0
1 < n < 999
• Omitting a value for n returns a generated random number as-is. Specifying a value for n
returns the specified number of random values in list form.
Example
Operation
RanNorm# (8, 68)
(Randomly produces a body length value
obtained in accordance with the normal
distribution of a group of infants less than
one year old with a mean body length of
68cm and standard deviation of 8.)
K6(g)3(PROB)4(RAND)3(Norm)
8,68)w
RanNorm# (8, 68, 5)
(Randomly produces the body lengths of five
infants in the above example, and displays
them in a list.)
K6(g)3(PROB)4(RAND)3(Norm)
8,68,5)w
2-19
u Random Number Generation in Accordance with Binomial Distribution
(RanBin#)
This function generates random integers in accordance with binomial distribution based on
values specified for the number of trials n and probability p.
RanBin# (n, p [,m])
1 < n < 100000
1 < m < 999
0
2$5+3$1$4w
M
= 3.65 (Conversion to decimal)*1
1
1
––––– + ––––– = 6.066202547 × 10–4 *2
2578
4572
$1c2578e+$1c4572w
1$2578+1$4572w
1
–– × 0.5 = 0.25*3
2
$1c2e*.5w
1$2*.5w
*1 Fractions can be converted to decimal values and vice versa.
*2 When the total number of characters, including integer, numerator, denominator and delimiter
marks exceeds 10, the fraction is automatically displayed in decimal format.
*3 Calculations containing both fractions and decimals are calculated in decimal format.
• Pressing the !M(<) key toggles the display fraction between mixed fraction and
improper fraction format.
k Engineering Notation Calculations
Input engineering symbols using the engineering notation menu.
• Be sure to specify Comp for Mode in the Setup screen.
Example
Operation
999k (kilo) + 25k (kilo)
= 1.024M (mega)
!m(SET UP)ff4(Eng)J999K6(g)6(g)
1(ENG-SYM)6(g)1(k)+251(k)w
9 ÷ 10 = 0.9 = 900m (milli)
= 0.9
9/10w
K6(g)6(g)1(ENG-SYM)6(g)6(g)3(ENG)*1
= 0.0009k (kilo)
= 0.9
= 900m
3(ENG)*1
2(ENG)*2
2(ENG)*2
*1 Converts the displayed value to the next higher engineering unit, by shifting the decimal
point three places to the right.
*2 Converts the displayed value to the next lower engineering unit, by shifting the decimal point
three places to the left.
2-22
k Logical Operators (AND, OR, NOT, XOR)
[OPTN]-[LOGIC]
The logical operator menu provides a selection of logical operators.
• {And}/{Or}/{Not}/{Xor} ... {logical AND}/{logical OR}/{logical NOT}/{logical XOR}
• Be sure to specify Comp for Mode in the Setup screen.
Example
What is the logical AND of A and B when A = 3 and B = 2?
A AND B = 1
Operation
Display
3aav(A)w
2aal(B)w
av(A)K6(g)6(g)
4(LOGIC)1(And)al(B)w
1
u About Logical Operations
• A logical operation always produces either 0 or 1 as its result.
• The following table shows all of possible results that can be produced by AND, OR and XOR
operations.
Value or Expression A
Value or Expression B
A AND B
A OR B
A XOR B
A≠0
B≠0
1
1
0
A≠0
B=0
0
1
1
A=0
B≠0
0
1
1
A=0
B=0
0
0
0
• The following table shows the results produced by the NOT operation.
Value or Expression A
NOT A
A≠0
0
A=0
1
2-23
5. Numerical Calculations
The following explains the numerical calculation operations included in the function menu
displayed when K4(CALC) is pressed. The following calculations can be performed.
• {Int÷}/{Rmdr}/{Simp} ... {quotient}/{remainder}/{simplification}
• {Solve}/{d/dx}/{d2/dx2}/{∫dx}/{SolveN} ... {equality solution}/{first derivative}/{second
derivative}/{integration}/{f(x) function solution}
• {FMin}/{FMax}/{Σ(}/{logab} ... {minimum value}/{maximum value}/{summation}/{logarithm
logab}
k Quotient of Integer ÷ Integer
[OPTN]-[CALC]-[Int÷]
The “Int÷” function can be used to determine the quotient when one integer is divided by
another integer.
Example
To calculate the quotient of 107 ÷ 7
AbahK4(CALC)6(g)
6(g)1(Int÷)h
w
k Remainder of Integer ÷ Integer
[OPTN]-[CALC]-[Rmdr]
The “Rmdr” function can be used to determine the remainder when one integer is divided by
another integer.
Example
To calculate the remainder of 107 ÷ 7
AbahK4(CALC)6(g)
6(g)2(Rmdr)h
w
2-24
k Simplification
[OPTN]-[CALC]-[Simp]
The “'Simp” function can be used to simplify fractions manually. The following operations can
be used to perform simplification when an unsimplified calculation result is on the display.
• {Simp} w ... This function automatically simplifies the displayed calculation result using the
smallest prime number available. The prime number used and the simplified result are
shown on the display.
• {Simp} n w ... This function performs simplification according to the specified divisor n.
Under initial default settings, this calculator automatically simplifies fraction calculation results
before displaying them. Before performing the following examples, use the Setup screen to
change the “Simplify” setting from “Auto” to “Manual” (page 1-35).
• When “a+bi” or “r∠θ” is specified for the Setup screen “Complex Mode” setting, fraction
calculation results always are simplified before being displayed, even if the “Simplify” setting
is “Manual”.
• If you want to simplify fractions manually (Simplify: Manual), make sure that the “Real” is
selected for the “Complex Mode” setting.
Example 1
To simplify
15
60
5
1
15
=
=
4
60 20
A$bfcgaw
K4(CALC)6(g)6(g)3(Simp)w
3(Simp)w
The “F=” value is the divisor.
2-25
Example 2
To simplify
27
specifying a divisor of 9
63
3
27
=
7
63
A$chcgdw
K4(CALC)6(g)6(g)3(Simp)j
w
• An error occurs if simplification cannot be performed using the specified divisor.
• Executing 'Simp while a value that cannot be simplified is displayed will return the original
value, without displaying “F=”.
k Solve Calculations
[OPTN]-[CALC]-[Solve]
The following is the syntax for using the Solve function in a program.
Solve( f(x), n, a, b)
(a: lower limit, b: upper limit, n: initial estimated value)
There are two different input methods that can be used for Solve calculations: direct
assignment and variable table input.
With the direct assignment method, you assign values directly to variables. This type of input is
identical to that used with the Solve command used in the Program mode.
Variable table input is used with the Solve function in the Equation mode. This input method is
recommended for most normal Solve function input.
An error (Time Out) occurs when there is no convergence of the solution.
For information about Solve calculations, see page 4-4.
• You cannot use a second derivative, Σ, maximum/minimum value or Solve calculation
expression inside of any of the above functions.
• Pressing A during calculation of Solve (while the cursor is not shown on the display)
interrupts the calculation.
k Solving an f(x) Function
[OPTN]-[CALC]-[SolveN]
You can use SolveN to solve an f(x) function using numerical analysis. The following is the
input syntax.
SolveN (left side [=right side] [,variable] [, lower limit, upper limit])
• The right side, variable, lower limit and upper limit all can be omitted.
• “left side[=right side]” is the expression to be solved. Supported variables are A through Z, r,
and θ. When the right side is omitted, solution is perform using right side = 0.
• The variable specifies the variable within the expression to be solved for (A through Z, r, θ).
Omitting a variable specification cause X to be used as the variable.
2-26
• The lower limit and upper limit specify the range of the solution. You can input a value or an
expression as the range.
• The following functions cannot be used within any of the arguments.
Solve(, d2/dx2(, FMin(, FMax(, Σ(
Up to 10 calculation results can be displayed simultaneously in ListAns format.
• The message “No Solution” is displayed if no solution exists.
• The message “More solutions may exist.” is displayed when there may be solutions other
than those displayed by SolveN.
Example
To solve x2 – 5x – 6 = 0
K4(CALC)5(SolveN)
vx-fv-g)w
J
k First Derivative Calculations
[OPTN]-[CALC]-[d/dx]
To perform first derivative calculations, first display the function analysis menu, and then input
the values using the syntax below.
K4(CALC)2(d/dx) f(x)ea
or
4(MATH)4(d/dx) f(x)ea
K4(CALC)2(d/dx) f(x),a)
a is the point for which you want to determine the first derivative.
d/dx ( f (x), a) ⇒
d f (a)
dx
The derivative is defined as:
f (a + Ax) – f (a)
f ' (a) = lim –––––––––––––
Ax→0
Ax
2-27
In this definition, infinitesimal is replaced by a sufficiently small Ax, with the value in the
neighborhood of f' (a) calculated as:
f (a + Ax) – f (a)
f ' (a) –––––––––––––
Ax
Example
To determine the derivative at x = 3 for the function y = x3 + 4x2 + x – 6
Input the function f(x).
AK4(CALC)2(d/dx)vMde+evx+v-ge
Input point x = a for which you want to determine the derivative.
dw
Using First Derivative Calculation in a Graph Function
• You can omit input of the value a in the syntax on page 2-27 by using the following format
for the first derivative graph: Y2 = d/dx (Y1). In this case, the value of the X variable is used
instead of the value a.
First Derivative Calculation Precautions
• In the function f(x), only X can be used as a variable in expressions. Other variables
(A through Z excluding X, r, ) are treated as constants, and the value currently assigned to
that variable is applied during the calculation.
• Pressing A during calculation of a first derivative (while the cursor is not shown on the
display) interrupts the calculation.
• Inaccurate results and errors can be caused by the following:
- discontinuous points in x values
- extreme changes in x values
- inclusion of the local maximum point and local minimum point in x values
- inclusion of the inflection point in x values
- inclusion of undifferentiable points in x values
- first derivative calculation results approaching zero
• Always use radians (Rad mode) as the angle unit when performing trigonometric first
derivatives.
• You cannot use a first derivative, second derivative, integration, Σ, maximum/minimum value,
Solve or RndFix calculation expression inside a first derivative calculation term.
2-28
k Second Derivative Calculations
[OPTN]-[CALC]-[d2/dx2]
After displaying the function analysis menu, you can input second derivatives using the
following syntax.
K4(CALC)3(d2/dx2) f(x)ea
or
4(MATH)5(d2/dx2) f(x)ea
K4(CALC)3(d2/dx2) f(x),a)
a is the point for which you want to determine the second derivative.
d 2 ( f (x), a)
d2
–––
⇒ –––2 f (a)
2
dx
dx
Second derivative calculations produce an approximate derivative value using the following
second derivative formula, which is based on Newton’s polynomial interpretation.
f ''(a) =
2 f(a + 3h) – 27 f(a + 2h) + 270 f(a + h) – 490 f(a) + 270 f(a – h) – 27 f(a –2h) + 2 f(a – 3h)
180h2
In this expression, values for “sufficiently small increments of h” are used to obtain a value that
approximates f"(a).
Example
To determine the second derivative at x = 3 for the function
y = x3 + 4x2 + x – 6
Input the function f(x).
AK4(CALC)3(d2/dx2)vMde+evx+v-ge
Input 3 as point a, which is the derivative point.
dw
Using Second Derivative Calculation in a Graph Function
You can omit input of the value a in the syntax above by using the following format for the
second derivative graph: Y2 = d2/dx2 (Y1). In this case, the value of the X variable is used
instead of the value a.
Second Derivative Calculation Precautions
The precautions that apply for first derivative also apply when using a second derivative
calculation (see page 2-28).
2-29
[OPTN]-[CALC]-[∫dx]
k Integration Calculations
To perform integration calculations, first display the function analysis menu and then input the
values using the syntax below.
K4(CALC)4(∫dx) f(x)e a f b
or
4(MATH)6(g)1(∫dx) f(x)e a f b
K4(CALC)4(∫dx) f(x) , a , b , tol )
(a: lower limit, b: upper limit, tol: tolerance)
∫( f(x), a, b, tol) ⇒ ∫a f(x)dx
b
Area of
∫
b
a
f(x)dx is calculated
As shown in the illustration above, integration calculations are performed by calculating
integral values from a through b for the function y = f (x) where a < x < b, and f (x) > 0. This in
effect calculates the surface area of the shaded area in the illustration.
Example
To perform the integration calculation for the function shown below,
with a tolerance of “tol” = 1E – 4
∫
5
1
(2x2 + 3x + 4) dx
• Math input/output mode
K4(CALC)4(∫dx)cvx+
dv+eebffw
• Linear input/output mode
Input the function f (x).
AK4(CALC)4(∫dx)cvx+dv+e,
Input the start point, end point, and the tolerance value.
b,f,bE-e)w
2-30
Note the following points to ensure correct integration values.
(1) When cyclical functions for integration values become positive or negative for different
divisions, perform the calculation for single cycles, or divide between negative and positive,
and then add the results together.
Positive
part (S )
Negative part (S )
∫
b
a
f(x)dx =
∫
c
a
f(x)dx + (–
Positive part (S)
∫
b
c
f(x)dx)
Negative part (S)
(2) When minute fluctuations in integration divisions produce large fluctuations in integration
values, calculate the integration divisions separately (divide the large fluctuation areas into
smaller divisions), and then add the results together.
∫
b
a
f(x)dx =
∫
x
a
1
f(x)dx +
∫
x
2
x
1
f(x)dx +.....+
∫
b
x
f(x)dx
4
• Pressing A during calculation of an integral (while the cursor is not shown on the display)
interrupts the calculation.
• Always use radians (Rad mode) as the angle unit when performing trigonometric
integrations.
• An error (Time Out) occurs whenever no solution that satisfies the tolerance value can be
obtained.
2-31
Integration Calculation Precautions
• In the function f(x), only X can be used as a variable in expressions. Other variables (A
through Z excluding X, r, ) are treated as constants, and the value currently assigned to
that variable is applied during the calculation.
• Input of “tol” and closing parenthesis can be omitted. If you omit “tol,” the calculator
automatically uses a default value of 1E–5.
• Integration calculations can take a long time to complete.
• You cannot use a first derivative, second derivative, integration, Σ, maximum/minimum value,
Solve or RndFix calculation expression inside of an integration calculation term.
• In the Math input/output mode, the tolerance value is fixed at 1E–5 and cannot be changed.
k Σ Calculations
[OPTN]-[CALC]-[Σ(]
To perform Σ calculations, first display the function analysis menu, and then input the values
using the syntax below.
K4(CALC)6(g)3(Σ( ) ak e k e α e β
or
4(MATH)6(g)2(Σ( ) ak e k e α e β
K4(CALC)6(g)3(Σ( ) ak , k , α , β , n )
Σ
(a k, k, α, β, n) =
β
Σ a =a
k
k=α
α
+ aα +1 +........+ aβ
(n: distance between partitions)
Example
To calculate the following:
6
Σ (k
2
– 3k + 5)
k=2
Use n = 1 as the distance between partitions.
AK4(CALC)6(g)3(Σ( )a,(K)
x-da,(K)+fe
a,(K)ecegw
Σ Calculation Precautions
• The value of the specified variable changes during a Σ calculation. Be sure to keep separate
written records of the specified variable values you might need later before you perform the
calculation.
• You can use only one variable in the function for input sequence ak.
2-32
• Input integers only for the initial term (α) of sequence ak and last term (β) of sequence ak.
• Input of n and the closing parentheses can be omitted. If you omit n, the calculator
automatically uses n = 1.
• Make sure that the value used as the final term β is greater than the value used as the initial
term α. Otherwise, an error will occur.
• To interrupt an ongoing Σ calculation (indicated when the cursor is not on the display), press
the A key.
• You cannot use a first derivative, second derivative, integration, Σ, maximum/minimum value,
Solve or RndFix calculation expression inside of a Σ calculation term.
• In the Math input/output mode, the distance between partitions (n) is fixed at 1 and cannot be
changed.
k Maximum/Minimum Value Calculations
[OPTN]-[CALC]-[FMin]/[FMax]
After displaying the function analysis menu, you can input maximum/minimum calculations
using the formats below, and solve for the maximum and minimum of a function within interval
a < x < b.
u Minimum Value
K4(CALC)6(g)1(FMin) f (x) , a , b , n )
(a: start point of interval, b: end point of interval, n: precision (n = 1 to 9))
u Maximum Value
K4(CALC)6(g)2(FMax) f (x), a , b , n )
(a: start point of interval, b: end point of interval, n: precision (n = 1 to 9))
Example
To determine the minimum value for the interval defined by start
point a = 0 and end point b = 3, with a precision of n = 6 for the function
y = x2 – 4x + 9
Input f (x).
AK4(CALC)6(g)1(FMin)vx-ev+j,
Input the interval a = 0, b = 3.
a,d,
Input the precision n = 6.
g)w
• In the function f (x), only X can be used as a variable in expressions. Other variables (A
through Z excluding X, r, ) are treated as constants, and the value currently assigned to
that variable is applied during the calculation.
2-33
• Input of n and the closing parenthesis can be omitted.
• Discontinuous points or sections with drastic fluctuation can adversely affect precision or
even cause an error.
• Inputting a larger value for n increases the precision of the calculation, but it also increases
the amount of time required to perform the calculation.
• The value you input for the end point of the interval (b) must be greater than the value you
input for the start point (a). Otherwise an error occurs.
• You can interrupt an ongoing maximum/minimum calculation by pressing the A key.
• You can input an integer in the range of 1 to 9 for the value of n. Using any value outside this
range causes an error.
• You cannot use a first derivative, second derivative, integration, Σ, maximum/minimum value,
Solve or RndFix calculation expression inside of a maximum/minimum calculation term.
6. Complex Number Calculations
You can perform addition, subtraction, multiplication, division, parentheses calculations,
function calculations, and memory calculations with complex numbers just as you do with the
manual calculations described on pages 2-1 to 2-17.
• The input/output range of complex numbers is normally 10 digits for the mantissa and two
digits for the exponent.
• The following functions can be used with complex numbers.
', x 2, x –1, ^(x y), 3', x', In, log, logab, 10x, e x, Int, Frac, Rnd, Intg, RndFix(, Fix, Sci, ENG,
ENG, ° ’ ”, ° ’ ”, a b/c, d /c
You can select the complex number calculation mode by changing the Complex Mode item on
the Setup screen to one of the following settings.
• {Real} ... Calculation in the real number range only*1
• {a+bi} ... Performs complex number calculation and displays results in rectangular form
• {r∠} ... Performs complex number calculation and displays results in polar form*2
*1 When there is an imaginary number in the argument, however, complex number calculation
is performed and the result is displayed using rectangular form.
Examples:
ln 2i
= 0.6931471806 + 1.570796327i
ln 2i + ln (– 2) = (Non-Real ERROR)
* The display range of depends on the angle unit set for the Angle item on the Setup
screen.
2
• Deg ... –180 < < 180
• Rad ... – π < < π
• Gra ... –200 < < 200
2-34
Press K3(COMPLEX) to display the complex calculation number menu, which contains
the following items.
• {i} ... {imaginary unit i input}
• {Abs}/{Arg} ... obtains {absolute value}/{argument}
• {Conjg} ... {obtains conjugate}
• {ReP}/{ImP} ... {real}/{imaginary} part extraction
• {'r∠}/{'a+bi} ... converts the result to {polar}/{rectangular} form
• You can also use !a(i) in place of K3(COMPLEX)1(i).
• Solutions obtained by the Real, a+bi and r∠ modes are different for power root (x')
calculations when x < 0 and y = m/n when n is an odd number.
Example: 3x' (– 8) = – 2 (Real)
= 1 + 1.732050808i (a +b i)
= 2∠60 (r ∠ , Deg mode)
• To input the “ ∠ ” operator into the polar coordinate expression (r ∠ ), press !v(∠).
k Arithmetic Operations
[OPTN]-[COMPLEX]-[i]
Arithmetic operations are the same as those you use for manual calculations. You can even
use parentheses and memory.
Example
(1 + 2i) + (2 + 3i)
AK3(COMPLEX)
(b+c1(i))
+(c+d1(i))w
k Reciprocals, Square Roots, and Squares
Example
(3 + i)
AK3(COMPLEX)
!x(')(d+1(i))w
2-35
k Complex Number Format Using Polar Form
Example
2∠30 × 3∠45 = 6∠75
!m(SET UP)cccccc
1(Deg)c3(r∠)J
Ac!v(∠)da*d
!v(∠)efw
k Absolute Value and Argument
[OPTN]-[COMPLEX]-[Abs]/[Arg]
The unit regards a complex number in the form a + bi as a coordinate on a Gaussian plane,
and calculates absolute value⎮Z ⎮and argument (arg).
Example
To calculate absolute value (r) and argument () for the complex
number 3 + 4i, with the angle unit set for degrees
Imaginary axis
Real axis
AK3(COMPLEX)2(Abs)
d+e1(i)w
(Calculation of absolute value)
AK3(COMPLEX)3(Arg)
(d+e1(i))w
(Calculation of argument)
• The result of the argument calculation differs in accordance with the current angle unit
setting (degrees, radians, grads).
2-36
k Conjugate Complex Numbers
[OPTN]-[COMPLEX]-[Conjg]
A complex number of the form a + bi becomes a conjugate complex number of the form
a – bi.
Example
To calculate the conjugate complex number for the complex number
2 + 4i
AK3(COMPLEX)4(Conjg)
(c+e1(i))w
k Extraction of Real and Imaginary Parts
[OPTN]-[COMPLEX]-[ReP]/[lmP]
Use the following procedure to extract the real part a and the imaginary part b from a complex
number of the form a + bi.
Example
To extract the real and imaginary parts of the complex number 2 + 5i
AK3(COMPLEX)6(g)1(ReP)
(c+f6(g)1(i))w
(Real part extraction)
AK3(COMPLEX)6(g)2(ImP)
(c+f6(g)1(i))w
(Imaginary part extraction)
k Polar and Rectangular Form Transformation
[OPTN]-[COMPLEX]-['r∠]/['a+bi]
Use the following procedure to transform a complex number displayed in rectangular form to
polar form, and vice versa.
Example
To transform the rectangular form of complex number 1 + '
3 i to its
polar form
!m(SET UP)cccccc
1(Deg)c2(a+bi)J
Ab+(!x(')de)
K3(COMPLEX)1(i)6(g)
3('r∠θ)w
Ac!v(∠)ga
K3(COMPLEX)6(g)4('a+bi)w
2-37
7. Binary, Octal, Decimal, and Hexadecimal
Calculations with Integers
You can use the Run-Matrix mode and binary, octal, decimal, and hexadecimal settings to
perform calculations that involve binary, octal, decimal and hexadecimal values. You can also
convert between number systems and perform bitwise operations.
• You cannot use scientific functions in binary, octal, decimal, and hexadecimal calculations.
• You can use only integers in binary, octal, decimal, and hexadecimal calculations, which
means that fractional values are not allowed. If you input a value that includes a decimal part,
the calculator automatically cuts off the decimal part.
• If you attempt to enter a value that is invalid for the number system (binary, octal, decimal,
hexadecimal) you are using, the calculator displays an error message. The following shows
the numerals that can be used in each number system.
Binary: 0, 1
Octal: 0, 1, 2, 3, 4, 5, 6, 7
Decimal: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Hexadecimal: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F
• Negative binary, octal, and hexadecimal values are produced using the two’s complement of
the original value.
• The following are the display capacities for each of the number systems.
Number System
Binary
Octal
Decimal
Hexadecimal
Display Capacity
16 digits
11 digits
10 digits
8 digits
• The alphabetic characters used in the hexadecimal number appear differently on the display
to distinguish them from text characters.
Normal Text
A
B
C
D
E
F
v
l
I
s
c
t
Hexadecimal Values
Keys
• The following are the calculation ranges for each of the number systems.
Binary Values
Positive: 0 < x < 111111111111111
Negative: 1000000000000000 < x < 1111111111111111
Octal Values
Positive: 0 < x < 17777777777
Negative: 20000000000 < x < 37777777777
Decimal Values
Positive: 0 < x < 2147483647
Negative: –2147483648 < x < –1
Hexadecimal Values
Positive: 0 < x < 7FFFFFFF
Negative: 80000000 < x < FFFFFFFF
2-38
k Selecting a Number System
You can specify decimal, hexadecimal, binary, or octal as the default number system using the
Setup screen.
u To perform a binary, octal, decimal, or hexadecimal calculation
[SET UP]-[Mode]-[Dec]/[Hex]/[Bin]/[Oct]
1. In the Main Menu, select Run-Matrix.
2. Press !m(SET UP). Move the highlighting to “Mode”, and then specify the default
number system by pressing 2(Dec), 3(Hex), 4(Bin), or 5(Oct) for the Mode setting.
3. Press J to change to the screen for calculation input. This causes a function menu with
the following items to appear.
• {d~o}/{LOGIC}/{DISPLAY} ... {number system specification}/{bitwise operation}/
{decimal/hexadecimal/binary/octal conversion} menu
u To specify a number system for an input value
You can specify a number system for each individual value you input. Press 1(d~o) to display
a menu of number system symbols. Press the function key that corresponds to the symbol you
want to select and then input the value.
• {d}/{h}/{b}/{o} ... {decimal}/{hexadecimal}/{binary}/{octal}
u To input values of mixed number systems
Example
To input 12310, when the default number system is hexadecimal
!m(SET UP)
Move the highlighting to “Mode”, and then
press 3(Hex)J.
A1(d~o)1(d)bcdw
k Negative Values and Bitwise Operations
Press 2(LOGIC) to display a menu of negation and bitwise operators.
• {Neg} ... {negation}*1
• {Not}/{and}/{or}/{xor}/{xnor} ... {NOT}*2/{AND}/{OR}/{XOR}/{XNOR}*3
*1 two’s complement
*2 one’s complement (bitwise complement)
*3 bitwise AND, bitwise OR, bitwise XOR, bitwise XNOR
2-39
u Negative Values
Example
To determine the negative of 1100102
!m(SET UP)
Move the highlighting to “Mode”, and then
press 4(Bin)J.
A2(LOGIC)1(Neg)
bbaabaw
• Negative binary, octal, and hexadecimal values are produced by taking the binary two’s
complement and then returning the result to the original number base. With the decimal
number base, negative values are displayed with a minus sign.
u Bitwise Operations
Example
To input and execute “12016 and AD16”
!m(SET UP)
Move the highlighting to “Mode”, and then
press 3(Hex)J.
Abca2(LOGIC)
3(and)ADw
k Number System Transformation
Press 3(DISPLAY) to display a menu of number system transformation functions.
• {'Dec}/{'Hex}/{'Bin}/{'Oct} ... transformation of displayed value to its {decimal}/
{hexadecimal}/{binary}/{octal} equivalent
u To convert a displayed value from one number system to another
Example
To convert 2210 (default number system) to its binary or octal value
A!m(SET UP)
Move the highlighting to “Mode”, and then
press 2(Dec)J.
1(d~o)1(d)ccw
J3(DISPLAY)3('Bin)w
4('Oct)w
2-40
8. Matrix Calculations
From the Main Menu, enter the Run-Matrix mode, and press 3('MAT) to perform Matrix
calculations.
26 matrix memories (Mat A through Mat Z) plus a Matrix Answer Memory (MatAns), make it
possible to perform the following matrix operations.
• Addition, subtraction, multiplication, division
• Scalar multiplication calculations
• Determinant calculations
• Matrix transposition
• Matrix inversion
• Matrix squaring
• Raising a matrix to a specific power
• Absolute value, integer part extraction, fractional part extraction, maximum integer
calculations
• Inputting complex numbers in matrix elements and using complex number related functions
• Matrix modification using matrix commands
The maximum number of rows that can be specified for a matrix is 999, and the maximum
number of columns is 999.
Important!
• You can input either an upper-case X (a+(X)) or lower-case x (v) for matrix memory
“Mat X”. Both “Mat X” and “Mat x” refer to the same memory area.
About Matrix Answer Memory (MatAns)
The calculator automatically stores matrix calculation results in Matrix Answer Memory. Note
the following points about Matrix Answer Memory.
• Whenever you perform a matrix calculation, the current Matrix Answer Memory contents are
replaced by the new result. The previous contents are deleted and cannot be recovered.
• Inputting values into a matrix does not affect Matrix Answer Memory contents.
k Inputting and Editing Matrices
Pressing 3('MAT) displays the Matrix Editor screen. Use the Matrix Editor to input and edit
matrices.
m × n … m (row) × n (column) matrix
None… no matrix preset
• {DELETE}/{DEL-ALL} ... deletes {a specific matrix}/{all matrices}
• {DIM} ... {specifies the matrix dimensions (number of cells)}
• {CSV} ... {stores a matrix as a CSV file and imports the contents of CSV file into one of the
matrix memories (Mat A through Mat Z, and MatAns) (page 2-47)}
2-41
u Creating a Matrix
To create a matrix, you must first define its dimensions (size) in the Matrix Editor. Then you can
input values into the matrix.
u To specify the dimensions (size) of a matrix
Example
To create a 2-row × 3-column matrix in the area named Mat B
Highlight Mat B.
c
3(DIM) (This step can be omitted.)
Specify the number of rows.
cw
Specify the number of columns.
dw
w
• All of the cells of a new matrix contain the value 0.
• Changing the dimensions of a matrix deletes its current contents.
• If “Memory ERROR” remains next to the matrix area name after you input the dimensions, it
means there is not enough free memory to create the matrix you want.
u To input cell values
Example
To input the following data into Matrix B:
1 2 3
4 5 6
The following operation is a continuation of the example calculation on the previous page.
bwcwdw
ewfwgw
(Data is input into the highlighted cell. Each
time you press w, the highlighting moves
to the next cell to the right.)
• Displayed cell values show positive integers up to six digits, and negative integers up to five
digits (one digit used for the negative sign). Exponential values are shown with up to two
digits for the exponent. Fractional values are not displayed.
2-42
u Deleting Matrices
You can delete either a specific matrix or all matrices in memory.
u To delete a specific matrix
1. While the Matrix Editor is on the display, use f and c to highlight the matrix you want to
delete.
2. Press 1(DELETE).
3. Press 1(Yes) to delete the matrix or 6(No) to abort the operation without deleting
anything.
u To delete all matrices
1. While the Matrix Editor is on the display, press 2(DEL-ALL).
2. Press 1(Yes) to delete all matrices in memory or 6(No) to abort the operation without
deleting anything.
k Matrix Cell Operations
Use the following procedure to prepare a matrix for cell operations.
1. While the Matrix Editor is on the display, use f and c to highlight the name of the matrix
you want to use.
You can jump to a specific matrix by inputting the letter that corresponds to the matrix name.
Inputting ai(N), for example, jumps to Mat N.
Pressing !-(Ans) jumps to the matrix current memory.
2. Press w and the function menu with the following items appears.
• {ROW-OP} ... {row operation menu}
• {ROW}
• {DELETE}/{INSERT}/{ADD} ... row {delete}/{insert}/{add}
• {COLUMN}
• {DELETE}/{INSERT}/{ADD} ... column {delete}/{insert}/{add}
• {EDIT} ... {cell editing screen}
All of the following examples use Matrix A.
2-43
u Row Calculations
The following menu appears whenever you press 1(ROW-OP) while a recalled matrix is on
the display.
• {SWAP} ... {row swap}
• { Row} ... {product of specified row and scalar}
• { Row+} ... {addition of one row and the product of a specified row with a scalar}
• {Row+} ... {addition of specified row to another row}
u To swap two rows
Example
To swap rows two and three of the following matrix:
All of the operation examples are performed using the following matrix.
Matrix A =
1
2
3
4
5
6
1(ROW-OP)1(SWAP)
Input the number of the rows you want to swap.
cwdww
u To calculate the scalar multiplication of a row
Example
To calculate the product of row 2 and the scalar 4
1(ROW-OP)2( Row)
Input multiplier value.*
ew
Specify row number.
cww
* A complex number also can be input as multiplier value (k).
2-44
u To calculate the scalar multiplication of a row and add the result to another
row
Example
To calculate the product of row 2 and the scalar 4, then add the result to
row 3
1(ROW-OP)3( Row+)
Input multiplier value.*
ew
Specify number of row whose product should be calculated.
cw
Specify number of row where result should be added.
dww
* A complex number also can be input as multiplier value (k).
u To add two rows together
Example
To add row 2 to row 3
1(ROW-OP)4(Row+)
Specify number of row to be added.
cw
Specify number of row to be added to.
dww
u Row Operations
• {DELETE} ... {delete row}
• {INSERT} ... {insert row}
• {ADD} ... {add row}
u To delete a row
Example
To delete row 2
2(ROW)c
1(DELETE)
2-45
u To insert a row
Example
To insert a new row between rows one and two
2(ROW)c
2(INSERT)
u To add a row
Example
To add a new row below row 3
2(ROW)cc
3(ADD)
u Column Operations
• {DELETE} ... {delete column}
• {INSERT} ... {insert column}
• {ADD} ... {add column}
u To delete a column
Example
To delete column 2
3(COLUMN)e
1(DELETE)
2-46
k Transferring Data between Matrices and CSV Files
You can import the contents of a CSV file stored with this calculator or transferred from a
computer into one of the matrix memories (Mat A through Mat Z, and MatAns). You also can
save the contents of one of the matrix memories (Mat A through Mat Z, and MatAns) as a CSV
file.
u To import the contents of a CSV file to a matrix memory
1. Prepare the CSV file you want to import.
• See “Import CSV File Requirements” (page 3-18).
2. While the Matrix Editor is on the display, use f and c to highlight the name of the matrix
to which you want to import the CSV file contents.
• If the matrix you select already contains data, performing the following steps will overwrite
its current contents with the newly imported CSV file data.
3. Press 4(CSV)1(LOAD).
4. On the select file dialog box that appears, use f and c to move the highlighting to the
file you want to import and then press w.
• This imports the contents of the CSV file you specified to the matrix memory.
Important!
Attempting to import the following types of CSV files will result in an error.
• A CSV file that includes data that cannot be converted. In this case, an error message will
appear showing the location in the CSV file (Example: row 2, column 3) where the data that
cannot be converted is located.
• A CSV file with more than 999 columns or 999 rows. In this case, an “Invalid Data Size” error
will occur.
u To save matrix contents as a CSV file
1. While the Matrix Editor is on the display, use f and c to highlight the name of the matrix
whose contents you want to save as a CSV file.
2. Press 4(CSV)2(SAVE • AS).
• This displays a folder selection screen.
3. Select the folder where you want to save the CSV file.
• To store the CSV file in the root directory, highlight “Root”.
• To store the CSV file in a folder, use f and c to move the highlighting to the desired
folder and then press 1(OPEN).
4. Press 1(SAVE • AS).
5. Input up to eight characters for the file name and then press w.
2-47
Important!
• When saving matrix data to a CSV file, some data is converted as described below.
- Complex number data: Only the real number part is extracted.
- Fraction data: Converted to calculation line format (Example: 2{3{4 → =2+3/4)
- ' and π data: Converted to a decimal value (Example: '
3 → 1.732050808)
u To specify the CSV file delimiter symbol and decimal point
While the Matrix Editor is on the display, press 4(CSV)3(SET) to display the CSV format
setting screen. Next, perform the procedure from step 3 under “Specifying the CSV File
Delimiter Symbol and Decimal Point” (page 3-20).
k Modifying Matrices Using Matrix Commands
[OPTN]-[MAT]
u To display the matrix commands
1. From the Main Menu, enter the Run-Matrix mode.
2. Press K to display the option menu.
3. Press 2(MAT) to display the matrix command menu.
The following describes only the matrix command menu items that are used for creating
matrices and inputting matrix data.
• {Mat} ... {Mat command (matrix specification)}
• {Mat→Lst} ... {Mat→List command (assign contents of selected column to a list)}
• {Augment} ... {Augment command (link two matrices)}
• {Identity} ... {Identity command (identity matrix input)}
• {Dim} ... {Dim command (dimension check)}
• {Fill(} ... {Fill command (identical cell values)}
• You can also use !c(Mat) in place of K2(MAT)1(Mat).
2-48
u Matrix Data Input Format
[OPTN]-[MAT]-[Mat]
The following shows the format you should use when inputting data to create a matrix using
the Mat command.
a11 a12 ... a1n
...
...
a22 ... a2n
...
a21
am1
am2 ... amn
= [ [a11, a12, ..., a1n] [a21, a22, ..., a2n] .... [am1, am2, ..., amn] ]
→ Mat [letter A through Z]
Example
To input the following data as Matrix A:
1 3 5
2 4 6
!+( [ )!+( [ )b,d,f
!-( ] )!+( [ )c,e,g
!-( ] )!-( ] )aK2(MAT)
1(Mat)av(A)
w
• The maximum value of both m and n is 999.
• An error occurs if memory becomes full as you are inputting data.
• You can also use the above format inside a program that inputs matrix data.
u To input an identity matrix
[OPTN]-[MAT]-[Identity]
Use the Identity command to create an identity matrix.
Example
To create a 3 × 3 identity matrix as Matrix A
K2(MAT)6(g)1(Identity)
da6(g)1(Mat)av(A)w
Number of rows/columns
2-49
u To check the dimensions of a matrix
[OPTN]-[MAT]-[Dim]
Use the Dim command to check the dimensions of an existing matrix.
Example 1
To check the dimensions of Matrix A
K2(MAT)6(g)2(Dim)
6(g)1(Mat)av(A)w
The display shows that Matrix A consists of two rows and three columns.
Since the result of the Dim command is list type data, it is stored in ListAns Memory.
You can also use {Dim} to specify the dimensions of the matrix.
Example 2
To specify dimensions of 2 rows and 3 columns for Matrix B
!*( )c,d!/( )a
K2(MAT)6(g)2(Dim)
6(g)1(Mat)al(B)w
u Modifying Matrices Using Matrix Commands
You can also use matrix commands to assign values to and recall values from an existing
matrix, to fill in all cells of an existing matrix with the same value, to combine two matrices into
a single matrix, and to assign the contents of a matrix column to a list.
u To assign values to and recall values from an existing matrix
[OPTN]-[MAT]-[Mat]
Use the following format with the Mat command to specify a cell for value assignment and
recall.
Mat X [m, n]
X = matrix name (A through Z, or Ans)
m = row number
n = column number
2-50
Example 1
To assign 10 to the cell at row 1, column 2 of the following matrix:
1 2
Matrix A =
3
4
5
6
baaK2(MAT)1(Mat)
av(A)!+( )b,c
!-( )w
Example 2
Multiply the value in the cell at row 2, column 2 of the above matrix by 5
K2(MAT)1(Mat)
av(A)!+( )c,c
!-( )*fw
u To fill a matrix with identical values and to combine two matrices into a
single matrix
[OPTN]-[MAT]-[Fill(]/[Augment]
Use the Fill( command to fill all the cells of an existing matrix with an identical value and the
Augment command to combine two existing matrices into a single matrix.
Example 1
To fill all of the cells of Matrix A with the value 3
K2(MAT)6(g)3(Fill( )
d,6(g)1(Mat)av(A))w
Example 2
To combine the following two matrices:
1
3
A=
B=
2
4
K2(MAT)5(Augment)
1(Mat)av(A),
1(Mat)al(B))w
• The two matrices you combine must have the same number of rows. An error occurs if you
try to combine two matrices that have different number of rows.
• You can use Matrix Answer Memory to assign the results of the above matrix input and edit
operations to a matrix variable. To do so, use the following syntax.
Augment (Mat α, Mat β) → Mat γ
In the above, α, β, and γ are any variable names A through Z.
The above does not affect the contents of Matrix Answer Memory.
2-51
u To assign the contents of a matrix column to a list
[OPTN]-[MAT]-[Mat→Lst]
Use the following format with the Mat→List command to specify a column and a list.
Mat→List (Mat X, m) → List n
X = matrix name (A through Z)
m = column number
n = list number
Example
To assign the contents of column 2 of the following matrix to list 1:
Matrix A =
1
2
3
4
5
6
K2(MAT)2(Mat→Lst)
1(Mat)av(A),c)
aK1(LIST)1(List)bw
1(List)bw
k Matrix Calculations
[OPTN]-[MAT]
Use the matrix command menu to perform matrix calculation operations.
u To display the matrix commands
1. From the Main Menu, enter the Run-Matrix mode.
2. Press K to display the option menu.
3. Press 2(MAT) to display the matrix command menu.
The following describes only the matrix commands that are used for matrix arithmetic
operations.
• {Mat} ... {Mat command (matrix specification)}
• {Det} ... {Det command (determinant command)}
• {Trn} ... {Trn command (transpose matrix command)}
• {Identity} ... {Identity command (identity matrix input)}
• {Ref} ... {Ref command (row echelon form command)}
• {Rref} ... {Rref command (reduced row echelon form command)}
All of the following examples assume that matrix data is already stored in memory.
2-52
u Matrix Arithmetic Operations
Example 1
[OPTN]-[MAT]-[Mat]/[Identity]
To add the following two matrices (Matrix A + Matrix B):
A=
1
1
2
1
B=
2
3
2
1
K2(MAT)1(Mat)av(A)+
1(Mat)al(B)w
Example 2
To multiply the two matrices in Example 1 (Matrix A × Matrix B)
K2(MAT)1(Mat)av(A)*
1(Mat)al(B)w
• The two matrices must have the same dimensions in order to be added or subtracted. An
error occurs if you try to add or subtract matrices of different dimensions.
• For multiplication (Matrix 1 × Matrix 2), the number of columns in Matrix 1 must match the
number of rows in Matrix 2. Otherwise, an error occurs.
u Determinant
Example
[OPTN]-[MAT]-[Det]
Obtain the determinant for the following matrix:
1 2 3
Matrix A =
4
5
6
−1 −2
0
K2(MAT)3(Det)1(Mat)
av(A)w
• Determinants can be obtained only for square matrices (same number of rows and columns).
Trying to obtain a determinant for a matrix that is not square produces an error.
• The determinant of a 2 × 2 matrix is calculated as shown below.
|A| =
a11 a12
a21 a22
= a11a22 – a12a21
• The determinant of a 3 × 3 matrix is calculated as shown below.
|A| =
a11 a12 a13
a21 a22 a23
a31 a32 a33
= a11a22a33 + a12a23a31 + a13a21a32 – a11a23a32 – a12a21a33 – a13a22a31
2-53
u Matrix Transposition
[OPTN]-[MAT]-[Trn]
A matrix is transposed when its rows become columns and its columns become rows.
Example
To transpose the following matrix:
Matrix A =
1
2
3
4
5
6
K2(MAT)4(Trn)1(Mat)
av(A)w
u Row Echelon Form
[OPTN]-[MAT]-[Ref]
This command uses the Gaussian elimination algorithm to find the row echelon form of a
matrix.
Example
To find the row echelon form of the following matrix:
Matrix A =
1
2
3
4
5
6
K2(MAT)6(g)4(Ref)
6(g)1(Mat)av(A)w
2-54
u Reduced Row Echelon Form
[OPTN]-[MAT]-[Rref]
This command finds the reduced row echelon form of a matrix.
Example
To find the reduced row echelon form of the following matrix:
Matrix A =
2
−1
3
19
1
1
−5
−21
0
4
3
0
K2(MAT)6(g)5(Rref)
6(g)1(Mat)av(A)w
• The row echelon form and reduced row echelon form operation may not produce accurate
results due to dropped digits.
u Matrix Inversion
Example
[x–1]
To invert the following matrix:
Matrix A =
1
2
3
4
K2(MAT)1(Mat)
av(A)!)(x–1)w
• Only square matrices (same number of rows and columns) can be inverted. Trying to invert a
matrix that is not square produces an error.
• A matrix with a determinant of zero cannot be inverted. Trying to invert a matrix with
determinant of zero produces an error.
• Calculation precision is affected for matrices whose determinant is near zero.
• A matrix being inverted must satisfy the conditions shown below.
A A–1 = A–1 A = E =
1 0
0 1
The following shows the formula used to invert Matrix A into inverse matrix A–1.
A=
a b
c d
A–1=
1
ad – bc
d –b
–c a
Note that ad – bc ≠ 0.
2-55
u Squaring a Matrix
Example
[x2]
To square the following matrix:
Matrix A =
1
2
3
4
K2(MAT)1(Mat)av(A)xw
u Raising a Matrix to a Power
Example
[^]
To raise the following matrix to the third power:
Matrix A =
1
2
3
4
K2(MAT)1(Mat)av(A)
Mdw
• For matrix power calculations, calculation is possible up to a power of 32766.
u Determining the Absolute Value, Integer Part, Fraction Part, and Maximum
[OPTN]-[NUMERIC]-[Abs]/[Frac]/[Int]/[Intg]
Integer of a Matrix
Example
To determine the absolute value of the following matrix:
Matrix A =
1
–2
–3
4
K6(g)4(NUMERIC)1(Abs)
K2(MAT)1(Mat)av(A)w
2-56
u Complex Number Calculations with a Matrix
Example
To determine the absolute value of a matrix with the following complex
number elements:
–1 + i
Matrix D =
1+i
1+i
–2 + 2i
K6(g)4(NUMERIC)1(Abs)
K2(MAT)1(Mat)as(D)w
• The following complex number functions are supported in matrices.
i, Abs, Arg, Conjg, ReP, ImP, 'a+bi, 'r∠θ
Note, however, that “'a+bi” and “'r∠θ” cannot be used in the Linear input/output mode.
Matrix Calculation Precautions
• Determinants and inverse matrices are subject to error due to dropped digits.
• Matrix operations are performed individually on each cell, so calculations may require
considerable time to complete.
• The calculation precision of displayed results for matrix calculations is ±1 at the least
significant digit.
• If a matrix calculation result is too large to fit into Matrix Answer Memory, an error occurs.
• You can use the following operation to transfer Matrix Answer Memory contents to another
matrix.
MatAns → Mat α
In the above, α is any variable name A through Z. The above does not affect the contents of
Matrix Answer Memory.
2-57
9. Metric Conversion Calculations
You can convert values from one unit of measurement to another. Measurement units are
classified according to the following 11 categories. The indicators in the “Display Name”
column show the text that appears in the calculator’s function menu.
Important!
Metric conversion commands are supported only when the Metric Conversion add-in
application is installed.
Display Name
Category
Display Name
Category
Display Name
Category
LENGTH
Length
TMPR
Temperature
PRESSURE
Pressure
AREA
Area
VELOCITY
Velocity
ENERGY
Energy/Work
VOLUME
Volume
MASS
Mass
POWER
Power
TIME
Time
FORCE
Force/Weight
You can convert from any unit in a category to any other unit in the same category.
• Attempting to convert from a unit in one category (such as “AREA”) to a unit in another
category (such as “TIME”) results in a Conversion ERROR.
• See the “Unit Conversion Command List” (page 2-60) for information about the units included
in each category.
2-58
k Performing a Unit Conversion Calculation
[OPTN]-[CONVERT]
Input the value you are converting from and the conversion commands using the syntax shown
below to perform a unit conversion calculation.
{value converting from}{conversion command 1} ' {conversion command 2}
• Use {conversion command 1} to specify the unit being converted from and {conversion
command 2} to specify the unit being converted to.
• ' is a command that links the two conversion commands. This command is always available
at 1(') of the Conversion menu.
• Real numbers or a list that contains real number elements only can be used as the value
being converted from. When values being converted from are input into a list (or when list
memory is specified), conversion calculation is performed for each element in the list and
calculation results are returned in list format (ListAns screen).
• A complex number cannot be used as a value to be converted from. An error occurs if even
a single element of a list being used as the value being converted from contains a complex
number.
Example 1
To convert 50cm to inches
AfaK6(g)1(CONVERT)
2(LENGTH)f(cm)1(')
2(LENGTH)ec(in)w
Example 2
To convert {175, 162} square meters to hectares
A!*({)bhf,bgc
!/(})
K6(g)1(CONVERT)3(AREA)
c(m2)1(')3(AREA)d(ha)w
2-59
k Unit Conversion Command List
Display Name
Cat.
Display Name
Unit
fm
fermi
cm3
cubic centimeter
Å
angstrom
mL
milliliter
micrometer
L
liter
mm
millimeter
m3
cubic meter
cm
centimeter
in3
cubic inch
m
meter
ft3
cubic foot
km
kilometer
AU
astronomical unit
l.y.
light year
pc
parsec
Mil
1/1000 inch
pt
pint
in
inch
qt
quart
ft
foot
tsp
teaspoon
yd
yard
tbsp
tablespoon
fath
fathom
cup
cup
rd
rod
ns
nanosecond
mile
mile
μs
microsecond
nautical mile
ms
millisecond
Volume
μm
n mile
Area
Unit
fl_oz(UK)
ounce
fl_oz(US)
fluid ounce (U.S.)
gal(US)
gallon
gal(UK)
UK gallon
cm2
square centimeter
m2
square meter
ha
hectare
km2
square kilometer
in2
square inch
week
week
ft2
square foot
yr
year
yd2
square yard
s-yr
sidereal year
acre
acre
t-yr
tropical year
mile2
square mile
Time
Length
Cat.
2-60
s
second
min
minute
h
hour
day
day
Temperature
°C
degrees Celsius
Pa
Pascal
K
Kelvin
kPa
Kilo Pascal
°F
degrees Fahrenheit
mmH2O
millimeter of water
°R
degrees Rankine
mmHg
millimeter of Mercury
m/s
meter per second
atm
atmosphere
km/h
kilometer per hour
inH2O
inch of water
knot
knot
inHg
inch of Mercury
ft/s
foot per second
lbf/in2
pound per square
inch
mile/h
u
mile per hour
Display Name
bar
kgf/cm2
atomic mass unit
eV
milligram
bar
kilogram force per
square centimeter
electron Volt
kg
kilogram
calth
calorieth
metric ton
cal15
calorie (15°C)
oz
avoirdupois ounce
calIT
calorieIT
lb
pound mass
kcalth
kilocalorieth
kcal15
kilocalorie (15°C)
kcalIT
kilocalorieIT
l-atm
liter atmosphere
slug
ton(short)
ton, short (2000lbm)
ton(long)
ton, long (2240lbm)
Energy/Work
gram
mton
J
Unit
g
slug
Force/Weight
Cat.
Joule
N
newton
kW•h
kilowatt hour
lbf
pound of force
ft•lbf
foot-pound
tonf
ton of force
Btu
British thermal unit
dyne
dyne
erg
erg
kgf
kilogram of force
kgf•m
W
calth/s
Power
Mass
mg
Unit
Pressure
Display Name
Velocity
Cat.
hp
ft•lbf/s
Btu/min
kilogram force meter
watt
calorie per second
horsepower
foot-pound per
second
British thermal unit
per minute
Source: NIST Special Publication 811 (1995)
2-61
Chapter 3 List Function
A list is a storage place for multiple data items.
This calculator lets you store up to 26 lists in a single file, and you can store up to six files in
memory. Stored lists can be used in arithmetic and statistical calculations, and for graphing.
Element number
List 1
SUB
1
2
3
4
5
6
7
8
•
•
•
•
56
37
21
69
40
48
93
30
Display range
Cell
List 2
List 3
1
2
4
8
16
32
64
128
107
75
122
87
298
48
338
49
•
•
•
•
•
•
•
•
•
•
•
•
Column
List 4
List 5
3.5
6
2.1
4.4
3
6.8
2
8.7
4
0
0
2
0
3
9
0
•
•
•
•
•
•
•
•
List 26
0
0
0
0
0
0
0
0
List name
Sub name
Row
•
•
•
•
1. Inputting and Editing a List
When you enter the Statistics mode, the “List Editor” will appear first. You can use the List
Editor to input data into a list and to perform a variety of other list data operations.
u To input values one-by-one
Use the cursor keys to move the highlighting to the list
name, sub name or cell you want to select. Note that c
does not move the highlighting to a cell that does not
contain a value.
The screen automatically scrolls when the highlighting is located at either edge of the screen.
The following example is performed starting with the highlighting located at Cell 1 of List 1.
1. Input a value and press w to store it in the list.
dw
• The highlighting automatically moves down to the next
cell for input.
3-1
3
2. Input the value 4 in the second cell, and then input the
result of 2 + 3 in the next cell.
ewc+dw
• You can also input the result of an expression or a complex number into a cell.
• You can input values up to 999 cells in a single list.
u To batch input a series of values
1. Use the cursor keys to move the highlighting to another
list.
2. Press !*( { ), and then input the values you want,
pressing , between each one. Press !/( } ) after
inputting the final value.
!*( { )g,h,i!/( } )
3. Press w to store all of the values in your list.
w
• Remember that a comma separates values, so you should not input a comma after the final
value of the set you are inputting.
Right: {34, 53, 78}
Wrong: {34, 53, 78,}
You can also use list names inside of a mathematical expression to input values into another
cell. The following example shows how to add the values in each row in List 1 and List 2, and
input the result into List 3.
1. Use the cursor keys to move the highlighting to the name
of the list where you want the calculation results to be
input.
3-2
2. Press K and input the expression.
K1(LIST)1(List)b+
K1(LIST)1(List)cw
• You can also use !b(List) in place of K1(LIST)1(List).
k Editing List Values
u To change a cell value
Use the cursor keys to move the highlighting to the cell whose value you want to change. Input
the new value and press w to replace the old data with the new one.
u To edit the contents of a cell
1. Use the cursor keys to move the highlighting to the cell whose contents you want to edit.
2. Press 6(g)2(EDIT).
3. Make any changes in the data you want.
u To delete a cell
1. Use the cursor keys to move the highlighting to the cell you want to delete.
2. Press 6(g)3(DELETE) to delete the selected cell and cause everything below it to be
shifted up.
• The cell delete operation does not affect cells in other lists. If the data in the list whose cell
you delete is somehow related to the data in neighboring lists, deleting a cell can cause
related values to become misaligned.
u To delete all cells in a list
Use the following procedure to delete all the data in a list.
1. Use the cursor key to move the highlighting to any cell of the list whose data you want to
delete.
2. Pressing 6(g)4(DEL-ALL) causes a confirmation message to appear.
3. Press 1(Yes) to delete all the cells in the selected list or 6(No) to abort the delete
operation without deleting anything.
3-3
u To insert a new cell
1. Use the cursor keys to move the highlighting to the location where you want to insert the
new cell.
2. Press 6(g)5(INSERT) to insert a new cell, which contains a value of 0, causing
everything below it to be shifted down.
• The cell insert operation does not affect cells in other lists. If the data in the list where you
insert a cell is somehow related to the data in neighboring lists, inserting a cell can cause
related values to become misaligned.
k Naming a List
You can assign List 1 through List 26 “sub names” of up to eight bytes each.
u To name a list
1. On the Setup screen, highlight “Sub Name” and then press 1(On)J.
2. Use the cursor keys to move the highlighting to the SUB cell of the list you want to name.
3. Type in the name and then press w.
• To type in a name using alpha characters, press !a to enter the ALPHA-LOCK
mode.
Example: YEAR
-(Y)c(E)v(A)g(R)w
3-4
• The following operation displays a sub name in the Run-Matrix mode.
!m(SET UP)2(Line)J
!b(List) n!+( [ )a!-( ] )w
(n = list number from 1 to 26)
• Though you can input up to 8 bytes for the sub name, only the characters that can fit within
the List Editor cell will be displayed.
• The List Editor SUB cell is not displayed when “Off” is selected for “Sub Name” on the Setup
screen.
k Changing the Data Color
You can change the color of data input into an individual cell or for all of the data input in a
particular list.
u To change the data color in a specific cell
1. Use the cursor keys to move the highlighting to the cell
whose character color you want to change.
• Be sure to select a cell that already contains input
data. You will not be able to perform the next step if you
select a cell that does not contain any input data.
2. Press !f(FORMAT) to display the color selection
dialog box.
3. Use the cursor keys to move the highlighting to the
desired color and then press w.
• You also can select an option by pressing the number
key that corresponds to the number to the left of the
desired option.
3-5
u To change the color of all the data in a particular list
1. Use the cursor keys to move the highlighting to the
list name of the list whose character color you want to
change.
• Be sure to select a list that already contains input data.
You will not be able to perform the next step if you
select a list that does not contain any input data.
2. Press !f(FORMAT) to display the color selection dialog box.
3. Use the cursor keys to move the highlighting to the
desired color and then press w.
• Changing the character color affects only cells that
already contain input data. After performing this
operation, any data input into any cell that did not
previously contain data will be the default color (black).
Note that this operation does not change the color of
the sub name.
k Sorting List Values
You can sort lists into either ascending or descending order. The highlighting can be located in
any cell of the list.
u To sort a single list
Ascending order
1. While the lists are on the screen, press 6(g)1(TOOL)1(SORTASC).
2. The prompt “How Many Lists?:” appears to ask how many lists you want to sort. Here we will
input 1 to indicate we want to sort only one list.
bw
3. In response to the “Select List List No:” prompt, input the number of the list you want to sort.
bw
Descending order
Use the same procedure as that for the ascending order sort. The only difference is that you
should press 2(SORTDES) in place of 1(SORTASC).
3-6
u To sort multiple lists
You can link multiple lists together for a sort so that all of their cells are rearranged in
accordance with the sorting of a base list. The base list is sorted into either ascending
order or descending order, while the cells of the linked lists are arranged so that the relative
relationship of all the rows is maintained.
Ascending order
1. While the lists are on the screen, press 6(g)1(TOOL)1(SORTASC).
2. The prompt “How Many Lists?:” appears to ask how many lists you want to sort. Here we will
sort one base list linked to one other list, so we should input 2.
cw
3. In response to the “Select Base List List No:” prompt, input the number of the list you want
to sort into ascending order. Here we will specify List 1.
bw
4. In response to the “Select Second List List No:” prompt, input the number of the list you
want to link to the base list. Here we will specify List 2.
cw
Descending order
Use the same procedure as that for the ascending order sort. The only difference is that you
should press 2(SORTDES) in place of 1(SORTASC).
• You can specify a value from 1 to 6 as the number of lists for sorting.
• If you specify a list more than once for a single sort operation, an error occurs.
An error also occurs if lists specified for sorting do not have the same number of values
(rows).
2. Manipulating List Data
List data can be used in arithmetic and function calculations. In addition, various list data
manipulation functions make manipulation of list data quick and easy.
You can use list data manipulation functions in the Run-Matrix, Statistics, Table, Equation
and Program modes.
3-7
k Accessing the List Data Manipulation Function Menu
All of the following examples are performed after entering the Run-Matrix mode.
Press K and then 1(LIST) to display the list data manipulation menu, which contains the
following items.
• {List}/{Lst→Mat}/{Dim}/{Fill(}/{Seq}/{Min}/{Max}/{Mean}/{Med}/{Augment}/{Sum}/{Prod}/
{Cuml}/{%}/{ΔList}
Note that all closing parentheses at the end of the following operations can be omitted.
u To transfer list contents to Matrix Answer Memory
[OPTN]-[LIST]-[Lst→Mat]
K1(LIST)2(Lst→Mat)1(List) ,1(List) ...
,1(List) )w
• You can skip input 1(List) in the part of the above operation.
• All the lists must contain the same number of data items. If they don’t, an error occurs.
Example: List → Mat (1, 2)w
Example
To transfer the contents of List 1 (2, 3, 6, 5, 4) to column 1, and the
contents of List 2 (11, 12, 13, 14, 15) to column 2 of Matrix Answer
Memory
AK1(LIST)2(Lst→Mat)
1(List)b,1(List)c)w
u To count the number of data items in a list
[OPTN]-[LIST]-[Dim]
K1(LIST)3(Dim)1(List) w
• The number of cells a list contains is its “dimension.”
