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EL-520W (TINSExxxxEHZZ)_ENGLISH_1

Unit conversions can be performed in the normal mode (when not

set to binary, pental, octal, or hexadecimal), equation mode and

statistics modes.

Calculations Using Engineering Prefixes

Calculation can be executed in the normal mode (excluding N-

base) using the following 9 types of prefixes.

Modify Function

Calculation results are internally obtained in scientific notation

with up to 14 digits for the mantissa. However, since calculation

results are displayed in the form designated by the display nota-

tion and the number of decimal places indicated, the internal

calculation result may differ from that shown in the display. By

using the modify function, the internal value is converted to match

that of the display, so that the displayed value can be used

without change in subsequent operations.

Solver Function

The x value can be found that reduces an entered equation to “0”.

• This function uses Newton’s method to obtain an approxima-

tion. Depending on the function (e.g. periodic) or ‘Start’ value,

an error may occur (Error 2) due to there being no convergence

to the solution for the equation.

• The value obtained by this function may include a margin of

error. If it is larger than acceptable, recalculate the solution

after changing ‘Start’ and dx values.

• Change the ‘Start’ value (e.g. to a negative value) or dx value

(e.g. to a smaller value) if:

• no solution can be found (Error 2).

• more than two solutions appear to be possible (e.g. a cubic

equation).

• to improve the arithmetic precision.

• The calculation result is automatically stored in the X memory.

[Performing Solver function]

Q Press m0.

W Input a formula with an x variable.

E Press ∑0.

R Input ‘Start’ value and press ®. The default value is “0”.

T Input dx value (minute interval).

Y Press ®.

SIMULATION CALCULATION (ALGB)

If you have to find a value consecutively using the same formula,

such as plotting a curve line for 2x2 + 1, or finding the variable for

2x + 2y =14, once you enter the equation, all you have to do is to

specify the value for the variable in the formula.

Usable variables: A-F, M, X and Y

Unusable functions: Random function

• Simulation calculations can only be executed in the normal

mode.

•

Calculation ending instructions other than

cannot be used.

Performing Calculations

QPress m0.

WInput a formula with at least one variable.

EPress @≤.

RVariable input screen will appear. Input the value of the flashing

variable, then press ® to confirm. The calculation result will

be displayed after entering the value for all used variables.

• Only numerical values are allowed as variables. Input of

formulas is not permitted.

• Upon completing the calculation, press @≤ to per-

form calculations using the same formula.

ENGLISH

INTRODUCTION

Thank you for purchasing the SHARP Scientific Calculator Model

EL-520W.

About the calculation examples (including some formulas and

tables), refer to the reverse side of this English manual. Refer to

the number on the right of each title in the manual for use.

After reading this manual, store it in a convenient location for

future reference.

Operational Notes

• Do not carry the calculator around in your back pocket, as it

may break when you sit down. The display is made of glass

and is particularly fragile.

• Keep the calculator away from extreme heat such as on a car

dashboard or near a heater, and avoid exposing it to exces-

sively humid or dusty environments.

• Since this product is not waterproof, do not use it or store it

where fluids, for example water, can splash onto it. Raindrops,

water spray, juice, coffee, steam, perspiration, etc. will also

cause malfunction.

• Clean with a soft, dry cloth. Do not use solvents or a wet cloth.

• Do not drop it or apply excessive force.

• Never dispose of batteries in a fire.

• Keep batteries out of the reach of children.

• This product, including accessories, may change due to up-

grading without prior notice.

NOTICE

• SHARP strongly recommends that separate permanent

written records be kept of all important data. Data may be

lost or altered in virtually any electronic memory product

under certain circumstances. Therefore, SHARP assumes

no responsibility for data lost or otherwise rendered unusable

whether as a result of improper use, repairs, defects, battery

replacement, use after the specified battery life has expired,

or any other cause.

• SHARP will not be liable nor responsible for any incidental or

consequential economic or property damage caused by

misuse and/or malfunctions of this product and its peripherals,

unless such liability is acknowledged by law.

♦Press the RESET switch (on the back), with the tip of a ball-

point pen or similar object, only in the following cases. Do not

use an object with a breakable or sharp tip. Note that pressing

the RESET switch erases all data stored in memory.

• When using for the first time

• After replacing the batteries

• To clear all memory contents

•

When an abnormal condition occurs and all keys are inoperative.

If service should be required on this calculator, use only a SHARP

servicing dealer, SHARP approved service facility, or SHARP

repair service where available.

Hard Case

DISPLAY

•

During actual use, not all symbols are displayed at the same time.

• Certain inactive symbols may appear visible when viewed from

a far off angle.

• Only the symbols required for the usage under instruction are

shown in the display and calculation examples of this manual.

Appears when the entire equation cannot be displayed.

Press

to see the remaining (hidden) section.

xy/r

:Indicates the mode of expression of results in the com-

plex calculation mode.

:Indicates that data can be visible above/below the

screen. Press [/] to scroll up/down the view.

2ndF : Appears when @ is pressed.

HYP : Indicates that h has been pressed and the hyper-

bolic functions are enabled. If @H are pressed,

the symbols “2ndF HYP” appear, indicating that inverse

hyperbolic functions are enabled.

ALPHA :

Appears when

(STAT VAR),

is pressed.

PRINTED IN CHINA / IMPRIMÉ EN CHINE / IMPRESO EN CHINA

04CGK (TINSE0730EHZZ)

SCIENTIFIC CALCULATOR

OPERATION MANUAL

EL-520W

MODEL

1234567890.,

SHARP CORPORATION

FIX/SCI/ENG: Indicates the notation used to display a value.

DEG/RAD/GRAD: Indicates angular units.

STAT

:Appears when statistics mode is selected.

M:Indicates that a value is stored in the independent memory.

Indicates that the calculator is waiting for a numerical

value to be entered, such as during simulation calculation.

:Appears when the calculator shows an angle as the result

in the complex calculation mode.

i:Indicates an imaginary number is being displayed in the

complex calculation mode.

BEFORE USING THE CALCULATOR

Key Notation Used in this Manual

In this manual, key operations are described as follows:

To specify ex:@e

To specify ln : I

To specify F : Kü

Functions that are printed in orange above the key require @ to

be pressed first before the key. When you specify the memory,

press K first. Numbers for input value are not shown as keys,

but as ordinary numbers.

Power On and Off

Press ª to turn the calculator on, and @F to turn it off.

Clearing the Entry and Memories

Operation Entry M A-F, X, Y STAT*1

(Display) F1-F4 ANS STAT VAR*2

ª×× ×

@c ×

Mode selection ×

@∏00*3

@∏10*4

RESET switch

: Clear × : Retain

*1Statistical data (entered data).

*2x¯, sx,

x, n,

x2, ¯y, sy,

y2,

xy, r, a, b, c.

*3All variables are cleared.

*4This key combination functions the same as the RESET switch.

[Memory clear key]

Press @∏ to display the menu.

• To clear all variables (M, A-F, X, Y, ANS,

F1-F4, STAT VAR), press 00 or 0®.

• To RESET the calculator, press 10 or 1®.

The RESET operation will erase all data stored in memory, and

restore the calculator's default setting.

Entering and Correcting the Equation

[Cursor keys]

• Press < or > to move the cursor. You can also return to

the equation after getting an answer by pressing > (<).

See the next section for using the [ and ] keys.

• See ‘SET UP menu’ for cursor use in the SET UP menu.

[Insert mode and Overwrite mode in the Equation display]

• Pressing @‘ switches between the two editing modes:

insert mode (default); and overwrite mode. A triangular cursor

indicates that an entry will be inserted at the cursor, while the

rectangular cursor indicates to overwrite preexisting data as you

make entries.

• To insert a number in the insert mode, move the cursor to the

place immediately after where you wish to insert, then make a

desired entry. In the overwrite mode, data under the cursor will

be overwritten by the number you enter.

• The mode set will be retained until the next RESET operation.

[Deletion key]

• To delete a number/function, move the cursor to the number/

function you wish to delete, then press d. If the cursor is

located at the right end of an equation, the d key will function

as a back space key.

Multi-line Playback Function

Previous equations may be recalled in the normal mode. Equations

also include calculation ending instructions such as “=” and a maxi-

mum of 142 characters can be stored in memory. When the memory

is full, stored equations are deleted in the order of the oldest first.

Pressing [ will display the previous equation and the answer.

Further pressing [ will display preceding equations (after re-

turning to the previous equation, press ] to view equations in

order). In addition, @[ can be used to jump to the oldest

equation.

• To edit an equation after recalling it, press > (<).

• The multi-line memory is cleared by the following operations:

@c, @F (including the Automatic Power Off fea-

ture), mode change, memory clear (@∏), RESET, @

`, K (R) ?, constant calculation, differential/inte-

gral calculation, chain calculation, angle unit conversion, coordi-

nate conversion, N-base conversion, numerical value storage to

the temporary memories and independent memory, solver func-

tion and simulation calculation.

MEM

RESET

Priority Levels in Calculation

Operations are performed according to the following priority:

Q Fractions (1l4, etc.) W ∠, engineering prefixes E Functions

preceded by their argument (x-1, x2, n!, etc.) R Yx, x¿ T Implied

multiplication of a memory value (2Y, etc.) Y Functions followed by

their argument (sin, cos, etc.) U Implied multiplication of a function

(2sin30, etc.) I nCr, nPr O ×, ÷ P +, – { AND } OR, XOR, XNOR

q =, M+, M–, ⇒M, |DEG, |RAD, |GRAD, DATA, CD, →rθ, →xy

and other calculation ending instructions

•If parentheses are used, parenthesized calculations have prec-

edence over any other calculations.

INITIAL SET UP

Mode Selection

m0: Normal mode (NORMAL)

m1: Statistic mode (STAT)

m2: Equation mode (EQN)

m3: Complex number mode (CPLX)

SET UP menu

Press ” to display the SET UP menu.

•A menu item can be selected by:

•moving the flashing cursor by using

><, then pressing ® (= key), or

•pressing the number key corresponding to the menu item number.

•If or is displayed on the screen, press [ or ] to

view the previous/next menu screen.

•Press ª to exit the SET UP menu.

[Determination of the Angular Unit]

The following three angular units (degrees, radians, and grads) can

be specified.

•DEG (°) : Press ”00.

•RAD (rad): Press ”01.

•GRAD (g) : Press ”02.

[Selecting the Display Notation and Decimal Places]

Four display notation systems are used to display calculation re-

sults: Floating point; Fixed decimal point; Scientific notation; and

Engineering notation.

•When the FIX, SCI, or ENG symbol is displayed, the number of decimal

places (TAB) can be set to any value between 0 and 9. Displayed

values will be reduced to the corresponding number of digits.

[Setting the Floating Point Numbers System in Scientific Notation]

Two settings are used to display a floating point number: NORM1

(default setting) and NORM2. A number is automatically displayed

in scientific notation outside a preset range:

•NORM1: 0.000000001 ≤ x ≤ 9999999999

•NORM2: 0.01 ≤ x ≤ 9999999999

SCIENTIFIC CALCULATIONS

•Press m0 to select the normal mode.

•In each example, press ª to clear the display. If the FIX, SCI,

or ENG indicator is displayed, clear the indicator by selecting

‘NORM1’ from the SET UP menu.

Arithmetic Operations

•The closing parenthesis ) just before = or ; may be

omitted.

Constant Calculations

•In constant calculations, the addend becomes a constant. Sub-

traction and division are performed in the same manner. For

multiplication, the multiplicand becomes a constant.

•In the constants calculations, constants will be displayed as K.

Functions

•Refer to the calculation examples of each function.

•Before starting calculations, specify the angular unit.

Differential/Integral Functions

Differential and integral calculations are only available in the nor-

mal mode. For calculation conditions such as the x value in differ-

ential calculation or the initial point in integral calculation, only

numerical values can be entered and equations such as 22 cannot

be specified. It is possible to reuse the same equation over and

over again and to recalculate by only changing the conditions with-

out re-entering the equation.

•Performing a calculation will clear the value in the X memory.

•

When performing a differential calculation, enter the formula first and

then enter the x value in differential calculation and the minute interval

(dx). If a numerical value is not specified for minute interval,

≠0 will be



×10

–5

and

=0 will be 10

–5

from the value of the numeric derivative.

•When performing an integral calculation, enter the formula first

and then enter a range of integral (a, b) and subintervals (n). If a

numerical value is not specified for subintervals, calculation will

be performed using n=100.

Since differential and integral calculations are performed based on

the following equations, correct results may not be obtained, in

certain rare cases, when performing special calculations that con-

tain discontinuous points.

DRG

FSE

TA B

0 1

Integral calculation (Simpson’s rule):

S=—h{ƒ(a)+4{ƒ(a+h)+ƒ(a+3h)+······+ƒ(a+(N–1)h)}

+2{ƒ(a+2h)+ƒ(a+4h)+······+ƒ(a+(N–2)h)}+f(b)}

Differential calculation:

[When performing integral calculations]

Integral calculations, depending on the

integrands and subintervals included, require

longer calculation time. During calculation, “Cal-

culating!” will be displayed. To cancel calcula-

tion, press ª. Note that there will be greater

integral errors when there are large fluctua-

tions in the integral values during minute shift-

ing of the integral range and for periodic func-

tions, etc., where positive and negative inte-

gral values exist depending on the interval.

For the former case, divide integral intervals

as small as possible. For the latter case,

separate the positive and negative values.

Following these tips will allow results of calculations with greater

accuracy and will also shorten the calculation time.

Random Function

The Random function has four settings for use in the normal or

statistics mode. (This function cannot be selected while using the

N-Base function.) To generate further random numbers in succes-

sion, press ®. Press ª to exit.

•The generated pseudo-random number series is stored in memory

Y. Each random number is based on a number series.

[Random Numbers]

A pseudo-random number, with three significant digits from 0 up to

0.999, can be generated by pressing @`0®.

[Random Dice]

To simulate a die-rolling, a random integer between 1 and 6 can be

generated by pressing @`1®.

[Random Coin]

To simulate a coin flip, 0 (head) or 1 (tail) can be randomly gener-

ated by pressing @`2®.

[Random Integer]

An integer between 0 and 99 can be generated randomly by press-

ing @`3®.

Angular Unit Conversions

Each time

are pressed, the angular unit changes in sequence.

Memory Calculations

Mode ANS M, F1-F4 A-F, X, Y

NORMAL

STAT ××

EQN ×××

CPLX ×

: Available × : Unavailable

[Temporary memories (A-F, X and Y)]

Press O and a variable key to store a value in memory.

Press R and a variable key to recall a value from the memory.

To place a variable in an equation, press K and a variable key.

[Independent memory (M)]

In addition to all the features of temporary memories, a value can

be added to or subtracted from an existing memory value.

Press ªOM to clear the independent memory (M).

[Last answer memory (ANS)]

The calculation result obtained by pressing = or any other

calculation ending instruction is automatically stored in the last

answer memory.

[Formula memories (F1-F4)]

Formulas up to 256 characters in total can be stored in F1 - F4.

(Functions such as sin, etc., will be counted as one letter.) Storing

a new equation in each memory will automatically replace the

existing equation.

Note:

•Calculation results from the functions indicated below are auto-

matically stored in memories X or Y replacing existing values.

•Random function ...... Y memory

•→rθ, →xy .................... X memory (r or x), Y memory (θ or y)

•Use of R or K will recall the value stored in memory using

up to 14 digits.

Chain Calculations

•The previous calculation result can be used in the subsequent

calculation. However, it cannot be recalled after entering multiple

instructions.

•When using postfix functions (¿ , sin, etc.), a chain calculation is

possible even if the previous calculation result is cleared by the

use of the ª or @c keys.

•Variables and numerical values stored in the memories will be

displayed in the variable input screen. To change a numerical

value, input the new value and press ®.

•Performing simulation calculation will cause memory locations

to be overwritten with new values.

STATISTICAL CALCULATIONS

Press m1 to select the statistics mode. The seven statisti-

cal calculations listed below can be performed. After selecting the

statistics mode, select the desired sub-mode by pressing the number

key corresponding to your choice.

To change statistical sub-mode, reselect statistics mode (press

m1), then select the required sub-mode.

0 (SD) : Single-variable statistics

1 (LINE) : Linear regression calculation

2 (QUAD) : Quadratic regression calculation

3 (EXP) : Exponential regression calculation

4 (LOG) : Logarithmic regression calculation

5 (PWR) : Power regression calculation

6 (INV) : Inverse regression calculation

The following statistics can be obtained for each statistical calcula-

tion (refer to the table below):

Single-variable statistical calculation

Statistics of Q and value of the normal probability function

Linear regression calculation

Statistics of Q and W and, in addition, estimate of y for a given x

(estimate y´) and estimate of x for a given y (estimate x´)

Exponential regression, Logarithmic regression,

Power regression, and Inverse regression calculation

Statistics of Q and W. In addition, estimate of y for a given x and

estimate of x for a given y. (Since the calculator converts each

formula into a linear regression formula before actual calculation

takes place, it obtains all statistics, except coefficients a and b,

from converted data rather than entered data.)

Quadratic regression calculation

Statistics of Q and W and coefficients a, b, c in the quadratic

regression formula (y = a + bx + cx2). (For quadratic regression

calculations, no correlation coefficient (r) can be obtained.) When

there are two x´ values, press @≠.

When performing calculations using a, b and c, only one numeric

value can be held.

xMean of samples (x data)

sx Sample standard deviation (x data)

xPopulation standard deviation (x data)

nNumber of samples

xSum of samples (x data)

x2Sum of squares of samples (x data)

yMeans of samples (y data)

sy Sample standard deviation (y data)

yPopulation standard deviation (y data)

ySum of samples (y data)

y2Sum of squares of samples (y data)

xy Sum of products of samples (x, y)

rCorrelation coefficient

aCoefficient of regression equation

bCoefficient of regression equation

cCoefficient of quadratic regression equation

•Use K and R to perform a STAT variable calculation.

Data Entry and Correction

Entered data are kept in memory until @c or mode selec-

tion. Before entering new data, clear the memory contents.

[Data Entry]

Single-variable data

Data

frequency

(To enter multiples of the same data)

Two-variable data

Data

x &

Data

y k

Data

x &

Data

y &

frequency

k (To enter multiples

of the same data x and y.)

•Up to 100 data items can be entered. With the single-variable

data, a data item without frequency assignment is counted as

one data item, while an item assigned with frequency is stored as

a set of two data items. With the two-variable data, a set of data

items without frequency assignment is counted as two data items,

while a set of items assigned with frequency is stored as a set of

three data items.

[Data Correction]

Correction prior to pressing k immediately after a data entry:

Delete incorrect data with ª, then enter the correct data.

Correction after pressing k:

Use [] to display the data previously entered.

Press ] to display data items in ascending (oldest first)

order. To reverse the display order to descending (latest first),

press the [ key.

Each item is displayed with ‘Xn=’, ‘Yn=’, or ‘Nn=’ (n is the sequen-

tial number of the data set).

Display the data item to modify, input the correct value, then

press k. Using &, you can correct the values of the data

set all at once.

•To delete a data set, display an item of the data set to delete,

then press @J. The data set will be deleted.

•To add a new data set, press ª and input the values, then

press k.

Statistical Calculation Formulas

In the statistical calculation formulas, an error will occur when:

•The absolute value of the intermediate result or calculation result

is equal to or greater than 1 × 10100.

•The denominator is zero.

•An attempt is made to take the square root of a negative number.

•No solution exists in the quadratic regression calculation.

Normal Probability Calculations

•P(t), Q(t), and R(t) will always take positive values, even when

t<0, because these functions follow the same principle used

when solving for an area.

Values for P(t), Q(t), and R(t) are given to six decimal places.

SIMULTANEOUS LINEAR EQUATIONS

Simultaneous linear equation with two unknowns (2-VLE) or with

three unknowns (3-VLE) may be solved using this function.

Q 2-VLE: m20

W 3-VLE: m21

•If the determinant D = 0, an error occurs.

•If the absolute value of an intermediate result or calculation result

is 1 × 10100 or more, an error occurs.

•Coefficients ( a1, etc.) can be entered using ordinary arithmetic

operations.

•To clear the entered coefficients, press @c.

•Pressing ® when the determinant D is in the display recalls

the coefficients. Each time ® is pressed, a coefficient is

displayed in the order of input, allowing the entered coefficients

to be verified (by pressing @®, coefficients are displayed

in reverse order.) To correct a particular coefficient being dis-

played, enter the correct value and then press ®.

QUADRATIC AND CUBIC EQUATION SOLVERS

Quadratic (ax2 + bx + c = 0) or cubic (ax3 + bx2 + cx + d = 0) equation

may be solved using this function.

Q Quadratic equation solver: m22

W Cubic equation solver: m23

•Press ® after entering each coefficient.

•The result will be displayed by pressing ® after entering all

coefficients. When there are more than 2 results, the next solu-

tion will be displayed.

•When the result is an imaginary number, “xy” symbol will appear.

The display can be switched between imaginary and real parts

by pressing @≠.

COMPLEX NUMBER CALCULATIONS

To carry out addition, subtraction, multiplication, and division using

complex numbers, press m3 to select the complex number

mode.

Results of complex number calculations are expressed in two modes:

Q@}: Rectangular coordinate mode (xy appears.)

W@{: Polar coordinate mode (

appears.)

Complex number entry

QRectangular coordinates

x-coordinate

y-coordinate

x-coordinate

+Ü

y-coordinate

WPolar coordinates

r: absolute value θ: argument

•On selecting another mode, the imaginary part of any complex

number stored in the independent memory (M) will be cleared.

•A complex number expressed in rectangular coordinates with the

y-value equal to zero, or expressed in polar coordinates with the

angle equal to zero, is treated as a real number.

•Press ∑0 to return the complex conjugate of the speci-

fied complex number.

ERROR AND CALCULATION RANGES

Errors

An error will occur if an operation exceeds the calculation ranges,

or if a mathematically illegal operation is attempted. When an error

occurs, pressing < (or >) automatically moves the cursor

back to the place in the equation where the error occurred. Edit the

equation or press ª to clear the equation.

Fraction Calculations

Arithmetic operations and memory calculations can be performed

using fractions, and conversion between a decimal number and a

fraction.

•If the number of digits to be displayed is greater than 10, the

number is converted to and displayed as a decimal number.

Binary, Pental, Octal, Decimal, and Hexadecimal

Operations (N-Base)

Conversions can be performed between N-base numbers. The

four basic arithmetic operations, calculations with parentheses

and memory calculations can also be performed, along with the

logical operations AND, OR, NOT, NEG, XOR and XNOR on

binary, pental, octal and hexadecimal numbers.

Conversion to each system is performed by the following keys:

@ê (“” appears.), @û (“ ” appears.), @î

(“” appears.), @ì (“ ” appears.), @í (“ ”, “ ”,

“” and “ ” disappear.)

Note: The hexadecimal numbers A – F are entered by pressing

ß, ™, L, ÷, l, and I, and displayed

as follows:

A → ï, B → ∫, C → ó, D → ò, E → ô, F → ö

In the binary, pental, octal, and hexadecimal systems, fractional

parts cannot be entered. When a decimal number having a frac-

tional part is converted into a binary, pental, octal, or hexadeci-

mal number, the fractional part will be truncated. Likewise, when

the result of a binary, pental, octal, or hexadecimal calculation

includes a fractional part, the fractional part will be truncated. In

the binary, pental, octal, and hexadecimal systems, negative num-

bers are displayed as a complement.

Time, Decimal and Sexagesimal Calculations

Conversion between decimal and sexagesimal numbers can be

performed, and, while using sexagesimal numbers, conversion to

seconds and minutes notation. The four basic arithmetic opera-

tions and memory calculations can be performed using the

sexagesimal system. Notation for sexagesimal is as follows:

Coordinate Conversions

•Before performing a calculation, select the angular unit.

•The calculation result is automatically stored in memories X

and Y.

•Value of r or x: X memory •Value of θ or y: Y memory

Calculations Using Physical Constants

See the quick reference card and the English manual reverse side.

A constant is recalled by pressing ß followed by the number

of the physical constant designated by a 2-digit number.

The recalled constant appears in the display mode selected with

the designated number of decimal places.

Physical constants can be recalled in the normal mode (when not

set to binary, pental, octal, or hexadecimal), equation mode, or

statistics mode.

Note: Physical constants and metric conversions are based either

on the 2002 CODATA recommended values or 1995 Edi-

tion of the “Guide for the Use of the International System of

Units (SI)” released by NIST (National Institute of Stand-

ards and Technology) or on ISO specifications.

No. Constant

01 Speed of light in vacuum

02 Newtonian constant of

gravitation

03 Standard acceleration of

gravity

04 Electron mass

05 Proton mass

06 Neutron mass

07 Muon mass

08 Atomic mass unit-kilogram

relationship

09 Elementary charge

10 Planck constant

11 Boltzmann constant

12 Magnetic constant

13 Electric constant

14 Classical electron radius

15 Fine-structure constant

16 Bohr radius

17 Rydberg constant

18 Magnetic flux quantum

19 Bohr magneton

20 Electron magnetic moment

21 Nuclear magneton

22 Proton magnetic moment

23 Neutron magnetic moment

24 Muon magnetic moment

25 Compton wavelength

26 Proton Compton wavelength

No. Constant

27 Stefan-Boltzmann constant

28 Avogadro constant

29 Molar volume of ideal gas

(273.15 K, 101.325 kPa)

30 Molar gas constant

31 Faraday constant

32 Von Klitzing constant

33 Electron charge to mass

quotient

34 Quantum of circulation

35 Proton gyromagnetic ratio

36 Josephson constant

37 Electron volt

38 Celsius Temperature

39 Astronomical unit

40 Parsec

41 Molar mass of carbon-12

42 Planck constant over 2 pi

43 Hartree energy

44 Conductance quantum

45 Inverse fine-structure constant

46 Proton-electron mass ratio

47 Molar mass constant

48 Neutron Compton wavelength

49 First radiation constant

50 Second radiation constant

51 Characteristic impedance of

vacuum

52 Standard atmosphere

Error Codes and Error Types

Syntax error (Error 1):

•An attempt was made to perform an invalid operation.

Ex. 2 @{

Calculation error (Error 2):

•The absolute value of an intermediate or final calculation result equals

or exceeds 10100.

•An attempt was made to divide by 0 (or an intermediate calculation

resulted in zero).

•The calculation ranges were exceeded while performing calculations.

Depth error (Error 3):

•The available number of buffers was exceeded. (There are 10 buffers*

for numeric values and 24 buffers for calculation instructions).

*5 buffers in STAT mode and complex number mode.

•Data items exceeded 100 in the statistics mode.

Equation too long (Error 4):

•The equation exceeded its maximum input buffer (142 characters).

An equation must be shorter than 142 characters.

Equation recall error (Error 5):

•The stored equation contains a function not available in the mode

used to recall the equation. For example, if a numerical value with

numbers other than 0 and 1 is stored as a decimal, etc., it cannot be

recalled when the calculator is set to binary.

Memory over error (Error 6):

•Equation exceeded the formula memory buffer (256 characters in total

in F1 - F4).

Calculation Ranges

•Within the ranges specified, this calculator is accurate to ±1

of the least significant digit of the mantissa. However, a

calculation error increases in continuous calculations due

to accumulation of each calculation error. (This is the same

for yx, x¿ ,

, etc., where continuous calculations are

performed internally.)

Additionally, a calculation error will accumulate and become

larger in the vicinity of inflection points and singular points

of functions.

•Calculation ranges

±10–99 ~ ±9.999999999×1099 and 0.

If the absolute value of an entry or a final or intermediate result of a

calculation is less than 10–99, the value is considered to be 0 in

calculations and in the display.

BATTERY REPLACEMENT

Notes on Battery Replacement

Improper handling of batteries can cause electrolyte leakage or

explosion. Be sure to observe the following handling rules:

•Replace both batteries at the same time.

•Do not mix new and old batteries.

•Make sure the new batteries are the correct type.

•When installing, orient each battery properly as indicated in the

calculator.

•Batteries are factory-installed before shipment, and may be ex-

hausted before they reach the service life stated in the specifica-

tions.

Notes on erasure of memory contents

When the battery is replaced, the memory contents are erased.

Erasure can also occur if the calculator is defective or when it is

repaired. Make a note of all important memory contents in case

accidental erasure occurs.

When to Replace the Batteries

If the display has poor contrast or nothing appears on the display

even when ª is pressed in dim lighting, it is time to replace the

batteries.

Cautions

•Fluid from a leaking battery accidentally entering an eye could

result in serious injury. Should this occur, wash with clean water

and immediately consult a doctor.

•Should fluid from a leaking battery come in contact with your skin

or clothes, immediately wash with clean water.

•If the product is not to be used for some time, to avoid damage to

the unit from leaking batteries, remove them and store in a safe

place.

•Do not leave exhausted batteries inside the product.

•Do not fit partially used batteries, and be sure not to mix batteries

of different types.

•Keep batteries out of the reach of children.

•Exhausted batteries left in the calculator may leak and damage

the calculator.

•Explosion risk may be caused by incorrect handling.

•Do not throw batteries into a fire as they may explode.

Replacement Procedure

1. Turn the power off by pressing @ F.

2. Remove the two screws. (Fig. 1)

3. Slide the battery cover slightly and lift it to remove.

4. Remove the used batteries by prying them out with a ball-point

pen or other similar pointed device. (Fig. 2)

5. Install two new batteries. Make sure the “+” side is facing up.

6. Replace the cover and screws.

7. Press the RESET switch (on the back).

•Make sure that the display appears as shown below. If the

display does not appear as shown, remove the batteries, rein-

stall them and check the display once again.

Automatic Power Off Function

This calculator will turn itself off to save battery power if no key is

pressed for approximately 10 minutes.

