Casio Fx CG50_fx CG20 CN CG20CN_Soft_v311 CG20CN Soft V311

fx-CG50_Soft_v311 fx-CG50_Soft_v311_CN fx-CG50 | 计算器 | 说明书 | CASIO

User Manual: Casio fx-CG20CN_Soft_v311 fx-CG20 CN | 计算器 | 说明书 | CASIO

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fx-CG50
fx-CG20 CN
(更新OS 3.11)
软件3.11
用户说明书
CN
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
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  
  
 
 
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  
 
 
 
 
 
 
 
  
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  
 
 
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  
  
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  
  
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 
 
 
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  
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  
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  
  
 
 
 
 
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  
  
  
  
  
 
 
 
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  
  
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 
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 
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 
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
-




































































k
16

k



    


 


!
  a 

  
!i
  
   
 
 

  




k


  
k

u
b.c5bcw

b.c5-dw




>x x >



>x x >







k

u
 


u
  




u
 


k
A
w
 
Ac+d-e+baw
k
de
we



!D
  




u
 
Acga
ddd
D
s
u
 × × × 
Adgj**c
dD
D
u
 



Ac.dgx
 ddddddd
 s
k








k
de
ed



 
× 
× 
Ae.bc*g.ew
 dddd
 !D
h.b
 w

Afc
ed


Abcd+efgw
cde-fghw
A
 f
 f

AA

k
 ÷ × ÷ × 
Abe/a*c.d
w
 J

  
db
  
 w

k





u
 !i
 

1

J
u
 !i
 

2


u
!j

 A
 !j
k




u


!e

6
f c

f c

f c1w

!f !c

 
A!e6
c1
cc1
cccccc
1
J!J
u

!e
6
1w




1w

 
A!e6
1th
1
u


5

f c1w
u󰝬
󰝬
󰝬
󰝬󰝬
󰝬

󰝬


2
2
󰝬
󰝬

󰝬󰝬
󰝬d e
J󰝬
A !J







!D




k
u


  
 '

!'&  
 M
 x
 !)
x 
 
'!x' 
 !(

' 
 !M
x ' 
e x !Ie x
 

x !l
x
 
 

 
 

 
 

 
 

 



 
Σ 


 
 

 

 ()
 !*!/ 
 !+!- 











Σ 





u
4


× 
×

m × n mn
×
×
×
×





x 
dx
df
(
x
)
x
=
a


x 

dx
2
d
2
f
(
x
)x
=
a
x 
f
(
x
)
dx
a
b
Σ Σ 
f
(
x
)
x=α
β
α
Σ
u
 
 
 


AcM
d
 e
+b
 w

 
(
)
1+ 2
5
2
A(b+
 '
cc
f
 e
)x
 w
 
1+
x
+ 1
dx
0
1
 Ab+46g1
x
 v+b
 ea
 fb
 e
 w

 
2 ×1
2
21
2
2
 Ac*411
 'bcc
 ee
 !x'ce
 e!x'cee'bcc
 w
u
 
 
 
 

u


u
'
 


!D
 
!x''
'
!D




   
 '
 M
'!x'
 !(

'
 !M
x '
e x !Ie x


x !l
x

 42


 43
 44
x 
 45

x 

 46g
1
x 
Σ  46g
2Σ 
!D

u





D



 e
 d
k
w

aD
aD
AAaD
A
eaD
e
aD
D

 b+'be
 D
 aD
 c
 A
 aD

k
 
 









 
21

 
×
c*c'f
Mx!)x 
Mx!)x 


 



(dx)!)x 

k


  b+cw
  *cw


 

 ffffdDdw










k


u

=
4×5
610
3
( )
=
3
π2
1
cos 
log
2
8 = 3
123 = 1.988647795
7
2 + 3 × 3 64 − 4 = 10
A'*w
Ac(!5π 'e)w
A42

ew
A!M
x 'ew
A+*!M
x 'ee-w
4
3= 0.1249387366log
A43l'w
20
73
5
2+ 3 =
4
1
A'e+!'(ew
10
23
+
2
3
1.5 + 2.3i =
i
A+!a
i wf
dx
d
( )
x3 + 4x2 + x − 6 x = 3 = 52 A44
x vMe+
vx+v-ew
2x2 + 3x + 4dx =3
404
5
1
A46g1x vx+v+
eew
(
k2 − 3k + 5
)
= 55
k=2
6A46g2Σ a,x-
a,+ea,eew

k
u
!m1J
4
1
× 
×

m × n mn
×
×
×
×
 × 
   3m × n
   
   cw
   
   dw
   w

u
 

   beb'ceedde
   bd'eeefege
   *iw
u
 
   !c!-a
   !ca)w
D
D

× 8
33
65
1
13
4
1
2

k







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2
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2
x
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x
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1
0
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u
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 x 
y 
x 
y 
x 
y 



 n ¯ x x n 
n 
¯ x 
¯ x 
x 
x 
p 
 
p 


 
 
p z t F ˆ p ˆ p 
ˆ p 
df r r



  p z t χ 
F 
p F 
p F 
p F 

 
 ˆ p ˆ p 
ˆ p 
df 
  
 
 p 
  p t χ 
F 
  
  t 
  t 
u
r f x 

fy 

u


u



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 

u



 a n
a n 
a n 
b n
b n 
b n 
c n
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a n
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 c n
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
 
 
a 
a 
a 
b 
b 
b 
c 
c 
c 
a 
a 
a 
b 
b 
b 
c 
c 
c 
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 
a n b n c n a n
b n
c n
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


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
 


 


 

u




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
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

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



 

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n I PV PMT FV 
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
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
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 
 
!J

 
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
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



k

-



56 × (–12) ÷ (–2.5) = 268.8 *-/-w
(2 + 3) × 10
2
= 500 (+)*5w
2 + 3 × (4 + 5) = 29 +*(+w

4
×
5
6 = 10
3 (0.3)
'c*w

/(*)w


w
k 


















2

 ÷ 

/w
 !mff
1ewJw

 !mff
2fwJw


 !mff
3Jw




 ÷ × 

/*w
 !mff
1dwJw



/w
*
w

× 



/w



K6g44w
*
w

× 


/w




6g1!-
,)w
*
w


× 


Σ 



1
1

k

1
 
x y r 
θ
 Σ 
 
x 

x 
x Σ 



 


2
  

x 
x 
x! ° ’ ” 



3x y

x '
4
a 
b

c
5π 
π 
6
  
'

'e x

x














D

7
'
8
n r n r 
9

0× 
!
@><
#
$




°






 × π 



e x
e x

 


k

'π 
 '''
 !x'ce+!x'
 iw
u
'

'''

  ± a 'b ± d ± a 'b ± a'
b
c± d'
e
f
a b c d e f '
  <
a <<b <<c <
  <
d <<e <<f <
'
a c d 
'
  a'
b
cd'
e
fa´'
b + d´'
e
c´c ´c f 
1
2
3
4
5
6

'a ´c ´d ´

a c d 
 '
3
11 '
2
10 10'
3 + 11'
2
110


2 × (3 – 2 ' 5) = 6 – 4 ' 5 '
35 ' 2 × 3 = 148.492424 (= 105 '
2)

150'
2
25 = 8.485281374

23 × (5 – 2 ' 3) = 35.32566285 (= 115 – 46 '
3)

' 2 + ' 3 + ' 8 = ' 3 + 3 ' 2 '
'
2 + '
3 + '
6 = 5.595754113








  '''''
  
'
 '
u
π

π 

n π 

n 


ab
cπ b
cπ 
 
a b c 
ab
cb
c



c 




c <b a b c b
c
ab
c







78 π × 2 = 156 π π 
123456 π × 9 = 3490636.164 (= 11111104 π )

105 568
824 π
= 105 71
103 π
π 
2 258
3238 π
= 6.533503684 129
1619 π2 








ab
cπ 
k
× 
16
 
'
3

 π 


 



 
 
 

 ππ
 ''
π πππ








k

α 
J
k
bcd
'π
x 
a n 



k

 aavw
 av/w
 av/w
k
u


r 
θ



u
aw
 
  Abcdaavw
 
  Aav+efga
  alw
a+va+vx 
x 
 
x x 
  Abaavw
  faa+w
  vw
u
aw

r 
θ

 
 Abaaav
 !e6

cccc1

ff
 1atw
u




 
 !m2J
 A!aA5v
 lI5a
 aJ6g5bw
 5bw


u 




u
 
  !m2J
  A(av+al)
  (av-al)
  K6g6g3
  1bw
 JJJ

a

2-10
u 调用函数
示例 调用1号函数存储器中的内容
AK6g6g3(函数存)
2(调用) bw
在显示屏上光标的当前位置处显示调用的函数。
u 调用作为变量的函数
示例 调用1号函数存储器中的内容作为变量
Adaav(A) w
baal(B) w
K6g6g3(函数存)
3(fn) b+cw
u 显示可用函数列表
K6g6g3(函数存)
4(查看)
u 删除函数
示例 删除1号函数存储器中的内容
A
K6g6g3(函数存)
1(储存) bw
在显示屏为空白时执行存储操作,将删除指定函数存储器中的函数。

k
ww


A
u
 

 Abcd+efgw
 hij-!-w
faalw

k

 ÷ 
÷ × 
 Ab/dw
   *dw
x 
x 
x! x y

x '° ’ ” 



k 

J


  π 
  π 
k 

J

u
 
  1cw
n 


u
 
  2dw
n 

u
3


>x x >



>x x >

u
4




 × 
 × 

 × 
μ  × 

 × 
 × 

 × 
 × 

 × 
 × 

 × 




k

K

u 








u 

x! 

n r n r 



n p 



t t t 

t t x 
u 



 





n m 

n p m 

u 
°
° ’

° ’


° ’


'
u 










 











 





  

k




!mcccccc1J
K6g52w
° °+K6g52w
°´˝´˝°´˝K6g54° ’ ”4° ’ ”
4° ’ ”+4° ’ ”4° ’ ”4° ’ ”
w
5
° ’ ”

°°´˝K6g56g
3'w

k






!mcccccc2
Jc'!5π cw

c(!5π /)w


°× ° !mcccccc1
J*s*cw



°
x x
!s



w


*



k




 lw


 42

ew

K46g4

,)w



!lxw
e


!Iexw


× × × 
(-)Mw


1
7
 !M
x 'ew

!M
x 'w

MM
 

 
°

k


 K6g21w



 
K6g25

'cw

K6g25

(
/)w
k


'' !x'e+!x'wf

!x'+!x'w


×  (-)xw
(!)x-!)x
)!)xw
× × × × 
K6g31
x w
 !('**w

!('(**)w



43l'cw

K6g41l(/
)w
 
K6g42-w
  K6g43-w

K6g45-w
 
–––––– 
  
––––
  

k
u


 
a   <a <
 
n a  <n <

n n 
n 

a a a 







K6g34
1w
w w
w



K6g34
1w
w




1w
1w






K6g34
5)w



K6g34
5,)w


w


1w



5,)w
u

 
n <<<<n <

n n 




K6g34
2,)w



K6g34
2,,)w

u

 
n ><n <

n n 





K6g34
3,)w



K6g34
3,,)w
u
n p 
 
n p m <n <<m <<p <

m m 




K6g34
4,)w



K6g34
4,,)w

u

 nm
  
nm󰷅n󰷅m󰷅n󰷅
mmmm
mm





!*1,2,3,4,5,6
,7,8,9,10!/a
!bbw
K6g34
6!bb
,3,1)w




!*1,3,6,7!/a
!bcw
K6g34
6!bc,10)w
k
u u
°<<°



x y r °
!mcccccc
1J
K6g56g
1,)w

r °x y
2,)w
1 24.98924.98979792 (r)
2 55.928 55.92839019 ( )
θ
1 13.97913.97982259 (x)
2 20.725 20.72593931 (y)

k
u u

 

 K6g32
n r w
 

 K6g33
n r w
k



K6g46g
2,)w


K6g46g
3,)w
k



K6g46g
4,)w




K6g46g
5,,)w
n!n!
nPr=nCr=
(
nr)! r!(
nr
)!

k 




  
 



'ce+!'& ecw

'+''w
f
 
 × 


'ce+'cw

'+'w


× 
'ce*w

'*w










!f
<

k





!mff4JK
6g6g16g1+
1w
÷ 

/w
K6g6g16g6g
3




3

2

2








k 



 


aavw
aalw
avK6g6g
41alw

u


    
    
    
    
    

 
 
 


K4



x 

x 
x f x 

Σ 



k 

 
 AbahK46g
 6g1h
 w
k 

 
 AbahK46g
 6g2h
 w

k 
'

w


n wn 



i r
θ



  
  



 A'bfcgaw
 K46g6g
 3w
 3w


  
 


 A'chcgdw
 K46g6g
 3jw

'
k 

f x n a b a b n 







Σ 
A
kf x  

f x 



r 
θ



r 
θ




 

x 
Σ



 
x 
x 
 K45
 vx-fv-g)w
 J
k x 


K42
x f x ea

44
x f x ea

K42
x f x ,a )
a
-
d/dx (
f (x), a) f (a)
dx
d
f(a+Ax)–f(a)
f (a) = lim –––––––––––––
Ax
Ax0
'

-Ax f
'
a 
 y x 
x 
x x 
f x 
 
AK42x vMde+evx+v-ge
x a
  dw

ax 
a

f x r 

A


x 

x 

x 

x 

x 


Σ 

f(a+Ax)–f(a)
f (a) –––––––––––––
Ax
'

k 

x 



K43

x 
f x ea

45

x 
f x ea

K43

x 
f x ,a )
a



h f
"
a 
 
y x 
x 
x x 
f x 
AK43

x 
vMde+evx+v-
ge
a 
dw

a

x 

a


d2d2
––– ( f(x), a)––– f(a)
dx2dx2
f
''(a) =180h2
2 f(a + 3h) – 27 f(a + 2h) + 270 f(a + h) – 490 f(a) + 270 f(ah) – 27 f(a –2h) + 2 f(a – 3h)

k x 


K44
x f x ea fb

46g1
x f x ea fb

K44
x f x ,a ,b ,tol )

a
 
b
 
tol  

a
b
f(x)dx


a b y f x a <x <b f x >

 
tol 

  K44
x cvx+
  dv+eebffw


f
x 
  AK44
x cvx+dv+e,

  b,f,b5-e)w
(f(x), a,b, tol)
a
b f(x)dx
1
5
(2x
2
+ 3x + 4) dx

 


 




S

S
 S  S


A


a
b f(x)dx =
a
c f(x)dx +
c
b f(x)dx
a
b
f(x)dx =
a
x
1
f(x)dx +
x
1
x
2
f(x)dx +.....+
x
4
b
f(x)dx


f x r 


tol tol 

Σ 



kΣ  Σ 
Σ 

K46g3Σ 
a k ek e
α
e
β

46g2Σ 
a k ek e
α
e
β

K46g3Σ 
a k ,k ,
α
,
β
,n )
n 
 
n 
AK46g3Σ 
a,x-da,
+fea,ecegw
Σ

Σ 


a k 
β
Σ(a
k
,k,
α
,
β
,n)=Σa
k
=a
α
+a
α
+1
+........+ a
β
k =
α
6
Σ(k
2
–3
k+5)
k = 2


α
k  
α
k  

n n n 

β

α

Σ A
Σ Σ 


n 
k 

a <x <b 
u
K46g1f
x ,a ,b ,n )

a b n n 
u
K46g2f
x ,a ,b ,n )

a b n n 
 a b n 
y x 
x 
f
x 
  AK46g1vx-ev+j,
a b 
  a,d,
n 
  g)w
f
x r 



n 


n 

b a 
A

n 
Σ 






'
x 
x 
x y


'
x '


x
e x

° ’ ”
° ’ ”

a b
c d c



a bi 

r 






i  i
i  



<
<
π <
<π
<
<

K3
i i 



'r 'a bi 
!ai K31i 

a b i r 
x 'x <y m n
n 
 
x '
  i a b i
  r 

r !v
k i 

 
i i
  AK3
  (b+c1
i )
  +(c+d1
i )w
k
 i
  AK3
  !x'(d+1
i )w

k
 × 
!mcccccc
1c3
r J
Ac!vda*d
!vefw
k 

a b i 
 
i r 


  AK32
  d+e1
i w
  
  AK33
  (d+e1
i )w
  


k 

a + b i a b i 
 
i 
  AK34
  (c+e1
i )w
k 

a  b i a b
 
i 
AK36g1
(c+f6g1
i )w
 
AK36g2
(c+f6g1
i )w
 
k'r 'a bi 

 '
i 
!mcccccc
1c2
a b i J
Ab+(!x'de)
 K31
i 6g
3
'r
θ
w
Ac!vga
K36g4
'a b i w









   
   
   
   


   
   

     
    
vlIsct

 
  <
x <
  <
x <
 
  <
x <
  <
x <
 
  <
x <
  <
x <
 
  <
x <
  <
x <

k

u


!m23
45
J

 
u
1


u
 
  !m
  3
J
  A11bcdw
k
2















u 
 
  !m
  
4J
  A21
  bbaabaw


u
 
  !m
  
3J
  Abca2
  3ADw
k
3

''''

u
 
A!m
  
2J
11ccw
J33'w
4'w


3'














a+x v
x 








k
3'
 
m × n m × n 
   






u
-

u
 × 

  c
3

cw

dw
w




u
 

  bwcwdw
  ewfwgw
   
  w


1 2 3
4 5 6

u

u
fc
1
16
u
2
16
k

fc
ai

!-
w


  

  



u
1




u
 
  
  
1 2
3 4
5 6
  11

  cwdww
u
 
  12 

  ew

  cww


u
 
  13 

  ew

  cw

  dww

u
 
  14

  cw

  dww
u



u
 
  2c
  1

u
 
  2c
  2
u
 
  2cc
  3
u



u
 
  3e
  1

k



u


fc



41
fc
w






u
fc

42



fc
1
1
w




 {{
'π '
u
43

k 
u

K
2







!cK21

u 







n






n

m 

m 

mn


 
!+!+b,d,f
!-!+c,e,g
!-!-aK2
1av
  w
m n 


u 

 × 
  K26g1
  da6g1avw
 
a
11
a
12
...
a
1n
a
21
a
22
...
a
2n
a
m1
a
m2
...
a
mn
...
...
...
1 3 5
2 4 6

u 

 
  K26g2
  6g1avw



 
  !*c,d!/a
  K26g2
  6g1alw

u


u 

 
m n
  
m 
n 

 
  
1 2
3 4
5 6
  baaK21
  av!+b,c
  !-w

 
  K21
  av!+c,c
  !-*fw

u




 
K26g3
d,6g1av
)w

 
K25
1av,
1al)w




 
α

β

γ
 
α

β

γ



 1
2
 3
4

u 
 
 
m n
  
 
m 
 
n 
 
  
1 2
3 4
5 6
K22
1av,c)
aK11bw
1bw
k 

u

K
2









u 
 
  K21av+
  1alw
 × 
  K21av*
  1alw


× 
u 
 
  
1 2 3
4 5 6
−1 −2 0
  K231
  avw

× 
| A | = a11 a12 =a
11a22 –a
12a21
a21 a22
× 
= a11a22a33 + a12a23a31 + a13a21a32 – a11a23a32 – a12a21a33 – a13a22a31
a11 a12 a13
a21 a22 a23
a31 a32 a33
|A| =
 1 1
2 1
2 3
2 1


u 

 
  
