Sharp EL510RB Operation Manual - Page 2

Statistical Calculations, Error And Calculation Ranges, Battery Replacement, Specifications - calculator

Page 2 highlights

Fraction Calculations • A decimal number, variable, or exponent cannot be entered as a fraction. • In all cases, a total of up to 10 digits including integer, numerator, denominator and the symbol (l) can be entered. • If the number of digits to be displayed is greater than 10, the number is converted to and displayed as a decimal number. 3-1 2 + 4- 3 = [abc-] →[a.xxx] →[d/c] N3\ 1\2 + 4 \ 3 = 4 l5 l6 * \ 4.833333333 @| 29 l6 2 10 3 = 1.25 + →[a-bc ] 25- = [a.xxx] * 4 l5 l6= 4-56 @¡ 2 \ 3 = 4.641588834 1.25 + 2 \ 5 = 1.65 \ 1 l13 l20 Time, Decimal and Sexagesimal Calculations Conversion between decimal and sexagesimal numbers can be performed. In addition, the four basic arithmetic operations and memory calculations can be carried out using the sexagesimal system. 12°39'18"05 → [10] 123.678 → [60] 3h30m45s + 6h45m36s = [60] 3h45m - 1.69h = [60] sin62°12'24" = [10] N 12 o 39 o 18.05 o @_ 12.65501389 123.678 @_ 123°40'40.80 3 o 30 o 45 o+ 6 o 45 o 36 o= 10°16'21.00 3 o 45 o- 1.69 = @_ 2°03'36.00 s 62 o 12 o 24 o = 0.884635235 - 11 - Coordinate Conversions • Before performing a calculation, select the angular unit. (See page 6) Y P (x,y) y ↔ 0 x X Rectangular coord. Y P (r,θ ) r θ 0 X Polar coord. • The calculation result is automatically stored in memories X and Y. Value of r or x: X memory Value of θ or y: Y memory    x y = = 6 4 r θ = = [°]    r = 14  θ = → 36[°]   x y = = N 6 @, 4 @{[r r ] 14 @, 36 @}[x] @≠[y] @≠[x] 7.211102551 33.69006753 7.211102551 11.32623792 8.228993532 11.32623792 STATISTICAL CALCULATIONS Press @ m 1 to select statistics mode. The following statistics can be obtained: x Mean of samples (x data) sx Sample standard deviation (x data) σx Population standard deviation (x data) n Number of samples Σx Sum of samples (x data) Σx2 Sum of squares of samples (x data) - 12 - Entered data are kept in memory until @ c or @ m 1 are pressed. Before entering new data, clear the memory contents. [Data Entry] Data k Data § frequency k (To enter multiples of the same data) [Data Correction] Correction prior to pressing k: Delete incorrect data with N. Correction after pressing k: Press > to confirm the latest entry and press @ J to delete it. Score 95 80 80 75 75 75 50 x= σx= Σx= Σx2= sx= sx2= @m1 95 k 80 k k 75 § 3 k 50 k R~ Rp Rz Rw R£ @L= 0. 1. 2. 3. 6. 7. 75.71428571 12.37179148 530. 41200. 13.3630621 178.5714286 Statistical Calculation Formulas x = Σx n sx = Σx2 - nx2 n - 1 σx = Σx2 - nx2 n Σx = x1 + x2 + ··· + xn Σx2 = x12 + x22 + ··· + xn2 (n: Number of samples) - 13 - In the statistical calculation formulas, an error will occur when: • the absolute value of the intermediate result or calcula- tion result is equal to or greater than 1 × 10100. • the denominator is zero. • an attempt is made to take the square root of a negative number. ERROR AND CALCULATION RANGES 1. Errors An error will occur if an operation exceeds the calculation ranges, or if a mathematically illegal operation is attempted. When an error occurs, pressing < (or >) automatically moves the cursor back to the place in the equation where the error occurred. Edit the equation (see page 4) or press N to clear the equation. 2. Error Codes and Error Types Syntax error (Error 1): • An attempt was made to perform an invalid operation. Ex. 2 @{ Calculation error (Error 2): • The absolute value of an intermediate or final calculation result equals or exceeds 10100. • An attempt was made to divide by 0. • The calculation ranges were exceeded while performing calculations. Depth error (Error 3): • The available number of buffers was exceeded. (There are 8 buffers* for numeric values and 16 buffers for calculation instructions). *4 buffers in STAT mode. Equation too long (Error 4): • The equation exceeded its maximum input buffer (159 