SPECIFICATIONS

Calculations: Scientific calculations, complex number

calculations, equation solvers, statistical

calculations, etc.

Internal calculations: Mantissas of up to 14 digits

Pending operations: 24 calculations 10 numeric values

(5 numeric values in STAT and complex

number mode)

Power source: Built-in solar cells

3 V ¶ (DC):

Backup batteries

(Alkaline batteries (LR44) × 2)

Operating temperature: 0°C – 40°C (32°F – 104°F)

External dimensions:

79.6 mm (W) × 154.5 mm (D) × 13.2 mm (H)

3-1/8” (W) × 6-3/32” (D) × 17/32” (H)

Weight: Approx. 97 g (0.22 lb)

(Including batteries)

Accessories: Batteries × 2 (installed), operation

manual, quick reference card and hard

case

FOR MORE INFORMATION ABOUT

SCIENTIFIC CALCULATOR

Visit our Web site.

http://sharp-world.com/calculator/

degree second

minute

↔

P (x,y )

P (r,

)

Rectangular coord. Polar coord.

Type Regression formula

Linear y = a + bx

Exponential y = a • ebx

Logarithmic y = a + b • ln x

Power y = a • xb

Inverse y = a + b —

Quadratic y = a + bx + cx2

(Fig. 1) (Fig. 2)

Exponent

Equation→

Display

Mantissa

←Symbol

f(x+––)–f(x–––)

f’(x)=————————

N=2n













h=b–a

a≤x≤b

3——

No. Remarks

1 in : inch

2 cm : centimeter

3 ft : foot

4 m : meter

5 yd : yard

6 m : meter

7 mile : mile

8 km : kilometer

9 n mile : nautical mile

10 m : meter

11 acre : acre

12 m2: square meter

13 oz : ounce

14 g : gram

15 lb : pound

16 kg : kilogram

17 °F : Degree Fahrenheit

18 °C : Degree Celsius

19 gal (US) : gallon (US)

20 l: liter

21 gal (UK) : gallon (UK)

22 l: liter

No. Remarks

23 fl oz(US): fluid ounce(US)

24 ml: milliliter

25 fl oz(UK): fluid ounce(UK)

26 ml: milliliter

27 J : Joule

28 cal : calorie

29 J : Joule

30 cal15 : Calorie (15n°C)

31 J : Joule

32 calIT : I.T. calorie

33 hp : horsepower

34 W : watt

35 ps : French horsepower

36 W : watt

38 Pa : Pascal

39 atm : atmosphere

40 Pa : Pascal

41 (1 mmHg = 1 Torr)

42 Pa : Pascal

44 J : Joule

Prefix Operation Unit

k (kilo) ∑10 103

M (Mega) ∑11 106

G (Giga) ∑12 109

T (Tera) ∑13 1012

m (milli) ∑14 10–3

µ (micro) ∑15 10–6

n (nano) ∑16 10–9

p (pico) ∑17 10–12

f (femto) ∑18 10–15

EL-520W (TINSExxxxEHZZ)_ENGLISH_1

Metric Conversions

See the quick reference card and the English manual reverse side.

Unit conversions can be performed in the normal mode (when not

set to binary, pental, octal, or hexadecimal), equation mode and

statistics modes.

Calculations Using Engineering Prefixes

Calculation can be executed in the normal mode (excluding N-

base) using the following 9 types of prefixes.

Modify Function

Calculation results are internally obtained in scientific notation

with up to 14 digits for the mantissa. However, since calculation

results are displayed in the form designated by the display nota-

tion and the number of decimal places indicated, the internal

calculation result may differ from that shown in the display. By

using the modify function, the internal value is converted to match

that of the display, so that the displayed value can be used

without change in subsequent operations.

Solver Function

The x value can be found that reduces an entered equation to “0”.

• This function uses Newton’s method to obtain an approxima-

tion. Depending on the function (e.g. periodic) or ‘Start’ value,

an error may occur (Error 2) due to there being no convergence

to the solution for the equation.

• The value obtained by this function may include a margin of

error. If it is larger than acceptable, recalculate the solution

after changing ‘Start’ and dx values.

• Change the ‘Start’ value (e.g. to a negative value) or dx value

(e.g. to a smaller value) if:

• no solution can be found (Error 2).

• more than two solutions appear to be possible (e.g. a cubic

equation).

• to improve the arithmetic precision.

• The calculation result is automatically stored in the X memory.

[Performing Solver function]

Q Press m0.

W Input a formula with an x variable.

E Press ∑0.

R Input ‘Start’ value and press ®. The default value is “0”.

T Input dx value (minute interval).

Y Press ®.

SIMULATION CALCULATION (ALGB)

If you have to find a value consecutively using the same formula,

such as plotting a curve line for 2x2 + 1, or finding the variable for

2x + 2y =14, once you enter the equation, all you have to do is to

specify the value for the variable in the formula.

Usable variables: A-F, M, X and Y

Unusable functions: Random function

• Simulation calculations can only be executed in the normal

mode.

•

Calculation ending instructions other than

cannot be used.

Performing Calculations

QPress m0.

WInput a formula with at least one variable.

EPress @≤.

RVariable input screen will appear. Input the value of the flashing

variable, then press ® to confirm. The calculation result will

be displayed after entering the value for all used variables.

• Only numerical values are allowed as variables. Input of

formulas is not permitted.

• Upon completing the calculation, press @≤ to per-

form calculations using the same formula.

ENGLISH

INTRODUCTION

Thank you for purchasing the SHARP Scientific Calculator Model

EL-520W.

About the calculation examples (including some formulas and

tables), refer to the reverse side of this English manual. Refer to

the number on the right of each title in the manual for use.

After reading this manual, store it in a convenient location for

future reference.

Operational Notes

• Do not carry the calculator around in your back pocket, as it

may break when you sit down. The display is made of glass

and is particularly fragile.

• Keep the calculator away from extreme heat such as on a car

dashboard or near a heater, and avoid exposing it to exces-

sively humid or dusty environments.

• Since this product is not waterproof, do not use it or store it

where fluids, for example water, can splash onto it. Raindrops,

water spray, juice, coffee, steam, perspiration, etc. will also

cause malfunction.

• Clean with a soft, dry cloth. Do not use solvents or a wet cloth.

• Do not drop it or apply excessive force.

• Never dispose of batteries in a fire.

• Keep batteries out of the reach of children.

• This product, including accessories, may change due to up-

grading without prior notice.

NOTICE

• SHARP strongly recommends that separate permanent

written records be kept of all important data. Data may be

lost or altered in virtually any electronic memory product

under certain circumstances. Therefore, SHARP assumes

no responsibility for data lost or otherwise rendered unusable

whether as a result of improper use, repairs, defects, battery

replacement, use after the specified battery life has expired,

or any other cause.

• SHARP will not be liable nor responsible for any incidental or

consequential economic or property damage caused by

misuse and/or malfunctions of this product and its peripherals,

unless such liability is acknowledged by law.

♦Press the RESET switch (on the back), with the tip of a ball-

point pen or similar object, only in the following cases. Do not

use an object with a breakable or sharp tip. Note that pressing

the RESET switch erases all data stored in memory.

• When using for the first time

• After replacing the batteries

• To clear all memory contents

•

When an abnormal condition occurs and all keys are inoperative.

If service should be required on this calculator, use only a SHARP

servicing dealer, SHARP approved service facility, or SHARP

repair service where available.

Hard Case

DISPLAY

•

During actual use, not all symbols are displayed at the same time.

• Certain inactive symbols may appear visible when viewed from

a far off angle.

• Only the symbols required for the usage under instruction are

shown in the display and calculation examples of this manual.

Appears when the entire equation cannot be displayed.

Press

to see the remaining (hidden) section.

xy/r

:Indicates the mode of expression of results in the com-

plex calculation mode.

:Indicates that data can be visible above/below the

screen. Press [/] to scroll up/down the view.

2ndF : Appears when @ is pressed.

HYP : Indicates that h has been pressed and the hyper-

bolic functions are enabled. If @H are pressed,

the symbols “2ndF HYP” appear, indicating that inverse

hyperbolic functions are enabled.

ALPHA :

Appears when

(STAT VAR),

is pressed.

PRINTED IN CHINA / IMPRIMÉ EN CHINE / IMPRESO EN CHINA

04CGK (TINSE0730EHZZ)

SCIENTIFIC CALCULATOR

OPERATION MANUAL

EL-520W

MODEL

1234567890.,

SHARP CORPORATION

FIX/SCI/ENG: Indicates the notation used to display a value.

DEG/RAD/GRAD: Indicates angular units.

STAT

:Appears when statistics mode is selected.

M:Indicates that a value is stored in the independent memory.

Indicates that the calculator is waiting for a numerical

value to be entered, such as during simulation calculation.

:Appears when the calculator shows an angle as the result

in the complex calculation mode.

i:Indicates an imaginary number is being displayed in the

complex calculation mode.

BEFORE USING THE CALCULATOR

Key Notation Used in this Manual

In this manual, key operations are described as follows:

To specify ex:@e

To specify ln : I

To specify F : Kü

Functions that are printed in orange above the key require @ to

be pressed first before the key. When you specify the memory,

press K first. Numbers for input value are not shown as keys,

but as ordinary numbers.

Power On and Off

Press ª to turn the calculator on, and @F to turn it off.

Clearing the Entry and Memories

Operation Entry M A-F, X, Y STAT*1

(Display) F1-F4 ANS STAT VAR*2

ª×× ×

@c ×

Mode selection ×

@∏00*3

@∏10*4

RESET switch

: Clear × : Retain

*1Statistical data (entered data).

*2x¯, sx,

x, n,

x2, ¯y, sy,

y2,

xy, r, a, b, c.

*3All variables are cleared.

*4This key combination functions the same as the RESET switch.

[Memory clear key]

Press @∏ to display the menu.

• To clear all variables (M, A-F, X, Y, ANS,

F1-F4, STAT VAR), press 00 or 0®.

• To RESET the calculator, press 10 or 1®.

The RESET operation will erase all data stored in memory, and

restore the calculator's default setting.

Entering and Correcting the Equation

[Cursor keys]

• Press < or > to move the cursor. You can also return to

the equation after getting an answer by pressing > (<).

See the next section for using the [ and ] keys.

• See ‘SET UP menu’ for cursor use in the SET UP menu.

[Insert mode and Overwrite mode in the Equation display]

• Pressing @‘ switches between the two editing modes:

insert mode (default); and overwrite mode. A triangular cursor

indicates that an entry will be inserted at the cursor, while the

rectangular cursor indicates to overwrite preexisting data as you

make entries.

• To insert a number in the insert mode, move the cursor to the

place immediately after where you wish to insert, then make a

desired entry. In the overwrite mode, data under the cursor will

be overwritten by the number you enter.

• The mode set will be retained until the next RESET operation.

[Deletion key]

• To delete a number/function, move the cursor to the number/

function you wish to delete, then press d. If the cursor is

located at the right end of an equation, the d key will function

as a back space key.

Multi-line Playback Function

Previous equations may be recalled in the normal mode. Equations

also include calculation ending instructions such as “=” and a maxi-

mum of 142 characters can be stored in memory. When the memory

is full, stored equations are deleted in the order of the oldest first.

Pressing [ will display the previous equation and the answer.

Further pressing [ will display preceding equations (after re-

turning to the previous equation, press ] to view equations in

order). In addition, @[ can be used to jump to the oldest

equation.

• To edit an equation after recalling it, press > (<).

• The multi-line memory is cleared by the following operations:

@c, @F (including the Automatic Power Off fea-

ture), mode change, memory clear (@∏), RESET, @

`, K (R) ?, constant calculation, differential/inte-

gral calculation, chain calculation, angle unit conversion, coordi-

nate conversion, N-base conversion, numerical value storage to

the temporary memories and independent memory, solver func-

tion and simulation calculation.

MEM

RESET

Priority Levels in Calculation

Operations are performed according to the following priority:

Q Fractions (1l4, etc.) W ∠, engineering prefixes E Functions

preceded by their argument (x-1, x2, n!, etc.) R Yx, x¿ T Implied

multiplication of a memory value (2Y, etc.) Y Functions followed by

their argument (sin, cos, etc.) U Implied multiplication of a function

(2sin30, etc.) I nCr, nPr O ×, ÷ P +, – { AND } OR, XOR, XNOR

q =, M+, M–, ⇒M, |DEG, |RAD, |GRAD, DATA, CD, →rθ, →xy

and other calculation ending instructions

•If parentheses are used, parenthesized calculations have prec-

edence over any other calculations.

INITIAL SET UP

Mode Selection

m0: Normal mode (NORMAL)

m1: Statistic mode (STAT)

m2: Equation mode (EQN)

m3: Complex number mode (CPLX)

SET UP menu

Press ” to display the SET UP menu.

•A menu item can be selected by:

•moving the flashing cursor by using

><, then pressing ® (= key), or

•pressing the number key corresponding to the menu item number.

•If or is displayed on the screen, press [ or ] to

view the previous/next menu screen.

•Press ª to exit the SET UP menu.

[Determination of the Angular Unit]

The following three angular units (degrees, radians, and grads) can

be specified.

•DEG (°) : Press ”00.

•RAD (rad): Press ”01.

•GRAD (g) : Press ”02.

[Selecting the Display Notation and Decimal Places]

Four display notation systems are used to display calculation re-

sults: Floating point; Fixed decimal point; Scientific notation; and

Engineering notation.

•When the FIX, SCI, or ENG symbol is displayed, the number of decimal

places (TAB) can be set to any value between 0 and 9. Displayed

values will be reduced to the corresponding number of digits.

[Setting the Floating Point Numbers System in Scientific Notation]

Two settings are used to display a floating point number: NORM1

(default setting) and NORM2. A number is automatically displayed

in scientific notation outside a preset range:

•NORM1: 0.000000001 ≤ x ≤ 9999999999

•NORM2: 0.01 ≤ x ≤ 9999999999

SCIENTIFIC CALCULATIONS

•Press m0 to select the normal mode.

•In each example, press ª to clear the display. If the FIX, SCI,

or ENG indicator is displayed, clear the indicator by selecting

‘NORM1’ from the SET UP menu.

Arithmetic Operations

•The closing parenthesis ) just before = or ; may be

omitted.

Constant Calculations

•In constant calculations, the addend becomes a constant. Sub-

traction and division are performed in the same manner. For

multiplication, the multiplicand becomes a constant.

•In the constants calculations, constants will be displayed as K.

Functions

•Refer to the calculation examples of each function.

•Before starting calculations, specify the angular unit.

Differential/Integral Functions

Differential and integral calculations are only available in the nor-

mal mode. For calculation conditions such as the x value in differ-

ential calculation or the initial point in integral calculation, only

numerical values can be entered and equations such as 22 cannot

be specified. It is possible to reuse the same equation over and

over again and to recalculate by only changing the conditions with-

out re-entering the equation.

•Performing a calculation will clear the value in the X memory.

•

When performing a differential calculation, enter the formula first and

then enter the x value in differential calculation and the minute interval

(dx). If a numerical value is not specified for minute interval,

≠0 will be



×10

–5

and

=0 will be 10

–5

from the value of the numeric derivative.

•When performing an integral calculation, enter the formula first

and then enter a range of integral (a, b) and subintervals (n). If a

numerical value is not specified for subintervals, calculation will

be performed using n=100.

Since differential and integral calculations are performed based on

the following equations, correct results may not be obtained, in

certain rare cases, when performing special calculations that con-

tain discontinuous points.

DRG

FSE

TA B

0 1

Integral calculation (Simpson’s rule):

S=—h{ƒ(a)+4{ƒ(a+h)+ƒ(a+3h)+······+ƒ(a+(N–1)h)}

+2{ƒ(a+2h)+ƒ(a+4h)+······+ƒ(a+(N–2)h)}+f(b)}

Differential calculation:

[When performing integral calculations]

Integral calculations, depending on the

integrands and subintervals included, require

longer calculation time. During calculation, “Cal-

culating!” will be displayed. To cancel calcula-

tion, press ª. Note that there will be greater

integral errors when there are large fluctua-

tions in the integral values during minute shift-

ing of the integral range and for periodic func-

tions, etc., where positive and negative inte-

gral values exist depending on the interval.

For the former case, divide integral intervals

as small as possible. For the latter case,

separate the positive and negative values.

Following these tips will allow results of calculations with greater

accuracy and will also shorten the calculation time.

Random Function

The Random function has four settings for use in the normal or

statistics mode. (This function cannot be selected while using the

N-Base function.) To generate further random numbers in succes-

sion, press ®. Press ª to exit.

•The generated pseudo-random number series is stored in memory

Y. Each random number is based on a number series.

[Random Numbers]

A pseudo-random number, with three significant digits from 0 up to

0.999, can be generated by pressing @`0®.

[Random Dice]

To simulate a die-rolling, a random integer between 1 and 6 can be

generated by pressing @`1®.

[Random Coin]

To simulate a coin flip, 0 (head) or 1 (tail) can be randomly gener-

ated by pressing @`2®.

[Random Integer]

An integer between 0 and 99 can be generated randomly by press-

ing @`3®.

Angular Unit Conversions

Each time

are pressed, the angular unit changes in sequence.

Memory Calculations

Mode ANS M, F1-F4 A-F, X, Y

NORMAL

STAT ××

EQN ×××

CPLX ×

: Available × : Unavailable

[Temporary memories (A-F, X and Y)]

Press O and a variable key to store a value in memory.

Press R and a variable key to recall a value from the memory.

To place a variable in an equation, press K and a variable key.

[Independent memory (M)]

In addition to all the features of temporary memories, a value can

be added to or subtracted from an existing memory value.

Press ªOM to clear the independent memory (M).

[Last answer memory (ANS)]

The calculation result obtained by pressing = or any other

calculation ending instruction is automatically stored in the last

answer memory.

[Formula memories (F1-F4)]

Formulas up to 256 characters in total can be stored in F1 - F4.

(Functions such as sin, etc., will be counted as one letter.) Storing

a new equation in each memory will automatically replace the

existing equation.

Note:

•Calculation results from the functions indicated below are auto-

matically stored in memories X or Y replacing existing values.

•Random function ...... Y memory

•→rθ, →xy .................... X memory (r or x), Y memory (θ or y)

•Use of R or K will recall the value stored in memory using

up to 14 digits.

Chain Calculations

•The previous calculation result can be used in the subsequent

calculation. However, it cannot be recalled after entering multiple

instructions.

•When using postfix functions (¿ , sin, etc.), a chain calculation is

possible even if the previous calculation result is cleared by the

use of the ª or @c keys.

•Variables and numerical values stored in the memories will be

displayed in the variable input screen. To change a numerical

value, input the new value and press ®.

•Performing simulation calculation will cause memory locations

to be overwritten with new values.

STATISTICAL CALCULATIONS

Press m1 to select the statistics mode. The seven statisti-

cal calculations listed below can be performed. After selecting the

statistics mode, select the desired sub-mode by pressing the number

key corresponding to your choice.

To change statistical sub-mode, reselect statistics mode (press

m1), then select the required sub-mode.

0 (SD) : Single-variable statistics

1 (LINE) : Linear regression calculation

2 (QUAD) : Quadratic regression calculation

3 (EXP) : Exponential regression calculation

4 (LOG) : Logarithmic regression calculation

5 (PWR) : Power regression calculation

6 (INV) : Inverse regression calculation

The following statistics can be obtained for each statistical calcula-

tion (refer to the table below):

Single-variable statistical calculation

Statistics of Q and value of the normal probability function

Linear regression calculation

Statistics of Q and W and, in addition, estimate of y for a given x

(estimate y´) and estimate of x for a given y (estimate x´)

Exponential regression, Logarithmic regression,

Power regression, and Inverse regression calculation

Statistics of Q and W. In addition, estimate of y for a given x and

estimate of x for a given y. (Since the calculator converts each

formula into a linear regression formula before actual calculation

takes place, it obtains all statistics, except coefficients a and b,

from converted data rather than entered data.)

Quadratic regression calculation

Statistics of Q and W and coefficients a, b, c in the quadratic

regression formula (y = a + bx + cx2). (For quadratic regression

calculations, no correlation coefficient (r) can be obtained.) When

there are two x´ values, press @≠.

When performing calculations using a, b and c, only one numeric

value can be held.

xMean of samples (x data)

sx Sample standard deviation (x data)

xPopulation standard deviation (x data)

nNumber of samples

xSum of samples (x data)

x2Sum of squares of samples (x data)

yMeans of samples (y data)

sy Sample standard deviation (y data)

yPopulation standard deviation (y data)

ySum of samples (y data)

y2Sum of squares of samples (y data)

xy Sum of products of samples (x, y)

rCorrelation coefficient

aCoefficient of regression equation

bCoefficient of regression equation

cCoefficient of quadratic regression equation

•Use K and R to perform a STAT variable calculation.

Data Entry and Correction

Entered data are kept in memory until @c or mode selec-

tion. Before entering new data, clear the memory contents.

[Data Entry]

Single-variable data

Data

frequency

(To enter multiples of the same data)

Two-variable data

Data

x &

Data

y k

Data

x &

Data

y &

frequency

k (To enter multiples

of the same data x and y.)

•Up to 100 data items can be entered. With the single-variable

data, a data item without frequency assignment is counted as

one data item, while an item assigned with frequency is stored as

a set of two data items. With the two-variable data, a set of data

items without frequency assignment is counted as two data items,

while a set of items assigned with frequency is stored as a set of

three data items.

[Data Correction]

Correction prior to pressing k immediately after a data entry:

Delete incorrect data with ª, then enter the correct data.

Correction after pressing k:

Use [] to display the data previously entered.

Press ] to display data items in ascending (oldest first)

order. To reverse the display order to descending (latest first),

press the [ key.

Each item is displayed with ‘Xn=’, ‘Yn=’, or ‘Nn=’ (n is the sequen-

tial number of the data set).

Display the data item to modify, input the correct value, then

press k. Using &, you can correct the values of the data

set all at once.

•To delete a data set, display an item of the data set to delete,

then press @J. The data set will be deleted.

•To add a new data set, press ª and input the values, then

press k.

Statistical Calculation Formulas

In the statistical calculation formulas, an error will occur when:

•The absolute value of the intermediate result or calculation result

is equal to or greater than 1 × 10100.

•The denominator is zero.

•An attempt is made to take the square root of a negative number.

•No solution exists in the quadratic regression calculation.

Normal Probability Calculations

•P(t), Q(t), and R(t) will always take positive values, even when

t<0, because these functions follow the same principle used

when solving for an area.

Values for P(t), Q(t), and R(t) are given to six decimal places.

SIMULTANEOUS LINEAR EQUATIONS

Simultaneous linear equation with two unknowns (2-VLE) or with

three unknowns (3-VLE) may be solved using this function.

Q 2-VLE: m20

W 3-VLE: m21

•If the determinant D = 0, an error occurs.

•If the absolute value of an intermediate result or calculation result

is 1 × 10100 or more, an error occurs.

•Coefficients ( a1, etc.) can be entered using ordinary arithmetic

operations.

•To clear the entered coefficients, press @c.

•Pressing ® when the determinant D is in the display recalls

the coefficients. Each time ® is pressed, a coefficient is

displayed in the order of input, allowing the entered coefficients

to be verified (by pressing @®, coefficients are displayed

in reverse order.) To correct a particular coefficient being dis-

played, enter the correct value and then press ®.

QUADRATIC AND CUBIC EQUATION SOLVERS

Quadratic (ax2 + bx + c = 0) or cubic (ax3 + bx2 + cx + d = 0) equation

may be solved using this function.

Q Quadratic equation solver: m22

W Cubic equation solver: m23

•Press ® after entering each coefficient.

•The result will be displayed by pressing ® after entering all

coefficients. When there are more than 2 results, the next solu-

tion will be displayed.

•When the result is an imaginary number, “xy” symbol will appear.

The display can be switched between imaginary and real parts

by pressing @≠.

COMPLEX NUMBER CALCULATIONS

To carry out addition, subtraction, multiplication, and division using

complex numbers, press m3 to select the complex number

mode.

Results of complex number calculations are expressed in two modes:

Q@}: Rectangular coordinate mode (xy appears.)

W@{: Polar coordinate mode (

appears.)

Complex number entry

QRectangular coordinates

x-coordinate

y-coordinate

x-coordinate

+Ü

y-coordinate

WPolar coordinates

r: absolute value θ: argument

•On selecting another mode, the imaginary part of any complex

number stored in the independent memory (M) will be cleared.

•A complex number expressed in rectangular coordinates with the

y-value equal to zero, or expressed in polar coordinates with the

angle equal to zero, is treated as a real number.

•Press ∑0 to return the complex conjugate of the speci-

fied complex number.

ERROR AND CALCULATION RANGES

Errors

An error will occur if an operation exceeds the calculation ranges,

or if a mathematically illegal operation is attempted. When an error

occurs, pressing < (or >) automatically moves the cursor

back to the place in the equation where the error occurred. Edit the

equation or press ª to clear the equation.

Fraction Calculations

Arithmetic operations and memory calculations can be performed

using fractions, and conversion between a decimal number and a

fraction.

•If the number of digits to be displayed is greater than 10, the

number is converted to and displayed as a decimal number.

Binary, Pental, Octal, Decimal, and Hexadecimal

Operations (N-Base)

Conversions can be performed between N-base numbers. The

four basic arithmetic operations, calculations with parentheses

and memory calculations can also be performed, along with the

logical operations AND, OR, NOT, NEG, XOR and XNOR on

binary, pental, octal and hexadecimal numbers.

Conversion to each system is performed by the following keys:

@ê (“” appears.), @û (“ ” appears.), @î

(“” appears.), @ì (“ ” appears.), @í (“ ”, “ ”,

“” and “ ” disappear.)

Note: The hexadecimal numbers A – F are entered by pressing

ß, ™, L, ÷, l, and I, and displayed

as follows:

A → ï, B → ∫, C → ó, D → ò, E → ô, F → ö

In the binary, pental, octal, and hexadecimal systems, fractional

parts cannot be entered. When a decimal number having a frac-

tional part is converted into a binary, pental, octal, or hexadeci-

mal number, the fractional part will be truncated. Likewise, when

the result of a binary, pental, octal, or hexadecimal calculation

includes a fractional part, the fractional part will be truncated. In

the binary, pental, octal, and hexadecimal systems, negative num-

bers are displayed as a complement.

Time, Decimal and Sexagesimal Calculations

Conversion between decimal and sexagesimal numbers can be

performed, and, while using sexagesimal numbers, conversion to

seconds and minutes notation. The four basic arithmetic opera-

tions and memory calculations can be performed using the

sexagesimal system. Notation for sexagesimal is as follows:

Coordinate Conversions

•Before performing a calculation, select the angular unit.

•The calculation result is automatically stored in memories X

and Y.

•Value of r or x: X memory •Value of θ or y: Y memory

Calculations Using Physical Constants

See the quick reference card and the English manual reverse side.

A constant is recalled by pressing ß followed by the number

of the physical constant designated by a 2-digit number.

The recalled constant appears in the display mode selected with

the designated number of decimal places.

Physical constants can be recalled in the normal mode (when not

set to binary, pental, octal, or hexadecimal), equation mode, or

statistics mode.

Note: Physical constants and metric conversions are based either

on the 2002 CODATA recommended values or 1995 Edi-

tion of the “Guide for the Use of the International System of

Units (SI)” released by NIST (National Institute of Stand-

ards and Technology) or on ISO specifications.

No. Constant

01 Speed of light in vacuum

02 Newtonian constant of

gravitation

03 Standard acceleration of

gravity

04 Electron mass

05 Proton mass

06 Neutron mass

07 Muon mass

08 Atomic mass unit-kilogram

relationship

09 Elementary charge

10 Planck constant

11 Boltzmann constant

12 Magnetic constant

13 Electric constant

14 Classical electron radius

15 Fine-structure constant

16 Bohr radius

17 Rydberg constant

18 Magnetic flux quantum

19 Bohr magneton

20 Electron magnetic moment

21 Nuclear magneton

22 Proton magnetic moment

23 Neutron magnetic moment

24 Muon magnetic moment

25 Compton wavelength

26 Proton Compton wavelength

No. Constant

27 Stefan-Boltzmann constant

28 Avogadro constant

29 Molar volume of ideal gas

(273.15 K, 101.325 kPa)

30 Molar gas constant

31 Faraday constant

32 Von Klitzing constant

33 Electron charge to mass

quotient

34 Quantum of circulation

35 Proton gyromagnetic ratio

36 Josephson constant

37 Electron volt

38 Celsius Temperature

39 Astronomical unit

40 Parsec

41 Molar mass of carbon-12

42 Planck constant over 2 pi

43 Hartree energy

44 Conductance quantum

45 Inverse fine-structure constant

46 Proton-electron mass ratio

47 Molar mass constant

48 Neutron Compton wavelength

49 First radiation constant

50 Second radiation constant

51 Characteristic impedance of

vacuum

52 Standard atmosphere

Error Codes and Error Types

Syntax error (Error 1):

•An attempt was made to perform an invalid operation.

Ex. 2 @{

Calculation error (Error 2):

•The absolute value of an intermediate or final calculation result equals

or exceeds 10100.

•An attempt was made to divide by 0 (or an intermediate calculation

resulted in zero).

•The calculation ranges were exceeded while performing calculations.

Depth error (Error 3):

•The available number of buffers was exceeded. (There are 10 buffers*

for numeric values and 24 buffers for calculation instructions).

*5 buffers in STAT mode and complex number mode.

•Data items exceeded 100 in the statistics mode.

Equation too long (Error 4):

•The equation exceeded its maximum input buffer (142 characters).

An equation must be shorter than 142 characters.

Equation recall error (Error 5):

•The stored equation contains a function not available in the mode

used to recall the equation. For example, if a numerical value with

numbers other than 0 and 1 is stored as a decimal, etc., it cannot be

recalled when the calculator is set to binary.

