Werbung
Verfügbare Sprachen
Verfügbare Sprachen
J Fraction−to−decimal conversion
Example 1.:
1 <> 0.5 (Fraction <> Decimal)
−
2
1 2.
1
2
0.5
1 2.
Percentage calculations
D
Use the COMP mode for percentage cal-
culations.
Example 1.: To calculate 12 % of 1500
180.
1500
12
Example 2.: To calculate what percentage of
880 is 660
75.
660
880
Example 3.: To add 15 % onto 2500
2875.
2500
15
2500
Example 4.: To discount 3500 by 25 %
2625.
3500
3500
25
Example 5.: If 300 grams are added to a test
sample originally weighing 500 grams, what is
the percentage increase in weight?
300+500
x100=160(%)
500
160.
300
500
500
Example 6.: If temperature changes from 40°C
to 46°C, what percentage did it rise?
46−40
x100=15(%)
40
15.
46
40
40
Scientific function calculations
Use the COMP mode for scientific function
D
calculations.
=3.1415926536
D
Trigonometric / Inverse trigonometric func-
tions
Example 1.: sin63°52'41"
0.897859012
>
63
52
41
Example 2.:
cos
RAD
3
0.5
>
3
2
−1
Example 3.:
RAD
cos
=
2
4
0.785398163
>
2
2
0.25
−1
Example 4.: tan
0.741
36.53844577
>
0.741
6
J Hyperbolic / Inverse hyperbolic
functions
Example 1.: sinh 3.6
18.28545536
3.6
−1
Example 2.: sinh
30
4.094622224
30
J Angle unit conversion
D
Press
to display the following
menu.
Pressing
,
or
converts the dis-
D
played value to the corresponding angle
unit.
Example 1.: To convert 4.25 radians to de-
grees
>
4.25r
243.5070629
4.25
Common and Natural logarithms /
Antilogarithms
Example 1.: log 1.23
0.089905111
1.23
Example 2.: ln 90(=log
90)
e
90
4.49980967
10
Example 3.: e
22026.46579
10
1.5
Example 4.: 10
31.6227766
1.5
4
Example 5.: 2
16.
2
4
J Square roots, Cube roots, Roots,
Squares, Cubes, Reciprocals, Factorials,
Random Numbers and
Example 1.:
2
+
3
x
5
2
3
5.287196909
5
Example 2.:
3
3
5 +
−27
−1.290024053
5
27
1
Example 3.:
7
−
123
(=123
)
7
1.988647795
7
123
2
Example 4.: 123 + 30
1023.
123
30
3
Example 5.: 12
1728.
12
Example 6.:
1
1
1
−
3
4
3
4
12.
Example 7.: 8!
40320.
8
Example 8.: To generate a random number
between 0.000 and 0.999. (Results differ each
time).
0.664
Example 9.: 3
9.424777961
3
7
J FIX, SCI, RND
Example 1.: 200:7x14=400
400.
200
7
14
(Specifies three decimal places.)
400.000
Fix
(Calculation continues using
10 display digits)
28.571
200
7
400.000
14
Performing the same calculation using the speci-
fied number of decimal places
28.571
200
7
(Internal rounding)
28.571
399.994
14
Press
to clear FIX specifi-
D
cation.
Example 2.: 1:3, displaying result with two si-
gnificant digits (SCI2).
Press
D
−01
3.3
1
3
Scl
D
Press
to clear SCI specifi-
cation.
J ENG calculations
Example 1.: To convert 56088 meters to kilo-
meters
03
56.088
56088
Example 2.: To convert 0.08125 grams to milli-
grams
81.25
−03
0.08125
J Coordinate conversion (Pol (x, y),
Rec (r, ))
Calculation results are automatically assi-
D
gned to variables E and F.
Example 1.: To convert polar coordinates (r=2,
=60°) to retangular coordinates (x, y) (DEG
mode)
1.
x
2
60
1.732050808
y
,
swaps displayed value
D
with value in memory.
Example 2.: To convert retangular coordinates
3
(1,
) to polar coordinates (r, ) (RAD mode)
2.
r
1
3
1.047197551
D
,
swaps displayed value
with value in memory.
J Permutation
Example 1.: To determine how many different
4−digit values can be produced using the num-
bers 1 through 7
Numbers cannot be duplicated within the
D
same 4−digit value (1234 is allowed, but
1123 is not).
840.
7
4
8
J Combination
Example 1.: To determine how many different
4−member groups can be organized in a group
of 10 individuals.
210.
10
4
Statistical Calculations
J Standard deviation (SD mode)
Press
to enter the SD Mode for sta-
D
tistical calculations using standard devia-
tion.
D
Data input always starts with
to
clear statistical memory.
D
Input data is used to cal-
2
x
x
2
culate values for n, x, x
,
x
n
,
ón
and
which you
ón−1
can recall using the key
operations noted nearby.
x
ón
ón −1
Example 1.: To calculate
, , n, x and
ón−1, ón
2
x
for the following data: 55, 54, 51, 55, 53, 53,
54, 52
Enter SD Mode
(Memory
Clear).
52.
55
54
51
55
........
SD.
53
54
52
(Sample Standard Deviation
−1)
ón
1.407885953
(Population Standard Deviation
)
ón
1.316956719
(Arithmetic Mean )
53.375
(Number of data n)
8.
(Sum of Values x)
427.
2
(Sum of Squares of Values x
)
22805.
Data input precautions
inputs the same data twice.
D
You can also input multiple entries of the
D
same data using
. To input the data
110 ten times, for example, press 110
10
.
The above results can be obtained in any
D
order and not necessarily that shown
above.
To delete data you have just input, press
D
.
J Regression Calculations (REG mode)
D
Press
to enter the REG mode and
then select one of the following regression
types.
: Linear regression
: Logarithmic regression
: Exponential regression
: Power regression
: Inverse regression
D
Data input always starts with
to
clear statistical memory.
D
The values produced by a regression calcu-
lation depend on the values input and re-
sults can be recalled using the key opera-
tions shown in the table below.
9
x
x
2
x
n
y
2
y
x
y
x
3
x
2
y
x
4
x
ón
D
Linear regression
The regression formula for linear regression is:
y=A+Bx.
Example 1.: Athmospheric Pressure vs. Tem-
perature
Tempera-
Athmosp-
Perform linear regres-
ture
heric
sion to determine the re-
Pressure
gression formula terms
10°C
1003 hPa
and correlation coeffi-
15°C
1005 hPa
cient for the data nearby.
20°C
1010 hPa
Next, use the regression
25°C
1011 hPa
formula to estimate at-
30°C
1014 hPa
mospheric pressure at
18°C and temperature at
1000 hPa.
Enter REG Mode (Linear Regression)
(Memory Clear)
10
1003
15
1005
30.
20
1010
25
1011
REG..............
30
1014
(Regression Coefficient A)
997.4
(Regression Coefficient B)
0.56
(Correlation Coefficient r)
0.982607368
(Atmospheric Pressure at 18°C)
18
1007.48
(Temperature at 1000 hPa)
1000
4.642857143
Quadratic Regression
The regression formula for quadratic
D
regression is:
2
y = A+Bx+Cx
Input data using the following key se-
D
quence.
<x−data>
<y−data>
D
Example:
Perform quadratic
xi
yi
regression to deter-
29
1.6
mine the regres-
50
23.5
sion formula terms
74
38.0
and
correlation
103
46.4
coefficient for the
118
48.0
data nearby. Next,
use the regression
formula to estimate
the values for
(estimated value of
y) for xi = 16 and
(estimated value of
x) for yi = 20.
10
Werbung
