# Sharp EL-506W, EL-546W Owner Manual

EL 506W EL 546W

EL 506W EL 546W

EL 506W EL 546W

EL-520W (TINSExxxxEHZZ)_ENGLISH_1

• 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

a calculation is less than 10

–99

, the value is considered to be 0 in

calculations and in the display.

BATTERY REPLACEMENT

Notes on Battery Replacement

Improper handling of batteries can cause electrolyte leakage or

explosion. Be sure to observe the following handling rules:

• Replace both batteries at the same time.

• Do not mix new and old batteries.

• Make sure the new batteries are the correct type.

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

explosion. Be sure to observe the following handling rules:

• Replace both batteries at the same time.

• Do not mix new and old batteries.

• Make sure the new batteries are the correct type.

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

calculator.

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

exhausted before they reach the service life stated in the speci-

fications.

fications.

Notes on erasure of memory contents

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

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

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

accidental erasure occurs.

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

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

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

accidental erasure occurs.

When to Replace the Batteries

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

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

the batteries.

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

the batteries.

Cautions

• Fluid from a leaking battery accidentally entering an eye could

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

water and immediately consult a doctor.

water and immediately consult a doctor.

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

skin or clothes, immediately wash with clean water.

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

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

safe place.

safe place.

• Do not leave exhausted batteries inside the product.

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

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

batteries of different types.

• Keep batteries out of the reach of children.

• Exhausted batteries left in the calculator may leak and damage

• Exhausted batteries left in the calculator may leak and damage

the calculator.

• Explosion risk may be caused by incorrect handling.

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

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

Replacement Procedure

1. Turn the power off by pressing @F.

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

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

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

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

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

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

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

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

6. Replace the cover and screws.

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

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

6. Replace the cover and screws.

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

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

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

stall them and check the display once again.

stall them and check the display once again.

(Fig. 1) (Fig. 2)

Automatic Power Off Function

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

pressed for approximately 10 minutes.

pressed for approximately 10 minutes.

SPECIFICATIONS

Calculations:

Scientific calculations, complex number

calculations, equation solvers, statistical

calculations, etc.

calculations, etc.

Internal calculations:

Mantissas of up to 14 digits

Pending operations:

24 calculations 10 numeric values in the

normal mode (5 numeric values in other

modes, and 1 numeric value for Matrix/

List data.)

normal mode (5 numeric values in other

modes, and 1 numeric value for Matrix/

List data.)

Power source:

Built-in solar cells

3 V ¶ (DC):

Backup batteries

(Alkaline batteries (LR44)

3 V ¶ (DC):

Backup batteries

(Alkaline batteries (LR44)

× 2)

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

External dimensions:

External dimensions:

79.6 mm (W)

× 154.5 mm (D) × 13.2 mm (H)

3-1/8” (W)

× 6-3/32” (D) × 17/32” (H)

Weight:

Approx. 97g (0.22 lb)

(Including batteries)

(Including batteries)

Accessories:

Batteries

× 2 (installed), operation manual,

quick reference card and hard case

FOR MORE INFORMATION ABOUT

SCIENTIFIC CALCULATOR

SCIENTIFIC CALCULATOR

Visit our Web site.

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

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

Calculations Using Engineering Prefixes

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

base) using the following 9 types of prefixes.

base) using the following 9 types of prefixes.

Modify Function

Calculation results are internally obtained in scientific notation

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

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

tion and the number of decimal places indicated, the internal

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

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

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

without change in subsequent operations.

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

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

tion and the number of decimal places indicated, the internal

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

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

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

without change in subsequent operations.

Solver Function

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

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

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

tion. Depending on the function (e.g. periodic) or start value, an

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

the solution for the equation.

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

the solution for the equation.

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

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

after changing ‘Start’ and dx values.

after changing ‘Start’ and dx values.

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

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

• no solution can be found (Error 2).

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

• no solution can be found (Error 2).

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

equation).

• to improve the arithmetic precision.

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

[Performing Solver function]

Q Press m0.

W Input a formula with an x variable.

E Press ∑0.

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

T Input dx value (minute interval).

Y Press ®.

Q Press m0.

W Input a formula with an x variable.

E Press ∑0.

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

T Input dx value (minute interval).

Y Press ®.

SIMULATION CALCULATION (ALGB)

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

such as plotting a curve line for 2x

such as plotting a curve line for 2x

2

+ 1, or finding the variable for

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

specify the value for the variable in the formula.

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

Unusable functions: Random function

• Simulation calculations can only be executed in the normal

specify the value for the variable in the formula.

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

Unusable functions: Random function

• Simulation calculations can only be executed in the normal

mode.

• Calculation ending instructions other than = cannot be used.

Performing Calculations

Q Press m0.

W Input a formula with at least one variable.

E Press @≤.

R Variable input screen will appear. Input the value of the flashing

W Input a formula with at least one variable.

E Press @≤.