1 2
3 4
5 6
  K241
  avw
nn
mm
u 

 

K26g4
6g1avw
1 2 3
4 5 6

u 

 
 
K26g5
6g1avw

u x 

 
  
  K21
  av!)
x 
w





A A–1 = A–1 A = E = 1 0
0 1
 



A = a b
c d
A–1= 1
ad – bc
d–b
–c a
 
2 −1 3 19
1 1 −5 −21
0 4 3 0
1 2
3 4

u x 

 
  
  K21av
  xw
u 
 
  
  K21av
  Mdw

u


 
  
  K6g41
  K21av
  w

1 2
3 4
1 2
3 4
1 –2
3 4

u
 

K6g41
K21as
w


i 



± 


 
α
 
α

1 + i 1 + i
1 + i2 + 2i


3'
6
-m
n
mn










a+xv
 x








k
3'6
  m nm n
   

mn




1
mn
k 

u

K
26g6g














 
 


 
 
u 

n
 
!+!+b,c,d
!-!-a
K26g6g1
avw
mn



a11
a21
am1
...

u 
 
  
K26g6g
1
av+1a
lw
 
  
K26g6g
1
av*1a
lw
 
  
K21
av*6g6g
1alw

nmnm
u 
 
  
K26g6g
21av,
1al)w
3
4
1 2
2 1
1
2

u 
 
  
K26g6g
31a
v,
1al)w
u 
 
  
K26g6g
41a
v,
1al)w
u 
 
  
K26g6g
51a
v)w
u 
 
  
K26g6g6g
16g6g6g
1av)w







     
     
     
     
   





k 

'

'1'





 
  AfaK6g1
  2f1'
  2ecw
 
  A!*bhf,bgc
  !/
  K6g13
  c

1'3d
  w

k
     

 



Å  
μ
   
  

  

  

   
   
   
   
   
   
   
   
   
 

 
 
μ
 
   


  

  
   

  

  

  

  
   



     

 

 
   
  

 
   

   
  

 
   
  

   

  

 


 
   
  


  

  


  

  

  


   

  
 
  
 
   
   
  
 

 


 
 

 
 






  





u

c



w
dw

List 1 List 2 List 3 List 4 List 5 List 26
1
SUB
56 1 107 3.5 4 0
2 37 2 75 6 0 0
3 21 4 122 2.1 0 0
4 69 8 87 4.4 2 0
5 40 16 298 3 0 0
64832486.8 3 0
7 93 64 338 2 9 0
8 30 128 49 8.7 0 0
••••••
••••••
••••••
• •••••
3



ewc+dw


u


!*
,!/
!*g,h,i!/
w
w

 
 




K
K11b+
K11cw
!bK11
k
u
w
u

6g2

u

6g3


u


6g4
16


u

6g5


k

u
1J

w
!a
 
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

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n !+a!-
w

n 


k

u



!f
w



u



!f
w




k

u

6g11

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
21

u

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
6g11


cw

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
cw

21


 
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


k

K1
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
u 
K121,1
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
 w
 

  AK12
  1b,1c)w
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K131w

 
  AK13
  1bw

u 


n aK131wn 
 
  AfaK13
  1bw

u 
K14,1)w
 
  AK14
  d,1b)w

u 
K15,,,,)w

 





f x 



  AK15vx,
  v,b,bb,f)w



u 
K16g16g6g1)w
 
  AK16g1
  6g6g1b)w
u 
K16g26g6g1
,1)w


 

  K16g2
  6g6g1b,
  1c)w
u 
K16g36g6g1)w
 
  AK16g3
  6g6g1b)w
u 



K16g46g6g1
,1)w

 

  AK16g4
  6g6g1b,
  1c)w
u 

K16g56g6g1
,1)w
 
  AK16g5
  6g6g1b,
  1c)w
u 
K16g6g16g1w
 
  AK16g6g
  16g1bw
u 
K16g6g26g1w
 
  AK16g6g
  26g1bw

u 
K16g6g36g1w

 
  AK16g6g3
  6g1
  bw
u 
K16g6g46g1w


 
  AK16g6g4
  6g1bw
1 2+3=
2 2+3+6=
3 2+3+6+5=
4 2+3+6+5+4=
1 2 3 4
1 2/(2+3+6+5+4) × 100 =
2 3/(2+3+6+5+4) × 100 =
3 6/(2+3+6+5+4) × 100 =
4 5/(2+3+6+5+4) × 100 =
5 4/(2+3+6+5+4) × 100 = 12345

u D
K16g6g5Dw

 
  AK16g6g5D
  bw

DD
D
D



k



1 3 – 1 =
2 8 – 3 =
3 5 – 8 =
4 4 – 5 =
1 2 3 4




+
×
÷
=


k




u

 AK11


u

 AK11



u
,
 
  !*fg,ic,
  ge!/

u
a
 
  K11da1bw
11d!*
eb,gf,cc!/
u

 
  sK11c!+d!-w
u


 
  cfaK11d!+c!-w
k
 
  K11bw


u
 
  K11!-*dgw
K11!-


k



k


 
x 



x 


e
K1
bw


k

 
   
  sK11dw



u

 !m
c
1
 
  1d
  w





6g6g1
k






'

k
u


6g6g1

 

11
12

fc
w

11


 
    

   
    
    
    
 
  
  
  
 
    
   
    
    
 






u
6g6g1
2



fc
1
1
w




{{
'π '
k



u
6g6g1
3

fc12
fc12
12
J









  
a 
x b 
y c 
  a 
x b 
y c

  
a 
x b 
y c 
z d 
  a 
x b 
y c 
z d 
  a 
x b 
y c 
z d 
 






 
a 
b 
c 
a n b n c n n 

Jw

w

3

4

 
x y z
x  y z 
 
x  y z 

x y  z 
1m
21
2
3ewbw-cw-bw
bwgwdwbw
-fwewbw-hw
41
 
 
x y z 
   
 
 
 
 1
–1
=
x
y
z
a1b1c1
a2b2c2
a3b3c3
d1
d2
d3


 

ax 
bx c a 

ax 
bx 
cx d a 

ax 
bx 
cx 
dx e a 
 


 



 
a b c 

wJ

w

3

 
x 
x 
x 
1m
22
2
3bw-cw-bwcw
41
 x 
x 
x 

 
x 
x 
x 

a  b i
r
θ
 
 
 
 
 1

 

 a+x vx 






-








 






1m
23
af!.aca/-
(b/c)a'a/xw
3bew
aw
cw
j.iw
4fff6

ax 
bx c 










k







5






k





 
y x 
1m
2dvxw
36w
A!6


k




f x f y 

 31
f x 
2r 
3
4f y 
51'5'
6g1'5' 
6g1>4 
6g6g1>4 
 


41

1
2
3
4
5


1 

2 

!f

 

x 
r 
θ
1m
231cvx-dw
32
r dscvw
36
 
x
1m
2svK6g52w
36


k
x y 

u

!3

  
x 
  
x 
  
x 
  
y 
  
y 

 
θ

θ

θ
 
θ

θ

cw





y x x y y

x 


J!J
w 

u

θ



θ

θ

θ

π 





θ

θ

θ

r

θ

θ

θ



k

u

!3
41
wbw


u

!3
42
wbw

k
-



 ,!+,!-

 
y x 
x <x <



1m
2!3-dwfwbwc
 -bawdawfwJ
331vx+dv-c,
!+-c,e!-w
46


k 



!21
 
2
 
x y 
34
 
5
 
y y 
6g1
 
6g2
 
x y 
6g3
 
6g4
 
6g5
 

 w

w

 y x x x 



1m
!3-iwiwcwc
 -ewcwbwJ
31(v+f)(v
+e)(v+d)w
6
2!21
3ddw
4ddffw
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dsvw
x 
dcvw
y 
u
 
 xx


 
°

°

 
°
x

x



°
x

xx>
 
31J4
1b(1c)w
J41c
(1b)w


u
 


31
avvx-bw
J41b(av
!.-b)w
J41b(av
!.a)w
J41b(av
!.b)w
ffff1
6
 


k
u
fc
!f

fcw
fcw

fcw
fcw

J
u
!f




fcw


J

u
fc
41

 
y x 
413
k
u
 y x y x 

e
eeeeeDd
w
u

fc

35

 
y x 

y <x 

353
'<<




u
fc

2D
16

k
u
fc
1
1
6
 
 
x 
r 
θ

     
     

θ

θ

π

θ

π

cf
1
6w
k


 
 



 
x y 
 



 

 
x y 

 
x y 


k








u
421
wbw




u
422
wbw







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



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k
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
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k
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k
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R
 B
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
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 
y x x x 
 
       
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u
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


y x 
x 

   
   
1m
2!m2J
3!3-fwfwcwc
  -bawbawfwJ
4!41w
51
5cvx+dv-ew




x x x 

x


x 

x x x
x 

x 

x 

x
'x x 
x x

x
e x
x 


'x
  

θ

θ

θ



θ



θ



θ

θ

θ

θ



θ



θ



θ
'
θ

θ


θ

θ

θ
e
θ

θ



'
θ
 x 
θ

 
u
f g 
 
x=y=

   
   

θ
 
θ
 
θ

π


1m
2!m2ccc3ccc2J
3!3-cawcawfwc
-bcwbcwfw
awe!5
π
w!5
π
/dgwJ
4!41w
53
5hcv-ccd.fv,
hsv-csd.fvw
dx (x)
d
dx2(x)
d2∫(x)dx

u


  

x+xxdx

   
   

1m
2!mccc1J
3!3-ewewbwc
-iwbcwfwJ
4!41w
55· dx
5(v+c)(v-b)
(v-d),-c,bw
k





 ,!+!.,,,!-



y 
x 


  
  
1m
2!mcccc3J
3!3-fwfwbwc
-bawbawcwJ
431avvx-d,
!+av!.d,b,
-b!-w
56



 



r 
θ





k






 








 









u






 
y x 


   
   
1m
dwbw-bw
2m
3!mcccc3J
4!3-fwfwbwc-
bawbawcwJ
531!bbvx
-dw
66




 



k










u







 
y x 
x 

   
   
1m
a-!.v
!iddd1
2m
3!mcccc3J
4!3-fwfwcwc
-bawbawfwJ
531cvx+dv-ew
6
6!j












k
u
 y x 

fc
w
u
x 

 

 
x 
u
 x 
m
5
-dwdwbw
-x 

x 

x 

x 
J

u

2

x 
gw
J
u



u
 
fc
1

1
6

x 




u






u



r 

3



k


x 









x 



x 

k

de
u
 x 
K1
w
bw


k







5
6
!6A

 


x 
x 

  
  
1m
2!3awgwbwc
-cwbawcwJ
331dvx-cw
vxw
45-dwdwbwJ
56
65



k








5
6

 
x 



  
  
1m
2!3awgwbwc
-cwbawcwJ
3!mccc1J
431dvx-cw
55
-dwdwbwJ
66
75

K1A






k

51








dede







k
u




43


5

fc
fc
de

J
 
y x 
x 


1m
2!mcccc3J
3!31J
431vx-avvw
55
6ca.fw
7f
8eeee

9-cw
0J
u
 





3
c

w


cwawaw
1
c
-bw

c
-bw

J
k

K1

fc
w

J

w


w


k
-




1
2


!f




31

2 
3 
4 





x  x 

 x 
x  x x 
x 

x  x  x 
 3


w



w
e+d-
J


 y x 



1m
2!31J
3!mc2J
45c1
5!fb
64cwbw-bw
72cwfwbwJ
833J
96
14
k









1
4
2
3
↓ ↑

 y x 

1m
2!31J
3!mcc1J
451
54bwaw
62bwewbwJ
733J
86
k
x 

!m
ccc

1
x 
2
x 
J
k



····
····

u
A
51
u

6

k


a n
a n
n
a n 
a n
n
a n 
a n 
a n
n


31
a n
a n
2a n 

3a n 



n 



 a n 
a n 
a n
a 
a 

󰃂
n 
1m
233a n 
34n a n
··3a n 
+2a n
w
452
a 
bwgwbwbwJ
56
 a 
a 

1

k





n 



5
6
 
a n 
a n

a 
n 


  
   

1m
2!3awgwbwc
-bfwgfwfwJ
332a n 
c2a n
+bw
452a 
bwgwbwJ
51f2J
66
75




A!6

k

a n
a n 
a n 
b n
b n 
b n 
c n
c n 
c n 






 
n 


 
a n 
a n
b n 
b n
n


a 
b 
n 

 
  
  

1m
2!3awcwbwc
awewbwJ
332
a n 
a.j2a n
w
4n a n
··3b n
+a.b1n -a.cw
452
a 
bwbawbwbwJ
56
63
a n
b n

a n


3

1
a b a n
a n 
a n 
b n
b n 
b n 


2
b c  b n
b n 
b n 
c n
c n 
c n 


3
a c  a n
a n 
a n 
c n
c n 
c n 



3

1
a n

6Σ a n
 


3

1
a b a n
a n 
a n 
b n
b n 
b n 

2
b c  b n
b n 
b n 
c n
c n 
c n 

3
a c  a n
a n 
a n 
c n
c n 
c n 

4Σ a b a n
a n 
a n 
b n
b n 
b n 

5Σ b c  b n
b n 
b n 
c n
c n 
c n 

6Σ a c  a n
a n 
a n 
c n
c n 
c n 

k
a n 
a n
a n 
f a n
a n 
y a n
x y f x 





n 


w
w
 

 fc

 a n 
a n


a n
b n 
b n


a 
a n

b 
b n

1m
2!3awbwbwc
awbwbwJ
332
a n 
-d2a n
x+d2a n
w
d3b n
+a.cw
451a 
awgwa.abwa.bbwc
a.abwa.bbwJ
56
64
7wwa n

cwwb n

1
y f x 

 
k




1
2
3



R
w

 
x y 
 y 
r 
θ

1m
21c

w
3cwbw-bw6
4JJ
52cccc
θ
w
6cw6
16


!f





u









!41
 2
 3
 4

 6g1

 6g2
6g1

 6g3
 6g4
 6g5
 6g6g1
 6g6g2
!f



J

 w










w
w
 
y x x x 
1m
2!31J
3!mcccccccc1b
c1J
431v(v+c)(v
-c)w
56
6!42
7!fbf
cdJ
8eew



 w


k



!1

de
 fc

x 

x y 
!c!f
v
x 
 
x 
!1








(Y
, Y
, X
, X
)
(Y>, Y<, X>, X<)

 
w
aD

 
  >

k




!1

k






fc

dew

w
K1

k



!26g3

!1

k
!5

!51
  2
  3
  4
y 
  5
  6g1
y x 
  6g2
x y 
  6g3
x 1x 
  6g3
x 2
  6g3
x 3
  6g3x4x



x 


u

!51
fc

w
 
 
x 
x
ed


u

!55

fcw
fcw
w
 e
d

 
 
x x 

f x > f x < f x 
f x 

f x 

 
 
u


!56g1
y x
6g2x y
fc
w

x y 
w
y x 
 
x y y 
x 
 
x x x x 
ed


u


!56g3
x 1x 

fcw
dew
e

w
 
 
x x x 



u

!56g3
x 2

J
dew
ew
J
w

 






u

!56g3
x 3

J
dew
e
J
w
 
π







u

!56g3xe
fc
ww
dew
dew
w
 



x
k



1
2
3
fc



!5
u



x y 
u


x y 
u


x y 
u



x y 
u
 





m
w
bwcwdw6
!5
1

!5
5


ed

ed
e
d
u
 
 





m
ccccw
-cw-bwcw6
!5
1










fcde




k


1









6

k 







x y 


















u
16



 xy 











ae bx

ab x

x y 





 k
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

Z Z Z Z t t
χ 
χ 
F x 






k

 k
AJ!J
k 





k

w

k











minX
MedQ1 Q3 maxX

k







k



k



w

k

1
c
 -
¯ x  
Σ x  
Σ x 
 
σ x
 

x
 
n  
 
 
 
 
 
 

n  
 
6



 


k

u 


n 

n 



n

n

n
n+
  
n 



n

n

n + 
n 
2
4 + 5= 
= Q1
2
2 + 3= Q3
2
6 + 7
12345678

  









   
  
  
  
  
  
  
  




1234567 98
= Q1
2
2 + 3= Q3
2
7 + 8

u 





   
   
   

   

   
   


  


Q1
0.1 0.2 0.4 0.7 0.8 0.9 1.0
Q3
12633444 75


kxy 
xy 



xy 
AJ!J
 
xy 
 x 

y 
1m
2a.fwb.cwc.ewewf.cwe
-c.bwa.dwb.fwcwc.ew
316c1J1
3
xy 16c2 J1
  
xy 

k





 

 x 
 
y 
1m
2a.fwb.cwc.ewewf.cwe
-c.bwa.dwb.fwcwc.ew
16c1J1
316g2
46

k


ax b a bx 







ax b a bx 
ae bx
ab x




k
a b
y ax b 1


r ..............
r 
 
MSe  
k
6
k
y 
x y 

  12
  1
ax b 2a bx
  6

y ax b
a  
b  y 
y a bx
a  y 
b  



y ax 
bx 
cx d
a 
b 
c 
d y 


y ax 
bx c
a 
b 
c y 
k


  13
  6

y ax b
a 
b y 
k


   
  14
  6


y ax 
bx 
cx 
dx e
a 
b 
c 
d 
e y 

k
y x y a b x x
y a b 
  16g2
  6

y a b x
a 
b 
k
y x y a e bx


y a bx y a 
bx
  16g3
  1

2

  6

y a e bx
a 
b 
y a b x
a 
b 

k
y x y a x b

y a b x x y a 

b 
  16g4
  6

y a x b
a 
b 
k


 
y a bx c d
  16g5
  6




k


 
  16g6g1
  6

k
y 







y = c
1 + ae
bx

k
11

c
ox 
Σ x x 
Σ x 
x 
σ
x
x 

x
x 
n 
p
y 
Σ y y 
Σ y 
 y 
σ
y
 y 

y
 y 
Σ xy  x y 
 
x 
 
x 
 
y 
 
y 
k

5



fc
w






u

26
-
  
x 
  
  
x 
  
y 
  

k


21

fc
-

k


22

fc
-
k



23
ax b a bx 







 
ax b a bx 
ae bx
ab x


 
 2311
ax b
-
-

u













ax b 

a bx 





a e bx


a b x

M
Se =
Σ
1
n – 2
i=1
n
(y
i
– (ax
i
+ b))
2
M
Se = Σ
1
n – 2 i=1
n(yi – (a + bxi))2
M
Se = Σ
1
n – 3
i=1
n
(y
i
– (ax
i
+ bx
i
+ c))
2
2
M
Se = Σ
1
n – 4
i=1
n
(y
i
– (ax
i3
+ bx
i
+ cx
i
+ d ))
2
2
M
Se =
Σ
1
n – 5 i=1
n(yi – (axi4+ bxi3 + cxi + dxi + e))2
2
M
Se =
Σ
1
n – 2
i=1
n
(y
i
– (a + b ln x
i
))
2
M
Se = Σ
1
n – 2
i=1
n
(ln y
i
– (ln a + bx
i
))
2
M
Se = Σ
1
n – 2 i=1
n(ln yi – (ln a + (ln b) · xi ))2




u
x 
y 

!51w
 fcw

x 
x w

x y 



v
x 
J
M
Se =
Σ
1
n – 2
i=1
n
(ln y
i
– (ln a + b ln x
i
))
2
M
Se =
Σ
1
n – 2 i=1
n(yi – (a sin (bxi + c) + d ))2
M
Se =
Σ
1
n – 2 1 + ae
bx
i
C
i=1
n
y
i
2

u


6
k  
x y 
 
xi yi  x 
xi     
yi     




  caxi 
  K52
w
 xi 
  baaayi 
  1
ˆ x w
 yi ˆ x



k

K6g36g

t t t 

t t x 

t t t t x 

 