Example
To count the number of values in List 1 (36, 16, 58, 46, 56)
AK1(LIST)3(Dim)
1(List)bw
3-8
u To create a list by specifying the number of data items
[OPTN]-[LIST]-[Dim]
Use the following procedure to specify the number of data in the assignment statement and
create a list.
aK1(LIST)3(Dim)1(List) w (n = 1 - 999)
Example
To create five data items (each of which contains 0) in List 1
AfaK1(LIST)3(Dim)
1(List)bw
You can view the newly created list by entering the
Statistics mode.
u To replace all data items with the same value
[OPTN]-[LIST]-[Fill(]
K1(LIST)4(Fill( ) ,1(List) )w
Example
To replace all data items in List 1 with the number 3
AK1(LIST)4(Fill( )
d,1(List)b)w
The following shows the new contents of List 1.
u To generate a sequence of numbers
[OPTN]-[LIST]-[Seq]
K1(LIST)5(Seq) , , ,
, )w
• The result of this operation is stored in ListAns Memory.
Example
To input the number sequence 12, 62, 112, into a list, using the function
f(x) = X2. Use a starting value of 1, an ending value of 11, and an
increment of 5.
AK1(LIST)5(Seq)vx,
v,b,bb,f)w
Specifying an ending value of 12, 13, 14, or 15 produces the same result as shown above
since they are less than the value produced by the next increment (16).
3-9
u To find the minimum value in a list
[OPTN]-[LIST]-[Min]
K1(LIST)6(g)1(Min)6(g)6(g)1(List) )w
Example
To find the minimum value in List 1 (36, 16, 58, 46, 56)
AK1(LIST)6(g)1(Min)
6(g)6(g)1(List)b)w
u To find which of two lists contains the greatest value
[OPTN]-[LIST]-[Max]
K1(LIST)6(g)2(Max)6(g)6(g)1(List) ,1(List)
)w
• The two lists must contain the same number of data items. If they don’t, an error occurs.
• The result of this operation is stored in ListAns Memory.
Example
To find whether List 1 (75, 16, 98, 46, 56) or List 2 (35, 59, 58, 72, 67)
contains the greatest value
K1(LIST)6(g)2(Max)
6(g)6(g)1(List)b,
1(List)c)w
u To calculate the mean of data items
[OPTN]-[LIST]-[Mean]
K1(LIST)6(g)3(Mean)6(g)6(g)1(List) )w
Example
To calculate the mean of data items in List 1 (36, 16, 58, 46, 56)
AK1(LIST)6(g)3(Mean)
6(g)6(g)1(List)b)w
u To calculate the median of data items of specified frequency
[OPTN]-[LIST]-[Med]
This procedure uses two lists: one that contains values and one that indicates the frequency
(number of occurrences) of each value. The frequency of the data in Cell 1 of the first list is
indicated by the value in Cell 1 of the second list, etc.
• The two lists must contain the same number of data items. If they don’t, an error occurs.
K1(LIST)6(g)4(Med)6(g)6(g)1(List) ,1(List)
)w
3-10
Example
To calculate the median of values in List 1 (36, 16, 58, 46, 56), whose
frequency is indicated by List 2 (75, 89, 98, 72, 67)
AK1(LIST)6(g)4(Med)
6(g)6(g)1(List)b,
1(List)c)w
u To combine lists
[OPTN]-[LIST]-[Augment]
• You can combine two different lists into a single list. The result of a list combination operation
is stored in ListAns memory.
K1(LIST)6(g)5(Augment)6(g)6(g)1(List) ,1(List)
)w
Example
To combine the List 1 (–3, –2) and List 2 (1, 9, 10)
AK1(LIST)6(g)5(Augment)
6(g)6(g)1(List)b,
1(List)c)w
u To calculate the sum of data items in a list
[OPTN]-[LIST]-[Sum]
K1(LIST)6(g)6(g)1(Sum)6(g)1(List) w
Example
To calculate the sum of data items in List 1 (36, 16, 58, 46, 56)
AK1(LIST)6(g)6(g)1(Sum)
6(g)1(List)bw
u To calculate the product of values in a list
[OPTN]-[LIST]-[Prod]
K1(LIST)6(g)6(g)2(Prod)6(g)1(List) w
Example
To calculate the product of values in List 1 (2, 3, 6, 5, 4)
AK1(LIST)6(g)6(g)2(Prod)
6(g)1(List)bw
3-11
u To calculate the cumulative frequency of each data item [OPTN]-[LIST]-[Cuml]
K1(LIST)6(g)6(g)3(Cuml)6(g)1(List) w
• The result of this operation is stored in ListAns Memory.
Example
To calculate the cumulative frequency of each data item in List 1
(2, 3, 6, 5, 4)
AK1(LIST)6(g)6(g)3(Cuml)
6(g)1(List)bw
1 2+3=
2 2+3+6=
3 2+3+6+5=
4 2+3+6+5+4=
1 2
u To calculate the percentage represented by each data item
3
4
[OPTN]-[LIST]-[%]
K1(LIST)6(g)6(g)4(%)6(g)1(List) w
• The above operation calculates what percentage of the list total is represented by each data
item.
• The result of this operation is stored in ListAns Memory.
Example
To calculate the percentage represented by each data item in List 1
(2, 3, 6, 5, 4)
AK1(LIST)6(g)6(g)4(%)
6(g)1(List)bw
1 2/(2+3+6+5+4) × 100 =
2 3/(2+3+6+5+4) × 100 =
3 6/(2+3+6+5+4) × 100 =
4 5/(2+3+6+5+4) × 100 =
5 4/(2+3+6+5+4) × 100 =
3-12
1
2
3
4
5
u To calculate the differences between neighboring data inside a list
[OPTN]-[LIST]-[ΔList]
K1(LIST)6(g)6(g)5(ΔList) w
• The result of this operation is stored in ListAns Memory.
Example
To calculate the difference between the data items in List 1 (1, 3, 8, 5, 4)
AK1(LIST)6(g)6(g)5(ΔList)
bw
13–1=
28–3=
35–8=
44–5=
1 2 3
4
• You can specify the storage location in list memory for a calculation result produced by a list
calculation whose result is stored in ListAns memory. For example, specifying “ΔList 1 → List
2” will store the result of ΔList 1 in List 2.
• The number of cells in the new ΔList is one less than the number of cells in the original list.
• An error occurs if you execute ΔList for a list that has no data or only one data item.
3. Arithmetic Calculations Using Lists
You can perform arithmetic calculations using two lists or one list and a numeric value.
List
Numeric Value
+
−
×
÷
ListAns Memory
List
=
Numeric Value
List
Calculation results are stored in
ListAns Memory.
k Error Messages
• A calculation involving two lists performs the operation between corresponding cells.
Because of this, an error occurs if the two lists do not have the same number of values
(which means they have different “dimensions”).
• An error occurs whenever an operation involving any two cells generates a mathematical
error.
3-13
k Inputting a List into a Calculation
There are three methods you can use to input a list into a calculation.
• Specification of the list number of a list created with List Editor.
• Specification of the sub name of a list created with List Editor.
• Direct input of a list of values.
u To specify the list number of a list created with List Editor
1. In the Run-Matrix mode, perform the following key operation.
AK1(LIST)1(List)
• Enter the “List” command.
2. Enter the list number (integer from 1 to 26) you want to specify.
u To specify the sub name of a list created with List Editor
1. In the Run-Matrix mode, perform the following key operation.
AK1(LIST)1(List)
• Enter the “List” command.
2. Enter the sub name of the list you want to specify, enclosed in double quotes (” ”).
Example: ”QTY”
u To directly input a list of values
You can also directly input a list of values using {, }, and ,.
Example
To input the list: 56, 82, 64
!*( { )fg,ic,
ge!/( } )
3-14
u To assign the contents of one list to another list
Use a to assign the contents of one list to another list.
Example
To assign the contents of List 3 (41, 65, 22) to List 1
K1(LIST)1(List)da1(List)bw
In place of 1(LIST)1(List)d operation in the above procedure, you could input
!*( { )eb,gf,cc!/( } ).
u To recall the value in a specific list cell
You can recall the value in a specific list cell and use it in a calculation. Specify the cell number
by enclosing it inside square brackets.
Example
To calculate the sine of the value stored in Cell 3 of List 2
sK1(LIST)1(List)c!+( [ )d!-( ] )w
u To input a value into a specific list cell
You can input a value into a specific list cell inside a list. When you do, the value that was
previously stored in the cell is replaced with the new value you input.
Example
To input the value 25 into Cell 2 of List 3
cfaK1(LIST)1(List)d!+( [ )c!-( ] )w
k Recalling List Contents
Example
To recall the contents of List 1
K1(LIST)1(List)bw
• The above operation displays the contents of the list you specify and also stores them in
ListAns Memory. You can then use the ListAns Memory contents in a calculation.
u To use list contents in ListAns Memory in a calculation
Example
To multiply the list contents in ListAns Memory by 36
K1(LIST)1(List)!-(Ans)*dgw
• The operation K1(LIST)1(List)!-(Ans) recalls ListAns Memory contents.
• This operation replaces current ListAns Memory contents with the result of the above
calculation.
3-15
k Graphing a Function Using a List
When using the graphing functions of this calculator, you can input a function such as Y1 =
List 1X. If List 1 contains the values 1, 2, 3, this function will produces three graphs: Y = X,
Y = 2X, Y = 3X.
There are certain limitations on using lists with graphing functions.
k Inputting Scientific Calculations into a List
You can use the numeric table generation functions in the Table mode to input values that
result from certain scientific function calculations into a list. To do this, first generate a table
and then use the list copy function to copy the values from the table to the list.
Example
To use the Table mode to create a number table for the formula (Y1 =
x2 –1), and then copy the table to List 1 in the Statistics mode
1. In the Table mode, input the formula Y1 = x2 –1.
2. Create the number table.
3. Use e to move the highlighting to the Y1 column.
4. Press K1(LISTMEM).
5. Press bw.
6. Enter the Statistics mode to confirm that Table mode column Y1 has been copied to List 1.
3-16
k Performing Scientific Function Calculations Using a List
Lists can be used just as numeric values are in scientific function calculations. When the
calculation produces a list as a result, the list is stored in ListAns Memory.
Example
To use List 3
41
65
to perform sin (List 3)
22
Use radians as the angle unit.
sK1(LIST)1(List)dw
4. Switching between List Files
You can store up to 26 lists (List 1 to List 26) in each file (File 1 to File 6). A simple operation
lets you switch between list files.
u To switch between list files
1. From the Main Menu, enter the Statistics mode.
Press !m(SET UP) to display the Statistics mode Setup screen.
2. Use c to highlight “List File”.
3. Press 1(FILE) and then input the number of the list file you want to use.
Example
To select File 3
1(FILE)d
w
All subsequent list operations are applied to the lists contained in the file you select (List File 3
in the above example).
3-17
5. Using CSV Files
You can import the contents of a CSV file stored with this calculator or transferred from a
computer into the List Editor. You also can save the contents of all the list data in the List Editor
as a CSV file. These operations are performed using the CSV function menu, which appears
when you press 6(g)6(g)1(CSV) while the List Editor is on the display.
k Import CSV File Requirements
A CSV file that has been output from the List Editor, Matrix Editor (page 2-41), or Spreadsheet
(page 9-4), or a CSV file transferred from a computer to storage memory can be used for
import. The following types of CSV files are supported for import.
• A CSV file that uses the comma ( , ) or semi-colon ( ; ) as its delimiter, and the period ( . ) or
comma ( , ) as its decimal point. A CSV file that uses the tab as its delimiter is not supported.
• CR, LF and CRLF are supported for the line break code.
• When importing a CSV file to the calculator, if the data in Line 1 of each column of the file
(or Line 1 of Column 1 of the file) contains double quotation marks ( " ) or a single quotation
mark ( ' ), Line 1 of all of the columns of the CSV file will be ignored, and data will be input
starting from Line 2.
For information about transferring files from a computer to the calculator, see “Chapter 13 Data
Communication”.
k Transferring Data between Lists and CSV Files
u To import the contents of a CSV file to the List Editor
1. Prepare the CSV file you want to import.
• See “Import CSV File Requirements” described above.
2. While the List Editor is on the display, press 6(g)6(g)1(CSV) to display the CSV
function menu.
3. What you should do next depends on the type of CSV file import operation you want to
perform.
To overwrite the entire contents
of the List Editor:
To start import from a specific row:
Use the cursor keys to move the highlighting to the
row from which you want to start importing data and
then press 1(LOAD)1(LIST).
3-18
Press 1(LOAD)2(FILE).
4. On the select file dialog box that appears, use f and c to move the highlighting to the
file you want to import and then press w.
• This imports the contents of the CSV file you specified to the List Editor.
• If you pressed 1(LOAD)1(LIST) in step 3, import starts from the row where the
highlighted cell is located, overwriting List Editor rows only with the same number of rows
contained in the CSV file.
Examples
List Editor Original Content
List 1
List 2
List 3
List 4
List 5
1
1
1
1
1
2
2
2
2
2
3
3
3
3
3
4
4
4
4
4
Highlighting
Import CSV File Data
20
20
20
30
30
30
40
40
40
List Editor Content following Import
List 1
List 2
List 3
List 4
List 5
1
20
20
20
1
2
30
30
30
2
3
40
40
40
3
4
4
Important!
Attempting to import the following types of CSV files will result in an error.
• A CSV file that includes data that cannot be converted. In this case, an error message will
appear showing the location in the CSV file (Example: row 2, column 3) where the data that
cannot be converted is located.
• A CSV file with more than 26 columns or 999 rows. In this case, an “Invalid Data Size” error
will occur.
3-19
u To save the contents of all the list data in the List Editor as a single CSV file
1. While the List Editor is on the display, press 6(g)6(g)1(CSV) to display the CSV
function menu.
2. Press 2(SAVE • AS).
• This displays a folder selection screen.
3. Select the folder where you want to save the CSV file.
• To store the CSV file in the root directory, highlight “Root”.
• To store the CSV file in a folder, use f and c to move the highlighting to the desired
folder and then press 1(OPEN).
4. Press 1(SAVE • AS).
5. Input up to eight characters for the file name and then press w.
Important!
• The sub name line of the List Editor is not saved in the CSV file.
• When saving list data to a CSV file, some data is converted as described below.
- Complex number data: Only the real number part is extracted.
- Fraction data: Converted to calculation line format (Example: 2{3{4 → =2+3/4)
- ' and π data: Converted to a decimal value (Example: '
3 → 1.732050808)
k Specifying the CSV File Delimiter Symbol and Decimal Point
When importing a CSV file that has been transferred from a computer to the calculator, specify
the delimiter symbol and decimal point in accordance with the settings you specified on the
application when outputting the CSV file. The comma ( , ) or semi-colon ( ; ) can be specified
for the delimiter, while the period ( . ) or comma ( , ) can be specified as the decimal point.
u To specify the CSV file delimiter symbol and decimal point
1. While the List Editor is on the display, press 6(g)6(g)1(CSV) to display the CSV
function menu.
2. Press 3(SET).
• This displays the CSV format setting screen.
3. Use the f and c keys to move the highlighting to “CSV Separator” and then press
1( , ) or 2( ; ).
4. Use the f and c keys to move the highlighting to “CSV Decimal Symbol” and then press
1( . ) or 2( , ).
• If you specified 1( , ) in step 3, you will not be able to specify 2( , ) here.
5. After the setting is the way you want, press J.
3-20
Chapter 4 Equation Calculations
From the Main Menu, enter the Equation mode.
• {SIMUL} ... {linear equation with 2 to 6 unknowns}
• {POLY} ... {degree 2 to 6 equation}
• {SOLVER} ... {Solve calculation}
1. Simultaneous Linear Equations
You can solve simultaneous linear equations with two to six unknowns.
• Simultaneous Linear Equation with Two Unknowns:
a1x + b1y = c1
a2x + b2y = c2
• Simultaneous Linear Equation with Three Unknowns:
…
a1x + b1y + c1z = d1
a2x + b2y + c2z = d2
a3x + b3y + c3z = d3
1. From the Main Menu, enter the Equation mode.
2. Select the SIMUL (Simultaneous) mode, and specify the number of unknowns (variables).
You can specify from 2 to 6 unknowns.
3. Sequentially input the coefficients.
• The cell that is currently selected for input is highlighted. Each time you input a coefficient,
the highlighting shifts in the sequence:
a1 → b1 → c1 → … an → bn → cn (n = 2 to 6)
• You can also input fractions and values assigned to variables as coefficients.
• You can cancel the value you are inputting for the current coefficient by pressing J at
any time before you press w to store the coefficient value. This returns to the coefficient
to what it was before you input anything. You can then input another value if you want.
• To change the value of a coefficient that you already stored by pressing w, move the
cursor to the coefficient you want to edit. Next, input the value you want to change to.
• Pressing 3(CLEAR) clears all coefficients to zero.
4. Solve the equations.
4-1
4
Example
To solve the following simultaneous linear equations for x, y, and z
4x + y – 2z = – 1
x + 6y + 3z = 1
– 5x + 4y + z = – 7
1 m Equation
2 1(SIMUL)
2(3)
3 ewbw-cw-bw
bwgwdwbw
-fwewbw-hw
4 1(SOLVE)
• Internal calculations are performed using a 15-digit mantissa, but results are displayed using
a 10-digit mantissa and a 2-digit exponent.
• Simultaneous linear equations are solved by inverting the matrix containing the coefficients
of the equations. For example, the following shows the solution (x, y, z) of a simultaneous
linear equation with three unknowns.
a1 b1 c1 –1 d1
x
y
d2
= a2 b2 c2
z
a3 b3 c3
d3
Because of this, precision is reduced as the value of the determinant approaches zero. Also,
simultaneous equations with three or more unknowns may take a very long time to solve.
• The message “No Solution” appears if there is no solution. The message “Infinitely Many
Solutions” appears if there are an infinite number of solutions. The message “Ma ERROR”
appears if a solution could not be found.
• After calculation is complete, you can press 1(REPEAT), change coefficient values, and
then re-calculate.
4-2
2. High-order Equations from 2nd to 6th Degree
Your calculator can be used to solve high-order equations from 2nd to 6th degree.
• Quadratic Equation: ax2 + bx + c = 0 (a 0)
• Cubic Equation:
…
• Quartic Equation:
ax3 + bx2 + cx + d = 0 (a 0)
ax4 + bx3 + cx2 + dx + e = 0 (a 0)
1. From the Main Menu, enter the Equation mode.
2. Select the POLY (Polynomial) mode, and specify the degree of the equation.
You can specify a degree 2 to 6.
3. Sequentially input the coefficients.
• The cell that is currently selected for input is highlighted. Each time you input a coefficient,
the highlighting shifts in the sequence:
a→b→c→…
• You can also input fractions and values assigned to variables as coefficients.
• You can cancel the value you are inputting for the current coefficient by pressing J at
any time before you press w to store the coefficient value. This returns to the coefficient
to what it was before you input anything. You can then input another value if you want.
• To change the value of a coefficient that you already stored by pressing w, move the
cursor to the coefficient you want to edit. Next, input the value you want to change to.
• Pressing 3(CLEAR) clears all coefficients to zero.
4. Solve the equations.
Example
To solve the cubic equation (Angle unit = Rad)
x3 – 2x2 – x + 2 = 0
1 m Equation
2 2(POLY)
2(3)
3 bw-cw-bwcw
4 1(SOLVE)
Multiple Solutions (Example: x3 + 3x2 + 3x + 1 = 0)
4-3
Complex Number Solution (Example: x3 + 2x2 + 3x + 2 = 0)
Complex Mode: Real (page 1-33)
Complex Mode: a + bi
Complex Mode: r∠θ
• Internal calculations are performed using a 15-digit mantissa, but results are displayed
using a 10-digit mantissa and a 2-digit exponent.
• It may take considerable time for the calculation result of a high-order equation of 3rd degree
or higher to appear on the display.
• An error occurs if the calculator is unable to find a solution.
• High-order equation calculations may not produce accurate results when the equation has
multiple solutions.
• After calculation is complete, you can press 1(REPEAT), change coefficient values, and
then re-calculate.
3. Solve Calculations
The Solve calculation mode lets you determine the value of any variable in a formula without
having to solve the equation.
Important!
• You can input either an upper-case X (a+(X)) or lower-case x (v) for variable X.
Both “X” and “x” refer to the same variable.
1. From the Main Menu, enter the Equation mode.
2. Select the SOLVER mode, and input the equation as it is written.
• If you do not input an equals sign, the calculator assumes that the expression is to the left
of the equals sign, and there is a zero to the right.
• An error occurs if you input more than one equals sign.
4-4
3. In the table of variables that appears on the display, input values for each variable.
• You can also specify values for Upper and Lower to define the upper and lower limits of
the range of solutions.
• An error occurs if the solution falls outside the range you specify.
4. Select the variable for which you want to solve to obtain the solution.
“Lft” and “Rgt” indicate the left and right sides that are calculated using the solution.*1
*1 Solutions are approximated using Newton’s method. Lft and Rgt values are displayed for
confirmation, because Newton’s method may produce results that are the real solution.
The closer the difference between the Lft and Rgt values is to zero, the lower degree of
error in the result.
Example
An object thrown into the air at initial velocity V takes time T to reach
height H. Use the following formula to solve for initial velocity V when
H = 14 (meters), T = 2 (seconds) and gravitational acceleration is G =
9.8 (m/s2).
H = VT – 1/2 GT2
1 m Equation
2 3(SOLVER)
aM(H)!.(=)ac(V)a/(T)(b/c)a$(G)a/(T)xw
3 bew(H = 14)
aw(V = 0)
cw(T = 2)
j.iw(G = 9.8)
4 Press fff to highlight V = 0, and then press
6(SOLVE).
• The message “Retry” appears on the display when the calculator judges that convergence is
not sufficient for the displayed results.
• A Solve operation will produce a single solution. Use POLY when you want to obtain multiple
solutions for a high-order equation (such as ax2 + bx + c = 0).
4-5
Chapter 5 Graphing
Select the icon in the Main Menu that suits the type of graph you want to draw or the type of table
you want to generate.
• Graph … General function graphing
• Run-Matrix … Manual graphing (pages 5-25 to 5-29)
• Table … Number table generation (pages 5-30 to 5-35)
• Dyna Graph … Dynamic graphing (pages 5-40 to 5-43)
• Recursion … Recursion graphing or number table generation (pages 5-43 to 5-48)
• Conic Graphs … Conic section graphing (pages 5-48 and 5-49)
1. Sample Graphs
5
k Graph Relation List Screen and Graph Color
A graph relation list screen (table relation list screen) like the one shown below appears first
whenever you enter the Graph, Dyna Graph, or Table mode. You can use this screen to
register functions to be used for drawing graphs and creating number tables.
(Example: Graph mode)
Each line of the graph relation list screen is preset with a color, which represents the line color
used when each function is graphed. When you draw a graph, it is drawn using the same color
as the line where its function is registered.
→
Graph relation list screen
Graph screen
5-1
In the case of the Table mode, a number table is created in the same color as the line where
its function is registered.
→
Table relation list screen
•
Table screen
You can change the color used to draw the graph and the number table character color. For
details, see “Changing Graph Properties” (page 5-15).
k How to draw a simple graph (1)
To draw a graph, simply input the applicable function.
1. From the Main Menu, enter the Graph mode.
2. Input the function you want to graph.
Here you would use the V-Window to specify the range and other parameters of the graph.
See page 5-4.
3. Draw the graph.
Example
To graph y = 3x2
1 m Graph
2 dvxw
3 6(DRAW) (or w)
• Press A to return to the screen in step 2 (graph relation list). After drawing a graph, you
can toggle between the graph relation list and graph screen by pressing !6(G⇔T).
5-2
k How to draw a simple graph (2)
You can store up to 20 functions in memory and then select the one you want for graphing.
1. From the Main Menu, enter the Graph mode.
2. Specify the function type and input the function whose graph you want to draw.
You can use the Graph mode to draw a graph for the following types of expressions:
rectangular coordinate expression (Y=f(x)), polar coordinate expression, parametric
function, rectangular coordinate expression (X=f(y)), inequality.
3(TYPE)1(Y=) ... rectangular coordinates (Y=f(x) type)
2(r=) ... polar coordinates
3(Param) ... parametric function
4(X=) ... rectangular coordinates (X=f(y) type)
5(CONVERT)1('Y=) to 5('Y≤)
6(g)1('X=) to 5('X≤) ... changes the function type
6(g)1(Y>) to 4(Y≤) .... Y inequality on left side
6(g)6(g)1(X>) to 4(X≤) .... X inequality on left side
Repeat this step as many times as required to input all of the functions you want.
Next you should specify which of the functions among those that are stored in memory you
want to graph (see page 5-13).
3. Draw the graph.
• You can use the function menu that appears when you press 4(TOOL)1(STYLE) in
step 2 of the above procedure to select one of the following line styles for each graph.
1(
) ... Normal (initial default)
2(
) … Thick (twice the thickness of Normal)
3(
) … Broken (thick broken)
4(
) … Dot (dotted)
5(
) … Thin (one third the thickness of Normal)
• When simultaneously graphing multiple inequalities, you can use the “Ineq Type” setting
on the Setup screen (!m(SET UP)) to specify either of two fill ranges.
1(Intsect) ... Fills areas only where the conditions of
all of the graphed inequalities are satisfied.
5-3
2(Union) .... Fills all areas where the conditions of the
graphed inequalities are satisfied.
This is the initial default.
• Pressing !f(FORMAT) while the graph relation list screen or graph screen displays
a dialog box that you can use to change the graph line style and graph line color. For
details, see “Changing Graph Properties” (page 5-15).
Example
Input the functions shown below and draw their graphs.
Y1 = 2x2 – 3, r2 = 3sin2θ
1 m Graph
2 3(TYPE)1(Y=)cvx-dw
3(TYPE)2(r=)dscvw
3 6(DRAW)
2. Controlling What Appears on a Graph Screen
k V-Window (View Window) Settings
Use the View Window to specify the range of the x- and y-axes, and to set the spacing
between the increments on each axis. You should always set the V-Window parameters you
want to use before graphing.
u To configure V-Window settings
1. From the Main Menu, enter the Graph mode.
2. Press !3(V-WIN) to display the V-Window setting screen.
Rectangular coordinate parameter
Xmin/Xmax … Minimum/maximum x-axis value
Xscale … Spacing of x-axis increments
Xdot … Value that corresponds to one x-axis dot
Ymin/Ymax … Minimum/maximum y-axis value
Yscale … Spacing of y-axis increments
5-4
Polar coordinate parameter
Tθ min/Tθ max ... Minimum/maximum T, θ values
Tθ ptch ... T, θ pitch
3. Press c to move the highlighting and input an appropriate value for each parameter,
pressing w after each.
• {INITIAL}/{TRIG}/{STANDRD} … V-Window {initial settings}/{initial settings using specified
angle unit}/{standard settings}
• {V-MEM}
• {STORE}/{RECALL} … V-Window setting {store}/{recall}
• {SQUARE}
• {Y-BASE}/{X-BASE} … {fix y-axis setting and change x-axis setting}/{fix x-axis setting
and change y-axis setting} so y-axis and x-axis scales are displayed as a 1-to-1
relationship
• {BGV-WIN} … Overwrites current V-Window settings with the V-Window settings saved
in the background image file. This menu item appears only while a graph background
image is open.
After settings are the way you want them, press J or !J(QUIT) to exit the V-Window
setting screen.
• Pressing w without inputting anything while
screen.
5-5
is on the display exits the V-Window setting
u V-Window Setting Precautions
• Inputting zero for Tθ ptch causes an error.
• Any illegal input (out of range value, negative sign without a value, etc.) causes an error.
• When Tθ max is less than Tθ min, Tθ ptch becomes negative.
• You can input expressions (such as 2π) as V-Window parameters.
• When the V-Window setting produces an axis that does not fit on the display, the scale of
the axis is indicated on the edge of the display closest to the origin.
• Changing the V-Window settings clears the graph currently on the display and replaces it
with the new axes only.
• Changing the Xmin or Xmax value causes the Xdot value to be adjusted automatically.
Changing the Xdot value causes the Xmax value to be adjusted automatically.
• A polar coordinate (r =) or parametric graph will appear coarse if the settings you make in
the V-Window cause the Tθ ptch value to be too large, relative to the differential between
the Tθ min and Tθ max settings. If the settings you make cause the Tθ ptch value to be
too small relative to the differential between the Tθ min and Tθ max settings, on the other
hand, the graph will take a very long time to draw.
• The following is the input range for V-Window parameters.
–9.999999999E 97 to 9.999999999E 97
k V-Window Memory
You can store up to six sets of V-Window settings in V-Window memory for recall when you
need them.
u To store V-Window settings
1. From the Main Menu, enter the Graph mode.
2. Press !3(V-WIN) to display the V-Window setting screen, and input the values you
want.
3. Press 4(V-MEM)1(STORE) to display the pop-up window.
4. Press a number key to specify the V-Window memory where you want to save the settings,
and then press w. Pressing bw stores the settings in V-Window Memory 1 (V-Win1).
5-6
u To recall V-Window memory settings
1. From the Main Menu, enter the Graph mode.
2. Press !3(V-WIN) to display the V-Window setting screen.
3. Press 4(V-MEM)2(RECALL) to display the pop-up window.
4. Press a number key to specify the V-Window memory number for the settings you want to
recall, and then press w. Pressing bw recalls the settings in V-Window Memory 1
(V-Win1).
k Specifying the Graph Range
You can define a range (start point, end point) for a function before graphing it.
1. From the Main Menu, enter the Graph mode.
2. Configure V-Window settings.
3. Specify the function type and input the function. The following is the syntax for function
input.
Function ,!+( [ ) Start Point , End Point !-( ] )
4. Draw the graph.
Example
Graph y = x2 + 3x – 2 within the range – 2 < x < 4.
Use the following V-Window settings.
Xmin = –3,
Xmax = 5,
Xscale = 1
Ymin = –10,
Ymax = 30,
Yscale = 5
1 m Graph
2 !3(V-WIN)-dwfwbwc
-bawdawfwJ
3 3(TYPE)1(Y=)vx+dv-c,
!+( [ )-c,e!-( ] )w
4 6(DRAW)
• You can specify a range when graphing rectangular expressions, polar expressions,
parametric functions, and inequalities.
5-7
k Zoom
This function lets you enlarge and reduce the graph on the screen.
1. Draw the graph.
2. Specify the zoom type.
!2(ZOOM)1(BOX) ... Box zoom
Draw a box around a display area, and that area is enlarged to
fill the entire screen.
2(FACTOR) ... Factor zoom
Specifies the x-axis and y-axis zoom factors for factor zoom.
3(IN)/4(OUT) ... Factor zoom
The graph is enlarged or reduced in accordance with the factor
you specify, centered on the current pointer location.
5(AUTO) ... Auto zoom
V-Window y-axis settings are automatically adjusted so the
graph fills the screen along the y-axis.
6(g)1(ORIGINAL) ... Original size
Returns the graph to its original size following a zoom operation.
6(g)2(SQUARE) ... Graph correction
V-Window x-axis values are corrected so they are identical to
the y-axis values.
6(g)3(ROUND) ... Coordinate rounding
Rounds the coordinate values at the current pointer location.
6(g)4(INTEGER) ... Integer
Each dot is given a width of 1, which makes coordinate values
integers.
6(g)5(PREVIOUS) ... Previous
V-Window parameters are returned to what they were prior to
the last zoom operation.
Box zoom range specification
3. Use the cursor keys to move the pointer ( ) in the center of the screen to the location
where you want one corner of the box to be, and then press w.
4. Use the cursor keys to move the pointer. This causes a box to appear on the screen. Move
the cursor until the area you want to enlarge is enclosed in the box, and then press w to
enlarge it.
5-8
Example
Graph y = (x + 5)(x + 4)(x + 3), and then perform a box zoom.
Use the following V-Window settings.
Xmin = –8,
Xmax = 8,
Xscale = 2
Ymin = –4,
Ymax = 2,
Yscale = 1
1 m Graph
!3(V-WIN)-iwiwcwc
-ewcwbwJ
3(TYPE)1(Y=) (v+f)(v+e)
(v+d)w
6(DRAW)
2 !2(ZOOM)1(BOX)
3 d~dw
4 d~d,f~fw
• You must specify two different points for box zoom, and the two points cannot be on a
straight line vertically or horizontally from each other.
k Zoom In/Zoom Out Using Key Operations
You can use the + and - keys while the graph screen is on the display to zoom in and out
on the center of the graph screen. The zoom operations are performed in accordance with the
factor value specified with!2(ZOOM)2(FACTOR).
k Using Pan to Shift the Graph Screen
You can use pan to grab a location on the graph screen and drag the screen image up, down,
left, and right. The pan operation can be used in the Graph, Conic Graphs, Table, and
Recursion modes. Note, however, that it cannot be used while the “Dual Screen” setting on
the Setup screen is “G+G” or “GtoT”.
5-9
u To pan the screen
1. While the graph screen is on the display, press K2(PAN).
• This enters the Pan mode and displays a pointer ( ) in the center of the screen.
2. Move the pointer to the location on the screen you want to grab and then press w.
• This causes the pointer to change from
to
.
3. Use the cursor keys to shift the screen in the direction you want.
• In the Pan mode, each press of w toggles the shape of the pointer between and .
While the pointer is on the display, you can use the cursor keys to move it to another
pointer is on the display will
location on the screen. Pressing the cursor keys while the
shift (pan) the screen contents.
4. To exit the Pan mode, press J.
k Displaying a Graph Background Image
You can configure the calculator so a particular image is always displayed as the graph
background image. Use the “Background” setting on the Setup screen to specify the
background image. The following describes the types of files that can be used as the
background image.
• A file saved using the procedure under “Saving Graph Screen Contents as an Image (g3p
File)” (page 5-21)
• A file described under “Managing Picture Plot Files” (page 15-5)
u To select the graph background image
1. From the Main Menu, enter the Graph mode.
2. Press !m(SET UP) to display the Setup screen.
3. Use f and c to move the highlighting to “Background” and then press 2(PICT n),
3(OPEN), or 1(None).
• If you do not want to display a background image on the graph screen, press 1(None)
and then advance to step 6.
• To display a list of g3p files stored in the PICT folder in storage memory, press
2(PICT n).
• To display a list of g3p files stored in the PICT folder in the storage memory root directory,
press 3(OPEN). In this case, use f and c if required to move the highlighting to the
folder that contains the image you want to use and then press 1(OPEN).
4. Use f and c to move the highlighting to the file you want to use and then press
1(OPEN).
5-10
5. When the “V-Window values for specified background will be loaded. OK?” confirmation
dialog box appears, press 1(YES) to apply the V-Window settings saved with the g3p file
or 6(NO) to retain the current V-Window settings.
• Pressing 1(YES) overwrites all V-Window setting values except Tmin, Tmax, and
Tptch with the values stored with the g3p file.
6. To exit the Setup screen, press J.
u To overwrite current V-Window settings with the settings saved with the
background image
1. In the Graph mode, press !3(V-WIN) to display the V-Window screen.
2. Press 6(BGV-WIN).
• This will overwrite all V-Window setting values except Tmin, Tmax, and Tptch with the
values stored with the background file.
3. To exit the V-Window screen, press J.
u To update the background image V-Window settings with current V-Window
settings
1. While the graph screen is on the display, press K4(BGV-WIN).
2. Press 1(SAVE).
• This will cause the “OK to refresh background V-Window?” confirmation message to
appear.
3. Press 1(YES) to update the V-Window settings of the background file, or 6(NO) to
cancel updating.
u To save the background image to a file with current V-Window settings
1. While the graph screen is on the display, press K4(BGV-WIN).
2. Press2(SAVE • AS).
• This will cause the message “OK to refresh background V-Window?” to appear. To clear
this message and cancel this operation, press 6(NO).
3. Press 1(YES).
4. Specify the folder you want.
• Highlight ROOT to save the file to the root directory.
• To save the file in a specific folder, use f and c to move the highlighting to the desired
folder and then press 1(OPEN).
5. Press 1(SAVE • AS).
5-11
6. On the File Name dialog box that appears, enter a name up to eight characters long and
then press w.
• This saves the background image under the name you specify. It also changes the image
specified for the “Background” item on the Setup screen to the newly saved background
image.
k Adjusting the Lightness (Fade I/O) of the Background Image
You can adjust the lightness of the graph screen background image specified by the
“Background” setting on the Setup screen within a range of 0% (as-is) to 100% (all white).
A higher setting value makes the image lighter, and a setting of 100% displays an all white
background.
→
You can use this setting to adjust the background image to a level that makes the graph easier
to see.
• Note that the lightness setting can be adjusted only when the background image is a 16-bit
image data.
• After you adjust the lightness level, the setting is stored with the background image.
u To adjust the lightness (Fade I/O) of the background image
1. While the graph screen is on the display, press K3(FadeI/O). If you are in the Dyna
Graph mode, press K1(FadeI/O).
• This causes a slider for adjusting image lightness to appear on the display.
2. Use d and e to adjust the lightness value.
• Each press of d or e changes the setting value in steps of 5%.
• You can also input values directly, if you want. To specify a lightness value of 20%, for
example, press caw.
3. After the setting is the way you want, press J.
5-12
3. Drawing a Graph
You can store up to 20 functions in memory. Functions in memory can be edited, recalled, and
graphed.
k Specifying the Graph Type
Before you can store a graph function in memory, you must first specify its graph type.
1. While the graph relation list is on the display, press 3(TYPE) to display the graph type
menu, which contains the following items.
• {Y=}/{r=}/{Param}/{X=} ... {rectangular coordinate (Y=f(x) type)}/{polar coordinate}/
{parametric}/{rectangular coordinate (X=f(y) type)} graph
• {Y>}/{Y<}/{Y≥}/{Y≤} ... {Y>f (x)}/{Y}/{X<}/{X≥}/{X≤} ... {X>f(y)}/{X}/{'Y<}/{'Y≥}/{'Y≤}/{'X=}/{'X>}/{'X<}/{'X≥}/{'X≤}
... {changes the function type of the selected expression}
2. Press the function key that corresponds to the graph type you want to specify.
k Storing Graph Functions
u To store a rectangular coordinate function (Y=)
Example
To store the following expression in memory area Y1: y = 2x2 – 5
3(TYPE)1(Y=) (Specifies rectangular coordinate expression.)
cvx-f(Inputs expression.)
w (Stores expression.)
• A function cannot be stored into a memory area that already contains a function of a different
type from the one you are trying to store. Select a memory area that contains a function that
is the same type as the one you are storing, or delete the function in the memory area to
which you are trying to store.
5-13
u To store a parametric function
Example
To store the following expressions in memory areas Xt3 and Yt3:
x = 3 sinT
y = 3 cosT
3(TYPE)3(Param) (Specifies parametric expression.)
dsvw(Inputs and stores x expression.)
dcvw(Inputs and stores y expression.)
u To create a composite function
Example
To use relations in Y1 and Y2 to create composite functions for Y3
and Y4
Y1 = (X + 1), Y2 = X2 + 3
Assign Y1°Y2 to Y3, and Y2°Y1 to Y4.
(Y1°Y2 = ((x2 + 3) +1) = (x2 + 4) Y2°Y1 = ( (X + 1))2 + 3 = X + 4 (X > −1))
Input relations into Y3 and Y4.
3(TYPE)1(Y=)J4(GRAPH)
1(Y)b(1(Y)c)w
J4(GRAPH)1(Y)c
(1(Y)b)w
• A composite function can consist of up to five functions.
5-14
u To assign values to the coefficients and variables of a graph function
Example
To assign the values −1, 0, and 1 to variable A in Y = AX2−1, and draw a
graph for each value
3(TYPE)1(Y=)
av(A)vx-bw
J4(GRAPH)1(Y)b(av(A)
!.(=)-b)w
J4(GRAPH)1(Y)b(av(A)
!.(=)a)w
J4(GRAPH)1(Y)b(av(A)
!.(=)b)w
ffff1(SELECT)
6(DRAW)
The above screens are produced using the Trace function.
See “Function Analysis” (page 5-52) for more information.
k Changing Graph Properties
u To change graph properties from the graph relation list screen
1. On the graph relation list screen, use f and c to highlight the relation whose graph
properties you want to change.
2. Press !f(FORMAT) to display the format dialog box.
5-15
3. Use f and c to move the highlighting to “Line Style”
and then press w.
4. On the list of line styles that appears, use f and c to move the highlighting to the
desired style and then press w.
• You also can select an option by pressing the number key that corresponds to the number
to the left of the desired option.
5. Use f and c to move the highlighting to “Line Color”
and then press w.
6. On the list of colors that appears, use f and c to move the highlighting to the desired
color and then press w.
• You also can select an option by pressing the number key that corresponds to the number
to the left of the desired option.
7. After the setting is the way you want, press J.
u To change graph properties from the graph screen
1. While the graph screen is on the display, press !f(FORMAT).
• If there are multiple graphs on the graph screen, one of them will start flashing. The
flashing graph is the one that is currently selected.
• If there are multiple graphs on the graph screen, perform step 2, below. If there is only one
graph on the screen, skip step 2 and go directly to step 3.
2. Use f and c to move the flashing to the graph whose properties you want to change
and then press w.
3. Use the format dialog box that appears to configure the Line Style and Line Color as you like.
• For the remainder of this procedure, perform the steps from step 3 under “To change
graph properties from the graph relation list screen”.
• Pressing J will redraw a graph in accordance with your changes.
5-16
u To change the line style of a graph function
1. On the graph relation list screen, use f and c to highlight the relation whose line style
you want to change.
2. Press 4(TOOL)1(STYLE).
3. Select the line style.
Example
To change the line style of y = 2x2 – 3, which is stored in area Y1, to
“Broken”
4(TOOL)1(STYLE)3(
) (Selects “Broken”.)
k Editing and Deleting Functions
u To edit a function in memory
Example
To change the expression in memory area Y1 from y = 2x2 – 5 to
y = 2 x2 – 3
e (Displays cursor.)
eeeeeDd(Changes contents.)
w(Stores new graph function.)
u To change the type of a function *1
1. While the graph relation list is on the display, press f or c to move the highlighting to
the area that contains the function whose type you want to change.
2. Press 3(TYPE)5(CONVERT).
3. Select the function type you want to change to.
Example
To change the function in memory area Y1 from y = 2x2 – 3 to
y < 2 x2 – 3
3(TYPE)5(CONVERT)3('Y<) (Changes the function type to “Y<”.)
*1 The function type can be changed for rectangular coordinate functions and inequalities only.
5-17
u To delete a function
1. While the graph relation list is on the display, press f or c to move the highlighting to
the area that contains the function you want to delete.
2. Press 2(DELETE) or D.
3. Press 1(Yes) to delete the function or 6(No) to abort the procedure without deleting
anything.
• Using the above procedure to delete one line of a parametric function (such as Xt2) also
will delete the applicable paired line (Yt2, in the case of Xt2).
k Selecting Functions for Graphing
u To specify the draw/non-draw status of a graph
1. On the graph relation list, use f and c to highlight the relation you do not want to graph.
2. Press 1(SELECT).
• Each press of 1(SELECT) toggles graphing on and off.
3. Press 6(DRAW).
Example
To select the following functions for drawing:
Y1 = 2x2 – 5, r2 = 5 sin3θ
Use the following V-Window settings.
Xmin = –5,
Xmax = 5,
Xscale = 1
Ymin = –5,
Ymax = 5,
Yscale = 1
Tθ min = 0,
Tθ max = π ,
Tθ ptch = 2π / 60
cf (Select a memory area that contains a
function for which you want to specify non-draw.)
1(SELECT) (Specifies non-draw.)
6(DRAW) or w (Draws the graphs.)
• You can use the Setup screen settings to alter the appearance of the graph screen as shown
below.
• Grid: On (Axes: On, Label: Off)
This setting causes dots to appear at the grid intersects on
the display.
Changing the V-Window Xscale or Yscale settings to 0
while “On” is specified for the Grid setting will cause the
dots to disappear from the display.
5-18
• Grid: Line (Axes: On, Label: Off)
This setting causes scale lines to be displayed for the xaxis and y-axis.
Changing the V-Window Xscale setting to 0 while “Line”
is specified for the Grid setting will cause the horizontal
lines to disappear from the display. Changing the VWindow Yscale setting to 0 will cause the vertical lines to
disappear.
• Axes: Off (Label: Off, Grid: Off)
This setting clears the axis lines from the display.
• Axes: Scale (Label: Off, Grid: Off)
This setting causes scale lines to be displayed for the xaxis and y-axis.
• Label: On (Axes: On, Grid: Off)
This setting display x-axis, y-axis, and origin (O) labels.
• Even if the Grid setting is “On” or “Line”, grid lines will not be displayed if the V-Window
settings are configured in a way that the grids are too close to each other.
k Graph Memory
Graph memory lets you store up to 20 sets of graph function data and recall it later when you
need it.
A single save operation saves the following data in graph memory.
• All graph functions in the currently displayed graph relation list (up to 20)
• Graph types
• Function graph line style and color information
• Draw/non-draw status
• V-Window settings (1 set)
5-19
u To store graph functions in graph memory
1. Press 4(TOOL)2(GPH-MEM)1(STORE) to display the pop-up window.
2. Press a number key to specify the graph memory where you want to save the graph
function, and then press w. Pressing bw stores the graph function to Graph Memory 1
(G-Mem1).
• There are 20 graph memories numbered G-Mem1 to G-Mem20.
• Storing a function in a memory area that already contains a function replaces the existing
function with the new one.
• If the data exceeds the calculator’s remaining memory capacity, an error occurs.
u To recall a graph function
1. Press 4(TOOL)2(GPH-MEM)2(RECALL) to display the pop-up window.
2. Press a number key to specify the graph memory for the function you want to recall, and
then press w. Pressing bw recalls the graph function in Graph Memory 1 (G-Mem1).
• Recalling data from graph memory causes any data currently on the graph relation list to
be deleted.
4. Saving and Recalling Graph Screen Contents
You can save the contents of the graph screen to a file. The format of the file is g3p, which
is a proprietary format unique to this calculator. Performing the save operation in this section
saves the following information.
• A bitmap image of the graph
• A bitmap image of the graph background (including axes, grid, axes labels, background
image)
- The background image includes the lightness setting, so it is saved as it appears on the
graph screen.
- The function menu and status are not included in the background image.
• V-Window settings (excluding Tmin, Tmax, Tptch values)
Saved images can be recalled to a graph screen and overlaid onto another graph, or recalled
from and used in another application.
5-20
k Saving Graph Screen Contents as an Image (g3p File)
There are two methods that can be used to save a g3p file.
• Saving to Picture Memory
This method lets you assign a number from 1 to 20 to an image when you save it. It stores
the image in the storage memory’s PICT folder as a file with a name from Pict01.g3p through
Pict20.g3p.
• Saving under an Assigned Name
This method saves the image in the folder you want in storage memory. You can assign a
file name up to eight characters long.
Important!
• A dual graph screen or any other type of graph that uses a split screen cannot be saved in
picture memory.
u To save a graph screen image to Picture Memory
1. While the graph screen is on the display, press K1(PICTURE)1(STORE)1(1-20).
2. On the Store In Picture Memory screen that appears, enter a value from 1 to 20 and then
press w.
• There are 20 picture memories numbered Pict 1 to Pict 20.
• Storing an image in a memory area that already contains an image replaces the existing
image with the new one.
u To store a graph screen image under a file name
1. While the graph screen is on the display, press K1(PICTURE)1(STORE)
2(SAVE • AS).
• This displays a folder selection screen.
2. Select the folder where you want to save the image.
• To store the image in the root directory, highlight
“ROOT”.
5-21
• To store the image in a folder, use f and c to move the highlighting to the desired
folder and then press 1(OPEN).
→
3. Press 1(SAVE • AS).
4. On the File Name dialog box that appears, enter a name up to eight characters long and
then press w.
k Recalling an Image (g3p File) to a Graph Screen
There are two methods that can be used to recall an image (g3p file) to a graph screen.
• Recalling an image from picture memory (Pict01.g3p to Pict20.g3p)
• Recalling an image from a folder in storage memory
Note
• Recalling an image causes it to be placed immediately behind the graph (above the current
background image) on the graph screen.
• To clear a recalled image, display the graph screen and then press !4(SKETCH)
1(Cls).
u To recall an image stored in Picture Memory
1. While the graph screen is on the display, press K1(PICTURE)2(RECALL)1(1-20).
2. On the Recall From Picture Memory screen that appears, enter a value from 1 to 20 and
then press w.
u To recall a g3p file stored in Storage Memory
1. While the graph screen is on the display, press K1(PICTURE)2(RECALL)
2(OPEN).
• Use f and c if required to move the highlighting to the folder that contains the image
file you want to recall and then press 1(OPEN).
2. Use f and c to move the highlighting to the file you want to recall and then press
1(OPEN).
5-22
5. Drawing Two Graphs on the Same Screen
k Copying the Graph to the Sub-screen
Dual Graph lets you split the screen into two parts. Then you can graph two different functions
in each for comparison, or draw a normal size graph on one side and its enlarged version on
the other side. This makes Dual Graph a powerful graph analysis tool.
With Dual Graph, the left side of the screen is called the “main screen”, while the right side is
called the “sub-screen”.
u Main Screen
The graph in the main screen is actually drawn from a function.
u Sub-screen
The graph on the sub-screen is produced by copying or zooming the main screen graph.
You can even make different V-Window settings for the sub-screen and main screen.
u To copy the graph to the sub-screen
1. From the Main Menu, enter the Graph mode.
2. On the Setup screen, select “G + G” for “Dual Screen”.
3. Configure V-Window settings for the main screen.
Press 6(RIGHT) to display the sub-graph settings screen. Pressing 6(LEFT) returns to
the main screen setting screen.
4. Store the function, and draw the graph in the main screen.
5. Perform the Dual Graph operation you want.
K1(COPY) ... Duplicates the main screen graph in the sub-screen
K2(SWAP) ... Swaps the main screen contents and sub-screen contents
• Indicators appear to the right of the formulas in the graph relation list to tell where graphs are
drawn with Dual Graph.
Indicates sub-screen graph (on right side of display)
Indicates graph drawn on both sides of display
Performing a draw operation with the function marked “ R ” in the above example screen
causes the graph to be drawn on the right side on the display. The function marked “ B ” is
drawn on both sides of the graph.
5-23
Pressing 1(SELECT) while one of the functions marked “ R ” or “ B ” is highlighted would
causes its “ R ” or “ B ” indicator to be cleared. A function without an indicator is drawn as
the main screen graph (on the left side of the display).
• The graph properties operation can be performed only for the graph that is on the left side
of the Dual Graph graph screen.
• If you change the graph properties of an expression marked with “ B ” on the graph
relation list screen and then draw the graph, the changes will be applied to both graphs.
• You cannot change the graph properties of an expression marked with “ R ” on the graph
relation list screen.
• For details about how to change graph properties, see “Changing Graph Properties” (page
5-15).
Example
Graph y = x(x + 1)(x – 1) in the main screen and sub-screen.
Use the following V-Window settings.
(Main Screen) Xmin = –2,
Xmax = 2,
Xscale = 0.5
Ymin = –2,
Ymax = 2,
Yscale = 1
Xmin = –4,
Xmax = 4,
Xscale = 1
Ymin = –3,
Ymax = 3,
Yscale = 1
(Sub-screen)
1 m Graph
2 !m(SET UP)cccc1(G + G)J
3 !3(V-WIN) -cwcwa.fwc
-cwcwbw
6(RIGHT) -ewewbwc
-dwdwbwJ
4 3(TYPE)1(Y=)v(v+b)(
v-b)w
6(DRAW)
5 K1(COPY)
• Pressing A while a graph is on the display will return to the screen in step 4.
5-24
6. Manual Graphing
k Rectangular Coordinate Graph
Inputting the Graph command in the Run-Matrix mode enables drawing of rectangular
coordinate graphs.
1. From the Main Menu, enter the Run-Matrix mode.
2. On the Setup screen, change “Input/Output” setting to “Linear”.
3. Configure V-Window settings.
4. Input the commands for drawing the rectangular coordinate graph.
5. Input the function.
Example
Graph y = 2x2 + 3x – 4.
Use the following V-Window settings.
Xmin = –5,
Xmax = 5,
Xscale = 2
Ymin = –10,
Ymax = 10,
Yscale = 5
1 m Run-Matrix
2 !m(SET UP)2(Line)J
3 !3(V-WIN)-fwfwcwc
-bawbawfwJ
4 !4(SKETCH)1(Cls)w
5(GRAPH)1(Y=)
5 cvx+dv-ew
• Certain functions can be graphed easily using built-in function graphs.
• You can draw graphs of the following built-in scientific functions.
Rectangular Coordinate Graph
• sin x
• cos–1 x
• tanh x
•'
x
• 10x
d (x)
•
dx
• cos x
• tan–1 x
• sinh–1 x
• x2
• ex
d2
• 2 (x)
dx
• tan x
• sinh x
• cosh–1 x
• log x
• x–1
• ∫(x)dx
Polar Coordinate Graph
• sin–1 x
• cosh x
• tanh–1 x
• lnx
• 3'
x
• sin θ
• cos–1 θ
• tanh θ
•'
θ
• 10θ
• cos θ
• tan–1 θ
• sinh–1 θ
• θ2
• eθ
• tan θ
• sinh θ
• cosh–1 θ
• log θ
• θ–1
- Input for x and θ variables is not required for a built-in function.
- When inputting a built-in function, other operators or values cannot be input.
5-25
• sin–1 θ
• cosh θ
• tanh–1 θ
• lnθ
• 3'
θ
k Drawing Multiple Graphs on the Same Screen (Overwrite Graph)
Use the following procedure to assign various values to a variable contained in an expression
and overwrite the resulting graphs on the screen.
1. From the Main Menu, enter the Graph mode.
2. On the Setup screen, change the “Dual Screen” setting to “Off”.
3. Configure V-Window settings.
4. Specify the function type and input the function. The following is the syntax for function
input.
Expression containing one variable ,!+( [ ) variable !.(=) value , value ,
... , value !-( ] )
5. Draw the graph.
Example
To graph y = Ax2 – 3 as the value of A changes in the sequence 3, 1, –1
Use the following V-Window settings.
Xmin = –5,
Xmax = 5,
Xscale = 1
Ymin = –10,
Ymax = 10,
Yscale = 2
1 m Graph
2 !m(SET UP)cccc3(Off)J
3 !3(V-WIN)-fwfwbwc
-bawbawcwJ
4 3(TYPE)1(Y=)av(A)vx-d,
!+( [ )av(A)!.(=)d,b,-b
!-( ] )w
5 6(DRAW)
• When multiple graphs are drawn simultaneously with the above operation, they are drawn
using five different colors in the following sequence: blue, red, green, magenta, black. The
first graph is drawn using the color specified for an expression that is registered on the graph
relation list screen, followed by the next color in the above sequence.
Due to display readability considerations, if cyan or yellow is specified for the expression, the
default color for the graph relation list screen line where the expression is registered will be
used instead.
5-26
• You cannot change the line color or line style for graphs drawn using the above operation.
• The value of only one of the variables in the expression can change.
• Any of the following cannot be used for the variable name: X, Y, r, θ, T.
• You cannot assign a variable to the variable inside the function.
• When Simul Graph is turned on, all of the graphs for the specified variable values are drawn
simultaneously.
• Overwrite can be used when graphing rectangular expressions, polar expressions,
parametric functions, and inequalities.
k Using a List to Simultaneously Draw Multiple Graphs (List Graph)
You can use a list to simultaneously draw multiple graphs by substituting list data for a
coefficient within an expression registered on the graph relation list screen.
Example: List 1 = {1,2,3}, List 2 = {4,5,6}
• Registering and graphing the expression Y1 = (List 1)X2 will simultaneously draw graphs for
the following three expressions:
Y = X2, Y = 2X2, Y = 3X2
• Registering and graphing the expression Y1 = (List 1)X2 − (List 2) will simultaneously draw
graphs for the following three expressions:
Y = X2 − 4, Y = 2X2 − 5, Y = 3X2 − 6
Important!
If you want to use multiple lists within a registered expression, all of the lists must have the
same number of elements. A Dimension ERROR will occur if a list that does not have the
same number of elements as the other lists is included.
u To use a list to simultaneously draw multiple graphs
1. Use the List Editor (Chapter 3) to register the list(s) you want to use.
2. From the Main Menu, enter the Graph mode.
3. On the Setup screen, change the “Dual Screen” setting to “Off”.
4. Configure V-Window settings.
5. Register an expression with a coefficient that uses the list(s) data.
6. Draw the graph.
5-27
Example
Register {3, 1, −1} in List 1, and then graph y = (List 1)x2 − 3.
Use the following V-Window settings.
Xmin = –5,
Xmax = 5,
Xscale = 1
Ymin = –10,
Ymax = 10,
Yscale = 2
1 m Statistics
dwbw-bw
2 m Graph
3 !m(SET UP)cccc3(Off)J
4 !3(V-WIN)-fwfwbwc-ba
wbawcwJ
5 3(TYPE)1(Y=)!b(List)bvx-dw
6 6(DRAW)
• When multiple graphs are drawn simultaneously with the above operation, they are drawn
using five different colors in the following sequence: blue, red, green, magenta, black. The
first graph is drawn using the color specified for an expression that is registered on the
graph relation list screen, followed by the next color in the above sequence.
Due to display readability considerations, if cyan or yellow is specified for the expression,
the default color for the graph relation list screen line where the expression is registered
will be used instead.
• You cannot change the line color or line style for graphs drawn using the above operation.
• When Simul Graph is turned on, all of the graphs are drawn simultaneously.
k Using Copy and Paste to Graph a Function
You can graph a function by copying it to the clipboard, and then pasting it into the graph
screen.
There are two types of functions you can paste into the graph screen.
Type 1 (Y= expression)
A function with the Y variable to the left of the equal sign is graphed as Y=
expression.
Example: To paste Y=X and graph it
• Any spaces to the left of Y are ignored.
Type 2 (expression)
Pasting this type of expression graphs Y= expression.
Example: To paste X and graph Y=X
• Any spaces to the left of the expression are ignored.
5-28
u To graph a function using copy and paste
1. Copy the function you want to graph to the clipboard.
2. From the Main Menu, enter the Graph mode.
3. On the Setup screen, change the “Dual Screen” setting to “Off”.
4. Configure V-Window settings.
5. Draw the graph.
6. Paste the expression.
Example
While the graph of y = 2x2 + 3x – 4 is currently displayed, to paste the
previously copied function Y=X from the clipboard
Use the following V-Window settings.
Xmin = –5,
Xmax = 5,
Xscale = 2
Ymin = –10,
Ymax = 10,
Yscale = 5
1 m Run-Matrix
a-(Y)!.(=)v
!i(CLIP)ddd1(COPY)
2 mGraph
3 !m(SET UP)cccc3(Off)J
4 !3(V-WIN)-fwfwcwc
-bawbawfwJ
5 3(TYPE)1(Y=)cvx+dv-ew
6(DRAW)
6 !j(PASTE)
• A graph drawn as the result of a paste operation is drawn with blue line color and normal line
style. You can change the line color and line style on the graph screen only. For details, see
“Changing Graph Properties” (page 5-15).
• Paste is supported only when “Off” is selected for the “Dual Screen” setting on the Setup
screen.
• Though there is no limit on the number of graphs you can draw by pasting a function, the
total number of graphs supported by trace and other functions is 30 (number of graphs
drawn using expression number 1 to 20, plus graphs drawn using pasted functions).
• For the graph of a pasted function, the graph expression that appears when using trace or
other functions is displayed in the format: Y= expression.
• Re-executing a draw without clearing graph screen memory will redraw all the graphs,
including those produced by pasting functions.
5-29
7. Using Tables
From the Main Menu, enter the Table mode.
k Storing a Function and Generating a Number Table
u To store a function
Example
To store the function y = 3x2 – 2 in memory area Y1
Use f and c to move the highlighting in the table relation list to the memory area where
you want to store the function. Next, input the function and press w to store it.
u Variable Specifications
There are two methods you can use to specify value for the variable x when generating a
numeric table.
• Table range method
With this method, you specify the conditions for the change in value of the variable.
