F-570SG (ASA GB) Eng front

F-570SG

User instruction

www.canon.com/calcmanual

SCIENTIFIC CALCULATOR

E-IE-483

ENGLISH

CONTENTS

Advice and Precautions .............................................................P.2

How to Use the Slide Cover ......................................................P.2

Display (2-Line Display) .............................................................P.3

To Get Start

Power On, Off .......................................................................P.4

Input Capacity ......................................................................P.4

Mode Selection .....................................................................P.5

Display Formals Setting ......................................................P.6

Input Editing .........................................................................P.6

Replay, Copy and Multi-statements ......................................P.7

Calculation Stacks ...............................................................P.8

Calculation Accuracy, Input Ranges .....................................P.9

Order of Operations ............................................................P.11

Error Messages and Error Locator......................................P.12

Before Using the Calculator ...............................................P.13

Basic Calculations

Arithmetic Calculations .......................................................P.14

Memory Calculations ..........................................................P.15

Fraction Operations ............................................................P.16

Percentage Calculations .....................................................P.17

Degree-Minutes-Seconds Calculations...............................P.18

Constant Value Calculations...............................................P.19

Metric Conversions .............................................................P.23

Engineering Notation Calculations .....................................P.24

Fix, Sci, Norm, Round ........................................................P.25

Functional Scientific Calculations

Square, Root, Cube, Cube Root, Power, Power Root,

Reciprocal and Pi................................................................P.26

Angle Unit Conversion ........................................................P.27

Trigonometry Calculations ..................................................P.27

Logarithm, Natural Logarithm, Antilogarithm and Logab ....P.28

Coordinate Conversion ......................................................P.29

Complex Number Calculations ...........................................P.29

Base-n Calculations and Logical Calculations....................P.31

Statistical Calculations .............................................................P.33

Standard Deviation ............................................................P.34

Regression Calculations ....................................................P.34

Distribution Calculations .....................................................P.38

Permutation, Combination, Factorials and Random

Number Generation ...........................................................P.39

Equation Calculations...............................................................P.40

Solve Function...........................................................................P.43

CALC Function ..........................................................................P.44

Differential Calculations ...........................................................P.45

Integration Calculations............................................................P.46

Matrix Calculations ...................................................................P.47

Vector Calculations...................................................................P.51

Battery Replacement.................................................................P.55

Specifications ...........................................................................P.56

1

ADVICE AND PRECAUTIONS

This calculator contains precision components such as

LSI chips and should not be used in place subject to rapid variations in temperature, excessive humidity dirt or dust, or exposed to direct sunlight.

The liquid crystal display panel is made of glass and should not be subjected to excessive pressure.

When cleaning the device do not use a damp cloth or a volatile liquid such as paint thinner. Instead, use only a soft, dry cloth.

Do not under any circumstances dismantle this device.

If you believe that the calculator is not functioning properly, either bring or mail the device together with the guarantee to the service representative of a Canon business office.

HOW TO USE THE SLIDE COVER

Open or close the cover by sliding as shown in the figure.

F-570SG

OPEN

F-570SG

CLOSE

2

DISPLAY (2-LINE DISPLAY)

Extension mark (Shows the presence of hidden formula)

Status indicators

Formula (12 characters)

Mantissa

<Status Indicators>

FIX

SCI

Eng

Disp

M

STO

RCL hyp

SD

REG

: Shift key

: Alpha key

: Independent memory

: Store Memory

: Recall Memory

: Hyperbolic key

: Statistic Mode

: Regression Mode

CPLX : Complex Number Calculation Mode

MATX : Matrix Calculation Mode

VCTR : Vector Calculation Mode

EQN : Equation Calculation Mode

: Degree Mode

: Radian Mode

: Gradient Mode

: Fixed-decimal Setting

: Scientific Notation

: Engineering Notation

: Polar Coordinate

: Angle value

: Switch between Real and Imaginary Number

: Imaginary number

: Multi-statements Display

: Up Arrow

: Down Arrow

Exponent

3

TO GET START

Power ON, OFF

First time operation:

1. Remove the battery insulation tab to load the battery.

2. Press to initialize the calculator.

(Power ON/Clear): Turns on the calculator when it is pressed.