char- acters). An equation must be shorter than 159 characters. - 14 - 3. Calculation Ranges • Within the ranges specified below, this calculator is accurate to ±1 in the least significant digit of the mantissa. When performing continuous calculations (including chain calculations), errors accumulate leading to reduced accuracy. • Calculation ranges ±10-99 ~ ±9.999999999×1099 and 0. If the absolute value of an entry or a final or intermediate result of a calculation is less than 10-99, the value is considered to be 0 in calculations and in the display. Function sin x, cos x, tan x sin-1x, cos-1x tan-1x, 3¿x In x, log x yx x¿y ex 10x DEG: RAD: GRAD: | x| ≤ 1 Dynamic range | x | < 1010 (tan x : | x | ≠ 90 (2n-1))* | | x x | < 1-8π-0- × (tan x : | | < -190- × 1010 x| ≠ 1010 - π2 (2n-1))* (tan x : | x | ≠ 100 (2n-1))* | x | < 10100 10-99 ≤ x < 10100 • y > 0: -10100 < x log y < 100 • y = 0: 0 < x < 10100 • y < 0: x = n (0 < | x | < 1: 1-x = 2n-1, x ≠ 0)*, -10100 < x log | y | < 100 • y > 0: • y = 0: -10100 < -1x log y < 100 (x ≠ 0) 0 < x < 10100 • y < 0: x = 2n-1 (0 < | x | < 1 : -1x = n, x ≠ 0)*, -10100 < -1x log | y | < 100 -10100 < x ≤ 230.2585092 -10100 < x < 100 - 15 - Function sinh x, cosh x, tanh x Dynamic range | x | ≤ 230.2585092 sinh-1 x | x | < 1050 cosh-1 x 1 ≤ x < 1050 tanh-1 x | x | < 1 x2 | x | < 1050 ¿x 0 ≤ x < 10100 x-1 | x | < 10100 (x ≠ 0) n! 0 ≤ n ≤ 69* 0 ≤ r ≤ n ≤ 9999999999* nPr (-nn--r!)!< 10100 0 ≤ r ≤ n ≤ 9999999999* nCr 0 ≤ r ≤ 69 -n-! < 10100 (n-r)! ↔DEG, D°M'S 0°00'00.01 ≤ | x | < 10000° x, y → r, θ √ x2 + y2 < 10100 r, θ → x, y DRG | 0 ≤ r < 10100 DEG: RAD: GRAD : | θ | < 1010 | θ | < -1π8-0 × 1010 | θ | < -19-0 × 1010 DEG→RAD, GRAD→DEG: | x | < 10100 RAD→GRAD: | x | < -π2 × 1098 * (n, r: integer) - 16 - BATTERY REPLACEMENT Notes on Battery Replacement Improper handling of batteries can cause electrolyte leakage or explosion. Be sure to observe the following handling rules: • Replace both batteries at the same time. • Do not mix new and old batteries. • Make sure the new batteries are the correct type (LR44). • When installing, orient each battery properly as indi- cated in the calculator. • Batteries are factory-installed before shipment, and may be exhausted before they reach the service life stated in the specifications. When to Replace the Batteries If the display has poor contrast, the batteries require replacement. Caution • Keep batteries out of the reach of children. • Exhausted batteries left in the calculator may leak and damage the calculator. • Explosion risk may be caused by incorrect handling. • Batteries must be replaced only with others of the same type. • Do not throw batteries into a fire as they may explode. Replacement Procedure 1. Turn the power off by pressing @ F. 2. Loosen both screws and remove the battery cover. (Fig. 1) Fig. 1 Fig. 2 3. Remove the used batteries then replace with two fresh batteries with the positive sides (+) facing up. (Fig. 2) - 17 - 4. Replace the battery cover and screws. 5. Press the RESET switch (on the back). • Make sure that the display appears as shown below. If the display does not appear as shown, reinstall the batteries and check the display once again. Automatic Power Off Function This calculator will turn itself off to save battery power if no key is pressed for approximately 10 minutes. SPECIFICATIONS Calculations: Internal calculations: Pending operations: Power source: Power consumption: Operating time: Operating temperature: External dimensions: Weight: Accessories: Scientific calculations, statistical calculations, etc. Mantissas of up to 12 digits 16 calculations 8 numeric values (4 numeric values in STAT mode) 3V ... (DC): Alkaline batteries (LR44) × 2 0.0006 W Approx. 2500 hours when continuously displaying 55555. at 25°C. Varies according to use and other factors. 0°C - 40°C 71.5 mm (W) × 124 mm (D) × 9.5 mm (H) 2-13/16" (W) × 4-7/8" (D) × 3/8" (H) Approx. 