• List
With this method, the data in the list you specify is substituted for the x-variable to
generate a number table.
u To generate a table using a table range
Example
To generate a table as the value of variable x changes from –3 to 3, in
increments of 1
m Table
5(SET)
-dwdwbw
The numeric table range defines the conditions under which the value of variable x changes
during function calculation.
Start ............ Variable x start value
End ............. Variable x end value
Step ............ Variable x value change (interval)
After specifying the table range, press J to return to the table relation list.
5-30
u To generate a table using a list
1. While the table relation list is on the screen, display the Setup screen.
2. Highlight “Variable” and then press 2(LIST) to display the pop-up window.
3. Select the list whose values you want to assign for the x-variable.
• To select List 6, for example, press gw. This causes the setting of the Variable
item of the Setup screen to change to List 6.
4. After specifying the list you want to use, press J to return to the previous screen.
u To change the number table character color from the table relation list
screen
The procedure for changing the number table character color from the table relation list screen
is identical to the procedure for changing the graph line color from the graph relation list
screen.
For details, see “To change graph properties from the graph relation list screen” (page 5-15).
u Generating a Table
Example
To generate a table of values for the functions stored in memory areas
Y1 and Y3 of the table relation list
Use f and c to move the highlighting to the
function you want to select for table generation and
press 1(SELECT) to select it.
The “=” sign of selected functions is highlighted on
the screen. To deselect a function, move the cursor
to it and press 1(SELECT) again.
Press 6(TABLE) to generate a number table using
the functions you selected. The value of variable x
changes according to the range or the contents
of the list you specified.
The example screen shown here shows the results based
on the contents of List 6 (–3, –2, –1, 0, 1, 2, 3).
Each cell can contain up to six digits, including negative sign.
5-31
u To generate a differential number table
Changing the setting of Setup screen’s “Derivative” item to “On” causes a number table that
includes the derivative to be displayed whenever you generate a number table.
Locating the cursor at a differential
coefficient displays “dY/dX” in the top line,
which indicates differential.
• An error occurs if a graph for which a range is specified
or an overwrite graph is included among the graph
expressions.
u Specifying the Function Type
You can specify a function as being one of three types.
• Rectangular coordinate (Y=)
• Polar coordinate (r=)
• Parametric (Param)
1. Press 3(TYPE) while the relation list is on the screen.
2. Press the number key that corresponds to the function type you want to specify.
• The number table is generated only for the function type specified on the relation list (Table
Func). You cannot generate a number table for a mixture of different function types.
k Editing Tables
You can use the table menu to perform any of the following operations once you generate a
table.
• Change the values of variable x
• Edit (delete, insert, and append) rows
• Delete a table
• Draw a connect type graph
• Draw a plot type graph
• {FORMULA} ... {return to table relation list}
• {DELETE} ... {delete table}
• {ROW}
• {DELETE}/{INSERT}/{ADD} ... {delete}/{insert}/{add} row
• {EDIT} ... {change the values of variable x}
• {GPH-CON}/{GPH-PLT} ... {connected type}/{draw plot type} graph draw
• If you try to replace a value with an illegal operation (such as division by zero), an error
occurs and the original value remains unchanged.
• You cannot directly change any values in the other (non-x) columns of the table.
5-32
k Copying a Table Column to a List
A simple operation lets you copy the contents of a numeric table column into a list.
Use d and e to move the cursor to the column you want to copy. The cursor can be in any
row.
u To copy a table to a list
Example
To copy the contents of Column x into List 1
K1(LISTMEM)
Input the number of the list you want to copy and then press w.
bw
• The color of the text in the list where you perform the paste operation will be black.
k Drawing a Graph from a Number Table
Use the following procedure to generate a number table and then draw a graph based on the
values in the table.
1. From the Main Menu, enter the Table mode.
2. Configure V-Window settings.
3. Store the functions.
4. Specify the table range.
5. Generate the table.
6. Select the graph type and draw it.
5(GPH-CON) ... line graph
6(GPH-PLT) ... plot type graph
• After drawing the graph, pressing !6(G⇔T) or A returns to the number table screen.
5-33
Example
Store the two functions below, generate a number table, and then draw
a line graph. Specify a range of –3 to 3, and an increment of 1.
Y1 = 3x2 – 2, Y2 = x2
Use the following V-Window settings.
Xmin = 0,
Xmax = 6,
Xscale = 1
Ymin = –2,
Ymax = 10,
Yscale = 2
1 m Table
2 !3(V-WIN)awgwbwc
-cwbawcwJ
3 3(TYPE)1(Y=)dvx-cw
vxw
4 5(SET)-dwdwbwJ
5 6(TABLE)
6 5(GPH-CON)
• You can use Trace, Zoom, or Sketch after drawing a graph.
• You can use the graph screen to change the properties of a graph after you draw using a
number table. For details, see “To change graph properties from the graph screen” (page
5-16).
k Simultaneously Displaying a Number Table and Graph
Specifying “T+G” for “Dual Screen” on the Setup screen makes it possible to display a number
table and graph at the same time.
1. From the Main Menu, enter the Table mode.
2. Configure V-Window settings.
3. On the Setup screen, select “T+G” for “Dual Screen”.
4. Input the function.
5. Specify the table range.
6. The number table is displayed in the sub-screen on the right.
7. Specify the graph type and draw the graph.
5(GPH-CON) ... line graph
6(GPH-PLT) ... plot type graph
5-34
Example
Store the function Y1 = 3x2 – 2 and simultaneously display its number
table and line graph. Use a table range of –3 to 3 with an increment of 1.
Use the following V-Window settings.
Xmin = 0,
Xmax = 6,
Xscale = 1
Ymin = –2,
Ymax = 10,
Yscale = 2
1 m Table
2 !3(V-WIN)awgwbwc
-cwbawcwJ
3 !m(SET UP)ccc1(T+G)J
4 3(TYPE)1(Y=)dvx-cw
5 5(SET)
-dwdwbwJ
6 6(TABLE)
7 5(GPH-CON)
• The Setup screen’s “Dual Screen” setting is applied in the Table mode and the Recursion
mode.
• You can make the number table active by pressing K1(CHANGE) or A.
5-35
8. Modifying a Graph
A Modify function lets you modify the value of a variable in a graph expression (for example,
the value of A in Y = AX2) from the graph screen and view how the change affects the graph.
k Modify Function Overview
The Modify function can be used in the Graph mode and Conic Graphs mode. To execute
the Modify function in the Graph mode, display the graph relation list screen and press
5(MODIFY). In the Conic Graphs mode, display the coefficients input screen and press
1(MODIFY).
The following shows an example of the graph screen while the Modify function is running.
Graph expression
Graph
Graph expression variables and
their current values
Step value
• The graph expression variables and their current values, and a step value are displayed in
the lower left corner of the screen while the Modify function is running. The variable (or step
value) that you can modify is displayed in magenta.
• Use d and e to modify the value of the magenta colored variable. Each press of d or
e changes the magenta value by the amount specified by the step value.
Important!
• You can use the Modify function to modify only one graph expression, and the graph
expression being modified can contain at least one and no more than five variables. If these
conditions are not satisfied, attempting to execute the Modify function will cause an error.
When there are multiple expressions graphed and only one of them includes variables, you
can execute the Modify function to simultaneously graph the expression that contains the
variables and the expressions that do not contain any variables.
• Note that the Modify function cannot be executed in the case when there is more than one
expression containing variables.
5-36
k Modify Function Operations
u To modify a graph in the Graph mode
1. From the Main Menu, enter the Graph mode.
2. On the Setup screen, change the “Dual Screen” setting to “Off”.
3. Configure V-Window settings.
4. Specify the function type and enter a function that contains variables.
• In addition to manual input, you also can input expression containing variables using the
built-in function type list that appears when you press 4(TOOL)3(BUILT-IN). The
content of the built-in function type list is the same as that in the Dyna Graph mode (page
5-40).
5. Press 5(MODIFY) to execute the Modify function.
• This will draw the graph function you entered in step 4.
6. Use f and c to select Step (which will change its color to magenta) and then use the
number keys to enter a step value.
7. Use f and c to select the variable you want to modify.
8. Use d and e to change the selected variable value by the unit specified by the step
setting.
9. You also can enter the variable value directly.
10. To exit the Modify operation, press J.
Example
To register the graph expression y = x2 − Ax (A initial value = 0) and
specify a step of 0.5, and then observe changes in the graph as the
value of A changes from 0.5 to 2. Next, enter a value of −2 for the value
of A and observe how the graph changes. Use initialized (INITIAL) VWindow settings.
1 m Graph
2 !m(SET UP)cccc3(Off)J
3 !3(V-WIN)1(INITIAL)J
4 3(TYPE)1(Y=)vx-av(A)vw
5 5(MODIFY)
6 ca.fw
7 f
8 eeee
5-37
9 -cw
0 J
u To modify a graph in the Conic Graphs mode
Example
In the Conic Graphs mode, register the parametric equation X = H + T ;
Y = K + AT2 and the initial values A=2, H=0, K=0. Next, use the Modify
function to change H to −1 and then change K to −1, and observe the
changes in the graph.
1. From the Main Menu, enter the Conic Graphs mode.
2. Press 3(PARAM) to display the parametric equation list.
3. Use c to move the highlighting to X = H + T ; Y = K + AT2 and then press w.
• This will display a coefficients input screen.
4. Perform the following key operation to input A=2, H=0, K=0.
cwawaw
5. Press 1(MODIFY) to execute the Modify function.
6. Press c. Check to make sure that the H=0 line is magenta colored and then press d.
5-38
7. Press c. Check to make sure that the K=0 line is magenta colored and then press d.
8. To exit the Modify operation, press J.
k Copying a Graph Expression to the Graph Relation List while the
Modify Function is Running
You can use the following procedure to copy the expression (including its currently assigned
coefficient values) used to draw a graph with the Modify function.
1. While the graph to be copied is displayed and Modify function is running, press
K1(COPY).
• This displays the graph relation list screen.
2. Use f and c to move the highlighting to the area to which you want to copy the graph
expression.
3. Press w.
• This copies the expression and returns to the graph screen.
• You can view the copied expression by pressing J twice and displaying the graph
relation list screen.
Important!
• If you select an area that already contains an expression in step 2 of the above procedure,
pressing w in step 3 will overwrite the existing expression with the new one.
• Selecting the area where an expression that is being used for graphing (one whose “=”
symbol is highlighted) in step 2 of the above procedure and pressing w in step 3 will cause
the message “Expression in use” to appear. No copy operation is performed in this case.
5-39
9. Dynamic Graphing
k Using Dynamic Graph
Dynamic Graph lets you define a range of values for the coefficients in a function, and then
observe how a graph is affected by changes in the value of a coefficient. It helps to see how
the coefficients and terms that make up a function influence the shape and position of a graph.
1. From the Main Menu, enter the Dyna Graph mode.
2. Configure V-Window settings.
3. On the Setup screen, specify the Dynamic Type.
1(Cont) ... Continuous
2(Stop) ... Automatic stop after 10 draws
4. Use the cursor keys to select the function type on the built-in function type list.*1
5. If required, press !f(FORMAT) and use the dialog box that appears to specify the
graph color.
6. Input values for coefficients, and specify which coefficient will be the dynamic variable.*2
7. Specify the start value, end value, and increment.
8. Specify the drawing speed.
3(SPEED) 1( ) .... Pause after each draw (Stop&Go)*3
2( ) ...... Half normal speed (Slow)
3( ) ...... Normal speed (Normal)
4( ) ..... Twice normal speed (Fast)
9. Draw the Dynamic Graph.
*1 The following are the seven built-in function types.
• Y=Ax+B
• Y=A(x−B)2+C
• Y=Ax2+Bx+C
• Y=Asin(Bx+C)
• Y=Acos(Bx+C)
• Y=Atan(Bx+C)
• Y=Ax^3+Bx2+Cx+D
After you press 3(TYPE) and select the function type you want, you can then input the
actual function.
*2 You could also press w here and display the parameter setting menu.
*3 When “Stop&Go” is selected as the drawing speed, starting a Dynamic Graph draw operation
will cause drawing of the graph with the initial variable values to stop. Each press of w
sequentially displays the graph of the next variable value. Also, you can scroll to the graph of
the next variable value by pressing e (or +) or to the graph of the previous variable value
by pressing d (or -). To exit the Dynamic Graph draw operation, press J.
• The message “Too Many Functions” appears when more than one function is selected for
Dynamic Graphing.
5-40
Example
Use Dynamic Graph to graph y = A (x – 1)2 – 1, in which the value of
coefficient A changes from 2 through 5 in increments of 1. The graph is
drawn 10 times.
1 m Dyna Graph
2 !3(V-WIN)1(INITIAL)J
3 !m(SET UP)c2(Stop)J
4 5(BUILT-IN)c1(SELECT)
5 !f(FORMAT)b(Black)
6 4(VAR)cwbw-bw
7 2(SET)cwfwbwJ
8 3(SPEED)3( )J
9 6(DYNA)
Repeats from 1 through 4.
1
2
→
←
4
3
↓↑
→
←
k Drawing a Dynamic Graph Locus
Turning on the Dynamic Graph locus setting on the Setup screen lets you overlay a graph
drawn by changing the coefficient values.
1. From the Main Menu, enter the Dyna Graph mode.
2. Configure V-Window settings.
3. On the Setup screen, select “On” for “Locus”.
4. Use the cursor keys to select the function type on the built-in function type list.
5. Input values for coefficients, and specify which coefficient will be the dynamic variable.
6. Specify the start value, end value, and increment.
7. Specify “Normal” for the draw speed.
8. Draw the Dynamic Graph.
5-41
Example
Use Dynamic Graph to graph y = Ax, in which the value of coefficient
A changes from 1 through 4 in increments of 1. The Graph is drawn 10
times.
1 m Dyna Graph
2 !3(V-WIN)1(INITIAL)J
3 !m(SET UP)cc1(On)J
4 5(BUILT-IN)1(SELECT)
5 4(VAR)bwaw
6 2(SET)bwewbwJ
7 3(SPEED)3( )J
8 6(DYNA)
····→
←····
k Graph Calculation DOT Switching Function
Use this function to specify drawing of all the dots on the Dynamic Graph x-axis, or every other
dot. This setting is value for “Dynamic Func Y=” graphic only.
1. Press !m(SET UP) to display the Setup screen.
2. Press ccc to select “Y=Draw Speed”.
3. Select the graphing method.
1(Norm) … Draws all x-axis dots. (initial default)
2(High) … Draws every other x-axis dot. (faster drawing than Normal)
4. Press J.
k Using Dynamic Graph Memory
You can store Dynamic Graph conditions data in Dynamic Graph memory for later recall when
you need it. This lets you save time, because you can recall the data and immediately begin a
Dynamic Graph draw operation. Note that you can store one set of data in memory at any one
time.
5-42
u To save data in Dynamic Graph memory
1. While a Dynamic Graph draw operation is being performed, press A to change to the
speed adjustment menu.
2. Press 5(STORE). In response to the confirmation dialog that appears, press 1(Yes) to
save the data.
u To recall data from Dynamic Graph memory
1. Display the Dynamic Graph relation list.
2. Pressing 6(RECALL) recalls Dynamic Graph memory contents and draws the graph.
10. Graphing a Recursion Formula
k Generating a Number Table from a Recursion Formula
You can input up to three of the following types of recursion formulas and generate a number
table.
• General term of sequence {an}, composed of an, n
• Linear two-term recursion composed of an+1, an, n
• Linear three-term recursion composed of an+2, an+1, an, n
1. From the Main Menu, enter the Recursion mode.
2. Specify the recursion type.
3(TYPE)1(an) ... {general term of sequence an}
2(an+1) ... {linear two-term recursion}
3(an+2) ... {linear three-term recursion}
3. Input the recursion formula.
4. Specify the table range. Specify a start point and end point for n. If necessary, specify a
value for the initial term, and a pointer start point value if you plan to graph the formula.
5. Display the recursion formula number table.
5-43
Example
Generate a number table from recursion between three terms as
expressed by an+2 = an+1 + an, with initial terms of a1 = 1, a2 = 1 (Fibonacci
sequence), as n changes in value from 1 to 6.
1 m Recursion
2 3(TYPE)3(an+2)
3 4(n.an ··)3(an+1)+2(an)w
4 5(SET)2(a1)bwgwbwbwJ
5 6(TABLE)
* The first two values correspond
to a1 = 1 and a2 = 1.
• Pressing 1(FORMULA) will return to the screen for storing recursion formulas.
• Specifying “On” for the “ΣDisplay” of the Setup screen causes the sum of each term to be
included in the table.
k Graphing a Recursion Formula
After generating a number table from a recursion formula, you can graph the values on a line
graph or plot type graph.
1. From the Main Menu, enter the Recursion mode.
2. Configure V-Window settings.
3. Specify the recursion formula type and input the formula.
4. Specify the table range, and start and ending values for n. If necessary, specify the initial
term value and pointer start point.
5. Select the line style for the graph.
6. Display the recursion formula number table.
7. Specify the graph type and draw the graph.
5(GPH-CON) ... line graph
6(GPH-PLT) ... plot type graph
Example
Generate a number table from recursion between two terms as
expressed by an+1 = 2an + 1, with an initial term of a1 = 1, as n changes in
value from 1 to 6. Use the table values to draw a line graph.
Use the following V-Window settings.
Xmin = 0,
Xmax = 6,
Xscale = 1
Ymin = –15,
Ymax = 65,
Yscale = 5
5-44
1 m Recursion
2 !3(V-WIN)awgwbwc
-bfwgfwfwJ
3 3(TYPE)2(an+1)c2(an)+bw
4 5(SET)2(a1)bwgwbwJ
5 1(SEL+S)f2(
)J
6 6(TABLE)
7 5(GPH-CON)
• You can change the graph line color and line style from the recursion formula screen and
from the graph screen. To change from the recursion formula screen, see “To change graph
properties from the graph relation list screen” (page 5-15). To change from the graph screen,
see “To change graph properties from the graph screen” (page 5-16).
• After drawing a graph, you can use Trace, Zoom, and Sketch.
• Press A to return to the number table screen. After drawing a graph, you can toggle
between the number table screen and graph screen by pressing !6(G⇔T).
k Graphing a Phase Plot from Two Numeric Sequences
You can draw the phase plot for numeric sequences generated by two expressions input in
the Recursion mode with one value on the horizontal axis and the other value on the vertical
axis. For an (an+1, an+2), bn (bn+1, bn+2), cn (cn+1, cn+2), the numeric sequence of the alphabetically
first expression is on the horizontal axis while the following numeric sequence is on the vertical
axis.
1. From the Main Menu, enter the Recursion mode.
2. Configure V-Window settings.
3. Enter two recursion formulas and select both of them for table generation.
4. Configure table generation settings.
Specify the start and end values for variable n and the initial term for each recursion
formula.
5. Display the recursion formula number table.
6. Draw the phase plot.
Example
To input the two sequence formulas for regression between two terms
an+1 = 0.9an and bn+1 = bn + 0.1n − 0.2, and specify initial terms a1 = 1 and
b1 = 1 for each. Generate a number table as the value of the n variable
goes from 1 to 10 and use it to draw a phase plot.
Use the following V-Window settings.
Xmin = 0,
Xmax = 2,
Xscale = 1
Ymin = 0,
Ymax = 4,
Yscale = 1
5-45
1 m Recursion
2 !3(V-WIN)awcwbwc
awewbwJ
3 3(TYPE)2(an+1)a.j2(an)w
4(n.an ··)3(bn)+a.b1(n)-a.cw
4 5(SET)2(a1)bwbawbwbwJ
5 6(TABLE)
6 3(PHASE)
• The color used for phase plotting is the color assigned to the initial expression. When
phase plotting from expression an and expression bn, for example, the color will be that of
expression an.
• If you enter three expressions on the Recursion mode screen and select all of them for table
creation, you will need to specify which two of the three expressions you want to use to draw
the phase plot. To do so, use the function menu that appears when you press 3(PHASE)
on the table screen.
1(a • b).......... Graph using an (an+1, an+2) and bn (bn+1, bn+2).
2(b • c) .......... Graph using bn (bn+1, bn+2) and cn (cn+1, cn+2).
3(a • c) .......... Graph using an (an+1, an+2) and cn (cn+1, cn+2).
• Specifying “On” for the “ΣDisplay” of the Setup screen causes the sum of each term to be
included in the table. At this time you can select use of the two numeric sequences as-is to
draw the plot graph, or use of the sums of each of the two numeric sequences. To do so, use
the function menu that appears when you press 3(PHASE) on the table screen.
1(an) ............ Use numeric sequence for graphing.
6(Σ an) .......... Use numeric sequence sums for graphing.
5-46
• When “On” is selected “ΣDisplay” on the Setup screen and all three of the expressions
you input in the Recursion mode are selected for table creation, use the function menu
that appears when you press 3(PHASE) on the table screen to specify which two of the
expressions you want to use, and to specify whether you want to use numeric sequence
data or numeric sequence sum data.
1(a • b).......... Graph using number sequences an
(an+1, an+2) and bn (bn+1, bn+2)
2(b • c) .......... Graph using number sequences bn
(bn+1, bn+2) and cn (cn+1, cn+2)
3(a • c) .......... Graph using number sequences an
(an+1, an+2) and cn (cn+1, cn+2)
4(Σ a • b) ....... Graph using the sums of number
sequences an (an+1, an+2) and bn (bn+1, bn+2)
5(Σ b • c) ....... Graph using the sums of number
sequences bn (bn+1, bn+2) and cn (cn+1, cn+2)
6(Σ a • c) ....... Graph using the sums of number
sequences an (an+1, an+2) and cn (cn+1, cn+2)
k WEB Graph (Convergence, Divergence)
y = f(x) is graphed by presuming an+1 = y, an = x for linear two-term recursion an+1 = f(an)
composed of an+1, an. Next, it can be determined whether the function is convergent or
divergent.
1. From the Main Menu, enter the Recursion mode.
2. Configure V-Window settings.
3. Select 2-term recursion as the recursion formula type, and input the formula.
4. Specify the table range, n start and end points, initial term value, and pointer start point.
5. Display the recursion formula number table.
6. Draw the graph.
7. Press w, and the pointer appears at the start point you specified.
Press w several times.
If convergence exists, lines that resemble a spider web are drawn on the display. Failure
of the web lines to appear indicates either divergence or that the graph is outside the
boundaries of the display screen. When this happens, change to larger V-Window values
and try again.
You can use fc to select the graph.
5-47
Example
To draw the WEB graph for the recursion formula an+1 = –3(an)2 + 3an, bn+1
= 3bn + 0.2, and check for divergence or convergence. Use the following
table range: Start = 0, End = 6, a0 = 0.01, anStr = 0.01, b0 = 0.11, bnStr
= 0.11
1 m Recursion
2 !3(V-WIN)awbwbwc
awbwbwJ
3 3(TYPE)2(an+1)-d2(an)x+d2(an)w
d3(bn)+a.cw
4 5(SET)1(a0)
awgwa.abwa.bbwc
a.abwa.bbwJ
5 6(TABLE)
6 4(WEB-GPH)
7 w~w(an is convergence)
cw~w(bn is divergence)
• To change the graph line style, press 1(SEL+S) after step 4.
• With WEB Graph, you can specify the line type for a y = f(x) graph. The line type setting is
valid only when “Connect” is selected for “Draw Type” on the Setup screen.
11. Graphing a Conic Section
k Graphing a Conic Section
You can use the Conic Graphs mode to graph parabolas, circles, ellipses, and hyperbolas.
You can input a rectangular coordinate function, polar coordinate function, or parametric
function for graphing.
1. From the Main Menu, enter the Conic Graphs mode.
2. Select the function type.
1(RECT).... {rectangular coordinate}
2(POL).... {polar coordinate}
3(PARAM).... {parametric}
5-48
3. Select the pattern of the function in accordance with the type of graph you want to draw.
R
w
4. Enter the coefficients of the function and draw the graph.
Example
To input the rectangular coordinate function x = 2y2 + y − 1 and graph a
parabola open on the right, and then input the polar coordinate function
r = 4cosθ and draw a circle graph.
1 m Conic Graphs
2 1(RECT)c(X=AY2+BY+C)w
3 cwbw-bw6(DRAW)
4 JJ
5 2(POL)cccc(R=2Acosθ)w
6 cw6(DRAW)
• In the Conic Graphs mode, you can press 1(MODIFY) in place of 6(DRAW) while
the coefficients input screen is displayed and modify the value of the coefficients on the
graph screen, and observe changes in the graph due to the modifications. For details, see
“Modifying a Graph” (page 5-36).
• In the Conic Graphs mode, you can press !f(FORMAT) while any screen is displayed
to display a dialog box for changing the graph color.
5-49
12. Drawing Dots, Lines, and Text on the Graph
Screen (Sketch)
The sketch function lets you draw points and lines inside of graphs. You can select one of five
different line styles and seven colors for drawing with the sketch function.
u To draw dots, lines, and text on the graph screen
1. From the Main Menu, enter the Graph mode.
2. Configure V-Window settings.
3. On the Setup screen, configure the following settings as required.
• Sketch Line ... Initial default line style when drawing a line
• Plot/LineCol ... Initial default color when drawing a plot, line, or text
4. Input the function of the graph.
5. Draw the graph.
6. Select the sketch function you want to use.*1
!4(SKETCH)1(Cls) ... Screen clear
2(Tangent) ... Tangent line
3(Norm) ... Line normal to a curve
4(Inverse) ... Inverse function*2
6(g)1(PLOT)
{Plot}/{PlotOn}/{PlotOff}/{PlotChg} ... Point {Plot}/{On}/{Off}/{Change}
6(g)2(LINE)
{Line}/{F-Line} ... {connects 2 points plotted by 6(g)1(PLOT) with
a line}/{for drawing a line between any 2 points}
6(g)3(Circle) ... Circle
6(g)4(Vertical) ... Vertical line
6(g)5(Horz) ... Horizontal line
6(g)6(g)1(PEN) ... Freehand
6(g)6(g)2(Text) ... Text input
7. Press !f(FORMAT) to display the format dialog box, and then configure color and line
style settings.
• You can specify the line color and line style while Tangent, Norm, Line, F-Line, Circle,
Vertical, Horz, or PEN is selected.
• You cannot specify the line color and line style while Plot, PlotOn, PlotChg, or Text is
selected.
• To close the format dialog box, press J.
5-50
8. Use the cursor keys to move the pointer (
press w.*3
) to the location where you want to draw, and
*1 The above shows the function menu that appears in the Graph mode. Menu items may
differ somewhat in other modes.
*2 In the case of an inverse function graph, drawing starts immediately after you select this
option. The line style and color setting selected for the Setup screen “Sketch Line” and
“Plot/LineCol” settings are always applied for an inverse function graph.
*3 Some sketch functions require specification of two points. After you press w to specify the
first point, use the cursor keys to move the pointer to the location of the second point and
press w.
Example
Draw a line that is tangent to point (2, 0) on the graph for y = x (x + 2)
(x – 2).
1 m Graph
2 !3(V-WIN)1(INITIAL)J
3 !m(SET UP)cccccccc1(COLOR)b(Black)
c1(
)J
4 3(TYPE)1(Y=)v(v+c)(v
-c)w
5 6(DRAW)
6 !4(SKETCH)2(Tangent)
7 !f(FORMAT)b(Line Style)f(Thin)
c(Line Color)d(Red)J
8 e~ew*1
*1 You can draw a tangent line in succession by moving the
5-51
pointer and pressing w.
13. Function Analysis
k Reading Coordinates on a Graph Line
Trace lets you move a pointer along a graph and read out coordinates on the display.
1. From the Main Menu, enter the Graph mode.
2. Draw the graph.
3. Press !1(TRACE), and a pointer appears in the center of the graph.*1
4. Use d and e to move the pointer along the graph to
the point at which you want to display the coordinates.
When there are multiple graphs on the display, press
f and c to move between them along the x-axis of
the current pointer location.
• At this time, pointer coordinate values appear at the bottom of the screen and to the right
(or left) of the pointer. Also, supplementary lines appear from the pointer to the x-axis and
y-axis.
• You can hide the supplementary lines by pressing !c. To redisplay hidden lines,
press !f.
5. You can also move the pointer by pressing v to display the pop-up window, and then
inputting an x value.
The pop-up window appears even when you input an x value directly.
To exit a trace operation, press !1(TRACE).
*1 The pointer is not visible on the graph when it is located at a point outside the graph display
area or when an error of no value occurs.
• You can turn off display of the coordinates at the pointer location by specifying “Off” for the
“Coord” item on the Setup screen.
• The following shows how coordinates are displayed for each function type.
Polar Coordinate Graph
Parametric Graph
Inequality Graph
(Y≥
≥, Y≤, X≥, X≤)
(Y>, Y<, X>, X<)
5-52
• Pressing w while the
pointer is on a graph (during
Trace, G-Solve, etc.) will place a dot at the pointer location
along with a label which shows the coordinates at the dot
location. Pressing aD removes the last dot and
coordinate label that was created.
• Dots created with the above operation will appear as for coordinate values that are
included in the graph expression, and for values that are not. For example, a dot at
coordinates (2,1) on the graph Y=2X will be , while a dot at coordinates (2,1) on the graph
Y>2X will be .
k Displaying the Derivative
In addition to using Trace to display coordinates, you can also display the derivative at the
current pointer location.
1. From the Main Menu, enter the Graph mode.
2. On the Setup screen, specify “On” for “Derivative”.
3. Draw the graph.
4. Press !1(TRACE), and the pointer appears at the
center of the graph. The current coordinates and the
derivative also appear on the display at this time.
k Graph to Table
You can use trace to read the coordinates of a graph and store them in a number table. You
can also use Dual Graph to simultaneously store the graph and number table, making this an
important graph analysis tool.
1. From the Main Menu, enter the Graph mode.
2. On the Setup screen, specify “GtoT” for “Dual Screen”.
3. Configure V-Window settings.
4. Save the function and draw the graph on the
main (left) screen.
5. Activate Trace. When there are multiple graphs on
the display, press f and c to select the graph you
want.
6. Use d and e to move the pointer and press w to store coordinates into the number
table. Repeat this step to store as many values as you want.
• Each press of w places a dot on the graph at the current pointer location.
7. Press K1(CHANGE) to make the number table active.
5-53
k Coordinate Rounding
This function rounds off coordinate values displayed by Trace.
1. From the Main Menu, enter the Graph mode.
2. Draw the graph.
3. Press !2(ZOOM)6(g)3(ROUND). This causes
the V-Window settings to be changed automatically
in accordance with the Rnd value.
4. Press !1(TRACE), and then use the cursor keys
to move the pointer along the graph. The coordinates
that now appear are rounded.
k Analyzing Graphs (G-SOLVE Menu)
Pressing !5(G-SOLVE) displays a function menu that contains functions you can use to
analyze the currently displayed graph and obtain the following information.
!5(G-SOLVE)1(ROOT) ... Root of the graph
2(MAX) ... Maximum value of the graph
3(MIN) ... Minimum value of the graph
4(Y-ICEPT) ... y-intercept of the graph
5(INTSECT) ... Intersection of two graphs
6(g)1(Y-CAL) ... y-coordinate for a given x-coordinate
6(g)2(X-CAL) ... x-coordinate for a given y-coordinate
6(g)3(∫dx)1(∫dx) ... Integration value for a specified range
6(g)3(∫dx)2(ROOT) ... Integration value between the two or more of
the graph’s roots
6(g)3(∫dx)3(INTSECT) ... Integration value between the two or more
intersections of two graphs
• Either of the following can cause poor accuracy or even make it impossible to obtain
solutions.
- When the graph of the solution obtained is a point of tangency with the x-axis
- When a solution is an inflection point
5-54
u To calculate the root of a graph
1. Draw a graph.
2. Press !5(G-SOLVE)1(ROOT).
3. If there are multiple graphs on the graph screen, one of them will start flashing. Use f and
c to move the flashing to the graph you want to analyze.
4. To select the flashing graph, press w. This displays the value produced by the analysis.
Example
Graph the function shown below, and then calculate the roots.
Y1 = x3 − 4x
• When an analysis produces multiple values, press e to calculate the next value. Pressing
d returns to the previous value.
• When “On” is selected for the Derivative setting on the Setup screen, the derivative will
be displayed along with the root when you calculate the root of a graph using the above
procedure.
u To calculate the point of intersection of two graphs
1. Draw the graphs.
2. Press !5(G-SOLVE)5(INTSECT). If there are three or more graphs on the graph
screen, one of them will start flashing.
3. Use f and c to move the flashing to one of the graphs whose point of intersection you
want to determine and then press w.
4. Use f and c to move the flashing to the other graph whose point of intersection you
want to determine and then press w.
5. Press w to determine the point of intersection for the two graphs.
When an analysis produces multiple values, press e to calculate the next value.
Pressing d returns to the previous value.
5-55
Example
Graph the two functions shown below, and determine the point of
intersection between Y1 and Y2.
Y1 = x + 1, Y2 = x2
• You can calculate the point of intersection for rectangular coordinate graphs (Y=f(x) type)
and inequality graphs (Y > f(x), Y < f(x), Y ≥ f(x) or Y ≤ f(x)) only.
• Either of the following can cause poor accuracy or even make it impossible to obtain
solutions.
- When a solution is a point of tangency between two graphs
- When a solution is an inflection point
u To determine the coordinates for given points
1. Draw the graph.
2. Select the function you want to perform.
!5(G-SOLVE)6(g)1(Y-CAL) ... y-coordinate for given x
6(g)2(X-CAL) ... x-coordinate for given y
3. If there are multiple graphs on the graph screen, one of them will start flashing. Use f and
c to move the flashing to the graph you want to select and then press w.
4. Input the given x-coordinate value or y-coordinate value.
Press w to calculate the corresponding y-coordinate value or x-coordinate value.
Example
Graph the two functions shown below and then determine the ycoordinate for x = 0.5 and the x-coordinate for y = 2.2 on graph Y2.
Y1 = x + 1, Y2 = x(x + 2)(x – 2)
• When there are multiple results for the above procedure, press e to calculate the next
value. Pressing d returns to the previous value.
• The X-CAL value cannot be obtained for a parametric function graph.
5-56
u To calculate the integral value for a given range
Use the following procedure to obtain integration values for a given range.
1. Draw the graph.
2. Press !5(G-SOLVE)6(g)3(∫dx)1(∫dx). If there are multiple graphs on the graph
screen, one of them will start flashing.
3. Use f and c to move the flashing to the graph you want to select and then press w.
4. Use d and e to move the lower limit pointer to the location you want, and then press
w.
5. Use e to move the upper limit pointer to the location you want.
6. Press w to calculate the integral value.
Example
Graph the function shown below, and then determine the integral value
at (–2, 0).
Y1 = x(x + 2)(x – 2)
• You can also specify the lower limit and upper limit by inputting them on the 10-key pad.
• When setting the range, make sure that the lower limit is less than the upper limit.
• Integral values can be calculated for rectangular coordinate graphs only.
u To obtain the integration value and area value between two or more roots of
a graph
1. Draw a graph.
2. Press !5(G-SOLVE)6(g)3(∫dx)2(ROOT).
• The pointer will appear at the leftmost root currently on the graph screen.
• If there is no root on the display, the message “Not Found” will appear. In this case, press
J.
3. Use d and e to move the pointer to the root you want to use as the lowermost side of
the integration region, and then press w.
4. Use e to move the pointer to the root you want to use as the uppermost side of the
integration region, and the press w.
• If there is only one root on the display, the message “Not Found” will appear. In this case,
press J.
5. Press w to calculate the integral value and area value.
5-57
Example
To graph Y = sin X, and then determine the graph integration value and
area value for the region between the root of the minus value nearest
the origin and the root of the plus value nearest the origin
Integration value
Area value
• If there are 21 or more roots between the two roots you specify, an error will occur.
• Integral values and area values can be calculated for rectangular coordinate graphs only.
u To obtain the integration value and area value between two or more
intersection points of two graphs
1. Draw two graphs.
2. Press !5(G-SOLVE)6(g)3(∫dx)3(INTSECT).
• The pointer will appear at the leftmost intersection currently on the graph screen.
• If there is no intersection point on the display, the message “Not Found” will appear. In this
case, press J.
3. Use d and e to move the pointer to the intersection point you want to use as the
lowermost side of the integration region, and then press w.
4. Use e to move the pointer to the intersection point you want to use as the uppermost side
of the integration region.
• If there is only one intersection point on the display, the message “Not Found” will appear.
In this case, press J.
5. Press w to calculate the integral value and area value.
Example
To graph Y = sin X and Y = sin (X −
π ), and then determine the
2
integration value and area value between two points of intersection you
specify
Integration value
Area value
• If there are 21 or more intersections between the two points of intersection you specify, an
error will occur.
• Integral values and area values can be calculated for rectangular coordinate graphs only.
5-58
k Conic Section Graph Analysis
You can determine approximations of the following analytical results using conic section
graphs.
1. From the Main Menu, enter the Conic Graphs mode.
2. Select the function type.
1(RECT).... {rectangular coordinate}
2(POL).... {polar coordinate}
3(PARAM).... {parametric}
3. Use f and c to select the conic section you want to analyze.
4. Input the conic section constants.
5. Draw the graph.
After graphing a conic section, press !5(G-SOLVE) to display the following graph
analysis menus.
u Parabolic Graph Analysis
• {FOCUS}/{VERTEX}/{LENGTH}/{e} ... {focus}/{vertex}/{length of latus rectum}/{eccentricity}
• {DIRECTX}/{SYMMETRY} ... {directrix}/{axis of symmetry}
• {X-ICEPT}/{Y-ICEPT} ... {x-intercept}/{y-intercept}
u Circular Graph Analysis
• {CENTER}/{RADIUS} ... {center}/{radius}
• {X-ICEPT}/{Y-ICEPT} ... {x-intercept}/{y-intercept}
u Elliptical Graph Analysis
• {FOCUS}/{VERTEX}/{CENTER}/{e} ... {focus}/{vertex}/{center}/{eccentricity}
• {X-ICEPT}/{Y-ICEPT} ... {x-intercept}/{y-intercept}
u Hyperbolic Graph Analysis
• {FOCUS}/{VERTEX}/{CENTER}/{e} ... {focus}/{vertex}/{center}/{eccentricity}
• {ASYMPT} ... {asymptote}
• {X-ICEPT}/{Y-ICEPT} ... {x-intercept}/{y-intercept}
5-59
u To calculate the focus and length of latus rectum
Example
To determine the focus and length of latus rectum for the parabola X =
(Y – 2)2 + 3
Use the following V-Window settings.
Xmin = –1,
Xmax = 10,
Xscale = 1
Ymin = –5,
Ymax = 5,
Yscale = 1
m Conic Graphs
w
bwcwdw6(DRAW)
!5(G-SOLVE)
1(FOCUS)
(Calculates the focus.)
!5(G-SOLVE)
5(LENGTH)
(Calculates the length of latus rectum.)
• When calculating two foci for an ellipse or hyperbolic graph, press e to calculate the
second focus. Pressing d returns to the first focus.
• When calculating two vertexes for a hyperbolic graph, press e to calculate the second
vertex. Pressing d returns to the first vertex.
• Pressing e when calculating the vertices of an ellipse will calculate the next value.
Pressing d will scroll back through previous values. An ellipse has four vertices.
5-60
u To calculate the center
Example
To determine the center for the circle
(X + 2)2 + (Y + 1)2 = 22
m Conic Graphs
ccccw
-cw-bwcw6(DRAW)
!5(G-SOLVE)
1(CENTER)
(Calculates the center.)
5-61
Chapter 6 Statistical Graphs and
Calculations
Important!
This chapter contains a number of graph screen shots. In each case, new data values were input in
order to highlight the particular characteristics of the graph being drawn. Note that when you try to
draw a similar graph, the unit uses data values that you have input using the List function. Because
of this, the graphs that appear on the screen when you perform a graphing operation will probably
differ somewhat from those shown in this manual.
1. Before Performing Statistical Calculations
Entering the Statistics mode from the Main Menu displays the List Editor screen.
You can use the List Editor screen to input statistical data and perform statistical calculations.
Use f, c, d and e to move the
highlighting around the lists.
Once you input data, you can use it to produce a graph and
check for tendencies. You can also use a variety of different
regression calculations to analyze the data.
• For information about using the List Editor, see “Chapter 3
List Function”.
k Statistical Graph Parameters
You can specify the graph draw/non-draw status, the graph type, and other general settings for
each of the graphs in the graph menu (GRAPH1, GRAPH2, GRAPH3).
While the List Editor is on the display, press 1(GRAPH) to display the graph menu, which
contains the following items.
• {GRAPH1}/{GRAPH2}/{GRAPH3} ... graph {1}/{2}/{3} drawing*1
• {SELECT} ... {simultaneous graph (GRAPH1, GRAPH2, GRAPH3) selection}
You can specify the multiple graphs.
• {SET} ... {graph settings (graph type, list assignments)}
*1 The initial default graph type setting for all the graphs (Graph 1 through Graph 3) is scatter
diagram, but you can change to one of a number of other graph types.
6-1
6
k General Graph Settings
[GRAPH]-[SET]
This section describes how to use the general graph settings screen to make the following
settings for each graph (GRAPH1, GRAPH2, GRAPH3).
• Graph Type
The initial default graph type setting for all the graphs is scatter graph. You can select one of a
variety of other statistical graph types for each graph.
• List
The initial default statistical data is List 1 for single-variable data, and List 1 and List 2 for
paired-variable data. You can specify which statistical data list you want to use for x-data and
y-data.
• Frequency
This setting specifies a list that contains frequency data.
In statistics, “frequency” means the number of times a data item (or set of data items) occurs.
Frequencies are used in “frequency distribution tables,” which list each unique data item in
one column, with the frequency (number of occurrences) in the column to the right. With this
calculator, the data column and frequency column are separate lists. This setting specifies the
list (List 1, List 2, etc.) to be used for the frequency column when drawing a statistical graph.
The initial default setting for this item is 1, which indicates that the frequency of all data items
is 1 (one occurrence).
• The values contained in a frequency list should be 0 or positive values only. Even a single
negative value will cause an error (Out of Domain).
• Mark Type
This setting lets you specify the shape of the plot points on the graph.
• Color Link
This setting specifies whether the color specified on the List Editor for the statistical data list(s)
to be used for graphing should be applied as the graph color(s). The initial default value is “Off”
(color specified with the List Editor not applied to the graph).
• Graph Color
Specifies the graph color when “Off” is selected for the Color Link setting. Depending on the
graph type, setting items for specifying the color of each part of a graph may appear in place
of this item. In the case of a pie chart, for example, Pie Area and Pie Border color settings will
appear.
6-2
u To display the general graph settings screen
Pressing 1(GRAPH)6(SET) displays the general graph
settings screen.
• StatGraph (statistical graph specification)
• {GRAPH1}/{GRAPH2}/{GRAPH3} ... graph {1}/{2}/{3}
• Graph Type (graph type specification)
• {Scatter}/{xyLine}/{NPPlot}/{Pie} ... {scatter diagram}/{xy line graph}/{normal probability
plot}/{pie chart}
• {Hist}/{MedBox}/{Bar}/{N-Dist}/{Broken} ... {histogram}/{med-box graph}/{bar graph}/
{normal distribution curve}/{broken line graph}
• {X}/{Med}/{X2}/{X3}/{X4} ... {linear regression graph}/{Med-Med graph}/{quadratic regression
graph}/{cubic regression graph}/{quartic regression graph}
• {Log}/{aebx}/{abx}/{Power}/{Sin}/{Logistic} ... {logarithmic regression graph}/{exponential
regression graph (aebx)}/{exponential regression graph (abx)}/{power regression graph}/
{sinusoidal regression graph}/{logistic regression graph}
• XList (x-axis data list)/YList (y-axis data list)
• {List} ... {List 1 to 26}
• Frequency (number of times a value occurs)
• {1} ... {1-to-1 plot}
• {List} ... {List 1 to 26}
• Mark Type (plot mark type)
• {}/{
}/{} ... scatter diagram plot points
• Color Link
The options that appear for this setting depend on the graph type.
For this graph
type:
Selecting
this:
Scatter, xyLine
X&Y
Causes this to happen:
Colors specified for both the XList and YList data are
reflected in the graph.
• When the same lines of the XList and YList are the same
color, plot marks and line will be drawn in the graph using
that color.
• When the same lines of the XList and YList are different
colors, the graph plot marks are shown as ◎ and lines are
drawn in black.
OnlyX
The color specified only for the XList data is reflected in the
graph.
OnlyY
The color specified only for the YList data is reflected in the
graph.
Off
List data color specifications are ignored.
6-3
For this graph
type:
Selecting
this:
Causes this to happen:
NPPlot, Pie,
Bar
On
The color specified for the list data is reflected in the graph.
Off
List data color specifications are ignored.
Hist, Broken
X&Freq
Colors specified for both the XList and Frequency data list
are reflected in the graph.
• When the same lines of the XList and Frequency data list
are the same color, the graph is drawn using that color.
• When the same lines of the XList and Frequency data
list are the different colors, plot marks and lines are
represented as described below.
Hist: Graph is shaded with the applicable color.
Broken: Graph plot marks are shown as ◎ and lines are
drawn in black.
OnlyX
The color specified for only the XList data is reflected in the
graph.
Off
List data color specifications are ignored.
Example: Scatter graph when “OnlyX” is selected for the Color Link setting
⇒
List Editor display
(XList:List 1, YList:List 2)
Color Link: OnlyX
(scatter graph)
• Graph Color
• {Black}/{Blue}/{Red}/{Magenta}/{Green}/{Cyan}/{Yellow} ... Specifies a single color as the
graph color
Example: Scatter graph when {Red} is specified for Graph
Color
6-4
• {Auto} ... Cycles the color used for graph drawing in the following sequence for each data
item (or data pair): blue, red, green, magenta, black. Cycle is repeated after all five
colors are used. For some graphs, different parts of the graph (points, lines, etc.) are
automatically drawn using different colors. {Auto} can be selected only when the graph
type is Scatter, xyLine, NPPlot, or Broken.
Example: Scatter graph when {Auto} is specified for Graph
Color
• The Graph Color setting is always “Link” whenever anything other than “Off” is selected for
the Color Link setting.
When “Pie” (pie chart) is selected as the Graph Type:
• Data (Specifies the list to be used as graph data.)
• {LIST} ... {List 1 to List 26}
• Display (pie chart value display setting)
• {%}/{Data} ... For each data element {display as percentage}/{display as value}
• % Sto Mem (Specifies storage of percentage values to a list.)
• {None}/{List} ... For percentage values: {Do not store to list}/{Specify List 1 to 26 and store}
• Pie Area (Specifies the fill color of a pie chart.)
• Area Color
• {Black}/{Blue}/{Red}/{Magenta}/{Green}/{Cyan}/{Yellow} ... Specifies a single fill color
for each data item.
• {Auto} ... Automatically cycles the fill color in the following sequence for each data item:
blue, red, green, magenta, cyan, yellow. Cycle is repeated after all six colors are used.
• Paint Style
• {Normal}/{Lighter} ... {normal fill density}/{lighter fill density}
• The Area Color setting is always “Link” and the Paint Style setting is always “Lighter”
whenever anything other than “Off” is selected for the Color Link setting.
• Pie Border (Specifies the border line color of a pie chart.)
• {Black}/{Blue}/{Red}/{Magenta}/{Green}/{Cyan}/{Yellow} ... Specifies a single color for the
border line.
• {Clear} ... No border line drawn.
6-5
When “Hist” (Histogram) is selected as the Graph Type:
• Hist Area (Specifies the fill color of a histogram.)
Settings are the same as those for Pie Area.
• Hist Border (Specifies the border line color of a histogram.)
Settings are the same as those for Pie Border.
• The Hist Border setting is always “Link” whenever anything other than “Off” is selected for
the Color Link setting.
When “MedBox” (med-box graph) is selected as the Graph Type:
• Outliers (outliers specification)
• {On}/{Off} ... {display}/{do not display} Med-Box outliers
minX
Q1
Med
Q3
maxX
Outlier(s)
• Box (Specifies the border line color of the box enclosed by Q1 through Q3, and the
Med line color.)
• {Black}/{Blue}/{Red}/{Magenta}/{Green}/{Cyan}/{Yellow} ... Specifies a single color for the
border line.
• Whisker (Specifies the whisker color from the box ends to minX and maxX.)
Settings are the same as those for Box.
• Out Color (Specifies the outliers color.)
Settings are the same as those for Box.
• Box Inside (Specifies the fill color of the box enclosed by Q1 through Q3.)
Settings are basically the same as those for Pie Area, except for the following differences.
• When “Auto” is selected for the Area Color setting, blue is the fill color of the box from Q1 to
Med, and yellow is the fill color of the box from Med to Q3.
When “Bar” (bar graph) is selected as the Graph Type:
• Data1 (first stick data list)
• {LIST} ... {List 1 to 26}
• Data2 (second stick data list)/Data3 (third stick data list)
• {None}/{LIST} ... {none}/{List 1 to 26}
• Stick Style (stick style specification)
• {Length}/{Horz} ... {length}/{horizontal}
6-6
• D1 Area, D2 Area, D3 Area (Specifies the fill colors of bar graphs Data 1, Data 2, and
Data 3.)
Settings are the same as those for Hist Area.
• D1 Border, D2 Border, D3 Border (Specifies the border colors of bar graphs Data 1,
Data 2, and Data 3.)
Settings are the same as those for Hist Border.
k Graph Draw/Non-draw Status
[GRAPH]-[SELECT]
The following procedure can be used to specify the draw (On)/non-draw (Off) status of each of
the graphs in the graph menu.
u To specify the draw/non-draw status of a graph
1. Pressing 1(GRAPH)4(SELECT) displays the graph
On/Off screen.
• Note that the StatGraph1 setting is for Graph 1 (GRAPH1 of the graph menu), StatGraph2
is for Graph 2, and StatGraph3 is for Graph 3.
2. Use the cursor keys to move the highlighting to the graph whose status you want to change,
and press the applicable function key to change the status.
• {On}/{Off} ... {On (draw)}/{Off (non-draw)}
• {DRAW} ... {draws all On graphs}
3. To return to the graph menu, press J.
k Statistical Graph V-Window Settings
V-Window parameters are normally set automatically for statistical graphing. If you want to set
V-Window parameters manually, you must change the Stat Wind item to “Manual”.
While the List Editor is on the display, perform the following procedure.
!m(SET UP)2(Manual)
J(Returns to previous menu.)
Note that V-Window parameters are set automatically for the following types of graphs
regardless of whether or not the Stat Wind item is set to “Manual”.
Pie, 1-Sample Z Test, 2-Sample Z Test, 1-Prop Z Test, 2-Prop Z Test, 1-Sample t Test, 2Sample t Test, χ2 GOF Test, χ2 2-way Test, 2-Sample F Test (x-axis only disregarded).
6-7
2. Calculating and Graphing Single-Variable
Statistical Data
Single-variable data is data with only a single variable. If you are calculating the average height
of the members of a class for example, there is only one variable (height).
Single-variable statistics include distribution and sum. The following types of graphs are
available for single-variable statistics.
You can also use the procedures under “Statistical Graph Parameters” on page 6-1 to make
the settings you want before drawing each graph.
k Normal Probability Plot
This plot compares the data accumulated ratio with a normal distribution accumulated ratio.
XList specifies the list where data is input, and Mark Type is used to select from among the
marks { /
/ } you want to plot.
Press A, J or !J(QUIT) to return to the List Editor.
k Pie Chart
You can draw a pie chart based on the data in a specific list. The maximum number of graph
data items (list lines) is 20. The graph is labeled A, B, C, and so on, corresponding to lines 1,
2, 3, and so on of the list used for the graph data.
When “%” is selected for the “Display” setting on the general graph settings screen (page 6-3),
a value showing the percentage is displayed for each of the alphabetic label letters.
6-8
k Histogram
XList specifies the list where the data is input, while Freq specifies the list where the data
frequency is input. 1 is specified for Freq when frequency is not specified.
⇒
w(Draw)
The display screen appears as shown above before the graph is drawn. At this point, you can
change the Start and Width values.
k Med-box Graph
This type of graph lets you see how a large number of
data items are grouped within specific ranges. A box
encloses all the data in an area from the first quartile minX
(Q1) to the third quartile (Q3), with a line drawn at the
median (Med). Lines (called whiskers) extend from
either end of the box up to the minimum (minX) and
maximum (maxX) of the data.
Q1
Med Q3
maxX
To plot the data that falls outside the box, first specify
“MedBox” as the Graph Type. Then, on the same screen you
use to specify the graph type, turn the Outliers item “On”,
and draw the graph.
• Changing the “Q1Q3 Type” setting on the Setup screen can cause the Q1 and Q3 positions
to change, even when a Med-box graph is drawn based on a single list.
6-9
k Bar Graph
You can specify up to three lists for drawing a bar graph. The graph is labeled [1], [2], [3], and
so on, corresponding to lines 1, 2, 3, and so on of the list used for the graph data.
• Any of the following causes an error and cancels bar graph drawing.
- A Condition ERROR occurs when drawing of multiple graphs is specified using the graph
On/Off screen (page 6-7), and bar graph is specified for one of the graphs and a different
graph type is specified for another graph.
- A Dimension ERROR occurs when you draw a graph with two or three lists specified and
the specified lists have a different number of list elements.
- A Condition ERROR occurs when lists are assigned for Data1 and Data3, while “None” is
specified for Data2.
k Normal Distribution Curve
The normal distribution curve is graphed using the normal
distribution function.
XList specifies the list where the data is input, while Freq
specifies the list where the data frequency is input. 1 is
specified for Freq when frequency is not specified.
k Broken Line Graph
Lines connect center points of a histogram bar.
XList specifies the list where the data is input, while Freq specifies the list where the data
frequency is input. 1 is specified for Freq when frequency is not specified.
6-10
⇒
w(Draw)
The display screen appears as shown above before the graph is drawn. At this point, you can
change the Start and Width values.
k Displaying the Calculation Results of a Drawn Single-Variable Graph
Single-variable statistics can be expressed as both graphs
and parameter values. When these graphs are displayed,
the single-variable calculation results appear as shown to
the right when you press 1(1-VAR).
• Use c to scroll the list so you can view the items that run off the bottom of the screen.
The following describes the meaning of each of the parameters.
x¯ .................. mean
Σx ................ sum
Σx2 ............... sum of squares
minX .............minimum
σx ................. population standard
deviation
Q3 ................ third quartile
sx ................. sample standard
deviation
Mod .............. mode
n ..................number of data items
Q1 ................ first quartile
Med .............. median
maxX ............ maximum
Mod:n ..........number of data mode items
Mod:F ..........data mode frequency
• Press 6(DRAW) to return to the original single-variable statistical graph.
• When Mod has multiple solutions, they are all displayed.
• You can use the Setup screen’s “Q1Q3 Type” setting to select either “Std” (standard
calculation) or “OnData” (French calculation) for the Q1 and Q3 calculation mode.
For details about calculation methods while “Std” or “OnData” is selected, see “Calculation
Methods for the Std and OnData Settings” below.
6-11
k Calculation Methods for the Std and OnData Settings
Q1 and Q3 can be calculated in accordance with the Setup screen’s “Q1Q3 Type” setting as
described below.
u Std
With this calculation method, processing depends on whether the number of elements n in the
population is an even number or odd number.
When the number of elements n is an even number:
Using the center point of the total population as the reference, the population elements are
divided into two groups: a lower half group and an upper half group. Q1 and Q3 then become
the values described below.
Q1 = {median of the group of
Q3 = {median of the group of
n
2
n
2
Center Point
1
2
3
items from the bottom of the population}
items from the top of the population}
Center Point
4
5
Center Point
6
7
8
4+5
= Median
2
2+3
= Q1
2
6+7
= Q3
2
When the number of elements n is an odd number:
Using the median of the total population as the reference, the population elements are divided
into two groups: a lower half group (values less than the median) and an upper half group
(values greater than the median). The median value is excluded. Q1 and Q3 then become the
values described below.
n–1
Q1 = {median of the group of
items from the bottom of the population}
2
n–1
Q3 = {median of the group of
items from the top of the population}
2
• When n = 1, Q1 = Q3 = population center point.
6-12
Center Point
1
2
Center Point
3
4
5
6
7
8
9
Median
2+3
= Q1
2
7+8
= Q3
2
u OnData
The Q1 and Q3 values for this calculation method are described below.
Q1 = {value of element whose cumulative frequency ratio is greater than 1/4 and nearest to
1/4}
Q3 = {value of element whose cumulative frequency ratio is greater than 3/4 and nearest to
3/4}
The following shows an actual example of the above.
(Number of Elements: 10)
Data Value
Frequency
Cumulative
Frequency
Cumulative
Frequency Ratio
1
1
1
1/10 = 0.1
2
1
2
2/10 = 0.2
3
2
4
4/10 = 0.4
4
3
7
7/10 = 0.7
5
1
8
8/10 = 0.8
6
1
9
9/10 = 0.9
7
1
10
10/10 = 1.0
• 3 is the value of whose cumulative frequency ratio is greater than 1/4 and nearest to 1/4, so
Q1 = 3.
• 5 is the value of whose cumulative frequency ratio is greater than 3/4 and nearest to 3/4, so
Q3 = 5.
Reference Point (0.25)
0.1
0.2
1
2
Reference Point (0.75)
0.4
3
3
4
4
Q1
0.7
0.8
0.9
1.0
4
5
6
7
Q3
6-13
3. Calculating and Graphing Paired-Variable
Statistical Data (Curve Fitting)
k Drawing a Scatter Diagram and xy Line Graph
The following procedure plots a scatter diagram and connects the dots to produce an xy line
graph.
1. From the Main Menu, enter the Statistics mode.
2. Input the data into a list.
3. Specify Scatter (scatter diagram) or xyLine (xy line graph) as the graph type, and then
execute the graph operation.
Press A, J or !J(QUIT) to return to the List Editor.
Example
Input the two sets of data shown below. Next, plot the data on a scatter
diagram and connect the dots to produce an xy line graph.
0.5, 1.2, 2.4, 4.0, 5.2 (xList)
–2.1, 0.3, 1.5, 2.0, 2.4 (yList)
1 m Statistics
2 a.fwb.cwc.ewewf.cwe
-c.bwa.dwb.fwcwc.ew
3 (Scatter diagram) 1(GRAPH)6(SET)c1(Scatter)J1(GRAPH1)
3 (xy line graph) 1(GRAPH)6(SET)c2(xyLine)J1(GRAPH1)
(xy line graph)
(Scatter diagram)
6-14
k Drawing a Regression Graph
Use the following procedure to input paired-variable statistical data, perform a regression
calculation using the data, and then graph the results.
1. From the Main Menu, enter the Statistics mode.
2. Input the data into a list, and plot the scatter diagram.
3. Select the regression type, execute the calculation, and display the regression parameters.
4. Draw the regression graph.
Example
Input the two sets of data shown below and plot the data on a scatter
diagram. Next, perform logarithmic regression on the data to display the
regression parameters, and then draw the corresponding regression
graph.
0.5, 1.2, 2.4, 4.0, 5.2 (xList)
–2.1, 0.3, 1.5, 2.0, 2.4 (yList)
1 m Statistics
2 a.fwb.cwc.ewewf.cwe
-c.bwa.dwb.fwcwc.ew
1(GRAPH)6(SET)c1(Scatter)J1(GRAPH1)
3 1(CALC)6(g)2(Log)
4 6(DRAW)
• You can perform trace on a regression graph. You cannot perform trace scroll.
k Selecting the Regression Type
After you graph paired-variable statistical data, you can use the function menu at the bottom of
the display to select from a variety of different types of regression.
• {ax+b}/{a+bx}/{Med}/{X2}/{X3}/{X4}/{Log}/{aebx}/{abx}/{Power}/{Sin}/{Logistic} ...