 

  
  
  
  
  
P
(
t
)Q
(
t
)R
(
t
)
tt t
00 0
σ
x
 

  
  
  
  
  




 
  26
  1bw
  c2cw!J
  21
mK6g36g

  36g4
t bga.f)w
     
t   
  
  4t bhf.f)w
     
t   
  
  1a.ejg)-
  1-b.gde)w
       
     
  3a.ejg)w
       
     

k




 
1m
!m2J
2!41w
51
3K6g36g1
a.f)w
k


 
σ




  !m2J
  K531
  1!*b,c,d
  !/,b.f,c)w


k



 
n m  σnm
 
n m  σnm
 
n 
 
m 
 x

x    
    




  K541J
  J11b,1
     c)w
  J551J
  J11b,1
    c)w
  K542σJ
  J11b,1
     c)w
  K552σJ
  J11b,1
     c)w

k
Z t 

 
Z z p 





o
n 


Z 



  !m2J
  K56g1
  1
  1a,a,b,b
  ,cw
  JJJ
  11!-w

  
z 
  
p
  o
  
n




Z 
Z 


Z 

Z 

Z 

Z 
t 
t 

t 
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t 

t 

χ



χ

χ 



χ



F 








3
 31
Z 
  2
t 
  3χ 

  4
F 
  5
c

 1
 6
k


Z t χ 
F 

Z 311

1
w

kZ 
uZ 
Z 
 1z 
1z 

de
 2p 
2p 
z p 

uZ 
Z 

  3
  1
  1


μ
 

x
 

μ

uZ 
Z 

  3
  1
  2



μ

μ

 

x 
 

x 
 

μ


uZ 
Z 

  3
  1
  3

   


uZ 
Z 

  3
  1
  4

p

>p 
 

p 

kt 
ut 
t 
 1t 
1t 

de
 2p 
2p 

t p 

ut 
t t 

  3
  2
  1


μ
 

μ

ut 
t t t 

  3
  2
  2



μ

μ

 

p
 

μ


ut 
t x y 
y a bx a b t x y 


  3
  2
  3

β

ρ
 

6



t 

β

ρ



k




 1χ 

1χ 


 2p 
2p 
χ 
p 



χ





  3
  3
  1

-
 
 
 


 



χ

χ 



  3
  3
  2χ

-
 
 



1

2'

6'


kF 
F F F 

  3
  4


σ

σ

 
¯ x 
 
¯ x 
 


 1F 
1F 

de
 2p 
2p 
F p 
σ 

k




  3
  5
-
  
  
  
  

  







 
 
c

 1
 6


 
 List1={1,1,2,2}
List2={124,913,120,1001}
List1={1,1,1,1,2,2,2,2}
List2={1,1,2,2,1,1,2,2}
List3={113,116,139,132,133,131,126,122}



  
df SS MS F p
  
df SS MS

  
df SS MS F p
  
df SS MS F p
  
× df SS MS F p 


  
df SS MS
 
F  F
 
p  p
 
df  
 
SS  
 
MS  



1!1
defc



k
u 












u





BƓ B1 B2
A1 113 , 116
133 , 131
139 , 132
126 , 122
A2
AƓ

-
-


 
p 

 
p 
× 
 p 

u
u 







t Z 

Z 

Z 

Z 

Z 

t 

t 
4
 41Z 
  2
t 
c
 1


u
<<
<<
kZ 
uZ 
Z 

  4
  1
  1


uZ 
Z 

  4
  1
  2

uZ 
Z 

  4
  1
  3


uZ 
Z 

  4
  1
  4
kt 
ut 
t 

  4
  2
  1



ut 
t t 
t 

  4
  2
  2









x 


t x t 
t t 
t t 
t 
χ

F 

5
 51
  2
t 
  3χ 

  4
F 
  5
  6g1
  6g2
  6g3
c

 1
 6
k



5
11
1
w




x p 

t 
F 

!51
x 

x w

x p 
v
x 
J

x p 
k
 511

x p 






 
x 
x 











 512



 
x 

x 
 513


 
 <<

f(x)dx =p
−∞
Upper
f(x)dx =p
+∞
Lower
f(x)dx =p
Upper
Lower

kt 
t  521

t x p 



 
x 
x 
t  522

t t 

t 

 
x 
x 

t  523

t df t 


 
x 
t 
k


 531

x
p 



 
x 
x 


 532




 
x 
x 

 533


df 



 
x 



kF 
F  541
F x F p 



 
x 
x 
F  542
F F 

 
x 
x 

F  543

F n df d df 
F 

 
x 
F 
k
 551


x 


 
x 


 552

x p x 


 
x 

 553



 
x 


 

`

x `x `
x x `x 


k
 56g11

x 


 
x 


 56g12

x p x 


 
x 

 56g13



 
x 


 

`

x `x `
x x `x 


k
 56g21

x 


 
x 


 56g22

x p x 


 
x 

 56g23



 
x 


 

`

x `x `
x x `x 


k
 56g31

x 


 
x 

 56g32

x p x 



 
x 

 56g33



 
x 

 

`

x `x `
x x `x 





k

Z 
<

>



Z 
<

>



Z p 
<p 

>
p 

p 
Z p 
<p 

>p 


t 
<

>



t 
<

>


β

ρ
t 
ρ
<
>

F 
<

>


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
>
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
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
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
F F
pˆ 
pˆ


pˆ 

o
o

o


x


x 


x 


p

n 
n 

n 

df 
a 
b 

e

r 
r 





k 


Z 
z
= (oμ0)/(σ/'n )
Z 
z
= (o1o2)/ (σ /n1) + (σ /n2)
2
1
2
2
Z 
z
= (x/np0)/ p0(1 – p0)/n

Z 
z
= (x1/n1x2/n2)/ pˆ (1 – pˆ )(1/n1 + 1/n2)

t 
t = (oμ0)/(sx/'n )

t 
t = (o1o2)/ sp2(1/n1 + 1/n2)
df = n1 + n2 − 2
sp = ((n1 – 1)sx1
2 + (n2 – 1)sx2
2)/(n1 + n2 – 2)

t 
t = (o1o2)/ sx1
2/n1 + sx2
2/n2
C = (sx1
2/n1)/(sx1
2/n1 + sx2
2/n2)
df = 1/(C2/(n1 – 1) + (1 – C)2/(n2 – 1))

t 
t = r (n – 2)/(1 – r2)
b = Σ(xio)(yip)/Σ(xio)2a = pbo
i=1
n
i=1
n
χ 

O i
i 
E i
i 
χ 

O ij
i j
E ij
i j 

F 
F = sx1
2 /sx2
2

F = MS/MSe
SS = Σni (oio)2
MS = SS/Fdf MSe = SSe/Ed
f
i=1
k
Fdf = k1 Edf = Σ(ni – 1)
SSe = Σ(ni – 1)sxi2
i=1
k
i=1
k
χ2 = Σ(OiEi)2
/Ei
i
k
χ2 = ΣΣ(OijEij)2
/Eij
i
k
j
R
Eij = ΣOij ΣOij / Σ
ΣOi
j
i=1
k
i=1
k
j=1
R
j=1
R

k

Lower 
Upper 

Z 
Lower, Upper = o + Z( /2) · σ/
'
n
α
Z 
Lower, Upper = (o1o2) + Z( /2) σ /n1 + σ /n2
2
1
2
2
α
Z 
Lower, Upper = x/n + Z( /2) 1/n · (x/n · (1 – x/n))
α

Z 
Lower, Upper = (x
1/
n
1
x
2/
n
2)
+ Z( /2) (x
1/
n
1 · (1
x
1/
n
1))/
n
1 + (
x
2/
n
2 · (1
x
2/
n
2))/
n
2
α

t 
Lower, Upper = o + tn−1( /2) · sx/'n
α

t 

Lower, Upper = (o1o2) + tn1+n2−2 ( /2) sp2(1/n1 + 1/n2)
sp = ((n1 – 1)sx1
2 + (n2 – 1)sx2
2)/(n1 + n2 – 2)
α

t 

Lower, Upper
= (o
1
o
2
) +
tdf
( /2) s
x
1
2
/
n
1
+ s
x
2
2
/
n
2
df
= 1/(C
2
/(
n
1
– 1) + (1 – C)
2
/(
n
2
– 1))
α
C = (s
x
1
2
/
n
1
)/(s
x
1
2
/
n
1
+ s
x
2
2
/
n
2
)
α

α
 < 
Z 
α

α

t df

α
t
df

k



πσ
2
p(x) = 1e2 2
σ
(x μ)2
μ
(
> 0)
σ
p = p(x)dx
Upper
Lower
t 
p(x) = ×
Γ
Γ
× df
π
df+1
2
2
df
2
df + 1
df
x2
1 +
χ 

p(x) = ×
(x 0)
Γ
1
2
df
df
2
× x
2
1df
21x
2
× e
F 
ndf
2x
ddf
ndf ndf
21
ddf
ndf × x
1 +
ndf + ddf
2
p(x) =
Γ2
ndf + ddf
Γ2
ndf × Γ 2
ddf
(x 0)


p = p(x)dx
Upper
p = p(x)dx
Lower
p = p(x)dx
Upper
Lower
   

t 
p = p(x)dx
Lower
χ 

F 

k


p(x) = nCxpx(1–p)n x(x = 0, 1, ·······, n)
n 
 (x = 0, 1, 2, ···)
p(x) =x!
e
λ
λ
×x
λ

λ
> 

p(x) = p(1– p)x – 1 (x = 1, 2, 3, ···)

p(x) =MCx × N MCn x
NCn
n x 
M M 
N n N M N 



p = Σ p(x)
x=Lower
Upper

p H Σ p(x)
x=0
X


p = Σ p(x)
x=Lower
Upper

p H Σ p(x)
x=1
X

p = Σ p(x)
x=Lower
Upper

p H Σ p(x)
x=0
X









 









7

k
 
u

u

u

u

k
6
!1
e
PV SI SFV d

!f













u 
 SI  
n  
 PV  
I  
SFV 
1
1
n 
I 
PV 







SI' = n
365× PV × i
SI' = n
360× PV × i
I%
100
i =
I%
100
i =
SI = –SI'
SFV = –(PV + SI')

!1
e
PV SI 
SFV d
J


un
I 
 PMT = PV + × FV
β
α
FV =
β
α
PV + × PMT
n =
log (1+ iS) × PMT FV × i
(1+ iS) × PMT + PV × i
{}
log (1+ i)
I = 
PV = (PMT × n + FV) PMT = – n
PV + FV
FV = (PMT × n + PV) n = PMT
PV + FV
= (1+ i × S) × , = (1 + i)
i
1 n
ββ
α
0 .........

1 .........

i =
100
I%
I%
(1+ ) –1
C/Y
P/Y
100 × [C/Y ]
............................... (P/Y = C/Y = 1)


{
S =
.....
{
PV = – (α × PMT + × FV)
β

uI 
i 
i 
PV α × PMT 
β
× FV 

i I 
n  FV 
I  P/Y 
PV  C/Y 
PMT 

2
2
n 
I 
PV 
PMT 
FV 
P Y 
C Y 
{ }
× C/Y × 100...
I% = (1+ i )–1
P/Y
C/Y
i × 100 ................................. (P/Y = C/Y = 1)
{




n PV FV PV FV 
















!1
J





NPV

NFV

IRR

PBP

CF CF CF 


uNPV
n 
uNFV
uIRR
NPV IRR i 
NPV NPV IRR 
CF0
CF1
CF2CF3CF4
CF5CF6
CF7
NPV = CF0 + + + + … +
(1+ i)
CF1
(1+ i)2
CF2
(1+ i)3
CF3
(1+ i)n
CFni = 100
I %
NFV = NPV × (1 + i )
n
0 = CF0 + + + + … +
(1+ i)
CF1
(1+ i)2
CF2
(1+ i)3
CF3
(1+ i)n
CFn

uPBP
n NPV n <NPV n >
3
3
I 

5'





'





!1
J
NPVn = Σ
n
k = 0
CFk
(1 + i)k
PBP =
{
0 .................................. (CF0 > 0)
n NPVn
NPVn+1NPVn

...



u 
a INT
b PRN
c BAL
d Σ PRN
e Σ INT

a b PMT
c
a


    
b


     
e
d
a : INT
PM1
= I BAL
PM1–1
× i I × (PMT sign)
b : PRN
PM1
= PMT + BAL
PM1–1
× i
c : BAL
PM2
= BAL
PM2–1
+ PRN
PM2
d :
Σ
PRN = PRN
PM1
+ PRN
PM1+1
+ … + PRN
PM2
e :
Σ
INT = INT
PM1
+ INT
PM1+1
+ … + INT
PM2
PM2
PM1
PM2
PM1

BAL PV
INT PRN PMT
u-
-I 

I ' 
-
4
4
n 

n 
n 
I 
PV 
PMT 
FV 
P Y 
C Y 
I
%' = I%
(1+ ) –1
[C/Y ]
[P/Y ]
{ }
×
100
100 × [C/Y ]
i = I%'÷100





 
 






!1
!1
n INT PRN en n 
INT PRN
J



u 
APR 
EFF 
n  
5
5
n 
I 

'
'



EFF = n
APR/100
1+ –1 × 100
n
A
PR = 100
EFF
1+ –1 × n ×100
1
n



u 
CST  
SEL  
MRG 
1
6g1










CST = SEL 100
MRG
1–
SEL =
100
MRG
1–
CST
M
RG(%) = SEL
CST
1– ×100



2

6g2





w
























SL FP SYD DB 

j 
u
SL j j 
n  
PV  
FV  
j  
Y  
u
FP j  j 
RDV j j 
I  
{Y–1}(PVFV )
SL1 = n12
u
(PVFV )
SLj = n
12–{Y–1}
({Y–1}12)
(PVFV )
n12
u
SLn+1 =
100
I%
FPj = (RDVj–1 + FV ) ×
100
{Y–1}
I%
FP1 = PV × 12
×
FPn+1 = RDVn ({Y–1}12)
RDV1 = PV FV FP1
RDVj = RDVj–1 FPj
RDVn+1 = 0 ({Y–1}12)

u
SYD j  j 
RDV j j 
u
DB j  j 
RDV j j 
I  
3
6g3
n 
I 
PV 
FV 
j ............. 
Y 
n (n +1)
Z = 2
2
(n'  +1)(n'  + 2n'  )
Z' =
SYD1 = {Y–1}
12
n
Z×(PV FV )
n'j+2
Z' )(PV FV SYD1)( j1)SYDj = (
RDV1 = PV FV SYD1
RDVj = RDVj –1 SYDj
n' (n +1)+2
Z' )(PV FV SYD1)({Y–1}12)
12–{Y–1}
12
×SYDn+1 = (
12
{Y–1}
n' = n
RDV1 = PV FV DB1
({Y–1}12)
({Y–1}12)
100n
Y–1I%
DB1 = PV ×
100n
I%
12
×
×
DBj = (RDVj–1 + FV )
RDVj = RDVj–1 DBj
DBn +1 = RDVn
RDVn+1 = 0



j 

j 
 

j 

j 


   









u 
D





A B

PRC 
CPN 
YLD 
A  
M  
N  
RDV 
D 
B 
INT 
CST 


u

4
6g4
PRC = + (– )
RDV + M
CPN
1+ ( ×)
D
B
M
YLD/100 ×
D
A
M
CPN
×
D
A
M
CPN
INT = CST = PRC + INT
+×
D
A
M
CP
N
PRC =
RDV
(1+ )
M
YLD/100 (1+ )
M
YLD/100
M
CPN
Σ
N
k=1
(N–1+B/D ) (k–1+B/D )



RDV 
CPN 
PRC 
YLD 






   






-
PRD 
N 
A 
B 
D 

w

 

 



K6g6g2
11hda,f,
daa)w
2hda,f,daa
)w
K6g6g
6g1
!m










fc
 







 





   

A
S = 2'3 A
2
, V = A
3
––––
'2
3
8

1m
23jI/vw
3!J4aav6g5
c*!x'd*avx6g6g5^
!x'c/d*avMd
JJ
41w
hw 

w 

ww
baw 

w 

ww
bfw 

w

 



w
 w
w
 

u








 

u

 

u1







!J



^






!m


Σ 



!f


u2

2
B







!J

^


!m

!f


k




u


J

α


J
u

1
2
k
 

3
3
av
w


w1









_^

w

A

k
u
fc
4
16
u
5
16




k
u
 
6g1
6g1
jI/
w


J
k
fc6g
2

w


JA
k



u




 

 
 
 
 
 
 


'
'





u
fc
6g3
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





 
_
:
^

_
:
^







k    















  
   




w





D
CEIJ
Prog EProg IProg J
A
Prog D
Prog C







k  





 
_
:
^

 
r 
θ
 

^_





r 
θ


n n n n n 

n 









 
_
:
^

 
r 
θ
 

^_






 
_
:
^

 



r 
θ

><




^_





n n

r 
θ


n n 


n 

n
n 


_
 _
 _
 
k  







 







 










 



k 
 


-

 

-
 


-


 

-
 
a n
b n
c n
n 

-
a n
b n
c n
n 


Σ Σ  
Σ a n
Σ b n
Σ c n
n 

-Σ a n
Σ b n
Σ c n
n

Σ Σ 



-




a n 
b n 
c n 







x y 

x y 



a n
b n
c n
a n 
b n 
c n 
a n 
b n 
c n 
Σ a n
Σ b n
Σ c n
Σ a n 
Σ b n 
Σ c n 
Σ a n 

Σ b n 
Σ c n 

Σ b n 
Σ a n 
Σ b n 
x Σ a n 
y 
k   











 
 
 









_
 


(21, 1)
(21, 7)
(1, 1)
(1, 7)
















 


 




k    
><




r 
θ
× 
><

k 


x 
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 !45

 



 
 


 

 
 
n n 
 
 
 
n n 
 
 



 




k

 
!fc

 !fc
c



k



  
  
  

 
^


k     




 
 
 


k     




u   
 
  
1 2
3 4
5 6

  _


  

u    `
 

  `_


  
u           `
 

  `_




  

u  
 

  _



  
k


  _
  _
  



_
  _
  


J41b 

u      
 

θ

θ

θ

 
 
  
 nn
 
 nn
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 
 nn
 
 nn

 
anbn
 
 
  
  
  
  
 
  
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  
  
  
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  
  
  
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  
  
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  
  
  
  
  
  
 
  

 
 

k


 
 
 

 
k


 
 _   _
 _ _
   _
 _ 
    


J41b 

k     


  
  _  
  _  
  _

 