Memory over error (Error 6):

•Equation exceeded the formula memory buffer (256 characters in total

in F1 - F4).

Calculation Ranges

•Within the ranges specified, this calculator is accurate to ±1

of the least significant digit of the mantissa. However, a

calculation error increases in continuous calculations due

to accumulation of each calculation error. (This is the same

for yx, x¿ ,

, etc., where continuous calculations are

performed internally.)

Additionally, a calculation error will accumulate and become

larger in the vicinity of inflection points and singular points

of functions.

•Calculation ranges

±10–99 ~ ±9.999999999×1099 and 0.

If the absolute value of an entry or a final or intermediate result of a

calculation is less than 10–99, the value is considered to be 0 in

calculations and in the display.

BATTERY REPLACEMENT

Notes on Battery Replacement

Improper handling of batteries can cause electrolyte leakage or

explosion. Be sure to observe the following handling rules:

•Replace both batteries at the same time.

•Do not mix new and old batteries.

•Make sure the new batteries are the correct type.

•When installing, orient each battery properly as indicated in the

calculator.

•Batteries are factory-installed before shipment, and may be ex-

hausted before they reach the service life stated in the specifica-

tions.

Notes on erasure of memory contents

When the battery is replaced, the memory contents are erased.

Erasure can also occur if the calculator is defective or when it is

repaired. Make a note of all important memory contents in case

accidental erasure occurs.

When to Replace the Batteries

If the display has poor contrast or nothing appears on the display

even when ª is pressed in dim lighting, it is time to replace the

batteries.

Cautions

•Fluid from a leaking battery accidentally entering an eye could

result in serious injury. Should this occur, wash with clean water

and immediately consult a doctor.

•Should fluid from a leaking battery come in contact with your skin

or clothes, immediately wash with clean water.

•If the product is not to be used for some time, to avoid damage to

the unit from leaking batteries, remove them and store in a safe

place.

•Do not leave exhausted batteries inside the product.

•Do not fit partially used batteries, and be sure not to mix batteries

of different types.

•Keep batteries out of the reach of children.

•Exhausted batteries left in the calculator may leak and damage

the calculator.

•Explosion risk may be caused by incorrect handling.

•Do not throw batteries into a fire as they may explode.

Replacement Procedure

1. Turn the power off by pressing @ F.

2. Remove the two screws. (Fig. 1)

3. Slide the battery cover slightly and lift it to remove.

4. Remove the used batteries by prying them out with a ball-point

pen or other similar pointed device. (Fig. 2)

5. Install two new batteries. Make sure the “+” side is facing up.

6. Replace the cover and screws.

7. Press the RESET switch (on the back).

•Make sure that the display appears as shown below. If the

display does not appear as shown, remove the batteries, rein-

stall them and check the display once again.

Automatic Power Off Function

This calculator will turn itself off to save battery power if no key is

pressed for approximately 10 minutes.

SPECIFICATIONS

Calculations: Scientific calculations, complex number

calculations, equation solvers, statistical

calculations, etc.

Internal calculations: Mantissas of up to 14 digits

Pending operations: 24 calculations 10 numeric values

(5 numeric values in STAT and complex

number mode)

Power source: Built-in solar cells

3 V ¶ (DC):

Backup batteries

(Alkaline batteries (LR44) × 2)

Operating temperature: 0°C – 40°C (32°F – 104°F)

External dimensions:

79.6 mm (W) × 154.5 mm (D) × 13.2 mm (H)

3-1/8” (W) × 6-3/32” (D) × 17/32” (H)

Weight: Approx. 97 g (0.22 lb)

(Including batteries)

Accessories: Batteries × 2 (installed), operation

manual, quick reference card and hard

case

FOR MORE INFORMATION ABOUT

SCIENTIFIC CALCULATOR

Visit our Web site.

http://sharp-world.com/calculator/

degree second

minute

↔

P (x,y )

P (r,

)

Rectangular coord. Polar coord.

Type Regression formula

Linear y = a + bx

Exponential y = a • ebx

Logarithmic y = a + b • ln x

Power y = a • xb

Inverse y = a + b —

Quadratic y = a + bx + cx2

(Fig. 1) (Fig. 2)

Exponent

Equation→

Display

Mantissa

←Symbol

f(x+––)–f(x–––)

f’(x)=————————

N=2n













h=b–a

a≤x≤b

3——

No. Remarks

1 in : inch

2 cm : centimeter

3 ft : foot

4 m : meter

5 yd : yard

6 m : meter

7 mile : mile

8 km : kilometer

9 n mile : nautical mile

10 m : meter

11 acre : acre

12 m2: square meter

13 oz : ounce

14 g : gram

15 lb : pound

16 kg : kilogram

17 °F : Degree Fahrenheit

18 °C : Degree Celsius

19 gal (US) : gallon (US)

20 l: liter

21 gal (UK) : gallon (UK)

22 l: liter

No. Remarks

23 fl oz(US): fluid ounce(US)

24 ml: milliliter

25 fl oz(UK): fluid ounce(UK)

26 ml: milliliter

27 J : Joule

28 cal : calorie

29 J : Joule

30 cal15 : Calorie (15n°C)

31 J : Joule

32 calIT : I.T. calorie

33 hp : horsepower

34 W : watt

35 ps : French horsepower

36 W : watt

38 Pa : Pascal

39 atm : atmosphere

40 Pa : Pascal

41 (1 mmHg = 1 Torr)

42 Pa : Pascal

44 J : Joule

Prefix Operation Unit

k (kilo) ∑10 103

M (Mega) ∑11 106

G (Giga) ∑12 109

T (Tera) ∑13 1012

m (milli) ∑14 10–3

µ (micro) ∑15 10–6

n (nano) ∑16 10–9

p (pico) ∑17 10–12

f (femto) ∑18 10–15

Metric Conversions

See the quick reference card and the English manual reverse side.

Unit conversions can be performed in the normal mode (when not

set to binary, pental, octal, or hexadecimal), equation mode and

statistics modes.

Calculations Using Engineering Prefixes

Calculation can be executed in the normal mode (excluding N-

base) using the following 9 types of prefixes.

Modify Function

Calculation results are internally obtained in scientific notation

with up to 14 digits for the mantissa. However, since calculation

results are displayed in the form designated by the display nota-

tion and the number of decimal places indicated, the internal

calculation result may differ from that shown in the display. By

using the modify function, the internal value is converted to match

that of the display, so that the displayed value can be used

without change in subsequent operations.

Solver Function

The x value can be found that reduces an entered equation to “0”.

• This function uses Newton’s method to obtain an approxima-

tion. Depending on the function (e.g. periodic) or ‘Start’ value,

an error may occur (Error 2) due to there being no convergence

to the solution for the equation.

• The value obtained by this function may include a margin of

error. If it is larger than acceptable, recalculate the solution

after changing ‘Start’ and dx values.

• Change the ‘Start’ value (e.g. to a negative value) or dx value

(e.g. to a smaller value) if:

• no solution can be found (Error 2).

• more than two solutions appear to be possible (e.g. a cubic

equation).

• to improve the arithmetic precision.

• The calculation result is automatically stored in the X memory.

[Performing Solver function]

Q Press m0.

W Input a formula with an x variable.

E Press ∑0.

R Input ‘Start’ value and press ®. The default value is “0”.

T Input dx value (minute interval).

Y Press ®.

SIMULATION CALCULATION (ALGB)

If you have to find a value consecutively using the same formula,

such as plotting a curve line for 2x2 + 1, or finding the variable for

2x + 2y =14, once you enter the equation, all you have to do is to

specify the value for the variable in the formula.

Usable variables: A-F, M, X and Y

Unusable functions: Random function

• Simulation calculations can only be executed in the normal

mode.

•

Calculation ending instructions other than

cannot be used.

Performing Calculations

QPress m0.

WInput a formula with at least one variable.

EPress @≤.

RVariable input screen will appear. Input the value of the flashing

variable, then press ® to confirm. The calculation result will

be displayed after entering the value for all used variables.

• Only numerical values are allowed as variables. Input of

formulas is not permitted.

• Upon completing the calculation, press @≤ to per-

form calculations using the same formula.

ENGLISH

INTRODUCTION

Thank you for purchasing the SHARP Scientific Calculator Model

EL-520W.

About the calculation examples (including some formulas and

tables), refer to the reverse side of this English manual. Refer to

the number on the right of each title in the manual for use.

After reading this manual, store it in a convenient location for

future reference.

Operational Notes

• Do not carry the calculator around in your back pocket, as it

may break when you sit down. The display is made of glass

and is particularly fragile.

• Keep the calculator away from extreme heat such as on a car

dashboard or near a heater, and avoid exposing it to exces-

sively humid or dusty environments.

• Since this product is not waterproof, do not use it or store it

where fluids, for example water, can splash onto it. Raindrops,

water spray, juice, coffee, steam, perspiration, etc. will also

cause malfunction.

• Clean with a soft, dry cloth. Do not use solvents or a wet cloth.

• Do not drop it or apply excessive force.

• Never dispose of batteries in a fire.

• Keep batteries out of the reach of children.

• This product, including accessories, may change due to up-

grading without prior notice.

NOTICE

• SHARP strongly recommends that separate permanent

written records be kept of all important data. Data may be

lost or altered in virtually any electronic memory product

under certain circumstances. Therefore, SHARP assumes

no responsibility for data lost or otherwise rendered unusable

whether as a result of improper use, repairs, defects, battery

replacement, use after the specified battery life has expired,

or any other cause.

• SHARP will not be liable nor responsible for any incidental or

consequential economic or property damage caused by

misuse and/or malfunctions of this product and its peripherals,

unless such liability is acknowledged by law.

♦Press the RESET switch (on the back), with the tip of a ball-

point pen or similar object, only in the following cases. Do not

use an object with a breakable or sharp tip. Note that pressing

the RESET switch erases all data stored in memory.

• When using for the first time

• After replacing the batteries

• To clear all memory contents

•

When an abnormal condition occurs and all keys are inoperative.

If service should be required on this calculator, use only a SHARP

servicing dealer, SHARP approved service facility, or SHARP

repair service where available.

Hard Case

DISPLAY

•

During actual use, not all symbols are displayed at the same time.

• Certain inactive symbols may appear visible when viewed from

a far off angle.

• Only the symbols required for the usage under instruction are

shown in the display and calculation examples of this manual.

Appears when the entire equation cannot be displayed.

Press

to see the remaining (hidden) section.

xy/r

:Indicates the mode of expression of results in the com-

plex calculation mode.

:Indicates that data can be visible above/below the

screen. Press [/] to scroll up/down the view.

2ndF : Appears when @ is pressed.

HYP : Indicates that h has been pressed and the hyper-

bolic functions are enabled. If @H are pressed,

the symbols “2ndF HYP” appear, indicating that inverse

hyperbolic functions are enabled.

ALPHA :

Appears when

(STAT VAR),

is pressed.

PRINTED IN CHINA / IMPRIMÉ EN CHINE / IMPRESO EN CHINA

04CGK (TINSE0730EHZZ)

SCIENTIFIC CALCULATOR

OPERATION MANUAL

EL-520W

MODEL

1234567890.,

SHARP CORPORATION

FIX/SCI/ENG: Indicates the notation used to display a value.

DEG/RAD/GRAD: Indicates angular units.

STAT

:Appears when statistics mode is selected.

M:Indicates that a value is stored in the independent memory.

Indicates that the calculator is waiting for a numerical

value to be entered, such as during simulation calculation.

:Appears when the calculator shows an angle as the result

in the complex calculation mode.

i:Indicates an imaginary number is being displayed in the

complex calculation mode.

BEFORE USING THE CALCULATOR

Key Notation Used in this Manual

In this manual, key operations are described as follows:

To specify ex:@e

To specify ln : I

To specify F : Kü

Functions that are printed in orange above the key require @ to

be pressed first before the key. When you specify the memory,

press K first. Numbers for input value are not shown as keys,

but as ordinary numbers.

Power On and Off

Press ª to turn the calculator on, and @F to turn it off.

Clearing the Entry and Memories

Operation Entry M A-F, X, Y STAT*1

(Display) F1-F4 ANS STAT VAR*2

ª×× ×

@c ×

Mode selection ×

@∏00*3

@∏10*4

RESET switch

: Clear × : Retain

*1Statistical data (entered data).

*2x¯, sx,

x, n,

x2, ¯y, sy,

y2,

xy, r, a, b, c.

*3All variables are cleared.

*4This key combination functions the same as the RESET switch.

[Memory clear key]

Press @∏ to display the menu.

• To clear all variables (M, A-F, X, Y, ANS,

F1-F4, STAT VAR), press 00 or 0®.

• To RESET the calculator, press 10 or 1®.

The RESET operation will erase all data stored in memory, and

restore the calculator's default setting.

Entering and Correcting the Equation

[Cursor keys]

• Press < or > to move the cursor. You can also return to

the equation after getting an answer by pressing > (<).

See the next section for using the [ and ] keys.

• See ‘SET UP menu’ for cursor use in the SET UP menu.

[Insert mode and Overwrite mode in the Equation display]

• Pressing @‘ switches between the two editing modes:

insert mode (default); and overwrite mode. A triangular cursor

indicates that an entry will be inserted at the cursor, while the

rectangular cursor indicates to overwrite preexisting data as you

make entries.

• To insert a number in the insert mode, move the cursor to the

place immediately after where you wish to insert, then make a

desired entry. In the overwrite mode, data under the cursor will

be overwritten by the number you enter.

• The mode set will be retained until the next RESET operation.

[Deletion key]

• To delete a number/function, move the cursor to the number/

function you wish to delete, then press d. If the cursor is

located at the right end of an equation, the d key will function

as a back space key.

Multi-line Playback Function

Previous equations may be recalled in the normal mode. Equations

also include calculation ending instructions such as “=” and a maxi-

mum of 142 characters can be stored in memory. When the memory

is full, stored equations are deleted in the order of the oldest first.

Pressing [ will display the previous equation and the answer.

Further pressing [ will display preceding equations (after re-

turning to the previous equation, press ] to view equations in

order). In addition, @[ can be used to jump to the oldest

equation.

• To edit an equation after recalling it, press > (<).

• The multi-line memory is cleared by the following operations:

@c, @F (including the Automatic Power Off fea-

ture), mode change, memory clear (@∏), RESET, @

`, K (R) ?, constant calculation, differential/inte-

gral calculation, chain calculation, angle unit conversion, coordi-

nate conversion, N-base conversion, numerical value storage to

the temporary memories and independent memory, solver func-

tion and simulation calculation.

MEM

RESET

Priority Levels in Calculation

Operations are performed according to the following priority:

Q Fractions (1l4, etc.) W ∠, engineering prefixes E Functions

preceded by their argument (x-1, x2, n!, etc.) R Yx, x¿ T Implied

multiplication of a memory value (2Y, etc.) Y Functions followed by

their argument (sin, cos, etc.) U Implied multiplication of a function

(2sin30, etc.) I nCr, nPr O ×, ÷ P +, – { AND } OR, XOR, XNOR

q =, M+, M–, ⇒M, |DEG, |RAD, |GRAD, DATA, CD, →rθ, →xy

and other calculation ending instructions

•If parentheses are used, parenthesized calculations have prec-

edence over any other calculations.

INITIAL SET UP

Mode Selection

m0: Normal mode (NORMAL)

m1: Statistic mode (STAT)

m2: Equation mode (EQN)

m3: Complex number mode (CPLX)

SET UP menu

Press ” to display the SET UP menu.

•A menu item can be selected by:

•moving the flashing cursor by using

><, then pressing ® (= key), or

•pressing the number key corresponding to the menu item number.

•If or is displayed on the screen, press [ or ] to

view the previous/next menu screen.

•Press ª to exit the SET UP menu.

[Determination of the Angular Unit]

The following three angular units (degrees, radians, and grads) can

be specified.

•DEG (°) : Press ”00.

•RAD (rad): Press ”01.

•GRAD (g) : Press ”02.

[Selecting the Display Notation and Decimal Places]

Four display notation systems are used to display calculation re-

sults: Floating point; Fixed decimal point; Scientific notation; and

Engineering notation.

•When the FIX, SCI, or ENG symbol is displayed, the number of decimal

places (TAB) can be set to any value between 0 and 9. Displayed

values will be reduced to the corresponding number of digits.

[Setting the Floating Point Numbers System in Scientific Notation]

Two settings are used to display a floating point number: NORM1

(default setting) and NORM2. A number is automatically displayed

in scientific notation outside a preset range:

•NORM1: 0.000000001 ≤ x ≤ 9999999999

•NORM2: 0.01 ≤ x ≤ 9999999999

SCIENTIFIC CALCULATIONS

•Press m0 to select the normal mode.

•In each example, press ª to clear the display. If the FIX, SCI,

or ENG indicator is displayed, clear the indicator by selecting

‘NORM1’ from the SET UP menu.

Arithmetic Operations

•The closing parenthesis ) just before = or ; may be

omitted.

Constant Calculations

•In constant calculations, the addend becomes a constant. Sub-

traction and division are performed in the same manner. For

multiplication, the multiplicand becomes a constant.

•In the constants calculations, constants will be displayed as K.

Functions

•Refer to the calculation examples of each function.

•Before starting calculations, specify the angular unit.

Differential/Integral Functions

Differential and integral calculations are only available in the nor-

mal mode. For calculation conditions such as the x value in differ-

ential calculation or the initial point in integral calculation, only

numerical values can be entered and equations such as 22 cannot

be specified. It is possible to reuse the same equation over and

over again and to recalculate by only changing the conditions with-

out re-entering the equation.

•Performing a calculation will clear the value in the X memory.

•

When performing a differential calculation, enter the formula first and

then enter the x value in differential calculation and the minute interval

(dx). If a numerical value is not specified for minute interval,

≠0 will be



×10

–5

and

=0 will be 10

–5

from the value of the numeric derivative.

•When performing an integral calculation, enter the formula first

and then enter a range of integral (a, b) and subintervals (n). If a

numerical value is not specified for subintervals, calculation will

be performed using n=100.

Since differential and integral calculations are performed based on

the following equations, correct results may not be obtained, in

certain rare cases, when performing special calculations that con-

tain discontinuous points.

DRG

FSE

TA B

0 1

Integral calculation (Simpson’s rule):

S=—h{ƒ(a)+4{ƒ(a+h)+ƒ(a+3h)+······+ƒ(a+(N–1)h)}

+2{ƒ(a+2h)+ƒ(a+4h)+······+ƒ(a+(N–2)h)}+f(b)}

Differential calculation:

[When performing integral calculations]

Integral calculations, depending on the

integrands and subintervals included, require

longer calculation time. During calculation, “Cal-

culating!” will be displayed. To cancel calcula-

tion, press ª. Note that there will be greater

integral errors when there are large fluctua-

tions in the integral values during minute shift-

ing of the integral range and for periodic func-

tions, etc., where positive and negative inte-

gral values exist depending on the interval.

For the former case, divide integral intervals

as small as possible. For the latter case,

separate the positive and negative values.

Following these tips will allow results of calculations with greater

accuracy and will also shorten the calculation time.

Random Function

The Random function has four settings for use in the normal or

statistics mode. (This function cannot be selected while using the

N-Base function.) To generate further random numbers in succes-

sion, press ®. Press ª to exit.

•The generated pseudo-random number series is stored in memory

Y. Each random number is based on a number series.

[Random Numbers]

A pseudo-random number, with three significant digits from 0 up to

0.999, can be generated by pressing @`0®.

[Random Dice]

To simulate a die-rolling, a random integer between 1 and 6 can be

generated by pressing @`1®.

[Random Coin]

To simulate a coin flip, 0 (head) or 1 (tail) can be randomly gener-

ated by pressing @`2®.

[Random Integer]

An integer between 0 and 99 can be generated randomly by press-

ing @`3®.

Angular Unit Conversions

Each time

are pressed, the angular unit changes in sequence.

Memory Calculations

Mode ANS M, F1-F4 A-F, X, Y

NORMAL

STAT ××

EQN ×××

CPLX ×

: Available × : Unavailable

[Temporary memories (A-F, X and Y)]

Press O and a variable key to store a value in memory.

Press R and a variable key to recall a value from the memory.

To place a variable in an equation, press K and a variable key.

[Independent memory (M)]

In addition to all the features of temporary memories, a value can

be added to or subtracted from an existing memory value.

Press ªOM to clear the independent memory (M).

[Last answer memory (ANS)]

The calculation result obtained by pressing = or any other

calculation ending instruction is automatically stored in the last

answer memory.

[Formula memories (F1-F4)]

Formulas up to 256 characters in total can be stored in F1 - F4.

(Functions such as sin, etc., will be counted as one letter.) Storing

a new equation in each memory will automatically replace the

existing equation.

Note:

•Calculation results from the functions indicated below are auto-

matically stored in memories X or Y replacing existing values.

•Random function ...... Y memory

•→rθ, →xy .................... X memory (r or x), Y memory (θ or y)

•Use of R or K will recall the value stored in memory using

up to 14 digits.

Chain Calculations

•The previous calculation result can be used in the subsequent

calculation. However, it cannot be recalled after entering multiple

instructions.

•When using postfix functions (¿ , sin, etc.), a chain calculation is

possible even if the previous calculation result is cleared by the

use of the ª or @c keys.

•Variables and numerical values stored in the memories will be

displayed in the variable input screen. To change a numerical

value, input the new value and press ®.

•Performing simulation calculation will cause memory locations

to be overwritten with new values.

STATISTICAL CALCULATIONS

Press m1 to select the statistics mode. The seven statisti-

cal calculations listed below can be performed. After selecting the

statistics mode, select the desired sub-mode by pressing the number

key corresponding to your choice.

To change statistical sub-mode, reselect statistics mode (press

m1), then select the required sub-mode.

0 (SD) : Single-variable statistics

1 (LINE) : Linear regression calculation

2 (QUAD) : Quadratic regression calculation

3 (EXP) : Exponential regression calculation

4 (LOG) : Logarithmic regression calculation

5 (PWR) : Power regression calculation

6 (INV) : Inverse regression calculation

The following statistics can be obtained for each statistical calcula-

tion (refer to the table below):

Single-variable statistical calculation

Statistics of Q and value of the normal probability function

Linear regression calculation

Statistics of Q and W and, in addition, estimate of y for a given x

(estimate y´) and estimate of x for a given y (estimate x´)

Exponential regression, Logarithmic regression,

Power regression, and Inverse regression calculation

Statistics of Q and W. In addition, estimate of y for a given x and

estimate of x for a given y. (Since the calculator converts each

formula into a linear regression formula before actual calculation

takes place, it obtains all statistics, except coefficients a and b,

from converted data rather than entered data.)

Quadratic regression calculation

Statistics of Q and W and coefficients a, b, c in the quadratic

regression formula (y = a + bx + cx2). (For quadratic regression

calculations, no correlation coefficient (r) can be obtained.) When

there are two x´ values, press @≠.

When performing calculations using a, b and c, only one numeric

value can be held.

xMean of samples (x data)

sx Sample standard deviation (x data)

xPopulation standard deviation (x data)

nNumber of samples

xSum of samples (x data)

x2Sum of squares of samples (x data)

yMeans of samples (y data)

sy Sample standard deviation (y data)

yPopulation standard deviation (y data)

ySum of samples (y data)

y2Sum of squares of samples (y data)

xy Sum of products of samples (x, y)

rCorrelation coefficient

aCoefficient of regression equation

bCoefficient of regression equation

cCoefficient of quadratic regression equation

•Use K and R to perform a STAT variable calculation.

Data Entry and Correction

Entered data are kept in memory until @c or mode selec-

tion. Before entering new data, clear the memory contents.

[Data Entry]

Single-variable data

Data

frequency

(To enter multiples of the same data)

Two-variable data

Data

x &

Data

y k

Data

x &

Data

y &

frequency

k (To enter multiples

of the same data x and y.)

•Up to 100 data items can be entered. With the single-variable

data, a data item without frequency assignment is counted as

one data item, while an item assigned with frequency is stored as

a set of two data items. With the two-variable data, a set of data

items without frequency assignment is counted as two data items,

while a set of items assigned with frequency is stored as a set of

three data items.

[Data Correction]

Correction prior to pressing k immediately after a data entry:

Delete incorrect data with ª, then enter the correct data.

Correction after pressing k:

Use [] to display the data previously entered.

Press ] to display data items in ascending (oldest first)

order. To reverse the display order to descending (latest first),

press the [ key.

Each item is displayed with ‘Xn=’, ‘Yn=’, or ‘Nn=’ (n is the sequen-

tial number of the data set).

Display the data item to modify, input the correct value, then

press k. Using &, you can correct the values of the data

set all at once.

•To delete a data set, display an item of the data set to delete,

then press @J. The data set will be deleted.

•To add a new data set, press ª and input the values, then

press k.

Statistical Calculation Formulas

In the statistical calculation formulas, an error will occur when:

•The absolute value of the intermediate result or calculation result

is equal to or greater than 1 × 10100.

•The denominator is zero.

•An attempt is made to take the square root of a negative number.

•No solution exists in the quadratic regression calculation.

Normal Probability Calculations

•P(t), Q(t), and R(t) will always take positive values, even when

t<0, because these functions follow the same principle used

when solving for an area.

Values for P(t), Q(t), and R(t) are given to six decimal places.

SIMULTANEOUS LINEAR EQUATIONS

Simultaneous linear equation with two unknowns (2-VLE) or with

three unknowns (3-VLE) may be solved using this function.

Q 2-VLE: m20

W 3-VLE: m21

•If the determinant D = 0, an error occurs.

•If the absolute value of an intermediate result or calculation result

is 1 × 10100 or more, an error occurs.

•Coefficients ( a1, etc.) can be entered using ordinary arithmetic

operations.

•To clear the entered coefficients, press @c.

•Pressing ® when the determinant D is in the display recalls

the coefficients. Each time ® is pressed, a coefficient is

displayed in the order of input, allowing the entered coefficients

to be verified (by pressing @®, coefficients are displayed

in reverse order.) To correct a particular coefficient being dis-

played, enter the correct value and then press ®.

QUADRATIC AND CUBIC EQUATION SOLVERS

Quadratic (ax2 + bx + c = 0) or cubic (ax3 + bx2 + cx + d = 0) equation

may be solved using this function.

Q Quadratic equation solver: m22

W Cubic equation solver: m23

•Press ® after entering each coefficient.

•The result will be displayed by pressing ® after entering all

coefficients. When there are more than 2 results, the next solu-

tion will be displayed.

•When the result is an imaginary number, “xy” symbol will appear.

The display can be switched between imaginary and real parts

by pressing @≠.

COMPLEX NUMBER CALCULATIONS

To carry out addition, subtraction, multiplication, and division using

complex numbers, press m3 to select the complex number

mode.

Results of complex number calculations are expressed in two modes:

Q@}: Rectangular coordinate mode (xy appears.)

W@{: Polar coordinate mode (

appears.)

Complex number entry

QRectangular coordinates

x-coordinate

y-coordinate

x-coordinate

+Ü

y-coordinate

WPolar coordinates

r: absolute value θ: argument

•On selecting another mode, the imaginary part of any complex

number stored in the independent memory (M) will be cleared.

•A complex number expressed in rectangular coordinates with the

y-value equal to zero, or expressed in polar coordinates with the

angle equal to zero, is treated as a real number.

•Press ∑0 to return the complex conjugate of the speci-

fied complex number.

ERROR AND CALCULATION RANGES

Errors

An error will occur if an operation exceeds the calculation ranges,

or if a mathematically illegal operation is attempted. When an error

occurs, pressing < (or >) automatically moves the cursor

back to the place in the equation where the error occurred. Edit the

equation or press ª to clear the equation.

Fraction Calculations

Arithmetic operations and memory calculations can be performed

using fractions, and conversion between a decimal number and a

fraction.

•If the number of digits to be displayed is greater than 10, the

number is converted to and displayed as a decimal number.

Binary, Pental, Octal, Decimal, and Hexadecimal

Operations (N-Base)

Conversions can be performed between N-base numbers. The

four basic arithmetic operations, calculations with parentheses

and memory calculations can also be performed, along with the

logical operations AND, OR, NOT, NEG, XOR and XNOR on

binary, pental, octal and hexadecimal numbers.

Conversion to each system is performed by the following keys:

@ê (“” appears.), @û (“ ” appears.), @î

(“” appears.), @ì (“ ” appears.), @í (“ ”, “ ”,

“” and “ ” disappear.)

Note: The hexadecimal numbers A – F are entered by pressing

ß, ™, L, ÷, l, and I, and displayed

as follows:

A → ï, B → ∫, C → ó, D → ò, E → ô, F → ö

In the binary, pental, octal, and hexadecimal systems, fractional

parts cannot be entered. When a decimal number having a frac-

tional part is converted into a binary, pental, octal, or hexadeci-

mal number, the fractional part will be truncated. Likewise, when

the result of a binary, pental, octal, or hexadecimal calculation

includes a fractional part, the fractional part will be truncated. In

the binary, pental, octal, and hexadecimal systems, negative num-

bers are displayed as a complement.

Time, Decimal and Sexagesimal Calculations

Conversion between decimal and sexagesimal numbers can be

performed, and, while using sexagesimal numbers, conversion to

seconds and minutes notation. The four basic arithmetic opera-

tions and memory calculations can be performed using the

sexagesimal system. Notation for sexagesimal is as follows:

Coordinate Conversions

•Before performing a calculation, select the angular unit.

•The calculation result is automatically stored in memories X

and Y.

•Value of r or x: X memory •Value of θ or y: Y memory

Calculations Using Physical Constants

See the quick reference card and the English manual reverse side.

A constant is recalled by pressing ß followed by the number

of the physical constant designated by a 2-digit number.