{linear regression (ax+b form)}/{linear regression (a+bx form)}/{Med-Med}/{quadratic
regression}/{cubic regression}/{quartic regression}/{logarithmic regression}/{exponential
regression (aebx form)}/{exponential regression (abx form)}/{power regression}/
{sinusoidal regression}/{logistic regression} calculation and graphing
• {2-VAR}... {paired-variable statistical results}
6-15
k Displaying Regression Calculation Results
Whenever you perform a regression calculation, the regression formula parameter (such
as a and b in the linear regression y = ax + b) calculation results appear on the display. The
regression formula parameter calculation results also appear as soon as you press 1(CALC)
and then a function key to select a regression type, while a graph is on the display.
The following parameters will also appear on the regression calculation result screen.
r .............. correlation coefficient (linear regression, logarithmic regression, exponential
regression, and power regression only)
r2 ............. coefficient of determination (except for Med-Med, sinusoidal regression, and
logistic regression)
MSe......... mean square error (except for Med-Med)
k Graphing Statistical Calculation Results
While the parameter calculation result is on the display, you can graph the displayed
regression formula by pressing 6(DRAW).
k Linear Regression Graph
Linear regression uses the method of least squares to plot a straight line that passes close to
as many data points as possible, and returns values for the slope and y-intercept (y-coordinate
when x = 0) of the line.
The graphic representation of this relationship is a linear regression graph.
1(CALC)2(X)
1(ax+b) or 2(a+bx)
6(DRAW)
The following is the linear regression model formula.
y = ax + b
a ............. regression coefficient (slope)
b ............. regression constant term (y-intercept)
y = a + bx
a ............. regression constant term (y-intercept)
b ............. regression coefficient (slope)
6-16
k Med-Med Graph
When it is suspected that there are a number of extreme values, a Med-Med graph can be
used in place of the least squares method. This is similar to linear regression, but it minimizes
the effects of extreme values.
1(CALC)3(Med)
6(DRAW)
The following is the Med-Med graph model formula.
y = ax + b
a .............. Med-Med graph slope
b .............. Med-Med graph y-intercept
k Quadratic/Cubic/Quartic Regression Graph
A quadratic/cubic/quartic regression graph represents connection of the data points of a
scatter diagram. It uses the method of least squares to draw a curve that passes close to
as many data points as possible. The formula that represents this is quadratic/cubic/quartic
regression.
Ex. Quadratic regression
1(CALC)4(X2)
6(DRAW)
Quadratic regression
Cubic regression
Model formula....... y = ax2 + bx + c
Model formula....... y = ax3 + bx2 + cx + d
a .......... regression second coefficient
b .......... regression first coefficient
c .......... regression constant term
(y-intercept)
a .......... regression third coefficient
b .......... regression second coefficient
c .......... regression first coefficient
d .......... regression constant term
(y-intercept)
Quartic regression
Model formula....... y = ax4 + bx3 + cx2 + dx + e
a .......... regression fourth coefficient
b .......... regression third coefficient
c .......... regression second coefficient
d .......... regression first coefficient
e .......... regression constant term (y-intercept)
6-17
k Logarithmic Regression Graph
Logarithmic regression expresses y as a logarithmic function of x. The standard logarithmic
regression formula is y = a + b × In x, so if we say that X = In x, the formula corresponds to
linear regression formula y = a + bX.
1(CALC)6(g)2(Log)
6(DRAW)
The following is the logarithmic regression model formula.
y = a + b·ln x
a .............. regression constant term
b .............. regression coefficient
k Exponential Regression Graph
Exponential regression expresses y as a proportion of the exponential function of x. The
standard exponential regression formula is y = a × ebx, so if we take the logarithms of both
sides we get In y = In a + bx. Next, if we say Y = In y, and A = In a, the formula corresponds to
linear regression formula Y = A + bx.
1(CALC)6(g)3(EXP)
1(aebx) or 2(abx)
6(DRAW)
The following is the exponential regression model formula.
y = a·ebx
a .............. regression coefficient
b .............. regression constant term
y = a·bx
a .............. regression constant term
b .............. regression coefficient
6-18
k Power Regression Graph
Power regression expresses y as a proportion of the power of x. The standard power
regression formula is y = a × xb, so if we take the logarithm of both sides we get In
y = In a + b × In x. Next, if we say X = In x, Y = In y, and A = In a, the formula corresponds to
linear regression formula Y = A + bX.
1(CALC)6(g)4(Power)
6(DRAW)
The following is the power regression model formula.
y = a·xb
a .............. regression coefficient
b .............. regression power
k Sinusoidal Regression Graph
Sinusoidal regression is best applied for cyclical data.
The following is the sinusoidal regression model formula.
y = a·sin(bx + c) + d
1(CALC)6(g)5(Sin)
6(DRAW)
Drawing a sine regression graph causes the angle unit setting of the calculator to automatically
change to Rad (radians). The angle unit does not change when you perform a sine regression
calculation without drawing a graph.
• Certain types of data may take a long time to calculate. This does not indicate malfunction.
6-19
k Logistic Regression Graph
Logistic regression is best applied for time-based phenomena in which there is a continual
increase until a saturation point is reached.
The following is the logistic regression model formula.
y=
c
1 + ae–bx
1(CALC)6(g)6(g)1(Logistic)
6(DRAW)
• Certain types of data may take a long time to calculate. This does not indicate malfunction.
k Residual Calculation
Actual plot points (y-coordinates) and regression model distance can be calculated during
regression calculations.
While the List Editor is on the display, recall the Setup screen to specify a LIST (“List 1”
through “List 26”) for “Resid List”. Calculated residual data is stored in the specified list.
The vertical distance from the plots to the regression model will be stored in the list.
Plots that are higher than the regression model are positive, while those that are lower are
negative.
Residual calculation can be performed and saved for all regression models.
Any data already existing in the selected list is cleared. The residual of each plot is stored in
the same precedence as the data used as the model.
6-20
k Displaying the Calculation Results of a Drawn Paired-Variable Graph
Paired-variable statistics can be expressed as both graphs and parameter values. When these
graphs are displayed, the paired-variable calculation results appear as shown below when you
press 1(CALC)1(2-VAR).
• Use c to scroll the list so you can view the items that run off the bottom of the screen.
o ........... mean of data stored in xList
Σy2 ........ sum of squares of data stored in yList
Σx ......... sum of data stored in xList
σy .......... population standard deviation of data
stored in yList
Σx2 ........ sum of squares of data stored in
xList
σx .......... population standard deviation of
data stored in xList
sy .......... sample standard deviation of data
stored in yList
Σxy ........ sum of the product of data stored in
xList and yList
sx .......... sample standard deviation of
data stored in xList
minX ...... minimum of data stored in xList
n ........... number of data
maxX ..... maximum of data stored in xList
p ............ mean of data stored in yList
minY ...... minimum of data stored in yList
Σy ......... sum of data stored in yList
maxY ..... maximum of data stored in yList
k Copying a Regression Graph Formula to the Graph Mode
You can copy regression formula calculation results to the Graph mode graph relation list, and
store and compare.
1. While a regression calculation result is on the display (see “Displaying Regression
Calculation Results” on page 6-16), press 5(COPY).
• This will display the Graph mode graph relation list.*1
2. Use f and c to highlight the area to which you want to copy the regression formula of
the displayed result.
3. Press w to save the copied graph formula and return to the previous regression calculation
result display.
*1 You cannot edit regression formulas for graph formulas in the Graph mode.
6-21
4. Performing Statistical Calculations
All of the statistical calculations up to this point were performed after displaying a graph. The
following procedures can be used to perform statistical calculations alone.
u To specify statistical calculation data lists
You have to input the statistical data for the calculation you want to perform and specify
where it is located before you start a calculation. Display the statistical data and then press
2(CALC)6(SET).
The following is the meaning for each item.
1Var XList ....... location of single-variable statistic x values (XList)
1Var Freq ........ location of single-variable frequency values (Frequency)
2Var XList ....... location of paired-variable statistic x values (XList)
2Var YList ....... location of paired-variable statistic y values (YList)
2Var Freq ........ location of paired-variable frequency values (Frequency)
• Calculations in this section are performed based on the above specifications.
k Single-Variable Statistical Calculations
In the previous example under “Displaying the Calculation Results of a Drawn Single-Variable
Graph”, statistical calculation results were displayed after the graph was drawn. These were
numeric expressions of the characteristics of variables used in the graphic display.
These values can also be directly obtained by displaying the
List Editor and pressing 2(CALC)1(1-VAR).
After this, pressing f or c scrolls the statistical calculation result display so you can view
variable characteristics.
For details on the meanings of these statistical values, see “Displaying the Calculation Results
of a Drawn Single-Variable Graph” (page 6-11).
6-22
k Paired-Variable Statistical Calculations
In the previous example under “Displaying the Calculation Results of a Drawn Paired-Variable
Graph”, statistical calculation results were displayed after the graph was drawn. These were
numeric expressions of the characteristics of variables used in the graphic display.
These values can also be directly obtained by displaying the
List Editor and pressing 2(CALC)2(2-VAR).
After this, pressing f or c scrolls the statistical calculation result display so you can view
variable characteristics.
For details on the meanings of these statistical values, see “Displaying the Calculation Results
of a Drawn Paired-Variable Graph” (page 6-21).
k Regression Calculation
In the explanations from “Linear Regression Graph” to “Logistic Regression Graph”, regression
calculation results were displayed after the graph was drawn. Here, each coefficient value of
the regression line or regression curve is expressed as a number.
You can directly determine the same expression from the data input screen.
Pressing 2(CALC)3(REG) displays a function menu, which contains the following items.
• {ax+b}/{a+bx}/{Med}/{X2}/{X3}/{X4}/{Log}/{aebx}/{abx}/{Power}/{Sin}/{Logistic} ...
{linear regression (ax+b form)}/{linear regression (a+bx form)}/{Med-Med}/{quadratic
regression}/{cubic regression}/{quartic regression}/{logarithmic regression}/{exponential
regression (aebx form)}/{exponential regression (abx form)}/{power regression}/
{sinusoidal regression}/{logistic regression} parameters
Example
To display single-variable regression parameters
2(CALC)3(REG)1(X)1(ax+b)
The meanings of the parameters that appear on this screen are the same as those for
“Displaying Regression Calculation Results” and “Linear Regression Graph” to “Logistic
Regression Graph”.
6-23
u Calculation of the Correlation Coefficient (r), Coefficient of Determination
(r2) and Mean Square Error (MSe)
After the regression formula parameters on the regression calculation result screen, the
following parameters also appear on the display. The parameters that appear depend on the
regression formula.
Correlation coefficient (r)
Displayed following: linear regression, logarithmic regression, exponential regression, or power
regression calculation.
Coefficient of determination (r2)
Displayed following: linear regression, quadratic regression, cubic regression, quartic
regression, logarithmic regression, exponential regression, power regression calculation.
Mean square error (MSe)
Displayed following any regression calculation except Med-Med.
Depending on the regression calculation type, mean square error (MSe) is obtained using the
following formulas.
• Linear Regression (ax + b) ............. MSe =
(a + bx)............. MSe =
• Quadratic Regression..................... MSe =
• Cubic Regression ........................... MSe =
• Quartic Regression ........................ MSe =
• Logarithmic Regression.................. MSe =
• Exponential Regression (a·ebx) ....... MSe =
(a·bx) ........ MSe =
1
n–2
n
Σ (y – (ax + b))
i
i
2
i=1
n
1
n–2
Σ (y – (a + bx ))
1
n–3
n
1
n–4
1
n–5
1
n–2
1
n–2
1
n–2
6-24
i
i
2
i=1
Σ (y – (ax
i
2
i
+ bxi + c))2
i=1
n
Σ (y – (ax + bx + cx + d ))
3
i
i
i
2
i
2
i=1
n
Σ (y – (ax + bx
4
i
i
3
i
+ cxi2 + dxi + e))2
i=1
n
Σ (y – (a + b ln x ))
i
2
i
i=1
n
Σ (ln y – (ln a + bx ))
i
i
2
i=1
n
Σ (ln y – (ln a + (ln b) · x ))
i
i=1
i
2
• Power Regression .......................... MSe =
• Sin Regression ............................... MSe =
• Logistic Regression ........................ MSe =
1
n–2
1
n–2
1
n–2
n
Σ (ln y – (ln a + b ln x ))
i
i
2
i=1
n
Σ (y – (a sin (bx + c) + d ))
i
2
i
i=1
n
Σ
i=1
C
yi –
1 + ae–bxi
2
u Estimated Value Calculation for Regression Graphs
The Statistics mode also includes a Y-CAL function that uses regression to calculate the
estimated y-value for a particular x-value after graphing a paired-variable statistical
regression.
The following is the general procedure for using the Y-CAL function.
1. After drawing a regression graph, press !5(G-SOLVE)1(Y-CAL) to enter the graph
selection mode, and then press w.
If there are multiple graphs on the display, use f and c to select the graph you want,
and then press w.
• This causes an x-value input dialog box to appear.
2. Input the value you want for x and then press w.
• This causes the coordinates for x and y to appear at
the bottom of the display, and moves the pointer to the
corresponding point on the graph.
3. Pressing v or a number key at this time causes the x-value input dialog box to reappear
so you can perform another estimated value calculation if you want.
• The pointer does not appear if the calculated coordinates are not within the display range.
• The coordinates do not appear if “Off” is specified for the “Coord” item of the Setup screen.
6-25
u Regression Formula Copy Function from a Regression Calculation Result
Screen
In addition to the normal regression formula copy function that lets you copy the regression
calculation result screen after drawing a statistical graph (such as Scatter Plot), the Statistics
mode also has a function that lets you copy the regression formula obtained as the result of a
regression calculation. To copy a resulting regression formula, press 6(COPY).
k Estimated Value Calculation ( , )
After drawing a regression graph with the Statistics mode, you can use the Run-Matrix mode
to calculate estimated values for the regression graph’s x and y.
Example
To perform a linear regression using the nearby data and estimate the
values of and x when xi = 20 and yi = 1000
xi
yi
10
15
20
25
30
1003
1005
1010
1011
1014
1. From the Main Menu, enter the Statistics mode.
2. Input data into the list and draw the linear regression graph.
3. From the Main Menu, enter the Run-Matrix mode.
4. Press the keys as follows.
ca(value of xi)
K5(STAT)2()w
The estimated value is displayed for xi = 20.
baaa(value of yi)
1(xˆ )w
The estimated value xˆ is displayed for yi = 1000.
• You cannot obtain estimated values for a Med-Med, quadratic regression, cubic regression,
quartic regression, sinusoidal regression, or logistic regression graph.
6-26
k Normal Probability Distribution Calculation
You can calculate normal probability distributions for single-variable statistics with the
Run-Matrix mode.
Press K6(g)3(PROB)6(g) to display a function menu, which contains the following
items.
• {P(}/{Q(}/{R(} ... obtains normal probability {P(t)}/{Q(t)}/{R(t)} value
• {t(} ... {obtains normalized variate t(x) value}
• Normal probability P(t), Q(t), and R(t), and normalized variate t(x) are calculated using the
following formulas.
Standard Normal Distribution
P (t)
Q (t)
0 t
R (t)
0 t
0 t
σx
Example
The following table shows the results of measurements of the height of
20 college students. Determine what percentage of the students fall in
the range 160.5 cm to 175.5 cm. Also, in what percentile does the 175.5
cm tall student fall?
Class no. Height (cm) Frequency
Class no. Height (cm) Frequency
1
158.5
1
6
173.3
4
2
160.5
1
7
175.5
2
3
163.3
2
8
178.6
2
4
167.5
2
9
180.4
2
5
170.2
3
10
186.7
1
6-27
1. From the Main Menu, enter the Statistics mode.
2. Input the height data into List 1 and the frequency data into List 2.
3. Perform the single-variable statistical calculations.
You can obtain the normalized variate immediately after
performing single-variable statistical calculations only.
2(CALC)6(SET)
1(LIST)bw
c2(LIST)cw!J(QUIT)
2(CALC)1(1-VAR)
4. Press m, select the Run-Matrix mode, press K6(g)3(PROB) to recall the
probability calculation (PROB) menu.
3(PROB)6(g)4(t() bga.f)w
(Normalized variate t for 160.5 cm)
Result: –1.633855948
( –1.634)
4(t() bhf.f)w
(Normalized variate t for 175.5 cm)
Result: 0.4963343361
( 0.496)
1(P()a.ejg)1(P()-b.gde)w
(Percentage of total)
Result:
0.638921
(63.9% of total)
3(R()a.ejg)w
(Percentile)
Result:
0.30995
(31.0 percentile)
6-28
k Drawing a Normal Probability Distribution Graph
You can draw a normal probability distribution graph using manual graphing with the
Run-Matrix mode.
1. From the Main Menu, enter the Run-Matrix mode.
2. Input the commands to draw a rectangular coordinate graph.
3. Input the probability value.
Example
To draw a normal probability P (0.5) graph.
1 m Run-Matrix
!m(SET UP)2(Line)J
2 !4(SKETCH)1(Cls)w
5(GRAPH)1(Y=)
3 K6(g)3(PROB)6(g)1(P()a.f)w
k Calculations Using the Distribution Function
You can use special functions in the Run-Matrix mode or Program mode to perform
calculations that are the same as the Statistics mode distribution function calculation (page
6-49).
Example
To calculate normal probability distribution in the Run-Matrix mode for
the data {1, 2, 3}, when the population standard deviation is σ = 1.5 and
the population mean is = 2.
1. From the Main Menu, enter the Run-Matrix mode.
2. Press the keys as follows.
!m(SET UP)2(Line)J
K5(STAT)3(DIST)1(NORM)
1(Npd)!*( { )b,c,d
!/( } ),b.f,c)w
• For details about what you can do with the distribution function and its syntax, see
“Performing Distribution Calculations in a Program” (page 8-41).
6-29
k Determining Sample Standard Deviation and Sample Variance from List
Data
You can use functions to determine sample standard deviation and sample variance for
specified list data. This calculation is performed in the Run-Matrix mode. You can perform
calculations using data you saved to a list (List 1 to List 26) with the Statistics mode List
Editor or list data you input directly on the Run-Matrix mode screen.
Syntax
StdDev(List n [,List m])
Variance(List n [,List m])
List n........Sample data
List m.......Frequency data
Example
To store the x-data below in List 1, the frequency values in List 2, and
determine the sample standard deviation and sample variance
x
60
70
80
90
Frequency
3
5
4
1
1. From the Main Menu, enter the Statistics mode.
2. Use the List Editor to store the above data.
3. From the Main Menu, enter the Run-Matrix mode.
4. Press the keys as follows.
K5(STAT)4(StdDev)J
1(LIST)1(List)b,1(List)c)w
J5(STAT)5(Var)J
1(LIST)1(List)b,1(List)c)w
6-30
k Calculations Using the TEST Command
You can use special functions in the Run-Matrix mode or Program mode to perform
calculations that are the same as the Statistics mode Z Test, t Test, and other test calculations
(page 6-32).
Example
To determine the z score and p-value when a one-sample Z test is
performed under the conditions below:
test condition ( condition) ≠ 0*, assumed population mean 0 = 0,
population standard deviation = 1, sample mean o = 1, number of
samples n = 2
* “ condition ≠ 0” can be specified by entering 0 as the initial argument of
the one-sample Z test command “OneSampleZTest”.
1. From the Main Menu, enter the Run-Matrix mode.
2. Perform the following key operation.
!m(SET UP)2(Line)J
K5(STAT)6(g)1(TEST)1(Z)
1(1-Sample)a,a,b,b
,cw
JJJ
1(LIST)1(List)!-(Ans)w
The following calculation results are displayed as ListAns elements 1 through 4.
1: z score
2: p-value
3: o
4: n
• For details about the function of the supported TEST command and their syntax, see “Using
the TEST Command to Execute a Command in a Program” (page 8-45).
6-31
5. Tests
The Z Test provides a variety of different standardization-based tests. They make it possible to
test whether or not a sample accurately represents the population when the standard deviation
of a population (such as the entire population of a country) is known from previous tests. Z
testing is used for market research and public opinion research, that need to be performed
repeatedly.
1-Sample Z Test tests for the unknown population mean when the population standard
deviation is known.
2-Sample Z Test tests the equality of the means of two populations based on independent
samples when both population standard deviations are known.
1-Prop Z Test tests for an unknown proportion of successes.
2-Prop Z Test tests to compare the proportion of successes from two populations.
The t Test tests the hypothesis when the population standard deviation is unknown. The
hypothesis that is the opposite of the hypothesis being proven is called the null hypothesis,
while the hypothesis being proved is called the alternative hypothesis. The t Test is normally
applied to test the null hypothesis. Then a determination is made whether the null hypothesis
or alternative hypothesis will be adopted.
1-Sample t Test tests the hypothesis for a single unknown population mean when the
population standard deviation is unknown.
2-Sample t Test compares the population means when the population standard deviations are
unknown.
LinearReg t Test calculates the strength of the linear association of paired data.
With the χ2 test, a number of independent groups are provided and a hypothesis is tested
relative to the probability of samples being included in each group.
The χ2 GOF test (χ2 one-way Test) tests whether the observed count of sample data fits
a certain distribution. For example, it can be used to determine conformance with normal
distribution or binomial distribution.
The χ2 two-way test creates a cross-tabulation table that structures mainly two qualitative
variables (such as “Yes” and “No”), and evaluates the independence of the variables.
2-Sample F Test tests the hypothesis for the ratio of sample variances. It could be used, for
example, to test the carcinogenic effects of multiple suspected factors such as tobacco use,
alcohol, vitamin deficiency, high coffee intake, inactivity, poor living habits, etc.
ANOVA tests the hypothesis that the population means of the samples are equal when
there are multiple samples. It could be used, for example, to test whether or not different
combinations of materials have an effect on the quality and life of a final product.
One-Way ANOVA is used when there is one independent variable and one dependent
variable.
Two-Way ANOVA is used when there are two independent variables and one dependent
variable.
6-32
The following pages explain various statistical calculation methods based on the principles
described above. Details concerning statistical principles and terminology can be found in any
standard statistics textbook.
On the initial Statistics mode screen, press 3(TEST) to display the test menu, which
contains the following items.
• 3(TEST)1(Z) ... Z Tests (below)
2(t) ... t Tests (page 6-36)
3(CHI) ... χ2 Test (page 6-39)
4(F) ... 2-Sample F Test (page 6-41)
5(ANOVA) ... ANOVA (page 6-42)
After setting all the parameters, use c to move the highlighting to “Execute” and then press
one of the function keys shown below to perform the calculation or draw the graph.
• 1(CALC) ... Performs the calculation.
• 6(DRAW) ... Draws the graph.
k Test Common Functions
• You can use the procedure below to specify the graph line color before graphing test
calculation results.
1. Display the Z-test, t-test, χ2 Test, 2-Sample F Test, or Two-Way ANOVA screen.
• To display the 1-Sample Z Test input screen, for example, display the List Editor and then
press 3(TEST)1(Z)1(1-SAMPLE).
2. Move the highlighting to “GphColor” and then press 1(COLOR).
3. On the color selection dialog box that appears, use the cursor keys to move the
highlighting to the desired color and then press w.
• V-Window settings are automatically optimized for drawing the graph.
k Z Tests
u Z Test Common Functions
You can use the following graph analysis functions after drawing a Z Test result output graph.
• 1(Z) ... Displays z score.
Pressing 1(Z) displays the z score at the bottom of the display, and displays the pointer at
the corresponding location in the graph (unless the location is off the graph screen).
Two points are displayed in the case of a two-tail test. Use d and e to move the pointer.
• 2(P) ... Displays p-value.
Pressing 2(P) displays the p-value at the bottom of the display without displaying the pointer.
• Executing an analysis function automatically stores the z and p values in alpha variables Z
and P, respectively.
6-33
u 1-Sample Z Test
This test is used when the population standard deviation is known to test the hypothesis. The
1-Sample Z Test is applied to the normal distribution.
Perform the following key operations from the List Editor.
3(TEST)
1(Z)
1(1-SAMPLE)
The following shows the parameter data specification items that are different from list data
specification.
Calculation Result Output Example
μ≠11.4 .......... direction of test
sx .................. Displayed only for Data:List setting.
• [Save Res] does not save the μ condition in line 2.
u 2-Sample Z Test
This test is used when the standard deviations for two populations are known to test the
hypothesis. The 2-Sample Z Test is applied to the normal distribution.
Perform the following key operations from the List Editor.
3(TEST)
1(Z)
2(2-SAMPLE)
6-34
The following shows the parameter data specification items that are different from list data
specification.
Calculation Result Output Example
μ1≠μ2 ............ direction of test
sx1 ................ Displayed only for Data:List setting.
sx2 ................ Displayed only for Data:List setting.
• [Save Res] does not save the μ1 condition in line 2.
u 1-Prop Z Test
This test is used to test for an unknown proportion of successes. The 1-Prop Z Test is applied
to the normal distribution.
Perform the following key operations from the List Editor.
3(TEST)
1(Z)
3(1-PROP)
Calculation Result Output Example
Prop≠0.5 ....... direction of test
• [Save Res] does not save the Prop condition in line 2.
6-35
u 2-Prop Z Test
This test is used to compare the proportion of successes. The 2-Prop Z Test is applied to the
normal distribution.
Perform the following key operation from the List Editor.
3(TEST)
1(Z)
4(2-PROP)
Calculation Result Output Example
p1>p2 ............ direction of test
• [Save Res] does not save the p1 condition in line 2.
k t Tests
u t Test Common Functions
You can use the following graph analysis functions after drawing a t Test result output graph.
• 1(T) ... Displays t score.
Pressing 1(T) displays the t score at the bottom of the display, and displays the pointer at the
corresponding location in the graph (unless the location is off the graph screen).
Two points are displayed in the case of a two-tail test. Use d and e to move the pointer.
• 2(P) ... Displays p-value.
Pressing 2(P) displays the p-value at the bottom of the display without displaying the pointer.
• Executing an analysis function automatically stores the t and p values in alpha variables T
and P, respectively.
6-36
u 1-Sample t Test
This test uses the hypothesis test for a single unknown population mean when the population
standard deviation is unknown. The 1-Sample t Test is applied to t distribution.
Perform the following key operations from the List Editor.
3(TEST)
2(t)
1(1-SAMPLE)
The following shows the parameter data specification items that are different from list data
specification.
Calculation Result Output Example
μ≠11.3 .......... direction of test
• [Save Res] does not save the μ condition in line 2.
u 2-Sample t Test
2-Sample t Test compares the population means when the population standard deviations are
unknown. The 2-Sample t Test is applied to t distribution.
Perform the following key operations from the List Editor.
3(TEST)
2(t)
2(2-SAMPLE)
6-37
The following shows the parameter data specification items that are different from list data
specification.
Calculation Result Output Example
μ1≠μ2 ............ direction of test
sp ................. Displayed only when Pooled:On setting.
• [Save Res] does not save the μ1 condition in line 2.
u LinearReg t Test
LinearReg t Test treats paired-variable data sets as (x, y) pairs, and uses the method of least
squares to determine the most appropriate a, b coefficients of the data for the regression
formula y = a + bx. It also determines the correlation coefficient and t score, and calculates the
extent of the relationship between x and y.
Perform the following key operations from the List Editor.
3(TEST)
2(t)
3(REG)
Calculation Result Output Example
β≠0 & ρ≠0 ......... direction of test
6-38
Pressing 6(COPY) while a calculation result is on the display copies the regression formula
to the graph relation list.
When there is a list specified for the [Resid List] item on the Setup screen, regression formula
residual data is automatically saved to the specified list after the calculation is finished.
• You cannot draw a graph for LinearReg t Test.
• [Save Res] does not save the β & ρ conditions in line 2.
• When the list specified by [Save Res] is the same list specified by the [Resid List] item on the
Setup screen, only [Resid List] data is saved in the list.
k 2 Test
• 2 Test Common Functions
You can use the following graph analysis functions after drawing a graph.
• 1(CHI) ... Displays χ2 value.
Pressing 1(CHI) displays the χ2 value at the bottom of the display, and displays the pointer at
the corresponding location in the graph (unless the location is off the graph screen).
• 2(P) ... Displays p-value.
Pressing 2(P) displays the p-value at the bottom of the display without displaying the pointer.
• Executing an analysis function automatically stores the χ2 and p values in alpha variables C
and P, respectively.
• 2 GOF Test (2 one-way Test)
The χ2 GOF Test (2 one-way test) tests whether the frequency of sample data fits a certain
distribution. For example, it can be used to determine conformance with normal distribution or
binomial distribution.
Perform the following key operations from the List Editor.
3(TEST)
3(CHI)
1(GOF)
6-39
Next, specify the lists that contain the data. The following shows the meaning of the above
items.
Observed ...... name of list (1 to 26) that contains observed counts (all cells positive
integers)
Expected ....... name of list (1 to 26) that is for saving expected frequency
CNTRB ......... Specifies a list (List 1 to List 26) as the storage location of the contribution
of each observed count obtained as calculation results.
Calculation Result Output Examples
CNTRB ......... list for output of contribution values
• 2 two-way Test
χ2 two-way Test sets up a number of independent groups and tests hypothesis related to
the proportion of the sample included in each group. The χ2 Test is applied to dichotomous
variables (variable with two possible values, such as yes/no).
Perform the following key operations from the List Editor.
3(TEST)
3(CHI)
2(2WAY)
Next, specify the matrix that contains the data. The following shows the meaning of the above
items.
Observed ...... name of matrix (A to Z) that contains observed counts (all cells positive
integers)
Expected ....... name of matrix (A to Z) that is for saving expected frequency
Calculation Result Output Example
6-40
• The matrix must be at least two lines by two columns. An error occurs if the matrix has only
one line or one column.
• Pressing 1(Mat) while the “Observed” and “Expected” parameter settings are highlighted
will display the Matrix (A to Z) setting screen.
• Pressing 2('MAT) while setting parameters enters the Matrix Editor, which you can use to
edit and view the contents of matrices.
• Pressing 6('MAT) while a calculation result is displayed enters the Matrix Editor, which
you can use to edit and view the contents of matrices.
k 2-Sample F Test
2-Sample F Test tests the hypothesis for the ratio of sample variances. The F Test is applied
to the F distribution.
Perform the following key operations from the List Editor.
3(TEST)
4(F)
The following shows the parameter data specification items that are different from list data
specification.
Calculation Result Output Example
σ1≠σ2 ............ direction of test
x¯ 1 .................. Displayed only for Data:List setting.
x¯ 2 .................. Displayed only for Data:List setting.
6-41
You can use the following graph analysis functions after drawing a graph.
• 1(F) ... Displays F value.
Pressing 1(F) displays the F value at the bottom of the display, and displays the pointer at
the corresponding location in the graph (unless the location is off the graph screen).
Two points are displayed in the case of a two-tail test. Use d and e to move the pointer.
• 2(P) ... Displays p-value.
Pressing 2(P) displays the p-value at the bottom of the display without displaying the pointer.
• Executing an analysis function automatically stores the F and p values in variables F and P,
respectively.
• [Save Res] does not save the σ1 condition in line 2.
k ANOVA
ANOVA tests the hypothesis that the population means of the samples are equal when there
are multiple samples.
One-Way ANOVA is used when there is one independent variable and one dependent
variable.
Two-Way ANOVA is used when there are two independent variables and one dependent
variable.
Perform the following key operations from the List Editor.
3(TEST)
5(ANOVA)
The following is the meaning of each item in the case of list data specification.
How Many ..... selects One-Way ANOVA or Two-Way ANOVA (number of levels)
Factor A ........ list to be used for category data (List 1 to 26)
Dependnt ...... list to be used for sample data (List 1 to 26)
Save Res ...... first list for storage of calculation results (None or List 1 to 22)*1
Execute ......... executes a calculation or draws a graph (Two-Way ANOVA only)
*1 [Save Res] saves each vertical column of the table into its own list. The leftmost column
is saved in the specified list, and each subsequent column to the right is saved in the next
sequentially numbered list. Up to five lists can be used for storing columns. You can specify
an first list number in the range of 1 to 22.
6-42
The following item appears in the case of Two-Way ANOVA only.
Factor B ........ list to be used for category data (List 1 to 26)
GphColor ...... specifies the graph line color (page 6-33)
After setting all the parameters, use c to move the highlighting to “Execute” and then press
one of the function keys shown below to perform the calculation or draw the graph.
• 1(CALC) ... Performs the calculation.
• 6(DRAW) ... Draws the graph (Two-Way ANOVA only).
Calculation results are displayed in table form, just as they appear in science books.
Calculation Result Output Example
One-Way ANOVA
Line 1 (A) .......... Factor A df value, SS value, MS value, F value, p-value
Line 2 (ERR) ..... Error df value, SS value, MS value
Two-Way ANOVA
Line 1 (A) .......... Factor A df value, SS value, MS value, F value, p-value
Line 2 (B) .......... Factor B df value, SS value, MS value, F value, p-value
Line 3 (AB) ........ Factor A × Factor B df value, SS value, MS value, F value, p-value
* Line 3 does not appear when there is only one observation in each
cell.
Line 4 (ERR) ..... Error df value, SS value, MS value
F ...................... F value
p ....................... p-value
df ..................... degrees of freedom
SS ..................... sum of squares
MS ................... mean squares
With Two-Way ANOVA, you can draw Interaction Plot graphs. The number of graphs depends
on Factor B, while the number of X-axis data depends on the Factor A. The Y-axis is the
average value of each category.
You can use the following graph analysis function after drawing a graph.
• 1(Trace) or !1(TRACE) ... Trace function
Pressing d or e moves the pointer on the graph in the corresponding direction. When there
are multiple graphs, you can move between graphs by pressing f and c.
6-43
• Graphing is available with Two-Way ANOVA only. V-Window settings are performed
automatically, regardless of Setup screen settings.
• Using the Trace function automatically stores the number of conditions to variable A and the
mean value to variable M, respectively.
k ANOVA (Two-Way)
u Description
The nearby table shows measurement results for a metal product produced by a heat
treatment process based on two treatment levels: time (A) and temperature (B). The
experiments were repeated twice each under identical conditions.
B (Heat Treatment Temperature)
A (Time)
B1
B2
A1
113 ,
116 139 ,
132
A2
133 ,
131 126 ,
122
Perform analysis of variance on the following null hypothesis, using a significance level of 5%.
Ho : No change in strength due to time
Ho : No change in strength due to heat treatment temperature
Ho : No change in strength due to interaction of time and heat treatment temperature
u Solution
Use Two-Way ANOVA to test the above hypothesis.
Input the above data as shown below.
List1={1,1,1,1,2,2,2,2}
List2={1,1,2,2,1,1,2,2}
List3={113,116,139,132,133,131,126,122}
Define List 3 (the data for each group) as Dependent. Define List 1 and List 2 (the factor
numbers for each data item in List 3) as Factor A and Factor B respectively.
Executing the test produces the following results.
• Time differential (A) level of significance P = 0.2458019517
The level of significance (p = 0.2458019517) is greater than the significance level (0.05), so
the hypothesis is not rejected.
• Temperature differential (B) level of significance P = 0.04222398836
The level of significance (p = 0.04222398836) is less than the significance level (0.05), so the
hypothesis is rejected.
• Interaction (A × B) level of significance P = 2.78169946e-3
The level of significance (p = 2.78169946e-3) is less than the significance level (0.05), so the
hypothesis is rejected.
6-44
The above test indicates that the time differential is not significant, the temperature differential
is significant, and interaction is highly significant.
u Input Example
u Results
6-45
6. Confidence Interval
A confidence interval is a range (interval) that includes a statistical value, usually the
population mean.
A confidence interval that is too broad makes it difficult to get an idea of where the population
value (true value) is located. A narrow confidence interval, on the other hand, limits the
population value and makes it difficult to obtain reliable results. The most commonly used
confidence levels are 95% and 99%. Raising the confidence level broadens the confidence
interval, while lowering the confidence level narrows the confidence level, but it also
increases the chance of accidently overlooking the population value. With a 95% confidence
interval, for example, the population value is not included within the resulting intervals 5% of
the time.
When you plan to conduct a survey and then t test and Z test the data, you must also consider
the sample size, confidence interval width, and confidence level. The confidence level changes
in accordance with the application.
1-Sample Z Interval calculates the confidence interval for an unknown population mean when
the population standard deviation is known.
2-Sample Z Interval calculates the confidence interval for the difference between two
population means when the population standard deviations of two samples are known.
1-Prop Z Interval calculates the confidence interval for an unknown proportion of successes.
2-Prop Z Interval calculates the confidence interval for the difference between the proportion
of successes in two populations.
1-Sample t Interval calculates the confidence interval for an unknown population mean when
the population standard deviation is unknown.
2-Sample t Interval calculates the confidence interval for the difference between two
population means when both population standard deviations are unknown.
On the initial Statistics mode screen, press 4(INTR) to display the confidence interval
menu, which contains the following items.
• 4(INTR)1(Z) ... Z intervals (page 6-47)
2(t) ... t intervals (page 6-48)
After setting all the parameters, use c to move the highlighting to “Execute” and then press
the function key shown below to perform the calculation.
• 1(CALC) ... Performs the calculation.
• There is no graphing for confidence interval functions.
6-46
u General Confidence Interval Precaution
Inputting a value in the range of 0 < C-Level < 1 for the C-Level setting sets a value you input.
Inputting a value in the range of 1 < C-Level < 100 sets a value equivalent to your input divided
by 100.
k Z Interval
u 1-Sample Z Interval
1-Sample Z Interval calculates the confidence interval for an unknown population mean when
the population standard deviation is known.
Perform the following key operations from the List Editor.
4(INTR)
1(Z)
1(1-SAMPLE)
The following shows the parameter data specification items that are different from list data
specification.
Calculation Result Output Example
u 2-Sample Z Interval
2-Sample Z Interval calculates the confidence interval for the difference between two
population means when the population standard deviations of two samples are known.
Perform the following key operations from the List Editor.
4(INTR)
1(Z)
2(2-SAMPLE)
6-47
u 1-Prop Z Interval
1-Prop Z Interval uses the number of data to calculate the confidence interval for an unknown
proportion of successes.
Perform the following key operations from the List Editor.
4(INTR)
1(Z)
3(1-PROP)
Data is specified using parameter specification.
Calculation Result Output Example
u 2-Prop Z Interval
2-Prop Z Interval uses the number of data items to calculate the confidence interval for the
defference between the proportion of successes in two populations.
Perform the following key operations from the List Editor.
4(INTR)
1(Z)
4(2-PROP)
k t Interval
u 1-Sample t Interval
1-Sample t Interval calculates the confidence interval for an unknown population mean when
the population standard deviation is unknown.
Perform the following key operations from the List Editor.
4(INTR)
2(t)
1(1-SAMPLE)
6-48
The following shows the parameter data specification items that are different from list data
specification.
Calculation Result Output Example
u 2-Sample t Interval
2-Sample t Interval calculates the confidence interval for the difference between two
population means when both population standard deviations are unknown. The t interval is
applied to t distribution.
Perform the following key operations from the List Editor.
4(INTR)
2(t)
2(2-SAMPLE)
7. Distribution
There is a variety of different types of distribution, but the most well-known is “normal
distribution”, which is essential for performing statistical calculations. Normal distribution
is a symmetrical distribution centered on the greatest occurrences of mean data (highest
frequency), with the frequency decreasing as you move away from the center. Poisson
distribution, geometric distribution, and various other distribution shapes are also used,
depending on the data type.
Certain trends can be determined once the distribution shape is determined. You can calculate
the probability of data taken from a distribution being less than a specific value.
For example, distribution can be used to calculate the yield rate when manufacturing some
product. Once a value is established as the criteria, you can calculate normal probability when
estimating what percent of the products meet the criteria. Conversely, a success rate target
(80% for example) is set up as the hypothesis, and normal distribution is used to estimate the
proportion of the products will reach this value.
6-49
Normal probability density calculates the probability density of normal distribution from a
specified x value.
Normal cumulative distribution calculates the probability of normal distribution data falling
between two specific values.
Inverse normal cumulative distribution calculates a value that represents the location within
a normal distribution for a specific cumulative probability.
Student-t probability density calculates t probability density from a specified x value.
Student-t cumulative distribution calculates the probability of t distribution data falling
between two specific values.
Inverse Student-t cumulative distribution calculates the lower bound value of a Student-t
cumulative probability density for a specified percentage.
Like t distribution, probability density (or probability), cumulative distribution and inverse
cumulative distribution can also be calculated for χ2, F, Binomial, Poisson, Geometric and
Hypergeometric distributions.
On the initial Statistics mode screen, press 5(DIST) to display the distribution menu, which
contains the following items.
• 5(DIST)1(NORM) ... Normal distribution (page 6-51)
2(t) ... Student-t distribution (page 6-53)
3(CHI) ... χ2 distribution (page 6-54)
4(F) ... F distribution (page 6-56)
5(BINOMIAL) ... Binomial distribution (page 6-57)
6(g)1(POISSON) ... Poisson distribution (page 6-59)
6(g)2(GEO) ... Geometric distribution (page 6-61)
6(g)3(HYPRGEO) ... Hypergeometric distribution (page 6-63)
After setting all the parameters, use c to move the highlighting to “Execute” and then press
one of the function keys shown below to perform the calculation or draw the graph.
• 1(CALC) ... Performs the calculation.
• 6(DRAW) ... Draws the graph.
k Common Distribution Functions
• Before drawing the graph of a distribution calculation result, you can use the procedure
below to specify the graph line color (when Data:Variable only).
1. Display the distribution input screen.
• To display the normal probability density input screen, for example, display the List Editor
and then press 5(DIST)1(NORM)1(Npd).
2. Move the highlighting to “GphColor” and then press 1(COLOR).
3. On the color selection dialog box that appears, use the cursor keys to move the
highlighting to the desired color and then press w.
6-50
• V-Window settings for graph drawing are set automatically when the Setup screen’s “Stat
Wind” setting is “Auto”. Current V-Window settings are used for graph drawing when the “Stat
Wind” setting is “Manual”.
• After drawing a graph, you can use the P-CAL function to calculate an estimated p-value for
a particular x value. The P-CAL function can be used only after a Normal Probability Density,
Student-t Probability Density, 2 Probability Density, or F Probability Density graph is drawn.
The following is the general procedure for using the P-CAL function.
1. After drawing a distribution graph, press !5(G-SOLVE) 1(P-CAL) to display the x
value input dialog box.
2. Input the value you want for x and then press w.
• This causes the x and p values to appear at the bottom of the display, and moves the
pointer to the corresponding point on the graph.
3. Pressing v or a number key at this time causes the x value input dialog box to reappear
so you can perform another estimated value calculation if you want.
4. After you are finished, press J to clear the coordinate values and the pointer from the
display.
• Executing an analysis function automatically stores the x and p values in variables X and P,
respectively.
k Normal Distribution
5(DIST)1(NORM)1(Npd)
• Normal Probability Density
Normal Probability Density calculates the probability
density (p) for a specified single x-value or a list. When a
list is specified, calculation results for each list element are
displayed in list form.
• Normal probability density is applied to standard normal distribution.
• Specifying = 1 and = 0 specifies standard normal distribution.
Calculation Result Output Examples
When a list is specified
Graph when an x-value is specified
• Graphing is supported only when a variable is specified and a single x-value is entered as
data.
6-51
5(DIST)1(NORM)2(Ncd)
• Normal Cumulative Distribution
Normal Cumulative Distribution calculates the normal
cumulative probability of a normal distribution between a
lower bound and an upper bound.
Calculation Result Output Examples
When a list is specified
Graph when an x-value is specified
• Graphing is supported only when a variable is specified and a single x-value is entered as
data.
5(DIST)1(NORM)3(InvN)
• Inverse Normal Cumulative Distribution
Inverse Normal Cumulative Distribution calculates the
boundary value(s) of a normal cumulative distribution
probability for specified values.
Area: probability value
(0 < Area < 1)
Inverse cumulative normal distribution calculates a value that represents the location within a
normal distribution for a specific cumulative probability.
∫
Upper
−∞
∫
f (x)dx = p
f (x)dx = p
Lower
Tail:Right
Tail:Left
upper boundary
of integration
interval
+∞
lower boundary
of integration
interval
∫
Upper
f (x)dx = p
Lower
Tail:Central
upper and lower
boundaries of
integration interval
Specify the probability and use this formula to obtain the integration interval.
• This calculator performs the above calculation using the following: ∞ = 1E99, –∞ = –1E99
• There is no graphing for Inverse Normal Cumulative Distribution.
6-52
k Student-t Distribution
• Student-t Probability Density
5(DIST)2(t)1(tpd)
Student-t Probability Density calculates the probability
density (p) for a specified single x-value or a list. When a
list is specified, calculation results for each list element are
displayed in list form.
Calculation Result Output Examples
When a list is specified
Graph when variable (x) is specified
• Graphing is supported only when a variable is specified and a single x-value is entered as
data.
• Student-t Cumulative Distribution
5(DIST)2(t)2(tcd)
Student-t Cumulative Distribution calculates the Student-t
cumulative probability of a Student-t distribution between a
lower bound and an upper bound.
Calculation Result Output Examples
When a list is specified
Graph when variable (x) is specified
• Graphing is supported only when a variable is specified and a single x-value is entered as
data.
6-53
• Inverse Student-t Cumulative Distribution
5(DIST)2(t)3(Invt)
Inverse Student-t Cumulative Distribution calculates the
lower bound value of a Student-t cumulative distribution for
a specified df (degrees of freedom) value.
Calculation Result Output Examples
When a list is specified
When variable (x) is specified
• There is no graphing for Inverse Student-t Cumulative Distribution.
k 2 Distribution
• 2 Probability Density
5(DIST)3(CHI)1(Cpd)
2 Probability Density calculates the 2 probability density
(p) for a specified single x-value or a list. When a list is
specified, calculation results for each list element are
displayed in list form.
Calculation Result Output Examples
When a list is specified
Graph when variable (x) is specified
• Graphing is supported only when a variable is specified and a single x-value is entered as
data.
6-54
• 2 Cumulative Distribution
5(DIST)3(CHI)2(Ccd)
2 Cumulative Distribution calculates the cumulative
probability of a 2 distribution between a lower bound and
an upper bound.
Calculation Result Output Examples
Graph when variable (x) is specified
When a list is specified
• Graphing is supported only when a variable is specified and a single x-value is entered as
data.
• Inverse 2 Cumulative Distribution
5(DIST)3(CHI)3(InvC)
Inverse Cumulative Distribution calculates the lower
bound value of a 2 cumulative distribution probability for a
specified df (degrees of freedom) value.
2
Calculation Result Output Examples
When a list is specified
When variable (x) is specified
• There is no graphing for Inverse 2 Cumulative Distribution.
6-55
k F Distribution
• F Probability Density
5(DIST)4(F)1(Fpd)
F Probability Density calculates the F probability density
(p) for a specified single x-value or a list. When a list is
specified, calculation results for each list element are
displayed in list form.
Calculation Result Output Examples
When a list is specified
Graph when variable (x) is specified
• Graphing is supported only when a variable is specified and a single x-value is entered as
data.
• F Cumulative Distribution
5(DIST)4(F)2(Fcd)
F Cumulative Distribution calculates the cumulative
probability of an F distribution between a lower bound and
an upper bound.
Calculation Result Output Examples
When a list is specified
Graph when variable (x) is specified
• Graphing is supported only when a variable is specified and a single x-value is entered as
data.
6-56
• Inverse F Cumulative Distribution
5(DIST)4(F)3(InvF)
Inverse F Cumulative Distribution calculates the lower
bound value of an F cumulative distribution probability for
specified n:df and d:df (degrees of freedom of numerator
and denominator) values.
Calculation Result Output Examples
When a list is specified
When variable (x) is specified
• There is no graphing for Inverse F Cumulative Distribution.
k Binomial Distribution
5(DIST)5(BINOMIAL)1(Bpd)
• Binomial Probability
Binomial Probability calculates a probability at a specific
single x-value or each list element for the discrete binomial
distribution with the specified number of trials and
probability of success on each trial. When a list is specified,
calculation results for each list element are displayed in list
form.
Calculation Result Output Examples
When a list is specified
When variable (x) is specified
• There is no graphing for Binomial Probability.
6-57
5(DIST)5(BINOMIAL)2(Bcd)
• Binomial Cumulative Distribution
Binomial Cumulative Distribution determines the sum of
probabilities (cumulative probability) that x, in the Binomial
Probability p(x), will fall within a range specified from a
Lower value to an Upper value.
Calculation Result Output Examples
When a list is specified
When variable (x) is specified
• There is no graphing for Binomial Cumulative Distribution.
• Inverse Binomial Cumulative Distribution
5(DIST)5(BINOMIAL)3(InvB)
Inverse Binomial Cumulative Distribution calculates
the minimum number of trials of a binomial cumulative
distribution for specified values.
Calculation Result Output Examples
When a list is specified
When variable (x) is specified
• There is no graphing for Inverse Binomial Cumulative Distribution.
6-58
Important!
When executing the Inverse Binomial Cumulative Distribution calculation, the calculator uses
the specified Area value and the value that is one less than the Area value minimum number
of significant digits (`Area value) to calculate minimum number of trials values.
The results are assigned to system variables xInv (calculation result using Area) and `xInv
(calculation result using `Area). The calculator always displays the xInv value only. However,
when the xInv and `xInv values are different, the message shown below will appear with both
values.
The calculation results of Inverse Binomial Cumulative Distribution are integers. Accuracy
may be reduced when the Area value has 10 or more digits. Note that even a slight difference
in calculation accuracy affects calculation results. If a warning message appears, check the
displayed values.
k Poisson Distribution
5(DIST)6(g)1(POISSON)1(Ppd)
• Poisson Probability
Poisson Probability calculates a probability at a specific
single x-value or each list element for the discrete Poisson
distribution with the specified mean.
Calculation Result Output Examples
When a list is specified
When variable (x) is specified
• There is no graphing for Poisson Probability.
6-59
5(DIST)6(g)1(POISSON)2(Pcd)
• Poisson Cumulative Distribution
Poisson Cumulative Distribution determines the sum of
probabilities (cumulative probability) that x, in the Poisson
Probability p(x), will fall within a range specified from a
Lower value to an Upper value.
Calculation Result Output Examples
When a list is specified
When variable (x) is specified
• There is no graphing for Poisson Cumulative Distribution.
• Inverse Poisson Cumulative Distribution
5(DIST)6(g)1(POISSON)3(InvP)
Inverse Poisson Cumulative Distribution calculates
the minimum number of trials of a Poisson cumulative
probability distribution for specified values.
Calculation Result Output Examples
When a list is specified
When variable (x) is specified
• There is no graphing for Inverse Poisson Cumulative Distribution.
6-60
Important!
When executing the Inverse Poisson Cumulative Distribution calculation, the calculator uses
the specified Area value and the value that is one less than the Area value minimum number
of significant digits (`Area value) to calculate minimum number of trials values.
The results are assigned to system variables xInv (calculation result using Area) and `xInv
(calculation result using `Area). The calculator always displays the xInv value only. However,
when the xInv and `xInv values are different, the message will appear with both values.
The calculation results of Inverse Poisson Cumulative Distribution are integers. Accuracy may
be reduced when the Area value has 10 or more digits. Note that even a slight difference in
calculation accuracy affects calculation results. If a warning message appears, check the
displayed values.
k Geometric Distribution
5(DIST)6(g)2(GEO)1(Gpd)
• Geometric Probability
Geometric Probability calculates the probability at a specific
single x-value or each list element, and the number of the
trial on which the first success occurs, for the geometric
distribution with a specified probability of success.
Calculation Result Output Examples
When a list is specified
When variable (x) is specified
• There is no graphing for Geometric Probability.
6-61
5(DIST)6(g)2(GEO)2(Gcd)
• Geometric Cumulative Distribution
Geometric Cumulative Distribution determines the sum of
probabilities (cumulative probability) that x, in the Geometric
Probability p(x), will fall within a range specified from a
Lower value to an Upper value.
Calculation Result Output Examples
When a list is specified
When variable (x) is specified
• There is no graphing for Geometric Cumulative Distribution.
• Inverse Geometric Cumulative Distribution
5(DIST)6(g)2(GEO)3(InvG)
Inverse Geometric Cumulative Distribution calculates
the minimum number of trials of a geometric cumulative
probability distribution for specified values.
Calculation Result Output Examples
When a list is specified
When variable (x) is specified
• There is no graphing for Inverse Geometric Cumulative Distribution.
6-62
Important!
When executing the Inverse Geometric Cumulative Distribution calculation, the calculator uses
the specified Area value and the value that is one less than the Area value minimum number
of significant digits (`Area value) to calculate minimum number of trials values.
The results are assigned to system variables xInv (calculation result using Area) and `xInv
(calculation result using `Area). The calculator always displays the xInv value only. However,
when the xInv and `xInv values are different, the message will appear with both values.
The calculation results of Inverse Geometric Cumulative Distribution are integers. Accuracy
may be reduced when the Area value has 10 or more digits. Note that even a slight difference
in calculation accuracy affects calculation results. If a warning message appears, check the
displayed values.
k Hypergeometric Distribution
5(DIST)6(g)3(HYPRGEO)1(Hpd)
• Hypergeometric Probability
Hypergeometric Probability calculates the probability at
a specific single x-value or each list element, and the
number of the trial on which the first success occurs, for the
hypergeometric distribution with a specified probability of
success.
Calculation Result Output Examples
When a list is specified
When variable (x) is specified
• There is no graphing for Hypergeometric Probability.
• Hypergeometric Cumulative Distribution
5(DIST)6(g)3(HYPRGEO)2(Hcd)
Hypergeometric Cumulative Distribution determines the
sum of probabilities (cumulative probability) that x, in the
Hypergeometric Probability p(x), will fall within a range
specified from a Lower value to an Upper value.
6-63
Calculation Result Output Examples
When a list is specified
When variable (x) is specified
• There is no graphing for Hypergeometric Cumulative Distribution.
• Inverse Hypergeometric Cumulative Distribution
5(DIST)6(g)3(HYPRGEO)3(InvH)
Inverse Hypergeometric Cumulative Distribution calculates
the minimum number of trials of a hypergeometric
cumulative probability distribution for specified values.
Calculation Result Output Examples
When a list is specified
When variable (x) is specified
• There is no graphing for Inverse Hypergeometric Cumulative Distribution.
Important!
When executing the Inverse Hypergeometric Cumulative Distribution calculation, the calculator
uses the specified Area value and the value that is one less than the Area value minimum
number of significant digits (`Area value) to calculate minimum number of trials values.
The results are assigned to system variables xInv (calculation result using Area) and `xInv
(calculation result using `Area). The calculator always displays the xInv value only. However,
when the xInv and `xInv values are different, the message will appear with both values.
The calculation results of Inverse Hypergeometric Cumulative Distribution are integers.
Accuracy may be reduced when the Area value has 10 or more digits. Note that even a slight
difference in calculation accuracy affects calculation results. If a warning message appears,
check the displayed values.
6-64
8. Input and Output Terms of Tests, Confidence
Interval, and Distribution
The following explains the input and output terms that are used by tests, confidence interval,
and distribution.
k Input Terms
Data ...................................data type
(1-Sample Z Test) ...........population mean value test conditions (“≠ 0” specifies two-tail test,
“< 0” specifies lower one-tail test, “> 0” specifies upper one-tail
test.)
1 (2-Sample Z Test) ..........population mean value test conditions (“≠ 2” specifies two-tail test,
“< 2” specifies one-tail test where sample 1 is smaller than sample
2, “> 2” specifies one-tail test where sample 1 is greater than
sample 2.)
Prop (1-Prop Z Test) ..........sample proportion test conditions (“≠ p0” specifies two-tail test,
“< p0” specifies lower one-tail test, “> p0” specifies upper one-tail
test.)
p1 (2-Prop Z Test) ...............sample proportion test conditions (“≠ p2” specifies two-tail test,
“< p2” specifies one-tail test where sample 1 is smaller than sample
2, “> p2” specifies one-tail test where sample 1 is greater than
sample 2.)
(1-Sample t Test) ............population mean value test conditions (“≠ 0” specifies two-tail test,
“< 0” specifies lower one-tail test, “> 0” specifies upper one-tail
test.)
1 (2-Sample t Test) ...........sample mean value test conditions (“≠ 2” specifies two-tail test,
“< 2” specifies one-tail test where sample 1 is smaller than sample
2, “> 2” specifies one-tail test where sample 1 is greater than
sample 2.)
β & ρ (LinearReg t Test) .....ρ-value test conditions (“≠ 0” specifies two-tail test, “< 0” specifies
lower one-tail test, “> 0” specifies upper one-tail test.)
1 (2-Sample F Test) ..........population standard deviation test conditions (“≠ 2” specifies
two-tail test, “< 2” specifies one-tail test where sample 1 is smaller
than sample 2, “> 2” specifies one-tail test where sample 1 is
greater than sample 2.)