(Power OFF): Turns off the calculator when it is pressed.

Auto Power Off Function:

When the calculator is not used for about 7 minutes, the calculator will automatically power off. In such a case, pressing

key powers the calculator on again.

Input Capacity

F-570SG allows you to input a single calculation up to 79 steps. One step is used as each time you press one of the numeric keys, arithmetic keys, scientific calculation keys or key. , ,

and the direction keys will not use up any step.

Starting from the 72nd step, the cursor changes from [ _ ] to [ ] that notifying the memory is running low. In case you need to input a single calculation with more than 79 steps, you should separate your calculation into two or more segments.

4

MODE Selection

Press to start the calculation mode selection with the following display:

When pressing or , you can access the next (or previous mode selection page.

The following table shows the mode selection menu:

Operation Mode

LCD

Indicator

COMP Normal Calculation

CPLX Complex Number Calculation CPLX

SD

REG

Statistical Calculation

Regression Calculation

SD

REG

BASE

EQN

MAT

VCT

Base-n Calculation

Equation Calculation

Matrix Calculation

Vector Calculation d / h / b / o

EQN

MATX

VCTR

Deg Degree

Rad Radian

Gra Gradient

Fix

Sci

Norm

Disp

*1

Fixed-decimal Setting

Scientific Notation

Exponential Notation

Display Setup Selection

D

R

G

FIX

SCI

*1 Display Setup Selection options

First page : Press [EngON] or [EngOFF] for engineering symbols on or off.

: Press [ab/c] or [d/c] to specify mixed fraction or improper fraction display.

: Press [Dot] or [Comma] to specify decimal point or 3-digits separator symbols.

[Dot] : The decimal point is indicated by dot and the 3-digits separator is indicated by comma.

[Comma] : The decimal point is indicated by common and the 3-digits separator is indicated by dot.

• To check or clear the calculation mode, refer page13.

5

Display Formats Setting

F-570SG can display a result up to 10 digits. Results exceed the digit limit will be automatically displayed by exponential notation format.

Example : Change the display formats for 1.23 x10 –03

Display Setting

Default setting :

Norm 1, EngOFF

Scientific Notation :

"5" significant digits

Exponential Notation : Norm 2

Fixed decimal places : "7"

Operation

* For Norm 1 and Norm 2, refer page 25.

Display (Lower)

1.23 x10–03

1.2300 x10–03

0.00123

0.0012300

Example : 1.23 x10

–03

= 1.23 m (milli)

Display Setting

Engineering Symbols : On

Display without engineering symbols

Operation Display

123x.00001 m

1.23

123x.00001

0.00123

Input Editing

New input begins on the left of the upper (entry) line. As the entries are more than 12 digits, the line will scroll to the right consecutively.

Press to scroll the cursor within the upper (entry) line and you can perform input editing as needed.

Example (under editing):

1234567 889900

Replacing an entry (1234567 1234560)

Display Setting

Press or keep pressing until

"7" blinks

Operation

Replace with "0"

Display (Upper)

1234567+8899

1234560+8899

6

Deletion (1234560 134560 )

Display Setting


"2" blinks

"2" is deleted

Operation Display (Upper)

1234560+8899

134560+88990

Insertion (889900 2889900)

Display Setting


"8" blinks

"8" and blinks alternately

Insert "2", "8" still blinking


134560+88990

134560+ 8 8990

134560+2 8 899

Replay, Copy and Multi-statements

Replay

• Replay memory capacity is 128 bytes that can store calculation

expressions and results.

• After the calculation is executed, the calculation expression and

its result will be stored in the replay memory automatically.

• Pressing (or ) can replay the performed calculation


• Replay memory is cleared when you.

i) Initialize calculator setting by (or ) .

ii) Change from one calculation mode to another.

Copy

• Press after replayed the previous calculation

expressions (statements) can make a multi-statement with the

current calculation expression.

7

Replay, Copy and Multi-statements

Replay

• Replay memory capacity is 128 bytes that can store calculation


• After the calculation is executed, the calculation expression and

its result will be stored in the replay memory automatically.