R Variable input screen will appear. Input the value of the flashing

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

be displayed after entering the value for all used variables.

• Only numerical values are allowed as variables. Input of

be displayed after entering the value for all used variables.

• Only numerical values are allowed as variables. Input of

formulas is not permitted.

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

form calculations using the same formula.

• Variables and numerical values stored in the memories will

be displayed in the variable input screen. To change a

numerical value, input the new value and press ®.

numerical value, input the new value and press ®.

• Performing simulation calculation will cause memory loca-

tions to be overwritten with new values.

STATISTICAL CALCULATIONS

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

cal calculations listed below can be performed. After selecting the

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

number key corresponding to your choice.

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

m1), then select the required sub-mode.

0 (SD)

cal calculations listed below can be performed. After selecting the

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

number key corresponding to your choice.

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

m1), then select the required sub-mode.

0 (SD)

: Single-variable statistics

1 (LINE)

: Linear regression calculation

2 (QUAD) : Quadratic regression calculation

3 (EXP)

3 (EXP)

: Exponential regression calculation

4 (LOG)

: Logarithmic regression calculation

5 (PWR)

: Power regression calculation

6 (INV)

: Inverse regression calculation

The following statistics can be obtained for each statistical calcu-

lation (refer to the table below):

lation (refer to the table below):

Single-variable statistical calculation

Statistics of Q and value of the normal probability function

Linear regression calculation

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

x

x

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

ENGLISH

INTRODUCTION

Thank you for purchasing the SHARP Scientific Calculator Model

EL-506W/546W.

About the calculation examples (including some formulas and

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

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

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

future reference.

Note: Some of the models described in this manual may not be

EL-506W/546W.

About the calculation examples (including some formulas and

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

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

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

future reference.

Note: Some of the models described in this manual may not be

available in some countries.

Operational Notes

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

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

and is particularly fragile.

and is particularly fragile.

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

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

sively humid or dusty environments.

sively humid or dusty environments.

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

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

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

cause malfunction.

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

cause malfunction.

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

• Do not drop it or apply excessive force.

• Never dispose of batteries in a fire.

• Keep batteries out of the reach of children.

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

• Do not drop it or apply excessive force.

• Never dispose of batteries in a fire.

• Keep batteries out of the reach of children.

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

grading without prior notice.

NOTICE

• SHARP strongly recommends that separate permanent

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

lost or altered in virtually any electronic memory product

under certain circumstances. Therefore, SHARP assumes

no responsibility for data lost or otherwise rendered unusable

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

replacement, use after the specified battery life has expired,

or any other cause.

lost or altered in virtually any electronic memory product

under certain circumstances. Therefore, SHARP assumes

no responsibility for data lost or otherwise rendered unusable

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

replacement, use after the specified battery life has expired,

or any other cause.

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

consequential economic or property damage caused by

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

unless such liability is acknowledged by law.

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

unless such liability is acknowledged by law.

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

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

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

the RESET switch erases all data stored in memory.

• When using for the first time

• After replacing the batteries

• To clear all memory contents

• When an abnormal condition occurs and all keys are inoperative.

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

the RESET switch erases all data stored in memory.

• When using for the first time

• After replacing the batteries

• To clear all memory contents

• When an abnormal condition occurs and all keys are inoperative.

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

servicing dealer, SHARP approved service facility, or SHARP

repair service where available.

servicing dealer, SHARP approved service facility, or SHARP

repair service where available.

Hard Case

DISPLAY

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

• Certain inactive symbols may appear visible when viewed from

• Certain inactive symbols may appear visible when viewed from

a far off angle.

• Only the symbols required for the usage under instruction are

shown in the display and calculation examples of this manual.

/

: Appears when the entire equation cannot be displayed.

Press </> to see the remaining (hidden) section.

xy

/r

θ

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

plex calculation mode.

: Indicates that data can be visible above/below the

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

2ndF

: Appears when @ is pressed.

HYP

: Indicates that h has been pressed and the hyper-

bolic functions are enabled. If @H are pressed,

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

hyperbolic functions are enabled.

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

hyperbolic functions are enabled.

PRINTED IN CHINA / IMPRIMÉ EN CHINE / IMPRESO EN CHINA

04CGK (TINSE0719EHZZ)

EL-506W

EL-546W

EL-546W

SCIENTIFIC CALCULATOR

OPERATION MANUAL

MODEL

1 2 3 4 5 6 7 8 9 0 . ,

1 2 3 4 5 6 7 8 9 0 . ,

1 2 3 4 5 6 7 8 9 0 . ,

SHARP CORPORATION

ALPHA : Appears when K (STAT VAR), O or R is pressed.

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

DEG/RAD/GRAD: Indicates angular units.

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

DEG/RAD/GRAD: Indicates angular units.

: Appears when matrix mode is selected.

: Appears when list mode is selected.

: Appears when statistics mode is selected.

: Appears when list mode is selected.