0 .......................................assumed population mean
.........................................population standard deviation ( > 0)
1 .......................................population standard deviation of sample 1 (1 > 0)
2 .......................................population standard deviation of sample 2 (2 > 0)
List .....................................list whose contents you want to use as data (List 1 to 26)
List1 ...................................list whose contents you want to use as sample 1 data (List 1 to 26)
List 2 ...................................list whose contents you want to use as sample 2 data (List 1 to 26)
6-65
Freq ....................................frequency (1 or List 1 to 26)
Freq1 ..................................frequency of sample 1 (1 or List 1 to 26)
Freq2 ..................................frequency of sample 2 (1 or List 1 to 26)
Execute ..............................executes a calculation or draws a graph
o .........................................mean of sample
o1 .......................................mean of sample 1
o2 ........................................mean of sample 2
n .........................................size of sample (positive integer)
n1........................................size of sample 1 (positive integer)
n2........................................size of sample 2 (positive integer)
p0........................................expected sample proportion (0 < p0 < 1)
p1........................................sample proportion test conditions
x (1-Prop Z Test) ................sample value (x 0 integer)
x (1-Prop Z Interval) ...........data (0 or positive integer)
x1 ........................................data value of sample 1 (x1 0 integer)
x2 ........................................data value of sample 2 (x2 0 integer)
sx ........................................sample standard deviation (sx > 0)
sx1 .......................................standard deviation of sample 1 (sx1 > 0)
sx2 .......................................standard deviation of sample 2 (sx2 > 0)
XList ...................................list for x-axis data (List 1 to 26)
YList ...................................list for y-axis data (List 1 to 26)
C-Level ...............................confidence level (0 C-Level < 1)
Pooled ................................pooling On (in effect) or Off (not in effect)
x (Distribution) ....................data
(Distribution) ...................standard deviation ( > 0)
(Distribution) ...................mean
(Distribution)....................mean
Lower (Distribution) ............lower boundary
Upper (Distribution) ............upper boundary
L.List (Distribution) .............list for lower bound data (List 1 to 26)
U.List (Distribution) ............list for upper bound data (List 1 to 26)
df (Distribution) ..................degrees of freedom (df > 0)
n:df (Distribution) ...............numerator degrees of freedom (positive integer)
d:df (Distribution) ...............denominator degrees of freedom (positive integer)
Numtrial (Distribution) ........number of trials
p (Distribution)....................success probability (0 p 1)
6-66
k Output Terms
z .........................................z score
p .........................................p-value
t ..........................................t score
2 ........................................2 value
F ........................................F value
p̂..........................................estimated sample proportion
p̂1 ........................................estimated proportion of sample 1
p̂2 ........................................estimated proportion of sample 2
o .........................................mean of sample
o1 ........................................mean of sample 1
o2 ........................................mean of sample 2
sx ........................................sample standard deviation
sx1 .......................................standard deviation of sample 1
sx2 .......................................standard deviation of sample 2
sp ........................................pooled sample standard deviation
n ........................................size of sample
n1........................................size of sample 1
n2........................................size of sample 2
df ........................................degrees of freedom
a .........................................constant term
b .........................................coefficient
se ........................................standard error
r .........................................correlation coefficient
r2 ........................................coefficient of determination
Lower .................................confidence interval lower limit
Upper .................................confidence interval upper limit
6-67
9. Statistic Formula
k Test
Test
1-Sample Z Test
z = (o – μ0)/(σ/'
n)
2-Sample Z Test
z = (o1 – o2)/ (σ 12/n1) + (σ 22/n2)
1-Prop Z Test
z = (x/n – p0)/ p0(1 – p0)/n
2-Prop Z Test
z = (x1/n1 – x2/n2)/ p̂ (1 – p̂ )(1/n1 + 1/n2)
1-Sample t Test
t = (o – μ0)/(sx/'
n)
t = (o1 – o2)/ sp2(1/n1 + 1/n2)
2-Sample t Test (pooled)
sp = ((n1 – 1)sx12 + (n2 – 1)sx22)/(n1 + n2 – 2)
df = n1 + n2 − 2
t = (o1 – o2)/ sx12/n1 + sx22/n2
2-Sample t Test (not pooled) df = 1/(C 2/(n1 – 1) + (1 – C )2/(n2 – 1))
C = (sx12/n1)/(sx12/n1 + sx22/n2)
LinearReg t Test
n
n
i=1
i=1
b = Σ(xi – o)(yi – p)/Σ(xi – o)2
a = p – bo
t = r (n – 2)/(1 – r 2)
Oi: The i-th element of the
k
χ2 GOF Test
observed list
χ2 = Σ ( Oi − Ei)2 /Ei
Ei: The i-th element of the
i
expected list
k R
χ2 two-way Test
2-Sample F Test
χ2 = ΣΣ( Oij − Eij)2 /Eij
i
j
k
R
k R
i=1
j=1
i=1 j=1
Eij = Σ Oij • Σ Oij / Σ Σ Oij
F = sx12/sx22
F = MS/MSe
MS = SS/Fdf
k
ANOVA Test
Oij: The element at row i, column
j of the observed matrix
Eij: The element at row i, column
j of the expected matrix
MSe = SSe/Edf
k
SS = Σ ni (oi − o)2
SSe = Σ ( ni – 1)sxi2
Fdf = k − 1
Edf = Σ ( ni – 1)
i=1
i=1
k
i=1
6-68
k Confidence Interval
Confidence Interval
Lower: confidence interval lower limit
Upper: confidence interval upper limit
1-Sample Z Interval
Lower, Upper = o + Z (α /2) · σ/'
n
2-Sample Z Interval
Lower, Upper = (o1 – o2) + Z(α /2) σ12/n1 + σ22/n2
1-Prop Z Interval
Lower, Upper = x/n + Z(α /2) 1/n · (x/n · (1 – x/n))
2-Prop Z Interval
1-Sample t Interval
2-Sample t Interval
(pooled)
Lower, Upper = (x1/n1 – x2/n2)
+ Z(α /2) (x1/n1 · (1 – x1/n1))/n1 + (x2/n2 · (1 – x2/n2))/n2
Lower, Upper = o + tn−1(α /2) · sx/'
n
Lower, Upper = (o1 – o2) + tn1+n2−2 (α /2) sp2(1/n1 + 1/n2)
sp = ((n1 – 1)sx12 + (n2 – 1)sx22)/(n1 + n2 – 2)
Lower, Upper = (o1 – o2) + tdf (α /2) sx12/n1 + sx22/n2
2-Sample t Interval
(not pooled)
df = 1/(C 2/(n1 – 1) + (1 – C)2/(n2 – 1))
C = (sx12/n1)/(sx12/n1 + sx22/n2)
α: level of significance α = 1 − [C-Level ] C-Level : confidence level (0 C-Level < 1)
Z(α/2): upper α/2 point of standard normal distribution
tdf (α/2): upper α/2 point of t distribution with df degrees of freedom
6-69
k Distribution (Continuous)
Distribution
Normal
Distribution
Probability Density
–
p(x) = 1 e
2πσ
(x – μμ)2
2σ
(σ > 0)
2
–
Student-t
Distribution
df
χ2 Distribution
2
df
×x
2
2
–1
–
×e
p=
x
2
∫
Upper
p(x)dx
Lower
(x 0)
ndf + ddf
2
p(x) =
ndf
ddf
Γ
×Γ
2
2
Γ
F Distribution
df+1
x2
df + 1
1+
Γ 2
df
p(x) =
×
π × df
df
Γ 2
p(x) = 1 × 1
2
df
Γ 2
Cumulative Distribution
ndf
ddf
ndf ndf
–1
2
x
– ndf + ddf
2
1 + ndf × x
ddf
2
(x 0)
Inverse Cumulative Distribution
Distribution
Normal
Distribution
p=
∫
Upper
p=
p(x)dx
–∞
tail = Left
∫
∞
p(x)dx
Lower
tail = Right
Student-t
Distribution
χ Distribution
2
p=
F Distribution
6-70
∫
∞
p(x)dx
Lower
p=
∫
Upper
p(x)dx
Lower
tail = Central
k Distribution (Discrete)
Distribution
Probability
Binomial Distribution
p(x) = nC x p x(1–p)n – x
Poisson Distribution
p(x) =
Geometric Distribution
p(x) = p(1– p)x – 1
p(x) =
Hypergeometric
Distribution
Distribution
e– λ × λ x
x!
MC x
(x = 0, 1, ·······, n) n: number of trials
(x = 0, 1, 2, ···)
λ: mean ( λ > 0)
(x = 1, 2, 3, ···)
× N – MC n – x
NC n
n: Number of elements extracted from population (0 x integer)
M: Number of elements contained in attribute A (0 M integer)
N: Number of population elements (n N, M N integer)
Cumulative Distribution
Inverse Cumulative Distribution
p = Σ p(x)
Upper
p H Σ p(x)
Upper
Binomial Distribution
x=Lower
X
x=0
Poisson Distribution
X
Geometric Distribution
p = Σ p(x)
p H Σ p(x)
Hypergeometric
Distribution
p = Σ p(x)
Upper
p H Σ p(x)
x=Lower
x=Lower
6-71
x=1
X
x=0
Chapter 7 Financial Calculation
Important!
• Calculation results produced in this mode should be regarded as reference values only.
• Whenever performing an actual financial transaction, be sure to check any calculation results
obtained using this calculator with against the figures calculated by your financial institution.
1. Before Performing Financial Calculations
From the Main Menu, enter the Financial mode and display the Financial screen like the one
shown below.
Financial 1 screen
Financial 2 screen
7
• {SIMPLE} … {simple interest}
• {COMPND} … {compound interest}
• {CASH} … {cash flow (investment appraisal)}
• {AMORTZN} … {amortization}
• {CONVERT} … {interest rate conversion}
• {COST} … {cost, selling price, margin}
• {DAYS} … {day/date calculations}
• {DEPREC} … {depreciation calculations}
• {BOND} … {bond calculations}
7-1
k Setup Items
indicates default setting.
u Payment
• {BEGIN}/{END} … Specifies {beginning of the period}/{end of the period} payment
u Date Mode
• {365}/{360} … Specifies calculation according to a {365-day}/{360-day} year
u Periods/YR. (payment interval specification)
• {Annual}/{Semi} … {annual}/{semiannual}
u Graph Color
• {Black}/{Blue}/{Red}/{Magenta}/{Green}/{Cyan}/{Yellow} … Specifies a single border line
color.
Note the following points regarding Setup screen settings whenever using the Financial
mode.
• The following graph Setup screen settings are all turned off for graphing in the Financial
mode: Axes, Grid, Dual Screen.
• Drawing a financial graph while the Label item is turned on, displays the label CASH for the
vertical axis (deposits, withdrawals), and TIME for the horizontal axis (frequency).
• You can use the Setup “Background” setting to display a Financial mode graph screen
background image. This operation is the same as that for the Graph mode. For details, see
“Displaying a Graph Background Image” (page 5-10). Note, however, that you cannot perform
V-Window related operations while in the Financial mode.
• While a background image is being displayed on the Financial mode graph screen, you can
adjust the lightness of the background image. For information about this operation, see “To
adjust the lightness (Fade I/O) of the background image” (page 5-12).
k Graphing in the Financial Mode
After performing a financial calculation, you can use 6(GRAPH) to graph the results as
shown below.
7-2
• Pressing !1(TRACE) while a graph is on the display activates Trace, which can be used
to look up other financial values. In the case of simple interest, for example, pressing e
displays PV, SI, and SFV. Pressing d displays the same values in reverse sequence.
• While the graph screen is displayed, you can press !f(FORMAT) and then use the
dialog box that appears to change the graph color. The color specification you make on this
dialog box is also reflected by the “Graph Color” setting of the Setup screen.
• Zoom, Scroll, and Sketch cannot be used in the Financial mode.
• Whether you should use a positive or a negative value for the present value (PV) or the
purchase price (PRC) depends on the type of calculation you are trying to perform.
• Note that graphs should be used only for reference purposes when viewing Financial mode
calculation results.
2. Simple Interest
This calculator uses the following formulas to calculate simple interest.
u Formula
365-day Mode
360-day Mode
SI' = n × PV × i
365
SI' = n × PV × i
360
I%
100
I%
i=
100
i=
SI = –SI'
SFV = –(PV + SI' )
SI :
n :
PV :
I% :
SFV :
interest
number of interest periods
principal
annual interest
principal plus interest
Press 1(SIMPLE) from the Financial 1 screen to display the following input screen for simple
interest.
1(SIMPLE)
n ........... number of interest periods (days)
I% ........ annual interest rate
PV ........ principal
After configuring the parameters, use one of the function menus noted below to perform the
corresponding calculation.
• {SI} … {simple interest}
• {SFV} … {simple future value}
7-3
• An error occurs if parameters are not configured correctly.
Use the following function menus to maneuver between calculation result screens.
• {REPEAT} … {parameter input screen}
• {GRAPH} … {draws graph}
After drawing a graph, you can press !1(TRACE) to turn on trace and read calculation
results along the graph.
Each press of e while trace is turned on cycles the displayed value in the sequence: present
value (PV) → simple interest (SI) → simple future value (SFV). Pressing d cycles in the
reverse direction.
Press J to return to the parameter input screen.
3. Compound Interest
This calculator uses the following standard formulas to calculate compound interest.
u PV, PMT, FV, n
I%≠0
PV = – (α × PMT + β × FV)
PMT = –
log
FV = –
I%=0
PV =
FV =
PV + α × PMT
β
(PMT × n + FV )
(PMT × n + PV)
α = (1+ i × S) ×
S=
{
n=
{
PV + β × FV
α
(1+ iS) × PMT – FV × i
(1+ iS) × PMT + PV × i
}
log (1+ i)
PV + FV
n
PV + FV
n=–
PMT
PMT = –
1–β
–n
, β = (1 + i)
i
0 .........Payment : End
(Setup Screen)
1 .........Payment : Begin
(Setup Screen)
i =
7-4
{
I%
............................... (P/Y = C/Y = 1)
100
C/Y
P/Y
I%
(1+
) –1 ..... (Other than
100 × [C/Y ]
those above)
uI %
i (effective interest rate)
i (effective interest rate) is calculated using Newton’s Method.
PV + α × PMT + β × FV = 0
To I % from i (effective interest rate)
i × 100 ................................. (P/Y = C/Y = 1)
I% =
{{
(1+ i )
P/Y
C/Y
}
–1 × C/Y × 100... (Other than those above)
n ............ number of compound periods
I% ......... annual interest rate
PV ......... present value
PMT ...... payment
FV ......... future value
P/Y ........ installment periods per year
C/Y ........ compounding periods per year
• A deposit is indicated by a plus sign (+), while a withdrawal is indicated by a minus sign (–).
Press 2(COMPND) from the Financial 1 screen to display the following input screen for
compound interest.
2(COMPND)
n ........... number of compound periods
I% ........ annual interest rate
PV ........ present value (loan amount in case of loan; principal in case of savings)
PMT ..... payment for each installment (payment in case of loan; deposit in case of savings)
FV ........ future value (unpaid balance in case of loan; principal plus interest in case of
savings)
P/Y ....... installment periods per year
C/Y ....... compounding periods per year
7-5
Important!
Inputting Values
A period (n) is expressed as a positive value. Either the present value (PV) or future value
(FV) is positive, while the other (PV or FV) is negative.
Precision
This calculator performs interest calculations using Newton’s Method, which produces
approximate values whose precision can be affected by various calculation conditions.
Because of this, interest calculation results produced by this calculator should be used
keeping the above limitation in mind or the results should be verified.
After configuring the parameters, use one of the function menus noted below to perform the
corresponding calculation.
• {n} … {number of compound periods}
• {I%} … {annual interest rate}
• {PV} … {present value} (Loan: loan amount; Savings: principal)
• {PMT} … {payment} (Loan: payment; Savings: deposit)
• {FV} … {future value} (Loan: unpaid balance; Savings: principal plus interest)
• {AMORTZN} … {amortization screen}
• An error occurs if parameters are not configured correctly.
Use the following function menus to maneuver between calculation result screens.
• {REPEAT} … {parameter input screen}
• {AMORTZN} … {amortization screen}
• {GRAPH} … {draws graph}
After drawing a graph, you can press !1(TRACE) to turn on trace and read calculation
results along the graph.
Press J to return to the parameter input screen.
7-6
4. Cash Flow (Investment Appraisal)
This calculator uses the discounted cash flow (DCF) method to perform investment appraisal
by totalling cash flow for a fixed period. This calculator can perform the following four types of
investment appraisal.
• Net present value (NPV)
• Net future value (NFV)
• Internal rate of return (IRR)
• Payback period (PBP)
A cash flow diagram like the one shown below helps to visualize the movement of funds.
CF2 CF3 CF4
CF5
CF7
CF6
CF1
CF0
With this graph, the initial investment amount is represented by CF0. The cash flow one year
later is shown by CF1, two years later by CF2, and so on.
Investment appraisal can be used to clearly determine whether an investment is realizing
profits that were originally targeted.
u NPV
NPV = CF0 +
CF2
CF3
CFn
CF1
+
+
+…+
2
3
(1+ i) (1+ i)
(1+ i)
(1+ i)n
i=
I%
100
n: natural number up to 254
u NFV
NFV = NPV × (1 + i )n
u IRR
0 = CF0 +
CF2
CF3
CFn
CF1
+
+
+
…
+
(1+ i) (1+ i) 2 (1+ i) 3
(1+ i) n
In this formula, NPV = 0, and the value of IRR is equivalent to i × 100. It should be noted,
however, that minute fractional values tend to accumulate during the subsequent calculations
performed automatically by the calculator, so NPV never actually reaches exactly zero. IRR
becomes more accurate the closer that NPV approaches to zero.
7-7
u PBP
PBP =
{
0 .................................. (CF0 > 0)
NPVn
... (Other than those above)
n–
NPVn+1 – NPVn
n
NPVn =
Σ
k
=0
CFk
(1 + i)k
n: smallest positive integer that satisfies the conditions NPVn < 0, NPVn+1 > 0, or 0
Press 3(CASH) from the Financial 1 screen to display the following input screen for Cash
Flow.
3(CASH)
I% ........ interest rate
Csh ....... list to be used for cash flow data
If you have not yet input data into a list, press 5('LIST) and input data into a list.
After configuring the parameters, use one of the function menus noted below to perform the
corresponding calculation.
• {NPV} … {net present value}
• {IRR} … {internal rate of return}
• {PBP} … {payback period}
• {NFV} … {net future value}
• {'LIST} … {inputs data into a list}
• {LIST} … {specifies a list}
• An error occurs if parameters are not configured correctly.
Use the following function menus to maneuver between calculation result screens.
• {REPEAT} … {parameter input screen}
• {GRAPH} … {draws graph}
After drawing a graph, you can press !1(TRACE) to turn on trace and read calculation
results along the graph.
Press J to return to the parameter input screen.
7-8
5. Amortization
This calculator can be used to calculate the principal and interest portion of a monthly
installment, the remaining principal, and amount of principal and interest repaid up to any
point.
u Formula
a
1 payment
c
b
1 ............ PM1 ................... PM2 .......... Last
Number of Payments
a: interest portion of installment PM1 (INT)
b: principal portion of installment PM1 (PRN)
c: balance of principal after installment PM2 (BAL)
e
1 payment
d
1............. PM1................ PM2 ............. Last
Number of Payments
d: total principal from installment PM1 to payment of installment PM2 (ΣPRN)
e: total interest from installment PM1 to payment of installment PM2 (ΣINT)
*a + b = one repayment (PMT)
a : INTPM1 = I BALPM1–1 × i I × (PMT sign)
b : PRNPM1 = PMT + BALPM1–1 × i
c : BALPM2 = BALPM2–1 + PRNPM2
d : Σ PRN = PRNPM1 + PRNPM1+1 + … + PRNPM2
PM2
PM1
e : Σ INT = INTPM1 + INTPM1+1 + … + INTPM2
PM2
PM1
7-9
• “End” selected for the Setup screen Payment setting: BAL0 = PV
• “Begin” selected for the Setup screen Payment setting: INT1 = 0 and PRN1 = PMT
u Converting between the nominal interest rate and effective interest rate
The nominal interest rate (I% value input by user) is converted to an effective interest rate
(I%' ) for installment loans where the number of installments per year is different from the
number of compound interest calculation periods.
{
[C/Y ]
}
[P/Y ]
I%
I%' = (1+
) –1 × 100
100 × [C/Y ]
The following calculation is performed after conversion from the nominal interest rate to the
effective interest rate, and the result is used for all subsequent calculations.
i = I%'÷100
Press 4(AMORTZN) from the Financial 1 screen to display the following input screen for
amortization.
4(AMORTZN)
PM1....... first installment of installments 1 through n
PM2....... second installment of installments 1 through n
n ........... installments
I% ........ interest rate
PV ........ principal
PMT ..... payment for each installment
FV ........ balance following final installment
P/Y ....... installments per year
C/Y ....... compoundings per year
7-10
After configuring the parameters, use one of the function menus noted below to perform the
corresponding calculation.
• {BAL} … {balance of principal after installment PM2}
• {INT} … {interest portion of installment PM1}
• {PRN} … {principal portion of installment PM1}
• {ΣINT} … {total interest paid from installment PM1 to installment PM2}
• {ΣPRN} … {total principal paid from installment PM1 to installment PM2}
• {COMPND} … {compound interest screen}
• An error occurs if parameters are not configured correctly.
Use the following function menus to maneuver between calculation result screens.
• {REPEAT} … {parameter input screen}
• {COMPND} … {compound interest screen}
• {GRAPH} … {draws graph}
After drawing a graph, you can press !1(TRACE) to turn on trace and read calculation
results along the graph.
The first press of !1(TRACE) displays INT and PRN when n = 1. Each press of e
shows INT and PRN when n = 2, n = 3, and so on.
Press J to return to the parameter input screen.
7-11
6. Interest Rate Conversion
The procedures in this section describe how to convert between the annual percent rate and
effective interest rate.
u Formula
n
APR/100
EFF = 1+
–1 × 100
n
EFF
APR = 1+
100
1
n
APR : annual percent rate (%)
EFF : effective interest rate (%)
n
: number of compoundings
–1 × n ×100
Press 5(CONVERT) from the Financial 1 screen to display the following input screen for
interest rate conversion.
5(CONVERT)
n ........... number of compoundings
I% ......... interest rate
After configuring the parameters, use one of the function menus noted below to perform the
corresponding calculation.
• {'EFF} … {converts annual percent rate to effective interest rate}
• {'APR} … {converts effective interest rate to annual percent rate}
• An error occurs if parameters are not configured correctly.
Use the following function menu to maneuver between calculation result screens.
• {REPEAT} … {parameter input screen}
7-12
7. Cost, Selling Price, Margin
Cost, selling price, or margin can be calculated by inputting the other two values.
u Formula
CST = SEL 1–
MRG
100
CST
MRG
1–
100
CST
×100
MRG(%) = 1–
SEL
SEL =
CST : cost
SEL : selling price
MRG : margin
Press 1(COST) from the Financial 2 screen to display the following input screen.
6(g)1(COST)
Cst......... cost
Sel ......... selling price
Mrg ........ margin
After configuring the parameters, use one of the function menus noted below to perform the
corresponding calculation.
• {COST} … {cost}
• {SELL} … {selling price}
• {MARGIN} … {margin}
• An error occurs if parameters are not configured correctly.
Use the following function menu to maneuver between calculation result screens.
• {REPEAT} … {parameter input screen}
7-13
8. Day/Date Calculations
You can calculate the number of days between two dates, or you can determine what date
comes a specific number of days before or after another date.
Press 2(DAYS) from the Financial 2 screen to display the
following input screen for day/date calculation.
6(g)2(DAYS)
d1 .......... date 1
d2 .......... date 2
D .......... number of days
To input a date, first highlight d1 or d2. Pressing a number
key to input the month causes an input screen like the one
shown nearby to appear on the display.
Input the month, day, and year, pressing w after each.
After configuring the parameters, use one of the function menus noted below to perform the
corresponding calculation.
• {PRD} … {number of days from d1 to d2 (d2 – d1)}
• {d1+D} … {d1 plus a number of days (d1 + D)}
• {d1–D} … {d1 minus a number of days (d1 – D)}
• An error occurs if parameters are not configured correctly.
Use the following function menu to maneuver between calculation result screens.
• {REPEAT} … {parameter input screen}
• The Setup screen can be used to specify either a 365-day or 360-day year for financial
calculations. Day/date calculations are also performed in accordance with the current setting
for number of days in the year, but the following calculations cannot be performed when the
360-day year is set. Attempting to do so causes an error.
(Date) + (Number of Days)
(Date) – (Number of Days)
• The allowable calculation range is January 1, 1901 to December 31, 2099.
7-14
• 360-day Date Mode Calculations
The following describes how calculations are processed when 360 is specified for the Date
Mode item in the Setup screen.
• If d1 and d2 are both the last day of February (day 28 in a normal year, day 29 in a leap
year), d2 is treated as day 30.
• If d1 is the last day of February, d1 is treated as day 30.
• If d2 is day 31 of a month and d1 is day 30 or day 31 of a month, d2 is treated as day 30.
• If d1 is day 31 of a month, d1 is treated as day 30.
9. Depreciation
Depreciation lets you calculate the amount that a business expense can be offset by income
(depreciated) over a given year.
• This calculator supports the following four types of depreciation calculations.
straight-line (SL), fixed-percent (FP), sum-of-the-years’-digits (SYD), or declining-balance
(DB).
• Any one of the above methods can be used to calculate depreciation for a specified period.
A table and graph of the depreciated amount and undepreciated amount in year j.
u Straight-Line Method (SL)
SLj
n
PV
FV
j
depreciation charge for the jth year
useful life
original cost (basis)
residual book value
year for calculation of depreciation
cost
Y−1 : number of months in the first year
of depreciation
(PV–FV ) {Y–1}
u
n
12
(PV–FV )
SLj =
n
(PV–FV ) 12–{Y–1}
u
SLn+1 =
n
12
SL1 =
({Y–1}≠12)
:
:
:
:
:
u Fixed-Percent Method (FP)
FPj : depreciation charge for the jth year
RDVj : remaining depreciable value at the
end of jth year
I% : depreciation ratio
I% {Y–1}
FP1 = PV × 100 × 12
I%
FPj = (RDVj–1 + FV ) ×
100
FPn+1 = RDVn ({Y–1}≠12)
RDV1 = PV – FV – FP1
RDVj = RDVj–1 – FPj
RDVn+1 = 0
({Y–1}≠12)
7-15
u Sum-of-the-Years’-Digits Method (SYD)
{Y–1}
n (n +1)
n' = n –
2
12
(n' integer part +1)(n' integer part + 2*n' fraction part )
Z' =
2
n
{Y–1}
×
(PV – FV )
SYD1 =
Z
12
n'– j+2
)(PV – FV – SYD1)
SYDj = (
( j≠1)
Z'
n'– (n +1)+2
12–{Y–1}
SYDn+1 = (
)(PV – FV – SYD1) ×
({Y–1}≠12)
Z'
12
Z=
RDV1 = PV – FV – SYD1
SYDj : depreciation charge for the jth year
RDVj : remaining depreciable value at the
end of jth year
RDVj = RDVj –1 – SYDj
u Declining-Balance Method (DB)
DB1 = PV ×
DBj : depreciation charge for the jth year
RDVj : remaining depreciable value at the
end of jth year
I% : depreciation factor
I%
Y–1
×
100n
12
RDV1 = PV – FV – DB1
DBj = (RDVj–1 + FV ) ×
I%
100n
RDVj = RDVj–1 – DBj
DBn +1 = RDVn
({Y–1}≠12)
RDVn+1 = 0
({Y–1}≠12)
Press 3(DEPREC) from the Financial 2 screen to display the following input screen for
depreciation calculation.
6(g)3(DEPREC)
n ............ useful life
I% ......... depreciation ratio in the case of the fixed percent (FP) method, depreciation factor in
the case of the declining balance (DB) method
PV ......... original cost (basis)
FV ......... residual book value
j ............. year for calculation of depreciation cost
Y−1........ number of months in the first year of depreciation
7-16
After configuring the parameters, use one of the function menus noted below to perform the
corresponding calculation.
• {SL} … {Calculate depreciation for year j using the straight-line method}
• {FP} ... {FP} ....{Calculate depreciation for year j using the fixed-percent method}
{I%} .....{Calculate depreciation ratio}
• {SYD} … {Calculate depreciation for year j using the sum-of-the-years’-digits method}
• {DB} … {Calculate depreciation for year j calculated using the declining-balance method}
Calculation Result Output Examples
{SYD}
{SYD} − {TABLE}
{SYD} − {GRAPH}
An error occurs if parameters are not configured correctly.
Use the following function menu to maneuver between calculation result screens.
• {REPEAT} … {parameter input screen}
• {TABLE} … {displays table}
• {GRAPH} … {draws graph}
10. Bond Calculations
Bond calculation lets you calculate the purchase price or the annual yield of a bond.
Before starting bond calculations, use the Setup screen to configure “Date Mode” and
“Periods/YR.” settings (page 7-2).
u Formula
D
A
B
Redemption date (d2)
Issue date
Purchase date (d1)
Coupon Payment dates
7-17
PRC : price per $100 of face value
CPN : coupon rate (%)
YLD : annual yield (%)
A
: accrued days
M : number of coupon payments per year (1=annual, 2=semi annual)
N
: number of coupon payments between settlement date and maturity date
RDV : redemption price or call price per $100 of face value
D : number of days in coupon period where settlement occurs
B
: number of days from settlement date until next coupon payment date = D − A
INT : accrued interest
CST : price including interest
• For one or fewer coupon period to redemption
RDV +
PRC = –
1+ (
B
D
×
CPN
M
YLD/100
M
+(
)
A
D
×
CPN
M
)
• For more than one coupon period to redemption
CPN
RDV
PRC = –
(1+
INT = –
A
D
×
YLD/100
M
CPN
M
M
N
)
(N–1+B/D )
–Σ
k=1
(1+
YLD/100
M
+
)
(k–1+B/D )
A
D
×
CPN
M
CST = PRC + INT
u Annual Yield (YLD)
YLD is calculated using Newton’s Method.
Press 4(BOND) from the Financial 2 screen to display the following input screen for Bond
calculation.
6(g)4(BOND)
7-18
d1 .......... purchase date (month, date, year)
d2 .......... redemption date (month, date, year)
RDV ...... redemption price per $100 of face value
CPN ...... coupon rate
PRC ...... price per $100 of face value
YLD ...... annual yield
• The allowable calculation range is January 1, 1902 to December 31, 2097.
After configuring the parameters, use one of the function menus noted below to perform the
corresponding calculation.
• {PRC} … {Calculate the bond’s price (PRC), accrued interest (INT), and cost of bond (CST)}
• {YLD} … {Calculate the yield to maturity}
Calculation Result Output Examples
{PRC}
{PRC} − {GRAPH}
{PRC} − {MEMO}
An error occurs if parameters are not configured correctly.
Use the following function menu to maneuver between calculation result screens.
• {REPEAT} … {parameter input screen}
• {MEMO} … {displays numbers of days used in calculations}
• {GRAPH} … {draws graph}
MEMO Screen
• The following describes the meaning of the MEMO screen display items.
PRD ... number of days from d1 to d2
N......... number of coupon payments between settlement date and maturity date
A ......... accrued days
B ......... number of days from settlement date until next coupon payment date (D−A)
D ........ number of days in coupon period where settlement occurs
7-19
• Each press of w while the MEMO screen is displayed cycles the Coupon Payment Day
(CPD) display sequentially from the redemption year up to the purchase year. This is true
only when the “Date Mode” setting on the Setup screen is “365”.
11. Financial Calculations Using Functions
You can use special functions in the Run-Matrix mode or Program mode to perform
calculations that are the same as the Financial mode financial calculations.
Example
To calculate the total interest and principal paid for a 2-year (730-day)
$300 loan at a simple annual interest rate of 5%. Use a Date Mode
setting of 365.
1. From the Main Menu, enter the Run-Matrix mode.
2. Press the keys as follows.
K6(g)6(g)2(FINANCE)*
1(SIMPLE)1(SI)hda,f,
daa)w
2(SFV)hda,f,daa)
w
* Math input/output mode operation. In the Linear input/output mode, use the following
operation: K6(g)6(g)6(g)1(FINANCE).
• Use the Financial mode Setup screen (!m(SET UP)) to change the “Date Mode”
setting. You also can use special commands (DateMode365, DateMode360) in the Program
mode to change the setting.
• For details about what you can do with the financial calculation functions and their syntax,
see “Performing Financial Calculations in a Program” (page 8-48).
7-20
Chapter 8 Programming
Important!
Input in the Program mode is always performed using the Linear input/output mode.
1. Basic Programming Steps
Commands and calculations are executed sequentially.
1. From the Main Menu, enter the Program mode. When you do, a program list appears on the
display.
Selected program area
(use f and c to move)
Files are listed in the alphabetic sequence of their names.
2. Register a file name.
3. Input the program.
4. Run the program.
• The values to the right of the program list indicate the number of bytes used by each
program.
• A file name can be up to eight characters long.
• The following are the characters you can use in a file name: A through Z, {, }, ’, ~, 0 through 9
• Registering a file name uses 32 bytes of memory.
To calculate the surface area (cm2) and volume (cm3) of three regular
octahedrons when the length of one side is 7, 10, and 15 cm,
respectively
Example
Store the calculation formula under the file name OCTA.
The following are the formulas used for calculating surface area S and volume
V of a regular octahedron for which the length of one side A is known.
A
'
2
S = 2'
3 A2, V = –––– A3
3
8-1
8
1 m Program
2 3(NEW)j(O)I(C)/(T)v(A)w
3 !J(PRGM)4(?)aav(A)6(g)5(:)
c*!x(')d*av(A)x6(g)6(g)5(^)
!x(')c/d*av(A)Md
JJ
4 1(EXE) or w
hw(Value of A)
w
S when A = 7
V when A = 7
ww
baw
w
S when A = 10
V when A = 10
ww
bfw
w*
1
S when A = 15
V when A = 15
*1 Pressing w while the program’s final result is on the display exits the program.
• You can also run a program while in the Run-Matrix mode by inputting: Prog ""
w.
• Pressing w while the final result of a program executed using this method is on the display
re-executes the program.
• An error occurs if the program specified by Prog "" cannot be found.
2. Program Mode Function Keys
u File List Function Menu
Only the {NEW} and {LOAD} function menus are displayed when there are no program files in
memory.
• {EXE}/{EDIT} ... program {execute}/{edit}
• {NEW} ... {new program}
• {DELETE}/{DEL-ALL} ... {specific program}/{all program} delete
• {SEARCH}/{RENAME} ... file name {search}/{change}
• {SAVE • AS} ... {saves program as a text file}
• {LOAD} ... {converts a text file to a program and saves it}
•{
} ... {password protects a program or removes password protection}
8-2
u When you are registering a file name
• {RUN}/{BASE} ... {general calculation}/{number base} program input
•{
} ... {password registration}
• {SYMBOL} ... {symbol menu}
u When you are inputting a program —— 1(RUN) … default
• {TOP}/{BOTTOM} ... {top}/{bottom} of program
• {SEARCH} ... {search}
• {MENU} ... {mode menu}
• {STAT}/{MAT}/{LIST}/{GRAPH}/{DYNA}/{TABLE}/{RECURSION}
... {statistics}/{matrix}/{list}/{graph}/{Dynamic Graph}/{Table}/{recursion} menu
• {A⇔a} ... {toggles between upper-case and lower-case input}
• {CHAR} ... {displays a screen for selecting various mathematical symbols, special symbols,
and accented characters}
• Pressing !J(PRGM) displays the following program (PRGM) menu.
• {COMMAND} ... {program command menu}
• {CONTROL} ... {program control command menu}
• {JUMP} ... {jump command menu}
• {?}/{^} ... {input}/{output} command
• {CLEAR}/{DISPLAY} ... {clear}/{display} command menu
• {RELATNL} ... {conditional jump relational operator menu}
• {I/O} ... {I/O control/transfer command menu}
• {:} ... {multi-statement command}
• {STR} ... {string command}
See “Command Reference” on page 8-11 for full details on each of these commands.
• Pressing !m(SET UP) displays the mode command menu shown below.
• {ANGLE}/{COORD}/{GRID}/{AXES}/{LABEL}/{DISPLAY}/{SKT/LIN}/{DRAW}/{DERIV}/
{BACK}/{FUNC}/{SIMUL}/{SGV-WIN}/{LIST}/{LOCUS}/{TBL-VAR}/{ΣDISP}/{RESID}/
{COMPLEX}/{FRAC}/{Y=SPEED}/{DATE}/{PMT}/{PERIODS}/{INEQ}/{SIMP}/{Q1Q3}/{P/LCLR}
See “Setup Screen Function Key Menus” on page 1-32 for details about each of these
commands.
• Pressing !f(FORMAT) displays the color/paint command menu. For details, see “Using
Color Commands in a Program” (page 8-28) and “Using Paint Commands in a Program”
(page 8-29).
8-3
u When you are inputting a program —— 2(BASE)*
* Programs input after pressing 2(BASE) are indicated by B to the right of the file name.
• {TOP}/{BOTTOM}/{SEARCH}
• {MENU}
• {d~o} ... {decimal}/{hexadecimal}/{binary}/{octal} value input
• {LOGIC} ... {bitwise operator}
• {DISPLAY} ... conversion of displayed value to {decimal}/{hexadecimal}/{binary}/{octal}
• {A⇔a}/{SYMBOL}
• Pressing !J(PRGM) displays the following program (PRGM) menu.
• {Prog} ... {program recall}
• {JUMP}/{?}/{^}
• {RELATNL} ... {conditional jump relational operator menu}
• {:} ... {multi-statement command}
• Pressing !m(SET UP) displays the mode command menu shown below.
• {Dec}/{Hex}/{Bin}/{Oct}
• Pressing !f(FORMAT) displays the color command menu. For details, see “Using Color
Commands in a Program” (page 8-28).
3. Editing Program Contents
k Debugging a Program
A problem in a program that keeps the program from running correctly is called a “bug”,
and the process of eliminating such problems is called “debugging”. Either of the following
symptoms indicates that your program contains bugs that require debugging.
• Error messages appearing when the program is run
• Results that are not within your expectations
u To eliminate bugs that cause error messages
An error message, like the one shown to the right, appears
whenever something illegal occurs during program execution.
When such a message appears, press J to display the place in the program where the
error was caused. The cursor will be flashing at the location of the problem. Check the “Error
Message Table” (page α-1) for steps you should take to correct the situation.
8-4
• Note that pressing J does not display the location of the error if the program is password
protected.
u To eliminate bugs that cause bad results
If your program produces results that are not what you normally expect, check the contents of
the program and make necessary changes.
1(TOP) ........... Moves the cursor to the top of
the program
2(BOTTOM) ... Moves the cursor to the bottom
of the program
k Searching for Data Inside a Program
Example
To search for the letter “A” inside the program named OCTA
1. Recall the program.
2. Press 3(SEARCH) and input the data you want to find.
3(SEARCH)
av(A)
3. Press w to begin the search. The contents of the
program appear on the screen with the cursor located at
the first instance of the data you specified.*1
4. Each press of w or 1(SEARCH) causes the cursor to
jump to the next instance of the data you specified.*2
*1 The message “Not Found” appears when the search data you specify cannot be found in
the program.
*2 If there are no more instances of the data you specified, the search operation ends.
8-5
• You cannot specify the newline symbol (_) or display command (^) for the search data.
• Once the contents of the program are on the screen, you can use the cursor keys to move
the cursor to another location before searching for the next instance of the data. Only the
part of the program starting from the current cursor location is searched when you press w.
• Once the search finds an instance of your data, inputting characters or moving the cursor
causes the search operation to be cancelled.
• If you make a mistake while inputting characters to search for, press A to clear your input
and re-input from the beginning.
4. File Management
k Deleting a Program
u To delete a specific program
1. While the program list is on the display, use f and c to move the highlighting to the
name of the program you want to delete.
2. Press 4(DELETE).
3. Press 1(YES) to delete the selected program or 6(NO) to abort the operation without
deleting anything.
u To delete all programs
1. While the program list is on the display, press 5(DEL-ALL).
2. Press 1(YES) to delete all the programs in the list or 6(NO) to abort the operation
without deleting anything.
• You also can delete all programs by entering the Memory mode from the Main Menu. See
“Chapter 11 Memory Manager” for details.
8-6
k Searching for a File
u To find a file using initial character search
Example
To use initial character search to recall the program named OCTA
1. While the program list is on the display, press 6(g)1(SEARCH) and input the initial
characters of the file you want to find.
6(g)1(SEARCH)
j(O)I(C)/(T)
2. Press w to search.
• The name that starts with the characters you input
highlights.
• If there is no program whose file name starts with the characters you input, the message
“Not Found” appears on the display. If this happens, press J to clear the error message.
k Editing a File Name
1. While the program list is on the display, use f and c to move the highlighting to the file
whose name you want to edit and then press 6(g)2(RENAME).
2. Make any changes you want.
3. Press w to register the new name and return to the program list.
The program list is resorted according to the changes you made in the file name.
• If the modifications you make result in a file name that is identical to the name of a program
already stored in memory, the message “Already Exists” appears. When this happens, press
J or A to clear the input file name and input a new one.
k Converting Programs and Text Files
You can convert programs created on this calculator to a text file, and then use a text editor
or other application on your computer to edit them. You also can convert text files created and
edited on your computer to a program that can be run by the calculator.
8-7
u Program and Text File Conversion Rules
Conversion of program and text files is subject to the following rules.
• Certain characters in the program name are automatically replaced and the result is
assigned as the file name whenever you convert a program to a text file. When you convert
from a text file to a program, the program name is assigned by converting in the opposite
direction.
Program Name Characters
Text File Name Characters
r
_r_
_t_
_s_
_q_
_p_
_x_
_d_
_+_
_-_
Leading/trailing spaces
"
Leading/trailing dots
×
÷
+
−
• The following header information is added to the text file when converting from a program to
a text file.
'Program Mode: RUN (RUN Mode program)
'Program Mode: BASE (BASE Mode program)
• Converting a text file that contains the above header information to a program converts to a
program of the mode specified in the header information. The header information line text is
not included in the converted program.
• Converting a program to a text file causes all CASIO scientific function calculator-specific
commands in the program to be replaced by special corresponding character strings.
Conversely, converting from a text file to a program converts the special character strings
back to their corresponding commands. For information about program commands and their
corresponding special character strings, see “CASIO Scientific Function Calculator Special
Commands ⇔ Text Conversion Table” (page 8-59).
u To convert a program to a text file
1. In the program list, use f and c to move the highlighting to the name of the program
you want to convert to a text file.
2. Press 6(g)3(SAVE • AS).
• This starts conversion to a text file. The message “Complete!” appears after conversion is
complete. To close the message dialog box, press J.
• The resulting text file is stored in the storage memory’s PROGRAM folder, under a name
that is basically the same as the original file, except for certain special characters. For
details about special character exceptions, see “Program and Text File Conversion Rules”
above.
8-8
Important!
A program that is password protected cannot be converted to a text file. To convert a
password protected file, first use the procedure under “To remove password protection from a
program” (page 8-10) to remove password protection and then convert it.
u Auto Conversion from Text Files to Programs
Whenever you terminate the USB connection between the calculator and computer, all of the
text files that were transferred from the computer to Storage Memory\@MainMem\PROGRAM\
while they were connected will be automatically converted to programs and stored in the
calculator’s main memory.
For details, see “Transferring Data between the Calculator and a Personal Computer” (page
13-5).
u To convert a text file to a program
Important!
Using the procedure below to convert a text file to a program will create and save a program
under a name that is basically the same as the original file, except for certain special
characters. For details about special character exceptions, see “Program and Text File
Conversion Rules” (page 8-8).
If there is already a program in memory with the same name as the program created by
the conversion process, the existing program will be overwritten automatically with the new
program. If you do not want such an existing program to be overwritten, use the program list to
change its name before performing this procedure.
1. Copy the text file you want to convert to a program to the calculator’s storage memory root
directory.
• For information about the procedure for copying files from a computer or another
calculator to this calculator’s storage memory, see “Chapter 13 Data Communication”.
2. From the Main Menu, enter the Program mode.
3. On the program list, press 6(g)4(LOAD).
• This displays a list of folders and text files currently in the storage memory root directory.
4. Use f and c to move the highlighting to the text file you want to convert and then press
1(OPEN).
8-9
k Registering a password
When inputting a program, you can protect it with a password that limits access to the program
contents to those who know the password.
• You do not need to input the password to run a program.
• The password input procedure is identical to that used for file name input.
u To password protect a program as you are creating it
1. While the program list is on the display, press 3(NEW) and input the file name of the new
program file.
2. Press 5(
) and then input the password.
3. Press w to register the file name and password. Now you can input the contents of the
program file.
4. After inputting the program, press !J(QUIT) to
exit the program file and return to the program list.
Files that are password protected are indicated by an
asterisk to the right of the file name.
u To password protect an existing program
1. In the program list, use f and c to move the highlighting to the name of the program
you want to password protect.
2. Press 6(g)5(
) and then input the password.
3. Press w to register the password.
• This returns to the program list.
u To remove password protection from a program
1. In the program list, use f and c to move the highlighting to the name of the program
whose password you want to remove.
2. Press 6(g)5(
) and then input the programs current password.
3. To remove password protection, press w.
• This returns to the program list.
8-10
k Recalling a Password Protected Program
1. In the program list, use f and c to move the highlighting to the name of the program
you want to recall.
2. Press 2(EDIT).
3. Input the password and press w to recall the program.
• Inputting the wrong password when recalling a password protected program causes the
message “Mismatch” to appear.
5. Command Reference
k Command Index
Break....................................................8-15
RclCapt ................................................8-27
CloseComport38k ................................8-24
Receive( ...............................................8-24
ClrGraph ..............................................8-19
Receive38k ..........................................8-24
ClrList ..................................................8-19
Return ..................................................8-16
ClrMat ..................................................8-20
Send( ...................................................8-24
ClrText .................................................8-20
Send38k ...............................................8-24
DispF-Tbl, DispR-Tbl ...........................8-20
Stop .....................................................8-17
Do~LpWhile .........................................8-14
StrCmp(................................................8-25
DrawDyna ........................................... 8-20
StrInv( ..................................................8-26
DrawFTG-Con, DrawFTG-Plt ..............8-20
StrJoin(.................................................8-26
DrawGraph ..........................................8-21
StrLeft( .................................................8-26
DrawR-Con, DrawR-Plt .......................8-21
StrLen( .................................................8-26
DrawRΣ-Con, DrawRΣ-Plt ...................8-21
StrLwr( .................................................8-26
DrawStat ..............................................8-21
StrMid( .................................................8-26
DrawWeb ............................................ 8-21
StrRight( ...............................................8-26
Dsz (Count Jump) ................................8-17
StrRotate(.............................................8-27
Exp(......................................................8-25
StrShift( ................................................8-27
Exp'Str( .............................................8-25
StrSrc( ..................................................8-27
For~To~(Step~)Next ............................8-14
StrUpr( .................................................8-27
Getkey .................................................8-22
While~WhileEnd ..................................8-15
Goto~Lbl ..............................................8-17
? (Input Command) ..............................8-12
If~Then~(Else~)IfEnd ..........................8-13
^ (Output Command) .........................8-12
Isz (Count Jump)..................................8-18
: (Multi-statement Command) ..............8-13
Locate ..................................................8-23
_ (Carriage Return) ...........................8-13
Menu ....................................................8-19
’ (Comment Text Delimiter) ..................8-13
OpenComport38k ................................8-24
S (Jump Code) ...................................8-18
Prog .....................................................8-16
=, ≠, >, <, ≥, ≤ (Relational Operators) ..8-24
PlotPhase.............................................8-22
+ (Joins two strings) .............................8-27
8-11
The following are conventions that are used in this section when describing the various
commands.
{Curly Brackets} ........... Curly brackets are used to enclose a number of items, one of which
must be selected when using a command. Do not input the curly
brackets when inputting a command.
[Square Brackets] ........ Square brackets are used to enclose items that are optional. Do not
input the square brackets when inputting a command.
Numeric Expressions ... Numeric expressions (such as 10, 10 + 20, A) indicate constants,
calculations, numeric constants, etc.
Alpha Characters ......... Alpha characters indicate literal strings (such as AB).
k Basic Operation Commands
? (Input Command)
Function: Prompts for input of values for assignment to variables during program execution.
Syntax: ? → , "" ? →
Example: ? → A
Description:
• This command momentarily interrupts program execution and prompts for input of a value
or expression for assignment to a variable. If you do not specify a prompt, execution of this
command causes “?” to appear indicating the calculator is standing by for input. If a prompt
is specified, “?” appears to prompt input. Up to 255 bytes of text can be used for a
prompt.
• Input in response to the input command must be a value or an expression, and the
expression cannot be a multi-statement.
• You can specify a list name, matrix name, string name, function memory (fn), graph (Yn),
etc. as a variable name.
^ (Output Command)
Function: Displays an intermediate result during program execution.
Description:
• This command momentarily interrupts program execution and displays alpha character text
or the result of the calculation immediately before the command.
• The output command should be used at locations where you would normally press the w
key during a manual calculation.
8-12
: (Multi-statement Command)
Function: Connects two statements for sequential execution without stopping.
Description:
• Unlike the output command (^), statements connected with the multi-statement command
are executed non-stop.
• The multi-statement command can be used to link two calculation expressions or two
commands.
• You can also use a carriage return indicated by _ in place of the multi-statement command.
_ (Carriage Return)
Function: Connects two statements for sequential execution without stopping.
Description:
• Operation of the carriage return is identical to that of the multi-statement command.
• You can create a blank line in a program by inputting a carriage return only. Using a carriage
return in place of the multi-statement command makes the displayed program easier to read.
’ (Comment Text Delimiter)
Function: Indicates comment text inserted inside a program.
Description: Anything following the apostrophe is treated as non-executable comment text.
k Program Commands (COMMAND)
If~Then~(Else~)IfEnd
Function: The Then-statement is executed only when the If-condition is true (non-zero). The
Else-statement is executed when the If-condition is false (0). The IfEnd-statement is always
executed following either the Then-statement or Else-statement.
Syntax:
If
numeric expression
_
:
^
_
:
^
Then
Else
8-13
_
:
^
_
:
^
_
:
^
IfEnd
Parameters: condition, numeric expression
Description:
(1) If ~ Then ~ IfEnd
• When the condition is true, execution proceeds with the Then-statement and then
continues with the statement following IfEnd.
• When the condition is false, execution jumps to the statement following IfEnd.
(2) If ~ Then ~ Else ~ IfEnd
• When the condition is true, execution proceeds with the Then-statement and then jumps
to the statement following IfEnd.
• When the condition is false, execution jumps to the Else-statement and then continues
with the statement following IfEnd.
For~To~(Step~)Next
Function: This command repeats everything between the For-statement and the Nextstatement. The starting value is assigned to the control variable with the first execution, and
the value of the control variable is changed according to the step value with each execution.
Execution continues until the value of the control variable exceeds the ending value.
Syntax: For → To
_
Step : Next
^
Parameters:
• control variable name: A to Z, r,
• starting value: value or expression that produces a value (i.e. sin x, A, etc.)
• ending value: value or expression that produces a value (i.e. sin x, A, etc.)
• step value: numeric value (default: 1)
Description:
• The default step value is 1.
• Making the starting value less than the ending value and specifying a positive step value
causes the control variable to be incremented with each execution. Making the starting
value greater than the ending value and specifying a negative step value causes the control
variable to be decremented with each execution.
Do~LpWhile
Function: This command repeats specific commands as long as its condition is true (nonzero).
Syntax:
Do
_
:
^
_
:
^
LpWhile
numeric expression
8-14
Parameters: expression
Description:
• This command repeats the commands contained in the loop as long as its condition is true
(non-zero). When the condition becomes false (0), execution proceeds from the statement
following the LpWhile-statement.
• Since the condition comes after the LpWhile-statement, the condition is tested (checked)
after all of the commands inside the loop are executed.
While~WhileEnd
Function: This command repeats specific commands as long as its condition is true (nonzero).
Syntax:
While
numeric expression
_
:
^
_
:
^
WhileEnd
Parameters: expression
Description:
• This command repeats the commands contained in the loop as long as its condition is true
(non-zero). When the condition becomes false (0), execution proceeds from the statement
following the WhileEnd-statement.
• Since the condition comes after the While-statement, the condition is tested (checked) before
the commands inside the loop are executed.
k Program Control Commands (CONTROL)
Break
Function: This command breaks execution of a loop and continues from the next command
following the loop.
Syntax: Break
Description:
• This command breaks execution of a loop and continues from the next command following
the loop.
• This command can be used to break execution of a For-statement, Do-statement, and Whilestatement.
8-15
Prog
Function: This command specifies execution of another program as a subroutine. In the
Run-Matrix mode, this command executes a new program.
Syntax: Prog "file name"
Example: Prog "ABC"
Description:
• Even when this command is located inside of a loop, its execution immediately breaks the
loop and launches the subroutine.
• This command can be used as many times as necessary inside of a main routine to call up
independent subroutines to perform specific tasks.
• A subroutine can be used in multiple locations in the same main routine, or it can be called
up by any number of main routines.
Main Routine
A
Subroutines
D
Prog "D"
Prog "C"
C
E
Prog "E"
Prog "I"
Level 1 Level 2
I
J
Prog "J"
Level 3
Level 4
• Calling up a subroutine causes it to be executed from the beginning. After execution of the
subroutine is complete, execution returns to the main routine, continuing from the statement
following the Prog command.
• A Goto~Lbl command inside of a subroutine is valid inside of that subroutine only. It cannot
be used to jump to a label outside of the subroutine.
• If a subroutine with the file name specified by the Prog command does not exist, an error
occurs.
• In the Run-Matrix mode, inputting the Prog command and pressing w launches the
program specified by the command.
Return
Function: This command returns from a subroutine.
Syntax: Return
Description: Execution of the Return command inside a main routine causes execution of
the program to stop. Execution of the Return command within a subroutine terminates the
subroutine and returns to the program from which the subroutine was jumped to.
8-16
Stop
Function: This command terminates execution of a program.
Syntax: Stop
Description:
• This command terminates program execution.
• Execution of this command inside of a loop terminates program execution without an error
being generated.
k Jump Commands (JUMP)
Dsz (Count Jump)
Function: This command is a count jump that decrements the value of a control variable by 1,
and then jumps if the current value of the variable is zero.
Syntax:
Variable Value ≠ 0
_
Dsz : :
^
Variable Value = 0
Parameters: variable name: A to Z, r, θ
[Example] Dsz B : Decrements the value assigned to variable B by 1.
Description: This command decrements the value of a control variable by 1, and then tests
(checks) it. If the current value is non-zero, execution continues with the next statement.
If the current value is zero, execution jumps to the statement following the multi-statement
command (:), display command (^), or carriage return (_).
Goto~Lbl
Function: This command performs an unconditional jump to a specified location.
Syntax: Goto ~ Lbl
Parameters: label name: value (0 to 9), variable (A to Z, r, θ)
Description:
• This command consists of two parts: Goto n (where n is a parameter as described above)
and Lbl n (where n is the parameter referenced by Goto n). This command causes program
execution to jump to the Lbl-statement whose n parameter matches that specified by the
Goto-statement.
• This command can be used to loop back to the beginning of a program or to jump to any
location within the program.
• This command can be used in combination with conditional jumps and count jumps.
• If there is no Lbl-statement whose value matches that specified by the Goto-statement, an
error occurs.
8-17
Isz (Count Jump)
Function: This command is a count jump that increments the value of a control variable by 1,
and then jumps if the current value of the variable is zero.
Syntax:
Variable Value ≠ 0
_
Isz : :
^
Variable Value = 0
Parameters: variable name: A to Z, r, θ
[Example] Isz A : Increments the value assigned to variable A by 1.
Description: This command increments the value of a control variable by 1, and then tests
(checks) it. If the current value is non-zero, execution continues with the next statement.
If the current value is zero, execution jumps to the statement following the multi-statement
command (:), display command (^), or carriage return (_).
⇒ (Jump Code)
Function: This code is used to set up conditions for a conditional jump. The jump is executed
whenever the conditions are false.
Syntax:
True
_
⇒ :
^
False
Parameters:
• left side/right side: variable (A to Z, r, θ), numeric constant, variable expression (such as:
A × 2)
• relational operator: =, ≠, >, <, ≥, ≤ (page 8-24)
Description:
• The conditional jump compares the contents of two variables or the results of two
expressions, and a decision is made whether or not to execute the jump based on the results
of the comparison.
• If the comparison returns a true result, execution continues with the statement following
the ⇒ command. If the comparison returns a false result, execution jumps to the statements
following the multi-statement command (:), display command (^), or carriage return (_).
8-18
Menu
Function: Creates a branching menu in a program.
Syntax: Menu "", "", ,
"" ,, ... , "",
Parameters: value (0 to 9), variable (A to Z, r, θ)
Description:
• Each "" , part is a branch set, and the entire
branch set must be included.
• From two to nine branching sets can be included. An error occurs when there is only one or
more than nine branching sets.
• Selecting a branch on the menu while the program is running jumps to the same type of label
(Lbl n) as the one used in combination with the Goto command. Specifying “"OK", 3” for the
“"", ” part specifies a jump to Lbl 3.
Example: Lbl 2_
Menu "IS IT DONE?", "OK", 1, "EXIT", 2_
Lbl 1_
"IT’S DONE !"
k Clear Commands (CLEAR)
ClrGraph
Function: This command clears the graph screen.
Syntax: ClrGraph
Description: This command clears the graph screen during program execution.
ClrList
Function: This command deletes list data.
Syntax: ClrList
ClrList
Parameters: list name: 1 to 26, Ans
Description: This command deletes the data in the list specified by “list name”. All list data is
deleted if nothing is specified for “list name”.
8-19
ClrMat
Function: This command deletes matrix data.
Syntax: ClrMat
ClrMat
Parameters: matrix name: A to Z, Ans
Description: This command deletes the data in the matrix specified by “matrix name”. All
matrix data is deleted if nothing is specified for “matrix name”.
ClrText
Function: This command clears the text screen.
Syntax: ClrText
Description: This command clears text from the screen during program execution.
k Display Commands (DISPLAY)
DispF-Tbl, DispR-Tbl
No parameters
Function: These commands display numeric tables.
Description:
• These commands generate numeric tables during program execution in accordance with
conditions defined within the program.
• DispF-Tbl generates a function table, while DispR-Tbl generates a recursion table.
DrawDyna
No parameters
Function: This command executes a Dynamic Graph draw operation.
Description: This command draws a Dynamic Graph during program execution in accordance
with the drawing conditions defined within the program.
DrawFTG-Con, DrawFTG-Plt
No parameters
Function: This command uses values in a generated table to graph a function.
Description:
• This command draws a function graph in accordance with conditions defined within the
program.
• DrawFTG-Con produces a connect type graph, while DrawFTG-Plt produces a plot type
graph.
8-20
DrawGraph
No parameters
Function: This command draws a graph.
Description: This command draws a graph in accordance with the drawing conditions defined
within the program.
DrawR-Con, DrawR-Plt
No parameters
Function: These commands graph recursion expressions, with an (bn or cn) as the vertical axis
and n as the horizontal axis.
Description:
• These commands graph recursion expressions in accordance with conditions defined within
the program, with an (bn or cn) as the vertical axis and n as the horizontal axis.
• DrawR-Con produces a connect type graph, while DrawR-Plt produces a plot type graph.
DrawRΣ-Con, DrawRΣ-Plt
No parameters
Function: These commands graph recursion expressions, with Σan (Σbn or Σcn) as the vertical
axis and n as the horizontal axis.
Description:
• These commands graph recursion expressions in accordance with conditions defined within
the program, with Σan (Σbn or Σcn) as the vertical axis and n as the horizontal axis.
• DrawRΣ-Con produces a connect type graph, while DrawRΣ-Plt produces a plot type graph.
DrawStat
Function: This draws a statistical graph.
Syntax: See “Using Statistical Calculations and Graphs in a Program” on page 8-35.
Description: This command draws a statistical graph in accordance with conditions defined
within the program.
DrawWeb
Function: This command graphs convergence/divergence of a recursion expression (WEB
graph).
Syntax: DrawWeb [, ]
Example: DrawWeb an+1 (bn+1 or cn+1), 5
Description:
• This command graphs convergence/divergence of a recursion expression (WEB graph).
• Omitting the number of lines specification automatically specifies the default value 30.
8-21
PlotPhase
Function: Graphs a phase plot based on numeric sequences that correspond to the x-axis
and y-axis.
Syntax: PlotPhase ,
Description:
• Only the following commands can be input for each argument to specify the recursion table.
an, bn, cn, an+1, bn+1, cn+1, an+2, bn+2, cn+2, Σan, Σbn, Σcn, Σan+1, Σbn+1, Σcn+1, Σan+2, Σbn+2, Σcn+2
• A Memory ERROR occurs if you specify a numeric sequence name that does not have
values stored in the recursion table.
Example: PlotPhase Σbn+1, Σan+1
Graphs a phase plot using Σbn+1 for the x-axis and Σan+1 for the y-axis.
k Input/Output Commands (I/O)
Getkey
Function: This command returns the code that corresponds to the last key pressed.
Syntax: Getkey
Description:
• This command returns the code that corresponds to the last key pressed.
• A value of zero is returned if no key was pressed previous to executing this command.
• This command can be used inside of a loop.
8-22
Locate
Function: This command displays alpha-numeric characters at a specific location on the text
screen.
Syntax: Locate , ,
Locate , ,
Locate , , ""
[Example] Locate 1, 1, "AB"
Parameters:
• line number: number from 1 to 7
• column number: number from 1 to 21
• value and numeric expression
• string: character string
Description:
• This command displays values (including variable contents) or text at a specific location on
the text screen. If there is a calculation input, that calculation result is displayed.
• The line is designated by a value from 1 to 7, while the column is designated by a value from
1 to 21.
(1, 1) →
← (21, 1)
(1, 7) →
← (21, 7)
Example: Cls_
Blue Locate 7, 1, "CASIO FX"
This program displays the text “CASIO FX” in blue, in the center of the screen.
• In some cases, the ClrText command should be executed before running the above
program.
8-23
Receive( / Send(
Function: This command receives data from and sends data to a connected device.
Syntax: Receive() / Send()
Description:
• This command receives data from and sends data to a connected device.
• The following types of data can be received (sent) by this command.
• Individual values assigned to variables
• Matrix data (all values - individual values cannot be specified)
• List data (all values - individual values cannot be specified)
OpenComport38k / CloseComport38k
Function: Opens and closes the 3-pin COM port (serial).