 
 

k



a
n 
_
 
a n
a n 
_
 
b n
b n 
_
  
  _  
  _ 
 
a 
_  Σ 
 
b 
_  Σ 
 
a n
_
 
b n
_  a n 

k     


 

 
k     

 

k     


   


   

k        

u          




x 

y 





























  
 


  

  

  

  

  







  
 
   
   ˆ
x
   ˆ
x
   
  

  

  

  

 


  _
  _
  _
  _
  _
  

k   



σ











<
x <
p p p 
t 
df




<
x <

p p p 
πσ
2
p = dx
1e2 2
σ
(x μ)2
μ
Upper
Lower
ZUp =
σ
Upper
μ
ZLow =
σ
Lower
μ
tLow = Lower tUp = Upper
Γ2
df + 1
df
x2
1 +
df + 1
2
p = ×
Γ2
df dx
df
×
π
Upper
Lower



df
 
 
 

<x <

p 
F 
ndf ddf





<x <

p p 
1
p = ×
Γ2
df
df
2df
2××
2
1dxx – 1 x
2
e
Upper
Lower
ndf
2ndf
2
p = ×××
Γ2
ndf + ddf
×
Γ2
ndf Γ2
ddf ddf
ndf
ndf + ddf
2
ddf
ndf × xdxx – 1 1 +
Upper
Lower

k   

 

x 

 
 

y 

x 

 
x 

y 
x 
 

x ax b 

x a bx 





·ˆ
x a e bx

·ˆ
x a b x




y 
x 





y 
x 
k

σ



p 

x 
σ


x p p x 

p 

σ


p p
p 

p 

p 
σ

 
p 
 
 
x p 
 
 
x p 
 
 
x x p 


t 
t p 

x df 

x p p x 

t p 

df 

p p 
p 

p t 

p df 

p x p 



p 

x df 

x p p x 


p 

df 

p p 


p 


p df 

p x p 

F 
F p 

x ndf ddf 

x p p x 

F p 

ndf ddf 

p p 


F 

p ndf ddf 

p x p 

p 

x n 

x p p x 

p 

n 

p p 


p n 

p x p 



p 

x 

x p p x 

p 



p p 


p 

p x p 


p 

x 

x p p x 

p 


p p 


p 

p x p 


p 

x n 

x p p x 

p 

n 

p p 


p n 

p x p 

k
 
<
<

>>
 
ρ

ρ




Z 
Z  Z 
 
Z  

σ
on
z p on z p on 
 
Z 

σ


z p o
x
n z p o
x
n 

Z Z 
 
Z 

σ


σ
2
o
n 
o
n 
z p o
o
n 
 n

z p o
o
n 
n 


 
Z 

σ


σ
2


z p o
o



x 

x 
n 
n 
z p o
o



x 

x 
n 
n 

Z  Z 
 
Z p p 
x n
z p pˆ n z p pˆ  n 
Z  Z 
 
Z p 
x 
n 
x 
n 
z p pˆ

pˆ

pˆ  n

 n

z p pˆ

pˆ

pˆ  n

n 

t 
 t 
 


o
x
n





t p o 
x
n 
t 
 

o

x 
n 
o

x 
n 

 


 t p df o
o

x 

x 
n 
n 


 t p df o
o

x 

x 

p
n 
n 


 

 t 
 

ρ


t p df absrr 




 
 
 



p df 

 
 
 


p df 

F 
F F 
 
F 
σ


x 
n 

x 
n 
F p 
x 

x 
n 
n 

 
F 
σ



F p o
o

x 

x 
n 
n 



 
 

 

 
 
 

MatAns = Adf
ERRdf
Ass
ERRss
Ams
ERRms
AF
0
Ap
0

 



 
k  


 
 

 
 

 
 

-

 
 
n I 
 
 
n I 
MatAns =
Adf
Bdf
ABdf
ERRdf
Ass
Bss
ABss
ERRss
Ams
Bms
ABms
ERRms
AF
BF
ABF
0
Ap
Bp
ABp
0






n I PV 

 
 
n I 
 
 
I n 
 
 
n I 


 
n I 
 
 
n I 


 
I 
 
 
 
 
I 
 
 
I 

 
 
I 
 
 
I 
 
 
I 

Σ  
 Σ 
I 
Σ 
 Σ 
I 

 -
 
n I 
 -
 
n I 

 
 
 
 
 
 

 
 

 
 

 
 



4

   
   

  
 


 


 
 

 
 




  
 
 
 
 

 
   
 
 
 
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

m 
n 
o 
p 
q 
r 
s 
t 
u 
v 
w 
x 
y 
z 
{ 
| 
} 
~ ˜
Pol( 
sin 
cos 
tan 
h 
ln

'


+ 
xnor 
2 

( 
Mod 
Σ x
2 
x 
sin
1

cos
1

tan
1

d 
log 
3
'
Abs 
c
xor 
1 
° 
Med 
Σ x 
Rec( 
sinh 
cosh 
tanh 
o 





Int 
Not 
^ 
×
or 
! 
r 
minY 
minX 
n 
sinh
1

cosh
1

tanh
1

b 
10 
Frac 
Neg 
x
'
÷ 
and 
{
g 
maxY 
maxX 
y
2 
Ans 
Ran# 
x¯ 
y¯ 
σ x 
sx 
σ x 
sy 
a 
b 
r 
x
^ 
y
^ 
r 

y 
π 
Cls 
Rnd 
Dec 
Hex 
Bin 
Oct 
@
Norm 
Deg 
Rad 
Gra 
Eng 


Intg 
xy 
Plot 
Line 
Lbl 
Fix 
Sci 
Dsz 
Isz 
Factor 
ViewWindow 
Goto 
Prog 
Graph Y= 
Graph

Graph Y> >
Graph Y< <
Graph Y >
Graph Y <
Graph r= 
Graph(X Y)=( 

P( 
Q( 
R( 
t( 
Xmin 
Xmax 
Xscl 
Ymin 
Ymax 
Yscl 
T
min 
T
max 
T
ptch 
Xfct 
Yfct 
D Start 
D End 
D pitch 
RightXmin 
RightXmax 
RightXscl 
RightYmin 
RightYmax 
RightYscl 
RightT
min 
RightT
max 
RightT
ptch 
StdDev_σ( 
Variance_σ2(

c 
d 
e 
Max( 


Det 
Arg 
Conjg 
ReP 
ImP 
d/d
x ( 
d
2
/d x 2
( 
Solve( 
Σ ( 
FMin( 
FMax( 
Seq( 
Min( 
Mean( 
Median( 
SolveN( 
Red 
Blue 
Green 
MOD( 
MOD_Exp( 
GCD( 
LCM( 
StdDev( 
Variance( 
Mat 
Trn 
Row

Row+ 
Row+ 
Swap 
Dim 
Fill( 
Identity 
Augment( 
List Mat( >
Mat List( >
Sum 
Prod 
Percent 
Cuml 
i 
List 
DList 


Ref 
Rref 
'
Sim Coef 
Ply Coef 
Sim Result 
Ply Result 
n 
I 



PV 
PMT 
FV 
List1 
List2 
List3 
List4 
List5 
List6 
Q
1 
Q
3 
x
1 
y
1 
x
2 
y
2 
x
3 
y
3 
Vct

logab( 
RndFix( 
RanInt#( 
RanList#( 
RanBin#( 
RanNorm#( 
RanSamp#( 
Σ a
n 
Σ b
n 
Σ c
n 
Getkey 
F Result 
F Start 
F End 
F pitch 
R Result 
R Start 
R End 
H Start 
H pitch 
'Simp >
a
n 
a
n
+
1 
a
n
+
2 
n 
a
0 
a
1 
a
2 
b
n 
b
n
+
1 
b
n
+
2 
b
0 
b
1 
b
2 
a
n
Start 
b
n
Start 
And 


Or 
Not 
Xor 
Σ a
n
+
1 
Σ b
n
+
1 
Σ c
n
+
1 
Σ a
n
+
2 
Σ b
n
+
2 
Σ c
n
+
2 
Int÷ 
Rmdr 
Fa 
n1 
n2 
x¯1 
x¯2 
sx1 
sx2 
sp 
pˆ 
pˆ1 
pˆ2 
Lower 
Upper 
P/Y 
C/Y 
Fb 
F 
z 
p 
t 
se 
χ 2 
r
2 
Adf 
Edf 
df 
SSa 
MSa 
SSe 
MSe 
Fab 
Bdf 
ABdf 
pa 
pb 
pab 
CellSum( 
CellProd( 
CellMin( 
CellMax( 
CellMean( 
CellMedian( 
CellIf( 
Y 


r 
Xt 
Yt 
X 
SSb 
SSab 
MSb 
MSab 
[ns] 
[
s] 
[ms] 
[s] 
[min] 
[h] 
[day] 
[week] 
[yr] 
[s-yr] 
[t-yr] 
[
C] 
[K] 
[
F] 
[
R] 
[u] 
[g] 
[kg] 
[lb] 
[oz] 
[slug] 
[ton(short)] 
[ton(long)] 
[mton] 
[l-atm] 
[ft·lbf] 
[calIT] 
[calth] 
[Btu] 
[kW·h] 
[kgf·m] 
[Pa] 
[kPa] 
[bar] 
[mmH
2
O] 
[mmHg] 
[inH
2
O] 
[inHg] 
[lbf/in
2
] 
[kgf/cm
2
] 
[atm] 
[dyne] 
[N] 
[kgf] 
[lbf] 
[tonf] 
[fm] 



[mm] 
[cm] 
[m] 
[km] 
[Mil] 
[in] 
[ft] 
[yd] 
[fath] 
[rd] 
[mile] 
[n mile] 
[acre] 
[ha] 
[cm
2
] 
[m
2
] 
[km
2
] 
[in
2
] 
[ft
2
] 
[yd
2
] 
[mile
2
] 
[m/s] 
[km/h] 
[ft/s] 
[mile/h] 
[knot] 
[mL] 
[L] 
[tsp] 
[cm
3
] 
[m
3
] 
[tbsp] 
[in
3
] 
[ft
3
] 
[fl_oz(UK)] 
[fl_oz(US)] 
[cup] 
[pt] 
[qt] 
[gal(US)] 
[gal(UK)] 
[
m] 
[mg] 
[A] 
[AU] 
[l.y.] 
[pc] 
[ft·lbf/s] 
[calth/s] 
[hp] 
[Btu/min] 
[W] 
[eV] 
[erg] 
[J] 


[cal
15
] 
[kcal
15
] 
[kcalth] 
[kcalIT] 
If 
Then 
Else 
IfEnd 
For 
To 
Step 
Next 
While 
WhileEnd 
Do 
LpWhile 
Return 
Break 
Stop 
Locate

Send( 
Receive( 
OpenComport38k

CloseComport38k

Send38k 
Recieve38k 
ClrText 
ClrGraph 
ClrList 
LinearReg(a+bx)

S-L-Normal 
S-L-Thick 
S-L-Broken 
S-L-Dot 
DrawGraph 
PlotPhase 
DrawDyna 
DrawStat 
DrawFTG-Con 
DrawFTG-Plt 
DrawR-Con 
DrawR-Plt 
DrawR Σ -Con

DrawR Σ -Plt 
DrawWeb 
NormalG 
ThickG 
BrokenThickG

DispF-Tbl 
DispR-Tbl 
SimplifyAuto 
SimplifyMan 
NPPlot 
Sinusoidal 
SinReg 


Logistic 
LogisticReg 
Pie 
Bar 
DotG 
1-Variable 
2-Variable 
LinearReg(ax+b)

Med-MedLine 
QuadReg 
CubicReg 
QuartReg 
LogReg 
ExpReg(a·e^bx)

PowerReg 
S-Gph1 
S-Gph2 
S-Gph3 
Square 
Cross 
Dot 
Scatter 
xyLine
Hist
MedBox 
N-Dist 
Broken 
Linear 
Med-Med 
Quad 
Cubic 
Quart 
Log 
Exp(a·e^bx) 
Power 
ExpReg(a·b^x)

S-WindAuto 
S-WindMan 
Graph X= 
Y=Type 
r=Type 
ParamType 
X=Type 
X>Type >
X<Type <
Y>Type >
Y<Type <
Y tType >
Y sType <
X tType >
X sType <
G-Connect 
G-Plot 
Resid-None

Resid-List 



BG-None 
BG-Pict 
GridOff 
GridLine 
GridOn 
Exp(a·b^x) 
D Var 
Q1Q3TypeStd 
VarRange 
Q1Q3TypeOnData

SketchNormal

SketchThick 
SketchBroken

SketchDot 
a
n
Type 
a
n
+
1
Type 
a
n
+
2
Type 
StoPict 
RclPict 
StoGMEM 
RclGMEM 
StoV-Win 
RclV-Win 

Data 
Menu 
RclCapt 
Tangent 
Normal 
Inverse 
Vertical 
Horizontal 
Text

Circle 
F-Line 
PlotOn 
PlotOff 
PlotChg 
PxlOn 
PxlOff 
PxlChg 
PxlTest( 
SortA( 
SortD( 
VarList1 
VarList2 
VarList3 
VarList4 
VarList5 
VarList6 
File1 
File2 
File3 
File4 
File5 


File6 
Y=DrawSpeedNorm

Y=DrawSpeedHigh

FuncOn 
SimulOn 
AxesOn 
CoordOn 
LabelOn 
DerivOn 
LocusOn 
Σ dispOn 
G SelOn 
T SelOn 
D SelOn 
R SelOn 
DrawOn 
ab/c 
d/c 
FuncOff 
SimulOff 
AxesOff 
CoordOff 
LabelOff 
DerivOff 
LocusOff 
Σ dispOff 
G SelOff 
T SelOff 
D SelOff 
R SelOff 
DrawOff 
'Dec >
'Hex >
'Bin >
'Oct >
'DMS >
'a+b
i >
'r >
Real 
a+b
i 
r 
EngOn 
EngOff 
Sel a
0 
Sel a
1 
c
n 
c
n
+
1 
c
n
+
2 
c
0 
c
1 
c
2 
c
n
Start 
IneqTypeIntsect

f
n 
File 


VarList 
ClrMat 
ZoomAuto 
Xdot 
RightXdot 
DrawDistNorm

DrawDistT 
DrawDistChi 
DrawDistF 
None 
StickLength 
StickHoriz 
IneqTypeUnion 
Graph X> >
Graph X< <
Graph X >
Graph X <
StrJoin( 
StrLen( 
StrCmp( 
StrSrc( 
StrLeft( 
StrRight(

StrMid( 
Exp 'Str( >
Exp( 
StrUpr( 
StrLwr( 
StrInv( 
StrShift( 
StrRotate( 
ClrVct 
Str 
CrossP( 
DotP( 
Norm( 
UnitV( 
Angle( 
ColorAuto 
ColorLighter

ColorLinkX&Y 
ColorLinkOnlyX

ColorLinkOnlyY

ColorLinkOn 
ColorLinkOff 
ColorNormal 
ERROR 
BLANK 
ColorClr 
ColorLinkX&Freq

NormPD( 
NormCD( 
InvNormCD( 
tPD( 
tCD( 



InvTCD( 
ChiPD( 
ChiCD( 
InvChiCD( 
FPD( 
FCD( 
InvFCD( 
BinomialPD( 
BinomialCD( 
InvBinomialCD(

PoissonPD( 
PoissonCD( 
InvPoissonCD( 
GeoPD( 
GeoCD( 
InvGeoCD( 
HypergeoPD( 
HypergeoCD( 
InvHypergeoCD(

SetG-Color 
Plot/Line-Color

AxesScale 
Black 
Magenta 
Cyan 
Yellow 
Smpl_SI( 
Smpl_SFV( 
Cmpd_n( 
Cmpd_I ( 
Cmpd_PV( 
Cmpd_PMT( 
Cmpd_FV( 
Cash_NPV( 
Cash_IRR( 
Cash_PBP( 
Cash_NFV( 
Amt_BAL( 
Amt_INT( 
Amt_PRN( 
Amt_ Σ INT( 
Amt_ Σ
PRN(

Cnvt_EFF( 
Cnvt_APR( 
Cost( 
Sell( 
Margin( 
PmtEnd 
PmtBgn 
Bond_PRC( 
Bond_YLD( 
DateMode365 
DateMode360 
PeriodsAnnual 
PeriodsSemi 


Days_Prd( 
OneSampleZTest

TwoSampleZTest

OnePropZTest

TwoPropZTest

OneSampleTTest

TwoSampleTTest

LinRegTTest 
ChiGOFTest 
ChiTest 
TwoSampleFTest

OneWayANOVA

TwoWayANOVA

x1InvN 
x2InvN 
xInv 
SketchThin 
S-L-Thin 
ThinG 
zLow 
zUp 
tLow 
tUp 




! 
2 
–1 
an

bn 
[K] 
[N] 
[L] 
[A] 
[AU] 
[W] 
[J] 
cn 
E 
- 
r 



 



>


 × × × 
egcw
w
ww
w

 



 
 
 
 
 



dw
baw
bw
w

9



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
k
= 
× sdaw

u



25



 
 
f x 
a+x+bw


 
a+w
 


cw
 


baw
 
m 





m 



m 


n m <

cw

 




albw
w
fc


6w
k
a5

k
× 
× 
× 

= 



u

  
  
  
  


× 
!.= avc*alcw


22c1c1J


k




u

!.= avb+fw

u

!.= 1d1+fw
126 
15

k













u
2

!.= 2al2b

k

u

!f

 
 bbi

 cbi

 dbc
J

k


u


22
1
J




1


J
k








u


21
1
J




1




k




 
×  
× 
× 
× 



×  
× 
× 
× 
u


26g1





× !.= avb*cww



6w


k

u




 26g2
 26g3
k
u
3






3
J
12
u
33
16


u


 
 

 
 
4
J
12

k




u


 
 51
 52
 53




k


 




4



>
>




51






52






53




 



54






55






56



k



!.= 55
Javb3alf)


J14 
!iecccc 
w)
w


-<

k

6g5
12

u
-



u



<-
<<


-

>
<
k


u

6g5
fc
fc1
2

fc

 
 


 


fc1




J
 

u




12<<

12


 


w

342
3
2
3
u






2
2
-
-
-
2
-1


2

3

4
5




 

u



52
k


 


  
 <   
    

u 
  
  6g5

  c6g1<
<
  caw
  c1


  f2
  
1aw
baaw
1

  J







x 

y 




k

  
x 
  
y 
u


x y 

6g11



6



k

u



6g16




 
 
 
 

 
 

 
 
x 

 
y 


 
 
1
  k
fc



12
1-

Jw
k
xy 
  
x 
  
y 
u
x y 


6g2
2

cf
J
-
J

k

u

6g26


 
 
 
 

 



x 





x 
y 
fc

1
1
2
Jw

k



 
 


 
 



 
 
 
 





 
  

 

 
  
 


 





u
  
  

  
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
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  fc1

  J
  1



  !1

  fc!f
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
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
k
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
6g3
2
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6g33



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6g34
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

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
6g3
5









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
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
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

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 

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6g4
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6g42
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
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6g4
4
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
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
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
u

6g43

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6w





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  ~
u
fc1w

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
16
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4




w


J




k
 
 fc
 !f6g1
3
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4
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 6g12
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
u


 
3

3

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


u



]'


5
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 
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A
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
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w