The recalled constant appears in the display mode selected with

the designated number of decimal places.

Physical constants can be recalled in the normal mode (when not

set to binary, pental, octal, or hexadecimal), equation mode, or

statistics mode.

Note: Physical constants and metric conversions are based either

on the 2002 CODATA recommended values or 1995 Edi-

tion of the “Guide for the Use of the International System of

Units (SI)” released by NIST (National Institute of Stand-

ards and Technology) or on ISO specifications.

No. Constant

01 Speed of light in vacuum

02 Newtonian constant of

gravitation

03 Standard acceleration of

gravity

04 Electron mass

05 Proton mass

06 Neutron mass

07 Muon mass

08 Atomic mass unit-kilogram

relationship

09 Elementary charge

10 Planck constant

11 Boltzmann constant

12 Magnetic constant

13 Electric constant

14 Classical electron radius

15 Fine-structure constant

16 Bohr radius

17 Rydberg constant

18 Magnetic flux quantum

19 Bohr magneton

20 Electron magnetic moment

21 Nuclear magneton

22 Proton magnetic moment

23 Neutron magnetic moment

24 Muon magnetic moment

25 Compton wavelength

26 Proton Compton wavelength

No. Constant

27 Stefan-Boltzmann constant

28 Avogadro constant

29 Molar volume of ideal gas

(273.15 K, 101.325 kPa)

30 Molar gas constant

31 Faraday constant

32 Von Klitzing constant

33 Electron charge to mass

quotient

34 Quantum of circulation

35 Proton gyromagnetic ratio

36 Josephson constant

37 Electron volt

38 Celsius Temperature

39 Astronomical unit

40 Parsec

41 Molar mass of carbon-12

42 Planck constant over 2 pi

43 Hartree energy

44 Conductance quantum

45 Inverse fine-structure constant

46 Proton-electron mass ratio

47 Molar mass constant

48 Neutron Compton wavelength

49 First radiation constant

50 Second radiation constant

51 Characteristic impedance of

vacuum

52 Standard atmosphere

Error Codes and Error Types

Syntax error (Error 1):

•An attempt was made to perform an invalid operation.

Ex. 2 @{

Calculation error (Error 2):

•The absolute value of an intermediate or final calculation result equals

or exceeds 10100.

•An attempt was made to divide by 0 (or an intermediate calculation

resulted in zero).

•The calculation ranges were exceeded while performing calculations.

Depth error (Error 3):

•The available number of buffers was exceeded. (There are 10 buffers*

for numeric values and 24 buffers for calculation instructions).

*5 buffers in STAT mode and complex number mode.

•Data items exceeded 100 in the statistics mode.

Equation too long (Error 4):

•The equation exceeded its maximum input buffer (142 characters).

An equation must be shorter than 142 characters.

Equation recall error (Error 5):

•The stored equation contains a function not available in the mode

used to recall the equation. For example, if a numerical value with

numbers other than 0 and 1 is stored as a decimal, etc., it cannot be

recalled when the calculator is set to binary.

Memory over error (Error 6):

•Equation exceeded the formula memory buffer (256 characters in total

in F1 - F4).

Calculation Ranges

•Within the ranges specified, this calculator is accurate to ±1

of the least significant digit of the mantissa. However, a

calculation error increases in continuous calculations due

to accumulation of each calculation error. (This is the same

for yx, x¿ ,

, etc., where continuous calculations are

performed internally.)

Additionally, a calculation error will accumulate and become

larger in the vicinity of inflection points and singular points

of functions.

•Calculation ranges

±10–99 ~ ±9.999999999×1099 and 0.

If the absolute value of an entry or a final or intermediate result of a

calculation is less than 10–99, the value is considered to be 0 in

calculations and in the display.

BATTERY REPLACEMENT

Notes on Battery Replacement

Improper handling of batteries can cause electrolyte leakage or

explosion. Be sure to observe the following handling rules:

•Replace both batteries at the same time.

•Do not mix new and old batteries.

•Make sure the new batteries are the correct type.

•When installing, orient each battery properly as indicated in the

calculator.

•Batteries are factory-installed before shipment, and may be ex-

hausted before they reach the service life stated in the specifica-

tions.

Notes on erasure of memory contents

When the battery is replaced, the memory contents are erased.

Erasure can also occur if the calculator is defective or when it is

repaired. Make a note of all important memory contents in case

accidental erasure occurs.

When to Replace the Batteries

If the display has poor contrast or nothing appears on the display

even when ª is pressed in dim lighting, it is time to replace the

batteries.

Cautions

•Fluid from a leaking battery accidentally entering an eye could

result in serious injury. Should this occur, wash with clean water

and immediately consult a doctor.

•Should fluid from a leaking battery come in contact with your skin

or clothes, immediately wash with clean water.

•If the product is not to be used for some time, to avoid damage to

the unit from leaking batteries, remove them and store in a safe

place.

•Do not leave exhausted batteries inside the product.

•Do not fit partially used batteries, and be sure not to mix batteries

of different types.

•Keep batteries out of the reach of children.

•Exhausted batteries left in the calculator may leak and damage

the calculator.

•Explosion risk may be caused by incorrect handling.

•Do not throw batteries into a fire as they may explode.

Replacement Procedure

1. Turn the power off by pressing @ F.

2. Remove the two screws. (Fig. 1)

3. Slide the battery cover slightly and lift it to remove.

4. Remove the used batteries by prying them out with a ball-point

pen or other similar pointed device. (Fig. 2)

5. Install two new batteries. Make sure the “+” side is facing up.

6. Replace the cover and screws.

7. Press the RESET switch (on the back).

•Make sure that the display appears as shown below. If the

display does not appear as shown, remove the batteries, rein-

stall them and check the display once again.

Automatic Power Off Function

This calculator will turn itself off to save battery power if no key is

pressed for approximately 10 minutes.

SPECIFICATIONS

Calculations: Scientific calculations, complex number

calculations, equation solvers, statistical

calculations, etc.

Internal calculations: Mantissas of up to 14 digits

Pending operations: 24 calculations 10 numeric values

(5 numeric values in STAT and complex

number mode)

Power source: Built-in solar cells

3 V ¶ (DC):

Backup batteries

(Alkaline batteries (LR44) × 2)

Operating temperature: 0°C – 40°C (32°F – 104°F)

External dimensions:

79.6 mm (W) × 154.5 mm (D) × 13.2 mm (H)

3-1/8” (W) × 6-3/32” (D) × 17/32” (H)

Weight: Approx. 97 g (0.22 lb)

(Including batteries)

Accessories: Batteries × 2 (installed), operation

manual, quick reference card and hard

case

FOR MORE INFORMATION ABOUT

SCIENTIFIC CALCULATOR

Visit our Web site.

http://sharp-world.com/calculator/

degree second

minute

↔

P (x,y )

P (r,

)

Rectangular coord. Polar coord.

Type Regression formula

Linear y = a + bx

Exponential y = a • ebx

Logarithmic y = a + b • ln x

Power y = a • xb

Inverse y = a + b —

Quadratic y = a + bx + cx2

(Fig. 1) (Fig. 2)

Exponent

Equation→

Display

Mantissa

←Symbol

f(x+––)–f(x–––)

f’(x)=————————

N=2n













h=b–a

a≤x≤b

3——

No. Remarks

1 in : inch

2 cm : centimeter

3 ft : foot

4 m : meter

5 yd : yard

6 m : meter

7 mile : mile

8 km : kilometer

9 n mile : nautical mile

10 m : meter

11 acre : acre

12 m2: square meter

13 oz : ounce

14 g : gram

15 lb : pound

16 kg : kilogram

17 °F : Degree Fahrenheit

18 °C : Degree Celsius

19 gal (US) : gallon (US)

20 l: liter

21 gal (UK) : gallon (UK)

22 l: liter

No. Remarks

23 fl oz(US): fluid ounce(US)

24 ml: milliliter

25 fl oz(UK): fluid ounce(UK)

26 ml: milliliter

27 J : Joule

28 cal : calorie

29 J : Joule

30 cal15 : Calorie (15n°C)

31 J : Joule

32 calIT : I.T. calorie

33 hp : horsepower

34 W : watt

35 ps : French horsepower

36 W : watt

38 Pa : Pascal

39 atm : atmosphere

40 Pa : Pascal

41 (1 mmHg = 1 Torr)

42 Pa : Pascal

44 J : Joule

Prefix Operation Unit

k (kilo) ∑10 103

M (Mega) ∑11 106

G (Giga) ∑12 109

T (Tera) ∑13 1012

m (milli) ∑14 10–3

µ (micro) ∑15 10–6

n (nano) ∑16 10–9

p (pico) ∑17 10–12

f (femto) ∑18 10–15

EL-520W (TINSExxxxEHZZ)_ENGLISH_1

Metric Conversions

See the quick reference card and the English manual reverse side.

Unit conversions can be performed in the normal mode (when not

set to binary, pental, octal, or hexadecimal), equation mode and

statistics modes.

Calculations Using Engineering Prefixes

Calculation can be executed in the normal mode (excluding N-

base) using the following 9 types of prefixes.

Modify Function

Calculation results are internally obtained in scientific notation

with up to 14 digits for the mantissa. However, since calculation

results are displayed in the form designated by the display nota-

tion and the number of decimal places indicated, the internal

calculation result may differ from that shown in the display. By

using the modify function, the internal value is converted to match

that of the display, so that the displayed value can be used

without change in subsequent operations.

Solver Function

The x value can be found that reduces an entered equation to “0”.

• This function uses Newton’s method to obtain an approxima-

tion. Depending on the function (e.g. periodic) or ‘Start’ value,

an error may occur (Error 2) due to there being no convergence

to the solution for the equation.

• The value obtained by this function may include a margin of

error. If it is larger than acceptable, recalculate the solution

after changing ‘Start’ and dx values.

• Change the ‘Start’ value (e.g. to a negative value) or dx value

(e.g. to a smaller value) if:

• no solution can be found (Error 2).

• more than two solutions appear to be possible (e.g. a cubic

equation).

• to improve the arithmetic precision.

• The calculation result is automatically stored in the X memory.

[Performing Solver function]

Q Press m0.

W Input a formula with an x variable.

E Press ∑0.

R Input ‘Start’ value and press ®. The default value is “0”.

T Input dx value (minute interval).

Y Press ®.

SIMULATION CALCULATION (ALGB)

If you have to find a value consecutively using the same formula,

such as plotting a curve line for 2x2 + 1, or finding the variable for

2x + 2y =14, once you enter the equation, all you have to do is to

specify the value for the variable in the formula.

Usable variables: A-F, M, X and Y

Unusable functions: Random function

• Simulation calculations can only be executed in the normal

mode.

•

Calculation ending instructions other than

cannot be used.

Performing Calculations

QPress m0.

WInput a formula with at least one variable.

EPress @≤.

RVariable input screen will appear. Input the value of the flashing

variable, then press ® to confirm. The calculation result will

be displayed after entering the value for all used variables.

• Only numerical values are allowed as variables. Input of

formulas is not permitted.

• Upon completing the calculation, press @≤ to per-

form calculations using the same formula.

ENGLISH

INTRODUCTION

Thank you for purchasing the SHARP Scientific Calculator Model

EL-520W.

About the calculation examples (including some formulas and

tables), refer to the reverse side of this English manual. Refer to

the number on the right of each title in the manual for use.

After reading this manual, store it in a convenient location for

future reference.

Operational Notes

• Do not carry the calculator around in your back pocket, as it

may break when you sit down. The display is made of glass

and is particularly fragile.

• Keep the calculator away from extreme heat such as on a car

dashboard or near a heater, and avoid exposing it to exces-

sively humid or dusty environments.

• Since this product is not waterproof, do not use it or store it

where fluids, for example water, can splash onto it. Raindrops,

water spray, juice, coffee, steam, perspiration, etc. will also

cause malfunction.

• Clean with a soft, dry cloth. Do not use solvents or a wet cloth.

• Do not drop it or apply excessive force.

• Never dispose of batteries in a fire.

• Keep batteries out of the reach of children.

• This product, including accessories, may change due to up-

grading without prior notice.

NOTICE

• SHARP strongly recommends that separate permanent

written records be kept of all important data. Data may be

lost or altered in virtually any electronic memory product

under certain circumstances. Therefore, SHARP assumes

no responsibility for data lost or otherwise rendered unusable

whether as a result of improper use, repairs, defects, battery

replacement, use after the specified battery life has expired,

or any other cause.

• SHARP will not be liable nor responsible for any incidental or

consequential economic or property damage caused by

misuse and/or malfunctions of this product and its peripherals,

unless such liability is acknowledged by law.

♦Press the RESET switch (on the back), with the tip of a ball-

point pen or similar object, only in the following cases. Do not

use an object with a breakable or sharp tip. Note that pressing

the RESET switch erases all data stored in memory.

• When using for the first time

• After replacing the batteries

• To clear all memory contents

•

When an abnormal condition occurs and all keys are inoperative.

If service should be required on this calculator, use only a SHARP

servicing dealer, SHARP approved service facility, or SHARP

repair service where available.

Hard Case

DISPLAY

•

During actual use, not all symbols are displayed at the same time.

• Certain inactive symbols may appear visible when viewed from

a far off angle.

• Only the symbols required for the usage under instruction are

shown in the display and calculation examples of this manual.

Appears when the entire equation cannot be displayed.

Press

to see the remaining (hidden) section.

xy/r

:Indicates the mode of expression of results in the com-

plex calculation mode.

:Indicates that data can be visible above/below the

screen. Press [/] to scroll up/down the view.

2ndF : Appears when @ is pressed.

HYP : Indicates that h has been pressed and the hyper-

bolic functions are enabled. If @H are pressed,

the symbols “2ndF HYP” appear, indicating that inverse

hyperbolic functions are enabled.

ALPHA :

Appears when

(STAT VAR),

is pressed.

PRINTED IN CHINA / IMPRIMÉ EN CHINE / IMPRESO EN CHINA

04CGK (TINSE0730EHZZ)

SCIENTIFIC CALCULATOR

OPERATION MANUAL

EL-520W

MODEL

1234567890.,

SHARP CORPORATION

FIX/SCI/ENG: Indicates the notation used to display a value.

DEG/RAD/GRAD: Indicates angular units.

STAT

:Appears when statistics mode is selected.

M:Indicates that a value is stored in the independent memory.

Indicates that the calculator is waiting for a numerical

value to be entered, such as during simulation calculation.

:Appears when the calculator shows an angle as the result

in the complex calculation mode.

i:Indicates an imaginary number is being displayed in the

complex calculation mode.

BEFORE USING THE CALCULATOR

Key Notation Used in this Manual

In this manual, key operations are described as follows:

To specify ex:@e

To specify ln : I

To specify F : Kü

Functions that are printed in orange above the key require @ to

be pressed first before the key. When you specify the memory,

press K first. Numbers for input value are not shown as keys,

but as ordinary numbers.

Power On and Off

Press ª to turn the calculator on, and @F to turn it off.

Clearing the Entry and Memories

Operation Entry M A-F, X, Y STAT*1

(Display) F1-F4 ANS STAT VAR*2

ª×× ×

@c ×

Mode selection ×

@∏00*3

@∏10*4

RESET switch

: Clear × : Retain

*1Statistical data (entered data).

*2x¯, sx,

x, n,

x2, ¯y, sy,

y2,

xy, r, a, b, c.

*3All variables are cleared.

*4This key combination functions the same as the RESET switch.

[Memory clear key]

Press @∏ to display the menu.

• To clear all variables (M, A-F, X, Y, ANS,

F1-F4, STAT VAR), press 00 or 0®.

• To RESET the calculator, press 10 or 1®.

The RESET operation will erase all data stored in memory, and

restore the calculator's default setting.

Entering and Correcting the Equation

[Cursor keys]

• Press < or > to move the cursor. You can also return to

the equation after getting an answer by pressing > (<).

See the next section for using the [ and ] keys.

• See ‘SET UP menu’ for cursor use in the SET UP menu.

[Insert mode and Overwrite mode in the Equation display]

• Pressing @‘ switches between the two editing modes:

insert mode (default); and overwrite mode. A triangular cursor

indicates that an entry will be inserted at the cursor, while the

rectangular cursor indicates to overwrite preexisting data as you

make entries.

• To insert a number in the insert mode, move the cursor to the

place immediately after where you wish to insert, then make a

desired entry. In the overwrite mode, data under the cursor will

be overwritten by the number you enter.

• The mode set will be retained until the next RESET operation.

[Deletion key]

• To delete a number/function, move the cursor to the number/

function you wish to delete, then press d. If the cursor is

located at the right end of an equation, the d key will function

as a back space key.

Multi-line Playback Function

Previous equations may be recalled in the normal mode. Equations

also include calculation ending instructions such as “=” and a maxi-

mum of 142 characters can be stored in memory. When the memory

is full, stored equations are deleted in the order of the oldest first.

Pressing [ will display the previous equation and the answer.

Further pressing [ will display preceding equations (after re-

turning to the previous equation, press ] to view equations in

order). In addition, @[ can be used to jump to the oldest

equation.

• To edit an equation after recalling it, press > (<).

• The multi-line memory is cleared by the following operations:

@c, @F (including the Automatic Power Off fea-

ture), mode change, memory clear (@∏), RESET, @

`, K (R) ?, constant calculation, differential/inte-

gral calculation, chain calculation, angle unit conversion, coordi-

nate conversion, N-base conversion, numerical value storage to

the temporary memories and independent memory, solver func-

tion and simulation calculation.

MEM

RESET

Priority Levels in Calculation

Operations are performed according to the following priority:

Q Fractions (1l4, etc.) W ∠, engineering prefixes E Functions

preceded by their argument (x-1, x2, n!, etc.) R Yx, x¿ T Implied

multiplication of a memory value (2Y, etc.) Y Functions followed by

their argument (sin, cos, etc.) U Implied multiplication of a function

(2sin30, etc.) I nCr, nPr O ×, ÷ P +, – { AND } OR, XOR, XNOR

q =, M+, M–, ⇒M, |DEG, |RAD, |GRAD, DATA, CD, →rθ, →xy

and other calculation ending instructions

•If parentheses are used, parenthesized calculations have prec-

edence over any other calculations.

INITIAL SET UP

Mode Selection

m0: Normal mode (NORMAL)

m1: Statistic mode (STAT)

m2: Equation mode (EQN)

m3: Complex number mode (CPLX)

SET UP menu

Press ” to display the SET UP menu.

•A menu item can be selected by:

•moving the flashing cursor by using

><, then pressing ® (= key), or

•pressing the number key corresponding to the menu item number.

•If or is displayed on the screen, press [ or ] to

view the previous/next menu screen.

•Press ª to exit the SET UP menu.

[Determination of the Angular Unit]

The following three angular units (degrees, radians, and grads) can

be specified.

•DEG (°) : Press ”00.

•RAD (rad): Press ”01.

•GRAD (g) : Press ”02.

[Selecting the Display Notation and Decimal Places]

Four display notation systems are used to display calculation re-

sults: Floating point; Fixed decimal point; Scientific notation; and

Engineering notation.

•When the FIX, SCI, or ENG symbol is displayed, the number of decimal

places (TAB) can be set to any value between 0 and 9. Displayed

values will be reduced to the corresponding number of digits.

[Setting the Floating Point Numbers System in Scientific Notation]

Two settings are used to display a floating point number: NORM1

(default setting) and NORM2. A number is automatically displayed

in scientific notation outside a preset range:

•NORM1: 0.000000001 ≤ x ≤ 9999999999

•NORM2: 0.01 ≤ x ≤ 9999999999

SCIENTIFIC CALCULATIONS

•Press m0 to select the normal mode.

•In each example, press ª to clear the display. If the FIX, SCI,

or ENG indicator is displayed, clear the indicator by selecting

‘NORM1’ from the SET UP menu.

Arithmetic Operations

•The closing parenthesis ) just before = or ; may be

omitted.

Constant Calculations

•In constant calculations, the addend becomes a constant. Sub-

traction and division are performed in the same manner. For

multiplication, the multiplicand becomes a constant.

•In the constants calculations, constants will be displayed as K.

Functions

•Refer to the calculation examples of each function.

•Before starting calculations, specify the angular unit.

Differential/Integral Functions

Differential and integral calculations are only available in the nor-

mal mode. For calculation conditions such as the x value in differ-

ential calculation or the initial point in integral calculation, only

numerical values can be entered and equations such as 22 cannot

be specified. It is possible to reuse the same equation over and

over again and to recalculate by only changing the conditions with-

out re-entering the equation.

•Performing a calculation will clear the value in the X memory.

•

When performing a differential calculation, enter the formula first and

then enter the x value in differential calculation and the minute interval

(dx). If a numerical value is not specified for minute interval,

≠0 will be



×10

–5

and

=0 will be 10

–5

from the value of the numeric derivative.

•When performing an integral calculation, enter the formula first

and then enter a range of integral (a, b) and subintervals (n). If a

numerical value is not specified for subintervals, calculation will

be performed using n=100.

Since differential and integral calculations are performed based on

the following equations, correct results may not be obtained, in

certain rare cases, when performing special calculations that con-

tain discontinuous points.

DRG

FSE

TA B

0 1

Integral calculation (Simpson’s rule):

S=—h{ƒ(a)+4{ƒ(a+h)+ƒ(a+3h)+······+ƒ(a+(N–1)h)}

+2{ƒ(a+2h)+ƒ(a+4h)+······+ƒ(a+(N–2)h)}+f(b)}

Differential calculation:

[When performing integral calculations]

Integral calculations, depending on the

integrands and subintervals included, require

longer calculation time. During calculation, “Cal-

culating!” will be displayed. To cancel calcula-

tion, press ª. Note that there will be greater

integral errors when there are large fluctua-

tions in the integral values during minute shift-

ing of the integral range and for periodic func-

tions, etc., where positive and negative inte-

gral values exist depending on the interval.

For the former case, divide integral intervals

as small as possible. For the latter case,

separate the positive and negative values.

Following these tips will allow results of calculations with greater

accuracy and will also shorten the calculation time.

Random Function

The Random function has four settings for use in the normal or

statistics mode. (This function cannot be selected while using the

N-Base function.) To generate further random numbers in succes-

sion, press ®. Press ª to exit.

•The generated pseudo-random number series is stored in memory

Y. Each random number is based on a number series.

[Random Numbers]

A pseudo-random number, with three significant digits from 0 up to

0.999, can be generated by pressing @`0®.

[Random Dice]

To simulate a die-rolling, a random integer between 1 and 6 can be

generated by pressing @`1®.

[Random Coin]

To simulate a coin flip, 0 (head) or 1 (tail) can be randomly gener-

ated by pressing @`2®.

[Random Integer]

An integer between 0 and 99 can be generated randomly by press-

ing @`3®.

Angular Unit Conversions

Each time

are pressed, the angular unit changes in sequence.

Memory Calculations

Mode ANS M, F1-F4 A-F, X, Y

NORMAL

STAT ××

EQN ×××

CPLX ×

: Available × : Unavailable

[Temporary memories (A-F, X and Y)]

Press O and a variable key to store a value in memory.

Press R and a variable key to recall a value from the memory.

To place a variable in an equation, press K and a variable key.

[Independent memory (M)]

In addition to all the features of temporary memories, a value can

be added to or subtracted from an existing memory value.

Press ªOM to clear the independent memory (M).

[Last answer memory (ANS)]

The calculation result obtained by pressing = or any other

calculation ending instruction is automatically stored in the last

answer memory.

[Formula memories (F1-F4)]

Formulas up to 256 characters in total can be stored in F1 - F4.

(Functions such as sin, etc., will be counted as one letter.) Storing

a new equation in each memory will automatically replace the

existing equation.

Note:

•Calculation results from the functions indicated below are auto-

matically stored in memories X or Y replacing existing values.

•Random function ...... Y memory

•→rθ, →xy .................... X memory (r or x), Y memory (θ or y)

•Use of R or K will recall the value stored in memory using

up to 14 digits.

Chain Calculations

•The previous calculation result can be used in the subsequent

calculation. However, it cannot be recalled after entering multiple

instructions.

•When using postfix functions (¿ , sin, etc.), a chain calculation is

possible even if the previous calculation result is cleared by the

use of the ª or @c keys.

•Variables and numerical values stored in the memories will be

displayed in the variable input screen. To change a numerical

value, input the new value and press ®.

•Performing simulation calculation will cause memory locations

to be overwritten with new values.

STATISTICAL CALCULATIONS

Press m1 to select the statistics mode. The seven statisti-

cal calculations listed below can be performed. After selecting the

statistics mode, select the desired sub-mode by pressing the number

key corresponding to your choice.

To change statistical sub-mode, reselect statistics mode (press

m1), then select the required sub-mode.

0 (SD) : Single-variable statistics

1 (LINE) : Linear regression calculation

2 (QUAD) : Quadratic regression calculation

3 (EXP) : Exponential regression calculation

4 (LOG) : Logarithmic regression calculation

5 (PWR) : Power regression calculation

6 (INV) : Inverse regression calculation

The following statistics can be obtained for each statistical calcula-

tion (refer to the table below):

Single-variable statistical calculation

Statistics of Q and value of the normal probability function

Linear regression calculation

Statistics of Q and W and, in addition, estimate of y for a given x

(estimate y´) and estimate of x for a given y (estimate x´)

Exponential regression, Logarithmic regression,

Power regression, and Inverse regression calculation

Statistics of Q and W. In addition, estimate of y for a given x and

estimate of x for a given y. (Since the calculator converts each

formula into a linear regression formula before actual calculation

takes place, it obtains all statistics, except coefficients a and b,

from converted data rather than entered data.)

Quadratic regression calculation

Statistics of Q and W and coefficients a, b, c in the quadratic

regression formula (y = a + bx + cx2). (For quadratic regression

calculations, no correlation coefficient (r) can be obtained.) When

there are two x´ values, press @≠.

When performing calculations using a, b and c, only one numeric

value can be held.

xMean of samples (x data)

sx Sample standard deviation (x data)

xPopulation standard deviation (x data)

nNumber of samples

xSum of samples (x data)

x2Sum of squares of samples (x data)

yMeans of samples (y data)

sy Sample standard deviation (y data)

yPopulation standard deviation (y data)

ySum of samples (y data)

y2Sum of squares of samples (y data)

xy Sum of products of samples (x, y)

rCorrelation coefficient

aCoefficient of regression equation

bCoefficient of regression equation

cCoefficient of quadratic regression equation

•Use K and R to perform a STAT variable calculation.

Data Entry and Correction

Entered data are kept in memory until @c or mode selec-

tion. Before entering new data, clear the memory contents.

[Data Entry]

Single-variable data

Data

frequency

(To enter multiples of the same data)

Two-variable data

Data

x &

Data

y k

Data

x &

Data

y &

frequency

k (To enter multiples

of the same data x and y.)

•Up to 100 data items can be entered. With the single-variable

data, a data item without frequency assignment is counted as

one data item, while an item assigned with frequency is stored as

a set of two data items. With the two-variable data, a set of data

items without frequency assignment is counted as two data items,

while a set of items assigned with frequency is stored as a set of

three data items.

[Data Correction]

Correction prior to pressing k immediately after a data entry:

Delete incorrect data with ª, then enter the correct data.

Correction after pressing k:

Use [] to display the data previously entered.

Press ] to display data items in ascending (oldest first)

order. To reverse the display order to descending (latest first),

press the [ key.

Each item is displayed with ‘Xn=’, ‘Yn=’, or ‘Nn=’ (n is the sequen-

tial number of the data set).

Display the data item to modify, input the correct value, then

press k. Using &, you can correct the values of the data

set all at once.

•To delete a data set, display an item of the data set to delete,

then press @J. The data set will be deleted.

•To add a new data set, press ª and input the values, then

press k.

Statistical Calculation Formulas

In the statistical calculation formulas, an error will occur when:

•The absolute value of the intermediate result or calculation result

is equal to or greater than 1 × 10100.

•The denominator is zero.

•An attempt is made to take the square root of a negative number.

•No solution exists in the quadratic regression calculation.

Normal Probability Calculations

•P(t), Q(t), and R(t) will always take positive values, even when

t<0, because these functions follow the same principle used

when solving for an area.

Values for P(t), Q(t), and R(t) are given to six decimal places.

SIMULTANEOUS LINEAR EQUATIONS

Simultaneous linear equation with two unknowns (2-VLE) or with

three unknowns (3-VLE) may be solved using this function.

Q 2-VLE: m20

W 3-VLE: m21

•If the determinant D = 0, an error occurs.

•If the absolute value of an intermediate result or calculation result

is 1 × 10100 or more, an error occurs.

•Coefficients ( a1, etc.) can be entered using ordinary arithmetic

operations.

•To clear the entered coefficients, press @c.

•Pressing ® when the determinant D is in the display recalls

the coefficients. Each time ® is pressed, a coefficient is

displayed in the order of input, allowing the entered coefficients

to be verified (by pressing @®, coefficients are displayed

in reverse order.) To correct a particular coefficient being dis-

played, enter the correct value and then press ®.

QUADRATIC AND CUBIC EQUATION SOLVERS

Quadratic (ax2 + bx + c = 0) or cubic (ax3 + bx2 + cx + d = 0) equation

may be solved using this function.

Q Quadratic equation solver: m22

W Cubic equation solver: m23

•Press ® after entering each coefficient.

•The result will be displayed by pressing ® after entering all

coefficients. When there are more than 2 results, the next solu-

tion will be displayed.

•When the result is an imaginary number, “xy” symbol will appear.

The display can be switched between imaginary and real parts

by pressing @≠.

COMPLEX NUMBER CALCULATIONS

To carry out addition, subtraction, multiplication, and division using

complex numbers, press m3 to select the complex number

mode.

Results of complex number calculations are expressed in two modes:

Q@}: Rectangular coordinate mode (xy appears.)