: Appears when statistics mode is selected.

M

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

?

: Indicates that the calculator is waiting for a numerical

value to be entered, such as during simulation calculation.

: Appears when the calculator shows an angle as the result

in the complex calculation mode.

i

: Indicates an imaginary number is being displayed in the

complex calculation mode.

BEFORE USING THE CALCULATOR

Key Notation Used in this Manual

In this manual, key operations are described as follows:

To specify e

x

:

@e

To specify ln :

I

To specify F :

Kü

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

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

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

but as ordinary numbers.

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

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

but as ordinary numbers.

Power On and Off

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

Clearing the Entry and Memories

Operation

Entry

M

A-F, X,Y

STAT*

1

matA-D*

3

(Display) F1-F4

ANS

STAT VAR*

2

L1-4*

4

ª

×

×

×

×

@c

×

Mode selection

×

@∏00*

5

@∏10*

6

RESET switch

: Clear

×

: Retain

*

1

Statistical data (entered data).

*

2

x

¯

¯

, sx,

σx, n, Σx, Σx

2

, ¯y, sy,

σy, Σy, Σy

2

,

Σxy, r, a, b, c.

*

3

Matrix memories (matA, matB, matC and matD)

*

4

List memories (L1, L2, L3 and L4)

*

5

All variables are cleared.

*

6

This key combination functions the same as the RESET switch.

[Memory clear key]

Press @∏ to display the menu.

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

Press @∏ to display the menu.

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

F1-F4, STAT VAR, matA-D, L1-4), press 00 or 0

®.

®.

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

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

restore the calculator’s default setting.

restore the calculator’s default setting.

Entering and Correcting the Equation

[Cursor keys]

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

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

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

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

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

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

[Insert mode and Overwrite mode in the Equation display]

• Pressing @‘ switches between the two editing modes:

[Insert mode and Overwrite mode in the Equation display]

• Pressing @‘ switches between the two editing modes:

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

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

rectangular cursor indicates to overwrite preexisting data as you

make entries.

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

rectangular cursor indicates to overwrite preexisting data as you

make entries.

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

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

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

be overwritten by the number you enter.

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

be overwritten by the number you enter.

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

[Deletion key]

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

[Deletion key]

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

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

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

as a back space key.

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

as a back space key.

Multi-line Playback Function

Previous equations may be recalled in the normal mode. Equations

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

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

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

Pressing [ will display the previous equation. Further pressing

[ will display preceding equations (after returning to the previ-

ous equation, press ] to view equations in order). In addition,

@[ can be used to jump to the oldest equation.

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

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

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

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

Pressing [ will display the previous equation. Further pressing

[ will display preceding equations (after returning to the previ-

ous equation, press ] to view equations in order). In addition,

@[ can be used to jump to the oldest equation.

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

@c, mode change, RESET, N-base conversion and memory

clear (@∏).

clear (@∏).

Priority Levels in Calculation

Operations are performed according to the following priority:

Q Fractions (1

Q Fractions (1

l

4, etc.) W

∠, engineering prefixes E Functions

preceded by their argument (x

-1

, x

2

, n!, etc.) R Y

x

,

x

¿ T Implied

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

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

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

MEM RESET

0 1

(2sin30, etc.) I

n

C

r

,

n

P

r

O

×, ÷ P +, – { AND } OR, XOR, XNOR

q =, M+, M–,

⇒M, |DEG, |RAD, |GRAD, DATA, CD, →rθ, →xy

and other calculation ending instructions

• If parentheses are used, parenthesized calculations have prec-

• If parentheses are used, parenthesized calculations have prec-

edence over any other calculations.

INITIAL SET UP

Mode Selection

m0: Normal mode (NORMAL)

m1: Statistic mode (STAT)

m2: Equation mode (EQN)

m3: Complex number mode (CPLX)

m4: Matrix mode (MAT)

m5: List mode (LIST)

m1: Statistic mode (STAT)

m2: Equation mode (EQN)

m3: Complex number mode (CPLX)

m4: Matrix mode (MAT)

m5: List mode (LIST)

SET UP menu

Press ” to display the SET UP menu.

• A menu item can be selected by:

• A menu item can be selected by:

• moving the flashing cursor by using

><, then pressing ® (= key), or

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

• If

or

is displayed on the screen, press [ or ] to

view the previous/next menu screen.

• Press ª to exit the SET UP menu.

[Determination of the Angular Unit]

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

be specified.

• DEG (°)

[Determination of the Angular Unit]

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

be specified.

• DEG (°)

: Press ”00.

• RAD (rad) : Press ”01.

• GRAD (g) : Press ”02.

[Selecting the Display Notation and Decimal Places]

Four display notation systems are used to display calculation re-

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

Engineering notation.

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

• GRAD (g) : Press ”02.

[Selecting the Display Notation and Decimal Places]

Four display notation systems are used to display calculation re-

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

Engineering notation.