• Pressing (or ) can replay the performed calculation


• Replay memory is cleared when you.

i) Initialize calculator setting by (or ) .

ii) Change from one calculation mode to another.

Copy

• Press after replayed the previous calculation

expressions (statements) can make a multi-statement with the

current calculation expression.

Multi-statements

• You can put two or more calculation expressions together by using a colon .

• The first executed statement will have [Disp] indicator; and the

[Disp] icon will disappeared after the last statement is being executed.

Example :

Operation Display (Upper line)

8 + 9

5 x 2

Display (Lower Line)

17.

10.

Disp

Ans + 6

9 : 5 x 2 : Ans + 6

8 + 9

5 x 2

Ans + 6

16.

17.

17.

Disp

10.

Disp

16.

Calculation Stacks

This calculator uses memory areas, called "stacks", to temporarily store numeric value (numbers) and commands (+ – x ...) according to their precedence during calculations.

The numeric stack has 10 levels and the command stack has 24 levels. A stack error [Stack ERROR] occurs whenever you try to perform a calculation that exceeds the capacity of stacks.

Matrix calculations use up to two levels of the matrix stack.

Squaring a matrix, cubing a matrix, or inverting a matrix uses one stack level.

Calculations are performed in sequence according to "Order of

Operations". After the calculation is performed, the stored stack values will be released.

8

x

X 2

X

3

X

–1

3 x logx lnx

10 x

e

x sinhx coshx sinh -1 x cosh

-1 x tanh

-1 x tan x sin

–1 x cos

–1 x tan

–1 x tanhx

X!

Calculation Accuracy, Input Ranges

Internal digits: Up to 16

Accuracy*: As a rule, accuracy is 1 at the 10 th

digit.

Output ranges: 1 x 10

–99

to 9.999999999 x 10

99

Function Input Range

sin x Deg 0 | x | <9x10

9 cos x

Rad 0 | x | <157079632.7

Grad 0 | x | <1x10 10

Deg 0 | x | <9x10

10

Rad 0 | x | <157079632.7

Grad 0 | x | <1x10 10

Deg Same as sinx, except when | x | =(2n-1)x90

Rad Same as sinx, except when | x | =(2n-1) /2

Grad Same as sinx, except when | x | =(2n-1)100

0 | x | 1

0 | x | 9.999999999x10

99

0 | x | 230.2585092

0 | x | 4.999999999x10

99

1 x 4.999999999x10

99

0 | x | 9.999999999 x10

–1

0< x 9.999999999x10

99

–9.999999999x10

99

x 99.99999999

–9.999999999x10

99

x 230.2585092

0 x < 1x10

100

| x | < 1x10 50

| x | 2.15443469x10

33

| x | < 1x10

100

; x≠0

| x | < 1x10 100

0 x 69 (x is an integer)

9

Function Input Range

nPr 0 n

<

1x10

10

, 0 r n (n, r are integers) nCr

Pol(x,y)

Rec(r, )

1 {n!/(n-r)!} 1 x10

100

0 n

x

2

+y

<

2

1x10

10

, 0 r n (n, r are integers)

1 n!/r! 1x10

100 or 1 n!/(n-r)!

| x |, | y | 9.999999999x10

9.999999999x10

0 r 9.999999999x10

99

99

99

<

1x10

100

˚

' "

: Same as sinx, cosx

| a |, b, c

<

1x10

100

< ˚

' "

0 b, c

| x |

<

1x10

100

Decimal Sexagesimal Conversions

0º0'0" | x | 999999º59'59"

x

>

0: –1x10

100

<

y logx

<

100

^

(x y

) x=0: y

>

0

x

<

0: y=n,m/(2n+1), (m, n are integers),

However: –1x10

100

<

y log | x |

<

100

y x

y

>

0: x≠0, –1x10 y=0: x

>

0

100

< 1/xlog

<

100 y

<

0: x=2n+1,(2n+1)/m (m≠0; m, n are integers) a b c

I~Rand(a,b)

Rand

Total of integer, numerator, and denominator must be

10 digits or less (including division marks).