]'

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
u

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 
3
3

fc

s'!5π cg


w

u
'

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


u
'
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



u
'





J


k
w


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 
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
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
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 
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  
n n   
@  
@  
  
  
n n   
n n   
  
11-4
图标/数据名称 内容 覆盖检查
MAT n n = A至Z,和Ans) 矩阵
VCT n n = A至Z,和Ans) 向量
@PICTPLT Picture Plot组
PICTPLOT Picture Plot数据
PROGRAM 程序组
每个程序名称 程序
RECURSION 递归数据
S-SHEET 数据表格组
_SETTING 数据表格 模式设置数据
每个数据表格名称 数据表格数据
SETUP 设置数据
STAT 统计结果数据
STRING 字符串存储器组
STRING n n = 1至20) 字符串存储器
SYSTEM 操作系统和应用程序共享数据(剪贴
板、重放、历史等等)
TABLE 表格数据
FINANCE 金融 模式数据
V-WIN 视窗存储器组
V-WIN n n = 1至6) 视窗存储器
Y=DATA 图形表达式
每个附加应用程序名称 应用程序特定数据
*
启动E-CON4(ver3.10或更高版本)会使SUnnn转换为SCnnn。 如果SCnnn已经存在,启
动E-CON4(ver3.10或更高版本)将删除SUnnn而不将其进行转换。
永久存储器*
1
图标 文件扩展名 描述
.g1m、.g2m、.g3m、
.g1r或者.g2r
主存储器信息屏幕中列出的且已复制到永久存储器
的数据项目。
.g1e、.g2e或者.g3e eActivity文件
.g3a,.g3l .g3a:附加应用程序
.g3l: 附加语言和附加菜单

  
 
 
 
 
 
 



k
u
41





J
w





u

42


k
5e


5
e
Jd

5
e
Jd
e
d
ed

fc


k
1
1

1


w


J


k
u


2




fc1
1


J
56


II 
w


u





2





u











1
6
A




k
u



6
16
u
 

3
w




k
u
4
1

fc
w


 16
 

J

u
4

2

fc
w






J
1
 6

J

k





u
 5

J







1
2
3
4
5
6g1
6g2
6g5

k
1
e
e
1
J!J
12

k
u
2
1
2
J!J
u
2
fc
1
2
3
J!J

k

u
3
fc1
J
J!J
u
3
6
fc1
J
6
J!J
12-4
k 版本列表
使用版本显示操作系统版本。
u 显示版本信息
1. 在显示初始 系统管理 模式屏幕时,按下 4(版本),显示版本列表。
2. 使用 fc,滚动屏幕。列表内容如下所述。
- 操作系统版本
- 附加应用程序名称和版本(只显示安装的附件)
- 消息语言和版本
- 菜单语言和版本
3. 按下 J!J(QUIT),返回到初始 系统管理 模式屏幕。
k
1. 在显示初始 系统管理 模式屏幕时,按下 5(复位),显示复位屏幕1。
1(设置)... {设置初始化}
2(主内存)... {主存储器数据清空}
3(插件)... {附加应用程序清空}
4(存储器)... {永久存储器数据清空}
5(A&S)... {附加应用程序和永久存储器数据清空}
在上述屏幕中按下 6g),显示下图所示复位屏幕2。
1(M&S)... {主存储器数据和永久存储器数据清空}
2(全部)... {所有存储器清空}
3(语言)... {附加语言清空}
4(复位1)... {除了一些附加应用程序*,所有存储器清
空}
* 有关哪些附加应用程序不被清空的信息,请访问下面的
网站。
http://edu.casio.com/cgreset
12-5
下表显示了各功能键的功能。您可使用功能键删除特定数据。
功能键功能
初始化
设置信息
删除主存
储器数据
删除附加
应用程序
删除附加
语言
删除永久存储器
数据(不包括附加
应用程序和语言)
1(设置)
2(主内存)
3(插件)
4(存储器)
5(A&S)
6g
1(M&S)
6g
2(全部) *1
6g
3(语言)
6g
4(复位1) *2 *1
*1 如果在系统语言设置(第12-3页)中选择附加语言,那么所选的附加语言文件(g3l)不会被
删除。
*2 一些附加应用程序不会被删除。有关哪些附加应用程序不会被删除的信息,请访问下面的
网站。
http://edu.casio.com/cgreset
2. 按下与想要执行的复位操作对应的功能键。
3. 针对显示的确认消息,按下 1(是),执行指定的复位操作;或者按下 6(否)取消操作。
4. 完成复位操作时显示一条提醒消息。
在第2步按下 2(主内存)时显示的
屏幕。
在第3步按下 1(是)时显示的
屏幕。
重要!
请注意,删除附加语言数据会导致语言设置自动切换为英语。删除的语言不再用于显示。


6g2





k


u
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
fc
1
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
k



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w
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u
6g2
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
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k















  







k





13

u
5



1




k
!h

61
62

k


1

2
®





3
®


4


 
 

13-3
1. 计算器和个人计算机间数据通信
在计算器和计算机之间创建USB连接后,计算机会将计算器的永久存储器识别为大容量存储驱
动器。连接后可立即自动将主存储器内容读入永久存储器,这样可通过计算机访问主存储器数
据。在创建连接后,只可使用计算机操作在计算器和计算机间传输数据。
k 计算机系统最低要求
下列是计算机与计算器交换数据的最低要求。
USB端口
运行下列某一操作系统。
Windows
7(32位,64位)
Windows
8.1 (32位,64位)
Windows
10 (32位,64位)
OS X 10.10、OS X 10.11、macOS 10.12、macOS 10.13
k 在大容量存储器模式下连接和断开计算机
使用计算器附带的USB电缆连接到计算机。
重要!
当正在进行数据通信操作时,千万不要触碰USB插头和计算器屏幕。您手指上的静电会导致数
据通信操作中断。
u 在计算器和计算机间创建连接
1. 启动计算机。
2. 计算机启动后,使用USB电缆连接到计算器。
计算器会自动启动,出现“选择连接模式”屏幕。
13-4
3. 按下 1(USB闪存盘)。
在计算器屏幕上出现“准备USB”。等待片刻,不要在
计算器上执行任何操作。在计算器和计算机间创建连接后
将出现旁边所示的屏幕。
4. 在计算机上打开计算器驱动器。
如果您使用的是Windows操作系统,计算器驱动器的位置将取决于您的Windows版本。使
用Windows资源浏览器打开计算器驱动器。
- Windows 7:在“计算机”里
- Windows 8.1:在“电脑”里
- Windows 10:在“此电脑”里
在OS X/macOS下,计算器驱动器图标会出现在Mac桌面上。双击图标打开。
计算器驱动器代表计算器的永久存储器。
5. 在计算机上执行所需操作传输数据。
关于数据传输操作的详细说明,请参见“计算器和个人计算机间传输数据”(第13-5页)。
u 要在计算器和计算机间断开连接
1. 如果计算器已连接到Windows计算机,注意指定给计算器驱动器的驱动符(E、F、G等)。
2. 根据计算机运行的操作系统类型,执行以下某一操作。
重要!
从计算器上断开USB电缆之前,需根据计算机运行的操作系统类型,执行以下某一操作。
Windows:单击显示屏右下角任务栏上的“安全删除硬件”图标。在出现的菜单上,选择
步骤1中确定的计算器驱动器盘符代表的“USB大容量存储设备”。检查确认是否出现“安
全删除硬件”消息。
Mac OS:拖动计算器驱动器图标到弹出图标(回收站图标)。检查确认计算器驱动器图标
从桌面上消失。
3. 在计算器屏幕上出现“主存储器更新中”。等待片刻,不要在计算器上执行任何操作。更新
主存储器操作完成时显示“完毕!”消息。如需关闭消息对话框,按下 J
4. 断开计算器USB电缆。
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k


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
16K
ed
J
u
3

3cfw
3f
14
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k

u1
 
 
 
 
 
u1e
 
 
 
 
 
 
 
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 
 
 
 
 
 
 

u3
 
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 
 
 
 
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 
 
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 
 
 
 
u4
 
 
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 
 
 
 
 
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 
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 
 
 
 
 
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 
 
 

 
 
 
 
 
 
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 
 
 
 
 
 
 

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 
 
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 
k
 
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
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efg
bcd
k
1a
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

k

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1

1
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1

6

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 1

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1

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
16
J
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1

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
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
w

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w



w

w






u
3e


u
3e3e

w



w


w



u
3e
w

w

J

u
3e

w



u
3e


w




k


u
Jo

 
 
w
 k

u
Jo

 

x2

u
Jo

k
k
w
k
u
2
u
o2

k


u
2
!f


 
 bbi

 c
bcf
 dbi

 ebi
v
 fbc


J
u


!f


k
4

u

4




u

4




u

4




u

4
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

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
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
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
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
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 
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

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u
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k
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
u

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

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u

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
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
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

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u

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 
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

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u
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
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  
w

  

v 

u



D2

u
2



 1
16

o
k

u

K

u
K
k



Ke
Ke
Ke







k

 
u
!m
fc
 
 1
 2
 3

fc1
w


fc
 
 1
 2
 3
J
k


   
   
 
u
!m

 
 1
 2
 1
 2
 1
bi
 2
J

k
y 
y x y 


 
u
!3

1
J
k


u
1e
 
w
  


J

w   
 
u
.1e
 

J
k 

u
1e

w


w


u
+1e
1e
u
-1e
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
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``
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 w
 w
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
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 w
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 w
u
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
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 
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 
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
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 
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
15
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

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
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
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


u
K12


u
K13



fc1
1
w

f x 
k 
u




K2

w



K2




K3


J!J
u
bj
hij
efg
bcd
u


K6g5
1
2de
JK6g5


u
K6g3
K2K3





edw

w


J!J
u


!f



u
K6g41
6



kf x 
f x K4-



3
5

K5

k

u

K6g2





3


5

f x 
6





-


f x 

u



K6g5


u
!6

k




K12
3
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w

w
w

J




k







u
41
w
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
w

u
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




3de

de

fc


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


1
2
3
4
1
2
k
w


6
u

1
2
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3
4





u

1
2

3




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
u

1
2




u




u








k

6

u
u
v
u
u


k


k

K2

1
2
3
4
A
k



k
 

!1


12


v

v
!1
k



!21
2
3x
4y
5z
6
k






!41
2
3
 
w

k
xyz



u

!51

1x

2y
3z



u

3x
4y
5z
6
u
12


k




u

 

 

6
!52

J


12


k




u



6
!53

J
12

=
−1
−2
1
1
1
0
+ t
r
1
2
0
1
1
0
0
1
1
+ t+ s
=
r



 

  
 

J

 



 







 


 







 


 



r
θ
r 
θ






n r 


 




α


  
 '


'





 

  

 





  
 




x 

x 




 

  


 J

 


 
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 
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
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





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
× 
× × 

 

  
  
  
  
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  
  
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x x x 
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 
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  
  14
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
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  
 1
n n
2
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1n n
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

  
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

  

 
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  
 


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 
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 

  
 
5




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
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

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
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  
 
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  
  
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 
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

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
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  
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
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
 
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 
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
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  
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
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 
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x
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x n 

x π n 

x n 


x


x


x
x <



x <× 

x
x
x
x <  

x <× 



x


x


x
x <× 

 
<
x <× 

x <

x
x × 

<x <× 


 

x
e x
× 

<x <

 
× 

<x <
'
x
x 
<x <× 


 x <× 

x

'
x
x <× 

x 

 x <× 

x  <x <

x 


n r
n r
<× 

n r n r 
<r <n n <× 



x y 
x 
y 
<×





r 
θ


r <× 


θ
<× 


θ
<× 

π 

θ
<× 





θ

θ
n 

θ
π n 

θ
n 

  
  
° ’
←⎯
° ’
a b c <× 

<b c



± 

x <× 


x <× 

^x y

x >
× 

<y x <
x y >
x <y n m
––––
2 n+1
m n 

× 

<y x <
 
 
x '
y
y >x 
× 

<1
xy <
y x >
y <x n 2n+1
––––
m
m m n 

× 

<1
xy <
 
 
a b / c 
  
± ± 

^
x y

x '
y
x ! 

'
x
n r n r 
 
 




<
<
 <x <
 <x <
<x <
 <x <
<x <
 <x <
β





^_
󰝬







u
!o
cho



1

2

J


β
β
u
 




a-
 





  

  
  
  
  