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

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

values will be reduced to the corresponding number of digits.

values will be reduced to the corresponding number of digits.

[Setting the Floating Point Numbers System in Scientific Notation]

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

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

in scientific notation outside a preset range:

• NORM1: 0.000000001

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

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

in scientific notation outside a preset range:

• NORM1: 0.000000001

≤ x ≤ 9999999999

• NORM2: 0.01

≤ x ≤ 9999999999

SCIENTIFIC CALCULATIONS

• Press m0 to select the normal mode.

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

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

or ENG indicator is displayed, clear the indicator by selecting

‘NORM1’ from the SET UP menu.

‘NORM1’ from the SET UP menu.

Arithmetic Operations

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

omitted.

Constant Calculations

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

traction and division are performed in the same manner. For

multiplication, the multiplicand becomes a constant.

multiplication, the multiplicand becomes a constant.

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

Functions

• Refer to the calculation examples of each function.

• Before starting calculations, specify the angular unit.

• Before starting calculations, specify the angular unit.

Differential/Integral Functions

Differential and integral calculations are only available in the nor-

mal mode. For calculation conditions such as the x

mal mode. For calculation conditions such as the x

value in differ-

ential calculation or the initial point in integral calculation, only

numerical values can be entered and equations such as 2

numerical values can be entered and equations such as 2

2

cannot

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

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

out re-entering the equation.

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

• When performing a differential calculation, enter the formula first and

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

out re-entering the equation.

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

• When performing a differential calculation, enter the formula first and

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

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

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

x

≠0 will be

x

×10

–5

and

x

=0 will be 10

–5

from the value of the numeric derivative.

• When performing an integral calculation, enter the formula first

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

numerical value is not specified for subintervals, calculation will

be performed using n=100.

numerical value is not specified for subintervals, calculation will

be performed using n=100.

Since differential and integral calculations are performed based on

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

certain rare cases, when performing special calculations that con-

tain discontinuous points.

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

certain rare cases, when performing special calculations that con-

tain discontinuous points.

Integral calculation (Simpson’s rule):

S=—h{

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

+2{

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

Differential calculation:

[When performing integral calculations]

Integral calculations, depending on the integrands and subintervals

included, require longer calculation time. During calculation, “Calculat-

ing!” will be displayed. To cancel calculation, press ª. Note that

there will be greater integral errors when there are large fluctuations in

Integral calculations, depending on the integrands and subintervals

included, require longer calculation time. During calculation, “Calculat-

ing!” will be displayed. To cancel calculation, press ª. Note that

there will be greater integral errors when there are large fluctuations in

DRG FSE TAB

0 1

the integral values during

minute shifting of the inte-

gral range and for periodic

functions, etc., where posi-

tive and negative integral

values exist depending on

the interval.

For the former case, divide

integral intervals as small

as possible. For the latter

case, separate the positive and negative values. Following these

tips will allow results of calculations with greater accuracy and will

also shorten the calculation time.

minute shifting of the inte-

gral range and for periodic

functions, etc., where posi-

tive and negative integral

values exist depending on

the interval.

For the former case, divide

integral intervals as small

as possible. For the latter

case, separate the positive and negative values. Following these

tips will allow results of calculations with greater accuracy and will

also shorten the calculation time.

Random Function

The Random function has four settings for use in the normal, statis-

tics, matrix and list modes. (This function cannot be selected while

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

succession, press ®. Press ª to exit.

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

tics, matrix and list modes. (This function cannot be selected while

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

succession, press ®. Press ª to exit.

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

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

[Random Numbers]

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

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

[Random Dice]

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

generated by pressing @`1®.

[Random Coin]

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

ated by pressing @`2®.

[Random Integer]

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

ing @`3®.

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

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

[Random Dice]

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

generated by pressing @`1®.

[Random Coin]

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

ated by pressing @`2®.

[Random Integer]

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

ing @`3®.

Angular Unit Conversions

Each time @g are pressed, the angular unit changes in sequence.

Memory Calculations

Mode

ANS

M, F1-F4

A-F, X,Y

NORMAL

STAT

STAT

×

×

EQN

×

×

×

CPLX

×

MAT

×

LIST

×

: Available

×

: Unavailable

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

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

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

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

[Independent memory (M)]

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

be added to or subtracted from an existing memory value.

Press ªOM to clear the independent memory (M).

[Last answer memory (ANS)]

The calculation result obtained by pressing = or any other

calculation ending instruction is automatically stored in the last

answer memory. A Matrix/List format result is not stored.

[Formula memories (F1-F4)]

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

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

a new equation in each memory will automatically replace the

existing equation.

Note:

• Calculation results from the functions indicated below are auto-

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

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

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

[Independent memory (M)]

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

be added to or subtracted from an existing memory value.

Press ªOM to clear the independent memory (M).