Description: See the Receive38k/Send38k command below.
Receive38k / Send38k
Function: Executes data send and receive at a data rate of 38 kbps.
Syntax: Send38k
Receive38k
Description:
• The OpenComport38k command must be executed before this command is executed.
• The CloseComport38k command must be executed after this command is executed.
• If this command is executed when the communication cable is not connected, program
execution will continue without generating an error.
k Conditional Jump Relational Operators (RELATNL)
=, ≠, >, <, ≥, ≤
Function: These relational operators are used in combination with the conditional jump
command.
Syntax:
Parameters:
• left side/right side: variable (A to Z, r, θ), numeric constant, variable expression (such as:
A × 2)
• relational operator: =, ≠, >, <, ≥, ≤
8-24
k Strings
A string is a series of characters enclosed in double quotes. In a program, strings are used
to specify display text. A string made up of numbers (like "123") or an expression (like "x–1")
cannot be processed as a calculation.
To display a string at a specific location on the screen, use the Locate command (page 8-23).
• To include double quotes (") or a backslash (\) in a string, put a backslash (\) in front of the
double quotes (") or backslash (\).
Example 1: To include Japan: “Tokyo” in a string
"Japan:\"Tokyo\""
Example 2: To include main\abc in a string
"main\\abc"
You can input a backslash from the menu that appears when you press 6(CHAR)
2(SYMBOL) in the Program mode, or from the String category of the catalog that appears
when you press !e(CATALOG).
• You can assign strings to string memory (Str 1 through Str 20). For details about strings, see
“String Memory” (page 2-8).
• You can use the “+” command (page 8-27) to connect strings inside of an argument.
• A function or command within a string function (Exp(, StrCmp(, etc.) is treated as a single
character. For example, the “sin” function is treated as a single character.
Exp(
Function: Converts a string to an expression, and executes the expression.
Syntax: Exp(""[)]
Exp'Str(
Function: Converts a graph expression to a string and assigns it to the specified variable.
Syntax: Exp'Str(, [)]
Description: A graph expression (Yn, r, Xt, Yt, X), recursion formula (an, an+1, an+2, bn, bn+1, bn+2,
cn, cn+1, cn+2), or function memory (fn) can be used as the first argument ().
StrCmp(
Function: Compares “” and “” (character code comparison).
Syntax: StrCmp("", ""[)]
Description: Compares two strings and returns one of the following values.
Returns 0 when “” = “”.
Returns 1 when “” > “”.
Returns –1 when “” < “”.
8-25
Strlnv(
Function: Inverts the sequence of a string.
Syntax: StrInv(""[)]
StrJoin(
Function: Joins “” and “”.
Syntax: StrJoin("", ""[)]
Note: The same result also can be achieved using the “+” command (page 8-27).
StrLeft(
Function: Copies a string up to the nth character from the left.
Syntax: StrLeft("", n[)]
(0 < n < 9999, n is a natural number)
StrLen(
Function: Returns the length of a string (the number of its characters).
Syntax: StrLen(""[)]
StrLwr(
Function: Converts all the characters of a string to lower case.
Syntax: StrLwr(""[)]
StrMid(
Function: Extracts from the n-th to the m-th character of a string.
Syntax: StrMid("", n [,m)] (1 < n < 9999, 0 < m < 9999, n and m are natural numbers)
Description: Omitting “m” will extract from the n-th character to the end of the string.
StrRight(
Function: Copies a string up to the nth character from the right.
Syntax: StrRight("", n[)]
(0 < n < 9999, n is a natural number)
8-26
StrRotate(
Function: Rotates the left side part and right side part of a string at the nth character.
Syntax: StrRotate("", [,n)]
(–9999 < n < 9999, n is an integer)
Description: Rotation is to the left when “n” is positive, and to the right when “n” is negative.
Omitting “n” uses a default value of +1.
Example: StrRotate("abcde", 2) ........ Returns the string “cdeab”.
StrShift(
Function: Shifts a string left or right n characters.
Syntax: StrShift("", [,n)]
(–9999 < n < 9999, n is an integer)
Description: Shift is to the left when “n” is positive, and to the right when “n” is negative.
Omitting “n” uses a default value of +1.
Example: StrShift("abcde", 2) ........ Returns the string “cde”.
StrSrc(
Function: Searches “” starting from the specified point (nth character from
beginning of string) to determine if it contains the data specified by “”. If the data is
found, this command returns the location of the first character of “”, starting from the
beginning of “”.
Syntax: StrSrc("", ""[,n)]
(1 < n < 9999, n is a natural number)
Description: Omitting the start point causes the search to start from the beginning of
“”.
StrUpr(
Function: Converts all the characters of a string to upper case.
Syntax: StrUpr(""[)]
+ (Joins two strings)
Function: Joins “” and “”.
Syntax: ""+""
Example: "abc"+"de"→Str 1 .......... Assigns “abcde” to Str 1.
k Other
RclCapt
Function: Displayed the contents specified by the capture memory number.
Syntax: RclCapt
8-27
(capture memory number: 1 to 20)
6. Using Calculator Functions in Programs
k Using Color Commands in a Program
Color commands let you specify colors for on-screen lines, text, and other display elements.
The following color commands are supported.
RUN Mode: Black, Blue, Red, Magenta, Green, Cyan, Yellow, ColorAuto, ColorClr
BASE Mode: Black, Blue, Red, Magenta, Green, Cyan, Yellow
• Color commands are input with the dialog box shown below, which appears when you press
!f(FORMAT)b(Color Command) (!f(FORMAT) in a BASE Mode program).
For example, the following key operation would input the color command Blue.
RUN Mode: !f(FORMAT)b(Color Command)c(Blue)
BASE Mode: !f(FORMAT)c(Blue)
• Except for ColorAuto and ColorClr, color commands can be used in a program in
combination with the commands described below.
- Manual graph commands (page 5-25)
You can specify the color of a manual graph by placing a color command
before “Graph Y=” or any other graph commands that can be input following
!4(SKETCH)5(GRAPH).
Example: Red Graph Y = X2 − 1
- Sketch Commands
You can specify the draw color of a figure drawn with a Sketch command by placing a color
command before the following Sketch commands.
Tangent, Normal, Inverse, PlotOn, PlotChg, F-Line, Line, Circle, Vertical, Horizontal, Text,
PxlOn, PxlChg, SketchNormal, SketchThick, SketchBroken, SketchDot, SketchThin
Example: Green SketchThin Circle 2, 1, 2
- List Command
You can specify a color for a list using the syntaxes shown below.
List n (n = 1 to 26)
List "sub name"
You can specify a color for a specific element in a list using the syntaxes shown below.
List n [] (n = 1 to 26)
List "sub name" []
Example: Blue List 1
Red List 1 [3]
8-28
-
The following commands can also be used together with color commands. Refer to the
pages noted in parentheses for more information.
"" (“Text Display”, page 8-30), Locate (page 8-23), SetG-Color (page 8-32), Plot/
Line-Color (page 8-32)
• Color commands also can be used when drawing graphs using Graph mode or Statistics
mode functions in a program. For details, see “Using Graph Functions in a Program” (page
8-32) and “Using Statistical Calculations and Graphs in a Program” (page 8-35).
k Using Paint Commands in a Program
Paint commands provide you with the means to add shading to graphs. The following are the
two paint commands.
ColorNormal, ColorLighter
• Paint commands are input with the dialog box shown below, which appears when you press
!f(FORMAT)c(Paint Command).
For example, the following key operation would input the paint command ColorLighter.
!f(FORMAT)c(Paint Command)c(Lighter)
• For details about syntaxes that can include paint commands, see “Using Statistical
Calculations and Graphs in a Program” (page 8-35).
8-29
k Text Display
You can include text in a program by simply enclosing it between double quotation marks.
Such text appears on the display during program execution, which means you can add labels
to input prompts and results.
Program
Display
"CASIO"
CASIO
?→X
?
"X =" ? → X
X=?
• The example below shows how you specify the display color of a text string by inserting a
color command before the string in the program.
Blue "CASIO"
• If the text is followed by a calculation formula, be sure to insert a display command (^)
between the text and calculation.
• Inputting more than 21 characters causes the text to move down to the next line.
• You can specify up to 255 bytes of text for a comment.
k Using Matrix Row Operations in a Program
These commands let you manipulate the rows of a matrix in a program.
• For this program, enter the Run-Matrix mode and then use the Matrix Editor to input the
matrix, and then enter the Program mode to input the program.
u To swap the contents of two rows (Swap)
Example 1
To swap the values of Row 2 and Row 3 in the following matrix:
Matrix A =
1
2
3
4
5
6
The following is the syntax to use for this program.
Swap A, 2, 3_
Rows to be swapped
Matrix name
Mat A
8-30
Executing this program produces the following result.
u To calculate a scalar multiplication (`Row)
Example 2
To calculate the product of Row 2 of the matrix in Example 1 and the
scalar 4
The following is the syntax to use for this program.
`Row 4, A, 2_
Row
Matrix name
Multiplier
Mat A
u To calculate a scalar multiplication and add the results to another row
(`Row+)
Example 3
To calculate the product of Row 2 of the matrix in Example 1 and the
scalar 4, then add the result to row 3
The following is the syntax to use for this program.
`Row+ 4, A, 2, 3_
Rows to be added
Row for which scalar multiplication is to be calculated
Matrix name
Multiplier
Mat A
u To add two rows (Row+)
Example 4
To add Row 2 to Row 3 of the matrix in Example 1
The following is the syntax to use for this program.
Row+ A, 2, 3_
Row number to be added to
Row number to be added
Matrix name
Mat A
8-31
k Using Graph Functions in a Program
You can incorporate graph functions into a program to draw complex graphs and to overlay
graphs on top of each other. The following shows various types of syntax you need to use
when programming with graph functions.
• V-Window
View Window –5, 5, 1, –5, 5, 1_
• Graph Color
SetG-Color Green_
• Graph function input
Y = Type_ ....................Specifies graph type.
"X2 – 3" → Y1*1_
• Graph draw operation
DrawGraph
*1 Input this Y1 with J4(GRAPH)1(Y)b (displayed as
if you input “Y” with the calculator keys.
). A Syntax ERROR will occur
u Syntax of other graphing functions
• V-Window
View Window , , , , , ,
, ,
StoV-Win ............... area: 1 to 6
RclV-Win ............... area: 1 to 6
• Graph Color
SetG-Color
• Zoom
Factor ,
ZoomAuto........................................ Non-parameter
• Pict
StoPict ................. area: 1 to 20
StoPict "folder name\file name"
RclPict ............... area: 1 to 20
RclPict "folder name\file name"
• Sketch
Plot/Line-Color
Plot ,
PlotOn ,
PlotOff ,
PlotChg ,
PxlOn ,
PxlOff ,
PxlChg ,
PxlTest(, [)]
Text , , ""
Text , ,
................line number: 1 to 187, column number: 1 to 379
8-32
SketchThick
SketchBroken
SketchDot
SketchNormal
SketchThin
Tangent ,
Normal ,
Inverse
Line .................. Non-parameter
F-Line , , ,
Circle , ,
Vertical
Horizontal
k Using Background Picture in a Program
You can change the “Background” setting on the Setup screen from a program.
• Syntax when a background image is displayed
BG-Pict [,a] ... area: 1 to 20
BG-Pict "folder name\file name" [,a]
Appending “a” at the end loads V-Window values (that are saved with the image data) when
the background image is displayed.
• Syntax when a background image is not displayed (or hidden)
BG-None
k Using Dynamic Graph Functions in a Program
Using Dynamic Graph functions in a program makes it possible to perform repeated Dynamic
Graph operations. The following shows how to specify the Dynamic Graph range inside a
program.
• Dynamic Graph range
1 → D Start_
5 → D End_
1 → D pitch_
8-33
k Using Table & Graph Functions in a Program
Table & Graph functions in a program can generate numeric tables and perform graphing
operations. The following shows various types of syntax you need to use when programming
with Table & Graph functions.
• Table range setting
• Graph draw operation
1 → F Start_
Connect type: DrawFTG-Con
5 → F End_
Plot type: DrawFTG-Plt
1 → F pitch_
• Numeric table generation
DispF-Tbl
k Using Recursion Table & Graph Functions in a Program
Incorporating Recursion Table & Graph functions in a program lets you generate numeric
tables and perform graphing operations. The following shows various types of syntax you
need to use when programming with Recursion Table & Graph functions.
• Recursion formula input
an+1 Type_ .... Specifies recursion type.
"3an + 2" → an+1_
"4bn + 6" → bn+1_
• Table range setting
• Numeric table generation
1 → R Start_
5 → R End_
DispR-Tbl
• Graph draw operation
1 → a0_
Connect type: DrawR-Con, DrawRΣ-Con
2 → b0_
Plot type: DrawR-Plt, DrawRΣ-Plt
1 → an Start_
3 → bn Start_
• Statistical convergence/divergence graph
(WEB graph)
DrawWeb an+1, 10
8-34
k Using List Sort Functions in a Program
These functions let you sort data in lists into ascending or descending order.
• Ascending order
SortA (List 1, List 2, List 3)
Lists to be sorted (up to six can be specified)
• Descending order
SortD (List 1, List 2, List 3)
Lists to be sorted (up to six can be specified)
k Using Statistical Calculations and Graphs in a Program
Including statistical calculations and graphing operations in a program lets you calculate and
graph statistical data.
u To set conditions and draw a statistical graph
Following a StatGraph command (“S-Gph1”, “S-Gph2”, or “S-Gph3”), you must specify the
following graph conditions:
• Graph draw/non-draw status (DrawOn/DrawOff)
• Graph Type
• x-axis data location (list name)
• y-axis data location (list name)
• Frequency data location (list name)
• Mark Type
• ColorLink setting (X&Y, OnlyX, OnlyY, On, Off, X&Freq)
• Graph Color setting (one of the seven colors* or ColorAuto)
When “Pie” is specified for the Graph Type:
• Display setting (% or Data)
• Percent data storage list specification (None or list name)
When “Pie” or “Hist” is specified for the Graph Type:
• Area color setting (one of the seven colors* or ColorAuto)
• Paint style setting (ColorNormal, ColorLighter)
• Border color setting (one of the seven colors* or ColorClr)
8-35
When “MedBox” is specified for the Graph Type:
• Outliers On/Off setting
• Box color setting (one of the seven colors*)
• Whisker color setting (one of the seven colors*)
• Outliers color setting (one of the seven colors*)
• Box inside color setting (one of the seven colors* or ColorAuto)
• Box inside paint setting (ColorNormal, ColorLighter)
When “Bar” is specified for the Graph Type:
• First bar graph data (list name)
• Second and third bar graph data (list name)
• Bar graph orientation (Length or Horizontal)
• Area color settings for each data (one of the seven colors* or ColorAuto)
• Paint style settings for each data (ColorNormal, ColorLighter)
• Border color settings for each data (one of the seven colors* or ColorClr)
* Black, Blue, Red, Magenta, Green, Cyan, Yellow
The graph conditions that are required depends on the graph type. See “General Graph
Settings” (page 6-2).
• The following is a typical graph condition specification for a scatter diagram or xyLine graph.
S-Gph1 DrawOn, Scatter, List 1, List 2, 1, Square, ColorLinkOff, ColorAuto
In the case of an xy line graph, replace “Scatter” in the above specification with “xyLine”.
• The following is a typical graph condition specification for a normal probability plot.
S-Gph1 DrawOn, NPPlot, List 1, Square, ColorLinkOff, Blue
• The following is a typical graph condition specification for a histogram.
S-Gph1 DrawOn, Hist, List 1, List 2, ColorLinkOff, Blue ColorLighter
• The following is a typical graph condition specification for a broken graph.
S-Gph1 DrawOn, Broken, List 1, List 2, ColorLinkOff, Blue
• The following is a typical graph condition specification for a normal distribution graph.
S-Gph1 DrawOn, N-Dist, List 1, List 2, Blue
• The following is a typical graph condition specification for a med-box graph.
S-Gph1 DrawOn, MedBox, List 1, List 2, 1, Yellow, Green, Blue, Red
Outliers On/Off (1: On, 0: Off)
Outliers color
Box color
Whisker color
Box inside color
8-36
• The following is a typical graph condition specification for a regression graph.
S-Gph1 DrawOn, Linear, List 1, List 2, List 3, Blue
The same format can be used for the following types of graphs, by simply replacing “Linear”
in the above specification with the applicable graph type.
Linear Regression .......... Linear
Logarithmic Regression ...... Log
Med-Med......................... Med-Med
Exponential Regression ...... ExpReg(a·eˆbx)
ExpReg(a·bˆx)
Quadratic Regression .... Quad
Cubic Regression .......... Cubic
Power Regression ............... Power
Quartic Regression ........ Quart
• The following is a typical graph condition specification for a sinusoidal regression graph.
S-Gph1 DrawOn, Sinusoidal, List 1, List 2, Blue
• The following is a typical graph condition specification for a logistic regression graph.
S-Gph1 DrawOn, Logistic, List 1, List 2, Blue
• The following is a typical graph condition specification for a pie chart.
S-Gph1 DrawOn, Pie, List 1, %, None, ColorLinkOff, ColorAuto ColorLighter, ColorClr
• The following is a typical graph condition specification for a bar graph.
S-Gph1 DrawOn, Bar, List 1, None, None, StickLength, ColorLinkOff, Blue ColorLighter,
Black, Red ColorLighter, Black, Green ColorLighter, Black
To draw a statistical graph, insert the “DrawStat” command following the graph condition
specification line.
ClrGraph _
S-Wind Auto _
{1, 2, 3} → List 1 _
{1, 2, 3} → List 2 _
S-Gph1 DrawOn, Scatter, List 1, List 2, 1, Square, ColorLinkOff, ColorAuto _
DrawStat
8-37
k Using Distribution Graphs in a Program
Special commands are used to draw distribution graphs in a program.
• To draw a normal cumulative distribution graph
DrawDistNorm , [,σ, ]
Population mean*1
Population standard deviation*1
Data upper limit
Data lower limit
*1 This can be omitted. Omitting these items performs the calculation using = 1 and = 0.
p= 1
2πσ
∫
Upper
–
e
(x – μμ)2
2σ
2
dx
ZLow =
Lower
Lower – μ
σ
ZUp =
Upper – μ
σ
• Executing DrawDistNorm performs the above calculation
in accordance with the specified conditions and draws
the graph. At this time the ZLow < x < ZUp region on the
graph is filled in.
• At the same time, the p, ZLow, and ZUp calculation result values are assigned respectively
to variables p, ZLow, and ZUp, and p is assigned to Ans.
• To draw a Student- t cumulative distribution graph
DrawDistT , ,
Degree of freedom
Data upper limit
Data lower limit
p=
∫
Upper
Lower
df + 1
Γ
2
df
Γ
2
–
df + 1
2
2
1+ x
df
dx
×
π × df
tLow = Lower
tUp = Upper
• Executing DrawDistT performs the above calculation in accordance with the specified
conditions and draws the graph. At this time the Lower < x < Upper region on the graph is
filled in.
• At the same time, the p calculation result value and the Lower and Upper input values are
assigned respectively to variables p, tLow, and tUp, and p is assigned to Ans.
8-38
• To draw a 2 cumulative distribution graph
DrawDistChi , ,
Degree of freedom
Data upper limit
Data lower limit
p=
∫
Upper
Lower
df
1
df
Γ
2
×
1
2
2
df
× x
2
–1
× e
–
x
2
dx
• Executing DrawDistChi performs the above calculation in accordance with the specified
conditions and draws the graph. At this time the Lower < x < Upper region on the graph is
filled in.
• At the same time, calculation result is assigned to variables p and Ans.
• To draw an F cumulative distribution graph
DrawDistF , , ,
Degrees of freedom of denominator
Degrees of freedom of numerator
Data upper limit
Data lower limit
p=
∫
Upper
Lower
ndf + ddf
2
ndf
×
ndf × ddf
ddf
Γ
Γ
2
2
Γ
ndf
2
ndf
× x
2
–1
ndf × x
× 1+
ddf
–
ndf + ddf
2
dx
• Executing DrawDistF performs the above calculation in accordance with the specified
conditions and draws the graph. At this time the Lower < x < Upper region on the graph is
filled in.
• At the same time, calculation result p is assigned to variables p and Ans.
8-39
k Performing Statistical Calculations in a Program
• Single-variable statistical calculation
1-Variable List1, List 2
Frequency data (Frequency)
x-axis data (XList)
• Paired-variable statistical calculation
2-Variable List 1, List 2, List 3
Frequency data (Frequency)
y-axis data (YList)
x-axis data (XList)
• Regression statistical calculation
LinearReg(ax+b) List 1, List 2, List 3
Calculation
type*
Frequency data (Frequency)
y-axis data (YList)
x-axis data (XList)
* Any one of the following can be specified as the calculation type.
LinearReg(ax+b) ......linear regression (ax+b type)
LinearReg(a+bx) ......linear regression (a+bx type)
Med-MedLine ..........Med-Med calculation
QuadReg .................quadratic regression
CubicReg .................cubic regression
QuartReg .................quartic regression
LogReg ...................logarithmic regression
ExpReg(a·eˆbx)........exponential regression (a·ebx type)
ExpReg(a·bˆx)..........exponential regression (a·bx type)
PowerReg ...............power regression
• Sinusoidal regression statistical calculation
SinReg List 1, List 2
y-axis data (YList)
x-axis data (XList)
8-40
• Logistic regression statistical calculation
LogisticReg List 1, List 2
y-axis data (YList)
x-axis data (XList)
k Performing Distribution Calculations in a Program
• The following values are substituted whenever any of the arguments enclosed in brackets
([ ]) are omitted.
σ=1, =0, tail=L (Left)
• For the calculation formula of each probability density function, see “Statistic Formula”
(page 6-68).
• Normal Distribution
NormPD(: Returns the normal probability density (p value) for the specified data.
Syntax: NormPD(x[, σ, )]
• A single value or a list can be specified for x. Calculation result p is assigned to variables p
and Ans (ListAns when x is a list).
NormCD(: Returns the normal cumulative distribution (p value) for the specified data.
Syntax: NormCD(Lower, Upper[, σ, )]
• Single values or lists can be specified for Lower and Upper. Calculation results p, ZLow, and
ZUp are assigned respectively to variables p, ZLow, and ZUp. Calculation result p also is
assigned to Ans (ListAns when Lower and Upper are lists).
InvNormCD(: Returns the inverse normal cumulative distribution (lower and/or upper value(s))
for the specified p value.
Syntax: InvNormCD(["L(or –1) or R(or 1) or C(or 0)", ]p[,σ, ])
tail (Left, Right, Central)
• A single value or a list can be specified for p. Calculation results are output in accordance
with the tail setting as described below.
tail = Left
The Upper value is assigned to variables x1InvN and Ans (ListAns when p is a list).
tail = Right
The Lower value is assigned to variables x1InvN and Ans (ListAns when p is a list).
tail = Central
The Lower and Upper values are assigned respectively to variables x1InvN and x2InvN.
Lower only is assigned to Ans (ListAns when p is a list).
8-41
• Student- t Distribution
tPD(: Returns the Student-t probability density (p value) for the specified data.
Syntax: tPD(x, df [)]
• A single value or a list can be specified for x. Calculation result p is assigned to variables p
and Ans (ListAns when x is a list).
tCD(: Returns the Student-t cumulative distribution (p value) for the specified data.
Syntax: tCD(Lower,Upper,df [)]
• Single values or lists can be specified for Lower and Upper. Calculation results p, tLow,
and tUp are assigned respectively to variables p, tLow, and tUp. Calculation result p also is
assigned to Ans (ListAns when Lower and Upper are lists).
InvTCD(: Returns the inverse Student-t cumulative distribution (Lower value) for the specified
p value.
Syntax: InvTCD(p,df [)]
• A single value or a list can be specified for p. The Lower value is assigned to the xInv and
Ans variables (ListAns when p is a list).
• 2 Distribution
ChiPD(: Returns the 2 probability density (p value) for the specified data.
Syntax: ChiPD(x,df [)]
• A single value or a list can be specified for x. Calculation result p is assigned to variables p
and Ans (ListAns when x is a list).
ChiCD(: Returns the 2 cumulative distribution (p value) for the specified data.
Syntax: ChiCD(Lower,Upper,df [)]
• Single values or lists can be specified for Lower and Upper. Calculation result p is assigned
to variables p and Ans (ListAns when Lower and Upper are lists).
InvChiCD(: Returns the inverse 2 cumulative distribution (Lower value) for the specified p
value.
Syntax: InvChiCD(p,df [)]
• A single value or a list can be specified for p. The Lower value is assigned to the xInv and
Ans variables (ListAns when p is a list).
8-42
• F Distribution
FPD(: Returns the F probability density (p value) for the specified data.
Syntax: FPD(x,ndf,ddf [)]
• A single value or a list can be specified for x. Calculation result p is assigned to variables p
and Ans (ListAns when x is a list).
FCD(: Returns the F cumulative distribution (p value) for the specified data.
Syntax: FCD(Lower,Upper,ndf,ddf [)]
• Single values or lists can be specified for Lower and Upper. Calculation result p is assigned
to variables p and Ans (ListAns when Lower and Upper are lists).
InvFCD(: Returns the inverse F cumulative distribution (Lower value) for the specified data.
Syntax: InvFCD(p,ndf,ddf [)]
• A single value or a list can be specified for p. The Lower value is assigned to the xInv and
Ans variables (ListAns when p is a list).
• Binomial Distribution
BinomialPD(: Returns the binomial probability (p value) for the specified data.
Syntax: BinomialPD([x,]n,P[)]
• A single value or a list can be specified for x. Calculation result p is assigned to variables p
and Ans (ListAns when x is a list).
BinomialCD(: Returns the binomial cumulative distribution (p value) for the specified data.
Syntax: BinomialCD([[Lower,] Upper,]n,P[)]
• Single values or lists can be specified for Lower and Upper. Calculation result p is assigned
to variables p and Ans (or ListAns).
InvBinomialCD(: Returns the inverse binomial cumulative distribution for the specified data.
Syntax: InvBinomialCD(p,n,P[)]
• A single value or a list can be specified for p. The calculation result X value is assigned to
the xInv and Ans variables (ListAns when p is a list).
8-43
• Poisson Distribution
PoissonPD(: Returns the Poisson probability (p value) for the specified data.
Syntax: PoissonPD(x, [)]
• A single value or a list can be specified for x. Calculation result p is assigned to variables p
and Ans (ListAns when x is a list).
PoissonCD(: Returns the Poisson cumulative distribution (p value) for the specified data.
Syntax: PoissonCD([Lower,] Upper, [)]
• Single values or lists can be specified for Lower and Upper. Calculation result p is assigned
to variables p and Ans (or ListAns).
InvPoissonCD(: Returns the inverse Poisson cumulative distribution for the specified data.
Syntax: InvPoissonCD(p, [)]
• A single value or a list can be specified for p. The calculation result X value is assigned to
the xInv and Ans variables (ListAns when p is a list).
• Geometric Distribution
GeoPD(: Returns the geometric probability (p value) for the specified data.
Syntax: GeoPD(x, P[)]
• A single value or a list can be specified for x. Calculation result p is assigned to variables p
and Ans (ListAns when x is a list).
GeoCD(: Returns the geometric cumulative distribution (p value) for the specified data.
Syntax: GeoCD([Lower,] Upper,P[)]
• Single values or lists can be specified for Lower and Upper. Calculation result p is assigned
to variables p and Ans (or ListAns).
InvGeoCD(: Returns the inverse geometric cumulative distribution for the specified data.
Syntax: InvGeoCD(p,P[)]
• A single value or a list can be specified for p. The calculation result is assigned to the xInv
and Ans variables (ListAns when p is a list).
8-44
• Hypergeometric Distribution
HypergeoPD(: Returns the hypergeometric probability (p value) for the specified data.
Syntax: HypergeoPD(x, n, M, N[)]
• A single value or a list can be specified for x. Calculation result p is assigned to variables p
and Ans (ListAns when x is a list).
HypergeoCD(: Returns the hypergeometric cumulative distribution (p value) for the specified
data.
Syntax: HypergeoCD([Lower,] Upper, n, M, N[)]
• Single values or lists can be specified for Lower and Upper. Calculation result p is assigned
to variables p and Ans (or ListAns).
InvHypergeoCD(: Returns the inverse hypergeometric cumulative distribution for the specified
data.
Syntax: InvHypergeoCD(p, n, M, N[)]
• A single value or a list can be specified for p. The calculation result X value is assigned to
the xInv and Ans variables (ListAns when p is a list).
k Using the TEST Command to Execute a Command in a Program
• The following are the specifications ranges for the “ condition” argument of the command.
“<” or –1 when < 0
“≠” or 0 when ≠ 0
“>” or 1 when > 0
The above also apply for the “ρ condition” and “&ρ condition” specification methods.
• For explanations of arguments, see “Tests” (page 6-32) and “Input and Output Terms of
Tests, Confidence Interval, and Distribution” (page 6-65).
• For the calculation formula of each command, see “Statistic Formula” (page 6-68).
• Z Test
OneSampleZTest: Executes 1-sample Z-test calculation.
Syntax:
OneSampleZTest " condition", 0, σ, o, n
Output Values:
z, p, o, n are assigned respectively to variables z, p, o, n and to ListAns
elements 1 through 4.
Syntax:
OneSampleZTest " condition", 0, σ, List[, Freq]
Output Values:
z, p, o, sx, n are assigned respectively to variables z, p, o, sx, n and to
ListAns elements 1 through 5.
8-45
TwoSampleZTest: Executes 2-sample Z-test calculation.
Syntax:
TwoSampleZTest "1 condition", σ1, σ2, o1, n1, o2, n2
Output Values:
z, p, o1, o2, n1, n2 are assigned respectively to variables z, p, o1, o2, n1, n2
and to ListAns elements 1 through 6.
Syntax:
TwoSampleZTest "1 condition", σ1, σ2, List1, List2[, Freq1 [, Freq2]]
Output Values:
z, p, o1, o2, sx1, sx2, n1, n2 are assigned respectively to variables z, p, o1, o2,
sx1, sx2, n1, n2 and to ListAns elements 1 through 8.
OnePropZTest:
Executes 1-proportion Z-test calculation.
Syntax:
OnePropZTest "p condition", p0, x, n
Output Values:
z, p, p̂, n are assigned respectively to variables z, p, p̂, n and to ListAns
elements 1 through 4.
TwoPropZTest:
Executes 2-proportion Z-test calculation.
Syntax:
TwoPropZTest "p1 condition", x1, n1, x2, n2
Output Values:
z, p, p̂ 1, p̂ 2, p̂, n1, n2 are assigned respectively to variables z, p, p̂ 1, p̂ 2, p̂,
n1, n2 and to ListAns elements 1 through 7.
• t Test
OneSampleTTest: Executes 1-sample t-test calculation.
Syntax:
OneSampleTTest " condition", 0, o, sx, n
OneSampleTTest " condition", 0, List[, Freq]
Output Values:
t, p, o, sx, n are assigned respectively to the variables with the same
names and to ListAns elements 1 through 5.
TwoSampleTTest: Executes 2-sample t-test calculation.
Syntax:
TwoSampleTTest "1 condition", o1, sx1, n1, o2, sx2, n2[,Pooled condition]
TwoSampleTTest "1 condition", List1, List2, [, Freq1[, Freq2[,
Pooled condition ]]]
Output Values:
When Pooled condition = 0, t, p, df, o1 o2, sx1, sx2, n1, n2 are assigned
respectively to the variables with the same names and to ListAns
elements 1 through 9.
When Pooled condition = 1, t, p, df, o1, o2, sx1, sx2, sp, n1, n2 are assigned
respectively to the variables with the same names and to ListAns
elements 1 through 10.
Note:
Specify 0 when you want to turn off the Pooled condition and 1 when you
want to turn it on. Omitting the input is treated as Pooled condition off.
LinRegTTest:
Executes linear regression t-test calculation.
Syntax:
LinRegTTest "&ρ condition", XList, YList[, Freq]
Output Values:
t, p, df, a, b, s, r, r2 are assigned respectively to the variables with the
same names and to ListAns elements 1 through 8.
8-46
• 2 Test
ChiGOFTest:
Executes a chi-square goodness of fit test.
Syntax:
ChiGOFTest List 1, List 2, df, List 3
(List 1 is the Observed list, List 2 is the Expected list, and List 3 is the
CNTRB list.)
Output Values:
2, p, df are assigned respectively to the variables with the same names
and to ListAns elements 1 through 3. The CNTRB list is stored in List 3.
ChiTest:
Executes a chi-square test.
Syntax:
ChiTest MatA, MatB
(MatA is the Observed matrix and MatB is the Expected matrix.)
Output Values:
2, p, df are assigned respectively to the variables with the same names
and to ListAns elements 1 through 3. The Expected matrix is assigned to
MatB.
• F Test
TwoSampleFTest: Executes 2-sample F-test calculation.
Syntax:
TwoSampleFTest "σ1 condition", sx1, n1, sx2, n2
Output Values:
F, p, sx1, sx2, n1, n2 are assigned respectively to the variables with the
same names and to ListAns elements 1 through 6.
Syntax:
TwoSampleFTest "σ1 condition", List1, List2, [, Freq1 [, Freq2]]
Output Values:
F, p, o1, o2, sx1, sx2, n1, n2 are assigned respectively to the variables with
the same names and to ListAns elements 1 through 8.
• ANOVA
OneWayANOVA:
Executes one-factor ANOVA analysis of variance.
Syntax:
OneWayANOVA List1, List2
(List1 is Factor list (A) and List2 is the Dependent list.)
Output Values:
Adf, Ass, Ams, AF, Ap, ERRdf, ERRss, ERRms are assigned respectively
to variables Adf, SSa, MSa, Fa, pa, Edf, SSe, MSe.
Also, output values are assigned to MatAns as shown below.
MatAns =
Adf
Ass
Ams
ERRdf ERRss ERRms
AF Ap
0
0
TwoWayANOVA:
Executes two-factor ANOVA analysis of variance.
Syntax:
TwoWayANOVA List1, List2, List3
(List1 is Factor list (A), List2 is Factor list (B), and List3 is the Dependent
list.)
8-47
Output Values:
Adf, Ass, Ams, AF, Ap, Bdf, Bss, Bms, BF, Bp, ABdf, ABss, ABms, ABF,
ABp, ERRdf, ERRss, ERRms are assigned respectively to variables Adf,
SSa, MSa, Fa, pa, Bdf, SSb, MSb, Fb, pb, ABdf, SSab, MSab, Fab, pab,
Edf, SSe, MSe.
Also, output values are assigned to MatAns as shown below.
MatAns =
Adf
Ass
Ams
AF
Ap
Bdf
Bss
Bms
BF
Bp
ABdf
ABss
ABms ABF ABp
ERRdf ERRss ERRms
0
0
k Performing Financial Calculations in a Program
• Setup Commands
• Date Mode Setting for Financial Calculations
DateMode365 ....... 365 days
DateMode360 ....... 360 days
• Payment Period Setting
PmtBgn................. Start of period
PmtEnd................. End of period
• Bond Calculation Payment Periods
PeriodsAnnual ...... Annual
PeriodsSemi ......... Semiannual
• Financial Calculation Commands
For the meaning of each argument, see “Chapter 7 Financial Calculation”.
• Simple Interest
Smpl_SI:
Returns the interest based on simple interest calculation.
Syntax:
Smpl_SI(n, I%, PV)
Smpl_SFV:
Returns the total of principal and interest based on simple interest calculation.
Syntax:
Smpl_SFV(n, I%, PV)
8-48
• Compound Interest
Note:
• P/Y and C/Y can be omitted for all compound interest calculations. When they are omitted,
calculations are performed using P/Y=12 and C/Y=12.
• If you perform a calculation that uses a compound interest function (Cmpd_n(, Cmpd_I%(,
Cmpd_PV(, Cmpd_PMT(, Cmpd_FV(), the argument(s) you input and the calculation results
will be saved to the applicable variables (n, I%, PV, etc.). If you perform a calculation that
uses any other type of financial calculation function, the argument and calculation results are
not assigned to variables.
Cmpd_n:
Returns the number of compound periods.
Syntax:
Cmpd_n(I%, PV, PMT, FV, P/Y, C/Y)
Cmpd_I%:
Returns the annual interest.
Syntax:
Cmpd_I%(n, PV, PMT, FV, P/Y, C/Y)
Cmpd_PV:
Returns the present value (loan amount for installment payments, principal for
savings).
Syntax:
Cmpd_PV(n, I%, PMT, FV, P/Y, C/Y)
Cmpd_PMT: Returns equal input/output values (payment amounts for installment payments,
deposit amounts for savings) for a fixed period.
Syntax:
Cmpd_PMT(n, I%, PV, FV, P/Y, C/Y)
Cmpd_FV:
Returns the final input/output amount or total principal and interest.
Syntax:
Cmpd_FV(n, I%, PV, PMT, P/Y, C/Y)
• Cash Flow (Investment Appraisal)
Cash_NPV:
Returns the net present value.
Syntax:
Cash_NPV(I%, Csh)
Cash_IRR:
Returns the internal rate of return.
Syntax:
Cash_IRR(Csh)
Cash_PBP: Returns the payback period.
Syntax:
Cash_PBP(I%, Csh)
Cash_NFV:
Returns the net future value.
Syntax:
Cash_NFV(I%, Csh)
• Amortization
Amt_BAL:
Returns the remaining principal balance following payment PM2.
Syntax:
Amt_BAL(PM1, PM2, I%, PV, PMT, P/Y, C/Y)
Amt_INT:
Returns the interest paid for payment PM1.
Syntax:
Amt_INT(PM1, PM2, I%, PV, PMT, P/Y, C/Y)
Amt_PRN:
Returns the principal and interest paid for payment PM1.
Syntax:
Amt_PRN(PM1, PM2, I%, PV, PMT, P/Y, C/Y)
8-49
Amt_ΣINT:
Returns the total principal and interest paid from payment PM1 to PM2.
Syntax:
Amt_ΣINT(PM1, PM2, I%, PV, PMT, P/Y, C/Y)
Amt_ΣPRN: Returns the total principal paid from payment PM1 to PM2.
Syntax:
Amt_ΣPRN(PM1, PM2, I%, PV, PMT, P/Y, C/Y)
• Interest Rate Conversion
Cnvt_EFF:
Returns the interest rate converted from the nominal interest rate to the effective
interest rate.
Syntax:
Cnvt_EFF(n, I%)
Cnvt_APR:
Returns the interest rate converted from the effective interest rate to the nominal
interest rate.
Syntax:
Cnvt_APR(n, I%)
• Cost, Selling Price, Margin Calculations
Cost:
Returns the cost based on a specified selling price and margin.
Syntax:
Cost(Sell, Margin)
Sell:
Returns the selling price based on a specified cost and margin.
Syntax:
Sell(Cost, Margin)
Margin:
Returns the margin based on a specified cost and selling price.
Syntax:
Margin(Cost, Sell)
• Day/Date Calculations
Days_Prd:
Returns the number of days from a specified d1 to specified d2.
Syntax:
Days_Prd(MM1, DD1, YYYY1, MM2, DD2, YYYY2)
• Bond Calculations
Bond_PRC: Returns in list form bond prices based on specified conditions.
Syntax:
Bond_PRC(MM1, DD1, YYYY1, MM2, DD2, YYYY2, RDV, CPN, YLD) = {PRC,
INT, CST}
Bond_YLD: Returns the yield based on specified conditions.
Syntax:
Bond_YLD(MM1, DD1, YYYY1, MM2, DD2, YYYY2, RDV, CPN, PRC)
8-50
7. Program Mode Command List
RUN Program
4(MENU) key
Level 1
STAT
Level 2
DRAW
GRAPH
List
TYPE
DIST
CALC
MAT
LIST
GRAPH
Swap
Row
Row+
Row+
SortA
SortD
SEL
TYPE
Level 3
Command
On
DrawOn
Off
DrawOff
S-Gph1
S-Gph1_
S-Gph2
S-Gph2_
S-Gph3
S-Gph3_
Scatter
Scatter
xyLine
xyLine
Hist
Hist
Box
MedBox
Bar
Bar
N-Dist
N-Dist
Broken
Broken
X
Linear
Med
Med-Med
X2
Quad
X3
Cubic
X4
Quart
Log
Log
*1 (see page 8-57)
Power
Power
Sin
Sinusoidal
NPPlot
NPPlot
Logistic
Logistic
Pie
Pie
List_
*2 (see page 8-57)
DrawN
DrawDistNorm_
DrawT
DrawDistT_
DrawC
DrawDistChi_
DrawF
DrawDistF_
1-VAR
1-Variable_
2-VAR
2-Variable_
*3 (see page 8-57)
Med
Med-MedLine_
X2
QuadReg_
X3
CubicReg_
X4
QuartReg_
Log
LogReg_
*4 (see page 8-57)
Power
PowerReg_
Sin
SinReg_
Logistic
LogisticReg_
Swap_
`Row_
`Row+_
Row+_
SortA(
SortD(
On
G_SelOn_
Off
G_SelOff_
Y=
Y=Type
r=
r=Type
Param
ParamType
X=
X=Type
STYLE
Y>
Y<
Y≥
Y≤
X>
X<
X≥
X≤
—
—
·····
······
—
GPH-MEM
DYNA
TABLE
GRHCLR
On
Off
Var
TYPE
GRHCLR
On
Off
TYPE
STYLE
Store
Recall
Y=
r=
Param
Y=
r=
Param
—
—
·····
······
—
RECURSION
GRHCLR
SEL+S
On
Off
—
—
·····
······
—
TYPE
n.a n..
8-51
an
a n+1
a n+2
n
an
a n+1
a n+2
bn
b n+1
b n+2
cn
c n+1
c n+2
Σa n
Σa n+1
Y>Type
YType
X
<
≥
≤
Locate_
Getkey
Send(
Receive(
Send38k_
Receive38k_
OpenComport38k
CloseComport38k
:
StrJoin(
StrLen(
StrCmp(
StrSrc(
StrLeft(
StrRight(
StrMid(
Exp'Str(
Exp(
StrUpr(
StrLwr(
StrInv(
StrShift(
StrRotate(
>
<
≥
≤
Locate
Getkey
Send
Receive
S38k
R38k
Open
Close
Join
Len
Cmp
Src
Left
Right
Mid
E→S
Exp
Upr
Lwr
Inverse
Shift
Rotate
!m(SET UP) key
Level 1
ANGLE
COORD
GRID
AXES
LABEL
DISPLAY
SKT/LIN
Level 2
Deg
Rad
Gra
On
Off
On
Off
Line
On
Off
Scale
On
Off
Fix
Sci
Norm
ENG
—
—
·····
······
—
DRAW
DERIV
8-55
Connect
Plot
On
Off
Level 3
On
Off
Eng
Command
Deg
Rad
Gra
CoordOn
CoordOff
GridOn
GridOff
GridLine
AxesOn
AxesOff
AxesScale
LabelOn
LabelOff
Fix_
Sci_
Norm_
EngOn
EngOff
Eng
S-L-Normal
S-L-Thick
S-L-Broken
S-L-Dot
S-L-Thin
G-Connect
G-Plot
DerivOn
DerivOff
BACK
FUNC
SIMUL
SGV-WIN
LIST
LOCUS
TBL-VAR
ΣDISP
RESID
COMPLEX
FRAC
Y=SPEED
DATE
PMT
PERIODS
INEQ
SIMP
Q1Q3
BG-None
BG-Pict_
*8 (see page 8-58)
FuncOn
FuncOff
SimulOn
SimulOff
S-WindAuto
S-WindMan
File_
LocusOn
LocusOff
VarRange
VarList_
Σ dispOn
ΣdispOff
Resid-None
Resid-List_
Real
a+bi
r∠θ
d/c
ab/c
Y=DrawSpeedNorm
Y=DrawSpeedHigh
DateMode365
DateMode360
PmtBgn
PmtEnd
PeriodsAnnual
PeriodsSemi
IneqTypeIntsect
IneqTypeUnion
SimplfyAuto
SimplfyMan
Q1Q3TypeStd
Q1Q3TypeOnData
Plot/Line-Color_
None
Pict
OPEN
On
Off
On
Off
Auto
Manual
File
On
Off
Range
List
On
Off
None
List
Real
a+bi
r∠θ
d/c
ab/c
Norm
High
365
360
Begin
End
Annual
Semi
Intsect
Union
Auto
Manual
Std
OnData
P/L-CLR
X>
X<
X≥
X≤
Plot
PlotOn
PlotOff
PlotChg
Line
F-Line
PLOT
LINE
Circle
Vertical
Horz
Text
PIXEL
Test
STYLE
On
Off
Pxlchg
—
—
·····
······
—
Graph_X>
Graph_X<
Graph_X≥≥
Graph_X≤
Plot_
PlotOn_
PlotOff_
PlotChg_
Line
F-Line_
Circle_
Vertical_
Horizontal_
Text_
PxlOn_
PxlOff_
PxlChg_
PxlTest(
SketchNormal_
SketchThick_
SketchBroken_
SketchDot_
SketchThin_
!f(FORMAT) key
Level 1
1:Color
Command
2:Paint
Command
Level 2
Level 3
Command
Black_
Blue_
Red_
Magenta_
Green_
Cyan_
Yellow_
ColorAuto_
ColorClr_
ColorNormal_
ColorLighter_
1:Black
2:Blue
3:Red
4:Magenta
5:Green
6:Cyan
7:Yellow
9:Auto
A:Clear
1:Normal
2:Lighter
! key
Level 1
ZOOM
V-WIN
SKETCH
Level 2
Factor
Auto
V-Win
Store
Recall
Cls
Tangent
Norm
Inverse
GRAPH
Level 3
Y=
r=
Param
x=c
G·∫ dX
Y>
Y<
Y≥
Y≤
Command
Factor_
ZoomAuto
ViewWindow_
StoV-Win_
RclV-Win_
Cls
Tangent_
Normal_
Inverse_
Graph_Y=
Graph_r=
Graph(X,Y)=(
Graph_X=
Graph_ ∫
Graph_Y>
Graph_Y<
Graph_Y≥
Graph_Y≤≤
BASE Program
4(MENU) key
Level 1
d~o
LOGIC
DISPLAY
8-56
Level 2
d
h
b
o
Neg
Not
and
or
xor
xnor
'Dec
'Hex
'Bin
'Oct
Level 3
Command
d
h
b
o
Neg_
Not_
and
or
xor
xnor
'Dec
'Hex
'Bin
'Oct
Level 3
!J(PRGM) key
Level 1
Prog
JUMP
Level 2
Level 3
Lbl
Goto
⇒
Isz
Dsz
Menu
?
^
RELATNL
Command
Prog_
Lbl_
Goto_
⇒
Isz_
Dsz_
Menu_
?
^
=
≠
>
<
≥
≤
:
=
≠
>
<
≥
≤
:
!m(SET UP) key
Level 1
Level 2
Level 3
*1
Exp
*2
MARK
STICK
%DATA
None
COLOR LINK
*3
X
*4
EXP
*5
NORM
Command
Dec
Hex
Bin
Oct
Dec
Hex
Bin
Oct
t
CHI
F
!f(FORMAT) key
Level 1
1:Black
2:Blue
3:Red
4:Magenta
5:Green
6:Cyan
7:Yellow
Level 2
Level 3
Command
Black_
Blue_
Red_
Magenta_
Green_
Cyan_
Yellow_
BINOMIAL
POISSON
GEO
HYPRGEO
*6
Z
t
CHI
F
ANOVA
8-57
Level 4
aebx
abx
Length
Horz
%
Data
BothXY
X&Freq
OnlyX
OnlyY
On
Off
ax+b
a+bx
aebx
abx
Npd
Ncd
InvN
tpd
tcd
Invt
Cpd
Ccd
InvC
Fpd
Fcd
InvF
Bpd
Bcd
InvB
Ppd
Pcd
InvP
Gpd
Gcd
InvG
Hpd
Hcd
InvH
1-Sample
2-Sample
1-Prop
2-Prop
1-Sample
2-Sample
REG
GOF
2WAY
1WAYANO
2WAYANO
Command
Exp(ae^bx)
Exp(ab^x)
Square
Cross
Dot
StickLength
StickHoriz
%
Data
None
ColorLinkX&Y
ColorLinkX&Freq
ColorLinkOnlyX
ColorLinkOnlyY
ColorLinkOn
ColorLinkOff
LinearReg(ax+b)
LinearReg(a+bx)
ExpReg(a•e^bx)
ExpReg(a•b^x)
NormPD(
NormCD(
InvNormCD(
tPD(
tCD(
InvTCD(
ChiPD(
ChiCD(
InvChiCD(
FPD(
FCD(
InvFCD(
BinomialPD(
BinomialCD(
InvBinomialCD(
PoissonPD(
PoissonCD(
InvPoissonCD(
GeoPD(
GeoCD(
InvGeoCD(
HypergeoPD(
HypergeoCD(
InvHyperGeoCD(
OneSampleZTest_
TwoSampleZTest_
OnePropZTest_
TwoPropZTest_
OneSampleTTest_
TwoSampleTTest_
LinRegTTest_
ChiGOFTest_
ChiTest_
TwoSampleFTest_
OneWayANOVA_
TwoWayANOVA_
*7 Metric conversion commands (commands
included in K6(g)1(CONVERT)) are
supported only when the Metric Conversion
add-in application is installed.
8
* Selecting “OPEN” displays a dialog box for
specifying an image file. The storage memory
location (folder name and file name) of the
specified image will be input. For example:
"Pict\Pict01.g3p".
Level 3
*9
TEST
INTR
DIST
Level 4
Command
p
z
t
Chi
F
p̂
p̂ 1
p̂ 2
p
z
t
2
df
se
r
r2
pa
Fa
Adf
SSa
MSa
pb
Fb
Bdf
SSb
MSb
pab
Fab
ABdf
SSab
MSab
Edf
SSe
MSe
Lower
Upper
p̂
p̂ 1
p̂ 2
df
se
r
r2
pa
Fa
Adf
SSa
MSa
pb
Fb
Bdf
SSb
MSb
pab
Fab
ABdf
SSab
MSab
Edf
SSe
MSe
Lower
Upper
p̂
p̂ 1
p̂ 2
df
p
xInv
x1Inv
x2Inv
zLow
zUp
tLow
tUp
df
p
xInv
x1Inv
x2Inv
zLow
zUp
tLow
tUp
F
p̂
p̂ 1
p̂ 2
8-58
8. CASIO Scientific Function Calculator Special
Commands ⇔ Text Conversion Table
The table below shows the special text strings that correspond to commands when converting
between programs and text files. For details about the operations for converting between
programs and text files, see “Converting Programs and Text Files” (page 8-7).
Important!
• Converting a program that contains the types of commands described below to a text file will
cause the commands to be converted to text strings with underbar (_) characters appended
at the beginning and end, as shown in the table below.
- A command enclosed in quotation marks (" ")
- A command in a comment line, which is a line that begins with a single quotation mark (')
Note that non-command alpha-numeric characters in a program that are enclosed in quotation
marks (" ") or are in a comment line are output to the text file as-is.
Example:
In the program:
""
"Theta"*1
"Tmax"*2
"TThetamax"*1
"or"*3
"or"*1
In the text file (after conversion):
˝ _Theta_ ˝
˝ Theta ˝
˝ _TThetamax_ ˝
˝ TThetamax ˝
˝ _or_ ˝
˝ or ˝
*1 Non-command alpha-numeric characters
*2 V-Window Tmax command
*3 Logical operator or
Converting from a text file to a program converts the special character strings back to their
corresponding commands, shown above.
•
When converting a program that contains special characters input using 6(CHAR) when
editing the program on the calculator, the special characters will be converted to character
string codes as shown below.
Example:
In the program:
λ
1
`
⇔
In the text file (after conversion):
#E54A
#E5A5
#E5F0
#E641
#E69C
#E6D6
These codes are not included in the tables on the pages 8-60 through 8-65.
8-59
* “ ” in the following tables indicates a space.
Command
Text
Command
Text
Command
Text
f
femto
7
7
m
m
p
pico
8
8
n
n
n
nano
9
9
o
o
μ
micro
:
:
p
p
m
milli
;
;
q
q
k
kilo
<
<
r
r
M
Mega
=
=
s
s
G
Giga
>
>
t
t
T
Tera
?
?
u
u
P
Peta
@
@
v
v
E
Exa
A
A
w
w
^
Disps
B
B
x
x
↵
(CR)
C
C
y
y
→
->
D
D
z
z
E
Exp
E
E
{
{
≤
<=
F
F
|
|
G
<>
G
G
}
}
≥
>=
H
H
~
˜
⇒
=>
I
I
Pol(
Pol(
f1
f1
J
J
sin
sin
f2
f2
K
K
cos
cos
f3
f3
L
L
tan
f4
f4
M
M
f5
f5
N
N
f6
f6
O
O
'
a
&HA
P
P
-
(-)
b
&HB
Q
Q
P
nPr
c
&HC
R
R
+
+
&HD
S
S
xnor
xnor
e
&HE
T
T
2
^<2>
f
&HF
U
U
V
V
∫(
Char!
W
W
Mod
Mod
"
˝
X
X
Σx2
Sigmax^2
#
#
Y
Y
$
$
Z
Z
sin1
sin^-1
%
%
[
[
cos1
cos^-1
&
\
¥
tan1
'
’
]
]
(
(
^
^^
)
)
_
_
€
€€
'
`
+
++
a
a
c
nCr
,
,
b
b
−
-
Char-
c
c
xor
xor
.
.
d
d
1
^<-1>
/
//
e
e
°
deg
0
0
f
f
Med
Med
1
1
g
g
Σx
Sigmax
2
2
h
h
Rec(
3
3
i
i
sinh
sinh
4
4
j
j
cosh
cosh
5
5
k
k
tanh
6
6
l
l
d
!
&
8-60
tan
h
&h
ln
ln
Sqrt
dms
Integral(
x
tan^-1
d
&d
log
log
3
X
'
Cbrt
Abs
Abs
Rec(
tanh
o
&o
Command
Text
e^
Command
e^
Text
∑xy
Int
Int
Not
Not
Command
Intg
Intg
Plot
Text
Conjg
Conjg
Sigmaxy
ReP
ReP
Plot
ImP
ImP
^
^
d/dx(
d/dx(
×
€
Lbl
Lbl
d2/dx2(
d^2/dx^2(
or
or
Fix
Fix
Solve(
Solve(
!
!
Sci
Sci
Σ(
Sigma(
r
rad
Dsz
Dsz
FMin(
FMin(
minY
minY
Isz
Isz
FMax(
FMax(
minX
minX
Factor
Factor
Seq(
Seq(
n
Statn
ViewWindow
ViewWindow
Min(
Min(
Line
Line
sinh1
sinh^−1
Goto
Goto
Mean(
Mean(
cosh1
cosh^−1
Prog
Prog
Median(
Median(
SolveN(
SolveN(
tanh^−1
tanh1
Graph Y=
Graph Y=
b
&b
Graph
Graph Integral
Red
Red
10
(10)
Graph Y>
Graph Y>
Blue
Blue
Green
Green
Frac
Frac
Graph Y<
Graph Y<
Neg
Neg
Graph Y≥
Graph Y>=
MOD(
MOD(
Graph Y≤
Graph Y<=
MOD_Exp(
MOD_Exp(
GCD(
x
'
Xrt
÷
/
Graph r=
Graph r=
GCD(
and
and
Graph(X,Y)=(
Graph(X,Y)=(
LCM(
LCM(
{
frac
,
Para,
StdDev(
StdDev(
g
gra
P(
ProbP(
Variance(
Variance(
maxY
maxY
Q(
ProbQ(
Mat
Mat
maxX
maxX
R(
ProbR(
Trn
Trn
∑y2
Sigmay2
t(
Probt(
€Row
€Row
Ans
Ans
Xmin
Xmin
€Row+
€Row+
Ran#
Xmax
Xmax
Row+
Row+
x̄
x-bar
Xscl
Xscl
Swap
Swap
ȳ
y-bar
Ymin
Ymin
Dim
Dim
σx
sigmax
Ymax
Ymax
sx
Sx
Yscl
Yscl
σx
sigmay
Tmin
TThetamin
Augment(
sy
Sy
Tmax
TThetamax
List→Mat(
List->Mat(
a
Regression_a
Tptch
TThetaptch
Mat→List(
Mat->List(
b
Regression_b
Xfct
Xfct
r
^
x
Regression_r
Yfct
Yfct
Prod
Prod
Percent
^
y
y-hat
r
Theta
RightXmin
RightXmin
List
List
∑y
Sigmay
RightXmax
RightXmax
ΔList
Dlist
RightXscl
Ran#
x-hat
Fill(
D Start
D End
D End
Cuml
D pitch
D pitch
D Start
Augment(
Sum
Sum
Percent
Fill(
Identity
Identity
Cuml
i
Imaginary
π
pi
RightXscl
Cls
Cls
RightYmin
RightYmin
Rnd
Rnd
RightYmax
RightYmax
Ref
Ref
Dec
&D
RightYscl
RightYscl
Rref
Rref
Hex
&H
RightTmin
RightTThetamin
'
Conv
Bin
&B
RightTmax
RightTThetamax
Sim Coef
Sim Coef
Oct
&O
RightTThetaptch
Ply Coef
Ply Coef
RightTptch
@D8
c
Regression_c
Sim Result
Sim Result
Ply Result
Ply Result
Norm
Norm
∞
Infinity
∠
Angle
d
Regression_d
Deg
Deg
e
Regression_e
n
Financial n
Rad
Rad
Max(
Max(
I%
Financial I%
Gra
Gra
Det
Det
PV
Financial PV
Eng
Eng
Arg
Arg
PMT
Financial PMT
8-61
Command
Text
Command
Text
Command
Text
Σcn+1
Sigmacn+1
List1
Σan+
2
Sigmaan+2
MSb
MSb
List2
Σbn+2
Sigmabn+2
MSab
MSab
List3
List3
Σcn+2
Sigmacn+2
[ns]
[ns]
List4
List4
Int÷
Int/
[ƫs]
[micros]
List5
List5
Rmdr
Rmdr
[ms]
[ms]
List6
List6
Fa
Fa
[s]
[s]
Q1
Q1
n1
n1
[min]
[min]
Q3
Q3
n2
n2
[h]
[h]
x1
x1
x̄1
x-bar1
[day]
[day]
y1
y1
x̄2
x-bar2
[week]
[week]
x2
x2
sx1
sx1
[yr]
[yr]
y2
y2
sx2
sx2
[s-yr]
[s-yr]
x3
x3
sp
Sxp
[t-yr]
[t-yr]
y3
y3
p̂
p-hat
[ C]
[Centigrade]
logab(
logab(
p̂1
p-hat1
[K]
[Kel]
RndFix(
RndFix(
p̂2
p-hat2
[ F]
[Fahrenheit]
FV
Financial FV
List1
List2
SSab
SSab
RanInt#(
RanInt#(
Lower
Lower
[ R]
[Rankine]
RanList#(
RanList#(
Upper
Upper
[u]
[u]
RanBin#(
RanBin#(
P/Y
P/Year
[g]
[g]
RanNorm#(
RanNorm#(
C/Y
C/Year
[kg]
[kg]
Σan
Sigmaan
Fb
Fb
[lb]
[lb]
Σbn
Sigmabn
F
F-Value
[oz]
[oz]
Σcn
Sigmacn
z
z-Value
[slug]
[slug]
Getkey
Getkey
p
p-Value
[ton(short)]
[ton(short)]
F Result
F Result
t
t-Value
[ton(long)]
[ton(long)]
F Start
F Start
se
se
[mton]
[mton]
F End
F End
χ2
x^2
[l-atm]
[l-atm]
F pitch
F pitch
r2
r^2
[ft·lbf]
[ftlbf]
R Result
R Result
Adf
Adf
[calIT]
[calIT]
R Start
R Start
Edf
Edf
[calth]
[calth]
R End
R End
df
df
[Btu]
[Btu]
H Start
H Start
SSa
SSa
[kW·h]
[kWh]
H pitch
H pitch
MSa
MSa
[kgf·m]
[kgfm]
>Simp
SSe
SSe
[Pa]
[Pa]
an
MSe
MSe
[kPa]
[kPa]
an+1
Fab
Fab
[bar]
[bar]
[mmH2O]
[mmH2O]
'Simp
an
a n+ 1
2
an+2
Bdf
Bdf
n
Subscriptn
ABdf
ABdf
[mmHg]
[mmHg]
a0
a0
pa
pa
[inH2O]
[inH2O]
pb
[inHg]
[inHg]
a n+
a
1
a
2
a1
a2
pb
pab
2
pab
[lbf/in ]
[lbf/in^2]
[kgf/cm^2]
CellSum(
CellSum(
[kgf/cm2]
b n+ 1
bn+1
CellProd(
CellProd(
[atm]
[atm]
2
bn+2
CellMin(
CellMin(
[dyne]
[dyne]
b0
b0
CellMax(
[N]
[New]
[kgf]
[kgf]
bn
b n+
bn
CellMax(
b
1
b1
CellMean(
CellMean(
b
2
b2
CellMedian(
CellMedian(
[lbf]
[lbf]
anStart
anStart
CellIf(
CellIf(
[tonf]
[tonf]
bnStart
bnStart
Y
GraphY
[fm]
[fm]
And
And
r
Graphr
[mm]
[mm]
Or
Or
GraphXt
[cm]
[cm]
[m]
[m]
Not
Xor
Σan+
1
Σbn+
1
Xt
Not
Yt
GraphYt
Xor
X
GraphX
[km]
[km]
SSb
[Mil]
[Mil]
[in]
[in]
Sigmaan+1
SSb
Sigmabn+1
8-62
Command
[ft]
Text
Command
[ft]
IfEnd
Text
Command
IfEnd
Text
LinearReg(ax+b)
LinearReg(ax+b)
[yd]
[yd]
For
For
Med-MedLine
Med-MedLine
[fath]
[fath]
To
To
QuadReg
QuadReg
[rd]
[rd]
Step
Step
CubicReg
CubicReg
[mile]
[mile]
QuartReg
QuartReg
[n mile]
[n_mile]
LogReg
LogReg
[acre]
Next
Next
While
While
[acre]
WhileEnd
WhileEnd
ExpReg(a·e^bx)
ExpReg(ae^bx)
[ha]
[ha]
Do
Do
PowerReg
PowerReg
[cm2]
[cm^2]
S-Gph1
S-Gph1
LpWhile
LpWhile
[m2]
[m^2]
Return
Return
S-Gph2
S-Gph2
[km2]
[km^2]
Break
Break
S-Gph3
S-Gph3
[in2]
[in^2]
Stop
Stop
[ft2]
[ft^2]
[yd2]
[yd^2]
Send(
[mile2]
[mile^2]
[m/s]
Square
Square
Cross
Cross
Send(
Dot
Dot
Receive(
Receive(
Scatter
Scatter
[m/s]
OpenComport38k
OpenComport38k
xyLine
xyLine
[km/h]
[km/h]
CloseComport38k
CloseComport38k
Hist
Hist
[ft/s]
[ft/s]
Send38k
Send38k
MedBox
MedBox
[mile/h]
[mile/h]
Recieve38k
Recieve38k
N-Dist
N-Dist
[knot]
[knot]
ClrText
ClrText
Broken
Broken
[mL]
[mL]
ClrGraph
ClrGraph
Linear
Linear
[L]
[Lit]
ClrList
ClrList
Med-Med
Med-Med
[tsp]
[tsp]
LinearReg(a+bx)
Quad
Quad
[cm3]
[cm^3]
S-L-Normal
S-L-Normal
Cubic
Cubic
[m3]
[m^3]
S-L-Thick
S-L-Thick
Quart
Quart
[tbsp]
[tbsp]
S-L-Broken
S-L-Broken
Log
Log
[in3]
[in^3]
S-L-Dot
S-L-Dot
Exp(a·e^bx)
Exp(ae^bx)
[ft3]
[ft^3]
DrawGraph
DrawGraph
Power
[fl_oz(UK)]
[fl_oz(UK)]
[fl_oz(US)]
[fl_oz(US)]
DrawDyna
DrawDyna
S-WindAuto
S-WindAuto
[cup]
[cup]
DrawStat
DrawStat
S-WindMan
S-WindMan
[pt]
[pt]
DrawFTG-Con
DrawFTG-Con
Graph X=
Graph X=
[qt]
[qt]
DrawFTG-Plt
DrawFTG-Plt
Y=Type
Y=Type
[gal(US)]
[gal(US)]
DrawR-Con
DrawR-Con
r=Type
r=Type
[gal(UK)]
[gal(UK)]
DrawR-Plt
DrawR-Plt
ParamType
ParamType
[ƫm]
[microm]
DrawRΣ-Con
DrawRSigma-Con
X=Type
X=Type
[mg]
[mg]
DrawRΣ-Plt
DrawRSigma-Plt
X>Type
X>Type
[A]
[Ang]
DrawWeb
DrawWeb
XType
Y>Type
[l.y.]