W@{: Polar coordinate mode (

appears.)

Complex number entry

QRectangular coordinates

x-coordinate

y-coordinate

x-coordinate

+Ü

y-coordinate

WPolar coordinates

r: absolute value θ: argument

•On selecting another mode, the imaginary part of any complex

number stored in the independent memory (M) will be cleared.

•A complex number expressed in rectangular coordinates with the

y-value equal to zero, or expressed in polar coordinates with the

angle equal to zero, is treated as a real number.

•Press ∑0 to return the complex conjugate of the speci-

fied complex number.

ERROR AND CALCULATION RANGES

Errors

An error will occur if an operation exceeds the calculation ranges,

or if a mathematically illegal operation is attempted. When an error

occurs, pressing < (or >) automatically moves the cursor

back to the place in the equation where the error occurred. Edit the

equation or press ª to clear the equation.

Fraction Calculations

Arithmetic operations and memory calculations can be performed

using fractions, and conversion between a decimal number and a

fraction.

•If the number of digits to be displayed is greater than 10, the

number is converted to and displayed as a decimal number.

Binary, Pental, Octal, Decimal, and Hexadecimal

Operations (N-Base)

Conversions can be performed between N-base numbers. The

four basic arithmetic operations, calculations with parentheses

and memory calculations can also be performed, along with the

logical operations AND, OR, NOT, NEG, XOR and XNOR on

binary, pental, octal and hexadecimal numbers.

Conversion to each system is performed by the following keys:

@ê (“” appears.), @û (“ ” appears.), @î

(“” appears.), @ì (“ ” appears.), @í (“ ”, “ ”,

“” and “ ” disappear.)

Note: The hexadecimal numbers A – F are entered by pressing

ß, ™, L, ÷, l, and I, and displayed

as follows:

A → ï, B → ∫, C → ó, D → ò, E → ô, F → ö

In the binary, pental, octal, and hexadecimal systems, fractional

parts cannot be entered. When a decimal number having a frac-

tional part is converted into a binary, pental, octal, or hexadeci-

mal number, the fractional part will be truncated. Likewise, when

the result of a binary, pental, octal, or hexadecimal calculation

includes a fractional part, the fractional part will be truncated. In

the binary, pental, octal, and hexadecimal systems, negative num-

bers are displayed as a complement.

Time, Decimal and Sexagesimal Calculations

Conversion between decimal and sexagesimal numbers can be

performed, and, while using sexagesimal numbers, conversion to

seconds and minutes notation. The four basic arithmetic opera-

tions and memory calculations can be performed using the

sexagesimal system. Notation for sexagesimal is as follows:

Coordinate Conversions

•Before performing a calculation, select the angular unit.

•The calculation result is automatically stored in memories X

and Y.

•Value of r or x: X memory •Value of θ or y: Y memory

Calculations Using Physical Constants

See the quick reference card and the English manual reverse side.

A constant is recalled by pressing ß followed by the number

of the physical constant designated by a 2-digit number.

The recalled constant appears in the display mode selected with

the designated number of decimal places.

Physical constants can be recalled in the normal mode (when not

set to binary, pental, octal, or hexadecimal), equation mode, or

statistics mode.

Note: Physical constants and metric conversions are based either

on the 2002 CODATA recommended values or 1995 Edi-

tion of the “Guide for the Use of the International System of

Units (SI)” released by NIST (National Institute of Stand-

ards and Technology) or on ISO specifications.

No. Constant

01 Speed of light in vacuum

02 Newtonian constant of

gravitation

03 Standard acceleration of

gravity

04 Electron mass

05 Proton mass

06 Neutron mass

07 Muon mass

08 Atomic mass unit-kilogram

relationship

09 Elementary charge

10 Planck constant

11 Boltzmann constant

12 Magnetic constant

13 Electric constant

14 Classical electron radius

15 Fine-structure constant

16 Bohr radius

17 Rydberg constant

18 Magnetic flux quantum

19 Bohr magneton

20 Electron magnetic moment

21 Nuclear magneton

22 Proton magnetic moment

23 Neutron magnetic moment

24 Muon magnetic moment

25 Compton wavelength

26 Proton Compton wavelength

No. Constant

27 Stefan-Boltzmann constant

28 Avogadro constant

29 Molar volume of ideal gas

(273.15 K, 101.325 kPa)

30 Molar gas constant

31 Faraday constant

32 Von Klitzing constant

33 Electron charge to mass

quotient

34 Quantum of circulation

35 Proton gyromagnetic ratio

36 Josephson constant

37 Electron volt

38 Celsius Temperature

39 Astronomical unit

40 Parsec

41 Molar mass of carbon-12

42 Planck constant over 2 pi

43 Hartree energy

44 Conductance quantum

45 Inverse fine-structure constant

46 Proton-electron mass ratio

47 Molar mass constant

48 Neutron Compton wavelength

49 First radiation constant

50 Second radiation constant

51 Characteristic impedance of

vacuum

52 Standard atmosphere

Error Codes and Error Types

Syntax error (Error 1):

•An attempt was made to perform an invalid operation.

Ex. 2 @{

Calculation error (Error 2):

•The absolute value of an intermediate or final calculation result equals

or exceeds 10100.

•An attempt was made to divide by 0 (or an intermediate calculation

resulted in zero).

•The calculation ranges were exceeded while performing calculations.

Depth error (Error 3):

•The available number of buffers was exceeded. (There are 10 buffers*

for numeric values and 24 buffers for calculation instructions).

*5 buffers in STAT mode and complex number mode.

•Data items exceeded 100 in the statistics mode.

Equation too long (Error 4):

•The equation exceeded its maximum input buffer (142 characters).

An equation must be shorter than 142 characters.

Equation recall error (Error 5):

•The stored equation contains a function not available in the mode

used to recall the equation. For example, if a numerical value with

numbers other than 0 and 1 is stored as a decimal, etc., it cannot be

recalled when the calculator is set to binary.

Memory over error (Error 6):

•Equation exceeded the formula memory buffer (256 characters in total

in F1 - F4).

Calculation Ranges

•Within the ranges specified, this calculator is accurate to ±1

of the least significant digit of the mantissa. However, a

calculation error increases in continuous calculations due

to accumulation of each calculation error. (This is the same

for yx, x¿ ,

, etc., where continuous calculations are

performed internally.)

Additionally, a calculation error will accumulate and become

larger in the vicinity of inflection points and singular points

of functions.

•Calculation ranges

±10–99 ~ ±9.999999999×1099 and 0.

If the absolute value of an entry or a final or intermediate result of a

calculation is less than 10–99, the value is considered to be 0 in

calculations and in the display.

BATTERY REPLACEMENT

Notes on Battery Replacement

Improper handling of batteries can cause electrolyte leakage or

explosion. Be sure to observe the following handling rules:

•Replace both batteries at the same time.

•Do not mix new and old batteries.

•Make sure the new batteries are the correct type.

•When installing, orient each battery properly as indicated in the

calculator.

•Batteries are factory-installed before shipment, and may be ex-

hausted before they reach the service life stated in the specifica-

tions.

Notes on erasure of memory contents

When the battery is replaced, the memory contents are erased.

Erasure can also occur if the calculator is defective or when it is

repaired. Make a note of all important memory contents in case

accidental erasure occurs.

When to Replace the Batteries

If the display has poor contrast or nothing appears on the display

even when ª is pressed in dim lighting, it is time to replace the

batteries.

Cautions

•Fluid from a leaking battery accidentally entering an eye could

result in serious injury. Should this occur, wash with clean water

and immediately consult a doctor.

•Should fluid from a leaking battery come in contact with your skin

or clothes, immediately wash with clean water.

•If the product is not to be used for some time, to avoid damage to

the unit from leaking batteries, remove them and store in a safe

place.

•Do not leave exhausted batteries inside the product.

•Do not fit partially used batteries, and be sure not to mix batteries

of different types.

•Keep batteries out of the reach of children.

•Exhausted batteries left in the calculator may leak and damage

the calculator.

•Explosion risk may be caused by incorrect handling.

•Do not throw batteries into a fire as they may explode.

Replacement Procedure

1. Turn the power off by pressing @ F.

2. Remove the two screws. (Fig. 1)

3. Slide the battery cover slightly and lift it to remove.

4. Remove the used batteries by prying them out with a ball-point

pen or other similar pointed device. (Fig. 2)

5. Install two new batteries. Make sure the “+” side is facing up.

6. Replace the cover and screws.

7. Press the RESET switch (on the back).

•Make sure that the display appears as shown below. If the

display does not appear as shown, remove the batteries, rein-

stall them and check the display once again.

Automatic Power Off Function

This calculator will turn itself off to save battery power if no key is

pressed for approximately 10 minutes.

SPECIFICATIONS

Calculations: Scientific calculations, complex number

calculations, equation solvers, statistical

calculations, etc.

Internal calculations: Mantissas of up to 14 digits

Pending operations: 24 calculations 10 numeric values

(5 numeric values in STAT and complex

number mode)

Power source: Built-in solar cells

3 V ¶ (DC):

Backup batteries

(Alkaline batteries (LR44) × 2)

Operating temperature: 0°C – 40°C (32°F – 104°F)

External dimensions:

79.6 mm (W) × 154.5 mm (D) × 13.2 mm (H)

3-1/8” (W) × 6-3/32” (D) × 17/32” (H)

Weight: Approx. 97 g (0.22 lb)

(Including batteries)

Accessories: Batteries × 2 (installed), operation

manual, quick reference card and hard

case

FOR MORE INFORMATION ABOUT

SCIENTIFIC CALCULATOR

Visit our Web site.

http://sharp-world.com/calculator/

degree second

minute

↔

P (x,y )

P (r,

)

Rectangular coord. Polar coord.

Type Regression formula

Linear y = a + bx

Exponential y = a • ebx

Logarithmic y = a + b • ln x

Power y = a • xb

Inverse y = a + b —

Quadratic y = a + bx + cx2

(Fig. 1) (Fig. 2)

Exponent

Equation→

Display

Mantissa

←Symbol

f(x+––)–f(x–––)

f’(x)=————————

N=2n













h=b–a

a≤x≤b

3——

No. Remarks

1 in : inch

2 cm : centimeter

3 ft : foot

4 m : meter

5 yd : yard

6 m : meter

7 mile : mile

8 km : kilometer

9 n mile : nautical mile

10 m : meter

11 acre : acre

12 m2: square meter

13 oz : ounce

14 g : gram

15 lb : pound

16 kg : kilogram

17 °F : Degree Fahrenheit

18 °C : Degree Celsius

19 gal (US) : gallon (US)

20 l: liter

21 gal (UK) : gallon (UK)

22 l: liter

No. Remarks

23 fl oz(US): fluid ounce(US)

24 ml: milliliter

25 fl oz(UK): fluid ounce(UK)

26 ml: milliliter

27 J : Joule

28 cal : calorie

29 J : Joule

30 cal15 : Calorie (15n°C)

31 J : Joule

32 calIT : I.T. calorie

33 hp : horsepower

34 W : watt

35 ps : French horsepower

36 W : watt

38 Pa : Pascal

39 atm : atmosphere

40 Pa : Pascal

41 (1 mmHg = 1 Torr)

42 Pa : Pascal

44 J : Joule

Prefix Operation Unit

k (kilo) ∑10 103

M (Mega) ∑11 106

G (Giga) ∑12 109

T (Tera) ∑13 1012

m (milli) ∑14 10–3

µ (micro) ∑15 10–6

n (nano) ∑16 10–9

p (pico) ∑17 10–12

f (femto) ∑18 10–15

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x = –0.5 @≤ 0.5 ±®

1.125

A2+B2@⁄(KAL+

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A = 2, B = 3 2 ® 3 ®

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5.385164807

k&~£pnzw^

¢PZWvrab©

xy≠° (→t, P(, Q(, R()

DATA

95 m10

80 95 k

80 80 k

75 k

75 75 & 3 k

75 50 k

–

x=R~

75.71428571

σx=Rp

12.37179148

n=Rn

Σx=Rz

530.

Σx2=Rw

41’200.

sx=R£

13.3630621

sx2=L=

178.5714286

(95––

x) ×10+50= ( 95 -K~)

sx/K£* 10

+ 50 =

64.43210706

x = 60 → P(t) ? °1 60 °0)=

0.102012

t = –0.5 → R(t) ? °3 0.5 ±)=

0.691463

xy m11

2 5 2 & 5 k

2 5 k

12 24 12 & 24 k

21 40 21 & 40 & 3 k

21 40 15 & 25 k

21 40 Ra

1.050261097

15 25 Rb

1.826044386

0.995176343

R£

8.541216597

R¢

15.67223812

x=3 → y′=? 3 @y

6.528394256

y=46 → x′=? 46 @x

24.61590706

xy m12

12 41 12 & 41 k

8 13 8 & 13 k

5 2 5 & 2 k

23 200 23 & 200 k

15 71 15 & 71 k

5.357506761

–3.120289663

R©

0.503334057

x=10 → y′=? 10 @y

24.4880159

y=22 → x′=? 22 @x

9.63201409

@≠

–3.432772026

@≠

9.63201409

k[]

DATA

30 m10

40 30 k

40 40 & 2 k

50 50 k

↓

DATA

30 ]]]

45 45 & 3 kX2=

45.

45 ]N2=

60 ] 60 kX3=

60.

nPr 0 ≤ r ≤ n ≤ 9999999999*

—— < 10100

nCr

0 ≤ r ≤ n ≤ 9999999999*

0 ≤ r ≤ 69

—— < 10100

↔

DEG, D°M’S

0°0’0.00001” ≤ | x | < 10000°

x, y → r, θ x2 + y2 < 10100

0 ≤ r < 10100

DEG: | θ | < 1010

r, θ → x, yRAD: | θ | < —– × 1010

GRAD : | θ | < — × 1010

DEG→RAD, GRAD→DEG: | x | < 10100

DRG |RAD→GRAD: | x | < — × 1098

(A+Bi)+(C+Di) | A + C | < 10100, | B + D | < 10100

(A+Bi)–(C+Di) | A – C | < 10100, | B – D | < 10100

(A+Bi)×(C+Di)(AC – BD) < 10100

(AD + BC) < 10100

AC + BD < 10100

C2 + D2

(A+Bi)÷(C+Di)BC – AD < 10100

C2 + D2

C2 + D2 ≠ 0

→DEC DEC : | x | ≤ 9999999999

→BIN BIN : 1000000000 ≤ x ≤ 1111111111

→PEN 0 ≤ x ≤ 111111111

→OCT PEN : 2222222223 ≤ x ≤ 4444444444

→HEX 0 ≤ x ≤ 2222222222

AND OCT : 4000000000 ≤ x ≤ 7777777777

OR 0 ≤ x ≤ 3777777777

XOR HEX : FDABF41C01 ≤ x ≤ FFFFFFFFFF

XNOR 0 ≤ x ≤ 2540BE3FF

BIN : 1000000000 ≤ x ≤ 1111111111

0 ≤ x ≤ 111111111

PEN : 2222222223 ≤ x ≤ 4444444444

NOT 0 ≤ x ≤ 2222222221

OCT : 4000000000 ≤ x ≤ 7777777777

0 ≤ x ≤ 3777777777

HEX : FDABF41C01 ≤ x ≤ FFFFFFFFFF

0 ≤ x ≤ 2540BE3FE

BIN : 1000000001 ≤ x ≤ 1111111111

0 ≤ x ≤ 111111111

PEN : 2222222223 ≤ x ≤ 4444444444

NEG 0 ≤ x ≤ 2222222222

OCT : 4000000001 ≤ x ≤ 7777777777

0 ≤ x ≤ 3777777777

HEX : FDABF41C01 ≤ x ≤ FFFFFFFFFF

0 ≤ x ≤ 2540BE3FF

* n, r: integer / ganze Zahlen / entier / entero / inteiro / intero /

geheel getal / egész számok / celé číslo / heltal /

kokonaisluku / ˆÂÎ˚Â / heltal / / / /

integer / bilangan bulat

m (CPLX)

(12–6i) + (7+15i) – 12 - 6 Ü+ 7 + 15 Ü-

(11+4i) = ( 11 + 4 Ü)= [x]

@≠ [y]+

@≠ [x]

6×(7–9i) ×6 *( 7 - 9 Ü)*

(–5+8i) = ( 5 ±+ 8 Ü)= [x]

222.

@≠ [y]+

606.

16×(sin30°+ 16 *(s 30 +

icos30°)÷(sin60°+ Üu 30 )/(s 60 +

icos60°)= Üu 60 )= [x]

13.85640646

@≠ [y]+

@{ 8 Ö 70 + 12 Ö 25

= [r]

18.5408873

@≠ [θ]∠

42.76427608

r1 = 8, θ1 = 70°

r2 = 12, θ2 = 25°

↓

r = ?, θ = ?°

(1 + i)@} 1 +Ü=

↓ @{ [r]

1.414213562

r = ?, θ = ?° @≠ [θ]∠

45.

@}( 2 - 3 Ü)L

(2 – 3i)2 = = [x]

–5.

@≠ [y]–

12.

1 ( 1 +Ü)@•= [x]

0.5

1 + i@≠ [y]–

0.5

CONJ(5+2i)

∑0( 5 + 2 Ü)= [x]

@≠ [y]

–

Function Dynamic range

Funktion zulässiger Bereich

Fonction Plage dynamique

Función Rango dinámico

Função Gama dinâmica

Funzioni Campi dinamici

Functie Rekencapaciteit

Függvény Megengedett számítási tartomány

Funkce Dynamický rozsah

Funktion Definitionsområde

Funktio Dynaaminen ala

îÛÌÍˆËﬂ ÑËÌ‡ÏË˜ÂÒÍËÈ ‰Ë‡Ô‡ÁÓÌ

Funktion Dynamikområde

Fungsi Julat dinamik

Fungsi Kisaran dinamis

DEG: | x | < 1010

(tan x : | x | ≠ 90 (2n–1))*

sin x, cos x,RAD: | x | < —– × 1010

tan x(tan x : | x | ≠ — (2n–1))*

GRAD: | x | < —– × 1010

(tan x : | x | ≠ 100 (2n–1))*

sin–1x

cos–1x| x | ≤ 1

tan–1x, 3¿x| x | < 10100

In x

log x10–99

≤ x < 10100

•y > 0: –10100 < x log y < 100

•y = 0: 0 < x < 10100

yx•y < 0: x = n

(0 < l x l < 1: — = 2n–1, x ≠ 0)*,

–10100 < x log | y | < 100

•y > 0: –10100 < — log y < 100 (x ≠ 0)

•y = 0: 0 < x < 10100

x¿y•y < 0: x = 2n–1

(0 < | x | < 1 : — = n, x ≠ 0)*,

–10100 < — log | y | < 100

ex–10100 < x ≤ 230.2585092

10x–10100 < x < 100

sinh x,

cosh x,

| x | ≤ 230.2585092

tanh x

sinh–1 x| x | < 1050

cosh–1 x1 ≤ x < 1050

tanh–1 x| x | < 1

x2| x | < 1050

x3| x | < 2.15443469 × 1033

¿x0 ≤ x < 10100

x–1| x | < 10100 (x ≠ 0)

n! 0 ≤ n ≤ 69*

2FEC–ªOM@ì 2FEC -

2C9E=(A) 2C9E ;

34E.

+)2000–2000 -

1901=(B) 1901 ;

6FF.

A4d.

1011 AND ª@ê 1011 †

101 = (BIN) 101 =

5A OR C3 = (HEX) @ì 5A ä C3 =

db.

NOT 10110 = @êâ 10110 =

1111101001.

(BIN)

24 XOR 4 = (OCT) @î 24 à 4 =

20.

B3 XNOR @ì B3 á

2D = (HEX) 2D =

FFFFFFFF61.

→DEC @í

–159.

o_° (→sec, →min)

12°39’18.05”ª 12 o 39 o 18.05

→[10] @_

12.65501389

123.678→[60] 123.678 @_

123°40’40.8”

3h30m45s + 3 o 30 o 45 + 6 o

6h45m36s = [60] 45 o 36 =

10°16’21.”

1234°56’12” + 1234 o 56 o 12 +

0°0’34.567” = [60] 0 o 0 o 34.567 =

1234°56’47.”

3h45m –3 o 45 - 1.69 =

1.69h = [60] @_

2°3’36.”

sin62°12’24” = [10] s 62 o 12 o 24=

0.884635235

24°→[”] 24 o°2

86’400.

1500”→[’]0 o 0 o 1500 °3

25.

{},≠

ª 6 @, 4

x = 6 →r = @{[

]

7.211102551

y = 4 θ = [°]@≠[θ]

33.69006753

@≠[

]

7.211102551

14 @, 36

r = 14 →x = @}[x]

11.32623792

θ = 36[°]y = @≠[y]

8.228993532

@≠[x]

11.32623792

V0 = 15.3m/s ª 15.3 * 10 + 2 @•*

t = 10s ß 03 * 10 L=

643.3325

V0t+ — gt2 = ?m

125yd = ?m ª 125 @¥ 5 =

114.3

∑ (k, M, G, T, m, ÌÌ

ÌÌ

Ì, n, p, f)

100m×10k= 100 ∑14*

10 ∑10=

1’000.

j”

5÷9=ANS ª”10”2 1

ANS×9= 5 / 9 =

0.6

[FIX,TAB=1] * 9 =*1

5.0

5 / 9 =@j

0.6

* 9 =*2

5.4

”13

*1 5.5555555555555×10–1×9

*2 0.6×9

∑ (SOLV)

sin x–0.5 ªsKˆ- 0.5

Start= 0 ∑0 0 ®®

30.

Start= 180 ® 180 ®®

150.

1234567890.,

CALCULATION EXAMPLES

ANWENDUNGSBEISPIELE

EXEMPLES DE CALCUL

EJEMPLOS DE CÁLCULO

EXEMPLOS DE CÁLCULO

ESEMPI DI CALCOLO

REKENVOORBEELDEN

PÉLDASZÁMÍTÁSOK

PŘÍKLADY VÝPOČTŮ

RÄKNEEXEMPEL

LASKENTAESIMERKKEJÄ

èêàåÖêõ ÇõóàëãÖçàâ

UDREGNINGSEKSEMPLER

CONTOH-CONTOH PENGHITUNGAN

CONTOH-CONTOH PERHITUNGAN

EL-520W

[]

13(5+2)= ª 3 ( 5 + 2 )=

21.

23×5+2= 3 * 5 + 2 =

17.

33×5+3×2= 3 * 5 + 3 * 2 =

21.

→1@[

21.

→2]

17.

→3]

21.

→2[

17.

”

100000÷3=

[NORM1] ª 100000 / 3 =

33’333.33333

→[FIX] ”10

33’333.33333

[TAB 2] ”2 2

33’333.33

→[SCI] ”11

3.33

1004–

→[ENG] ”12

33.33

1003–

→[NORM1] ”13

33’333.33333

3÷1000=

[NORM1] ª 3 / 1000 =

0.003

→[NORM2] ”14

10–03

→[NORM1] ”13

0.003

+-*/()±E

45+285÷3= ª 45 + 285 / 3 =

140.

18+6 =( 18 + 6 )/

15–8( 15 - 8 =

3.428571429

42×(–5)+120= 42 *± 5 + 120 =

–90.

*1 (5 ±) *1

(5×103)÷(4×10–3)= 5 E 3 / 4 E

± 3 =

1’250’000.

34+57= 34 + 57 =

91.

45+57= 45 + 57 =

102.

68×25= 68 * 25 =

1’700.

68×40= 68 * 40 =

2’720.

sutSUTVhH

Ile¡•L÷⁄™

$#!qQ%

sin60[°]= ªs 60 =

0.866025403

cos —[rad]= ”01u(

@V/ 4 )=

0.707106781

tan–11=[g] ”02@T 1 =

50.

”00

(cosh 1.5 + ª(hu 1.5 +h

sinh 1.5)2 = s 1.5 )L=

20.08553692

tanh–1— = @Ht( 5

/ 7 )=

0.895879734

ln 20 = I 20 =

2.995732274

log 50 = l 50 =

1.698970004

e3 = @e 3 =

20.08553692

101.7 = @¡ 1.7 =

50.11872336

— + — = 6 @•+ 7 @

•=

0.309523809

8–2 – 34 × 52 =8 ™± 2 - 3 ™

4 * 5 L=

–2’024.984375

(123)

—

=12 ™ 3 ™ 4

@•=

6.447419591

838 ÷=

512.

49 –4

81 = @⁄ 49 - 4 @$

81 =

27 @# 27 =

4! = 4 @!=

24.

10P3 = 10 @q 3 =

720.

5C2 =5 @Q 2 =

10.

500×25%= 500 * 25 @%

125.

120÷400=?% 120 / 400 @%

30.

500+(500×25%)= 500 + 25 @%

625.

400–(400×30%)= 400 - 30 @%

280.

•

θ = sin–1 x

θ = tan–1 xθ = cos–1 x

DEG –90 ≤ θ ≤ 90 0 ≤ θ ≤ 180

RAD – — ≤ θ ≤ —0 ≤ θ ≤ π

GRAD –100 ≤ θ ≤ 100 0 ≤ θ ≤ 200

Åè

d/dx (x4 – 0.5x3 + 6x2)ªKˆ™ 4 - 0.5 K

x=2 ˆ÷+ 6 KˆL

dx=0.00002 @Å 2 ®®

50.

x=3 ® 3 ® 0.001 ®

130.5000029

dx=0.001

∫8

2 (x2 – 5)dxªKˆL- 5

n=100 è 2 ® 8 ®®

138.

n=10 ®®® 10 ®

138.

90°→ [rad] ª 90 @g

1.570796327

→ [g] @g

100.

→ [°]@g

90.

sin–10.8 = [°]@S 0.8 =

53.13010235

→ [rad] @g

0.927295218

→ [g] @g

59.03344706

→ [°]@g

53.13010235

2π

KRO;:?≥∆˚¬

ª 8 * 2 OM

16.

24÷(8×2)= 24 /KM=

1.5

(8×2)×5= KM* 5 =

80.

ªOM

$150×3:M1150 * 3 ;

450.

+)$250:M2 =M1+250 250 ;

250.

–)M2×5% RM* 5 @%

35.

M @:RM

665.

$1=¥110 110 OY

110.

¥26,510=$? 26510 /RY=

241.

$2,750=¥? 2750 *RY=

302’500.

r=3cm (r→Y) 3 OY

πr2=? @VKYL=

28.27433388

—— = 2.4...(A) 24 /( 4 + 6 )=

2.4

3×(A)+60÷(A)= 3 *K?+ 60 /

K?=

32.2

πr2⇒F1 @VKYL

O≥

3 OY

V = ? R≥* 4 / 3 =

37.69911184

6+4=ANS ª 6 + 4 =

10.

ANS+5 + 5 =

15.

8×2=ANS 8 * 2 =

16.

ANS2L=

256.

44+37=ANS 44 + 37 =

81.

√

ANS= @⁄=

3— + — = [a—]ª 3 \ 1 \ 2 +

4 \ 3 =

→[a.xxx] \

4.833333333

→[d/c] @|

—

=@¡ 2 \ 3 =

4.641588834

(

—

)

5=7 \ 5 ™ 5 =

16807

3125

(

—

)

—

=1 \ 8 ™ 1 \ 3

—— = @⁄ 64 \ 225 =

23( 2 ™ 3 ) \

34( 3 ™ 4 ) =

1.2 1.2 \ 2.3 =

2.3

1°2’3”1 o 2 o 3 \ 2 =

0°31’1.5”

1×103

1 E 3 \ 2 E 3 =

2×103

A = 7 ª 7 OA

— =4 \KA=

1.25 + — = [a.xxx] 1.25 + 2 \ 5 =

1.65

→[a—]\

= 4—

êûîìíãâ†ä

àá

DEC(25)→BIN ª@í 25 @ê

11001.

HEX(1AC) @ì 1AC

→BIN @ê

110101100.

→PEN @û

3203.

→OCT @î

654.

→DEC @í

428.

BIN(1010–100) @ê( 1010 - 100 )

×11 = * 11 =

10010.

BIN(111)→NEG ã 111 =

1111111001.

HEX(1FF)+ @ì 1FF @î+

OCT(512)= 512 =

1511.

HEX(?) @ì

349.

t = ––––

x – x

σx

Standardization conversion formula

Standard Umrechnungsformel

Formule de conversion de standardisation

Fórmula de conversión de estandarización

Fórmula de conversão padronizada

Formula di conversione della standardizzazione

Standaardisering omzettingsformule

Standard átváltási képlet

Vzorec pro přepočet rozdělení

Omvandlingsformel för standardisering

Normituksen konversiokaava

îÓÏÛÎ‡ ÒÚ‡Ì‰‡ÚËÁÓ‚‡ÌÌÓ„Ó ÔÂÓ·‡ÁÓ‚‡ÌËﬂ

Omregningsformel for standardisering

Rumus penukaran pemiawaian

Rumus konversi standarisasi

m (2-VLE)

m20

2x + 3y = 4 2 ® 3 ® 4 ®

5x + 6y = 7 5 ® 6 ® 7

x = ? ® [x]

–1.

y = ? ® [y]

det(D) = ? ® [det(D)]

–3.

m (3-VLE)

m21

x + y – z = 9 1 ® 1 ® 1 ±® 9 ®

6x + 6y – z = 17 6 ® 6 ® 1 ±® 17 ®

14x – 7y + 2z = 42 14 ® 7 ±® 2 ® 42

x = ? ® [x]

3.238095238

y = ? ® [y]

–1.638095238

z = ? ® [z]

–7.4

det(D) = ? ® [det(D)]

105.

m (QUAD, CUBIC)

m22

3x2 + 4x – 95 = 0 3 ® 4 ®± 95

x1 = ? ®

x2 = ? ®

–6.333333333

@®

m23

5x3+4x2+3x+7=0 5 ® 4 ® 3 ® 7

x1 = ? ®

–1.233600307

x2 = ? ®

0.216800153

@≠ +

1.043018296

x3 = ? ®

0.216800153

@≠ –

1.043018296

4+6





































••••

—— =

θ1

θ2

This equipment complies with the requirements of Directive 89/336/

EEC as amended by 93/68/EEC.