[Last answer memory (ANS)]

The calculation result obtained by pressing = or any other

calculation ending instruction is automatically stored in the last

answer memory. A Matrix/List format result is not stored.

[Formula memories (F1-F4)]

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

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

a new equation in each memory will automatically replace the

existing equation.

Note:

• Calculation results from the functions indicated below are auto-

matically stored in memories X or Y replacing existing values.

• Random function .......... Y memory

•

• Random function .......... Y memory

•

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

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

up to 14 digits.

Chain Calculations

• The previous calculation result can be used in the subsequent

calculation. However, it cannot be recalled after entering multiple

instructions or when the calculation result is in Matrix/List format.

instructions or when the calculation result is in Matrix/List format.

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

possible even if the previous calculation result is cleared by the

use of the ª or @c keys.

use of the ª or @c keys.

Fraction Calculations

Arithmetic operations and memory calculations can be performed

using fractions, and conversion between a decimal number and a

fraction.

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

using fractions, and conversion between a decimal number and a

fraction.

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

number is converted to and displayed as a decimal number.

Binary, Pental, Octal, Decimal, and Hexadecimal

Operations (N-Base)

Operations (N-Base)

Conversions can be performed between N-base numbers. The four

basic arithmetic operations, calculations with parentheses and

memory calculations can also be performed, along with the logical

operations AND, OR, NOT, NEG, XOR and XNOR on binary, pental,

octal and hexadecimal numbers.

Conversion to each system is performed by the following keys:

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

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

and “ ” disappear.)

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

basic arithmetic operations, calculations with parentheses and

memory calculations can also be performed, along with the logical

operations AND, OR, NOT, NEG, XOR and XNOR on binary, pental,

octal and hexadecimal numbers.

Conversion to each system is performed by the following keys:

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

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

and “ ” disappear.)

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

ß, ™, L, ÷, l, and I, and displayed

as follows:

as follows:

Exponential regression, Logarithmic regression,

Power regression, and Inverse regression calculation

Power regression, and Inverse regression calculation

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

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

formula into a linear regression formula before actual calculation

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

from converted data rather than entered data.)

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

formula into a linear regression formula before actual calculation

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

from converted data rather than entered data.)

Quadratic regression calculation

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

regression formula (y = a + bx + cx

regression formula (y = a + bx + cx

2

). (For quadratic regression

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

there are two x´ values, press @≠.

there are two x´ values, press @≠.

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

value can be held.

value can be held.

¯x

Mean of samples (x data)

sx

Sample standard deviation (x data)

Q

σx

Population standard deviation (x data)

n

Number of samples

Σx

Sum of samples (x data)

Σx

2

Sum of squares of samples (x data)

¯y

Means of samples (y data)

sy

Sample standard deviation (y data)

σy

Population standard deviation (y data)

Σy

Sum of samples (y data)

W

Σy

2

Sum of squares of samples (y data)

Σxy

Sum of products of samples (x, y)

r

Correlation coefficient

a

Coefficient of regression equation

b

Coefficient of regression equation

c

Coefficient of quadratic regression equation

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

Data Entry and Correction

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

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

[Data Entry]

Single-variable data

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

[Data Entry]

Single-variable data

Data k

Data & frequency k (To enter multiples of the same data)

Data & frequency k (To enter multiples of the same data)

Two-variable data

Data x & Data y k

Data x & Data y & frequency k (To enter multiples

of the same data x and y.)

Data x & Data y & frequency k (To enter multiples

of the same data x and y.)

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

data, a data item without frequency assignment is counted as

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

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

items without frequency assignment is counted as two data items,

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

three data items.

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

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

items without frequency assignment is counted as two data items,

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

three data items.

[Data Correction]

Correction prior to pressing k immediately after a data entry:

Correction prior to pressing k immediately after a data entry:

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

Correction after pressing k:

Use [] to display the data previously entered.

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

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

press the [ key.

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

tial number of the data set).

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

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

set all at once.

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

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

press the [ key.

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

tial number of the data set).

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

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

set all at once.

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

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

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

press k.

Statistical Calculation Formulas

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

• The absolute value of the intermediate result or calculation result

• The absolute value of the intermediate result or calculation 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.

• No solution exists in the quadratic regression calculation.

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

• No solution exists in the quadratic regression calculation.

Normal Probability Calculations

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

t

<0, because these functions follow the same principle used

when solving for an area.

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

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

SIMULTANEOUS LINEAR EQUATIONS

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

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

Q 2-VLE: m20

W 3-VLE: m21

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

Q 2-VLE: m20

W 3-VLE: m21

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

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

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

is 1

× 10

100

or more, an error occurs.

• Coefficients ( a

1

, etc.) can be entered using ordinary arithmetic

operations.

• To clear the entered coefficients, press @c.

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

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

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

displayed in the order of input, allowing the entered coefficients

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

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

played, enter the correct value and then press ®.

displayed in the order of input, allowing the entered coefficients

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

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

played, enter the correct value and then press ®.