u
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E-CON4
Application
(English)
Important!
All explanations in this section assume that you are fully familiar with all calculator and Data
Logger (CMA CLAB* or CASIO EA-200) precautions, terminology, and operational procedures.
CLAB firmware must be version 2.10 or higher. Be sure to check the firmware version of your
CLAB before using it.
* For information about CMA and the CLAB Data Logger, visit http://cma-science.nl/.
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E-CON4 Mode Overview
1. E-CON4 Mode Overview
The first time you enter the E-CON4 mode, a screen will appear for selecting a Data Logger.
Data Logger Selection Screen
Press 1(CLAB) or 2(EA-200) to select the Data Logger you want to use.
Selecting a Data Logger will cause the sampling screen (Time-based Sampling screen) to
appear.
Use the sampling screen to start sampling with the Data Logger and to view a graph of
samples.
CLAB EA-200
There are four sampling modes (sampling screens), described below.
1. Time-based Sampling ... Draws a graph simultaneously as sampling is performed. Note,
however, that the graph is drawn after sampling is finished when
CH1, 2, or 3, SONIC, or [START] key is specified as the trigger
source, or when the sampling interval is less than 0.2 seconds.
2. Fast Sampling ... Select to sample high-speed phenomena (sound, etc.)
3. Period Sampling ... Select to perform periodic sampling starting from a start trigger event
and ending with an end trigger event.
4. Manual Sampling ... Sampling is performed when the [EXE] key is pressed. Up to 100
samples can be taken by manual operation. Sampled data is stored in
the Statistics mode list. (CLAB only)
5. Mic & Speaker Mode ... Select to sample sound using the built-in microphone. You can
also output a waveform using the built-in speaker. (EA-200 only)
The Data Logger selection screen will not appear from the next time you enter the E-CON4
mode. Instead, the Time-based Sampling screen for the selected a Data Logger will appear
first.
To change the Data Logger, change the setting on the E-CON4 setup screen.
Connecting a Data Logger that is different from the one specified for the calculator will
cause an error message to appear. If this happens, use the setup screen to change the
“Data Logger” setting.
ε-2
E-CON4 Mode Overview
E-CON4 Specific Setup Items
The items described below are E-CON4 setup items that displayed only when the
!m(SET UP) operation is performed in the E-CON4 mode.
Indicates the initial default setting of each item.
Data Logger
{CLAB}/{EA-200} ... {CLAB Data Logger}/{EA-200 Data Logger}
Graph Func
{On}/{Off} ... {show graph source data name}/{hide graph source data name}
Coord
{On}/{Off} ... {show coordinate values}/{hide coordinate values} during trace operations
E-CON Axes
{On}/{Off} ... {show axes}/{hide axes}
Real Scroll
{On}/{Off} ... {enable real-time scrolling}/{disable real-time scrolling}
CMA Temp BT01
{°C}/{°F} ... CMA Temperature BT01 measurement unit {°C}/{°F}
CMA Temp 0511
{°C}/{°F} ... CMA Temperature 0511 measurement unit {°C}/{°F}
CASIO Temp
{°C}/{°F} ... CASIO Temperature measurement unit {°C}/{°F}
Vrnr Baro
{atm}/{inHg}/{mbar}/{mmHg} ... Vernier Barometer measurement unit {atm}/{inHg}/
{mbar}/{mmHg}
Vrnr Gas Prs
{atm}/{inHg}/{kPa}/{mbar}/{mmHg}/{psi} ... Vernier Gas Pressure measurement unit
{atm}/{inHg}/{kPa}/{mbar}/{mmHg}/{psi}
Vrnr Mag F L
{mT}/{gauss} ... Vernier Magnetic Field Low-amp measurement unit {mT}/{gauss}
Vrnr Mag F H
{mT}/{gauss} ... Vernier Magnetic Field High-amp measurement unit {mT}/{gauss}
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Sampling Screen
2. Sampling Screen
Changing the Sampling Screen
On any sampling screen, press 5(MODE) to display the sampling mode selection screen.
CLAB EA-200
Use keys b through e to select the sampling mode that matches the type of sampling
you want to perform.
Time-based Sampling Screen
CLAB EA-200
CLAB has three channels named CH1, CH2, and CH3.
EA-200 has four channels named CH1, CH2, CH3, and SONIC. Note, however, that up to
only three channels can be used for sampling at any one time. If you try to start sampling
with four channels at the same time, a “Too Many Channels” error will appear.
Fast Sampling Screen
CLAB EA-200
Both CLAB and EA-200 can use CH1 only.
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Sampling Screen
Period Sampling Screen
CLAB EA-200
With CLAB, only CH1 can be used.
EA-200 has two channels (CH1 and SONIC). However, only one of these can be used.
Manual Sampling Screen (CLAB Only)
CLAB
There are three channels named CH1, CH2, and CH3.
Mic & Speaker Mode Screen (EA-200 Only)
On the sampling mode selection screen, pressing e(Mic & Speaker Mode) displays the
dialog box shown below.
Select Microphone or Speaker.
Selecting Microphone
This displays the dialog box shown below.
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Sampling Screen
“Sound wave” records the following two dimensions for the sampled sound data: elapsed
time (horizontal axis) and volume (vertical axis).
“FFT” records the following two dimensions: frequency (horizontal axis) and volume (vertical
axis).
Selecting “Sound wave” here will display the Mic & Speaker Mode screen.
Selecting “Sound wave & FFT” or “FFT only” will display the dialog box shown below.
Selecting an option automatically configures parameters with the fixed values shown in the
table below.
Option
Parameter 2 - 1000Hz: 14 - 2000 Hz: 26 - 3000 Hz: 38 - 4000 Hz: 4
Frequency Pitch 2 Hz 4 Hz 6 Hz 8 Hz
Frequency
Upper Limit 1000 Hz 2000 Hz 3000 Hz 4000 Hz
Sampling Period 61 μsec 31 μsec 20 μsec 31 μsec
Number of
Samples 8192 8192 8192 4096
Using a function key (1 through 4) to select an FFT range, will cause a Mic & Speaker
Mode screen to appear.
Selecting “Sound wave & FFT” Selecting “FFT only”
ε-6
Sampling Screen
Selecting Speaker
This displays the dialog box shown below.
Selecting “Sample Data” here will display the Mic & Speaker Mode screen.
After selecting “y=f(x)”, perform the steps below.
From the EA-200, output the sound of the waveform indicated by the function input on the
calculator, and draw a graph of the function on the calculator unit screen.
1. Use the data communication cable (SB-62) to connect the communication port of the
calculator with the MASTER port of the EA-200.
2. On the above dialog box, select “y=f(x)”.
This displays a dialog box like the one shown below.
3. Press w to display the View Window screen.
The following settings will be configured automatically Ymin = −1.5, Ymax = 1.5. Do not
change these settings.
4. Press w or J to display the function registration screen.
5. In the “Y1=” line, register the function of the waveform of the sound you want to output.
For the angle unit, specify radians.
Register a function with an Y-value within the range of ±1.5.
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Sampling Screen
6. Press 6(DRAW) to draw the graph.
Drawing the graph causes a vertical cursor to appear on the display, as shown on the
screenshot below. Use this graph to specify the range of the sound output from the
speaker.
7. Use the d and e keys to move the vertical cursor of the output range start point and
then press w to register the start point.
8. Use the d and e keys to move the vertical cursor of the output range end point and
then press w to register the end point.
Setting both the start point and end point will cause the Output Frequency dialog box
shown below to appear.
R
9. Specify the output frequency percent (%) value.
To output the original sound unchanged, specify 100 (%). To output a sound one octave
higher than the original sound, input 200 (%). To output a sound one octave lower than
the original sound, input 50 (%).
10. Input a percent (%) value and then press w.
This outputs the sound of the waveform within the selected range.
If the specified result cannot be output as a sound, the message “Range Error” will
appear. If this happens, press J to display the screen shown below and change the
settings.
11. To stop sound output on the EA-200, press the [START/STOP] key.
12. Press w.
This displays a screen like the one shown below.
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Sampling Screen
13. Depending on what you want to do, perform one of the operations below.
To change the output frequency and try again:
Press 1(Yes) to return to the Output Frequency dialog box. Next, perform the operation
starting from step 9, above.
To change the output range of the waveform graph and try again:
Press 6(No) to return to the graph screen in step 6, above. Next, perform the operation
starting from step 7, above.
To change the function:
Press 6(No)J to return to the function registration screen in step 5, above. Next,
perform the operation starting from step 5, above.
To exit the procedure and return to the sampling mode selection screen:
Press 6(No). Next, press J twice.
Sampling Screen Function Menu
1(SENSOR) …… Selects the sensor assigned to a channel.
2(CONFIG) …… Select to configure settings that control sampling (sampling period,
number of samples, warm-up time, etc.)
3(CALIB) …… Performs auto sensor calibration.
4(OTHER) …… Displays the submenu below.
1(GRAPH) …… Graphs the samples measured by the Data Logger. You can
use various graph analysis tools. (Cannot be used on the Period
Sampling screen.)
2(MEMORY) …… Saves Data Logger setup data.
5(INITIAL) …… Initializes setting parameters.
6(ABOUT) …… Shows version information about the Data Logger currently
connected to calculator.
5(MODE) …… Selects a sampling mode.
6(START) …… Starts sampling with the Data Logger.
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Auto Sensor Detection (CLAB Only)
3. Auto Sensor Detection (CLAB Only)
When using a CLAB Data Logger, sensors connected to each channel are detected
automatically. This means that you can connect a sensor and immediately start sampling.
1. On the setup screen, select “CLAB” for the “Data Logger” setting.
2. Connect the CLAB Data Logger to the calculator.
3. Connect a sensor to each of the CLAB channels you want to use.
Detection of a sensor will cause a screen like the one below to appear.
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1 Show the names of the sensor connected to each channel.
2 Show the current sample values of each channel.
3 Selecting (highlighting) a channel causes to appear next to it. Pressing e displays
sensor details as shown below for the currently selected sensor.
4. Press 6(START) to start sampling.
Some sensors do not support auto detection. If this happens, press 1(SENSOR) and
then select the applicable sensor.
Note
If a sensor that supports auto detection is not detected automatically, restart CLAB.
ε-10
Selecting a Sensor
4. Selecting a Sensor
On the sampling screen, press 1(SENSOR) to display the sensor selection screen.
Assigning a Sensor to a Channel
1. On the sampling screen, use f and c to select the channel to which you want to
assign the sensor.
2. Press 1(SENSOR).
This displays the sensor selection screen like the one shown below. The appearance of
the sensor selection screen depends on the Data Logger type and the selected channel.
3. Press one of the function keys below.
CH1, CH2, CH3
1(CMA) … Displays a list of CMA sensors.
2(CASIO) … Displays a list of CASIO sensors.
3(VERNIER) … Displays a list of Vernier sensors.
4(CUSTOM) … Displays a list of custom sensors. See “7. Using a Custom Probe”
(page ε-23).
5(None) … Even if a sensor is connected, it is disabled.
6(RESCAN) … Deletes the sensor currently assigned to a channel (CLAB only).
SONIC (EA-200 only)
2(CASIO) … Displays a list of CASIO sensors. Only “Motion” can be selected.
3(VERNIER) … Displays a list of Vernier sensors. You can select either “Motion” or
“Photogate”.
5(None) … SONIC channel not used.
Note
After selecting “Motion” on either the CASIO or the Vernier sensor list, pressing K
will toggle smoothing (sampling error correction) between on and off. “-Smooth” will be
shown on the display while smoothing is on. Nothing is displayed when off.
Selecting “Photogate” on the Vernier sensor list will display a menu that you can use to
select [Gate] or [Pulley].
[Gate] ... Photogate sensor used alone.
[Pulley] ... Photogate sensor used in combination with smart pulley.
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Selecting a Sensor
Pressing a function key displays a dialog box like the one shown below. This shows the
sensors that can be assigned to the selected channel.
4. Use f and c to select the sensor you want to assign and then press w.
This returns to the screen in step 1 of this procedure with the name of the sensor you
assigned displayed. At this time there will be a lock ( ) icon to the right of the sensor
name. This icon indicates the sensor you assigned with the operation above.
Note
You can also assign a custom probe to a channel. To do so, press 4(CUSTOM) to
display the custom probe list. Use this list to select a custom probe and then press w.
Disabling a Sensor
Perform the steps below when you do not want to perform sampling with a sensor that is
connected to the Data Logger.
1. On the sampling screen, use f and c to select the sensor you want to disable.
2. Press 1(SENSOR).
This displays the sensor selection screen.
3. Press 5(NONE).
This returns to the screen in step 1 of this procedure with no sensor assigned to the
channel. There will be a lock ( ) icon indicated for the channel in this case.
The above operation also disables sensor auto detection.
Removing the Sensor Assigned to a Channel (CLAB Only)
1. On the sampling screen, use f and c to select the sensor you want to remove.
2. Press 1(SENSOR).
This displays the sensor selection screen.
3. Press 6(RESCAN).
This returns to the screen in step 1 of this procedure with no sensor assigned to the
channel. There will be no lock ( ) icon indicated for the channel in this case.
The above operation also enables sensor auto detection.
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Configuring the Sampling Setup
5. Configuring the Sampling Setup
You can configure detailed settings to control individual sampling parameters and to
configure the Data Logger for a specific application. Use the Sampling Config screen to
configure settings.
There are two configuration methods, described below.
Method 1 ... With this method, you configure settings for the sampling interval (Interval)
and number of samples (Samples).
Method 2 ... With this method, you configure settings for the number of samples per
second (Sample/sec) and the total sampling time (Total Time).
You can also use the Sampling Config screen to configure trigger settings. See “Trigger
Setup” (page ε-15).
Initial default settings are shown below.
Setting Method: Method 1
Interval: 0.2 sec
Samples: 101
Sample/sec: 5 (This setting is not displayed in the case of Method 1.)
Total Time: 20 sec
Warm-up: Auto
In the case of “Manual Sampling”, a special Manual Sampling Config screen will appear. For
more information, refer to “Configuring Manual Sampling Settings” (page -19).
Using Method 1 to Configure Settings
1. On the sampling screen, press 2(CONFIG).
This displays the Sampling Config screen with “Interval” highlighted.
2. Press 1(sec) or 2(min) to specify the sampling interval unit.
3. Press e.
This displays a dialog box for configuring the sampling interval setting.
4. Input the sampling interval and then press w.
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Configuring the Sampling Setup
5. Press c to move the highlighting to “Samples”.
When the sampling mode is “Periodic Sampling” and a CMA or Vernier Photogate
Pulley is assigned to the channel, “Distance” will be displayed in place of “Samples”. For
information about “Distance”, see “To configure the Distance setting” below.
6. Press e.
This displays a dialog box for specifying the number of samples.
7. Input the number of samples and then press w.
8. Press c to move the highlighting to “Warm-up”.
9. Press one of the functions keys below.
1(Auto) … Automatically configures warm-up time settings for each sensor.
2(Manual) … Select for manual input of the warm-up time in seconds units.
3(None) … Disables warm-up time.
Pressing 2(Manual) displays a dialog box for specifying the warm-up time. Input the
warm-up time and then press w.
When the sampling mode is “Fast Sampling”, “FFT Graph” will be displayed in place
of “Warm-up”. For information about “FFT Graph”, see “To configure the FFT Graph
setting” below.
10. After all of settings are the way you want, press J.
This returns to the sampling screen.
To configure the Distance setting
Move the highlighting to “Distance” and then press 1(NUMBER). This displays a dialog box
for specifying the drop distance for the smart pulley weight.
Input a value from 0.1 to 4.0 to specify the distance in meters.
To configure FFT Graph setting
In place of step 9 of the procedure under “Using Method 1 to Configure Settings”, specify
whether or not you want to draw a frequency characteristics graph (FFT Graph).
1(On) ... Draws an FFT graph after sampling is finished. Use the dialog box that
appears to select a frequency.
2(Off) ... FFT Graph no drawn after sampling is finished.
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Configuring the Sampling Setup
Using Method 2 to Configure Settings
1. On the sampling screen, press 2(CONFIG).
This displays the Sampling Config screen.
2. Press 5(Method2).
This will cause the highlighting to move to “Sample/sec”.
3. Press e.
This displays a dialog box for specifying the number of samples per second.
4. Input the number of samples and then press w.
5. Press c to move the highlighting to “Total Time”.
6. Press e.
This displays a dialog box for specifying the sampling time.
7. Input the sampling time and then press w.
8. Press c to move the highlighting to “Warm-up”.
Use the same procedure as that for Method 1 to configure the “Warm-up” setting.
9. After all of settings are the way you want, press J.
This returns to the sampling screen.
To switch between Method 1 and Method 2
If the current method is Method 1, press 5(Method2) to switch to Method 2. This will cause
the highlighting to move to “Sample/sec”.
If the current method is Method 2, press 4(Method1) to switch to Method 1. This will cause
the highlighting to move to “Interval”.
If the highlighting is located at “Warm-up”, it will not move when you switch from Method 1 to
Method 2.
Switching from Method 1 to Method 2 will cause Method 2 values to be automatically
calculated and configured in accordance with the values you input with Method 1. Values are
also automatically calculated when you switch from Method 2 to Method 1.
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Configuring the Sampling Setup
Input Ranges
Method 1
Interval (sec): 0.0005 to 299 sec
(0.02 to 299 sec for the Motion sensor. 0.0025 to 299 sec for the CLAB
built-in 3-axis accelerometer.)
Interval (min): 5 to 240 min
(With some sensors, a setting of five minutes or greater is not supported.)
Samples: 10 to 10001
Method 2
Sample/sec: 1 to 2000
(1 to 50 sec for the CMA Motion sensor. 1 to 400 for the CLAB built-in 3-axis
accelerometer.)
An error message will be displayed if you input a value for a setting that causes the
automatically calculated number of samples (Samples) setting to become a value that is
outside the allowable input range.
Only Method 1 settings are supported when the Interval setting is 5min or greater.
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You can use the Trigger Setup screen to specify the event that causes sampling to start (w
key operation, etc.). The event that causes sampling to start is called the “trigger source”,
which is indicated as “Source” on the Trigger Setup screen.
The following table describes each of the eight available trigger sources.
To start sampling when this happens:
Select this trigger source:
When the w key is pressed [EXE] key
After the specified number of seconds are counted down Count Down
When input at CH1 reaches a specified value CH1
When input at CH2 reaches a specified value CH2
When input at CH3 reaches a specified value CH3
When input at the SONIC channel reaches a specified value
(EA-200 only) SONIC
When the built-in microphone detects sound (EA-200 only) Mic
When the [START/STOP] key is pressed (EA-200 only) [START] key
When [Button] is pressed (CLAB only) [START] key
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Configuring the Sampling Setup
• To configure Trigger Setup settings
1. While the Sampling Config screen is on the display, press 6(Trigger).
This displays the Trigger Setup screen with the
“Source” line highlighted.
The function menu items that appears in the menu
bar depend on the sampling mode. The nearby
screen shows the function menu when “Time-based
Sampling” is selected as the sample sampling mode.
2. Use the function keys to select the trigger source you want.
The following shows the trigger sources that can be selected for each sampling mode.
Sampling Mode Trigger Source
Time-based
Sampling
1(EXE) : [EXE] key, 2(Cont) : Count Down, 3(CH1~3),
4(Sonic), 5(START) : [START] key
Fast Sampling 1(EXE) : [EXE] key, 2(Cont) : Count Down, 3(CH1)
Mic & Speaker
Mode 1(EXE) : [EXE] key, 2(Cont) : Count Down, 5(Mic)
When the sampling mode is “Time-based Sampling” and the “Interval” setting is five
minutes or greater, the trigger source is always the [EXE] key.
When the sampling mode is “Period Sampling”, the trigger source is always CH1.
However, when the SONIC channel is being used on the EA-200, the trigger source is
always SONIC.
3. Perform one of the following operations, in accordance with the trigger source that was
selected in step 2.
If this is the
trigger source: Do this next:
[EXE] key Press w to finalize Trigger Setup and return to the Sampling
Config screen.
Count Down Specify the countdown start time. See “To specify the countdown
start time” below.
CH1
CH2
CH3
Specify the trigger threshold value and trigger edge direction. See
“To specify the trigger threshold value and trigger edge type” on
page ε-17, “To configure trigger threshold, trigger start edge, and
trigger end edge settings” or “To configure Photogate trigger start
and end settings” on page ε-18.
SONIC
Specify the trigger threshold value and motion sensor level. See
“To specify the trigger threshold value and motion sensor level” on
page ε-19.
Mic Specify microphone sensitivity. See “To specify microphone
sensitivity” on page ε-17.
[START] key Press w to finalize Trigger Setup and return to the Sampling
Config screen.
ε-17
Configuring the Sampling Setup
• To specify the countdown start time
1. Move the highlighting to “Timer”.
2. Press 1(Time) to display a dialog box for specifying the countdown start time.
3. Input a value in seconds from 1 to 10.
4. Press w to finalize Trigger Setup and return to the Sampling Config screen.
• To specify microphone sensitivity
1. Move the highlighting to “Sense” and then press one of the function keys described
below.
To select this level of microphone sensitivity: Press this key:
Low 1(Low)
Medium 2(Middle)
High 3(High)
2. Press w to finalize Trigger Setup and return to the Sampling Config screen.
• To specify the trigger threshold value and trigger edge type
Perform the following steps when “Time-based Sampling” or ”Fast Sampling” is specified as
the sampling mode.
1. Move the highlighting to “Threshold”.
2. Press 1(EDIT) to display a dialog box for specifying the trigger threshold value, which is
value that data needs to attain before sampling starts.
Sensor assigned to CH1, CH2, CH3 or the SONIC
channel
Measurement unit supported by assigned sensor
3. Input the value you want, and then press w.
4. Move the highlighting to “Edge”.
5. Press one of the function keys described below.
To select this type of edge: Press this key:
Falling 1(Fall)
Rising 2(Rise)
6. Press w to finalize Trigger Setup and return to the Sampling Config screen.
ε-18
Configuring the Sampling Setup
• To configure trigger threshold, trigger start edge, and trigger end edge
settings