[l.y.]
ThickG
ThickG
Y=Type
[ft·lbf/s]
[ftlbf/s]
DispF-Tbl
DispF-Tbl
YsType
Y<=Type
[calth/s]
[calth/s]
DispR-Tbl
DispR-Tbl
XtType
X>=Type
[hp]
[hp]
SimplifyAuto
SimplifyAuto
XsType
X<=Type
[Btu/min]
[Btu/min]
SimplifyMan
SimplifyMan
G-Connect
G-Connect
[W]
[Wat]
NPPlot
NPPlot
G-Plot
G-Plot
[eV]
[eV]
Sinusoidal
Sinusoidal
Resid-None
Resid-None
Locate
PlotPhase
[erg]
[erg]
SinReg
[J]
[Jou]
Logistic
[cal15]
[cal15]
LogisticReg
Locate
LinearReg(a+bx)
PlotPhase
SinReg
Logistic
LogisticReg
ExpReg(a·b^x)
Resid-List
BG-None
BG-Pict
Power
ExpReg(ab^x)
Resid-List
BG-None
BG-Pict
[kcal15]
[kcal15]
Pie
Pie
GridOff
GridOff
[kcalth]
[kcalth]
Bar
Bar
GridLine
GridLine
[kcalIT]
[kcalIT]
DotG
GridOn
GridOn
Exp(a·b^x)
Exp(a^bx)
DotG
If
If
1-Variable
1-Variable
Then
Then
2-Variable
2-Variable
Else
Else
8-63
D Var
D Var
Command
Text
Command
Q1Q3TypeStd
Q1Q3TypeStd
LabelOn
VarRange
VarRange
Q1Q3TypeOnData Q1Q3TypeOnData
Text
Command
Text
LabelOn
DrawDistChi
DrawDistChi
DerivOn
DerivOn
DrawDistF
DrawDistF
LocusOn
LocusOn
None
None
ΣdispOn
SigmadispOn
StickLength
StickLength
SketchNormal
SketchNormal
SketchThick
SketchThick
G SelOn
G SelOn
StickHoriz
StickHoriz
SketchBroken
SketchBroken
T SelOn
T SelOn
IneqTypeUnion
IneqTypeUnion
SketchDot
SketchDot
D SelOn
D SelOn
Graph X>
Graph X>
R SelOn
R SelOn
Graph X<
Graph X<
anType
anType
an+1Type
an+1Type
DrawOn
DrawOn
Graph X≥
Graph X>=
an+2Type
an+2Type
ab/c
ab/c
Graph X≤
Graph X<=
StoPict
StoPict
d/c
d/c
StrJoin(
StrJoin(
RclPict
RclPict
FuncOff
FuncOff
StrLen(
StrLen(
StoGMEM
StoGMEM
SimulOff
SimulOff
StrCmp(
StrCmp(
RclGMEM
RclGMEM
AxesOff
AxesOff
StrSrc(
StrSrc(
StoV-Win
CoordOff
CoordOff
StrLeft(
StrLeft(
RclV-Win
StrRight(
StoV-Win
RclV-Win
%
Data
Menu
RclCapt
LabelOff
LabelOff
StrRight(
Display%
DerivOff
DerivOff
StrMid(
StrMid(
DisplayData
LocusOff
LocusOff
Exp'Str(
Exp>Str(
ΣdispOff
SigmadispOff
Menu
RclCapt
Exp(
Exp(
G SelOff
G SelOff
StrUpr(
StrUpr(
StrLwr(
Tangent
Tangent
T SelOff
T SelOff
StrLwr(
Normal
Normal
D SelOff
D SelOff
StrInv(
StrInv(
Inverse
Inverse
R SelOff
R SelOff
StrShift(
StrShift(
Vertical
Vertical
DrawOff
DrawOff
StrRotate(
StrRotate(
Horizontal
Horizontal
'Dec
>&D
Str
Str
>&H
ColorAuto
ColorAuto
ColorLighter
ColorLighter
Text
Text
'Hex
Circle
Circle
'Bin
>&B
F-Line
F-Line
'Oct
>&O
ColorLinkX&Y
ColorLinkX&Y
ColorLinkOnlyX
PlotOn
PlotOn
'DMS
>DMS
ColorLinkOnlyX
PlotOff
PlotOff
'a+bi
>a+bi
ColorLinkOnlyY
ColorLinkOnlyY
PlotChg
PlotChg
>re^Theta
ColorLinkOn
ColorLinkOn
ColorLinkOff
'r∠Ƨ
PxlOn
PxlOn
Real
Real
ColorLinkOff
PxlOff
PxlOff
a+bi
a+bi
ColorNormal
PxlChg
PxlChg
r∠Ƨ
re^Theta
PxlTest(
PxlTest(
EngOn
EngOn
SortA(
SortA(
EngOff
EngOff
SortD(
SortD(
Sel a0
Sel a0
VarList1
VarList1
Sel a1
Sel a1
VarList2
VarList2
cn
cn
VarList3
VarList3
c n+ 1
cn+1
VarList4
VarList4
c n+ 2
cn+2
VarList5
VarList5
c0
c0
VarList6
VarList6
c1
c1
File1
File1
File2
File2
cnStart
CnStart
File3
File3
IneqTypeIntsect
IneqTypeIntsect
c2
c2
File4
File4
File5
File5
File
File
File6
File6
VarList
VarList
fn
fn
Y=DrawSpeedNorm
Y=DrawSpeedNorm
Y=DrawSpeedHigh
Y=DrawSpeedHigh
ZoomAuto
ZoomAuto
FuncOn
FuncOn
Xdot
Xdot
ClrMat
ClrMat
SimulOn
SimulOn
AxesOn
AxesOn
DrawDistNorm
DrawDistNorm
CoordOn
CoordOn
DrawDistT
DrawDistT
RightXdot
8-64
R-Xdot
ColorNormal
ERROR
ERROR
BLANK
BLANK
ColorClr
ColorClr
ColorLinkX&Freq
ColorLinkX&Freq
NormPD(
NormPD(
NormCD(
NormCD(
InvNormCD(
InvNormCD(
tPD(
tPD(
tCD(
tCD(
InvTCD(
InvTCD(
ChiPD(
ChiPD(
ChiCD(
ChiCD(
InvChiCD(
InvChiCD(
FPD(
FPD(
FCD(
FCD(
InvFCD(
InvFCD(
BinomialPD(
BinomialPD(
BinomialCD(
BinomialCD(
InvBinomialCD(
InvBinomialCD(
PoissonPD(
PoissonPD(
PoissonCD(
PoissonCD(
InvPoissonCD(
InvPoissonCD(
GeoPD(
GeoPD(
Command
GeoCD(
Text
Command
GeoCD(
Text
xInv
xInv
InvGeoCD(
InvGeoCD(
HypergeoPD(
HypergeoPD(
S-L-Thin
HypergeoCD(
HypergeoCD(
ThinG
InvHypergeoCD(
InvHypergeoCD(
SketchThin
SketchThin
S-L-Thin
ThinG
zLow
zLow
SetG-Color
SetG-Color
zUp
zUp
Plot/Line-Color
Plot/Line-Color
tLow
tLow
tUp
tUp
AxesScale
AxesScale
Black
Black
Magenta
Magenta
Cyan
Cyan
Yellow
Yellow
On Version OS 1.01,
following commands are
converted as follows.
Command
Text
Smpl_SI(
Smpl_SI(
Smpl_SFV(
Smpl_SFV(
!
!!
Cmpd_n(
Cmpd_n(
2
^2
Cmpd_I%(
Cmpd_I%(
–1
^-1
Cmpd_PV(
Cmpd_PV(
an
an
Cmpd_PMT(
Cmpd_PMT(
bn
bn
Cmpd_FV(
Cmpd_FV(
[K]
[K]
Cash_NPV(
Cash_NPV(
[N]
[N]
Cash_IRR(
Cash_IRR(
[L]
[L]
Cash_PBP(
Cash_PBP(
[A]
[A]
Cash_NFV(
Cash_NFV(
[AU]
[AU]
Amt_BAL(
Amt_BAL(
[W]
[W]
Amt_INT(
Amt_INT(
[J]
[J]
Amt_PRN(
Amt_PRN(
cn
cn
Amt_ΣINT(
Amt_SigmaINT(
E
^E
Amt_ΣPRN(
Amt_SigmaPRN(
-
--
Cnvt_EFF(
Cnvt_EFF(
r
Gamma
Cnvt_APR(
Cnvt_APR(
Cost(
Cost(
Sell(
Sell(
Margin(
Margin(
PmtEnd
PmtEnd
PmtBgn
PmtBgn
Bond_PRC(
Bond_PRC(
Bond_YLD(
Bond_YLD(
DateMode365
DateMode365
DateMode360
DateMode360
PeriodsAnnual
PeriodsAnnual
PeriodsSemi
PeriodsSemi
Days_Prd(
Days_Prd(
OneSampleZTest
OneSampleZTest
TwoSampleZTest
TwoSampleZTest
OnePropZTest
OnePropZTest
TwoPropZTest
TwoPropZTest
OneSampleTTest
OneSampleTTest
TwoSampleTTest
TwoSampleTTest
LinRegTTest
LinRegTTest
ChiGOFTest
ChiGOFTest
ChiTest
ChiTest
TwoSampleFTest
TwoSampleFTest
OneWayANOVA
OneWayANOVA
TwoWayANOVA
TwoWayANOVA
x1InvN
x1InvN
x2InvN
x2InvN
8-65
9. Program Library
• Be sure to check how many bytes of unused memory are remaining before attempting to
perform any programming.
Program Name
Prime Factorization
Description
This program continually divides a natural number by factors until all its prime factors are
produced.
Purpose
This program accepts input of natural number A, and divides it by B (2, 3, 5, 7....) to find the
prime factors of A.
• If a division operation does not produce a remainder, the result of the operation is assigned
to A.
• The above procedure is repeated until B > A.
Example
462 = 2 × 3 × 7 × 11
egcw
w
ww
w
8-66
Program Name
Ellipse
Description
This program displays a number table of the following values based on input of the foci of an
ellipse, the sum of the distance between the loci and foci, and the pitch (step size) of X.
Y1: Coordinate values of upper half of ellipse
Y2: Coordinate values of lower half of ellipse
Y3: Distances between right focus and loci
Y4: Distances between left focus and loci
Y5: Sum of Y3 and Y4
Next, the program plots the foci and values in Y1 and Y2.
Purpose
This program shows that the sums of the distances between the loci and two foci of an ellipse
are equal.
dw
baw
bw
w
8-67
Chapter 9 Spreadsheet
The Spreadsheet application provides you with powerful, take-along-anywhere spreadsheet
capabilities.
All of the operations in this section are performed in the Spreadsheet mode.
Note
A Memory ERROR may occur during a Spreadsheet mode operation if main memory capacity
is low. If this happens, delete some input data or Memory mode data in order to increase
available free space.
1. Spreadsheet Basics and the Function Menu
Selecting Spreadsheet on the Main Menu will display a spreadsheet screen. Entering the
Spreadsheet mode automatically creates a new spreadsheet file named “SHEET”.
The spreadsheet screen shows a number of cells (squares) and the data contained in each
cell.
File name
Shows as many characters
as possible of the file name.
Column letters (A to Z)
Row numbers
(1 to 999)
Cell cursor
Edit box
Shows the contents of the cell where the cell
cursor is currently located. When multiple
cells are selected, the edit box indicates the
selected cell range.
Function menu
You can enter the following types of data into a cell.
Constants
A constant is something whose value is fixed as soon as you finalize its input. A
constant can be either a numeric value, or a calculation formula (such as 7+3,
sin30, A1×2, etc.) that does not have an equal sign (=) in front of it.
Text
A character string that starts with a quote mark (") is treated as text.
Formula
A formula that starts out with an equal sign (=), such as =A1×2, is executed as it
is written.
Note that complex numbers are not supported in the Spreadsheet mode.
9-1
9
Note
Though the maximum file size that can be handled by the Spreadsheet mode is 30KB, the
maximum size can be modified by changing the data type or conditional formatting. Also note
that the maximum file size changes in accordance with the amount of main memory available.
The following are examples of two conditions that would exceed the maximum file size.
(1) Inputting numeric value data into cells A1 through A999, B1 through B999, and C1 through
C520.
• In this case, the Spreadsheet strip in the eActivity mode will show up to cells A1 through
A999, B1 through B80.
(2) No data input, assigning the conditional formatting to cells A1 through A999 and B1
through B430.
Type: Expression
Expre: B1=2 A1^3+3 A1^2+4 A1+5
• In this case, the Spreadsheet strip in the eActivity mode will show up to cells A1 through
A999 and B1 through B410.
k Spreadsheet Screen Function Menu
• {FILE} ... Displays the following FILE submenu.
• {NEW}/{OPEN}/{SAVE • AS}/{RECALCS}/{CSV}
• {EDIT} ... Displays the following EDIT submenu.
• {CUT}/{PASTE}/{COPY}/{CELL}/{JUMP}/{SEQ}/{FILL}/{SORTASC}/{SORTDES}
• PASTE is displayed only immediately after CUT or COPY is executed.
• {DELETE} ... Displays the following DELETE submenu.
• {ROW}/{COLUMN}/{ALL}
• {INSERT} ... Displays the following INSERT submenu.
• {ROW}/{COLUMN}
• {CLEAR} ... Displays the following CLEAR submenu.
• {CONTENT}/{FORMAT}/{ALL}
• {GRAPH} ... Displays the following GRAPH menu. (Same as in the Statistics mode.)
• {GRAPH1}/{GRAPH2}/{GRAPH3}/{SELECT}/{SET}
• {CALC} ... Displays the following CALC (statistical calculation) menu. (Same as in the
Statistics mode.)
• {1-VAR}/{2-VAR}/{REG}/{SET}
• {STORE} ... Displays the following STORE submenu.
• {VAR}/{LIST}/{FILE}/{MAT}
• {RECALL} ... Displays the following RECALL submenu.
• {LIST}/{FILE}/{MAT}
• {CONDIT} ... Displays the conditional formatting setting screen.
• {COND1}/{COND2} ... Displays the {Condition1}/{Condition2} screens.
9-2
Data Entry Function Menu
• {GRAB} ... Enters the GRAB mode for entering a cell reference name.
• {$} ... Inputs the cell absolute reference command ($).
• {:} ... Inputs the cell range specification command (:).
• {If} ... Inputs the CellIf( command.
• {CELL} ... Displays a submenu for inputting the following commands.
• CellMin(, CellMax(, CellMean(, CellMedian(, CellSum(, CellProd(
• {RELATNL} ... Displays a submenu for inputting the following relational operators.
• =, ≠, >, <, ≥, ≤
2. Basic Spreadsheet Operations
This section explains spreadsheet file operations, how to move the cursor and select one or
more cells, and how to enter and edit data.
k Spreadsheet File Operations
u To create a new file
1. Press 1(FILE)1(NEW).
2. On the dialog box that appears, enter up to eight characters for the file name, and then
press w.
• This will create a new file and display a blank spreadsheet.
• A new file will not be created it there is already a file with the same file name you enter in
step 2. Instead, the existing file will be opened.
u To open a file
1. Press 1(FILE)2(OPEN).
2. On the file list that appears, use f and c to select the file you want and then press w.
u Auto Save
In the Spreadsheet mode, Auto Save saves the currently open file automatically whenever
you edit it. This means you do not need to perform any manual save operation.
u To save a file under a new name
1. Press 1(FILE)3(SAVE • AS).
2. On the dialog box that appears, enter up to eight characters for the new file name, and then
press w.
• If a file already exists with the same file name you enter in step 2, a message will appear
asking if you want to replace the existing file with the new one. Press 1(Yes) to replace
the existing file, or 6(No) to cancel the save operation and return to the file name input
dialog box in step 2.
9-3
u To delete a file
1. Press 1(FILE)2(OPEN).
2. On the file list that appears, use f and c to select the file you want to delete and then
press 1(DELETE).
3. This causes a confirmation message to appear. Press 1(Yes) to delete the file, or 6(No)
to cancel without deleting anything.
4. To return to the spreadsheet from the file list, press J.
• Deleting the currently open file will automatically create a new file named “SHEET” and
display its spreadsheet.
k Transferring Data between a Spreadsheet and CSV Files
You can import the contents of a CSV file stored with this calculator or transferred from a
computer into a spreadsheet. You also can save the contents of a spreadsheet as a CSV file.
u To import the contents of a CSV file to a spreadsheet
1. Prepare the CSV file you want to import.
• See “Import CSV File Requirements” (page 3-18).
2. Press 1(FILE)5(CSV)1(LOAD).
• Pressing w in the next step will overwrite all of the data on the spreadsheet with the CSV
file data.
3. On the select file dialog box that appears, use f and c to move the highlighting to the
file you want to import and then press w.
• This imports the contents of the CSV file you specified to the spreadsheet.
Important!
• All blank data in the CSV file is imported as a blank cell.
• An error occurs if a CSV file contains even a single text string data item.
• If the CSV file includes data that cannot be converted, an error message will appear showing
the location in the CSV file (Example: row 2, column 3) where the data that cannot be
converted is located.
• Attempting to import a CSV file that has more than 26 columns or 999 rows will cause an
“Invalid Data Size” error.
u To save spreadsheet contents as a CSV file
1. If required, press 1(FILE)4(RECALCS) to recalculate the spreadsheet contents.
• Note that recalculation is not performed automatically when you save spreadsheet
contents to a CSV file. Be sure to perform recalculation if the spreadsheet contains a
formula, which starts with an equals symbol (=). See “Inputting a Formula into a Cell”
(page 9-10) for more information.
• Formulas are not saved to the CSV file. Only calculation results are saved.
• All ERROR cell data on the spreadsheet is saved as blank data.
9-4
2. Press 1(FILE)5(CSV)2(SAVE • AS).
• This displays a folder selection screen.
3. Select the folder where you want to save the CSV file.
• To store the CSV file in the root directory, highlight “Root”.
• To store the CSV file in a folder, use f and c to move the highlighting to the desired
folder and then press 1(OPEN).
4. Press 1(SAVE • AS).
5. Input up to eight characters for the file name and then press w.
• For information about how certain types of data is converted when being saved to a CSV
file, see the “Important!” note under “To save matrix contents as a CSV file” (page 2-47).
u To specify the CSV file delimiter symbol and decimal point
Press 1(FILE)5(CSV)3(SET) to display the CSV format setting screen. Next, perform the
procedure from step 3 under “Specifying the CSV File Delimiter Symbol and Decimal Point”
(page 3-20).
k Recalculating All of the Formulas in the Currently Open Spreadsheet
The Spreadsheet mode has an Auto Calc features that automatically recalculates all of the
formulas in a spreadsheet whenever you open it or perform any editing operation. Auto Calc is
enabled under initial factory default settings. You also can execute a recalculation manually, if
you want.
Note
Stopping a recalculation part way through does not return spreadsheet contents to what
they were before the recalculation was started. The spreadsheet will show the results of the
recalculation up the point it was stopped.
u Auto Calc
Auto Calc is an Spreadsheet mode Setup item (page 1-35).
When Auto Calc is enabled (On), all of the formulas in a spreadsheet are recalculated when
the spreadsheet is opened or when any editing operation is performed. It should be noted,
however, that recalculation can slow down the overall processing speed. When Auto Calc is
disabled (Off), you need to execute recalculation manually as required.
u To execute spreadsheet re-calculation manually
Press 1(FILE)4(RECALCS). This recalculates all of the formulas in the currently open file
and displays the applicable results.
9-5
k Using the Cell Cursor
The cell cursor shows the cell that is selected on a spreadsheet. The highlighted cell is the one
that is currently selected by the cell cursor.
Cell cursor
Edit box
When a single cell is selected by the cell cursor, the contents of that cell are displayed in the
edit box. The cell contents can be edited in the edit box.
When a multiple cells are selected by the cell cursor, the selection range is displayed in the
edit box. In this case, you can copy, delete, or perform other cell operations on the entire range
of selected cells.
u To select cells
To select this:
Do this:
A single cell
Use the cursor keys to move the cell cursor to the cell
you want, or use the JUMP comment to jump directly
to the cell.
A range of cells
See “To select a range of cells” (page 9-7).
An entire row of cells
Move the cell cursor to column A of the row whose
cells you want to select and then press d. Pressing
d while the cell cursor is located at cell A2, for
example, will select the entire second row (from A2 to
Z2). This will cause A2:Z2 (which indicates the selected
range) to appear in the edit box.
An entire column of cells
Move the cell cursor to row 1 of the column whose cells
you want to select and then press f. Pressing f
while the cell cursor is located at cell C1, for example,
will select the entire column C (from C1 to C999).
This will cause C1:C999 (which indicates the selected
range) to appear in the edit box.
All of the cells in the spreadsheet
Press d while the entire column A is selected or
press f while the entire row 1 is selected. This will
select all of the cells in the spreadsheet and display the
spreadsheet file name in the edit box.
9-6
u Using the JUMP Command to Move the Cell Cursor
To move the cell cursor to here:
Do this:
A particular cell
1. Press 2(EDIT)4(JUMP)1(GO).
2. On the dialog box that appears, enter the name
of the cell (A1 to Z999) to which you want to
jump.
3. Press w.
Line 1 of the current column
Press 2(EDIT)4(JUMP)2(TOP↑).
Column A of the current row
Press 2(EDIT)4(JUMP)3(TOP←).
Last line of the current column
Press 2(EDIT)4(JUMP)4(BTM↓).
Column Z of the current row
Press 2(EDIT)4(JUMP)5(BTM→).
u To select a range of cells
1. Move the cell cursor to the start point of the range of cells you want to select.
• You could select and entire row or column of cells as the start point, if you want. For details
about selecting cells, see “To select cells” on page 9-6.
2. Press !i(CLIP).
• This will change the cell cursor to a thick-line boundary instead of the normal highlighting.
3. Use the cursor keys to move the cell cursor to the end
point of the range of cells you want to select.
• The edit box will show the range of the selected cells.
• To cancel cell selection, press J. If you do, the cell
cursor will be located at the end point of the range you
selected.
9-7
k Data (Constants, Text, Formula) Input Basics
First let’s have a look at a few basic procedures that apply regardless of the type of data you
are inputting.
u To overwrite data currently in a cell with new data
1. Move the cell cursor to the cell where you want to input data.
• If the cell you select already contains data, the following step will overwrite the existing
data with new input.
2. Use the calculator’s keys to input data.
• As you perform key operations to input values or text
(such as b, al(B), etc.), the applicable figures
will appear aligned left inside the edit box.
• To cancel an input operation part way through at any
point before advancing to step 3 below, press J. This
will return the cell contents to what they were in step 1
of this procedure.
3. To finalize and apply your input, press w.
u To edit cell data
1. Move the cell cursor to the cell whose contents you want to edit.
2. Press 2(EDIT)3(CELL).
• Cell contents in the edit box will change from align right
to align left. A text cursor will appear in the edit box so
you can edit its contents.
3. Use e and d to move the cursor around the contents of the cell, and edit them as
required.
• To cancel an edit operation part way through at any point before advancing to step 4
below, press J. This will return the cell contents to what they were in step 1 of this
procedure.
4. To finalize and apply your edits, press w.
u To move the cell cursor while inputting data into a cell
Under factory default settings, pressing w while inputting data into a cell will cause the cell
cursor to move to the next line. You can specify movement to the next column instead using the
“Move” setting as described on page 1-35.
9-8
k Inputting a Constant (Value, Calculation Result, Number Sequence) into
a Cell
A constant is something whose value is fixed as soon as you finalize its input. A constant can
be either a numeric value, or a calculation formula (such as 7+3, sin30, A1×2, etc.) that does
not have an equal sign (=) in front of it. Inputting sdaw, for example will cause the
value 0.5 (the calculation result) to appear in the cell (when Deg is selected as the Angle unit).
u To input a number sequence automatically based on a function expression
1. Move the cell cursor to the cell where you want number sequence input to start.
• Under initial default settings, automatic input of the number sequence will proceed
downwards from the start cell. You can specify a different direction using the “Move” setting
as described on page 1-35.
2. Press 2(EDIT)5(SEQ) to display the Sequence screen, and then specify the function
expression and values required to generate the required number sequence.
You can input data for the item that is highlighted on
the screen.
Reference name of the cell selected in step 1
Item
Description
Expr
Input the function expression f(x) for generating the number sequence.
Example: a+(X)x+bw (X2 + 1)
Var
Input the variable name used in the function expression input for Expr.
Example: a+(X)w (X)
Start
Input the starting value (X1) of the value to be substituted for the variable
specified by Var.
Example: cw
End
Input the ending value (Xn) of the value to be substituted for the variable
specified by Var.
Example: baw
Incre
Input the increment value (m) for successive value of X1, as in: (X2 = X1 + m),
(X3 = X2 + m), and so on. The number sequence is generated in the range of
X1 + (n – 1) m < Xn.
Example: cw
9-9
Item
1st Cell
Description
Input the reference name (A1, B2, etc.) of the cell where you want the first
value of the number sequence to be input. Specify a cell here only if the
starting cell is different from the one you specified in step 1 of this procedure.
Example: al(B)bw (B1)
• Each time you press w after inputting data for a setting item, the highlighting will move to
the next setting item. You also can use f and c to move the highlighting upwards and
downwards as required.
• Performing the next step will input the number string automatically starting from the
specified cell. If any cell that is within the range of cells where the number sequence
values will be input already contains data, the existing data will be replaced with the
number sequence values.
3. After inputting data for all the setting items, press 6(EXE) or the w key to start number
sequence generation and input.
→
k Inputting Text into a Cell
To input text, make sure the first thing you input into the cell is aE(”). The quote mark (")
tells the calculator that what follows is text, and should be displayed as-is without calculation.
The quote mark (") is not displayed as part of the text.
k Inputting a Formula into a Cell
For the sake of example, let’s try making a table that contains data based on the formula
× = . To do this, we would put values in column
A, values in column B, and calculation formulas (like = A1 × B1, = A2 × B2, and
so on) in column C. If the Auto Calc feature is enabled (On), the values in column C would be
recalculated and updated any time we change the values in column A or B.
In this example, note that we must start out the data in column C with the equal sign (=) in
order to indicate it is a formula. In addition to values, arithmetic operators, and cell reference
names, a formula also can contain built-in function commands (page 2-14) and special
Spreadsheet mode commands (page 9-19).
9-10
u Formula Input Example
A
1
B
PRICE
C
QUANTITY
TOTAL
2
35
15
525
3
52
15
780
4
78
20
1560
Procedure
1. Input the text for line 1, and the applicable values in cells A2 through B4.
2. Move the cursor to cell C2, and input the formula for A2 × B2.
!.(=)av(A)c*al(B)cw
3. Copy the formula in cell C2 and copy it into cells C3 and C4. Move the cell cursor to cell C2
and then perform the following operation.
2(EDIT)2(COPY)c1(PASTE)c1(PASTE)J
• For details about the copy and paste operations, see
“Copying and Pasting Cell Contents” (page 9-14).
k Inputting a Cell Reference Name
Each cell on a spreadsheet has what is called a “reference name”, which is derived by
combining its column name (A through Z) with its row name (1 through 999). A cell reference
name can be used inside of a formula, which makes the value of the called cell part of the
formula. See “Inputting a Formula into a Cell” above for more information. There are two
methods you can use to input a cell reference name: direct input of the name and input using
the GRAB command. The following illustrates how you would use each of these methods to
input =A1+5 into cell B1.
u To input a cell reference name using direct input
Move the cell cursor to cell B1 and then perform the following operation.
!.(=)av(A)b+fw
9-11
u To input a cell reference name using the GRAB command
Move the cell cursor to cell B1 and then perform the following operation.
!.(=)1(GRAB)d1(SET)+fw
• Commands 2(GO) through 6(BTM→) on the submenu that appears when you press
1(GRAB) are identical to commands 1(GO) through 5(BTM→) of the JUMP command
submenu. See “Using the JUMP Command to Move the Cell Cursor” on page 9-7 about
these commands.
k Relative and Absolute Cell Reference Names
There are two types of cell reference names: relative and absolute. Normally, cell reference
names are treated as being relative.
Relative Cell Reference Names
In the formula =A1+5, the cell reference name A1 indicates a relative cell reference. It is
“relative” because copying the formula and pasting in a different cell will cause the cell
reference name to change in accordance with the location of cell where it is pasted. If the
formula =A1+5 is originally located in cell B1, for example, copying at pasting in cell C3 will
result in =B3+5 in cell C3. Moving from column B to column C (one column) causes A to
change to B, while moving from row 1 to row 3 changes (two rows) changes the 1 to 3.
Important! If the result of a copy and paste operation causes a relative cell reference name
to change to something that is outside the range of the spreadsheet cells, the applicable
column letter and/or row number will be replaced by a question mark (?), and “ERROR” will be
displayed as the cell’s data.
Absolute Reference Names
If you want the row or the column, or both the row and the column parts of a cell reference
name to remain the same to matter where you paste them, you need to create an absolute cell
reference name. You do this by affixing a dollar sign ($) in front of the part of the cell reference
name you want to remain unchanged. You have three options when using the dollar sign ($)
to create an absolute cell reference name: absolute column with relative row ($A1), relative
column with absolute row (A$1), and absolute row and column ($A$1).
u To input the absolute cell reference name symbol ($)
When inputting a cell reference into a spreadsheet cell, press 2($).
For example, the following key operation inputs the absolute cell reference name = $B$1.
!.(=)2($)al(B)2($)b
9-12
k Specifying Cell Formatting
For each cell, you can specify the text color, cell color, and cell color lightness (Normal or
Lighter).
u To specify cell formatting
1. Select the range of cells whose formatting you want to specify.
2. Press !f(FORMAT) to display the FORMAT dialog
box.
3. Configure the above dialog box with the following settings.
To specify this:
Perform this operation:
Specify the text color
Press b(Char Color) and then use keys b through i
to specify the desired color.
Specify the cell color
Press c(Area Color) and then use keys b through i
to specify the desired color.
Specify the lightness of the
cell color
Press d(Paint Style) and then press b(Normal) or
c(Lighter).
4. To apply the settings you configure, return to the
FORMAT dialog box and then press J.
9-13
k Copying and Pasting Cell Contents
You can copy the contents of one or more cells and paste them into another location. Once
you perform the copy operation, you can copy the contents to multiple locations, if you want.
u To copy and paste spreadsheet data
1. Select the cell(s) you want to copy.
• See “To select cells” (page 9-6) for more information.
2. Press 2(EDIT)2(COPY).
• This will go into paste standby for the selected data, indicated by the 1 menu item
changing to (PASTE).
• You can exit the paste standby at any time before you perform step 4 below by pressing
J.
3. Use the cursor keys to move the cell cursor to location where you want to paste the data.
• If you selected a range of cells in step 1, the cell you select with the cell cursor will be the
upper left cell of the paste range.
• If the location you select is within the range that you copied, performing step below will
cause the exiting data to be overwritten with the pasted data.
4. Press 1(PASTE).
• This will paste the copied data.
• To paste the same data in other locations, repeat steps 3 and 4.
5. After you are finish pasting the data, press J to exit paste standby.
k Cutting and Pasting Cell Contents
You can use cut and paste to move the contents of one or more cells to another location. Cell
contents (regardless of whether it includes relative or absolute cell name references) generally
are unchanged by a cut and paste operation.
→
Cutting the formula =A1+5 in cell B1 and pasting it into cell B2. The A1 reference name is
unchanged.
9-14
When you are cut and paste a range cells, reference names that affect relationships within
the range are changed accordingly when the range is pasted in order to maintain the correct
relationship, regardless of whether they are relative or absolute reference names.
→
Cutting the B1:C1 range of cells that includes the formula =B1+5 and pasting it into B2:C2.
The formula pasted into C2 is changed to =B2+5 in order to maintain the relationship with
the cell to the left, which was also part of the pasted range.
u To cut and paste spreadsheet data
1. Select the cell(s) you want to cut.
• See “To select cells” (page 9-6) for more information.
2. Press 2(EDIT)1(CUT).
• This will go into paste standby for the selected data, indicated by the 1 menu item
changing to (PASTE).
• You can exit the paste standby at any time before you perform step 4 below by pressing
J.
3. Use the cursor keys to move the cell cursor to location where you want to paste the data.
• If you selected a range of cells in step 1, the cell you select with the cell cursor will be the
upper left cell of the paste range.
• If the location you select is within the range that you cut, performing step below will cause
the exiting data to be overwritten with the pasted data.
4. Press 1(PASTE).
• This will paste the data from the cell(s) you selected in step 1 and paste it into the location
you selected in step 3.
• Regardless of whether Auto Calc is enabled or disabled (page 9-5), pasting cut data will
cause all of the formulas in the spreadsheet to be recalculated.
9-15
k Inputting the Same Formula into a Range of Cells
Use the Fill command when you want to input the same formula into a specified range of cells.
The rules governing relative and absolute cell name references are the same as those for copy
and paste.
When you need to input the same formula into cells B1, B2, and B3, for example, the Fill
command lets you do so by inputting the formula once, into cell B1. Note the following about
how the Fill command handles cell name references in this case.
When cell B1 contains this:
The Fill command will do this:
=A1×2
A
B
1
=A1×2
2
=A2×2
3
=A3×2
=$A$2×2
A
B
1
=$A$2×2
2
=$A$2×2
3
=$A$2×2
* Note that in actual practice
cells B1, B2, and B3
will show the calculation
results, not the formulas as
shown here.
u To input the same formula into a range of cells
1. Select the range of cells into which you want to input the same formula.
• In this example we will assume the B1:B3 is selected. See “To select a range of cells”
(page 9-7).
2. Press 2(EDIT)6(g)1(FILL).
3. On the Fill screen that appears, enter the formula you want to input.
You can input data for the item that is
highlighted on the screen.
This is the range of cells you selected in step 1.
• In the “Formula” line, input =A1×2 (!.(=)av(A)b*cw). Pressing w will
cause the cell cursor to move to the “Cell Range” line.
• If any cell within the cell range already contains data, performing the next step will cause
the existing data to be overwritten with the new fill data (formula).
4. Press 6(EXE) or the w key.
• This will input the formula into the range of cells you specified.
9-16
k Sorting Constant Data
Note that only constant data can be sorted. You can select multiple columns within a single line
or multiple lines within a single column for sorting.
u To sort constant data
1. Select a range of column cells in a single row or a range of row cells in a single column.
• See “To select a range of cells” (page 9-7).
• A Syntax ERROR message will appear if any of the cells in the range you select contain
data other than constant data.
2. Depending on the type of sort you want to perform, perform either one of the following
operations.
To sort ascending: 2(EDIT)6(g)2(SORTASC)
To sort descending: 2(EDIT)6(g)3(SORTDES)
k Deleting and Inserting Cells
u To delete an entire line or column of cells
Select the row(s) or column(s) you want to delete and then press 3(DELETE). This will
delete the selected row(s) or column(s) immediately, without displaying a confirmation
message.
You also can perform the following steps to delete a row or column.
1. Select one or more cells inside the row(s) or column(s) you want to delete.
• If you want to delete lines 2 through 4, for example, you could select A2:B4, C2:C4, or any
other range of cells that includes the lines to be deleted.
• If you want to delete columns A and B, for example, you could select A1:B1, A2:B4, etc.
2. Press 3(DELETE).
• This enters delete standby. If you decide you want to cancel the delete operation at this
time, press J.
3. To delete the entire line(s) that include the cells you selected in step 1, press 1(ROW). To
delete the entire column, press 2(COLUMN).
u To delete the contents of all the cells in a spreadsheet
1. Press 3(DELETE)3(ALL).
2. In response to the confirmation message that appears, press 1(Yes) to delete the data or
6(No) to cancel without deleting anything.
9-17
u To insert a row or column of blank cells
1. Perform one of the following operations to specify the location of the insert and the number
of rows or columns to be inserted.
• To insert rows
Starting with the row immediately below of the row where you want the insert to be
performed, select the same number of rows that you want to insert.
Example: To insert three rows above row 2, you could select A2:A4, B2:C4, etc.
• To insert columns
Starting with the column immediately to the right of the column where you want the insert
to be performed, select the same number of columns that you want to insert.
Example: To insert three columns to the left of column B, you could select B2:D4,
B10:D20, etc.
2. Press 4(INSERT).
• This will enter insert standby. If you decide you want to cancel the insert operation at this
time, press J.
3. Press 1(ROW) to insert the applicable number of rows or 2(COLUMN) to insert
columns.
• A Range ERROR occurs if an insert operation causes existing cells that contain data to
move outside the range of A1:Z999.
k Clearing Cell Contents and Formatting
You can clear cell contents only, formatting only, or both contents and formatting.
• Content clear: Clears values, formulas, and other cell data.
• Format clear: Returns the character color, area color, and paint style settings of the cells to
their initial default settings. This operation also clears conditional formatting (page 9-21).
u To clear cell contents and formatting
1. Select the cell or range of cells you want to clear.
2. Perform the operations below to specify the cells you want to clear.
To clear this:
Perform this key operation:
Cell contents only
5(CLEAR)1(CONTENT)
Cell formatting only
5(CLEAR)2(FORMAT)
Cell contents and formatting
5(CLEAR)3(ALL)
9-18
3. Using Special Spreadsheet Mode Commands
The Spreadsheet mode has a number of special commands like CellSum(, which returns
the sum of a range of cells, and CellIf(, which specifies branching conditions. These special
commands can be used inside of formulas.
k Special Spreadsheet Mode Command List
“Input Key Operation” operations can be performed during cell input only.
You can omit anything enclosed in brackets ([ ]) in the Syntax of each command.
Command
Description
CellIf(
(Branch Condition)
Returns Expression 1 when the equality or inequality provided as
the branch condition is true, and Expression 2 when it is false.
Input Key Operation: 4(If)
Syntax: CellIf(equality, expression 1, expression 2[)] or
CellIf(inequality, expression 1, expression 2[)]
Example: =CellIf(A1>B1, A1, B1)
Returns the value of A1 when {Cell A1 value} > {Cell B1 value}.
Otherwise, returns the value of B1.
CellMin(
(Cell Minimum Value)
Returns the minimum value in a specified range of cells.
Input Key Operation: 5(CELL)1(Min)
Syntax: CellMin(start cell:end cell[)]
Example: =CellMin(A3:C5)
Returns the minimum value of the data in cell range A3:C5.
CellMax(
(Cell Maximum Value)
Returns the maximum value in a specified range of cells.
Input Key Operation: 5(CELL)2(Max)
Syntax: CellMax(start cell:end cell[)]
Example: =CellMax(A3:C5)
Returns the maximum value of the data in cell range A3:C5.
CellMean(
(Mean of Cells)
Returns the mean value in a specified range of cells.
Input Key Operation: 5(CELL)3(Mean)
Syntax: CellMean(start cell:end cell[)]
Example: =CellMean(A3:C5)
Returns the mean value of the data in cell range A3:C5.
9-19
Command
Description
CellMedian(
(Median of Cells)
Returns the median value in a specified range of cells.
Input Key Operation: 5(CELL)4(Med)
Syntax: CellMedian(start cell:end cell[)]
Example: =CellMedian(A3:C5)
Returns the median value of the data in cell range A3:C5.
CellSum(
(Sum of Cells)
Returns the sum of the data in a specified range of cells.
Input Key Operation: 5(CELL)5(Sum)
Syntax: CellSum(start cell:end cell[)]
Example: =CellSum(A3:C5)
Returns the sum of the data in cell range A3:C5.
CellProd(
(Product of Cells)
Returns the product of the data in a specified range of cells.
Input Key Operation: 5(CELL)6(Prod)
Syntax: CellProd(start cell:end cell[)]
Example: =CellProd(B3:B5)
Returns the product of the data in cell range B3:B5.
k Spreadsheet Mode Command Example
This example inputs the special Spreadsheet mode formula CellSum( into cell C1 in order to
calculate the sum of all the data in cell range A1:B5. It is assumed that there is already data in
the cell range A1:B5.
1. Move the cell cursor to cell C1 and then perform the following operation.
!.(=)5(CELL)5(Sum)
Jav(A)b3(:)al(b)f)
• You can perform the following operation, which uses the
GRAB function (page 9-12) and CLIP function (page
9-7) in place of the underlined part in the above
operation.
J1(GRAB)4(TOP←)
(Enters the GRAB mode and moves the cursor to A1.)
!i(CLIP)ecccc
(Specifies the selection range for the CLIP function.)
w)
2. Press w to finalize input of the formula.
9-20
4. Conditional Formatting
The conditional formatting function can be used to define conditional expressions (such as
A1<0) that determine the formatting (text color, area color, paint style) of a cell.
k Conditional Formatting Overview
You can specify up to two conditions for each cell.
Pressing 6(g)5(CONDIT) displays the Condition screen.
To select a particular condition, move the highlighting to the “Condition” line and then press
1(COND1) for Condition1 or 2(COND2) for Condition2.
u Condition Priority Sequence
When you have multiple conditions defined for a cell, they are applied starting from the lower
numbered condition first. If Condition1 is 0≤A1≤10 and Condition2 is 10≤A1≤20, for example,
both conditions are satisfied when A1=10 and the formatting specified by Condition1 is
applied.
If a cell is configured directly using the procedure under “To specify cell formatting” (page 9-13)
and with conditional formatting, application of the conditional formatting is given priority over
the direct settings.
u Condition Types
There are two different condition types: Value Of Cell and Expression.
• Type: Value Of Cell
Use this condition type to define a condition based on a formula (such as A1<0) that
references a value input into the cell. For example you could configure cell A1 so its text is red
when A1<0, and blue when 1100, A1 text is blue.
• When CellSum(B1:B30)≤A1, A1 text is blue, and when A1, etc.). stands for a single cell
reference (such as A1).
=ERROR, =BLANK, ≠ERROR, ≠BLANK, =,
≠
u To delete conditional formatting settings
1. Select the cell or range of cells whose conditional formatting you want to delete.
• Performing step 2 below will immediately clear, without any confirmation message, both
the conditional formatting as well as any character color, area color, and paint style
settings configured for the selected cell(s).
2. Press 5(CLEAR)2(FORMAT).
k Conditional Formatting Setting Example
In this example we will show how to configure the range of cells B3:C4 with the conditional
formatting shown below. This procedure assumes that the cells already contain values.
Condition
This formatting is applied:
When the value input in
the cell (=C) satisfies this
condition:
Character
Color
Area Color
Paint Style
1
C<0
Red
Yellow
Normal
2
0≤C≤100
Blue
Magenta
Lighter
9-25
u Procedure
1. Select the range of cells B3:C4.
2. Press 6(g)5(CONDIT) to display the Condition screen.
• Condition1 appears first, so configure the first condition here.
3. Use c to move the highlighting to “Expre” (Expression) and then press 6(g)1(C<䊐).
• Initially, “Cell < Value” is displayed in the Expre line.
4. Use c to move the highlighting to “Value” and then press aw to input 0.
5. Use c to move the highlighting to “Format” and then press 1(SETFORM).
• On the FORMAT dialog box that appears, configure the following settings:
Character Color: Red, Area Color: Yellow, Paint Style: Normal.
6. Use f to move the highlighting to “Condition1” and then press 2(COND2) to display
Condition2.
7. Repeat steps 3 through 5 above to configure the Condition2 settings.
• Input 1(䊐≤C≤䉭) in the “Expre” line, aw in the “V1” line, and baaw in the
“V2” line.
• In the “Format” line, press 1(SETFORM) and then configure the following settings:
Character Color: Blue, Area Color: Magenta, Paint Style: Lighter.
8 Press J.
• This returns to the screen in step 1 of this procedure
and applies the formatting you configured to each cell.
Note
• It may take some time to display calculation results when a large number of cells containing
conditional formatting are selected.
• Cell modification and recalculation may take some time to complete when there is a large
amount of conditional formatting.
9-26
5. Drawing Statistical Graphs, and Performing
Statistical and Regression Calculations
When you want to check the correlation between two sets of data (such as temperature and
the price of some product), trends become easier to spot if you draw a graph that uses one set
of data as the x-axis and the other set of data as the y-axis.
With the spreadsheet you can input the values for each set of data and draw a scatter plot or
other types of graphs. Performing regression calculations on the data will produce a regression
formula and correlation coefficient, and you can overlay a regression graph over the scatter
plot.
Spreadsheet mode graphing, statistical calculations, and regression calculations use the
same functions as the Statistics mode. The following shows an operation example that is
unique to the Spreadsheet mode.
k Example of Statistical Graph Operations (GRAPH Menu)
Input the following data and draw a statistical graph (scatter plot in this example).
0.5, 1.2, 2.4, 4.0, 5.2
(x-axis data)
–2.1, 0.3, 1.5, 2.0, 2.4
(y-axis data)
u To input data and draw a statistical graph (scatter plot)
1. Input the statistical calculation data into the spreadsheet.
• Here we will input the x-axis data into column A, and the y-axis data into column B.
2. Select the range of cells you want to graph (A1:B5).
3. Press 6(g)1(GRAPH) to display the GRAPH menu, and then press 1(GRAPH1).
• This will produce a scatter plot of the data in the range
of cells you selected in step 2 of this procedure.
• The graph shown here is what is produced under initial
default Spreadsheet mode settings. You can change
the configuration of graph settings on the screen that
appears when you press 6(SET) on the GRAPH
menu. For details see “General Graph Settings Screen
Operations” below.
9-27
k General Graph Settings Screen Operations
You can use the general graph setting screen to specify the range of data to be used for
graphing, and to select the type of graph to be drawn.
u To configure statistical graph settings
1. Input the statistical calculation data into the spreadsheet and then select the range of cells
you want to graph.
• Actually, the above step is not necessary at this point. You also could configure settings
first before inputting data and selecting the range of cells to be graphed.
2. Press 6(g)1(GRAPH)6(SET).
• This will display the general graph settings screen (StatGraph1 in this example).
You can configure the setting for the item that is
highlighted on the screen.
A function menu will appear when certain
setting items are selected.
• The number of columns you select in step 1 will determine what information is input
automatically on the general graph settings screen.
If you select this
number of columns:
This information will be input automatically:
1
XCellRange
2
XCellRange, YCellRange
3
XCellRange, YCellRange, Frequency
• The following describes each of the setting items for this screen.
Item
Description
StatGraph1
Select the name of the setup you want. You can have up to three
different setups registered, named StatGraph 1, 2, or 3.
Graph Type
Select the graph type. The initial default setting is Scatter (scatter plot).
XCellRange
Specifies the cell range assigned to the graph x-axis (XCellRange).
Only XCellRange is displayed for some Graph Types.
YCellRange
Specifies the cell range assigned to the graph y-axis (YCellRange).
The YCellRange is not displayed for some Graph Types.
9-28
Item
Description
Frequency
Specifies the range cells that contain values indicating the frequency
of each graph data item. Select 1(1) if you do not want to use
frequency values.
Mark Type
Specify the type of mark (,
scatter plot.
, or ) to use as the mark on the
3. Use f and c to move the highlighting to the setting item you want to change. On the
function menu that appears, select the setting you want.
• For details about the StatGraph1, Graph Type, and Mark Type settings, see “To display the
general graph settings screen” (page 6-3).
• If you want to change the XCellRange, YCellRange, or Frequency setting, move the
highlighting to the item you want to change and then input the cell range directly, or select
1(CELL) (2(CELL) for Frequency) and then edit the currently input range. When
inputting a cell range manually, use 1(:) to enter a colon (:) between two cells that define
the range.
4. After configuring the required settings, press J or w.
k Example of Statistical Calculation Operation (CALC Menu)
This example uses the data from the “Drawing a Scatter Diagram and xy Line Graph” (page
6-14) to perform paired-variable statistical calculations.
0.5, 1.2, 2.4, 4.0, 5.2
(x-data)
–2.1, 0.3, 1.5, 2.0, 2.4
(y-data)
u To perform paired-variable statistical calculations and regression
calculations
1. Input the above x-data into cells A1:A5 of the
spreadsheet and the y-data into cells B1:B5, and then
select the range of the cells where you input the data (A1:
B5).
2. Press 6(g)2(CALC) to display the CALC menu, and
then press 2(2-VAR).
• This will display a screen of paired variable calculation
results based on the data you selected in step 1. Use
c and f to scroll the result screen. To close the
screen, press J.
• For information about the meaning of each of the values on the result screen, see
“Displaying the Calculation Results of a Drawn Paired-Variable Graph” on page 6-21.
3. To return to the spreadsheet screen, press J.
9-29
k Using the Statistical Calculation Data Range Specification Screen
You can use a special setting screen to specify the range of data to be used for statistical
calculation.
u To specify the data range for statistical calculation
1. Input the statistical calculation data into the spreadsheet and then select its range of cells.
2. Press 6(g)2(CALC)6(SET).
• This will display a setting screen like the one shown to
the right.
• The number of columns you select in step 1 will determine what information is input
automatically on the statistical calculation data range specification screen.
If you select this
number of columns:
This information will be input automatically:
1
1Var XCell and 2Var XCell
2
1Var Freq and 2Var YCell
3
2Var Freq
• The following describes each of the setting items for this screen.
Item
Description
1Var XCell
1Var Freq
The cell range data specified here is used for variable x and
Frequency values when performing single-variable statistical
calculations.
2Var XCell
2Var YCell
2Var Freq
The cell range data specified here is used for variable x, variable y,
and Frequency values when performing paired-variable statistical
calculations.
3. If you want to change the cell range, use f and c to move the highlighting to the item
you want to change and the input the new cell range.
• To input the colon (:), press 1(:).
• To edit the currently input cell range, press 1(CELL) (in the case of 1Var XCell, 2Var
XCell, and 2Var YCell) or 2(CELL) (in the case of 1Var Freq and 2Var Freq).
4. After configuring the required settings, press J or w.
9-30
k Statistics Mode and Spreadsheet Mode Function Menu
Correspondence Table
In both the Statistics mode and the Spreadsheet mode, statistical graph functions are on
the GRAPH function menu and statistical/regression calculation functions are on the CALC
function menu. The structures of these menus and their submenus are the same in the
Statistics mode and the Spreadsheet mode. For details about each menu item, refer to the
pages referenced in the table below.
For information about
this menu item:
Refer to:
{GRAPH} - {GRAPH1}
“Statistical Graph Parameters” (page 6-1)
{GRAPH} - {GRAPH2}
{GRAPH} - {GRAPH3}
{GRAPH} - {SELECT}
“Graph Draw/Non-draw Status” (page 6-7)
{GRAPH} - {SET}
“Statistical Graph Parameters” (page 6-1)
“General Graph Settings”(page 6-2)
“To display the general graph settings screen”(page 6-3)
“General Graph Settings Screen Operations” (page 9-28)
{CALC} - {1-VAR}
“Single-Variable Statistical Calculations” (page 6-22)
{CALC} - {2-VAR}
“Paired-Variable Statistical Calculations” (page 6-23)
{CALC} - {REG}
“Regression Calculation” (page 6-23)
{CALC} - {SET}
“Using the Statistical Calculation Data Range Specification
Screen” (page 9-30)
9-31
When drawing a pie chart or bar graph, only the Color Link settings (page 6-3) are different
from the settings in the Statistics mode and Spreadsheet mode.
For this
graph
type:
Selecting
this for
Color Link:
Pie
Category
Of the data being used to draw the graph, the text color of the
cells in the range specified by the StatGraph screen “Category”
setting is reflected in the graph.
Data
Of the data being used to draw the graph, the text color of the
cells in the range specified by the StatGraph screen “Data” setting
is reflected in the graph.
Off
The text color of the data being used to draw the graph is ignored.
Category
Same as the pie chart, above.
Data
Of the data being used to draw the graph, the text colors of the
cells in the range specified by the StatGraph screen “Data1”,
“Data2”, and “Data3” settings are reflected in the graph.
Off
Same as the pie chart, above.
Bar
Causes this to happen:
• When “Pie” is selected as the Graph Type, the “Pie Area” setting is always “Link” whenever
anything other than “Off” is selected for the “Color Link” setting.
• When “Bar” is selected as the Graph Type, the “Data1 Area”, “Data1 Border”, “Data2 Area”,
“Data2 Border”, “Data3 Area”, and “Data3 Border” settings are always “Link” whenever
anything other than “Off” is selected for the “Color Link” setting.
u Graphing examples using Color Link
Example:
To input the data below into a spreadsheet and then draw a pie chart
with “Category” selected as the Color Link setting
1. Input the data shown nearby, with the text color of cells from A1 through A5 as shown.
• For information about specifying the text color, see “Specifying Cell Formatting” (page
9-13).
2. Select the cells in the range A1:B5.
• For information about selecting cells, see “To select a range of cells” (page 9-7).
9-32
3. Perform the following operation to display the general graph settings screen: 6(g)
1(GRAPH)6(SET).
• The “Category” and “Data” settings are configured automatically. Check to make sure that
A1:A5 is shown for “Category” and B1:B5 is shown for “Data”.
4. Use f and c to move the highlighting to “Graph Type” and then press 4(Pie).
5. Use f and c to move the highlighting to “Color Link”
and then press 1(Cat).
6. Press J to exit the general graph settings screen.
7. Press 1(GRAPH1).
• The graph will reflect the text colors in the “Category”
cell range (A1:A5).
• This completes graphing with Color Link. Next, let’s change the colors on the graph
screen.
8. Press !1(TRACE).
• This will highlight label A and display a pointer in area A of the graph.
9. Use f and c to move the pointer to area D and then pres !f(FORMAT).
10. On the color selection dialog box that appears, press c(Blue).
• This will close the dialog box and change the color of
area D to blue.
11. Press J to close the graph screen.
• The color you change to on the graph screen will be
reflected as the text color in the applicable cell of the
“Category” cell range.
9-33
6. Spreadsheet Mode Memory
You can use the calculator’s different types of memory (variables, list memory, file memory,
matrix memory) to store data, and recall data from a memory into the spreadsheet.
k Saving Spreadsheet Data to a Memory
The following table shows an overview of the store operations for each type of memory. For
details about each operation, see the example operations following the table.
Memory Type
Store Operation
Variables
(A ~ Z, r, θ)
You can assign the content of a single cell to a variable.
While a single cell is selected, press 6(g)3(STORE)1(VAR),
and then specify the variable name on the screen that appears.
List Memory
(List 1 ~ List 26)
You can store data in a range of cells in a single row or a single
column in list memory.
While a range of cells in a single row or single column is selected,
press 6(g)3(STORE)2(LIST), and then specify the list
number on the screen that appears.
File Memory
(File 1 ~ File 6)
You can store data in a range of cells that spans a multiple rows
and columns in file memory. While a range of cells is selected, press
6(g)3(STORE)3(FILE), and then specify the file number on
the screen that appears.