QUADRATIC AND CUBIC EQUATION SOLVERS

Quadratic (ax

2

+ bx + c = 0

) or cubic (ax

3

+ bx

2

+ cx + d = 0

) equation

may be solved using this function.

Q Quadratic equation solver: m22

W Cubic equation solver:

Q Quadratic equation solver: m22

W Cubic equation solver:

m23

• Press ® after entering each coefficient.

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

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

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

tion will be displayed.

tion will be displayed.

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

The display can be switched between imaginary and real parts

by pressing @≠.

by pressing @≠.

COMPLEX NUMBER CALCULATIONS

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

complex numbers, press m3 to select the complex number

mode.

Results of complex number calculations are expressed in two modes:

Q

complex numbers, press m3 to select the complex number

mode.

Results of complex number calculations are expressed in two modes:

Q

@}: Rectangular coordinate mode (xy appears.)

W

@{: Polar coordinate mode (r

θ appears.)

Complex number entry

Q Rectangular coordinates

x-coordinate + y-coordinate Ü

or

or

x-coordinate + Ü y-coordinate

W Polar coordinates

r Ö

θ

r: absolute value

θ: argument

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

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

• A complex number expressed in rectangular coordinates with the

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

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

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

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

fied complex number.

MATRIX CALCULATIONS

This function enables the saving of up to 4 matrices (4 rows x 4

columns) for calculations. Press m4 to enter the matrix mode.

• Matrix data must be entered prior to making calculations. Press-

columns) for calculations. Press m4 to enter the matrix mode.

• Matrix data must be entered prior to making calculations. Press-

ing [/] will display the matrix edit buffer along with

.

Enter the value of each item (‘ROW’, ‘COLUMN’, and then each

element, e.g. ‘MAT1,1’) and press k after each. After enter-

ing all items, press ª, then press °2 and specify

matA-D to save the data.

element, e.g. ‘MAT1,1’) and press k after each. After enter-

ing all items, press ª, then press °2 and specify

matA-D to save the data.

• To edit data saved in matA-D, press °1 and specify

matA-D to recall the data to the matrix edit buffer. After editing,

press ª, then press °2 and specify matA-D to save

the data.

press ª, then press °2 and specify matA-D to save

the data.

• Before performing calculations, press ª to close the matrix

edit buffer.

• When results of calculations are in the matrix format, the matrix

edit buffer with those results will be displayed. (At this time, you

cannot return to the equation.) To save the result in matA-D,

press ª, then press °2 and specify matA-D.

cannot return to the equation.) To save the result in matA-D,

press ª, then press °2 and specify matA-D.

• Since there is only one matrix edit buffer, the previous data will

be overwritten by the new calculation.

• In addition to the 4 arithmetic functions (excluding divisions be-

tween matrices), x

3

, x

2

, and x

–1

, the following commands are

available:

LIST CALCULATIONS

This function enables the saving of up to 4 lists of 16 elements for

calculations. Press m5 to enter the list mode.

• List data must be entered prior to making calculations. Pressing

calculations. Press m5 to enter the list mode.

• List data must be entered prior to making calculations. Pressing

[/] will display the list edit buffer along with

. Enter

the value of each item (‘SIZE’, and then each element, e.g.

A

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

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

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

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

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

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

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

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

bers are displayed as a complement.

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

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

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

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

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

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

bers are displayed as a complement.

Time, Decimal and Sexagesimal Calculations

Conversion between decimal and sexagesimal numbers can be

performed, and, while using sexagesimal numbers, conversion to

seconds and minutes notation. The four basic arithmetic opera-

tions and memory calculations can be performed using the

sexagesimal system. Notation for sexagesimal is as follows:

performed, and, while using sexagesimal numbers, conversion to

seconds and minutes notation. The four basic arithmetic opera-

tions and memory calculations can be performed using the

sexagesimal system. Notation for sexagesimal is as follows:

Coordinate Conversions

• Before performing a calculation, select the angular unit.

• The calculation result is automatically stored in memories X

and Y.

• Value of r or x: X memory

• Value of r or x: X memory

• Value of

θ or y: Y memory

Calculations Using Physical Constants

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

A constant is recalled by pressing ß followed by the number

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

The recalled constant appears in the display mode selected with

the designated number of decimal places.

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

set to binary, pental, octal, or hexadecimal), statistics mode, equa-

tion mode, matrix mode and list mode.

Note: Physical constants and metric conversions are based either

A constant is recalled by pressing ß followed by the number

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

The recalled constant appears in the display mode selected with

the designated number of decimal places.

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

set to binary, pental, octal, or hexadecimal), statistics mode, equa-

tion mode, matrix mode and list mode.

Note: Physical constants and metric conversions are based either

on the 2002 CODATA recommended values or 1995 Edi-

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

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

ards and Technology) or on ISO specifications.

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

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

ards and Technology) or on ISO specifications.