57 g 0.126 lb (Including batteries) Batteries × 2 (installed), operation manual, and hard case - 18 - - 19 - This equipment complies with the requirements of Directive 89/336/EEC as amended by 93/68/EEC. Dieses Gerät entspricht den Anforderungen der EG-Richtlinie 89/336/EWG mit Änderung 93/68/EWG. Ce matériel répond aux exigences contenues dans la directive 89/336/CEE modifiée par la directive 93/68/CEE. Dit apparaat voldoet aan de eisen van de richtlijn 89/336/ EEG, gewijzigd door 93/68/EEG. Dette udstyr overholder kravene i direktiv nr. 89/336/EEC med tillæg nr. 93/68/EEC. Quest' apparecchio è conforme ai requisiti della direttiva 89/ 336/EEC come emendata dalla direttiva 93/68/EEC. 89/336/ , 93/68/ . Este equipamento obedece às exigências da directiva 89/336/ CEE na sua versão corrigida pela directiva 93/68/CEE. Este aparato satisface las exigencias de la Directiva 89/336/ CEE modificada por medio de la 93/68/CEE. Denna utrustning uppfyller kraven enligt riktlinjen 89/336/ EEC så som kompletteras av 93/68/EEC. Dette produktet oppfyller betingelsene i direktivet 89/336/ EEC i endringen 93/68/EEC. Tämä laite täyttää direktiivin 89/336/EEC vaatimukset, jota on muutettu direktiivillä 93/68/EEC. - 20 -

  • 1
  • 2

1
2
b
c
4
3
3– + – = [a–]
N
3
\
1
\
2
+
4
\
3
=
4 5
6
*
[a.xxx]
\
4.833333333
[d/c]
@|
29
6
2
\
3
=
4.641588834
1.25
+
2
\
5
=
1.65
\
1
13 20
[a–]
b
c
1.25 + – = [a.xxx]
2
5
Rectangular coord.
Polar coord.
The calculation result is automatically stored in memo-
ries X and Y.
Value of
r
or
x
: X memory
Value of
θ
or
y
: Y memory
STATISTICAL CALCULATIONS
Press
@
m
1
to select statistics mode.
The following statistics can be obtained:
x
Mean of samples (
x
data)
sx
Sample standard deviation (
x
data)
σ
x
Population standard deviation (
x
data)
n
Number of samples
Σ
x
Sum of samples (
x
data)
Σ
x
2
Sum of squares of samples (
x
data)
Σ
x
=
x
1
+
x
2
+ ··· +
x
n
Σ
x
2
=
x
1
2
+
x
2
2
+ ··· +
x
n
2
ERROR AND CALCULATION RANGES
1. Errors
An error will occur if an operation exceeds the calculation
ranges, or if a mathematically illegal operation is attempted.
When an error occurs, pressing
<
(or
>
) automati-
cally moves the cursor back to the place in the equation
where the error occurred. Edit the equation (see page 4)
or press
N
to clear the equation.
In the statistical calculation formulas, an error will occur when:
the absolute value of the intermediate result or calcula-
tion result is equal to or greater than 1
×
10
100
.
the denominator is zero.
an attempt is made to take the square root of a negative
number.
Syntax error (Error 1):
An attempt was made to perform an invalid operation.
Ex. 2
@{
Calculation error (Error 2):
The absolute value of an intermediate or final calculation
result equals or exceeds 10
100
.
An attempt was made to divide by 0.
The calculation ranges were exceeded while performing
calculations.
Depth error (Error 3):
The available number of buffers was exceeded. (There are 8
buffers* for numeric values and 16 buffers for calculation
instructions). *4 buffers in STAT mode.
Equation too long (Error 4):
The equation exceeded its maximum input buffer (159 char-
acters). An equation must be shorter than 159 characters.
3.
Calculation Ranges
Within the ranges specified below, this calculator is
accurate to ±1 in the least significant digit of the
mantissa. When performing continuous calculations (in-
cluding chain calculations), errors accumulate leading
to reduced accuracy.
Calculation ranges
±10
-99
~ ±9.999999999
×
10
99
and 0.
If the absolute value of an entry or a final or intermediate
result of a calculation is less than 10
–99
, the value is con-
sidered to be 0 in calculations and in the display.
1
x
1
x
1
x
1
x
n!
(n-r)!
n!
(n-r)!
π
180
10
9
π
2
BATTERY REPLACEMENT
Notes on Battery Replacement
Improper handling of batteries can cause electrolyte leak-
age or explosion. Be sure to observe the following han-
dling rules:
Replace both batteries at the same time.