The first column of the selected range is stored in the specified file
as List 1, the second column is saved as List 2, and so on.
Matrix Memory
(Mat A ~ Mat Z)
You can store data in a range of cells that spans a multiple rows and
columns in matrix memory. While a range of cells is selected, press
6(g)3(STORE)4(MAT), and then specify the matrix name on
the screen that appears.
The first column of the selected range is stored in the specified
matrix as List 1, the second column is saved as List 2, and so on.
Note
When spreadsheet data is saved to list memory or file memory, the text color information
of each cell is inherited by the destination memory. Text color information is ignored when
spreadsheet data is saved to a variable or to matrix memory.
Important!
The following describes what happens if you try to store data in memory when a cell does not
contain any data, when a cell contains text, or when ERROR is displayed for a cell.
• If you are assigning data to a variable, an error occurs.
• If you are storing data in list memory, file memory, or matrix memory, 0 is written into the
applicable cell(s).
9-34
u Example: To store column data in list memory
1. In a single column, select the range of cells you want to store in list memory.
• For example, you could select A1:A10.
2. Press 6(g)3(STORE)2(LIST).
• This will display a screen like the one shown to the right.
The “Cell Range” setting will show the range of cells you
selected in step 1.
3. Press c to move the highlighting to “List[1~26]”.
4. Input the List number (1 to 26) of the list memory where you want to store the data and then
press w.
• Performing the next step will overwrite any data currently stored under the list memory
number you specified here with the data in the range of cells specified by “CellRange”.
5. Press 6(EXE) or the w key to store the data.
k Recalling Data from Memory to a Spreadsheet
The following table shows an overview of the recall operations for each type of memory. For
details about each operation, see the example operations following the table.
Memory Type
Recall Operation
List Memory
(List 1 ~ List 26)
You can recall data from a specified list memory to a range of
cells in a single row or a single column. While the first cell of
the range in a single row or single column is selected, press
6(g)4(RECALL)1(LIST), and then specify the list number on
the screen that appears.
Whether the data is recalled in a column direction or row direction
depends on the Setup screen’s “Move” setting (page 1-35).
File Memory
(File 1 ~ File 6)
You can recall data from a specified file memory to the spreadsheet.
Select the cell you want to be the upper left corner of the recalled
data and then press 6(g)4(RECALL)2(FILE). Next, specify
the file memory number on the screen that appears.
Matrix Memory
(Mat A ~ Mat Z)
You can recall data from a specified matrix memory to the
spreadsheet. Select the cell you want to be the upper left corner
of the recalled data and then press 6(g)4(RECALL)3(MAT).
Next, specify the matrix name on the screen that appears.
9-35
Note
• When data is recalled to a spreadsheet from list memory or file memory, the text color
information of each element is inherited by the spreadsheet cells. The area color and paint
style colors of the destination cells are set to their initial defaults of the destination cells.
• When data is recalled to a spreadsheet from matrix memory, the text color, area color, and
paint style are set to the initial defaults of the destination cells.
u Example: To recall data from a matrix memory to a spreadsheet
1. On the spreadsheet, select the upper left cell of the range where you want the recalled data
to be input.
2. Press 6(g)4(RECALL)3(MAT).
• This will display a screen like the one shown to the right.
The “1st Cell” setting will show the name of the cell you
selected in step 1.
3. Input the name (A to Z) of the matrix memory whose data you want to recall and then press
w.
4. Press 6(EXE) or w to recall the data.
Important!
When recalling list memory, file memory, or matrix memory data, an error will occur if the
recalled data runs outside the allowable range of the spreadsheet (A1:Z999).
9-36
Chapter 10 eActivity
You can use the eActivity mode to input data into an eActivity file. You can input text, numeric
expressions and pictures, and also paste data (like graphs, tables, etc.) from the calculator’s
built-in applications as “strips”.
eActivity files can be used by a teacher, for example, to create math problems or exercises that
provide hints to solutions, for distribution to students. Students can use eActivity files to keep
classroom notes, memos of problems and their solutions, etc.
1. eActivity Overview
The first thing that appears when you select the eActivity mode on the Main Menu is the file
menu.
No eActivity mode files in memory
At least one folder or an eActivity mode
file in memory
Opening a file in the eActivity mode will display a workspace screen that you can use for
inputting and editing text, calculation expressions, and other data.
Scroll bar
Text lines
Strip
Calculator’s
display area
Picture line
Math lines
Stop line
10-1
10
The following explains the type of data you can input and edit in an eActivity file.
Text line .................A text line can be used to input characters, numbers, and expressions as
text.
Calculation line......Use the calculation line to enter an executable calculation formula. The
result will appear in the following line. Calculations are performed the same
way as they are performed in the Run-Matrix mode, while the Math input/
output mode is selected.
Stop line ................A stop line can be used to stop calculation at a particular point.
Picture line ............A picture line can be used to insert an image.
Strip ......................A strip can be used to embed data into an eActivity from the Graph, Conic
Graphs, Spreadsheet, or other built-in applications.
2. eActivity Function Menus
k File List Function Menu
• {OPEN} ... Opens an eActivity file or folder.
• {NEW} ... Creates a new eActivity file.
• {DELETE} ... Deletes an eActivity file.
• {SEARCH} ... Searches for an eActivity file.
• {MEMO} ... Displays a list of memos included in the eActivity file currently selected in the file
list.
• {JUMP} ... Opens the eActivity file and jumps to the eActivity line where the memo selected
in the list is located.
• {EDIT} ... Displays a screen for editing the memo selected in the list.
• {DETAIL} ... Opens a details screen for the memo selected in the list.
• {DELETE} ... Deletes the memo selected in the list.
• {DEL-ALL} ... Deletes all memos in the eActivity file.
• At least 128 kbytes of memory area is required when the eActivity mode is used for the first
time. A Memory Full error will appear if there is not enough memory available.
10-2
k Workspace Screen Function Menu
Part of the content of the workspace function menu depends on the line (or strip) that is
currently selected.
• Workspace Screen Common Menu Items
Only the menu items marked with an asterisk (*) below are supported while a picture line is
selected.
• {FILE}* ... Displays the following file operation submenu.
• {SAVE} ... Saves the file currently being edited.
• {SAVE • AS} ... Saves the file currently being edited under another name.
• {OPT} ... See “Optimizing Storage Memory” on page 11-13.
• {CAPACITY} ... Displays a screen showing the data size of the file being edited and how
much memory capacity remains.
• {STRIP}* ... Inserts a strip.
• {JUMP}* ... Displays the following submenu to control cursor movement.
• {TOP}/{BOTTOM}/{PageUp}/{PageDown} ... See page 10-6.
• {DEL-LINE}/{DELETE}* ... Deletes the line that is currently selected or where the cursor is
located.
• {INSERT}* ... Displays the following insert submenu, for inserting a new line above the line
that is currently selected or where the cursor is located.
• {TEXT} ... Inserts a text line.
• {CALC} ... Inserts a calculation line.
• {STOP} ... Inserts a calculation stop line.
• {PICTURE} ... Inserts a picture line.
• {'MAT} ... Displays the Matrix Editor (page 10-9).
• {'LIST} ... Displays the List Editor (page 10-9).
• Menu when a Text Line is Selected
• {TEXT} ... Changes the current line from a text line to a calculation line.
• {CHAR} ... Displays a menu for inputting math symbols, special symbols, and characters of
various languages.
• {A⇔a} ... Toggles between uppercase and lowercase input while alpha character input is
enabled (by pressing the a key).
• {MATH} ... Displays the MATH menu (page 1-14).
10-3
• {COLOR} ... Displays the following COLOR submenu.
• {MARKER} ... Enters the marker mode for highlighting text (page 10-10).
• {CHAR} ... Enters the color mode for coloring text (page 10-11).
• {MEMO} ... Displays the following MEMO submenu.
• {INSERT} ... Appends a memo at the current cursor position.
• {DELETE} ... Deletes the memo at the current cursor position.
• {Catalog} ... Displays a list of memos included in a file.
• {VIEW} ... Displays the memo at the current cursor position.
• Menu when a Calculation Line or Stop Line is Selected
Only the menu items marked with an asterisk (*) below are supported while a stop line is
selected.
• {CALC}* ... Changes the current line from a calculation line to a text line.
• {MATH}* ... Same as {MATH} under “Menu when a Text Line is Selected”.
• {COLOR} ... Same as {COLOR} under “Menu when a Text Line is Selected”.
• {MEMO} ... Same as {MEMO} under “Menu when a Text Line is Selected”.
• Menu when a Strip is Selected
• {FILE} ... Displays the following file operation submenu.
• {SAVE}/{SAVE • AS}/{OPT}/{CAPACITY} ... Same as the {FILE} submenus under
“Workspace Screen Common Menu Items”.
• {SIZE} ... Displays the size of the strip at the current cursor position.
• {CHAR} ... Same as {CHAR} under “Menu when a Text Line is Selected”.
• {A⇔a} ... Same as {A⇔a} under “Menu when a Text Line is Selected”.
3. eActivity File Operations
This section explains the different file operations you can perform from the eActivity file menu
screen. All of the operations in this section can be performed while the file menu is displayed.
• For information about the 5(MEMO) function menu displayed for an eActivity file menu, see
“Appending a Memo to a Text Line or Calculation Line” (page 10-11).
• This section does not cover folder operations. For details about folders, see “Chapter 11
Memory Manager”.
u To create a new file
1. While the file menu is displayed, press 2(NEW).
• This will display a file name input screen.
10-4
2. Input up to 8 characters for the file name and then press w.
• This displays a blank workspace screen.
Cursor
• The following are the characters allowed in a file name.
A to Z, {, }, ’, ~, 0 to 9
u To open a file
Use f and c to highlight the file you want to open, and then press 1(OPEN) or w*.
* If an error occurs, delete capture memory and clipboard data, or transfer the data to your
computer.
u To delete a file
1. Use f and c to highlight the file you want to delete, and then press 3(DELETE).
• This will display a “Delete eActivity?” confirmation message.
2. Press 1(Yes) to delete the file or 6(No) to cancel without deleting anything.
u To search for a file
1. While the file menu is displayed, press 4(SEARCH).
• This will display a file search screen.
2. Enter part or the entire name of the file you want to find.
• File name characters are searched from left to right. Entering “IT” will count names like
ITXX, ITABC, IT123 as hits, but not names like XXIT or ABITC.
3. Press w.
• If a name matches the text you input in step 2, it will be
selected on the file menu.
• The message “Not Found” will appear if a match cannot be found. Press the J key to
close the message dialog box.
10-5
4. Inputting and Editing Data
All of the operations in this section are performed on the eActivity workspace screen. Use the
procedures under “eActivity File Operations” (page 10-4) to create a new file or to open an
existing file.
k Cursor Movement and Scroll Operations
When you want to do this:
Use this key operation:
Move the cursor forward and back
f or c
Scroll one screen back
!f or
6(g)1(JUMP)3(PageUp)
Scroll one screen forward
!c or
6(g)1(JUMP)4(PageDown)
Move the cursor to the beginning of the workspace
screen
6(g)1(JUMP)1(TOP)
Move the cursor to the end of the workspace screen
6(g)1(JUMP)2(BOTTOM)
k Inputting into a Text Line
Use a text line to input alphanumeric characters, expressions, etc.
u Inputting characters and expressions as text
1. Move the cursor to a text line.
• While the cursor is in a text line, “TEXT” will be displayed for the F3 function menu item.
This indicates that text input is enabled.
Text line cursor
3 key menu becomes “TEXT”.
10-6
• “CALC” will be displayed for the F3 function menu item if the cursor is located in a
calculation line. Pressing 3(CALC) will change the calculation line to a text line.
• If the cursor is located in a strip, use f and c to move to the cursor to a text line.
• On the function menu, selecting {INSERT} and then {TEXT} will insert a new text line
above the line where the cursor is currently located.
2. Input the text or expression you want into the text strip.
• See “Text Line Input and Editing Operations” described below.
u Text Line Input and Editing Operations
• You can input up to 255 bytes of text into a single text line. Text in the text line wraps
automatically to fit inside the display area (Word Wrap Function). Note, however, that
numeric expressions and commands do not wrap.*1 Scroll arrows (]') will appear on the
left and right sides of the calculation line to let you know some of the calculation does not fit
within the calculation line display area. In this case, you can use the left and right cursor keys
to scroll the calculation.
• The 5(A⇔a) function key toggles between upper-case and lower-case input. This function
is available only while alpha text input is enabled. See page 2-8 for details. When upper-case
input is selected,
is displayed in the status bar, and
is displayed while lower-case input
is selected.
• Press w to input a carriage return into text. No symbol will be displayed for a carriage
return.
• If the text is wrapped into multiple lines, pressing the A key will delete the line where the
cursor is currently located only. The part of the text that is wrapped to other lines will not be
deleted.
• Always use the Math input/output mode (page 1-13) to input an expression into a text line.
*1 Also, any word that includes the symbol “ ’ ”, “ { ” or “
”, which are input using the menu
that appears when you press 4(CHAR), does not wrap.
k Inputting into a Calculation Line
Inputting a calculation expression into an eActivity calculation line and pressing w will display
the calculation result in the following line. Such a calculation line can be used in the same way
as the Run-Matrix mode (page 1-3). A calculation line and its result make up one set.
• Note that the word wrap function does not apply in the case of math lines. Scroll arrows
(]') will appear on the left and right sides of the calculation line to let you know some of
the calculation does not fit within the calculation line display area. In this case, you can use
the left and right cursor keys to scroll the calculation.
10-7
u To input a calculation formula into an eActivity
1. Move the cursor to a calculation line.
• While the cursor is in a calculation line, “CALC” will be displayed for the F3 function menu
item. This indicates that calculation expression input is enabled.
Math line cursor
This will cause the 3 key menu to change to
“CALC”.
• “TEXT” will be displayed for the F3 function menu item if the cursor is located in a text line.
Pressing 3(CALC) will change the calculation line to a text line.
• If the cursor is located in a strip, use f and c to move to the cursor to a calculation
line.
• On the function menu, selecting {INSERT} and then {CALC} will insert a new calculation
line above the line where the cursor is currently located.
2. Input a calculation expression (Example: s$!E(π)cg).
• Calculation line input and editing operations are the
same as those in the Run-Matrix mode while the Math
input/output mode is selected.
3. To obtain the result of the calculation, press w.
10-8
u Matrix Calculations Using the Matrix Editor
Selecting {'MAT} on the function menu displays the Matrix Editor.
Matrix Editor operations and matrix calculations in the eActivity mode are the fundamentally
identical to those in the Run-Matrix mode. For details about the Matrix Editor and matrix
calculation operations, see “Matrix Calculations” (page 2-41). Note, however, that eActivity
mode Matrix Editor operations and matrix calculations differ from those in the Run-Matrix
mode as described below.
• eActivity mode matrix memory is saved separately for each file. Matrix memory will be
different from those produced when called from a non-eActivity mode.
u List Calculations Using the List Editor
Selecting {'LIST} on the function menu displays the List Editor.
List Editor operations in the eActivity mode are identical to those in the Statistics mode
(“Inputting and Editing a List”, page 3-1). This processing and calculations are fundamentally
the identical to those in the Run-Matrix mode (“Manipulating List Data” on page 3-7,
“Arithmetic Calculations Using Lists” on page 3-13). Note, however, that eActivity mode List
Editor operations and list calculations differ from those in other modes as described below.
• The eActivity mode List Editor function menu provides only screen two of the Statistics
mode List Editor function menu.
• To return to the workspace screen from the List Editor in the eActivity mode, press J.
• In the eActivity mode, values for list memory is saved separately for each file. List memory
will be different from those produced when called from a non-eActivity mode.
k Inserting a Calculation Stop Line
Pressing w after you edit a calculation line on a workspace screen that contains multiple
calculation lines will cause all of the calculations following the edited line to be re-calculated.
Re-calculation can take quite a bit of time if there are a large number of calculation lines or
if some of the calculations are complex. Inserting a calculation stop line will stop the recalculation process at the point where the line is located.
u To insert a stop line
On the function menu, select {INSERT} and then {STOP} to insert a stop line above the
currently selected line or strip.
10-9
k Highlighting and Changing the Color of Text
You can highlight or change the color of text line or calculation line text in order to add
emphasis.
• You cannot mark or change the color of the text of a calculation line result.
u To highlight text
1. Move the cursor to the beginning (or end) of the text you
want to highlight.
2. Press 6(g)5(COLOR)1(MARKER).
3. On the dialog box that appears, press the number key that corresponds to the highlighting
color (magenta, green, cyan, yellow) you want to use.
• This closes the dialog box. The cursor will now be the
color you selected.
4. Use e and d to move the cursor in the direction of the text you want to highlight.
• The text the cursor passed over will become highlighted.
• You also can highlight across multiple lines by using f
and c to change lines before moving the cursor left
and right.
5. To apply the highlighting, press 1(SET).
• To cancel highlighting, press J.
u To unhighlight text
Perform the same operation you used to highlight text under “To highlight text” to unhighlight it.
In step 3, press v(Clear) instead of selecting a highlight color.
10-10
u To change the text color
1. Move the cursor to the beginning (or end) of the text whose color you want to change.
2. Press 6(g)5(COLOR)2(CHAR).
3. On the dialog box that appears, press the number key that corresponds to the color you
want to use.
• This closes the dialog box. The cursor will now be the color you selected.
4. Use e and d to move the cursor in the direction of the text whose color you want to
change.
• You also can change text color across multiple lines by using f and c to change lines
before moving the cursor left and right.
5. To register the character color change, press 1(SET).
• To cancel the character color change, press J.
k Appending a Memo to a Text Line or Calculation Line
After you append a memo to a text line or calculation line in an eActivity file, you can jump to
that line from the memo list.
Memo icon
→
Memo list
Jumping to the line where
the memo is located
• You can append one memo per line.* The memo icon will appear in the upper right corner of
the screen if there is a memo appended to the line where the cursor is currently located.
* Note that a line of text runs from the beginning of the line up to the next new line operation
(which is not displayed) and may span multiple display lines.
• In addition to being able to display the memory list while an eActivity file is open, you also
can open it by pressing 5(MEMO) in the file menu before opening the eActivity file.
• A memo can be appended to a text line or calculation line only.
• You cannot append a memo to a calculation line result.
10-11
u To append a memo to a line
1. Move the cursor to the text line or calculation line where you want to append a memo.
2. If the cursor is located at a text line, press 6(g)6(g)3(MEMO)1(INSERT). If it is at a
calculation line, press 6(g)6(g)1(MEMO)1(INSERT).
• This displays a memo color selection dialog box.
3. Use the cursor keys to move the highlighting to the color you want to select and then press
w. Or you can use the number keys to enter the number next to the color you want to
select.
• A memo window appears in the center of the screen, ready for text input.
Memo Window
4. Enter the text you want. You can enter an explanation of the line, some symbol, etc.
• You can enter up to 255 bytes of text.
5. Press w.
• This closes the memo window. At this time the memo icon will appear in the upper right
corner of the screen because there is now a memo appended to the line where the cursor
is located.
u To jump to a line that has a memo appended
1. If the cursor is currently located at a text line, press 6(g)6(g)3(MEMO)3(Catalog).
If it is at a calculation line, press 6(g)6(g)1(MEMO)3(Catalog).
• This displays a list of memos contained in the file.
2. Use f and c to move the highlighting to the memo for your jump destination and then
press w.
• This jumps to the line where the selected memo is located, with the cursor at the first
character of the line.
10-12
u To edit the text of an existing memo
1. Move the cursor to the line where the memo you want to edit is appended.
2. If the cursor is located at a text line, press 6(g)6(g)3(MEMO)4(VIEW). If it is at a
calculation line, press 6(g)6(g)1(MEMO)4(VIEW).
• This will display the memo window as shown in the screen shot on the left, below. Pressing
3(DETAIL) here will display a memo detail editing screen like the screen shot on the
right. You can use either of these screens to edit memo text. The detail editing screen is
best when the memo contains a lot of text.
→
3. Edit the text and then press w.
• This returns to step 1 of this procedure.
u To remove a memo
1. Move the cursor to the line where the memo you want to remove is appended.
2. If the cursor is located at a text line, press 6(g)6(g)3(MEMO)2(DELETE). If it is at
a calculation line, press 6(g)6(g)1(MEMO)2(DELETE).
3. In response to the confirmation dialog that appears, press 1(Yes) to delete the memo or
6(No) to cancel the delete operation.
10-13
k Inserting an Image (Picture)
The following table shows the image file sizes that are supported for insertion into an eActivity
file.
Width × Height
(dots)
Size
(a) 384 × 216
This is the overall screen size for this
model. The graphic images stored
in picture memory (page 5-21) are
this size. The 48 vertical dots that are
outside of the eActivity display range
can be displayed by scrolling.
(b) 384 × 192
This is the screen size when a graph
screen is saved to picture memory
(page 5-21).
Example Screen
• The line on the eActivity workspace screen where an image is inserted is called a “picture
line”. You can insert only one image per picture line, and you cannot enter text or numbers
into the same line where a picture line is inserted.
• You can insert a 16-bit g3p format file or a screen image (3-bit g3p format file) saved to
capture memory (page 1-36).
10-14
u To insert an image
1. Use f and c to move the cursor to the location where you want to insert the image.
2. If the cursor is located at a text line, press 6(g)3(INSERT)4(PICTURE). If it is at a
calculation line, press 5(INSERT)4(PICTURE).
• This displays a list of g3p files stored in the PICT folder in storage memory.
3. Use f and c to move the highlighting to the image you want to insert and then press
w.
• This inserts the image with a red boundary around it. The red boundary means that the
image is selected.
u To select an image
You can use f and c to move the cursor between lines and select images. The following
shows how images appear on the display when they are selected.
Selecting an image that does not have a boundary causes a red boundary to appear around it.
→
Selecting an image that has a boundary causes the boundary to change color, indicating it is
highlighted.
→
10-15
u To add a boundary line around an image
1. Use f and c to select the image to which you want to add a boundary line.
2. Press !f(FORMAT).
• This displays a dialog box for specifying the style and color of the boundary line.
3. Specify the boundary line style and color.
• Use f and c to move the highlighting to Line Style or Line Color and then press w.
On the option dialog box that appears, highlight the option you want to select and then
press w.
• The following are the settings that are available for Line Style and Line Color.
Line Style: 1.Normal, 2.Thick, 3.Thin
Line Color: 1.Black, 2.Blue, 3.Red, 4.Magenta, 5.Green, 6.Cyan, 7.Yellow, 8.White
4. After the settings are the way you want, press J.
u To remove a boundary line from around an image
1. Use f and c to select the image whose boundary line you want to remove.
2. Press !f(FORMAT)c(Line Color)j(Clear)w.
3. Press J.
u To delete an image
1. Use f and c to select the image you want to delete.
2. Press 6(g)2(DELETE).
3. In response to the confirmation dialog that appears, press 1(Yes) to delete the image or
6(No) to cancel the delete operation.
k Using Strips
Strips are tools that let you embed built-in application data into an eActivity file. Only one
built-in application screen can be associated with each strip, and the strip can store the data
(graphs, etc.) produced by the screen.
The table below shows the built-in application screens that can be inserted into strips. The
“Strip Name” column shows the names included on the dialog box that appears when you
press 2(STRIP).
10-16
Strip Data Type Table
Data Type
Strip Name
Run-Matrix mode calculation data (When the Run-Matrix mode is
called from an eActivity, it starts up in the Math input/output mode.)
RUN
Graph mode graph screen data
Graph
Graph mode graph relation list screen data
Graph Editor
Table mode table relation list screen data
Table Editor
Conic Graphs mode graph screen data
Conics Graph
Conic Graphs mode function list screen data
Conics Editor
Statistics mode statistical graph screen data
Stat Graph
Statistics mode List Editor data
List Editor
Equation mode calculation solution screen data
Solver
Recursion mode recursion type selection screen
Recur Editor
Notes screen data (Notes is a special eActivity application. See “Notes
Strips” on page 10-19 for more information.)
Notes
Run-Matrix mode Matrix Editor data
Matrix Editor
Equation mode simultaneous equation solution screen data
Simul Equation
Equation mode high-order equation solution screen data
Poly Equation
Dyna Graph mode graph screen data
Dynamic Graph
Financial mode calculation solution screen data
Financial
Spreadsheet mode spreadsheet screen data
SpreadSheet
E-Con2 mode setup wizard data
Econ SetupWizard
E-Con2 mode advanced setup data
Econ AdvancSetup
E-Con2 mode advanced setup data
(Executing this strip starts sampling immediately based on the setup
information that is recorded to the strip the first time the strip is
executed.)
Econ Sampling
E-Con2 mode advanced setup data
(Executing this strip graphs sampled data that is recorded to the strip
the first time the strip is executed.)
Econ Graph
Geometry mode screen data
Geometry
Picture Plot mode screen data
Picture Plot
10-17
u To insert a strip
1. Move the cursor to the location where you want to insert
the strip.
2. Press 2(STRIP).
• This will display a dialog box with a list of insertable
strips. For information about the display names and
data types that appear on this dialog box, see the “Strip
Data Type Table” (page 10-17).
3. Use c and f to select the strip that corresponds to the type of data you want to insert.
• In this example we will select “Graph” (Graph mode graph screen data).
4. Press w.
• This will insert the type of strip you selected (Graph strip in this example) one line above
the line where you located the cursor in step 1 of this procedure.
5. Input up to 16 characters for the strip title, and then press
w.
6. Press w again to start creating strip data.
• This will start up the built in application for the selected
strip type (Graph mode in this example), and display
the graph screen. At this point, a blank graph screen
appears because there is no data yet.
7. Press J to display the graph relation list screen.
10-18
8. Enter the function you want to graph.
1
(Example: Y = x2 – 1)
2
9. Press 6(DRAW).
• This will graph the function you entered.
10. To return to the eActivity workspace screen, press !a(').
• The data that is graphed in step 8 will be saved in the Graph strip.
• The saved graph data is linked to this Graph strip only. It is independent of data for
modes that are entered from the Main Menu.
11. Pressing w here again will display the graph screen, and draw the graph based on the
data saved by the strip.
u Notes Strips
“Notes” is a special eActivity text editor that comes in handy when you want to write long text
explanations on the workspace screen. You can call up the Notes screen from a Notes strip on
the workspace screen. Input and editing operations on the Notes screen are identical to those
you use for an eActivity text line.
10-19
The following describes the Notes screen function menu items.
• {JUMP}... Displays a JUMP menu that you can use to jump to the top (1(TOP)) of the data,
the bottom (2(BOTTOM)) of the data, the previous page (3(PageUp)), or the next
page (4(PageDown)).
• {DEL-LINE} ... Deletes the line that is currently selected or where the cursor is located.
• {INSERT} ... Inserts one new line above the line where the cursor is currently located.
• {MATH} ... Displays the MATH menu (page 1-14).
• {CHAR} ... Displays a menu for inputting math symbols, special symbols, and characters of
various languages.
• {A⇔a} ... Toggles between uppercase and lowercase input while alpha character input is
enabled (by pressing the a key).
u To change the title of a strip
1. Use c and f to select the strip whose title you want to change.
2. Input up to 16 characters for the strip title, and then press w.
• The remainder of the existing title will disappear as soon as you input the first character.
Input the new title in its entirety. If you want to partially edit the existing title, press d or
e first to move the cursor.
• Pressing J instead of w will exit trip title editing without changing anything.
u To call an application from a strip
Use c and f to select the strip whose application you want to call and then press w.
• This will display the application screen that corresponds to the selected strip. If the strip
already contains data, the application is called using the data that was last saved.
• The background color of the status bar changes from its normal white to light cyan to indicate
that the displayed application screen was called from a strip.
• If you select a Conics Graph strip and press w without inputting any graph data, the Conics
Editor screen appears in place of the Conics Graph screen.
10-20
u To toggle between the eActivity workspace screen and an application
screen called from a strip
Press !a(').
Each press of !a(') toggles between the eActivity workspace screen and the
application screen called from the strip.
u To switch from an application screen called up from a strip to another
application screen
Press !,(,). On the dialog box that appears, use c and f to select the name of
an application and then press w.
u To display the strip memory usage screen
1. Use c and f to select the strip whose memory usage screen you want to view.
2. Press 1(FILE)5(SIZE).
• This will display the memory usage screen of the
currently selected strip.
3. To exit the memory usage screen, press J.
u To delete a line or strip
1. Move the cursor to the line or strip you want to delete.
• If you move the cursor to a calculation line, note that both the calculation and the result will
be deleted.
2. Press 6(g)2(DEL-LINE).
• This causes a confirmation message to appear.
3. Press 1(Yes) to delete, or 6(No) to cancel without deleting anything.
10-21
k Saving a File
Use the procedures in this section to save a file after inputting or editing it on the workspace
screen.
An eActivity file for the fx-CG10/fx-CG20 may have a file name extension of “g3e”. Performing
either of the following operations on the fx-CG10/fx-CG20 to save an eActivity file always will
cause the extension “g3e” to be appended to the file name.
• Saving a newly created file
• Saving an existing file using the “save as” operation (1(FILE)2(SAVE • AS))
If you save an eActivity file using the fx-CG10/fx-CG20 to save a file with a file name extension
“g2e” (a file transferred from an older version calculator), the file name extension will be
determined according to the following rules.
• The “g3e” extension is used for an eActivity file that includes data for new features added by
the fx-CG10/fx-CG20.
Here, the expression “data for new features added by the fx-CG10/fx-CG20” means, for
example, colored text data, memo data appended to a line, picture line data, etc.
• The “g2e” extension is used for eActivity files other than those described above.
u To replace the existing file with the new version
Press 1(FILE)1(SAVE) to save the currently open file.
u To save a file under a new name
1. On the eActivity workspace screen, press 1(FILE)2(SAVE • AS).
• This will display a file name input screen.
2. Input up to 8 characters for the file name and then press w.
• If a file already exists with the same file name you enter in step 2, a message will appear
asking if you want to replace the existing file with the new one. Press 1(Yes) to replace
the existing file, or 6(No) to cancel the save operation and return to the file name input
dialog box in step 2.
Important!
• An eActivity file with the g3e file name extension cannot be opened by any CASIO calculator
model older than the fx-CG10/fx-CG20.
• Using the fx-CG10 or fx-CG20 to open an eActivity file with a file name extension of g1e
or g2e, which was created on an older model CASIO calculator (fx-9860G, fx-9860GII, fx9860G AU, fx-9860G AU PLUS, GRAPH 85/85 SD, GRAPH 95/75), will cause any G-MEM
(Graph memory) or DYNA MEM (Dynamic Graph memory) instances in the eActivity strips to
be deleted.
10-22
k Displaying the eActivity Memory Usage Screen
The maximum size of an eActivity file is approximately 29,000 bytes.* You can use the
eActivity file memory usage screen to check how much memory capacity remains for the file
you are currently working on.
* Actual maximum file size depends on capture memory and clipboard memory usage, and
may be less than 29,000 bytes.
u To display the eActivity memory usage screen
On the workspace screen, press 1(FILE)4(CAPACITY).
File usage
Remaining file memory capacity
To exit the memory usage screen, press J.
u To return to the file list from the workspace screen
Press J.
If a confirmation message appears asking if you want to save the current file appears, perform
one of the operations described below.
To do this:
Press this key:
Overwrite the existing eActivity file with the edited version and return
to the file list
1(Yes)
Return to the file list without saving the file you are currently editing
6(No)
Return to the eActivity workspace screen
A
10-23
Chapter 11 Memory Manager
This calculator includes main memory and storage memory for data storage.
The main memory is a work area where you can input data, perform calculations, and run
programs. Data in the main memory can be deleted by batteries going dead or when you
perform a reset.
Storage memory is an area for storing eActivity files, picture data (g3p files), and other
relatively large-volume data. The storage memory uses “flash memory,” so data is safe even
when power is interrupted. Normally, you should use the storage memory for data you need to
store securely for long periods, loading data into the main memory only when you need it.
1. Using the Memory Manager
From the Main Menu, enter the Memory mode.
• {MAIN} ... {displays main memory information}
• {STRGMEM} ... {displays storage memory information}
• {BACKUP} ... {main memory backup}
• {OPT} ... {storage memory optimization}
k Memory Information Screen
The memory information screen shows information about one memory at a time: the
calculator’s main memory or storage memory.
To display this memory information screen:
Press this key:
Main memory
1(MAIN)
Storage memory
2(STRGMEM)
11-1
11
• Use the cursor f and c keys to move the highlighting and check the number of bytes
used by each type of data.
• The status bar shows the remaining capacity of the currently displayed memory area (main
or storage).
• If the name of a file transferred to storage memory from your computer or other source
has a file name that is more than eight characters long, its name will abbreviated to
eight characters when displayed on the storage memory information screen (Example:
AAAABBBBCC.txt > AAAABB~1.txt). Also, if a file name extension has more than three
characters, everything after the third character of the file name extension will be trimmed off.
• Up to 300 files per folder can be displayed on the main memory information screen. If a
folder has more than 300 files and you need to display them all, divide them among multiple
folders so the total number of files in a single folder is not greater than 300.
• Up to 200 files per folder can be displayed on the storage memory information screen. If a
folder has more than 200 files and you need to display them all, divide them among multiple
folders so the total number of files in a single folder is not greater than 200.
• Though you can create folders on your computer nested to more than three levels in storage
memory, this calculator will display only up to the third level.
• Moving the highlighting to a data group or folder and pressing w will display the data group
or folder contents. Pressing J will return to the previous screen.
• While storage memory folder contents are displayed, the top line of the screen shows the file
path to the current directory level. “SMEM” stands for “Storage Memory”.
• The following are characters that can be used in file names and folder names.
A-Z, a-z, 0-9, !, #, $, %, ', ,(comma), (, ), +, –, ., ;, =, @, [, ], ^, _, `, ~, space
11-2
The following data can be checked.
Main Memory
Note
For information about the “Overwrite Check” column in the table below, see “To execute a
send operation” (page 13-12) and “Error Checks During Data Copy” (page 11-9).
Icon/Data Name
Contents
Overwrite
Check
ALPHA MEM
Alpha letter variables
No
CONICS
Conics setting data
No
DYNA MEM
Dynamic Graph memory
Yes
E-CON2
E-Con2 group
—
ECON2
E-Con2 mode current data
Yes
SUnnn
E-Con2 mode setup data
Yes
EQUATION
Equation data
No
F-MEM
Function memory group
—
F-MEM n (n = 1 to 20)
Function memory
No
G-MEM
Graph memory group
—
G-MEM n (n = 1 to 20)
Graph memory
Yes
@GEOM
Geometry group
—
@IMAGE
Geometry mode current data
Yes
Each Geometry file name
Geometry data
Yes
LISTFILE
List file group
—
LIST n (n = 1 to 26, and Ans)
List memory contents
Yes
LISTFILE n (n = 1 to 6)
List file
Yes
MATRIX
Matrix group
—
MAT n (n = A to Z, and Ans)
Matrix
Yes
@PICTPLT
Picture Plot group
—
PICTPLOT
Picture Plot data
Yes
PROGRAM
Program group
—
Each program name
Programs
Yes
RECURSION
Recursion data
No
S-SHEET
Spreadsheet group
—
11-3
Icon/Data Name
Contents
Overwrite
Check
_SETTING
Spreadsheet mode setting data
No
Each spreadsheet name
Spreadsheet data
Yes
SETUP
Setup data
No
STAT
Stat result data
No
STRING
String memory group
—
STRING n (n = 1 to 20)
String memory
No
SYSTEM
OS and data shared by applications
(clipboard, replay, history, etc.)
No
TABLE
Table data
No
FINANCE
Financial mode data
No
V-WIN
V-Window memory group
—
V-WIN n (n = 1 to 6)
V-Window memory
No
Y=DATA
Graph expression
No
Each add-in application name
Application-specific data
Yes
Storage Memory*1
Icon
File Extension
Description
.g1m, .g2m, .g3m,
.g1r, or .g2r
Data items listed in the main memory information
screen that has been copied to storage memory.
.g1e, .g2e, or .g3e
eActivity files
.g3a, .g3l
.g3a: Add-in applications
.g3l: Add-in languages and add-in menus
.g3p
Picture files
.g3b
Flipbook files
.bmp
Bitmap files
.txt
Text files
.csv
CSV files
Other file name
extensions
These files are not supported by this calculator.
*1 “No Data” is displayed when there is no data in storage memory.
11-4
k Creating a Folder in Storage Memory
u To create a new folder
1. While storage memory data is on the display, press 4(FOLDER)1(MKEFLDR) to display
the folder name input screen.
2. Input up to eight characters for the name you want to give
to the folder.
• Only the following characters are supported: A through
Z, {, }, ’, ~, 0 through 9
• An “Invalid Name” error occurs if the name you input is
already being used by an existing file.
• To cancel folder creation, press J.
3. Press w to create the folder and return to the storage
memory information screen.
• This calculator supports nesting of folders up to three levels only.
• Though you can create folders on your computer nested to more than three levels in storage
memory, this calculator will display only up to the third level. In this case you will be able to
see folders stored in a level three folder, but you will not be able to open them.
• Selecting a folder stored in a level three folder and then performing the delete operation
(page 11-10) will delete the selected (level 4) folder and everything inside it.
u To rename a folder
1. On the storage memory information screen, select the folder you want to rename.
2. Press 4(FOLDER)2(RENFLDR) to display the rename folder screen.
• The remaining steps of this procedure are the same as those starting with step 2 under
“To create a new folder” above.
11-5
k Viewing Detailed Information about a File in Storage Memory
On the storage memory information screen, you can highlight a file and then press
5(DETAIL) or e to display its DETAIL screen. If you select a g3p or g3b file, these
operations will display a preview of the file’s image.
Non g3p/g3b File
5(DETAIL)
or e
→
←
J or d
g3p/g3b File
5(DETAIL)
or e
→
←
J or d
e
→
←
d
• You can use e and d to move between the storage memory information screen, file
DETAIL screen, and image preview screen (g3p or g3b file only) as shown above.
• Pressing f or c while a file DETAIL screen or image preview screen is displayed will
scroll either up or down to the DETAIL screen or image preview screen of the next file in the
sequence that the files are listed on the storage memory information screen.
• Pressing f or c while a file DETAIL screen is displayed will scroll to the DETAIL screen
of the next file in the sequence that the files are listed on the storage memory information
screen.
11-6
k Selecting Data
• Press 1(SELECT) to select the currently highlighted item, which is indicated by the
selection pointer ( ) appearing next to it. Pressing 1(SELECT) again will deselect the item,
causing the selection pointer to disappear.
• You can select multiple files, if you want.
→
1(SELECT)
←
• Selecting a group or folder also selects everything inside of it. Deselecting a group or folder
deselects all of its contents.
w
→
• If you select one or more individual items inside of a data group or folder, the selection
pointer ( ) appears next to each item, while a selection pointer ( ) appears next to the
group or folder name.
J
→
• Returning to the Memory mode initial screen deselects all currently selected items.
11-7
k Copying Data
u To copy from main memory to storage memory
The following procedure saves the selected data into a single file. You assign a name to the
file, which is stored in storage memory.
1. On the main memory information screen, select the data you want to copy.
2. Press 2(COPY).
• This displays the folder selection screen. “ROOT” is the
storage memory root directory.
3. Specify the folder you want.
• Highlight ROOT to copy the data to the root directory.
• To copy the data to a specific folder, use f and c to move the highlighting to the
desired folder and then press 1(OPEN).
4. Press 1(SAVE • AS).
• This displays the file name input screen.
5. Input the file name you want to give to the file.
• To cancel the copy operation, press J.
6. Press 5(g3m) or 6(g2m) as required to specify the file format.
• g3m is the fx-CG10/fx-CG20 file type. g2m is the file format used to transfer data to the
fx-9860GII and other older model calculators via Program-Link Software (FA-124).
7. Press w to copy the data.
• The message “Complete!” appears when the copy operation is complete.
11-8
u To copy from storage memory to main memory
1. On the storage memory information screen, select the file you want to copy.
• The only files that can be copied to main memory are those with one of the following
file name extensions: g1m, g2m, g3m, g1r, g2r. Selecting a file of any other format and
performing the following step will cause an “Invalid Type” error.
• Performing the following step causes the files stored in storage memory to be expanded
into individual component data (SETUP, STAT, and other data described on page 11-3),
and copy the data to main memory.
2. Press 2(COPY) to copy the data.
• Depending on the data type, an overwrite confirmation message will appear if there
is always data with the same name in main memory as the data being copied. For
information about which types of data cause a confirmation message to appear, see the
“Overwrite Check” column in the data table on page 11-3. “Yes” means that a confirmation
message is displayed, while “No” indicates that the copy operation is performed without
any confirmation message.
• The message “Complete!” appears when the copy operation is complete.
u Error Checks During Data Copy
The following error checks are performed while a data copy operation is being executed.
Low battery check
The calculator performs low battery check before starting the data copy operation. If the
battery is at Level 1, a low battery error occurs and the copy operation is not performed.
Available memory check
The calculator checks to see if there is enough free memory available to store the copied data.
A “Memory Full” error occurs if there is not enough memory available.
A “Too Many Data” error occurs when the number of data items is too great.
Overwrite check
The calculator checks to see if there is any existing data at the copy destination with the same
name as the data being copied.
An overwrite confirmation message appears if there is data
with the same name.
• 1(Yes) ... overwrites the existing data with the new
data
• 6(No) ... advances to the next data item without
copying the data with the same name
• Pressing A will cancel the copy operation.
11-9
Type mismatch error check
Only files whose names have the extension .g1m, .g2m, .g3m, .g1r, or .g2r can be copied from
storage memory to main memory. Any other type of error will cause a type mismatch error.
k Other File Operations
u To delete a file or folder
1. Display the main memory information screen or the storage memory information screen.
2. Select all of the files and folders you want to delete.
• For details about selecting files and folders, see “Selecting Data” (page 11-7).
3. Press 6(DELETE).
4. In response to the confirmation dialog that appears, press 1(Yes) to delete or 6(No) to
cancel the delete operation.
u To search for a file
Example
To search for all files in the main memory (or storage memory) whose
names begin with the letter “R”
1. Display the main memory (or storage memory) information screen.
2. Press 3(SEARCH).
• Input the letter “R” for the keyword.
• The first file name that begins with the letter “R” appears
highlighted on display.
• You can input up to eight characters for the keyword.
• The message “Not Found” appears if there are no file names that match your keyword.
11-10
k Backing Up Main Memory Data
u To back up main memory data
1. On the initial Memory mode screen press 4(BACKUP).
2. Press 1(SAVE).
• This displays a folder selection screen.
3. Use f and c to select the folder where you want to save the data.
4. Press w to start the backup.
• A “Memory Full” occurs when there is not enough space available in the storage memory
to complete the backup operation.
• The following message appears if there is already
backup data in the storage memory.
Press 1(Yes) to back up the data, or 6(No) to cancel the backup operation.
The message “Complete!” appears when the backup operation is finished.
• Backup data is saved in a file named BACKUP.g3m.
5. Press J to return to the screen displayed in step 1.
11-11
u To restore backup data to the main memory
1. On the initial Memory mode screen press 4(BACKUP).
• On the screen that appears, you can confirm whether or not there is backup data in the
storage memory.
2. Press 2(LOAD).
• This displays the folder selection screen.
3. Use f and c to select a folder.
4. Press w.*1
• A message appears to confirm whether or not you really
want to restore the backed up data.
*1 The message “No Data” will appear if there is no
backup data stored in the selected folder. Pressing J
will return the screen in step 1.
Press 1(Yes) to restore the data and delete any data currently in the area.
Press 6(No) to cancel the data backup operation.
The message “Complete!” appears when the restore operation is finished.
Press J to return to the screen displayed in step 1.
11-12
k Optimizing Storage Memory
Storage memory can become fragmented after many store and load operations, causing
entire blocks of memory to become unavailable for data storage. Because of this, you should
periodically perform the storage memory optimization procedure, which rearranges the data in
the storage memory and makes memory usage more economical.
• Note that the calculator performs storage memory optimization automatically whenever you
perform a save operation and the calculator discovers storage memory is running low.
u To optimize the storage memory
On the initial Memory mode screen, press 5(OPT) to optimize the storage memory.
The message “Complete!” appears when the optimize operation is complete.
Press J to return to the initial Memory mode screen.
• In some cases, the amount of free memory capacity may be unchanged when you check
it after performing the optimization procedure. This does not indicate any problem with the
calculator.
11-13
Chapter 12 System Manager
Use the System Manager to view system information and make system settings.
1. Using the System Manager
From the Main Menu, enter the System mode and display the following menu items.
• 1(DISPLAY) ... {display brightness adjustment}
• 2(PWRProp) ... {power properties settings}
• 3(LANGUAGE) ... {system language}
• 4(VERSION) ... {version}
• 5(RESET) ... {system reset operations}
• 6(g)1(BattSet) ... {battery settings}
• 6(g)2(UserName) ... {user name registration}
• 6(g)5(OS Update) ... {OS update}
2. System Settings
k Display Brightness Adjustment
While the initial System mode screen is displayed, press 1(DISPLAY) to display the
brightness adjustment screen.
• The e cursor key makes display brightness lighter.
• The d cursor key makes display brightness darker.
• 1(INITIAL) returns display brightness to its initial default.
Press J or !J(QUIT) to return to the initial System mode screen.
12-1
12
k Power Properties Settings
u To specify the Auto Power Off trigger time
While the initial System mode screen is displayed, press 2(PWRProp) to display the Power
Properties setting screen.
• 1(10Min) ... {10 minutes} (initial default setting)
• 2(60Min) ... {60 minutes}
Press J or !J(QUIT) to return to the initial System mode screen.
u To specify the backlight duration
1. While the initial System mode screen is displayed, press 2(PWRProp) to display the
Power Properties setting screen.
2. Use f and c to select “Backlight Duration”.
• 1(30Sec) ... {turns off the backlight 30 seconds after the last key operation is performed}
(initial default setting)
• 2(1Min) ... {turns off the backlight one minute after the last key operation is performed}
• 3(3Min) ... {turns off the backlight three minutes after the last key operation is performed}
3. Press J or !J(QUIT) to return to the initial System mode screen.
12-2
k System Language Setting
Use LANGUAGE to specify the display language for built-in applications.
u To select the message language
1. While the initial System mode screen is displayed, press 3(LANGUAGE) to display the
Message Language selection screen.
2. Use the f and c cursor keys to select the language you want, and then press
1(SELECT).
3. The pop up window appears using the language you selected. Check the contents and then
press J.
4. Press J or !J(QUIT) to return to the initial System mode screen.
u To select the menu language
1. While the initial System mode screen is displayed, press 3(LANGUAGE) to display the
Message Language selection screen.
2. Press 6(MENU).
3. Use the f and c cursor keys to select the language you want, and then press
1(SELECT).
4. The pop up window appears using the language you selected. Check the contents and then
press J.
• Press 6(MESSAGE) to return to the Message Language selection screen.
5. Press J or !J(QUIT) to return to the initial System mode screen.
12-3
k Version List
Use VERSION to display the operating system version.
u To display version information
1. While the initial System mode screen is displayed, press 4(VERSION) to display the
Version list.
2. Use f and c to scroll the screen. The contents of the list are shown below.
- Operating system version
- Add-in application names and versions (only installed add-ins are displayed)
- Message languages and versions
- Menu languages and versions
3. Press J or !J(QUIT) to return to the initial System mode screen.
k Reset
1. While the initial System mode screen is displayed, press 5(RESET) to display the Reset
Screen 1.
• 1(SETUP) ... {setup initialization}
• 2(MAIN) ... {main memory data clear}
• 3(ADD-IN) ... {add-in application clear}
• 4(STRGMEM) ... {storage memory data clear}
• 5(A&S) ... {add-in application and storage memory
data clear}
Pressing 6(g) on the above screen displays the Reset Screen 2 shown below.
• 1(M&S) ... {main memory data and storage memory
data clear}
• 2(ALL) ... {all memory clear}
• 3(LANGUAGE) ... {add-in language clear}
12-4
The following table shows the functions of the function keys. You can use the function keys
to delete the specific data you want.
Function Key Functions
Delete Storage
Initialize
Delete Main
Delete
Delete
Memory Data
Setup
Memory
Add-in
Add-in
(Excluding Add-in
Information
Data
Applications Languages Applications and
Languages)
1(SETUP)
2(MAIN)
3(ADD-IN)
4(STRGMEM)
5(A&S)
6(g)1(M&S)
6(g)2(ALL)
6(g)
3(LANGUAGE)
*1
*1 If an add-in language is selected for the System Language Setting (page 12-3), the add-in
language file (g3l) is not deleted.
2. Press the function key that corresponds to the reset operation you want to perform.
3. In response to the confirmation message that appears, press 1(Yes) to perform the reset
operation you specified, or 6(No) to cancel.
4. A message appears to let you know when the reset operation is complete.
→
Screen produced when
2(MAIN) is pressed in step 2.
Screen produced when
1(Yes) is pressed in step 3.
Important!
Note that deleting add-in language data causes the language setting to switch automatically to
English. The deleted language will no longer be available for display.
12-5
Note
After pressing 6(g)2(ALL) to execute initialize all you will need to configure a number of
initial settings, the same way you do the first time you turn on the calculator after purchasing
it. The following screens will appear automatically in sequence. Use each one to configure the
required settings.
• Message Language selection screen (page 12-3)
• Display Settings screen (page 12-1)
• Power Properties screen (page 12-2)
• Battery Settings screen (shown below)
k Battery Settings
Important!
Whenever you replace batteries, be sure to perform the operation below to specify the type of
batteries you are loading.
u To change the battery type
1. From the initial System mode screen, press
6(g)1(BattSet).
2. Use f and c to move the highlighting to the battery
type that matches the batteries you are using and then
press 1(SELECT).
3. Press 1(Yes) to change the setting, or 6(No) to cancel without changing anything.
12-6
k User Name
Use the procedure in this section to identify yourself as the user of the calculator by registering
your name and organization.
Important!
• In order to protect against misuse of your calculator, be sure to also register a password
when you register your name and organization. You will need to enter the correct password
whenever you want to change or delete the registered user name and/or organization. Take
care that you do not forget the password.
If you do, you will need to contact your original retailer or nearest CASIO authorized service
center when you want to change the user name and/or organization.
• Do not remove batteries or press the RESTART button while the operation below is in
progress. Doing so can corrupt data.
u To register or edit a user name and organization
1. While the initial System mode screen is displayed, press
6(g)2(UserName) to display the user name screen.
2. Press 1(EDIT).
• If nothing is registered yet, the cursor will appear in the “User Name” field.
• If there is already data registered, the cursor will appear in the “Password” field. If this
happens, enter the correct password and then press w. If the password matches the one
that is registered, the cursor will move to the “User Name” field. If the password does not
match, the cursor will remain in the “Password” field.
3. Input information in the sequence shown below.
(1) Input a User Name (up to 19 characters) and then press c or w.
(2) Input your Organization (up to 19 characters) and then press c or w.
(3) Input a Password (up to eight characters) and then press w.
• Inputting a password and pressing w will display a registration confirmation dialog box to
appear.
4. Press 1(Yes) to register the information or 6(No) to cancel the registration operation.
12-7
u To delete the user name and organization name
1. While the initial System mode screen is displayed, press 6(g)2(UserName) to display
the user name screen.
2. Press 2(DELETE).
• This will display the cursor in the “Password” field.
3. Enter the correct password and then press w.
• This causes a confirmation dialog box to appear.
4. Press 1(Yes) to delete or 6(No) to cancel the delete operation.
k OS Update
You can update the operating system by connecting the calculator to a computer. For details,
see the text of releases that are issued when a new operating system version is released.
12-8
Chapter 13 Data Communication
This chapter explains how to transfer data between a calculator and a computer, or between
two calculators. Data communication operations are performed in the Link mode.
From the Main Menu, enter the Link mode. The following data communication main menu
appears on the display.
• {TRANSMIT} ... {displays the data send screen}
• {RECV} ... {displays the data receive screen}
• {CABLE} ... {displays the cable type selection screen}
• {WAKEUP} ... {displays the wakeup setting screen}
• {CAPTURE} ... {displays the screen image capture setting
screen}
Communication parameters are fixed at the following settings.
• 3-pin serial port
• Speed (BPS): 9600 bps max. (Connected with CFX-9850G series or fx-7400G series
calculator)
115200 bps max. (Connected with another fx-CG10, fx-CG20, fx-9860GII
SD, fx-9860GII, fx-9860G AU PLUS, fx-9750GII, fx-7400GII, fx-9860G Slim
(OS 1.11), fx-9860G SD (OS 2.00), fx-9860G (OS 2.00) or fx-9860G AU (OS
2.00) calculator)
• Parity (PARITY): NONE
• USB port
• Communication speed is in accordance with USB standards.
k Configuring the Receiver’s Wakeup Feature
When Wakeup is turned on the receiver, the receiver turns on automatically when data transfer
starts.
• When communicating between two calculators (3PIN selected as the cable type), the
receiver enters the receive mode automatically after it wakes up.
• When communication is with a computer (USB selected as the cable type), connecting the
USB cable to a computer and then to the calculator (while the calculator is turned off) will
cause the calculator to turn on and the “Select Connection Mode” dialog box to appear.
1. On the receiver’s data communication main menu, press
5(WAKEUP).
This displays the Wakeup setting screen.
• {On} ... {turns Wakeup on}
• {Off} ... {turns Wakeup off}
2. Press 1(On).
This turns on Wakeup and returns of the data communication main menu.
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13
3. Turn off the receiver.
4. Connect the receiver to the sender.
5. Starting a send operation on the sender causes the receiver to turn on automatically and
performs the data transfer operation.
k Capture Set Mode
You can specify either g3p format or bmp format for screen images saved by the operation
!h(CAPTURE).
The data communication menu provides the following operations.
6(CAPTURE)1(Memory) ... Saves screen capture images in g3p format.
6(CAPTURE)2(BMP) ... Saves screen capture images in bmp format.
For details about the screen capture operation, see “Using Screen Capture” (page 1-36).
k Select Connection Mode Screen
Connecting the USB cable to the calculator will cause the “Select Connection Mode” dialog
box to appear. The key operation you should perform on this screen depends on the device
currently connected to the calculator.
• 1(USB Flash) ... Mode for connecting the calculator to
a computer for data transfer. See
“To establish a connection between the
calculator and a computer” (page 13-3).
• 2(ScreenRecv) ... Mode for using the Screen Receiver
software on a Windows Vista® or
Windows® 7 computer to display the
calculator screen on the computer. For details, see the separate “Screen
Receiver User’s Guide”.
Wait until the calculator screen appears on the Screen Receiver window
before performing any calculator operation.
• 3(ScreenR(XP)) ... Mode for using the Screen Receiver software on a Windows® XP
computer to display the calculator screen on the computer.
• 4(Projector) ... Mode for connecting the calculator to a projector and projecting the
calculator screen. See “Connecting the Calculator to a Projector” (page
13-16).
Important!
The “Select Connection Mode” dialog box will not appear if you connect the USB cable to the
calculator while the busy indicator is on the display or while a graph, Geometry mode figure,
or other figure is flashing on the display. Wait until the busy indicator disappears, or perform
the required operation to stop the flashing of the graph or figure, and then try connecting the
USB cable again.
13-2
1. Performing Data Communication between the
Calculator and a Personal Computer
Establishing a USB connection between the calculator and a computer will cause the
computer to recognize the calculator’s storage memory as a mass storage drive. Connection
immediately causes main memory contents to be read into storage memory automatically,
so main memory data can be accessed from the computer. After a connection is established,
data can be transferred between the calculator and computer using computer operations only.
k Minimum Computer System Requirements
The following are the minimum requirements for a computer to exchange data with the
calculator.
• USB port
• Running one of the following operating systems.
Windows® XP Home Edition (SP1 or later)
Windows® XP Professional (32-bit, SP1 or later)
Windows Vista® (32-bit, SP1 or later)
Windows® 7 (32-bit, 64-bit)
Mac OS® X (10.5.6 or later, 10.6.2 or later)
k Connecting and Disconnecting with a Computer in the Mass Storage
Mode
Use the USB cable that comes with the calculator to connect to your computer.
Important!
Never touch the USB cable plugs and screen while a data communication operation is in
progress. Static electricity from your fingers can cause data communication to be terminated.
u To establish a connection between the calculator and a computer
1. Start up your computer.
2. After starting up your computer, use the USB cable to connect it to the calculator.
• The calculator will turn on automatically and the “Select Connection Mode” screen will
appear.
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3. Press 1(USB Flash).
• The message “Preparing USB” will appear on the
calculator screen. Stand by and do not perform any
operation on the calculator. Establishing a connection
between the calculator and a computer will cause the
screen shown nearby to appear.
4. On your computer, open the calculator drive.
• The calculator drive will appear inside My Computer under Windows XP, and inside
Computer under Windows Vista or Windows 7. Use Windows Explorer to open the
calculator drive.
• Under Mac OS X, the calculator drive icon appears on the Mac desktop. Double-click the
icon to open it.
• The calculator drive represents calculator’s storage memory.
5. Perform the required operation on your computer to transfer the data.
• For details about data transfer operations, see “Transferring Data between the Calculator
and a Personal Computer” (page 13-5).
u To terminate the connection between the calculator and a computer
1. If the calculator is connected to a Windows computer, note the drive letter (E, F, G, etc.)
assigned to the calculator drive.
2. Depending on the type of operating system your computer is running, perform one of the
following operations.
• Windows: Click the “Safely Remove Hardware” icon in the toolbar in the lower right corner
of the display. On the menu that appears, select “USB mass storage device” whose letter
matches the calculator drive letter you noted in step 1 above. Check to make sure the
“Safe To Remove Hardware” message is displayed.
• Mac OS: Drag the calculator drive icon to the Eject icon (Trash icon). Check to make sure
that the calculator drive icon is no longer on your desktop.
3. The message “Updating Main Memory” will appear on the calculator screen. Stand by and
do not perform any operation on the calculator. The message “Complete!” will appear after
updating of main memory is complete. To close the message dialog box, press J.
4. Disconnect the USB cable from the calculator.
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k Transferring Data between the Calculator and a Personal Computer
This section explains how to connect the calculator to the computer and open the calculator
drive on the computer to transfer data.
u Main Memory Data during a USB Connection
The contents of the @MainMem folder in the calculator drive correspond to the contents of the
calculator’s main memory. Each time you establish a connection between the calculator and a
computer, the contents of the calculator’s main memory are copied to storage memory.
If there is not enough storage memory capacity to support the copy operation, the message
“Storage Memory Full” will be displayed on the calculator and the copy operation will not be
performed. If this happens, delete files you no longer need from storage memory to increase
capacity, and then try establishing a USB connection again.
Each group in main memory is displayed as a folder in the @MainMem folder. Also, each data
item in main memory is displayed as a file in the @MainMem folder.
Main Memory group names and data item names are displayed in the @MainMem folder as
shown in the table below.
Main Memory @MainMem
Group Name Folder Name
E-CON2
ECON2
F-MEM
FMEM
@GEOM
GEOM
G-MEM
GMEM
LISTFILE
LISTFILE
MATRIX
MATRIX
@PICTPLT
@PICTPLT
Main Memory
Item Name
Econ2
SUxxx
F-MEM xx
@IMAGE
G-MEM xx
LIST xx
LISTFILE x
MAT ANS
MAT x
PICTPLOT
PROGRAM
PROGRAM
S-SHEET
V-WIN
SSHEET
VMEM
ROOT
ROOT
V-WIN x
ALPHA MEM
RECURSION
SETUP
STRING
CONICS
13-5
@MainMem File Name
ECON2.g3m
SUxxx.g3m
FMEMxx.g3m
@IMAGE.g3m
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