Metric Conversions

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

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

set to binary, pental, octal, or hexadecimal), statistics mode, equa-

tion mode, matrix mode and list mode.

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

set to binary, pental, octal, or hexadecimal), statistics mode, equa-

tion mode, matrix mode and list mode.

No.

Constant

01

Speed of light in vacuum

02

Newtonian constant of gravitation

03

Standard acceleration of gravity

04

Electron mass

05

Proton mass

06

Neutron mass

07

Muon mass

08

Atomic mass unit-kilogram

relationship

relationship

09

Elementary charge

10

Planck constant

11

Boltzmann constant

12

Magnetic constant

13

Electric constant

14

Classical electron radius

15

Fine-structure constant

16

Bohr radius

17

Rydberg constant

18

Magnetic flux quantum

19

Bohr magneton

20

Electron magnetic moment

21

Nuclear magneton

22

Proton magnetic moment

23

Neutron magnetic moment

24

Muon magnetic moment

25

Compton wavelength

26

Proton Compton wavelength

27

Stefan-Boltzmann constant

No.

Constant

28

Avogadro constant

29

Molar volume of ideal gas

(273.15 K, 101.325 kPa)

(273.15 K, 101.325 kPa)

30

Molar gas constant

31

Faraday constant

32

Von Klitzing constant

33

Electron charge to mass quotient

34

Quantum of circulation

35

Proton gyromagnetic ratio

36

Josephson constant

37

Electron volt

38

Celsius Temperature

39

Astronomical unit

40

Parsec

41

Molar mass of carbon-12

42

Planck constant over 2 pi

43

Hartree energy

44

Conductance quantum

45

Inverse fine-structure constant

46

Proton-electron mass ratio

47

Molar mass constant

48

Neutron Compton wavelength

49

First radiation constant

50

Second radiation constant

51

Characteristic impedance of

vacuum

vacuum

52

Standard atmosphere

‘LIST1’) and press k after each. After entering all items,

press ª, then press °2 and specify L1-4 to save the

data.

press ª, then press °2 and specify L1-4 to save the

data.

• To edit data saved in L1-4, press °1 and specify L1-4 to

recall the data to the list edit buffer. After editing, press ª,

then press °2 and specify L1-4 to save the data.

then press °2 and specify L1-4 to save the data.

• Before performing calculations, press ª to close the list edit

buffer.

• When results of calculations are in the list format, the list edit

buffer with those results will be displayed. (At this time, you

cannot return to the equation.) To save the result in L1-4, press

ª, then press °2 and specify L1-4.

cannot return to the equation.) To save the result in L1-4, press

ª, then press °2 and specify L1-4.

• Since there is only one list edit buffer, the previous data will be

overwritten by the new calculation.

• In addition to the 4 arithmetic functions, x

3

, x

2

, and x

–1

, the follow-

ing commands are available:

ERROR AND CALCULATION RANGES

Errors

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

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

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

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

equation or press ª to clear the equation.

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

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

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

equation or press ª to clear the equation.

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 10

or exceeds 10

100

.

•

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

resulted in zero).

resulted in zero).

•

The calculation ranges were exceeded while performing calculations.

Depth error (Error 3):

•

•

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

for numeric values and 24 buffers for calculation instructions in the

normal mode).

*5 buffers in other modes, and 1 buffer for Matrix/List data.

for numeric values and 24 buffers for calculation instructions in the

normal mode).

*5 buffers in other modes, and 1 buffer for Matrix/List data.

•

Data items exceeded 100 in the statistics mode.

Equation too long (Error 4):

•

•

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

An equation must be shorter than 142 characters.

An equation must be shorter than 142 characters.

Equation recall error (Error 5):

•

•

The stored equation contains a function not available in the mode

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

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

recalled when the calculator is set to binary.

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

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

recalled when the calculator is set to binary.

Memory over error (Error 6):

•

•

Equation exceeded the formula memory buffer (256 characters in total

in F1 - F4).

in F1 - F4).

Invalid error (Error 7):

•

•

Matrix definition error or entering an invalid value.

Dimension error (Error 8):

•

•

Matrix/list dimensions inconsistent while calculation.

Invalid DIM error (Error 9):

•

•

Size of matrix/list exceeds calculation range.

No define error (Error 10):

•

•

Undefined matrix/list used in calculation.

Calculation Ranges

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

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

calculation error increases in continuous calculations due

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

for y

calculation error increases in continuous calculations due

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

for y

x

,

x

¿ , e

x

,

ln, Matrix/List calculations, etc., where con-

tinuous calculations are performed internally.)

Additionally, a calculation error will accumulate and become

larger in the vicinity of inflection points and singular points

of functions.

Additionally, a calculation error will accumulate and become

larger in the vicinity of inflection points and singular points

of functions.

degree

second

minute

↔

P (x,y )

X

Y

0

y

x

P (r,

θ )

X

Y

0

r

θ

Rectangular coord.