Dieses Gerät entspricht den Anforderungen der EG-Richtlinie 89/336/

EWG mit Änderung 93/68/EWG.

Ce matériel répond aux exigences contenues dans la directive 89/336/

CEE modifiée par la directive 93/68/CEE.

Dit apparaat voldoet aan de eisen van de richtlijn 89/336/EEG,

gewijzigd door 93/68/EEG.

Dette udstyr overholder kravene i direktiv nr. 89/336/EEC med tillæg

nr. 93/68/EEC.

Quest’ apparecchio è conforme ai requisiti della direttiva 89/336/EEC

come emendata dalla direttiva 93/68/EEC.

      

    89/336/, ! 

"! ! "#$ !   93/68/.

Este equipamento obedece às exigências da directiva 89/336/CEE na

sua versão corrigida pela directiva 93/68/CEE.

Este aparato satisface las exigencias de la Directiva 89/336/CEE

modificada por medio de la 93/68/CEE.

Denna utrustning uppfyller kraven enligt riktlinjen 89/336/EEC så som

kompletteras av 93/68/EEC.

Dette produktet oppfyller betingelsene i direktivet 89/336/EEC i

endringen 93/68/EEC.

Tämä laite täyttää direktiivin 89/336/EEC vaatimukset, jota on

muutettu direktiivillä 93/68/EEC.

Ñ‡ÌÌÓÂ ÛÒÚÓÈÒÚ‚Ó ÒÓÓÚ‚ÂÚÒÚ‚ÛÂÚ ÚÂ·Ó‚‡ÌËﬂÏ ‰ËÂÍÚË‚˚ 89/336/

EEC Ò Û˜ÂÚÓÏ ÔÓÔ‡‚ÓÍ 93/68/EEC.

Ez a készülék megfelel a 89/336/EGK sz. EK-irányelvben és annak 93/

68/EGK sz. módosításában foglalt követelményeknek.

Tento pﬁístroj vyhovuje poÏadavkÛm smûrnice 89/336/EEC v platném

znûní 93/68/EEC.

In Europe: Nur für Deutschland/For Germany only:

Umweltschutz

Das Gerät wird durch eine Batterie mit Strom versorgt.

Um die Batterie sicher und umweltschonend zu entsorgen,

beachten Sie bitte folgende Punkte:

•Bringen Sie die leere Batterie zu Ihrer örtlichen Mülldeponie,

zum Händler oder zum Kundenservice-Zentrum zur

Wiederverwertung.

•Werfen Sie die leere Batterie niemals ins Feuer, ins Wasser

oder in den Hausmüll.

Seulement pour la France/For France only:

Protection de l’environnement

L’appareil est alimenté par pile. Afin de protéger

l’environnement, nous vous recommandons:

•d’apporter la pile usagée ou à votre revendeur ou au service

après-vente, pour recyclage.

•de ne pas jeter la pile usagée dans une source de chaleur,

dans l’eau ou dans un vide-ordures.

Endast svensk version/For Sweden only:

Miljöskydd

Denna produkt drivs av batteri.

Vid batteribyte skall följande iakttagas:

•Det förbrukade batteriet skall inlämnas till er lokala handlare

eller till kommunal miljöstation för återinssamling.

•Kasta ej batteriet i vattnet eller i hushållssoporna. Batteriet

får ej heller utsättas för öppen eld.

OPMERKING: ALLEEN VOOR NEDERLAND/

NOTE: FOR NETHERLANDS ONLY

••••













••••

225

— =

—– =

——– =

y = Σy

sy = Σy2 – ny2

n – 1

sx = Σx

– nx

n – 1

Σx = x1 + x2 + ··· + xn

Σx2 = x12 + x22 + ··· + xn2

Σxy = x1y1 + x2y2 + ··· + xnyn

Σy = y1 + y2 + ··· + yn

Σy2 = y12 + y22 + ··· + yn2

σy = Σy2 – ny2

a1x + b1y = c1

a2x + b2y = c2

a1 b1

a2 b2

D =

a1x + b1y + c1z = d1

a2x + b2y + c2z = d2

a3x + b3y + c3z = d3

a1 b1 c1

a2 b2 c2

a3 b3 c3

D =

180 π

(n-r)!

180

•Physical Constants and Metric Conversions are shown in the

tables.

•Physikalischen Konstanten und metriche Umrechnungen sind in

der Tabelle aufgelistet.

•Les constants physiques et les conversion des unités sont

indiquées sur les tableaux.

•Las constants fisicas y conversiones métricas son mostradas en

las tables.

•Constantes Fisicas e Conversões Métricas estão mostradas nas

tablelas.

•La constanti fisiche e le conversioni delle unità di misura

vengono mostrate nella tabella.

•De natuurconstanten en metrische omrekeningen staan in de

tabellen hiernaast.

•A fizikai konstansok és a metrikus átváltások a táblázatokban

találhatók.

•Fyzikální konstanty a převody do metrické soustavy jsou

uvedeny v tabulce.

•Fysikaliska konstanter och metriska omvandlingar visas i

tabellerna.

•Fysikaaliset vakiot ja metrimuunnokset näkyvät taulukoista.

•Ç Ú‡·ÎËˆ‡ı ÔÓÍ‡Á‡Ì˚ ÙËÁË˜ÂÒÍËÂ ÍÓÌÒÚ‡ÌÚ˚ Ë ÏÂÚË˜ÂÒÍËÂ

ÔÂÓ·‡ÁÓ‚‡ÌËﬂ.

•Fysiske konstanter og metriske omskrivninger vises i tabellen.

•

•Pemalar Fizik dan Pertukaran Metrik ditunjukkan di dalam

jadual.

•Konstanta Fisika dan Konversi Metrik diperlihatkan di dalam

tabel.

PHYSICAL CONSTANTS ß 01 — 52

No. SYMBOL UNIT No. SYMBOL UNIT No. SYMBOL UNIT

01 - c, c0m s–119 -

µΒ

J T–137 - eV J

02 - Gm3 kg–1 s–220 -

eJ T–138 - tK

03 - gnm s–221 -

µΝ

J T–139 - AU m

04 - mekg 22 -

pJ T–140 - pc m

05 - mpkg 23 -

nJ T–141 - M(12C) kg mol–1

06 - mnkg 24 -

µµ

J T–142 - h

J s

07 - m

kg 25 -

cm43 - EhJ

08 - lu kg 26 -

c, p m44 - G0s

09 - eC 27 -

W m–2 K–445 -

–1

10 - hJ s 28 - N

Α,

Lmol–146 - mp/me

11 - kJ K–129 - Vmm3 mol–147 - Mukg mol–1

12 -

µ0

N A–230 - RJ mol–1 K–148 -

c, n m

13 -

ε0

F m–131 - FC mol–149 - c1W m2

14 - rem 32 - RKOhm 50 - c2m K

15 -

33 - -e/meC kg–151 - Z0Ω

16 - a0m 34 - h/2mem2 s–152 - Pa

17 - R

∞

m–135 -

ps–1 T–1

18 - Φ0Wb 36 - KJHz V–1

METRIC CONVERSIONS x @¥ 1 — 44

No. UNIT No. UNIT No. UNIT

1in→cm 16 kg→lb 31 J→calIT

2cm→in 17 °F→°C32calIT→J

3ft→m18°C→°F33hp→W

4m→ft 19 gal (US)→l34 W→hp

5yd→m20l→gal (US) 35 ps→W

6m→yd 21 gal (UK)→l36 W→ps

7 mile→km 22 l→gal (UK) 37 kgf/cm2→Pa

8km→mile 23 fl oz (US)→ml38 Pa→kgf/cm2

9 n mile→m24ml→fl oz (US) 39 atm→Pa

10 m→n mile 25 fl oz (UK)→ml40 Pa→atm

11 acre→m226 ml→fl oz (UK) 41 mmHg→Pa

12 m2→acre 27 J→cal 42 Pa→mmHg

13 oz→g 28 cal→J 43 kgf·m→J

14 g→oz 29 J→cal15 44 J→kgf·m

15 lb→kg 30 cal15→J

EL-520W (TINSExxxxEHZZ)_ENGLISH_OpExam

≤

f(x) = x3–3x2+2 Kˆ™ 3 - 3 K

ˆL+ 2 @≤

x = –1 1 ±®

–2.

x = –0.5 @≤ 0.5 ±®

1.125

A2+B2@⁄(KAL+

KBL)@≤

A = 2, B = 3 2 ® 3 ®

3.605551275

A = 2, B = 5 @≤® 5 ®

5.385164807

k&~£pnzw^

¢PZWvrab©

xy≠° (→t, P(, Q(, R()

DATA

95 m10

80 95 k

80 80 k

75 k

75 75 & 3 k

75 50 k

–

x=R~

75.71428571

σx=Rp

12.37179148

n=Rn

Σx=Rz

530.

Σx2=Rw

41’200.

sx=R£

13.3630621

sx2=L=

178.5714286

(95––

x) ×10+50= ( 95 -K~)

sx/K£* 10

+ 50 =

64.43210706

x = 60 → P(t) ? °1 60 °0)=

0.102012

t = –0.5 → R(t) ? °3 0.5 ±)=

0.691463

xy m11

2 5 2 & 5 k

2 5 k

12 24 12 & 24 k

21 40 21 & 40 & 3 k

21 40 15 & 25 k

21 40 Ra

1.050261097

15 25 Rb

1.826044386

0.995176343

R£

8.541216597

R¢

15.67223812

x=3 → y′=? 3 @y

6.528394256

y=46 → x′=? 46 @x

24.61590706

xy m12

12 41 12 & 41 k

8 13 8 & 13 k

5 2 5 & 2 k

23 200 23 & 200 k

15 71 15 & 71 k

5.357506761

–3.120289663

R©

0.503334057

x=10 → y′=? 10 @y

24.4880159

y=22 → x′=? 22 @x

9.63201409

@≠

–3.432772026

@≠

9.63201409

k[]

DATA

30 m10

40 30 k

40 40 & 2 k

50 50 k

↓

DATA

30 ]]]

45 45 & 3 kX2=

45.

45 ]N2=

60 ] 60 kX3=

60.

nPr 0 ≤ r ≤ n ≤ 9999999999*

—— < 10100

nCr

0 ≤ r ≤ n ≤ 9999999999*

0 ≤ r ≤ 69

—— < 10100

↔

DEG, D°M’S

0°0’0.00001” ≤ | x | < 10000°

x, y → r, θ x2 + y2 < 10100

0 ≤ r < 10100

DEG: | θ | < 1010

r, θ → x, yRAD: | θ | < —– × 1010

GRAD : | θ | < — × 1010

DEG→RAD, GRAD→DEG: | x | < 10100

DRG |RAD→GRAD: | x | < — × 1098

(A+Bi)+(C+Di) | A + C | < 10100, | B + D | < 10100

(A+Bi)–(C+Di) | A – C | < 10100, | B – D | < 10100

(A+Bi)×(C+Di)(AC – BD) < 10100

(AD + BC) < 10100

AC + BD < 10100

C2 + D2

(A+Bi)÷(C+Di)BC – AD < 10100

C2 + D2

C2 + D2 ≠ 0

→DEC DEC : | x | ≤ 9999999999

→BIN BIN : 1000000000 ≤ x ≤ 1111111111

→PEN 0 ≤ x ≤ 111111111

→OCT PEN : 2222222223 ≤ x ≤ 4444444444

→HEX 0 ≤ x ≤ 2222222222

AND OCT : 4000000000 ≤ x ≤ 7777777777

OR 0 ≤ x ≤ 3777777777

XOR HEX : FDABF41C01 ≤ x ≤ FFFFFFFFFF

XNOR 0 ≤ x ≤ 2540BE3FF

BIN : 1000000000 ≤ x ≤ 1111111111

0 ≤ x ≤ 111111111

PEN : 2222222223 ≤ x ≤ 4444444444

NOT 0 ≤ x ≤ 2222222221

OCT : 4000000000 ≤ x ≤ 7777777777

0 ≤ x ≤ 3777777777

HEX : FDABF41C01 ≤ x ≤ FFFFFFFFFF

0 ≤ x ≤ 2540BE3FE

BIN : 1000000001 ≤ x ≤ 1111111111

0 ≤ x ≤ 111111111

PEN : 2222222223 ≤ x ≤ 4444444444

NEG 0 ≤ x ≤ 2222222222

OCT : 4000000001 ≤ x ≤ 7777777777

0 ≤ x ≤ 3777777777

HEX : FDABF41C01 ≤ x ≤ FFFFFFFFFF

0 ≤ x ≤ 2540BE3FF

* n, r: integer / ganze Zahlen / entier / entero / inteiro / intero /

geheel getal / egész számok / celé číslo / heltal /

kokonaisluku / ˆÂÎ˚Â / heltal / / / /

integer / bilangan bulat

m (CPLX)

(12–6i) + (7+15i) – 12 - 6 Ü+ 7 + 15 Ü-

(11+4i) = ( 11 + 4 Ü)= [x]

@≠ [y]+

@≠ [x]

6×(7–9i) ×6 *( 7 - 9 Ü)*

(–5+8i) = ( 5 ±+ 8 Ü)= [x]

222.

@≠ [y]+

606.

16×(sin30°+ 16 *(s 30 +

icos30°)÷(sin60°+ Üu 30 )/(s 60 +

icos60°)= Üu 60 )= [x]

13.85640646

@≠ [y]+

@{ 8 Ö 70 + 12 Ö 25

= [r]

18.5408873

@≠ [θ]∠

42.76427608

r1 = 8, θ1 = 70°

r2 = 12, θ2 = 25°

↓

r = ?, θ = ?°

(1 + i)@} 1 +Ü=

↓ @{ [r]

1.414213562

r = ?, θ = ?° @≠ [θ]∠

45.

@}( 2 - 3 Ü)L

(2 – 3i)2 = = [x]

–5.

@≠ [y]–

12.

1 ( 1 +Ü)@•= [x]

0.5

1 + i@≠ [y]–

0.5

CONJ(5+2i)

∑0( 5 + 2 Ü)= [x]

@≠ [y]

–

Function Dynamic range

Funktion zulässiger Bereich

Fonction Plage dynamique

Función Rango dinámico

Função Gama dinâmica

Funzioni Campi dinamici

Functie Rekencapaciteit

Függvény Megengedett számítási tartomány

Funkce Dynamický rozsah

Funktion Definitionsområde

Funktio Dynaaminen ala

îÛÌÍˆËﬂ ÑËÌ‡ÏË˜ÂÒÍËÈ ‰Ë‡Ô‡ÁÓÌ

Funktion Dynamikområde

Fungsi Julat dinamik

Fungsi Kisaran dinamis

DEG: | x | < 1010

(tan x : | x | ≠ 90 (2n–1))*

sin x, cos x,RAD: | x | < —– × 1010

tan x(tan x : | x | ≠ — (2n–1))*

GRAD: | x | < —– × 1010

(tan x : | x | ≠ 100 (2n–1))*

sin–1x

cos–1x| x | ≤ 1

tan–1x, 3¿x| x | < 10100

In x

log x10–99

≤ x < 10100

•y > 0: –10100 < x log y < 100

•y = 0: 0 < x < 10100

yx•y < 0: x = n

(0 < l x l < 1: — = 2n–1, x ≠ 0)*,

–10100 < x log | y | < 100

•y > 0: –10100 < — log y < 100 (x ≠ 0)

•y = 0: 0 < x < 10100

x¿y•y < 0: x = 2n–1

(0 < | x | < 1 : — = n, x ≠ 0)*,

–10100 < — log | y | < 100

ex–10100 < x ≤ 230.2585092

10x–10100 < x < 100

sinh x,

cosh x,

| x | ≤ 230.2585092

tanh x

sinh–1 x| x | < 1050

cosh–1 x1 ≤ x < 1050

tanh–1 x| x | < 1

x2| x | < 1050

x3| x | < 2.15443469 × 1033

¿x0 ≤ x < 10100

x–1| x | < 10100 (x ≠ 0)

n! 0 ≤ n ≤ 69*

2FEC–ªOM@ì 2FEC -

2C9E=(A) 2C9E ;

34E.

+)2000–2000 -

1901=(B) 1901 ;

6FF.

A4d.

1011 AND ª@ê 1011 †

101 = (BIN) 101 =

5A OR C3 = (HEX) @ì 5A ä C3 =

db.

NOT 10110 = @êâ 10110 =

1111101001.

(BIN)

24 XOR 4 = (OCT) @î 24 à 4 =

20.

B3 XNOR @ì B3 á

2D = (HEX) 2D =

FFFFFFFF61.

→DEC @í

–159.

o_° (→sec, →min)

12°39’18.05”ª 12 o 39 o 18.05

→[10] @_

12.65501389

123.678→[60] 123.678 @_

123°40’40.8”

3h30m45s + 3 o 30 o 45 + 6 o

6h45m36s = [60] 45 o 36 =

10°16’21.”

1234°56’12” + 1234 o 56 o 12 +

0°0’34.567” = [60] 0 o 0 o 34.567 =

1234°56’47.”

3h45m –3 o 45 - 1.69 =

1.69h = [60] @_

2°3’36.”

sin62°12’24” = [10] s 62 o 12 o 24=

0.884635235

24°→[”] 24 o°2

86’400.

1500”→[’]0 o 0 o 1500 °3

25.

{},≠

ª 6 @, 4

x = 6 →r = @{[

]

7.211102551

y = 4 θ = [°]@≠[θ]

33.69006753

@≠[

]

7.211102551

14 @, 36

r = 14 →x = @}[x]

11.32623792

θ = 36[°]y = @≠[y]

8.228993532

@≠[x]

11.32623792

V0 = 15.3m/s ª 15.3 * 10 + 2 @•*

t = 10s ß 03 * 10 L=

643.3325

V0t+ — gt2 = ?m

125yd = ?m ª 125 @¥ 5 =

114.3

∑ (k, M, G, T, m, ÌÌ

ÌÌ

Ì, n, p, f)

100m×10k= 100 ∑14*

10 ∑10=

1’000.

j”

5÷9=ANS ª”10”2 1

ANS×9= 5 / 9 =

0.6

[FIX,TAB=1] * 9 =*1

5.0

5 / 9 =@j

0.6

* 9 =*2

5.4

”13

*1 5.5555555555555×10–1×9

*2 0.6×9

∑ (SOLV)

sin x–0.5 ªsKˆ- 0.5

Start= 0 ∑0 0 ®®

30.

Start= 180 ® 180 ®®

150.

1234567890.,

CALCULATION EXAMPLES

ANWENDUNGSBEISPIELE

EXEMPLES DE CALCUL

EJEMPLOS DE CÁLCULO

EXEMPLOS DE CÁLCULO

ESEMPI DI CALCOLO

REKENVOORBEELDEN

PÉLDASZÁMÍTÁSOK

PŘÍKLADY VÝPOČTŮ

RÄKNEEXEMPEL

LASKENTAESIMERKKEJÄ

èêàåÖêõ ÇõóàëãÖçàâ

UDREGNINGSEKSEMPLER

CONTOH-CONTOH PENGHITUNGAN

CONTOH-CONTOH PERHITUNGAN

EL-520W

[]

13(5+2)= ª 3 ( 5 + 2 )=

21.

23×5+2= 3 * 5 + 2 =

17.

33×5+3×2= 3 * 5 + 3 * 2 =

21.

→1@[

21.

→2]

17.

→3]

21.

→2[

17.

”

100000÷3=

[NORM1] ª 100000 / 3 =

33’333.33333

→[FIX] ”10

33’333.33333

[TAB 2] ”2 2

33’333.33

→[SCI] ”11

3.33

1004–

→[ENG] ”12

33.33

1003–

→[NORM1] ”13

33’333.33333

3÷1000=

[NORM1] ª 3 / 1000 =

0.003

→[NORM2] ”14

10–03

→[NORM1] ”13

0.003

+-*/()±E

45+285÷3= ª 45 + 285 / 3 =

140.

18+6 =( 18 + 6 )/

15–8( 15 - 8 =

3.428571429

42×(–5)+120= 42 *± 5 + 120 =

–90.

*1 (5 ±) *1

(5×103)÷(4×10–3)= 5 E 3 / 4 E

± 3 =

1’250’000.

34+57= 34 + 57 =

91.

45+57= 45 + 57 =

102.

68×25= 68 * 25 =

1’700.

68×40= 68 * 40 =

2’720.

sutSUTVhH

Ile¡•L÷⁄™

$#!qQ%

sin60[°]= ªs 60 =

0.866025403

cos —[rad]= ”01u(

@V/ 4 )=

0.707106781

tan–11=[g] ”02@T 1 =

50.

”00

(cosh 1.5 + ª(hu 1.5 +h

sinh 1.5)2 = s 1.5 )L=

20.08553692

tanh–1— = @Ht( 5

/ 7 )=

0.895879734

ln 20 = I 20 =

2.995732274

log 50 = l 50 =

1.698970004

e3 = @e 3 =

20.08553692

101.7 = @¡ 1.7 =

50.11872336

— + — = 6 @•+ 7 @

•=

0.309523809

8–2 – 34 × 52 =8 ™± 2 - 3 ™

4 * 5 L=

–2’024.984375

(123)

—

=12 ™ 3 ™ 4

@•=

6.447419591

838 ÷=

512.

49 –4

81 = @⁄ 49 - 4 @$

81 =

27 @# 27 =

4! = 4 @!=

24.

10P3 = 10 @q 3 =

720.

5C2 =5 @Q 2 =

10.

500×25%= 500 * 25 @%

125.

120÷400=?% 120 / 400 @%

30.

500+(500×25%)= 500 + 25 @%

625.

400–(400×30%)= 400 - 30 @%

280.

•

θ = sin–1 x

θ = tan–1 xθ = cos–1 x

DEG –90 ≤ θ ≤ 90 0 ≤ θ ≤ 180

RAD – — ≤ θ ≤ —0 ≤ θ ≤ π

GRAD –100 ≤ θ ≤ 100 0 ≤ θ ≤ 200

Åè

d/dx (x4 – 0.5x3 + 6x2)ªKˆ™ 4 - 0.5 K

x=2 ˆ÷+ 6 KˆL

dx=0.00002 @Å 2 ®®

50.

x=3 ® 3 ® 0.001 ®

130.5000029

dx=0.001

∫8

2 (x2 – 5)dxªKˆL- 5

n=100 è 2 ® 8 ®®

138.

n=10 ®®® 10 ®

138.

90°→ [rad] ª 90 @g

1.570796327

→ [g] @g

100.

→ [°]@g

90.

sin–10.8 = [°]@S 0.8 =

53.13010235

→ [rad] @g

0.927295218

→ [g] @g

59.03344706

→ [°]@g

53.13010235

2π

KRO;:?≥∆˚¬

ª 8 * 2 OM

16.

24÷(8×2)= 24 /KM=

1.5

(8×2)×5= KM* 5 =

80.

ªOM

$150×3:M1150 * 3 ;

450.

+)$250:M2 =M1+250 250 ;

250.

–)M2×5% RM* 5 @%

35.

M @:RM

665.

$1=¥110 110 OY

110.

¥26,510=$? 26510 /RY=

241.

$2,750=¥? 2750 *RY=

302’500.

r=3cm (r→Y) 3 OY

πr2=? @VKYL=

28.27433388

—— = 2.4...(A) 24 /( 4 + 6 )=

2.4

3×(A)+60÷(A)= 3 *K?+ 60 /

K?=

32.2

πr2⇒F1 @VKYL

O≥

3 OY

V = ? R≥* 4 / 3 =

37.69911184

6+4=ANS ª 6 + 4 =

10.

ANS+5 + 5 =

15.

8×2=ANS 8 * 2 =

16.

ANS2L=

256.

44+37=ANS 44 + 37 =

81.

√

ANS= @⁄=

3— + — = [a—]ª 3 \ 1 \ 2 +

4 \ 3 =

→[a.xxx] \

4.833333333

→[d/c] @|

—

=@¡ 2 \ 3 =

4.641588834

(

—

)

5=7 \ 5 ™ 5 =

16807

3125

(

—

)

—

=1 \ 8 ™ 1 \ 3

—— = @⁄ 64 \ 225 =

23( 2 ™ 3 ) \

34( 3 ™ 4 ) =

1.2 1.2 \ 2.3 =

2.3

1°2’3”1 o 2 o 3 \ 2 =

0°31’1.5”

1×103

1 E 3 \ 2 E 3 =

2×103

A = 7 ª 7 OA

— =4 \KA=

1.25 + — = [a.xxx] 1.25 + 2 \ 5 =

1.65

→[a—]\

= 4—

êûîìíãâ†ä

àá

DEC(25)→BIN ª@í 25 @ê

11001.

HEX(1AC) @ì 1AC

→BIN @ê

110101100.

→PEN @û

3203.

→OCT @î

654.

→DEC @í

428.

BIN(1010–100) @ê( 1010 - 100 )

×11 = * 11 =

10010.

BIN(111)→NEG ã 111 =

1111111001.

HEX(1FF)+ @ì 1FF @î+

OCT(512)= 512 =

1511.

HEX(?) @ì

349.

t = ––––

x – x

σx

Standardization conversion formula

Standard Umrechnungsformel

Formule de conversion de standardisation

Fórmula de conversión de estandarización

Fórmula de conversão padronizada

Formula di conversione della standardizzazione

Standaardisering omzettingsformule

Standard átváltási képlet

Vzorec pro přepočet rozdělení

Omvandlingsformel för standardisering

Normituksen konversiokaava

îÓÏÛÎ‡ ÒÚ‡Ì‰‡ÚËÁÓ‚‡ÌÌÓ„Ó ÔÂÓ·‡ÁÓ‚‡ÌËﬂ

Omregningsformel for standardisering

Rumus penukaran pemiawaian

Rumus konversi standarisasi

m (2-VLE)

m20

2x + 3y = 4 2 ® 3 ® 4 ®

5x + 6y = 7 5 ® 6 ® 7

x = ? ® [x]

–1.

y = ? ® [y]

det(D) = ? ® [det(D)]

–3.

m (3-VLE)

m21

x + y – z = 9 1 ® 1 ® 1 ±® 9 ®

6x + 6y – z = 17 6 ® 6 ® 1 ±® 17 ®

14x – 7y + 2z = 42 14 ® 7 ±® 2 ® 42

x = ? ® [x]

3.238095238

y = ? ® [y]

–1.638095238

z = ? ® [z]

–7.4

det(D) = ? ® [det(D)]

105.

m (QUAD, CUBIC)

m22

3x2 + 4x – 95 = 0 3 ® 4 ®± 95

x1 = ? ®

x2 = ? ®

–6.333333333

@®

m23

5x3+4x2+3x+7=0 5 ® 4 ® 3 ® 7

x1 = ? ®

–1.233600307

x2 = ? ®

0.216800153

@≠ +

1.043018296

x3 = ? ®

0.216800153

@≠ –

1.043018296

4+6





































••••

—— =

θ1

θ2

This equipment complies with the requirements of Directive 89/336/

EEC as amended by 93/68/EEC.

Dieses Gerät entspricht den Anforderungen der EG-Richtlinie 89/336/

EWG mit Änderung 93/68/EWG.

Ce matériel répond aux exigences contenues dans la directive 89/336/

CEE modifiée par la directive 93/68/CEE.

Dit apparaat voldoet aan de eisen van de richtlijn 89/336/EEG,

gewijzigd door 93/68/EEG.

Dette udstyr overholder kravene i direktiv nr. 89/336/EEC med tillæg

nr. 93/68/EEC.

Quest’ apparecchio è conforme ai requisiti della direttiva 89/336/EEC

come emendata dalla direttiva 93/68/EEC.

      

    89/336/, ! 

"! ! "#$ !   93/68/.

Este equipamento obedece às exigências da directiva 89/336/CEE na

sua versão corrigida pela directiva 93/68/CEE.

Este aparato satisface las exigencias de la Directiva 89/336/CEE

modificada por medio de la 93/68/CEE.

Denna utrustning uppfyller kraven enligt riktlinjen 89/336/EEC så som

kompletteras av 93/68/EEC.

Dette produktet oppfyller betingelsene i direktivet 89/336/EEC i

endringen 93/68/EEC.

Tämä laite täyttää direktiivin 89/336/EEC vaatimukset, jota on

muutettu direktiivillä 93/68/EEC.

Ñ‡ÌÌÓÂ ÛÒÚÓÈÒÚ‚Ó ÒÓÓÚ‚ÂÚÒÚ‚ÛÂÚ ÚÂ·Ó‚‡ÌËﬂÏ ‰ËÂÍÚË‚˚ 89/336/

EEC Ò Û˜ÂÚÓÏ ÔÓÔ‡‚ÓÍ 93/68/EEC.

Ez a készülék megfelel a 89/336/EGK sz. EK-irányelvben és annak 93/

68/EGK sz. módosításában foglalt követelményeknek.

Tento pﬁístroj vyhovuje poÏadavkÛm smûrnice 89/336/EEC v platném

znûní 93/68/EEC.

In Europe: Nur für Deutschland/For Germany only:

Umweltschutz

Das Gerät wird durch eine Batterie mit Strom versorgt.

Um die Batterie sicher und umweltschonend zu entsorgen,

beachten Sie bitte folgende Punkte:

•Bringen Sie die leere Batterie zu Ihrer örtlichen Mülldeponie,

zum Händler oder zum Kundenservice-Zentrum zur

Wiederverwertung.