Perform the following steps when “Period Sampling” is specified as the sampling mode.
1. Move the highlighting to “Threshold”.
2. Press 1(EDIT) to display a dialog box for specifying the trigger threshold value, which is
value that data needs to attain before sampling starts.
3. Input the value you want.
4. Move the highlighting to “Start to”.
5. Press one of the function keys described below.
To select this type of edge: Press this key:
Falling 1(Fall)
Rising 2(Rise)
6. Move the highlighting to “End Edge”.
7. Press one of the function keys described below.
To select this type of edge: Press this key:
Falling 1(Fall)
Rising 2(Rise)
8. Press w to finalize Trigger Setup and return to the Sampling Config screen.
• To configure Photogate trigger start and end settings
Perform the following steps when CH1 is selected as a Photogate trigger source.
Perform the operation below even while Vernier Photogate is assigned to the SONIC
channel when performing Period Sampling with the EA-200.
1. Move the highlighting to “Start to”.
2. Press one of the function keys described below.
To specify this Photogate status: Press this key:
Photogate closed 1(Close)
Photogate open 2(Open)
3. Move the highlighting to “End Gate”.
4. Press one of the function keys described below.
To specify this Photogate status: Press this key:
Photogate closed 1(Close)
Photogate open 2(Open)
5. Press w to finalize Trigger Setup and return to the Sampling Config screen.
ε-19
Configuring the Sampling Setup
• To specify the trigger threshold value and motion sensor level
1. Move the highlighting to “Threshold”.
2. Press 1(EDIT) to display a dialog box for specifying the trigger threshold value, which is
value that data needs to attain before sampling starts.
3. Input the value you want, and then press w.
4. Move the highlighting to “Level”.
5. Press one of the function keys described below.
To select this type of level: Press this key:
Below 1(Below)
Above 2(Above)
6. Press w to finalize Trigger Setup and return to the Sampling Config screen.
Configuring Manual Sampling Settings
1. On the Manual Sampling screen, press 2(CONFIG).
The Sampling Config screen is shown below.
2. Press e.
3. Input up to 8 characters for the unit name and then press w.
4. Press c to move the highlighting to “Time Limit”.
5. Press one of the function keys below.
1(On) ... Auto sampling stop enabled.
2(Off) ... Auto sampling stop disabled.
6. After all of settings are the way you want, press J.
This returns to the Manual Sampling screen.
k
ε-20
Performing Auto Sensor Calibration and Zero Adjustment
6. Performing Auto Sensor Calibration and Zero
Adjustment
You can use the procedures in this section to perform auto sensor calibration and sensor
zero adjustment.
With auto calibration, you can configure applicable interpolation formula slope (Slope) and
y-intercept (Intercept) values for a sensor based on two measured values.
With zero adjustment, you can configure a custom probe y-intercept based on measured
values.
A sensor calibrated with auto calibration or zero adjustment is registered as a custom probe.
Sensor Calibration Screen
1. On the sampling screen, use f and c to move the highlighting to the sensor you want
to auto calibrate or zero adjust.
2. Press 3(CALIB).
This displays a sensor calibration screen like the one shown below.
1(EDIT) ... Select to manually modify the highlighted item.
2(CALIB) … Performs auto sensor calibration.
3(ZERO) … Performs sensor zero adjustment.
6(SET) … Select to assign the calibrated sensor to a channel. This registers the
sensor as a custom probe.
Press J to return to the sampling screen.
Performing Auto Sensor Calibration
Important!
Before performing the operation below, you will need to have two known measured values
on hand.
When inputting reference values in step 3 of the procedure below, input values that were
measured accurately under conditions used for the sampling operations in step 2 of the
procedure. When inputting reference values in step 5 of the procedure below, input values
that were measured accurately under conditions used for the sampling operations in step 4
of the procedure.
k
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ε-21
Performing Auto Sensor Calibration and Zero Adjustment
1. On the sensor calibration screen, press 2(CALIB).
A screen like the one shown below will appear after the first sampling operation starts.
First sampling operation
Real-time display of sampled values
2. After the sampled value stabilizes, hold down w for a few seconds.
This registers the first sampled valued and displays it on the screen. At this time, the
cursor will appear at the bottom of the display, indicating that a reference value can be
input.
3. Input a reference value for the first sample value and then press w.
A screen like the one shown below will appear after the second sampling operation starts
automatically.
Second sampling operation
4. After the sampled value stabilizes, hold down w for a few seconds.
This registers second sampled valued and displays it on the screen. At this time, the
cursor will appear at the bottom of the display, indicating that a reference value can be
input.
5. Input a reference value for the second sample value and then press w.
This returns to the sensor calibration screen.
E-CON4 calculates slope and y-intercept values based on the two input reference values
and automatically configures settings. Automatically calculated values are displayed on
the sensor calibration screen.
Performing Sensor Zero Adjustment
1. On the sensor calibration screen, press 3(ZERO).
A screen like the one shown below will appear after sampling starts.
k
ε-22
Performing Auto Sensor Calibration and Zero Adjustment
2. When the sampled value that you want to zero adjust is displayed, press w.
This returns to the sensor calibration screen.
E-CON4 automatically sets a y-intercept value based on the measured value.
Automatically calculated values are displayed on the sensor calibration screen.
Configuring Settings Manually
1. On the sensor calibration screen, use f and c to move the highlighting to the item
whose setting you want to change.
2. Press 1(EDIT).
3. Input the information below for each of the items.
Probe Name ... Sensor name up to 18 characters long. (17 characters long when the
sensor name includes “±”.)
Slope ... Interpolation formula slope (value that specifies constant a of ax+b)
Intercept ... Interpolation formula y-intercept (value that specifies constant b of ax+b)
4. After you finish inputting, press w.
Assigning a Calibrated Sensor to a Channel
1. Perform auto sensor calibration and sensor zero adjustment. (Or configure settings
manually.)
2. On the sensor calibration screen, press 6(SET).
This displays a dialog box like the one shown below.
Number is assigned automatically.
3. Press J.
This assigns the calibrated sensor to the channel and returns to the sampling screen.
The calibrated sensor is stored under the custom probe number shown on the dialog box
above.
k
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ε-23
Using a Custom Probe
7. Using a Custom Probe
The sensors shown in the CASIO, Vernier, and CMA sensor lists under “4. Selecting a
Sensor” are E-CON4 mode standard sensors. If you want to sample with a sensor not
included in a list, you must configure it as a custom probe.
Registering a Custom Probe
1. On the sensor selection screen, press 4(CUSTOM).
This displays the custom probe list screen.
If there is no registered custom probe, the message “No Custom Probe” appears on the
display.
2. Press 1(NEW).
This displays a custom probe setup screen like the one shown below.
3. Press 1(EDIT).
4. Input up to 18 characters for the custom probe name and then press w.
This will cause the highlighting to move to “Slope”.
5. Move the highlighting to the setting you want to configure and then press 1(EDIT).
Setting items are described below.
Slope ... Input the interpolation formula slope (value that specifies constant a of ax+b)
Intercept ... Input the interpolation formula y-intercept (value that specifies constant b of
ax+b)
Unit Name ... Input up to eight characters for the unit name.
Warm-up ... Specify the warm-up time.
Type ... Select the sensor type (“0-5V” or “±10V”). Press 4(0-5V) or 5(±10V).
6. Perform auto calibration and zero adjustment of the custom probe as required.
Press 2(CALIB) to perform auto calibration of the custom probe. See “Performing Auto
Sensor Calibration” (page ε-20).
Press 3(ZERO) to perform zero adjustment of the custom probe. See “Performing
Sensor Zero Adjustment” (page ε-21).
k
ε-24
Using a Custom Probe
7. After configuring the required settings, press 6(SAVE) or w.
This displays the dialog box shown below.
8. Input the custom probe registration number (1 to 99) and then press w.
This registers the custom probe and returns to the custom probe list screen.
Assigning a Custom Probe to a Channel
1. On the sampling screen, use f and c to select the channel to which you want to
assign the custom probe.
2. Press 1(SENSOR) to display the sensor selection screen.
3. Press 4(CUSTOM).
This displays the custom probe list screen.
4. Use f and c to select the custom probe you want to assign and then press w.
Changing the Settings of a Custom Probe
1. On the custom probe list screen, use f and c to select the custom probe whose
settings you want to change.
2. Press 2(EDIT).
This displays a custom probe setup screen.
3. Perform steps 3 through 6 under “Registering a Custom Probe”.
4. After configuring the required settings, press 6(SAVE) or w.
This returns to the custom probe list screen.
Recalling CMA or Vernier Sensor Settings to Register a Custom Probe
1. On the custom probe list screen, press 4(CMA) or 5(VERNIER).
This displays a sensor list.
2. Use the f and c cursor keys to move the highlighting to the sensor whose settings you
want to use as the basis of the custom probe and then press w.
The name of the selected sensor and its setting information are shown on the custom
probe setup screen.
3. Perform steps 3 through 8 under “Registering a Custom Probe”. However, you will not be
able to change the sensor type.
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ε-25
Using Setup Memory
8. Using Setup Memory
Data logger setup data (Data Logger settings, sampling mode, assigned sensor, sampling
setup) is stored at the time it is created in a memory area called the “current setup memory
area”. The current contents of the current setup memory area are overwritten whenever you
create other setup data.
You can use setup memory to save the current setup memory area contents to calculator
memory to keep it from being overwritten, if you want.
k Saving a Setup
1. Display the sampling screen you want to save.
2. Press 4(OTHER)2(MEMORY).
This displays the setup memory list.
The message “No Setup-MEM” will appear if there is no setup data stored in memory.
3. Press 2(SAVE).
This displays a setup name input screen.
4. Input up to 18 characters for the setup name and then press w.
This displays a memory number input dialog box.
5. Input a memory number (1 to 99) and then press w.
This returns to the setup memory list.
6. Press J.
This returns to the sampling screen.
Important!
Since you assign both a setup name and a file number to each setup, you can assign the
same name to multiple setups, if you want.
k Using and Managing Setups in Setup Memory
All of the setups you save are shown in the setup memory list. After selecting a setup in the
list, you can use it to sample data or you can edit it.
• To preview saved setup data
You can use the following procedure to check the contents of a setup before you use it for
sampling.
1. On the sampling screen, press 4(OTHER)2(MEMORY) to display the setup memory
list.
2. Use the f and c cursor keys to highlight the name of the setup you want.
ε-26
Using Setup Memory
3. Press K(Setup Preview) (or e).
This displays the preview dialog box.
4. To close the preview dialog box, press J.
• To recall a setup and use it for sampling
Be sure to perform the following steps before starting sampling with a Data Logger.
1. Connect the calculator to a Data Logger.
2. Turn on Data Logger power.
3. In accordance with the setup you plan to use, connect the proper sensor to the
appropriate Data Logger channel.
4. Prepare the item whose data is to be sampled.
5. On the sampling screen, press 4(OTHER)2(MEMORY) to display the setup memory
list.
6. Use the f and c cursor keys to highlight the name of the setup you want.
7. Press 1(START).
8. In response to the confirmation message that appears, press 1.
• Pressing w sets up the Data Logger and then starts sampling.
To clear the confirmation message without sampling, press 6.
Note
See “Operations during a sampling operation” on page ε-29 for information about
operations you can perform while a sampling operation is in progress.
• To change the name of setup data
1. On the sampling screen, press 4(OTHER)2(MEMORY) to display the setup memory
list.
2. Use the f and c cursor keys to highlight the name of the setup you want.
3. Press 3(RENAME).
This displays the screen for inputting the setup name.
4. Input up to 18 characters for the setup name, and then press w.
This changes the setup name and returns to the setup memory list.
• To delete setup data
1. On the sampling screen, press 4(OTHER)2(MEMORY) to display the setup memory
list.
2. Use the f and c cursor keys to highlight the name of the setup you want.
3. Press 4(DELETE).
ε-27
Using Setup Memory
4. In response to the confirmation message that appears, press 1(Yes) to delete the
setup.
To clear the confirmation message without deleting anything, press 6(No).
• To recall setup data
Recalling setup data stores it in the current setup memory area. After recalling setup data,
you can edit it as required. This capability comes in handy when you need to perform a setup
that is slightly different from one you have stored in memory.
1. On the sampling screen, press 4(OTHER)2(MEMORY) to display the setup memory
list.
2. Use the f and c cursor keys to highlight the name of the setup you want.
3. Press 5(LOAD).
4. In response to the confirmation message that appears, press 1(Yes) to recall the setup.
To clear the confirmation message without recalling the setup, press 6(No).
Note
Recalling setup data replaces any other data currently in the current setup memory area.
However, if there is setup data for a sampling mode that is different from the current mode,
that data will not be overwritten.
ε-28
Starting a Sampling Operation
9. Starting a Sampling Operation
This section describes how to use a setup configured using the E-CON4 mode to start a
Data Logger sampling operation.
k Before getting started...
Be sure to perform the following steps before starting sampling with a Data Logger.
1. Connect the calculator to a Data Logger.
2. Turn on Data Logger power.
3. In accordance with the setup you plan to use, connect the proper sensor to the
appropriate Data Logger channel.
4. Prepare the item whose data is to be sampled.
k Starting a Sampling Operation
A sampling operation can be started from the sampling screen or the setup memory list.
Here we will show the operation that starts from the sampling screen. See “To recall a setup
and use it for sampling” on page ε-26 for information about starting sampling from the setup
memory list.
You need to perform a special operation in the case of Manual Sampling. For more
information, refer to “Manual Sampling” (page ε-31).
• To start sampling
1. Enter the sampling mode you want to use and then press 6(START).
This displays a sampling start confirmation screen like the one shown below.
2. Press w.
This sets up the Data Logger using the setup data in the current setup memory area.
The message “Setting Data Logger...” remains on the display while Data Logger setup
is in progress. You can cancel the setup operation any time this message is displayed
by pressing A.
The screen shown nearby appears after Data Logger
setup is complete.
ε-29
Starting a Sampling Operation
3. Press w to start sampling.
The screens that appear while sampling is in progress and after sampling is complete
depend on setup details (sampling mode, trigger setup, etc.). For details, see
“Operations during a sampling operation” below.
• Operations during a sampling operation
Sending a sample start command from the calculator to a Data Logger causes the following
sequence to be performed.
Setup Data Transfer Sampling Start Sampling End
Transfer of Sample Data from the Data Logger to the Calculator
The table on the next page shows how the trigger conditions and sensor type specified in the
setup data affects the above sequence.
ε-30
Starting a Sampling Operation
• The screen shown below appears when CH1~3,
SONIC, or Mic is used as the trigger.
• Time-based Sampling: Interval of 5min or greater
Pressing 1 advances to
“4. Graphing”.
Pressing w there returns to
“3. Sampling”.
Sampled values are saved as
Current Sample Data.
Graph screen does not show all sampled values,
but only a partial preview.
Mic & Speaker Mode: Speaker - Sample Data
The following three graph
types can be produced when
Photogate -Pulley is being
used.
1.
Time and distance graph
2.
Time and velocity graph
3.
Time and acceleration graph
Sample values are stored as
List data only.
S
tarts Samplin
g
Starts Sampling
w1
w
When Number of Samples = 1
When Number of Samples > 1
Input values.
w
Mode
Time-based
Sampling
Fast Sampling
Mic & Speaker
Mode
Period Sampling
1. Data Logger Setup
2. Start Standby 3. Sampling 4. Graphing
w
• The screen shown below appears when CH1~3,
SONIC, or Mic is used as the trigger.
• Time-based Sampling: Interval of 5min or greater
Pressing 1 advances to
“4. Graphing”.
Pressing w there returns to
“3. Sampling”.
Sampled values are saved as
Current Sample Data.
Graph screen does not show all sampled values,
but only a partial preview.
Mic & Speaker Mode: Speaker - Sample Data
The following three graph
types can be produced when
Photogate -Pulley is being
used.
1.
Time and distance graph
2.
Time and velocity graph
3.
Time and acceleration graph
Sample values are stored as
List data only.
S
tarts Samplin
g
Starts Sampling
w1
w
When Number of Samples = 1
When Number of Samples > 1
Input values.
w
Mode
Time-based
Sampling
Fast Sampling
Mic & Speaker
Mode
Period Sampling
1. Data Logger Setup
2. Start Standby 3. Sampling 4. Graphing
w
ε-31
Starting a Sampling Operation
Manual Sampling
1. On the Manual Sampling screen, press 6(START).
This displays a sampling start confirmation screen.
2. Press w.
This displays the screen shown below.
3. Press w to start sampling.
This will display a screen like the one shown below.
4. When you want to acquire data, press w.
This displays a dialog box for inputting the horizontal axis for the sample values.
5. Input a horizontal axis value and then press w.
This displays a graph of the sample data. Input values will be displayed on the horizontal axis.
6. Repeat steps 4 and 5 as many times as necessary to sample all of the data you want.
k
ε-32
Starting a Sampling Operation
You can sample data up to 100 times.
7. To exit the sampling operation, press J.
This displays an exit confirmation dialog box.
8. Press 1(Yes).
This displays a screen like the one shown below.
Specify the list where you want to store the data.
Input ... Specify the list where you want to store the horizontal axis data.
CH1, CH2, CH3 ... Specify lists where you want to store the sample data of each
channel.
9. After specifying the lists, press w.
This will cause the message “Complete!” to appear. To return to the Manual Sampling
screen, press w.
In the Statistics mode, sample data will be displayed as shown below.
Note
You can use trace while sampled data is shown on the graph. For details, see “Using
Trace” (page ε-40).
If “On” is selected for the sampling “Time Limit” setting, sampling will stop automatically if
you do not perform any operation for 90 minutes. In this case, the sample data is not stored
in a list.
ε-33
Using Sample Data Memory
10. Using Sample Data Memory
Performing a Data Logger sampling operation from the E-CON4 mode causes sampled
results to be stored in the “current data area” of E-CON4 memory. Separate data is saved
for each channel, and the data for a particular channel in the current data area is called that
channel’s “current data”.
Any time you perform a sampling operation, the current data of the channel(s) you use is
replaced by the newly sampled data. If you want to save a set of current data and keep it
from being replaced by a new sampling operation, save the data in sample data memory
under a different file name.
k Managing Sample Data Files
• To save current sample data to a file
1. On the sampling screen, press 4(OTHER)1(GRAPH).
This displays the Graph Mode screen.
Graph Mode Screen
For details about the Graph Mode screen, see “Using the Graph Analysis Tools to
Graph Data” (page ε-35).
2. Press 2(DATA).
This displays the Sampling Data List screen.
List of current data files
“cd” stands for “current data”. The text on
the right side of the colon indicates the
channel name.
Sampling Data List Screen
3. Use the f and c cursor keys to move the highlighting to the current data file you want
to save, and then press 2(SAVE).
This displays the screen for inputting a data name.
ε-34
Using Sample Data Memory
4. Enter up to 18 characters for the data file name, and then press w.
This displays a dialog box for inputting a memory number.
5. Enter a memory number in the range of 1 to 99, and then press w.
This saves the sample data at the location specified by the memory number you input.
The sample data file you save is
indicated on the display using the format:
<memory number>:<file name>.
If you specify a memory number that is already being used to store a data file, a
confirmation message appears asking if you want to replace the existing file with the
new data file. Press 1 to replace the existing data file, or 6 to return to the memory
number input dialog box in step 4.
6. To return to the sampling screen, press J twice.
Note
You could select another data file besides a current data file in step 3 of the above
procedure and save it under a different memory number. You do not need to change the
file’s name as long as you use a different file number.
Pressing e while the Sampling Data List screen is shown will display information
(sampling mode, sensor, number of samples) about the currently highlighted data. To exit
the screen, press J.
ε-35
Using the Graph Analysis Tools to Graph Data
11. Using the Graph Analysis Tools to Graph
Data
Graph Analysis tools make it possible to analyze graphs drawn from sampled data.
Note
Sampled data cannot be graphed in the cases described below.
Attempting to graph manually sampled data and data sampled using a different sampling
mode simultaneously
Manually sampled data whose horizontal axis values (number of samples) do not match
k Accessing Graph Analysis Tools
You can access Graph Analysis tools using either of the two methods described below.
Accessing Graph Analysis tools from the Graph Mode screen, which is displayed by
pressing 4(OTHER)1(GRAPH) on the sampling screen
Graph Mode Screen
The sampling screen appears after you perform a sampling operation. Press
4(OTHER)1(GRAPH) at that time.
When you access Graph Analysis tools using this method, you can select from among a
variety of other Analysis modes. See “Selecting an Analysis Mode and Drawing a Graph”
(page ε-36) for more information about the other Analysis modes.
Accessing Graph Analysis tools from the screen of a graph drawn after a sampling
operation is executed from the sampling screen (Time-based Sampling, Fast
Sampling, Mic & Speaker Mode - Microphone)
Graph Screen
In this case, data is graphed after the sampling operation is complete, and the calculator
accesses Graph Analysis tools automatically. See “Graph Screen Key Operations” on
page ε-39.
ε-36
Using the Graph Analysis Tools to Graph Data
k Selecting an Analysis Mode and Drawing a Graph
This section contains a detailed procedure that covers all steps from selecting an analysis
mode to drawing a graph.
Note