Do not mix new and old batteries.
Make sure the new batteries are the correct type (LR44).
When installing, orient each battery properly as indi-
cated in the calculator.
Batteries are factory-installed before shipment, and may
be exhausted before they reach the service life stated in
the specifications.
When to Replace the Batteries
If the display has poor contrast, the batteries require re-
placement.
Caution
Keep batteries out of the reach of children.
Exhausted batteries left in the calculator may leak and
damage the calculator.
Explosion risk may be caused by incorrect handling.
Batteries must be replaced only with others of the same
type.
Do not throw batteries into a fire as they may explode.
Replacement Procedure
1.
Turn the power off by pressing
@
F
.
2.
Loosen both screws and remove the battery cover. (Fig. 1)
Fig. 1
Fig. 2
3. Remove the used batteries then replace with two fresh
batteries with the positive sides (+) facing up. (Fig. 2)
SPECIFICATIONS
Calculations:
Scientific calculations, statistical
calculations, etc.
Internal calculations:
Mantissas of up to 12 digits
Pending operations:
16 calculations 8 numeric values
(4 numeric values in STAT mode)
Power source:
3V
...
(DC):
Alkaline batteries (LR44)
×
2
Power consumption:
0.0006 W
Operating time:
Approx. 2500 hours
when continuously displaying
55555. at 25°C.
Varies according to use and other
factors.
Operating temperature:
0°C – 40°C
External dimensions:
71.5 mm (W)
×
124 mm (D)
×
9.5 mm (H)
2-13/16” (W)
×
4-7/8” (D)
×
3/8” (H)
Weight:
Approx.
57 g
0.126 lb
(Including batteries)
Accessories:
Batteries
×
2 (installed), opera-
tion manual, and hard case
This equipment complies with the requirements of Directive
89/336/EEC as amended by 93/68/EEC.
Dieses Gerät entspricht den Anforderungen der EG-Richtlinie
89/336/EWG mit Änderung 93/68/EWG.
Ce matériel répond aux exigences contenues dans la directive
89/336/CEE modifiée par la directive 93/68/CEE.
Dit apparaat voldoet aan de eisen van de richtlijn 89/336/
EEG, gewijzigd door 93/68/EEG.
Dette udstyr overholder kravene i direktiv nr. 89/336/EEC
med tillæg nr. 93/68/EEC.
Quest’ apparecchio è conforme ai requisiti della direttiva 89/
336/EEC come emendata dalla direttiva 93/68/EEC.
± ²³´Æµ¶·µÆ·¸ ƹµº Æ»µÆ¼½´¾¿»²µÆØ ·µØÀ ƼÆصº·²ØÀ
µÁ» ½Â¸³Øû µ¸À Ĺ¾Á¼ÆÅ´ºÀ Ä»Á·¸À 89/336/ÄÇÈ,
ɼÁÀ ½ ´Æ»½»Ø·ÊÉÀ ƹµÉÀ ·¹Ê¼Ë¸¾Ã̸´² Æ¼É µ¸»
½Â¸³¿Æ 93/68/ÄÇÈ.
Este equipamento obedece às exigências da directiva 89/336/
CEE na sua versão corrigida pela directiva 93/68/CEE.
Este aparato satisface las exigencias de la Directiva 89/336/
CEE modificada por medio de la 93/68/CEE.
Denna utrustning uppfyller kraven enligt riktlinjen 89/336/
EEC så som kompletteras av 93/68/EEC.
Dette produktet oppfyller betingelsene i direktivet 89/336/
EEC i endringen 93/68/EEC.
Tämä laite täyttää direktiivin 89/336/EEC vaatimukset, jota
on muutettu direktiivillä 93/68/EEC.
2.
Error Codes and Error Types
Function
Dynamic range
sinh
x
,
cosh
x
,
|
x
|
230.2585092
tanh
x
sinh
–1
x
|
x
| < 10
50
cosh
–1
x
1
x
< 10
50
tanh
–1
x
|
x
| < 1
x
2
|
x
| < 10
50
¿
x
0
x
< 10
100
x
–1
|
x
| < 10
100
(
x
0)
n!