•Werfen Sie die leere Batterie niemals ins Feuer, ins Wasser

oder in den Hausmüll.

Seulement pour la France/For France only:

Protection de l’environnement

L’appareil est alimenté par pile. Afin de protéger

l’environnement, nous vous recommandons:

•d’apporter la pile usagée ou à votre revendeur ou au service

après-vente, pour recyclage.

•de ne pas jeter la pile usagée dans une source de chaleur,

dans l’eau ou dans un vide-ordures.

Endast svensk version/For Sweden only:

Miljöskydd

Denna produkt drivs av batteri.

Vid batteribyte skall följande iakttagas:

•Det förbrukade batteriet skall inlämnas till er lokala handlare

eller till kommunal miljöstation för återinssamling.

•Kasta ej batteriet i vattnet eller i hushållssoporna. Batteriet

får ej heller utsättas för öppen eld.

OPMERKING: ALLEEN VOOR NEDERLAND/

NOTE: FOR NETHERLANDS ONLY

••••













••••

225

— =

—– =

——– =

x = Σx

y = Σy

sy = Σy2 – ny2

n – 1

sx = Σx

– nx

n – 1

Σx = x1 + x2 + ··· + xn

Σx2 = x12 + x22 + ··· + xn2

Σxy = x1y1 + x2y2 + ··· + xnyn

Σy = y1 + y2 + ··· + yn

Σy2 = y12 + y22 + ··· + yn2

σy = Σy2 – ny2

σx = Σx

– nx

a1x + b1y = c1

a2x + b2y = c2

a1 b1

a2 b2

D =

a1x + b1y + c1z = d1

a2x + b2y + c2z = d2

a3x + b3y + c3z = d3

a1 b1 c1

a2 b2 c2

a3 b3 c3

D =

180 π

(n-r)!

180

•Physical Constants and Metric Conversions are shown in the

tables.

•Physikalischen Konstanten und metriche Umrechnungen sind in

der Tabelle aufgelistet.

•Les constants physiques et les conversion des unités sont

indiquées sur les tableaux.

•Las constants fisicas y conversiones métricas son mostradas en

las tables.

•Constantes Fisicas e Conversões Métricas estão mostradas nas

tablelas.

•La constanti fisiche e le conversioni delle unità di misura

vengono mostrate nella tabella.

•De natuurconstanten en metrische omrekeningen staan in de

tabellen hiernaast.

•A fizikai konstansok és a metrikus átváltások a táblázatokban

találhatók.

•Fyzikální konstanty a převody do metrické soustavy jsou

uvedeny v tabulce.

•Fysikaliska konstanter och metriska omvandlingar visas i

tabellerna.

•Fysikaaliset vakiot ja metrimuunnokset näkyvät taulukoista.

•Ç Ú‡·ÎËˆ‡ı ÔÓÍ‡Á‡Ì˚ ÙËÁË˜ÂÒÍËÂ ÍÓÌÒÚ‡ÌÚ˚ Ë ÏÂÚË˜ÂÒÍËÂ

ÔÂÓ·‡ÁÓ‚‡ÌËﬂ.

•Fysiske konstanter og metriske omskrivninger vises i tabellen.

•

•Pemalar Fizik dan Pertukaran Metrik ditunjukkan di dalam

jadual.

•Konstanta Fisika dan Konversi Metrik diperlihatkan di dalam

tabel.

PHYSICAL CONSTANTS ß 01 — 52

No. SYMBOL UNIT No. SYMBOL UNIT No. SYMBOL UNIT

01 - c, c0m s–119 -

µΒ

J T–137 - eV J

02 - Gm3 kg–1 s–220 -

eJ T–138 - tK

03 - gnm s–221 -

µΝ

J T–139 - AU m

04 - mekg 22 -

pJ T–140 - pc m

05 - mpkg 23 -

nJ T–141 - M(12C) kg mol–1

06 - mnkg 24 -

µµ

J T–142 - h

J s

07 - m

kg 25 -

cm43 - EhJ

08 - lu kg 26 -

c, p m44 - G0s

09 - eC 27 -

W m–2 K–445 -

–1

10 - hJ s 28 - N

Α,

Lmol–146 - mp/me

11 - kJ K–129 - Vmm3 mol–147 - Mukg mol–1

12 -

µ0

N A–230 - RJ mol–1 K–148 -

c, n m

13 -

ε0

F m–131 - FC mol–149 - c1W m2

14 - rem 32 - RKOhm 50 - c2m K

15 -

33 - -e/meC kg–151 - Z0Ω

16 - a0m 34 - h/2mem2 s–152 - Pa

17 - R

∞

m–135 -

ps–1 T–1

18 - Φ0Wb 36 - KJHz V–1

METRIC CONVERSIONS x @¥ 1 — 44

No. UNIT No. UNIT No. UNIT

1in→cm 16 kg→lb 31 J→calIT

2cm→in 17 °F→°C32calIT→J

3ft→m18°C→°F33hp→W

4m→ft 19 gal (US)→l34 W→hp

5yd→m20l→gal (US) 35 ps→W

6m→yd 21 gal (UK)→l36 W→ps

7 mile→km 22 l→gal (UK) 37 kgf/cm2→Pa

8km→mile 23 fl oz (US)→ml38 Pa→kgf/cm2

9 n mile→m24ml→fl oz (US) 39 atm→Pa

10 m→n mile 25 fl oz (UK)→ml40 Pa→atm

11 acre→m226 ml→fl oz (UK) 41 mmHg→Pa

12 m2→acre 27 J→cal 42 Pa→mmHg

13 oz→g 28 cal→J 43 kgf·m→J

14 g→oz 29 J→cal15 44 J→kgf·m

15 lb→kg 30 cal15→J

≤

f(x) = x3–3x2+2 Kˆ™ 3 - 3 K

ˆL+ 2 @≤

x = –1 1 ±®

–2.

x = –0.5 @≤ 0.5 ±®

1.125

A2+B2@⁄(KAL+

KBL)@≤

A = 2, B = 3 2 ® 3 ®

3.605551275

A = 2, B = 5 @≤® 5 ®

5.385164807

k&~£pnzw^

¢PZWvrab©

xy≠° (→t, P(, Q(, R()

DATA

95 m10

80 95 k

80 80 k

75 k

75 75 & 3 k

75 50 k

–

x=R~

75.71428571

σx=Rp

12.37179148

n=Rn

Σx=Rz

530.

Σx2=Rw

41’200.

sx=R£

13.3630621

sx2=L=

178.5714286

(95––

x) ×10+50= ( 95 -K~)

sx/K£* 10

+ 50 =

64.43210706

x = 60 → P(t) ? °1 60 °0)=

0.102012

t = –0.5 → R(t) ? °3 0.5 ±)=

0.691463

xy m11

2 5 2 & 5 k

2 5 k

12 24 12 & 24 k

21 40 21 & 40 & 3 k

21 40 15 & 25 k

21 40 Ra

1.050261097

15 25 Rb

1.826044386

0.995176343

R£

8.541216597

R¢

15.67223812

x=3 → y′=? 3 @y

6.528394256

y=46 → x′=? 46 @x

24.61590706

xy m12

12 41 12 & 41 k

8 13 8 & 13 k

5 2 5 & 2 k

23 200 23 & 200 k

15 71 15 & 71 k

5.357506761

–3.120289663

R©

0.503334057

x=10 → y′=? 10 @y

24.4880159

y=22 → x′=? 22 @x

9.63201409

@≠

–3.432772026

@≠

9.63201409

k[]

DATA

30 m10

40 30 k

40 40 & 2 k

50 50 k

↓

DATA

30 ]]]

45 45 & 3 kX2=

45.

45 ]N2=

60 ] 60 kX3=

60.

nPr 0 ≤ r ≤ n ≤ 9999999999*

—— < 10100

nCr

0 ≤ r ≤ n ≤ 9999999999*

0 ≤ r ≤ 69

—— < 10100

↔

DEG, D°M’S

0°0’0.00001” ≤ | x | < 10000°

x, y → r, θ x2 + y2 < 10100

0 ≤ r < 10100

DEG: | θ | < 1010

r, θ → x, yRAD: | θ | < —– × 1010

GRAD : | θ | < — × 1010

DEG→RAD, GRAD→DEG: | x | < 10100

DRG |RAD→GRAD: | x | < — × 1098

(A+Bi)+(C+Di) | A + C | < 10100, | B + D | < 10100

(A+Bi)–(C+Di) | A – C | < 10100, | B – D | < 10100

(A+Bi)×(C+Di)(AC – BD) < 10100

(AD + BC) < 10100

AC + BD < 10100

C2 + D2

(A+Bi)÷(C+Di)BC – AD < 10100

C2 + D2

C2 + D2 ≠ 0

→DEC DEC : | x | ≤ 9999999999

→BIN BIN : 1000000000 ≤ x ≤ 1111111111

→PEN 0 ≤ x ≤ 111111111

→OCT PEN : 2222222223 ≤ x ≤ 4444444444

→HEX 0 ≤ x ≤ 2222222222

AND OCT : 4000000000 ≤ x ≤ 7777777777

OR 0 ≤ x ≤ 3777777777

XOR HEX : FDABF41C01 ≤ x ≤ FFFFFFFFFF

XNOR 0 ≤ x ≤ 2540BE3FF

BIN : 1000000000 ≤ x ≤ 1111111111

0 ≤ x ≤ 111111111

PEN : 2222222223 ≤ x ≤ 4444444444

NOT 0 ≤ x ≤ 2222222221

OCT : 4000000000 ≤ x ≤ 7777777777

0 ≤ x ≤ 3777777777

HEX : FDABF41C01 ≤ x ≤ FFFFFFFFFF

0 ≤ x ≤ 2540BE3FE

BIN : 1000000001 ≤ x ≤ 1111111111

0 ≤ x ≤ 111111111

PEN : 2222222223 ≤ x ≤ 4444444444

NEG 0 ≤ x ≤ 2222222222

OCT : 4000000001 ≤ x ≤ 7777777777

0 ≤ x ≤ 3777777777

HEX : FDABF41C01 ≤ x ≤ FFFFFFFFFF

0 ≤ x ≤ 2540BE3FF

* n, r: integer / ganze Zahlen / entier / entero / inteiro / intero /

geheel getal / egész számok / celé číslo / heltal /

kokonaisluku / ˆÂÎ˚Â / heltal / / / /

integer / bilangan bulat

m (CPLX)

(12–6i) + (7+15i) – 12 - 6 Ü+ 7 + 15 Ü-

(11+4i) = ( 11 + 4 Ü)= [x]

@≠ [y]+

@≠ [x]

6×(7–9i) ×6 *( 7 - 9 Ü)*

(–5+8i) = ( 5 ±+ 8 Ü)= [x]

222.

@≠ [y]+

606.

16×(sin30°+ 16 *(s 30 +

icos30°)÷(sin60°+ Üu 30 )/(s 60 +

icos60°)= Üu 60 )= [x]

13.85640646

@≠ [y]+

@{ 8 Ö 70 + 12 Ö 25

= [r]

18.5408873

@≠ [θ]∠

42.76427608

r1 = 8, θ1 = 70°

r2 = 12, θ2 = 25°

↓

r = ?, θ = ?°

(1 + i)@} 1 +Ü=

↓ @{ [r]

1.414213562

r = ?, θ = ?° @≠ [θ]∠

45.

@}( 2 - 3 Ü)L

(2 – 3i)2 = = [x]

–5.

@≠ [y]–

12.

1 ( 1 +Ü)@•= [x]

0.5

1 + i@≠ [y]–

0.5

CONJ(5+2i)

∑0( 5 + 2 Ü)= [x]

@≠ [y]

–

Function Dynamic range

Funktion zulässiger Bereich

Fonction Plage dynamique

Función Rango dinámico

Função Gama dinâmica

Funzioni Campi dinamici

Functie Rekencapaciteit

Függvény Megengedett számítási tartomány

Funkce Dynamický rozsah

Funktion Definitionsområde

Funktio Dynaaminen ala

îÛÌÍˆËﬂ ÑËÌ‡ÏË˜ÂÒÍËÈ ‰Ë‡Ô‡ÁÓÌ

Funktion Dynamikområde

Fungsi Julat dinamik

Fungsi Kisaran dinamis

DEG: | x | < 1010

(tan x : | x | ≠ 90 (2n–1))*

sin x, cos x,RAD: | x | < —– × 1010

tan x(tan x : | x | ≠ — (2n–1))*

GRAD: | x | < —– × 1010

(tan x : | x | ≠ 100 (2n–1))*

sin–1x

cos–1x| x | ≤ 1

tan–1x, 3¿x| x | < 10100

In x

log x10–99

≤ x < 10100

•y > 0: –10100 < x log y < 100

•y = 0: 0 < x < 10100

yx•y < 0: x = n

(0 < l x l < 1: — = 2n–1, x ≠ 0)*,

–10100 < x log | y | < 100

•y > 0: –10100 < — log y < 100 (x ≠ 0)

•y = 0: 0 < x < 10100

x¿y•y < 0: x = 2n–1

(0 < | x | < 1 : — = n, x ≠ 0)*,

–10100 < — log | y | < 100

ex–10100 < x ≤ 230.2585092

10x–10100 < x < 100

sinh x,

cosh x,

| x | ≤ 230.2585092

tanh x

sinh–1 x| x | < 1050

cosh–1 x1 ≤ x < 1050

tanh–1 x| x | < 1

x2| x | < 1050

x3| x | < 2.15443469 × 1033

¿x0 ≤ x < 10100

x–1| x | < 10100 (x ≠ 0)

n! 0 ≤ n ≤ 69*

2FEC–ªOM@ì 2FEC -

2C9E=(A) 2C9E ;

34E.

+)2000–2000 -

1901=(B) 1901 ;

6FF.

A4d.

1011 AND ª@ê 1011 †

101 = (BIN) 101 =

5A OR C3 = (HEX) @ì 5A ä C3 =

db.

NOT 10110 = @êâ 10110 =

1111101001.

(BIN)

24 XOR 4 = (OCT) @î 24 à 4 =

20.

B3 XNOR @ì B3 á

2D = (HEX) 2D =

FFFFFFFF61.

→DEC @í

–159.

o_° (→sec, →min)

12°39’18.05”ª 12 o 39 o 18.05

→[10] @_

12.65501389

123.678→[60] 123.678 @_

123°40’40.8”

3h30m45s + 3 o 30 o 45 + 6 o

6h45m36s = [60] 45 o 36 =

10°16’21.”

1234°56’12” + 1234 o 56 o 12 +

0°0’34.567” = [60] 0 o 0 o 34.567 =

1234°56’47.”

3h45m –3 o 45 - 1.69 =

1.69h = [60] @_

2°3’36.”

sin62°12’24” = [10] s 62 o 12 o 24=

0.884635235

24°→[”] 24 o°2

86’400.

1500”→[’]0 o 0 o 1500 °3

25.

{},≠

ª 6 @, 4

x = 6 →r = @{[

]

7.211102551

y = 4 θ = [°]@≠[θ]

33.69006753

@≠[

]

7.211102551

14 @, 36

r = 14 →x = @}[x]

11.32623792

θ = 36[°]y = @≠[y]

8.228993532

@≠[x]

11.32623792

V0 = 15.3m/s ª 15.3 * 10 + 2 @•*

t = 10s ß 03 * 10 L=

643.3325

V0t+ — gt2 = ?m

125yd = ?m ª 125 @¥ 5 =

114.3

∑ (k, M, G, T, m, ÌÌ

ÌÌ

Ì, n, p, f)

100m×10k= 100 ∑14*

10 ∑10=

1’000.

j”

5÷9=ANS ª”10”2 1

ANS×9= 5 / 9 =

0.6

[FIX,TAB=1] * 9 =*1

5.0

5 / 9 =@j

0.6

* 9 =*2

5.4

”13

*1 5.5555555555555×10–1×9

*2 0.6×9

∑ (SOLV)

sin x–0.5 ªsKˆ- 0.5

Start= 0 ∑0 0 ®®

30.

Start= 180 ® 180 ®®

150.

1234567890.,

CALCULATION EXAMPLES

ANWENDUNGSBEISPIELE

EXEMPLES DE CALCUL

EJEMPLOS DE CÁLCULO

EXEMPLOS DE CÁLCULO

ESEMPI DI CALCOLO

REKENVOORBEELDEN

PÉLDASZÁMÍTÁSOK

PŘÍKLADY VÝPOČTŮ

RÄKNEEXEMPEL

LASKENTAESIMERKKEJÄ

èêàåÖêõ ÇõóàëãÖçàâ

UDREGNINGSEKSEMPLER

CONTOH-CONTOH PENGHITUNGAN

CONTOH-CONTOH PERHITUNGAN

EL-520W

[]

13(5+2)= ª 3 ( 5 + 2 )=

21.

23×5+2= 3 * 5 + 2 =

17.

33×5+3×2= 3 * 5 + 3 * 2 =

21.

→1@[

21.

→2]

17.

→3]

21.

→2[

17.

”

100000÷3=

[NORM1] ª 100000 / 3 =

33’333.33333

→[FIX] ”10

33’333.33333

[TAB 2] ”2 2

33’333.33

→[SCI] ”11

3.33

1004–

→[ENG] ”12

33.33

1003–

→[NORM1] ”13

33’333.33333

3÷1000=

[NORM1] ª 3 / 1000 =

0.003

→[NORM2] ”14

10–03

→[NORM1] ”13

0.003

+-*/()±E

45+285÷3= ª 45 + 285 / 3 =

140.

18+6 =( 18 + 6 )/

15–8( 15 - 8 =

3.428571429

42×(–5)+120= 42 *± 5 + 120 =

–90.

*1 (5 ±) *1

(5×103)÷(4×10–3)= 5 E 3 / 4 E

± 3 =

1’250’000.

34+57= 34 + 57 =

91.

45+57= 45 + 57 =

102.

68×25= 68 * 25 =

1’700.

68×40= 68 * 40 =

2’720.

sutSUTVhH

Ile¡•L÷⁄™

$#!qQ%

sin60[°]= ªs 60 =

0.866025403

cos —[rad]= ”01u(

@V/ 4 )=

0.707106781

tan–11=[g] ”02@T 1 =

50.

”00

(cosh 1.5 + ª(hu 1.5 +h

sinh 1.5)2 = s 1.5 )L=

20.08553692

tanh–1— = @Ht( 5

/ 7 )=

0.895879734

ln 20 = I 20 =

2.995732274

log 50 = l 50 =

1.698970004

e3 = @e 3 =

20.08553692

101.7 = @¡ 1.7 =

50.11872336

— + — = 6 @•+ 7 @

•=

0.309523809

8–2 – 34 × 52 =8 ™± 2 - 3 ™

4 * 5 L=

–2’024.984375

(123)

—

=12 ™ 3 ™ 4

@•=

6.447419591

838 ÷=

512.

49 –4

81 = @⁄ 49 - 4 @$

81 =

27 @# 27 =

4! = 4 @!=

24.

10P3 = 10 @q 3 =

720.

5C2 =5 @Q 2 =

10.

500×25%= 500 * 25 @%

125.

120÷400=?% 120 / 400 @%

30.

500+(500×25%)= 500 + 25 @%

625.

400–(400×30%)= 400 - 30 @%

280.

•

θ = sin–1 x

θ = tan–1 xθ = cos–1 x

DEG –90 ≤ θ ≤ 90 0 ≤ θ ≤ 180

RAD – — ≤ θ ≤ —0 ≤ θ ≤ π

GRAD –100 ≤ θ ≤ 100 0 ≤ θ ≤ 200

Åè

d/dx (x4 – 0.5x3 + 6x2)ªKˆ™ 4 - 0.5 K

x=2 ˆ÷+ 6 KˆL

dx=0.00002 @Å 2 ®®

50.

x=3 ® 3 ® 0.001 ®

130.5000029

dx=0.001

∫8

2 (x2 – 5)dxªKˆL- 5

n=100 è 2 ® 8 ®®

138.

n=10 ®®® 10 ®

138.

90°→ [rad] ª 90 @g

1.570796327

→ [g] @g

100.

→ [°]@g

90.

sin–10.8 = [°]@S 0.8 =

53.13010235

→ [rad] @g

0.927295218

→ [g] @g

59.03344706

→ [°]@g

53.13010235

2π

KRO;:?≥∆˚¬

ª 8 * 2 OM

16.

24÷(8×2)= 24 /KM=

1.5

(8×2)×5= KM* 5 =

80.

ªOM

$150×3:M1150 * 3 ;

450.

+)$250:M2 =M1+250 250 ;

250.

–)M2×5% RM* 5 @%

35.

M @:RM

665.

$1=¥110 110 OY

110.

¥26,510=$? 26510 /RY=

241.

$2,750=¥? 2750 *RY=

302’500.

r=3cm (r→Y) 3 OY

πr2=? @VKYL=

28.27433388

—— = 2.4...(A) 24 /( 4 + 6 )=

2.4

3×(A)+60÷(A)= 3 *K?+ 60 /

K?=

32.2

πr2⇒F1 @VKYL

O≥

3 OY

V = ? R≥* 4 / 3 =

37.69911184

6+4=ANS ª 6 + 4 =

10.

ANS+5 + 5 =

15.

8×2=ANS 8 * 2 =

16.

ANS2L=

256.

44+37=ANS 44 + 37 =

81.

√

ANS= @⁄=

3— + — = [a—]ª 3 \ 1 \ 2 +

4 \ 3 =

→[a.xxx] \

4.833333333

→[d/c] @|

—

=@¡ 2 \ 3 =

4.641588834

(

—

)

5=7 \ 5 ™ 5 =

16807

3125

(

—

)

—

=1 \ 8 ™ 1 \ 3

—— = @⁄ 64 \ 225 =

23( 2 ™ 3 ) \

34( 3 ™ 4 ) =

1.2 1.2 \ 2.3 =

2.3

1°2’3”1 o 2 o 3 \ 2 =

0°31’1.5”

1×103

1 E 3 \ 2 E 3 =

2×103

A = 7 ª 7 OA

— =4 \KA=

1.25 + — = [a.xxx] 1.25 + 2 \ 5 =

1.65

→[a—]\

= 4—

êûîìíãâ†ä

àá

DEC(25)→BIN ª@í 25 @ê

11001.

HEX(1AC) @ì 1AC

→BIN @ê

110101100.

→PEN @û

3203.

→OCT @î

654.

→DEC @í

428.

BIN(1010–100) @ê( 1010 - 100 )

×11 = * 11 =

10010.

BIN(111)→NEG ã 111 =

1111111001.

HEX(1FF)+ @ì 1FF @î+

OCT(512)= 512 =

1511.

HEX(?) @ì

349.

t = ––––

x – x

σx

Standardization conversion formula

Standard Umrechnungsformel

Formule de conversion de standardisation

Fórmula de conversión de estandarización

Fórmula de conversão padronizada

Formula di conversione della standardizzazione

Standaardisering omzettingsformule

Standard átváltási képlet

Vzorec pro přepočet rozdělení

Omvandlingsformel för standardisering

Normituksen konversiokaava

îÓÏÛÎ‡ ÒÚ‡Ì‰‡ÚËÁÓ‚‡ÌÌÓ„Ó ÔÂÓ·‡ÁÓ‚‡ÌËﬂ

Omregningsformel for standardisering

Rumus penukaran pemiawaian

Rumus konversi standarisasi

m (2-VLE)

m20

2x + 3y = 4 2 ® 3 ® 4 ®

5x + 6y = 7 5 ® 6 ® 7

x = ? ® [x]

–1.

y = ? ® [y]

det(D) = ? ® [det(D)]

–3.

m (3-VLE)

m21

x + y – z = 9 1 ® 1 ® 1 ±® 9 ®

6x + 6y – z = 17 6 ® 6 ® 1 ±® 17 ®

14x – 7y + 2z = 42 14 ® 7 ±® 2 ® 42

x = ? ® [x]

3.238095238

y = ? ® [y]

–1.638095238

z = ? ® [z]

–7.4

det(D) = ? ® [det(D)]

105.

m (QUAD, CUBIC)

m22

3x2 + 4x – 95 = 0 3 ® 4 ®± 95

x1 = ? ®

x2 = ? ®

–6.333333333

@®

m23

5x3+4x2+3x+7=0 5 ® 4 ® 3 ® 7

x1 = ? ®

–1.233600307

x2 = ? ®

0.216800153

@≠ +

1.043018296

x3 = ? ®

0.216800153

@≠ –

1.043018296

4+6





































••••

—— =

θ1

θ2

This equipment complies with the requirements of Directive 89/336/

EEC as amended by 93/68/EEC.

Dieses Gerät entspricht den Anforderungen der EG-Richtlinie 89/336/

EWG mit Änderung 93/68/EWG.

Ce matériel répond aux exigences contenues dans la directive 89/336/

CEE modifiée par la directive 93/68/CEE.

Dit apparaat voldoet aan de eisen van de richtlijn 89/336/EEG,

gewijzigd door 93/68/EEG.

Dette udstyr overholder kravene i direktiv nr. 89/336/EEC med tillæg

nr. 93/68/EEC.

Quest’ apparecchio è conforme ai requisiti della direttiva 89/336/EEC

come emendata dalla direttiva 93/68/EEC.

      

    89/336/, ! 

"! ! "#$ !   93/68/.

Este equipamento obedece às exigências da directiva 89/336/CEE na

sua versão corrigida pela directiva 93/68/CEE.

Este aparato satisface las exigencias de la Directiva 89/336/CEE

modificada por medio de la 93/68/CEE.

Denna utrustning uppfyller kraven enligt riktlinjen 89/336/EEC så som

kompletteras av 93/68/EEC.

Dette produktet oppfyller betingelsene i direktivet 89/336/EEC i

endringen 93/68/EEC.

Tämä laite täyttää direktiivin 89/336/EEC vaatimukset, jota on

muutettu direktiivillä 93/68/EEC.

Ñ‡ÌÌÓÂ ÛÒÚÓÈÒÚ‚Ó ÒÓÓÚ‚ÂÚÒÚ‚ÛÂÚ ÚÂ·Ó‚‡ÌËﬂÏ ‰ËÂÍÚË‚˚ 89/336/

EEC Ò Û˜ÂÚÓÏ ÔÓÔ‡‚ÓÍ 93/68/EEC.

Ez a készülék megfelel a 89/336/EGK sz. EK-irányelvben és annak 93/

68/EGK sz. módosításában foglalt követelményeknek.

Tento pﬁístroj vyhovuje poÏadavkÛm smûrnice 89/336/EEC v platném

znûní 93/68/EEC.

In Europe: Nur für Deutschland/For Germany only:

Umweltschutz

Das Gerät wird durch eine Batterie mit Strom versorgt.

Um die Batterie sicher und umweltschonend zu entsorgen,

beachten Sie bitte folgende Punkte:

•Bringen Sie die leere Batterie zu Ihrer örtlichen Mülldeponie,

zum Händler oder zum Kundenservice-Zentrum zur

Wiederverwertung.

•Werfen Sie die leere Batterie niemals ins Feuer, ins Wasser

oder in den Hausmüll.

Seulement pour la France/For France only:

Protection de l’environnement

L’appareil est alimenté par pile. Afin de protéger

l’environnement, nous vous recommandons:

•d’apporter la pile usagée ou à votre revendeur ou au service

après-vente, pour recyclage.

•de ne pas jeter la pile usagée dans une source de chaleur,

dans l’eau ou dans un vide-ordures.

Endast svensk version/For Sweden only:

Miljöskydd

Denna produkt drivs av batteri.

Vid batteribyte skall följande iakttagas:

•Det förbrukade batteriet skall inlämnas till er lokala handlare

eller till kommunal miljöstation för återinssamling.

•Kasta ej batteriet i vattnet eller i hushållssoporna. Batteriet

får ej heller utsättas för öppen eld.

OPMERKING: ALLEEN VOOR NEDERLAND/

NOTE: FOR NETHERLANDS ONLY

••••













••••

225

— =

—– =

——– =

x = Σx

y = Σy

sy = Σy2 – ny2

n – 1

sx = Σx

– nx

n – 1

Σx = x1 + x2 + ··· + xn

Σx2 = x12 + x22 + ··· + xn2

Σxy = x1y1 + x2y2 + ··· + xnyn

Σy = y1 + y2 + ··· + yn

Σy2 = y12 + y22 + ··· + yn2

σy = Σy2 – ny2

σx = Σx

– nx

a1x + b1y = c1

a2x + b2y = c2

a1 b1

a2 b2

D =

a1x + b1y + c1z = d1

a2x + b2y + c2z = d2

a3x + b3y + c3z = d3

a1 b1 c1

a2 b2 c2

a3 b3 c3

D =

180 π

(n-r)!

180

•Physical Constants and Metric Conversions are shown in the

tables.

•Physikalischen Konstanten und metriche Umrechnungen sind in

der Tabelle aufgelistet.

•Les constants physiques et les conversion des unités sont

indiquées sur les tableaux.

•Las constants fisicas y conversiones métricas son mostradas en

las tables.

•Constantes Fisicas e Conversões Métricas estão mostradas nas

tablelas.

•La constanti fisiche e le conversioni delle unità di misura

vengono mostrate nella tabella.

•De natuurconstanten en metrische omrekeningen staan in de

tabellen hiernaast.

•A fizikai konstansok és a metrikus átváltások a táblázatokban

találhatók.

•Fyzikální konstanty a převody do metrické soustavy jsou

uvedeny v tabulce.

•Fysikaliska konstanter och metriska omvandlingar visas i

tabellerna.

•Fysikaaliset vakiot ja metrimuunnokset näkyvät taulukoista.