0 a<1x10

10

, 0 b<1x10

10

(a,b should be positive integers or 0)

Result generates a 3 digit pseudo random number

(0.000~0.999)

Single-variable | x |

<

|FREQ|

Paired-variable | y |

|FREQ|

ABS | x |

1x10

100

<

1x10

100

| x |

<

1x10

100

<

1x10

100

<

1x10

100

<

1x10

100

BIN

DEC

OCT

HEX

Positive : 0~0111 1111 1111 1111 1111 1111 1111 1111

Negative : 1000 0000 0000 0000 0000 0000 0000 0000~

1111 1111 1111 1111 1111 1111 1111 1111

Positive : 0 ~ 2147483647

Negative : –2147483647 ~ –1

Positive : 0 ~ 177 7777 7777

Negative : 200 0000 0000 ~ 377 7777 7777

Positive : 0 ~ 7FFF FFFF

Negative : 8000 0000 ~ FFFF FFFF

10

*For a single calculation, the calculation error is ±1 at the 10th digit.

For exponential display, calculation error is ±1 at the last significant digit. Errors are cumulative in the case of consecutive calculations, which can cause them to become larger. (This is also true as internal consecutive calculations are performed in the case of ^(xy), x y, x!, nPr, nCr, etc.). In the vicinity of a function's singular point and point of inflection, errors are cumulative and may become large.

11th

12th

13th

14th

15th

16th

Order of Operations

The calculator will automatically determine the operation priority. This means that algebraic expressions can be entered just as they are written and the calculation priority is as follows:

1st Priority

2nd

3rd

4th

5th

6th

7th

8th

9th

10th

Recall memory (A - F, X, Y), Rand

Calculation within parentheses ( ).

Function with parentheses that requests the input argument to the right Pol(, Rec(, Abs(, i~Rand(, logab(, d/dx, dx, P(, Q(, R(,

Statistic points: Max, Min, Med

Functions that come after the input value preceded by values, powers, power roots : x

2

, x

3

, x

–1

Statistical estimated value calculation:

, x!,

° ' ", °,

ˆ ˆ ˆ ˆ

r, g,

Percent %, EXP

Engineering symbols (T, G, M, k, m, µ, n, p, f) metric conversion commands (cm in, etc)

^(, x

Fractions: a b/c, d/c

Prefix symbol: (–) (negative sign),

Base-n symbols (d, h, b, o, Neg, Not)

Multiplication where sign is omitted: Multiplication sign omitted immediately before , e, variables (2 , 5A,

A, etc.)

Function that come before the input value without parentheses. sin, cos, tan sin tanh, sinh

–1

, cosh

–1

, tanh

–1

–1

, cos

–1

, tan

–1

, sinh, cosh,

, log, In, e^, 10^, ,

3

, Arg,

Conjg, Det, Trn

Permutations, combinations: nPr, nCr

Complex number polar coordinate symbol ( )

Dot: .

Multiplication and division:

×,

Addition and subtraction:

+, –

Logical AND (and)

÷

Logical OR, XOR, XNOR (or, xor, xnor)

Calculation ending instruction: =, M+, M– STO(store memory), r< , a+bi

11

Operations of the same precedence are performed from right to left.

For example: e x ln 120 e x {ln( 120)}. Other operations are performed from left to right

Operations enclosed with parentheses are performed first. When a calculation contains an argument that is a negative number, the negative number must be enclosed within parentheses.

Example: (–2) 4 = 16; and –2 4 = –16

Error Messages and Error Locator

The calculator is locked up while an error message is shown on the display to indicate the cause of the error.

Press to clear the error, or

Press or to display the calculation with the cursor positioned under the error and you can correct it accordingly.

Error Message

Math ERROR

Cause

• Calculation result is outside the allowable calculation range

• An attempt to perform a calculation using a value that exceeds the allowable input range.

• An attempt to perform an illogical operation

(division by zero, etc.)

Action

• Check your input values

and make sure they are

all within the allowable

ranges. Pay special

attention to values in any

memory areas you are

using.

• Press or to display

the calculation with the

cursor located at the

location of the error and

make required corrections.

Stack ERROR

The capacity of the numeric stack or operator stack is exceeded.

Syntax ERROR An attempt to perform an problematic format of the calculation

Simplify the calculation.