Step 4 through step 7 are not essential and may be skipped, if you want. Skipping any step
automatically applies the initial default values for its settings.
If you skip step 2, the default analysis mode is the one whose name is displayed in the top
line of the Graph Mode screen.
• To select an analysis mode and draw a graph
1. On the sampling screen, press 4(OTHER)1(GRAPH).
This displays the Graph Mode screen.
2. Press 3(MODE), and then select the analysis mode you want from the menu that
appears.
To do this: Perform this menu
operation:
To select this
mode:
Graph three sets of sampled data
simultaneously [Norm] Graph Analysis
Graph sampled data along with its first
and second derivative graph [diff] d/dt & d2/dt2
Display the graphs of different sampled
data in upper and lower windows for
comparison
[COMPARE] [GRAPH] Compare Graph
Output sampled data from the speaker,
displaying graph of the raw data in
the upper window and the output
waveform in the lower window (EA-200
only)
[COMPARE] [Sound] Compare Sound
Display the graph of sampled data
in the upper window and its first
derivative graph in the lower window
[COMPARE] [d/dt] Compare d/dt
Display the graph of sampled data
in the upper window and its second
derivative graph in the lower window
[COMPARE] [d2/dt2]Compare d2/dt2
The name of the currently selected mode appears in the top line of the Graph Mode
screen.
Analysis mode name
ε-37
Using the Graph Analysis Tools to Graph Data
3. Press 2(DATA).
This displays the Sampling Data List screen.
4. Specify the sampled data for graphing.
a. Use the f and c cursor keys to move the highlighting to the name of the sampled
data file you want to select, and then press 1(ASSIGN) or w.
This returns to the Graph Mode screen, which shows the name of the sample data file
you selected.
Graph on/off indicator Sample data file name
Name of sensor used for sampling
Graph Mode Screen
b. Repeat step a above to specify sample data files for other graphs, if there are any.
If you select “Graph Analysis” as the analysis mode in step 2, you must specify
sample data files for three graphs. If you select “Compare Graph” as the analysis
mode in step 2, you must specify sample data files for two graphs. With other modes,
you need to specify only one sample data file.
For details about Sampling Data List screen operations, see “Using Sample Data
Memory” (page ε-33).
5. Turn on graphing for each of the graphs listed on the Graph Mode screen.
a. On the Graph Mode screen, use the f and c cursor keys to select a graph, and
then press 1(SELECT) to toggle graphing on or off.
Graphing turned off.
Graphing turned on.
b. Repeat step a to turn each of the graphs listed on the Graph Mode screen on or off.
6. Select the graph style you want to use.
a. On the Graph Mode screen, use the f and c cursor keys to move the highlighting
to the graph (Gph1, Gph2, etc.) whose style you want to specify, and then press
4(STYLE). This will cause the function menu to change as shown below.
ε-38
Using the Graph Analysis Tools to Graph Data
b. Use the function keys to specify the graph style you want.
To specify this graph style: Press this key:
Line graph with dot ( • ) data markers 1()
Line graph with square ( ) data markers 2()
Line graph with X (×) data markers 3()
Scatter graph with 3×3-dot data markers 4()
Scatter graph with 5×5-dot data markers 5()
Scatter graph with X (×) data markers 6( )
c. Repeat a and b to specify the style for each of the graphs on the Graph Mode screen.
7. On the Graph Mode screen, press 6(DRAW) or w.
This draws the graph(s) in accordance with the settings you configured in step 2
through step 6.
Graph Screen
When a Graph screen is on the display, the function keys provide you with zooming and
other capabilities to aid in graph analysis.
For details about Graph screen function key operations, see the following section.
• To deselect sampled data assigned for graphing on the Graph Mode screen
1. On the Graph Mode screen, use the f and c cursor keys to move the highlighting to
the graph (Gph1, Gph2, etc.) whose sampled data you want to deselect.
2. Press 5(DELETE).
This will deselect sample data assigned to the highlighted graph.
ε-39
Graph Analysis Tool Graph Screen Operations
12.
Graph Analysis Tool Graph Screen Operations
This section explains the various operations you can perform on the graph screen after
drawing a graph.
You can perform these operations on a graph screen produced by a sampling operation,
or by the operation described under “Selecting an Analysis Mode and Drawing a Graph” on
page ε-36.
k Graph Screen Key Operations
On the graph screen, you can use the keys described in the table below to analyze (CALC)
graphs by reading data points along the graph (Trace) and enlarging specific parts of the
graph (Zoom).
Key Operation Description
!1(TRACE)
Displays a trace pointer on the graph along with the coordinates of
the current cursor location. Trace can also be used to obtain the
periodic frequency of a specific range on the graph and assign it
to a variable. See “Using Trace” on page ε-40.
!2(ZOOM)
Starts a zoom operation, which you can use to enlarge or reduce
the size of the graph along the x-axis or the y-axis. See “Using
Zoom” on page ε-41.
!3(V-WIN)
Displays a function menu of special View Window commands for
the E-CON4 mode graph screen.
For details about each command, see “Configuring View Window
Parameters” on page ε-49.
!4(SKETCH)
Displays a menu that contains the following commands: Cls, Plot,
F-Line, Text, PEN, Vertical, and Horizontal. For details about
each command, see “Drawing Dots, Lines, and Text on the Graph
Screen (Sketch)” on page 5-52.
K1(PICTURE)
Saves the currently displayed graph as a graphic image. You can
recall a saved graph image and overlay it on another graph to
compare them. For details about these procedures, see “Saving
and Recalling Graph Screen Contents” on page 5-20.
K2(MEMORY)
1(LISTMEM)
Displays a menu of functions for saving the sample values in a
specific range of a graph to a list. See “Transforming Sampled
Data to List Data” on page ε-42.
K2(MEMORY)
2(CSV)
Saves the sample data in the specific range of a graph to a CSV
file. For details, see “Saving Sample Data to a CSV File” (page
ε-43).
K3(EDIT)
Displays a menu of functions for zooming and editing a particular
graph when the graph screen contains multiple graphs. See
“Working with Multiple Graphs” on page ε-46.
K4(CALC)
Displays a menu that lets you transform a sample result graph to a
function using Fourier series expansion, and to perform regression
to determine the tendency of a graph. See “Using Fourier Series
Expansion to Transform a Waveform to a Function” on page ε-44,
and “Performing Regression” on page ε-45.
ε-40
Graph Analysis Tool Graph Screen Operations
Key Operation Description
K5(Y=fx)
Displays the graph relation list, which lets you select a Y=f(x)
graph to overlay on the sampled result graph. See “Overlaying a
Y=f(x) Graph on a Sampled Result Graph” on page ε-46.
K6(SPEAKER)
Starts an operation for outputting a specific range of a sound data
waveform graph from the speaker (EA-200 only). See “Outputting
a Specific Range of a Graph from the Speaker” on page ε-48.
k Scrolling the Graph Screen
Press the cursor keys while the graph screen is on the display scrolls the graph left, right, up,
or down.
Note
The cursor keys perform different operations besides scrolling while a trace or graph
operation is in progress. To perform a graph screen scroll operation in this case, press J
to cancel the trace or graph operation, and then press the cursor keys.
k Using Trace
Trace displays a crosshair pointer on the displayed graph along with the coordinates of the
current cursor position. You can use the cursor keys to move the pointer along the graph.
You can also use trace to obtain the periodic frequency value for a particular range, and
assign the range (time) and periodic frequency values in separate Alpha memory variables.
• To use trace
1. On the graph screen, press !1(TRACE).
This causes a trace pointer to appear on the graph.
The coordinates of the current trace pointer location
are also shown on the display.
2. Use the d and e cursor keys to move the trace pointer along the graph to the location
you want.
The coordinate values change in accordance with the trace pointer movement.
You can exit the trace pointer at any time by pressing J.
• To obtain the periodic frequency value
1. Use the procedure under “To use trace” above to start a trace operation.
2. Move the trace pointer to the start point of the range whose periodic frequency you want
to obtain, and then press w.
ε-41
Graph Analysis Tool Graph Screen Operations
3. Move the trace pointer to the end point of the range whose periodic frequency you want
to obtain.
This causes the period and periodic frequency value
at the start point you selected in step 2 to appear
along the bottom of the screen.
4. Press w to assign the period and periodic frequency values to Alpha memory variables.
This displays a dialog box for specifying variable
names for [Period] and [Frequency] values.
The initial default variable name settings are “S” for
the period and “H” for the periodic frequency. To
change to another variable name, use the up and
down cursor keys to move the highlighting to the item
you want to change, and then press the applicable
letter key.
5. After everything is the way you want, press w.
This stores the values and exits the trace operation.
For details about using Alpha memory, see Chapter 2 of this manual.
k Using Zoom
Zoom lets you enlarge or reduce the size of the graph along the x-axis or the y-axis.
Note
When there are multiple graphs on the screen, the procedure below zooms all of them.
For information about zooming a particular graph when there are multiple graphs on the
screen, see “Working with Multiple Graphs” on page ε-46.
• To zoom the graph screen
1. On the graph screen, press !2(ZOOM).
This causes a magnifying glass cursor ( ) to appear
in the center of the screen.
2. Use the cursor keys to move the magnifying glass cursor to the location on the screen
that you want at the center of the enlarged or reduced screen.
ε-42
Graph Analysis Tool Graph Screen Operations
3. Press w.
This causes the magnifying glass to disappear and enters the zoom mode.
The cursor keys perform the following operations in the zoom mode.
To do this: Press this cursor key:
Enlarge the graph image horizontally e
Reduce the size of the graph image horizontally d
Enlarge the graph image vertically f
Reduce the size of the graph image vertically c
4. To exit the zoom mode, press J.
k Transforming Sampled Data to List Data
Use the following procedure to transform the sampled data in a specific range of a graph into
list data.
• To transform sampled data to list data
1. On the graph screen, press K2(MEMORY), and then 1(LISTMEM).
This displays the LISTMEM menu.
2. Press 2(SELECT).
This displays the trace pointer for selecting the range on the graph.
3. Move the trace pointer to the start point of the range
you want to convert to list data, and then press w.
4. Move the trace pointer to the end point of the range you want to convert to list data, and
then press w.
This displays a dialog box for specifying the lists where you want to store the time data
and the sampled data.
The initial default lists are List 1 for the time and List 2 for sample data. To change to
another list (List 1 to List 26), use the up and down cursor keys to move the highlighting
to the list you want to change, and then input the applicable list number.
ε-43
Graph Analysis Tool Graph Screen Operations
5. After everything is the way you want, press w.
This saves the lists and the message “Complete!” appears. Press w to return to the
graph screen.
For details about using list data, see Chapter 3 of this manual.
Note
• Pressing 1(All) in place of 2(SELECT) in step 2 converts the entire graph to list data. In
this case, the “Store Sample Data” dialog box appears as soon as you press 1(All).
In the case of Manual Sampling, the dialog box in step 4 of the procedure will appear as
shown below.
Saving Sample Data to a CSV File
Use the procedure below to save the sample data in the specific range of a graph to a CSV file.
• To save sample data to a CSV file
1. On the graph screen, press K2(MEMORY)2(CSV).
This displays the CSV menu at the bottom of the display.
2. Press 1(SAVEAS)2(SELECT).
This will display a trace point for specifying a range on the graph.
3. Move the trace point to the start point of the range you want to save to a CSV file, and
then press w.
4. Move the trace point to the end point of the range you want to save to a CSV file, and then
press w.
This displays the folder selection screen.
5. Select the folder where you want to save the CSV file.
6. Press 1(SAVEAS).
7. Input up to 8 characters for the file name and then press w.
Note
To select all of the graph data and save it as CSV data, press 1(All) in place of
2(SELECT) in step 2 above. The folder selection screen will appear as soon as you
press 1(All).
If there are multiple graphs on the graph screen, use f and c to select the graph you
want and then press w. (Not included on the Manual Sampling)
k
ε-44
Graph Analysis Tool Graph Screen Operations
• To specify the CSV file delimiter symbol and decimal point
Press K2(MEMORY)2(CSV)2(SET) to display the CSV format setting screen. Next,
perform the procedure from step 3 under “Specifying the CSV File Delimiter Symbol and
Decimal Point” (page 3-20).
k Using Fourier Series Expansion to Transform a Waveform to a Function
Fourier series expansion is effective for studying sounds by expressing them as functions.
The procedure below assumes that there is a graph of sampled sound data already on the
graph screen.
• To perform Fourier series expansion
1. On the graph screen, press K, and then 4(CALC).
The CALC menu appears at the bottom of the
display.
2. Press 1(FOURIE).
This displays the trace pointer for selecting the graph range.
3. Move the trace pointer to the start point of the range for
which you want to perform Fourier series expansion,
and then press w.
4. Move the trace pointer to the end point of the range for which you want to perform Fourier
series expansion, and then press w.
This displays a dialog box for specifying the start degree of the Fourier series.
5. Input a value in the range of 1 to 99, and then press w.
This displays a dialog box for inputting the degree of
the Fourier series.
ε-45
Graph Analysis Tool Graph Screen Operations
6. Input a value in the range of 1 to 10, and then press w.
The graph relation list appears with the calculation
result.
7. Pressing 6(DRAW) here graphs the function.
This lets you compare the expanded function graph
and the original graph to see if they are the same.
Note
When you press 6(DRAW) in step 7, the graph of the result of the Fourier series
expansion may not align correctly with the original graph on which it is overlaid. If this
happens, shift the position the original graph to align it with the overlaid graph.
For information about how to move the original graph, see “To move a particular graph on
a multi-graph display” (page ε-48).
k Performing Regression
You can use the procedure below to perform regression for a range specified using the trace
pointer. All of the following regression types are supported: Linear, Med-Med, Quadratic,
Cubic, Quartic, Logarithmic, Exponential, Power, Sine, and Logistic.
For details about these regression types, see Chapter 6 of this manual.
The following procedure shows how to perform quadratic regression. The same general
steps can also be used to perform the other types of regression.
• To perform quadratic regression
1. On the graph screen, press K, and then 4(CALC).
The CALC menu appears at the bottom of the display.
2. Press 5(X2).
This displays the trace pointer for selecting the range
on the graph.
3. Move the trace pointer to the start point of the range for which you want to perform
quadratic regression, and then press w.
ε-46
Graph Analysis Tool Graph Screen Operations
4. Move the trace pointer to the end point of the range for which you want to perform
quadratic regression, and then press w.
This displays the quadratic regression calculation
result screen.
5. Press 6(DRAW).
This draws a quadratic regression graph and
overlays it over the original graph.
To delete the overlaid quadratic regression graph,
press !4(SKETCH) and then 1(Cls).
k Overlaying a Y=f(x) Graph on a Sampled Result Graph
You can use the E-CON4 mode to graph equations based on the form Y=f(x). From the
graph screen, press K5(Y=fx) to display the graph relation list screen. From there,
operations are identical to those in the Graph mode.
Note
The data on the graph relation list screen is shared with the Graph mode. Note, however,
that only Y= type graphs can be used in the E-CON4 mode. Because of this, calling up
the graph relation list screen from the E-CON4 mode will display a “Y” (Y= type) item for
function menu key 3. Also, 5(MODIFY) is not displayed, because it is not used in the
E-CON4 mode.
k Working with Multiple Graphs (Not included on the Manual Sampling)
The procedures in this section explain how you can zoom or move a particular graph when
there are multiple graphs on the display.
• To zoom a particular graph on a multi-graph display
1. When the graph screen contains multiple graphs, press K, and then 3(EDIT).
The EDIT menu appears at the bottom of the display.
ε-47
Graph Analysis Tool Graph Screen Operations
2. Press 1(ZOOM).
This displays only one of the graphs that were
originally on the graph screen.
3. Use the f and c cursor keys to cycle through the graphs until the one you want is
displayed, and then press w.
This enters the zoom mode and causes all of the
graphs to reappear, along with a magnifying glass
cursor ( ) in the center of the screen.
4. Use the cursor keys to move the magnifying glass cursor to the location on the screen
that you want at the center of the enlarged or reduced screen.
5. Press w.
This causes the magnifying glass to disappear and enters the zoom mode.
The cursor keys perform the following operations in the zoom mode.
To do this: Press this cursor key:
Enlarge the graph image horizontally e
Reduce the size of the graph image horizontally d
Enlarge the graph image vertically f
Reduce the size of the graph image vertically c
6. To exit the zoom mode, press J.
ε-48
Graph Analysis Tool Graph Screen Operations
• To move a particular graph on a multi-graph display
1. When the graph screen contains multiple graphs, press K, and then 3(EDIT).
This displays the EDIT menu.
2. Press 2(MOVE).
This displays only one of the graphs that were originally on the graph screen.
3. Use the f and c cursor keys to cycle through the graphs until the one you want is
displayed, and then press w.
This enters the move mode and causes all of the graphs to reappear.
4. Use the d and e cursor keys to move the graph left and right, or the f and c
cursor keys to move the graph up and down.
5. To exit the move mode, press J.
k Outputting a Specific Range of a Graph from the Speaker
(EA-200 only)
Use the following procedure to output a specific range of a sound data waveform graph from
the speaker.
• To output a graph from the speaker
1. On the graph screen, press K, and then 6(SPEAKER).
This displays the trace pointer for selecting the range
on the graph.
2. Move the trace pointer to the start point of the range you want to output from the speaker,
and then press w.
ε-49
Graph Analysis Tool Graph Screen Operations
3. Move the trace pointer to the end point of the range you want to output from the speaker,
and then press w.
After you specify the start point and end point, an output frequency dialog box shown
below appears on the display.
4. Input a percent value for the output frequency value you want.
The output frequency specification is a percent value. To output the original sound as-is,
specify 100%. To raise the original sound by one octave, input a value of 200%. To
lower the original sound by one octave, input a value of 50%.
5. After inputting an output frequency value, press w.
This outputs the waveform between the start point and end point from the EA-200
speaker.
If the sound you configured cannot be output for some reason, the message “Range
Error” will appear. If this happens, press J to scroll back through the previous setting
screens and change the setup as required.
6. To terminate sound output, press the EA-200 [START/STOP] key.
7. Press w.
This displays a screen like the one shown nearby.
8. If you want to retry output from the speaker, press 1(Yes). To exit the procedure and
return to the graph screen, press 6(No).
• Pressing 1(Yes) returns to the “Output Frequency” dialog box. From there, repeat the
above steps from step 4.
k Configuring View Window Parameters
Pressing !3(V-Window) while the graph screen is on the display displays a View
Window function key menu along the bottom of the display.
ε-50
Graph Analysis Tool Graph Screen Operations
Press the function key that corresponds to the View Window parameter you want to
configure.
Function Key Description
1(Auto)*
Automatically applies the following View Window parameters.
Y-axis Elements: In accordance with screen size
X-axis Elements: In accordance with screen size when 1 data item
equals 1 dot; 1 data equals 1 dot in other cases
2(FULL) Resizes the graph so all of it fits in the screen.
3(Y) Resizes the graph so all of it fits in the screen along the Y-axis,
without changing the X-axis dimensions.
4(UNIT)*
Specifies the unit of the numeric axis grid displayed by the E-CON
Axes setting of the Setup Screen.
1(μsec): microseconds
2(msec): milliseconds
3(Sec): seconds
4(DHMS): days, hours, minutes, seconds (1 day, 2 hours, 30
minutes, 5 seconds = 1d2h30m5s)
5(Auto): Auto selection
5(CHANGE) Toggles display of the source data on the graph screen on and off.
* Not included on the Manual Sampling
To exit the View Window function key menu and return to the standard function key menu,
press J.
ε-51
Calling E-CON4 Functions from an eActivity
13. Calling E-CON4 Functions from an eActivity
You can call E-CON4 functions from an eActivity by including an “E-CON strip” in the
eActivity file. The following describes each of the two available E-CON strips.
E-CON Top strip
This strip calls the Time-based Sampling screen. This strip provides access to almost
all executable functions, including detailed Data Logger setup and sampling execution;
graphing and Graph Analysis Tools, etc.
Note
Using an E-CON Top strip to configure a setup causes the setup information to be
registered in the applicable strip. This means that the next time you open the strip,
sampling can be performed in accordance with the previously configured setup
information.
E-CON Result strip
This strip graphs sampled data that is recorded in the strip. The sampled data is
recorded to the strip the first time the strip is executed.
• E-CON Strip Memory Capacity Precautions
The memory capacity of each E-CON strip is 22.5 KB. An error will occur if you perform
an operation that causes this capacity to be exceeded. Particular care is required
when handling a large number of samples, which can cause memory capacity to be
exceeded.
Always make sure that FFT Graph is turned off whenever performing sampling with the
microphone. Leaving FFT Graph turned on cause memory capacity to be exceeded.
If an error occurs, press !a(') to return to the eActivity workspace screen and
perform the procedure again.
For information about checking the memory usage of each strip, see “To display the
strip memory usage screen” on page 10-21.
For details about eActivity operations, see Chapter 10 of this manual.
Manufacturer:
CASIO COMPUTER CO., LTD.
6-2, Hon-machi 1-chome
Shibuya-ku, Tokyo 151-8543, Japan
Responsible within the European Union:
Casio Europe GmbH
Casio-Platz 1
22848 Norderstedt, Germany
www.casio-europe.com
CASIO COMPUTER CO., LTD.
6-2, Hon-machi 1-chome
Shibuya-ku, Tokyo 151-8543, Japan
SA1803-B
© 2017 CASIO COMPUTER CO., LTD.

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