•Ç Ú‡·ÎËˆ‡ı ÔÓÍ‡Á‡Ì˚ ÙËÁË˜ÂÒÍËÂ ÍÓÌÒÚ‡ÌÚ˚ Ë ÏÂÚË˜ÂÒÍËÂ

ÔÂÓ·‡ÁÓ‚‡ÌËﬂ.

•Fysiske konstanter og metriske omskrivninger vises i tabellen.

•

•Pemalar Fizik dan Pertukaran Metrik ditunjukkan di dalam

jadual.

•Konstanta Fisika dan Konversi Metrik diperlihatkan di dalam

tabel.

PHYSICAL CONSTANTS ß 01 — 52

No. SYMBOL UNIT No. SYMBOL UNIT No. SYMBOL UNIT

01 - c, c0m s–119 -

µΒ

J T–137 - eV J

02 - Gm3 kg–1 s–220 -

eJ T–138 - tK

03 - gnm s–221 -

µΝ

J T–139 - AU m

04 - mekg 22 -

pJ T–140 - pc m

05 - mpkg 23 -

nJ T–141 - M(12C) kg mol–1

06 - mnkg 24 -

µµ

J T–142 - h

J s

07 - m

kg 25 -

cm43 - EhJ

08 - lu kg 26 -

c, p m44 - G0s

09 - eC 27 -

W m–2 K–445 -

–1

10 - hJ s 28 - N

Α,

Lmol–146 - mp/me

11 - kJ K–129 - Vmm3 mol–147 - Mukg mol–1

12 -

µ0

N A–230 - RJ mol–1 K–148 -

c, n m

13 -

ε0

F m–131 - FC mol–149 - c1W m2

14 - rem 32 - RKOhm 50 - c2m K

15 -

33 - -e/meC kg–151 - Z0Ω

16 - a0m 34 - h/2mem2 s–152 - Pa

17 - R

∞

m–135 -

ps–1 T–1

18 - Φ0Wb 36 - KJHz V–1

METRIC CONVERSIONS x @¥ 1 — 44

No. UNIT No. UNIT No. UNIT

1in→cm 16 kg→lb 31 J→calIT

2cm→in 17 °F→°C32calIT→J

3ft→m18°C→°F33hp→W

4m→ft 19 gal (US)→l34 W→hp

5yd→m20l→gal (US) 35 ps→W

6m→yd 21 gal (UK)→l36 W→ps

7 mile→km 22 l→gal (UK) 37 kgf/cm2→Pa

8km→mile 23 fl oz (US)→ml38 Pa→kgf/cm2

9 n mile→m24ml→fl oz (US) 39 atm→Pa

10 m→n mile 25 fl oz (UK)→ml40 Pa→atm

11 acre→m226 ml→fl oz (UK) 41 mmHg→Pa

12 m2→acre 27 J→cal 42 Pa→mmHg

13 oz→g 28 cal→J 43 kgf·m→J

14 g→oz 29 J→cal15 44 J→kgf·m

15 lb→kg 30 cal15→J

EL-520W (TINSExxxxEHZZ)_ENGLISH_OpExam

≤

f(x) = x3–3x2+2 Kˆ™ 3 - 3 K

ˆL+ 2 @≤

x = –1 1 ±®

–2.

x = –0.5 @≤ 0.5 ±®

1.125

A2+B2@⁄(KAL+

KBL)@≤

A = 2, B = 3 2 ® 3 ®

3.605551275

A = 2, B = 5 @≤® 5 ®

5.385164807

k&~£pnzw^

¢PZWvrab©

xy≠° (→t, P(, Q(, R()

DATA

95 m10

80 95 k

80 80 k

75 k

75 75 & 3 k

75 50 k

–

x=R~

75.71428571

σx=Rp

12.37179148

n=Rn

Σx=Rz

530.

Σx2=Rw

41’200.

sx=R£

13.3630621

sx2=L=

178.5714286

(95––

x) ×10+50= ( 95 -K~)

sx/K£* 10

+ 50 =

64.43210706

x = 60 → P(t) ? °1 60 °0)=

0.102012

t = –0.5 → R(t) ? °3 0.5 ±)=

0.691463

xy m11

2 5 2 & 5 k

2 5 k

12 24 12 & 24 k

21 40 21 & 40 & 3 k

21 40 15 & 25 k

21 40 Ra

1.050261097

15 25 Rb

1.826044386

0.995176343

R£

8.541216597

R¢

15.67223812

x=3 → y′=? 3 @y

6.528394256

y=46 → x′=? 46 @x

24.61590706

xy m12

12 41 12 & 41 k

8 13 8 & 13 k

5 2 5 & 2 k

23 200 23 & 200 k

15 71 15 & 71 k

5.357506761

–3.120289663

R©

0.503334057

x=10 → y′=? 10 @y

24.4880159

y=22 → x′=? 22 @x

9.63201409

@≠

–3.432772026

@≠

9.63201409

k[]

DATA

30 m10

40 30 k

40 40 & 2 k

50 50 k

↓

DATA

30 ]]]

45 45 & 3 kX2=

45.

45 ]N2=

60 ] 60 kX3=

60.

nPr 0 ≤ r ≤ n ≤ 9999999999*

—— < 10100

nCr

0 ≤ r ≤ n ≤ 9999999999*

0 ≤ r ≤ 69

—— < 10100

↔

DEG, D°M’S

0°0’0.00001” ≤ | x | < 10000°

x, y → r, θ x2 + y2 < 10100

0 ≤ r < 10100

DEG: | θ | < 1010

r, θ → x, yRAD: | θ | < —– × 1010

GRAD : | θ | < — × 1010

DEG→RAD, GRAD→DEG: | x | < 10100

DRG |RAD→GRAD: | x | < — × 1098

(A+Bi)+(C+Di) | A + C | < 10100, | B + D | < 10100

(A+Bi)–(C+Di) | A – C | < 10100, | B – D | < 10100

(A+Bi)×(C+Di)(AC – BD) < 10100

(AD + BC) < 10100

AC + BD < 10100

C2 + D2

(A+Bi)÷(C+Di)BC – AD < 10100

C2 + D2

C2 + D2 ≠ 0

→DEC DEC : | x | ≤ 9999999999

→BIN BIN : 1000000000 ≤ x ≤ 1111111111

→PEN 0 ≤ x ≤ 111111111

→OCT PEN : 2222222223 ≤ x ≤ 4444444444

→HEX 0 ≤ x ≤ 2222222222

AND OCT : 4000000000 ≤ x ≤ 7777777777

OR 0 ≤ x ≤ 3777777777

XOR HEX : FDABF41C01 ≤ x ≤ FFFFFFFFFF

XNOR 0 ≤ x ≤ 2540BE3FF

BIN : 1000000000 ≤ x ≤ 1111111111

0 ≤ x ≤ 111111111

PEN : 2222222223 ≤ x ≤ 4444444444

NOT 0 ≤ x ≤ 2222222221

OCT : 4000000000 ≤ x ≤ 7777777777

0 ≤ x ≤ 3777777777

HEX : FDABF41C01 ≤ x ≤ FFFFFFFFFF

0 ≤ x ≤ 2540BE3FE

BIN : 1000000001 ≤ x ≤ 1111111111

0 ≤ x ≤ 111111111

PEN : 2222222223 ≤ x ≤ 4444444444

NEG 0 ≤ x ≤ 2222222222

OCT : 4000000001 ≤ x ≤ 7777777777

0 ≤ x ≤ 3777777777

HEX : FDABF41C01 ≤ x ≤ FFFFFFFFFF

0 ≤ x ≤ 2540BE3FF

* n, r: integer / ganze Zahlen / entier / entero / inteiro / intero /

geheel getal / egész számok / celé číslo / heltal /

kokonaisluku / ˆÂÎ˚Â / heltal / / / /

integer / bilangan bulat

m (CPLX)

(12–6i) + (7+15i) – 12 - 6 Ü+ 7 + 15 Ü-

(11+4i) = ( 11 + 4 Ü)= [x]

@≠ [y]+

@≠ [x]

6×(7–9i) ×6 *( 7 - 9 Ü)*

(–5+8i) = ( 5 ±+ 8 Ü)= [x]

222.

@≠ [y]+

606.

16×(sin30°+ 16 *(s 30 +

icos30°)÷(sin60°+ Üu 30 )/(s 60 +

icos60°)= Üu 60 )= [x]

13.85640646

@≠ [y]+

@{ 8 Ö 70 + 12 Ö 25

= [r]

18.5408873

@≠ [θ]∠

42.76427608

r1 = 8, θ1 = 70°

r2 = 12, θ2 = 25°

↓

r = ?, θ = ?°

(1 + i)@} 1 +Ü=

↓ @{ [r]

1.414213562

r = ?, θ = ?° @≠ [θ]∠

45.

@}( 2 - 3 Ü)L

(2 – 3i)2 = = [x]

–5.

@≠ [y]–

12.

1 ( 1 +Ü)@•= [x]

0.5

1 + i@≠ [y]–

0.5

CONJ(5+2i)

∑0( 5 + 2 Ü)= [x]

@≠ [y]

–

Function Dynamic range

Funktion zulässiger Bereich

Fonction Plage dynamique

Función Rango dinámico

Função Gama dinâmica

Funzioni Campi dinamici

Functie Rekencapaciteit

Függvény Megengedett számítási tartomány

Funkce Dynamický rozsah

Funktion Definitionsområde

Funktio Dynaaminen ala

îÛÌÍˆËﬂ ÑËÌ‡ÏË˜ÂÒÍËÈ ‰Ë‡Ô‡ÁÓÌ

Funktion Dynamikområde

Fungsi Julat dinamik

Fungsi Kisaran dinamis

DEG: | x | < 1010

(tan x : | x | ≠ 90 (2n–1))*

sin x, cos x,RAD: | x | < —– × 1010

tan x(tan x : | x | ≠ — (2n–1))*

GRAD: | x | < —– × 1010

(tan x : | x | ≠ 100 (2n–1))*

sin–1x

cos–1x| x | ≤ 1

tan–1x, 3¿x| x | < 10100

In x

log x10–99

≤ x < 10100

•y > 0: –10100 < x log y < 100

•y = 0: 0 < x < 10100

yx•y < 0: x = n

(0 < l x l < 1: — = 2n–1, x ≠ 0)*,

–10100 < x log | y | < 100

•y > 0: –10100 < — log y < 100 (x ≠ 0)

•y = 0: 0 < x < 10100

x¿y•y < 0: x = 2n–1

(0 < | x | < 1 : — = n, x ≠ 0)*,

–10100 < — log | y | < 100

ex–10100 < x ≤ 230.2585092

10x–10100 < x < 100

sinh x,

cosh x,

| x | ≤ 230.2585092

tanh x

sinh–1 x| x | < 1050

cosh–1 x1 ≤ x < 1050

tanh–1 x| x | < 1

x2| x | < 1050

x3| x | < 2.15443469 × 1033

¿x0 ≤ x < 10100

x–1| x | < 10100 (x ≠ 0)

n! 0 ≤ n ≤ 69*

2FEC–ªOM@ì 2FEC -

2C9E=(A) 2C9E ;

34E.

+)2000–2000 -

1901=(B) 1901 ;

6FF.

A4d.

1011 AND ª@ê 1011 †

101 = (BIN) 101 =

5A OR C3 = (HEX) @ì 5A ä C3 =

db.

NOT 10110 = @êâ 10110 =

1111101001.

(BIN)

24 XOR 4 = (OCT) @î 24 à 4 =

20.

B3 XNOR @ì B3 á

2D = (HEX) 2D =

FFFFFFFF61.

→DEC @í

–159.

o_° (→sec, →min)

12°39’18.05”ª 12 o 39 o 18.05

→[10] @_

12.65501389

123.678→[60] 123.678 @_

123°40’40.8”

3h30m45s + 3 o 30 o 45 + 6 o

6h45m36s = [60] 45 o 36 =

10°16’21.”

1234°56’12” + 1234 o 56 o 12 +

0°0’34.567” = [60] 0 o 0 o 34.567 =

1234°56’47.”

3h45m –3 o 45 - 1.69 =

1.69h = [60] @_

2°3’36.”

sin62°12’24” = [10] s 62 o 12 o 24=

0.884635235

24°→[”] 24 o°2

86’400.

1500”→[’]0 o 0 o 1500 °3

25.

{},≠

ª 6 @, 4

x = 6 →r = @{[

]

7.211102551

y = 4 θ = [°]@≠[θ]

33.69006753

@≠[

]

7.211102551

14 @, 36

r = 14 →x = @}[x]

11.32623792

θ = 36[°]y = @≠[y]

8.228993532

@≠[x]

11.32623792

V0 = 15.3m/s ª 15.3 * 10 + 2 @•*

t = 10s ß 03 * 10 L=

643.3325

V0t+ — gt2 = ?m

125yd = ?m ª 125 @¥ 5 =

114.3

∑ (k, M, G, T, m, ÌÌ

ÌÌ

Ì, n, p, f)

100m×10k= 100 ∑14*

10 ∑10=

1’000.

j”

5÷9=ANS ª”10”2 1

ANS×9= 5 / 9 =

0.6

[FIX,TAB=1] * 9 =*1

5.0

5 / 9 =@j

0.6

* 9 =*2

5.4

”13

*1 5.5555555555555×10–1×9

*2 0.6×9

∑ (SOLV)

sin x–0.5 ªsKˆ- 0.5

Start= 0 ∑0 0 ®®

30.

Start= 180 ® 180 ®®

150.

1234567890.,

CALCULATION EXAMPLES

ANWENDUNGSBEISPIELE

EXEMPLES DE CALCUL

EJEMPLOS DE CÁLCULO

EXEMPLOS DE CÁLCULO

ESEMPI DI CALCOLO

REKENVOORBEELDEN

PÉLDASZÁMÍTÁSOK

PŘÍKLADY VÝPOČTŮ

RÄKNEEXEMPEL

LASKENTAESIMERKKEJÄ

èêàåÖêõ ÇõóàëãÖçàâ

UDREGNINGSEKSEMPLER

CONTOH-CONTOH PENGHITUNGAN

CONTOH-CONTOH PERHITUNGAN

EL-520W

[]

13(5+2)= ª 3 ( 5 + 2 )=

21.

23×5+2= 3 * 5 + 2 =

17.

33×5+3×2= 3 * 5 + 3 * 2 =

21.

→1@[

21.

→2]

17.

→3]

21.

→2[

17.

”

100000÷3=

[NORM1] ª 100000 / 3 =

33’333.33333

→[FIX] ”10

33’333.33333

[TAB 2] ”2 2

33’333.33

→[SCI] ”11

3.33

1004–

→[ENG] ”12

33.33

1003–

→[NORM1] ”13

33’333.33333

3÷1000=

[NORM1] ª 3 / 1000 =

0.003

→[NORM2] ”14

10–03

→[NORM1] ”13

0.003

+-*/()±E

45+285÷3= ª 45 + 285 / 3 =

140.

18+6 =( 18 + 6 )/

15–8( 15 - 8 =

3.428571429

42×(–5)+120= 42 *± 5 + 120 =

–90.

*1 (5 ±) *1

(5×103)÷(4×10–3)= 5 E 3 / 4 E

± 3 =

1’250’000.

34+57= 34 + 57 =

91.

45+57= 45 + 57 =

102.

68×25= 68 * 25 =

1’700.

68×40= 68 * 40 =

2’720.

sutSUTVhH

Ile¡•L÷⁄™

$#!qQ%

sin60[°]= ªs 60 =

0.866025403

cos —[rad]= ”01u(

@V/ 4 )=

0.707106781

tan–11=[g] ”02@T 1 =

50.

”00

(cosh 1.5 + ª(hu 1.5 +h

sinh 1.5)2 = s 1.5 )L=

20.08553692

tanh–1— = @Ht( 5

/ 7 )=

0.895879734

ln 20 = I 20 =

2.995732274

log 50 = l 50 =

1.698970004

e3 = @e 3 =

20.08553692

101.7 = @¡ 1.7 =

50.11872336

— + — = 6 @•+ 7 @

•=

0.309523809

8–2 – 34 × 52 =8 ™± 2 - 3 ™

4 * 5 L=

–2’024.984375

(123)

—

=12 ™ 3 ™ 4

@•=

6.447419591

838 ÷=

512.

49 –4

81 = @⁄ 49 - 4 @$

81 =

27 @# 27 =

4! = 4 @!=

24.

10P3 = 10 @q 3 =

720.

5C2 =5 @Q 2 =

10.

500×25%= 500 * 25 @%

125.

120÷400=?% 120 / 400 @%

30.

500+(500×25%)= 500 + 25 @%

625.

400–(400×30%)= 400 - 30 @%

280.

•

θ = sin–1 x

θ = tan–1 xθ = cos–1 x

DEG –90 ≤ θ ≤ 90 0 ≤ θ ≤ 180

RAD – — ≤ θ ≤ —0 ≤ θ ≤ π

GRAD –100 ≤ θ ≤ 100 0 ≤ θ ≤ 200

Åè

d/dx (x4 – 0.5x3 + 6x2)ªKˆ™ 4 - 0.5 K

x=2 ˆ÷+ 6 KˆL

dx=0.00002 @Å 2 ®®

50.

x=3 ® 3 ® 0.001 ®

130.5000029

dx=0.001

∫8

2 (x2 – 5)dxªKˆL- 5

n=100 è 2 ® 8 ®®

138.

n=10 ®®® 10 ®

138.

90°→ [rad] ª 90 @g

1.570796327

→ [g] @g

100.

→ [°]@g

90.

sin–10.8 = [°]@S 0.8 =

53.13010235

→ [rad] @g

0.927295218

→ [g] @g

59.03344706

→ [°]@g

53.13010235

2π

KRO;:?≥∆˚¬

ª 8 * 2 OM

16.

24÷(8×2)= 24 /KM=

1.5

(8×2)×5= KM* 5 =

80.

ªOM

$150×3:M1150 * 3 ;

450.

+)$250:M2 =M1+250 250 ;

250.

–)M2×5% RM* 5 @%

35.

M @:RM

665.

$1=¥110 110 OY

110.

¥26,510=$? 26510 /RY=

241.

$2,750=¥? 2750 *RY=

302’500.

r=3cm (r→Y) 3 OY

πr2=? @VKYL=

28.27433388

—— = 2.4...(A) 24 /( 4 + 6 )=

2.4

3×(A)+60÷(A)= 3 *K?+ 60 /

K?=

32.2

πr2⇒F1 @VKYL

O≥

3 OY

V = ? R≥* 4 / 3 =

37.69911184

6+4=ANS ª 6 + 4 =

10.

ANS+5 + 5 =

15.

8×2=ANS 8 * 2 =

16.

ANS2L=

256.

44+37=ANS 44 + 37 =

81.

√

ANS= @⁄=

3— + — = [a—]ª 3 \ 1 \ 2 +

4 \ 3 =

→[a.xxx] \

4.833333333

→[d/c] @|

—

=@¡ 2 \ 3 =

4.641588834

(

—

)

5=7 \ 5 ™ 5 =

16807

3125

(

—

)

—

=1 \ 8 ™ 1 \ 3

—— = @⁄ 64 \ 225 =

23( 2 ™ 3 ) \

34( 3 ™ 4 ) =

1.2 1.2 \ 2.3 =

2.3

1°2’3”1 o 2 o 3 \ 2 =

0°31’1.5”

1×103

1 E 3 \ 2 E 3 =

2×103

A = 7 ª 7 OA

— =4 \KA=

1.25 + — = [a.xxx] 1.25 + 2 \ 5 =

1.65

→[a—]\

= 4—

êûîìíãâ†ä

àá

DEC(25)→BIN ª@í 25 @ê

11001.

HEX(1AC) @ì 1AC

→BIN @ê

110101100.

→PEN @û

3203.

→OCT @î

654.

→DEC @í

428.

BIN(1010–100) @ê( 1010 - 100 )

×11 = * 11 =

10010.

BIN(111)→NEG ã 111 =

1111111001.

HEX(1FF)+ @ì 1FF @î+

OCT(512)= 512 =

1511.

HEX(?) @ì

349.

t = ––––

x – x

σx

Standardization conversion formula

Standard Umrechnungsformel

Formule de conversion de standardisation

Fórmula de conversión de estandarización

Fórmula de conversão padronizada

Formula di conversione della standardizzazione

Standaardisering omzettingsformule

Standard átváltási képlet

Vzorec pro přepočet rozdělení

Omvandlingsformel för standardisering

Normituksen konversiokaava

îÓÏÛÎ‡ ÒÚ‡Ì‰‡ÚËÁÓ‚‡ÌÌÓ„Ó ÔÂÓ·‡ÁÓ‚‡ÌËﬂ

Omregningsformel for standardisering

Rumus penukaran pemiawaian

Rumus konversi standarisasi

m (2-VLE)

m20

2x + 3y = 4 2 ® 3 ® 4 ®

5x + 6y = 7 5 ® 6 ® 7

x = ? ® [x]

–1.

y = ? ® [y]

det(D) = ? ® [det(D)]

–3.

m (3-VLE)

m21

x + y – z = 9 1 ® 1 ® 1 ±® 9 ®

6x + 6y – z = 17 6 ® 6 ® 1 ±® 17 ®

14x – 7y + 2z = 42 14 ® 7 ±® 2 ® 42

x = ? ® [x]

3.238095238

y = ? ® [y]

–1.638095238

z = ? ® [z]

–7.4

det(D) = ? ® [det(D)]

105.

m (QUAD, CUBIC)

m22

3x2 + 4x – 95 = 0 3 ® 4 ®± 95

x1 = ? ®

x2 = ? ®

–6.333333333

@®

m23

5x3+4x2+3x+7=0 5 ® 4 ® 3 ® 7

x1 = ? ®

–1.233600307

x2 = ? ®

0.216800153

@≠ +

1.043018296

x3 = ? ®

0.216800153

@≠ –

1.043018296

4+6





































••••

—— =

θ1

θ2

This equipment complies with the requirements of Directive 89/336/

EEC as amended by 93/68/EEC.

Dieses Gerät entspricht den Anforderungen der EG-Richtlinie 89/336/

EWG mit Änderung 93/68/EWG.

Ce matériel répond aux exigences contenues dans la directive 89/336/

CEE modifiée par la directive 93/68/CEE.

Dit apparaat voldoet aan de eisen van de richtlijn 89/336/EEG,

gewijzigd door 93/68/EEG.

Dette udstyr overholder kravene i direktiv nr. 89/336/EEC med tillæg

nr. 93/68/EEC.

Quest’ apparecchio è conforme ai requisiti della direttiva 89/336/EEC

come emendata dalla direttiva 93/68/EEC.

      

    89/336/, ! 

"! ! "#$ !   93/68/.

Este equipamento obedece às exigências da directiva 89/336/CEE na

sua versão corrigida pela directiva 93/68/CEE.

Este aparato satisface las exigencias de la Directiva 89/336/CEE

modificada por medio de la 93/68/CEE.

Denna utrustning uppfyller kraven enligt riktlinjen 89/336/EEC så som

kompletteras av 93/68/EEC.

Dette produktet oppfyller betingelsene i direktivet 89/336/EEC i

endringen 93/68/EEC.

Tämä laite täyttää direktiivin 89/336/EEC vaatimukset, jota on

muutettu direktiivillä 93/68/EEC.

Ñ‡ÌÌÓÂ ÛÒÚÓÈÒÚ‚Ó ÒÓÓÚ‚ÂÚÒÚ‚ÛÂÚ ÚÂ·Ó‚‡ÌËﬂÏ ‰ËÂÍÚË‚˚ 89/336/

EEC Ò Û˜ÂÚÓÏ ÔÓÔ‡‚ÓÍ 93/68/EEC.

Ez a készülék megfelel a 89/336/EGK sz. EK-irányelvben és annak 93/

68/EGK sz. módosításában foglalt követelményeknek.

Tento pﬁístroj vyhovuje poÏadavkÛm smûrnice 89/336/EEC v platném

znûní 93/68/EEC.

In Europe: Nur für Deutschland/For Germany only:

Umweltschutz

Das Gerät wird durch eine Batterie mit Strom versorgt.

Um die Batterie sicher und umweltschonend zu entsorgen,

beachten Sie bitte folgende Punkte:

•Bringen Sie die leere Batterie zu Ihrer örtlichen Mülldeponie,

zum Händler oder zum Kundenservice-Zentrum zur

Wiederverwertung.

•Werfen Sie die leere Batterie niemals ins Feuer, ins Wasser

oder in den Hausmüll.

Seulement pour la France/For France only:

Protection de l’environnement

L’appareil est alimenté par pile. Afin de protéger

l’environnement, nous vous recommandons:

•d’apporter la pile usagée ou à votre revendeur ou au service

après-vente, pour recyclage.

•de ne pas jeter la pile usagée dans une source de chaleur,

dans l’eau ou dans un vide-ordures.

Endast svensk version/For Sweden only:

Miljöskydd

Denna produkt drivs av batteri.

Vid batteribyte skall följande iakttagas:

•Det förbrukade batteriet skall inlämnas till er lokala handlare

eller till kommunal miljöstation för återinssamling.

•Kasta ej batteriet i vattnet eller i hushållssoporna. Batteriet

får ej heller utsättas för öppen eld.

OPMERKING: ALLEEN VOOR NEDERLAND/

NOTE: FOR NETHERLANDS ONLY

••••













••••

225

— =

—– =

——– =

x = Σx

y = Σy

sy = Σy2 – ny2

n – 1

sx = Σx

– nx

n – 1

Σx = x1 + x2 + ··· + xn

Σx2 = x12 + x22 + ··· + xn2

Σxy = x1y1 + x2y2 + ··· + xnyn

Σy = y1 + y2 + ··· + yn

Σy2 = y12 + y22 + ··· + yn2

σy = Σy2 – ny2

σx = Σx

– nx

a1x + b1y = c1

a2x + b2y = c2

a1 b1

a2 b2

D =

a1x + b1y + c1z = d1

a2x + b2y + c2z = d2

a3x + b3y + c3z = d3

a1 b1 c1

a2 b2 c2

a3 b3 c3

D =

180 π

(n-r)!

180

•Physical Constants and Metric Conversions are shown in the

tables.

•Physikalischen Konstanten und metriche Umrechnungen sind in

der Tabelle aufgelistet.

•Les constants physiques et les conversion des unités sont

indiquées sur les tableaux.

•Las constants fisicas y conversiones métricas son mostradas en

las tables.

•Constantes Fisicas e Conversões Métricas estão mostradas nas

tablelas.

•La constanti fisiche e le conversioni delle unità di misura

vengono mostrate nella tabella.

•De natuurconstanten en metrische omrekeningen staan in de

tabellen hiernaast.

•A fizikai konstansok és a metrikus átváltások a táblázatokban

találhatók.

•Fyzikální konstanty a převody do metrické soustavy jsou

uvedeny v tabulce.

•Fysikaliska konstanter och metriska omvandlingar visas i

tabellerna.

•Fysikaaliset vakiot ja metrimuunnokset näkyvät taulukoista.

•Ç Ú‡·ÎËˆ‡ı ÔÓÍ‡Á‡Ì˚ ÙËÁË˜ÂÒÍËÂ ÍÓÌÒÚ‡ÌÚ˚ Ë ÏÂÚË˜ÂÒÍËÂ

ÔÂÓ·‡ÁÓ‚‡ÌËﬂ.

•Fysiske konstanter og metriske omskrivninger vises i tabellen.

•

•Pemalar Fizik dan Pertukaran Metrik ditunjukkan di dalam

jadual.

•Konstanta Fisika dan Konversi Metrik diperlihatkan di dalam

tabel.

PHYSICAL CONSTANTS ß 01 — 52

No. SYMBOL UNIT No. SYMBOL UNIT No. SYMBOL UNIT

01 - c, c0m s–119 -

µΒ

J T–137 - eV J

02 - Gm3 kg–1 s–220 -

eJ T–138 - tK

03 - gnm s–221 -

µΝ

J T–139 - AU m

04 - mekg 22 -

pJ T–140 - pc m

05 - mpkg 23 -

nJ T–141 - M(12C) kg mol–1

06 - mnkg 24 -

µµ

J T–142 - h

J s

07 - m

kg 25 -

cm43 - EhJ

08 - lu kg 26 -

c, p m44 - G0s

09 - eC 27 -

W m–2 K–445 -

–1

10 - hJ s 28 - N

Α,

Lmol–146 - mp/me

11 - kJ K–129 - Vmm3 mol–147 - Mukg mol–1

12 -

µ0

N A–230 - RJ mol–1 K–148 -

c, n m

13 -

ε0

F m–131 - FC mol–149 - c1W m2

14 - rem 32 - RKOhm 50 - c2m K

15 -

33 - -e/meC kg–151 - Z0Ω

16 - a0m 34 - h/2mem2 s–152 - Pa

17 - R

∞

m–135 -

ps–1 T–1

18 - Φ0Wb 36 - KJHz V–1

METRIC CONVERSIONS x @¥ 1 — 44

No. UNIT No. UNIT No. UNIT

1in→cm 16 kg→lb 31 J→calIT

2cm→in 17 °F→°C32calIT→J

3ft→m18°C→°F33hp→W

4m→ft 19 gal (US)→l34 W→hp

5yd→m20l→gal (US) 35 ps→W

6m→yd 21 gal (UK)→l36 W→ps

7 mile→km 22 l→gal (UK) 37 kgf/cm2→Pa

8km→mile 23 fl oz (US)→ml38 Pa→kgf/cm2

9 n mile→m24ml→fl oz (US) 39 atm→Pa

10 m→n mile 25 fl oz (UK)→ml40 Pa→atm

11 acre→m226 ml→fl oz (UK) 41 mmHg→Pa

12 m2→acre 27 J→cal 42 Pa→mmHg

13 oz→g 28 cal→J 43 kgf·m→J

14 g→oz 29 J→cal15 44 J→kgf·m

15 lb→kg 30 cal15→J

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