Polar coord.

Exponent

Equation

→

Display

Mantissa

←Symbol

No.

Remarks

1

in

: inch

2

cm

: centimeter

3

ft

: foot

4

m

: meter

5

yd

: yard

6

m

: meter

7

mile

: mile

8

km

: kilometer

9

n mile

: nautical mile

10

m

: meter

11

acre

: acre

12

m

2

: square meter

13

oz

: ounce

14

g

: gram

15

lb

: pound

16

kg

: kilogram

17

°F

: Degree Fahrenheit

18

°C

: Degree Celsius

19

gal (US) : gallon (US)

20

l

: liter

21

gal (UK) : gallon (UK)

22

l

: liter

No.

Remarks

23

fl oz(US) : fluid ounce(US)

24

m

l

: milliliter

25

fl oz(UK) : fluid ounce(UK)

26

m

l

: milliliter

27

J

: Joule

28

cal

: calorie

29

J

: Joule

30

cal

15

: Calorie (15n°C)

31

J

: Joule

32

cal

IT

: I.T. calorie

33

hp

: horsepower

34

W

: watt

35

ps

: French horsepower

36

W

: watt

37

38

38

Pa

: Pascal

39

atm

: atmosphere

40

Pa

: Pascal

41

(1 mmHg = 1 Torr)

42

Pa

: Pascal

43

44

44

J

: Joule

Prefix

Operation

Unit

k

(kilo)

∑10

10

3

M

(Mega)

∑11

10

6

G

(Giga)

∑12

10

9

T

(Tera)

∑13

10

12

m

(milli)

∑14

10

–3

µ

(micro)

∑15

10

–6

n

(nano)

∑16

10

–9

p

(pico)

∑17

10

–12

f

(femto)

∑18

10

–15

f

(x+ ––)–f(x– ––)

dx

2

dx

2

f’(x) =————————

dx

N=2n

h

=

b

– a

N

a

≤x≤b

1

3

3

——

y

x

b

x

x

x

x

a

0

1

3

2

y

a

b

x x

x

x

x

x

1

0

2

3

Type

Regression formula

Linear

y

= a + bx

Exponential

y

= a • e

bx

Logarithmic

y

= a + b • ln x

Power

y

= a • x

b

Inverse

y

= a + b —

Quadratic

y

= a + bx + cx

2

1

x

x

Returns a matrix with dimensions changed as

specified.

specified.

fill(

value,row,column) Fills each element with a specified value.

cumul

matrix name

Returns the cumulative matrix.

Appends the second matrix to the first matrix as new

columns. The first and second matrices must have

the same number of rows.

columns. The first and second matrices must have

the same number of rows.

identity

value

Returns the identity matrix with specified value of

rows and columns.

rows and columns.

rnd_mat(

row,column) Returns a random matrix with specified values of

rows and columns.

det

matrix name

Returns the determinant of a square matrix.

trans

matrix name

Returns the matrix with the columns transposed to

rows and the rows transposed to columns.

rows and the rows transposed to columns.

Creates lists with elements from the left column of each

matrix. (matA

matrix. (matA

→L1, matB→L2, matC→L3, matD→L4)

Mode changes from matrix mode to list mode.

Creates lists with elements from each column of the

matrix. (matA

matrix. (matA

→L1, L2, L3, L4)

Mode changes from matrix mode to list mode.

aug(

matrix name,

matrix name)

dim(

matrix name,

row,column)

mat

→list

(∑5)

matA

→list

(∑6)

sortA

list name

Sorts list in ascending order.

sortD

list name

Sorts list in descending order.

dim(

list name,size)

Returns a list with size changed as specified.

fill(

value,size)

Enter the specified value for all items.

cumul

list name

Sequentially cumulates each item in the list.

df_list

list name

Returns a new list using the difference between

adjacent items in the list.

adjacent items in the list.

aug(

list name,list name)

Returns a list appending the specified lists.

min

list name

Returns the minimum value in the list.

max

list name

Returns the maximum value in the list.

mean

list name

Returns the mean value of items in the list.

med

list name

Returns the median value of items in the list.

sum

list name

Returns the sum of items in the list.

prod

list name

Returns the multiplication of items in the list.

stdDv

list name

Returns the standard deviation of the list.

vari

list name

Returns the variance of the list.

o_prod(

list name,list name) Returns the outer product of 2 lists (vectors).

i_prod(

list name,list name) Returns the inner product of 2 lists (vectors).

abs

list name

Returns the absolute value of the list (vector).

Creates matrices with left column data from

each list. (L1

each list. (L1

→matA, L2→matB, L3→matC,

L4

→matD)

Mode changes from list mode to matrix mode.

Creates a matrix with column data from each

list. (L1, L2, L3, L4

list. (L1, L2, L3, L4

→matA)

Mode changes from list mode to matrix mode.

list

→mat

(∑5)

list

→matA

(∑6)