0
n
69*
0
r
n
9999999999*
n
P
r
—– < 10
100
0
r
n
9999999999*
n
C
r
0
r
69
—– < 10
100
DEG, D°M’S
0°00’00.01
|
x
| < 10000°
x
,
y
r
,
θ
x
2
+ y
2
< 10
100
0
r
< 10
100
r
,
θ
x
,
y
DEG:
|
θ
| < 10
10
RAD:
|
θ
| <
—–
×
10
10
GRAD :
|
θ
| < ––
×
10
10
DEG
RAD,
DRG
|
GRAD
DEG: |
x
| < 10
100
RAD
GRAD: |
x
| < –
×
10
98
* (n, r: integer)
– 11 –
– 16 –
– 12 –
– 13 –
– 14 –
– 15 –
– 17 –
– 18 –
– 19 –
– 20 –
12°39’18”05
N
12
o
39
o
18.05
o
[10]
@_
12.65501389
123.678
[60]
123.678
@_
123°40’40.80
3h30m45s +
3
o
30
o
45
o+
6
o
6h45m36s = [60]
45
o
36
o=
10°16’21.00
3h45m –
3
o
45
o-
1.69
=
1.69h = [60]
@_
2°03’36.00
sin62°12’24” = [10]
s
62
o
12
o
24
o
=
0.884635235
[Data Entry]
Data
k
Data
§
frequency
k
(To enter multiples of the
same data)
[Data Correction]
Correction prior to pressing
k
:
Delete incorrect data with
N
.
Correction after pressing
k
:
Press
>
to confirm the latest entry and press
@
J
to delete it.
Fraction Calculations
A decimal number, variable, or exponent cannot be
entered as a fraction.
In all cases, a total of up to 10 digits including integer, nu-
merator, denominator and the symbol (
) can be entered.
If the number of digits to be displayed is greater than 10, the
number is converted to and displayed as a decimal number.
Coordinate Conversions
Before performing a calculation, select the angular unit.
(See page 6)
Time, Decimal and Sexagesimal Calculations
Conversion between decimal and sexagesimal numbers
can be performed. In addition, the four basic arithmetic
operations and memory calculations can be carried out
using the sexagesimal system.
@m1
0.
95
k
1.
80
k
2.
k
3.
75
§
3
k
6.
50
k
7.
R~
75.71428571
Rp
12.37179148
Rz
530.
Rw
41200.
13.3630621
@L=
178.5714286
Statistical Calculation Formulas
(n: Number of samples)
4.
Replace the battery cover and screws.
5.
Press the RESET switch (on the back).
Make sure that the display appears as shown below. If
the display does not appear as shown, reinstall the
batteries and check the display once again.
Automatic Power Off Function
This calculator will turn itself off to save battery power if no
key is pressed for approximately 10 minutes.
Entered data are kept in memory until
@
c
or
@
m
1
are pressed. Before entering new data,
clear the memory contents.
π
180
10
9
π
2
Function
Dynamic range
DEG:
|
x
| < 10
10
(tan
x
: |
x
|
90 (2n–1))*
sin
x
, cos
x
,
RAD:
|
x
| < –––
×
10
10
tan
x
(tan
x
: |
x
|
– (2n–1))*
GRAD:
|
x
| < —–
×
10
10
(tan
x
: |
x
|
100 (2n–1))*
sin
–1
x
,
cos
–1
x
|
x
|
1
tan
–1
x
,
3
¿
x
|
x
| < 10
100
In
x
,
log
x
10
–99
x
< 10
100
y
> 0:
–10
100
<
x
log
y
< 100
y
x
y
= 0:
0 <
x
< 10
100
y
< 0:
x
= n (0 < |
x
| < 1: – = 2n–1,
x
0)*,
–10
100
<
x
log |
y
| < 100
y
> 0:
–10
100
< – log
y
< 100 (
x
0)
x
¿
y
y
= 0:
0 <
x
< 10
100
y
< 0:
x
= 2n–1
(0 < |
x
| < 1 : – = n,
x
0)*,
–10
100
< – log |
y
| < 100
e
x
–10
100
<
x
230.2585092
10
x
–10
100
<
x
< 100
P (
x
,
y
)
X
Y
0
y
x
P (
r
,
θ
)
X
Y
0
r
θ
x =
Σ
x
n
*
4
5
6
=4–
5
6
10
=
2
3
Score
95
80
80
75
75
75
50
x
=
σ
x
=
Σ
x
=
Σ
x
2
=
sx
=
sx
2
=
sx
=
Σ
x
2
– nx
2
n –
1
σ
x
=
Σ
x
2
– nx
2
n
N
6
@,
4
@{
[
r
]
7.211102551
@≠
[
θ
]
33.69006753
@≠
[
r
]
7.211102551
14
@,
36
@}
[
x
]
11.32623792
@≠
[
y
]
8.228993532
@≠
[
x
]
11.32623792
r
= 14
x
=
θ
= 36[°]
y
=
x
= 6
r
=
y
= 4
θ
= [°]