The numeric stack has 10 levels and the operator stack has 24 levels.

Divide your calculation into two or more separate parts.

Press or to display the calculation with the cursor located at the location of the error and make required corrections.

12

Error Message

Arg ERROR

Dim ERROR

Cause

Improper use of an argument.

Action

Press or to display the location of the cause of an error and make required corrections.

• Under Matrix and Vector mode, the dimension

(row, column) over three.

• An attempt to perform an illegal matrix/vector operation.


Solve ERROR

Can’t get the result by solve function.


Before Using the Calculator

Check the current Calculation Mode

Be sure to check the status indicators that indicate the current calculation mode (CPLX, SD... etc) and angle unit setting (Deg, Rad

Gra) before starting a calculation.

Return Calculation Mode to the initial setup

You can return the calculation mode to the initial default by pressing

(Mode)

Calculation Mode

Angle Unit

Exponential Display Format

: COMP

: Deg

: Norm 1, Eng Off

Complex Number Display Format : a+bi

Fraction Display Format

Decimal Point Character

: a b/c

: Dot

, and this action will not clear the variable memories.

Initialize the Calculator

When you are not sure the current calculator setting, you are recommended to initialize the calculator (calculation mode "COMP", angle unit "Degree", and clear replay and variable memories) by performing the following key operations: (All) .

13

Press to enter COMP mode as you want to perform basic calculations.

During the busy calculation, the calculator will display the message [PROCESSING].

Arithmetic Calculations

• To calculate the negative values (excludes the negative exponent), you have to enclose them with parentheses.

• To input the negative vaues, use .

Calculation Expression Operation Display (Result)

• This Calculator supports 24-level of parenthetical expression.

• You can omit the close parentheses as the calculation ends with or .

Calculation Expression Operation Display (Result)

! When the number of is more than , [SYNTAX Error] will be shown.

14

Memory Calculations

Memory Variables

• There are 8 memory variables (A through F, X and Y) which store data, results, or dedicated values.

• To store values into memory by pressing + Memory variable.

• To recall memory values, press + Memory variable.

• Memory content can be cleared by simply pressing +

Memory variable.

Example: 23 + 7 (Store to A), calculate sin (memory A), and clear memory A

Calculation Operation Display (Upper Line)

Display (Lower Line)

Independent Memory

• Independent memory uses the same memory area as variable M.

It is convenient for calculating cumulative total by just pressing

(add to memory) or (subtract from memory); and the memory contents are retained even when the calculator is turned off.

• To clear independent memory (M), input .

! When you want to clear all memory values, press

(Mcl)

Answer Memory

• The input values or the most recent calculation result will be automatically stored into Answer Memory whenever you press ,

, , or followed by a memory variables.

• If you continue with pressing an operator key (x 2 , x 3 , x -1 , x!, %, +,

–, x,

÷

, DRG , ^, x , nPr and nCr), the displayed value will be changed into [Ans] plus the operator key. Then, you can perform a new calculation with the latest Answer Memory.

Calculation Operation Display (Upper) Display (Lower)

15

• You can recall and use the latest stored Answer Memory by pressing .

Calculation Operation Display (Upper) Display (Lower)

! Answer Memory is not updated as an error operation had been performed.

Fraction Operations

The Calculator support Fraction Calculation and the conversions between Fraction, Decimal point, Mixed fraction and Improper fraction.

Fraction Calculation, Fraction Decimal point conversion

Example Operation Display (Lower)

(Fraction

Decimal)

• Result will be displayed in decimal format automatically whenever the total digits of a fractional value (integer + numerator + denominator + separator marks) exceeds 10.

• As a fraction calculation is mixed with decimal value, the result will be displayed by decimal format.

Decimal Mixed fraction Improper fraction conversion

Example Operation Display (Lower)

(Decimal Mixed Fraction)

(Mixed Fraction

Improper Fraction)

• Fraction conversion may take as long as two seconds.

16

! You can specify the fraction calculation result (when the result greater than one) display format by either mixed fraction or improper fraction. Simply press [Disp] , then press the corresponding setting you need:

a b/c

d/c

: Mixed fraction

: Improper fraction

Percentage Calculations

You can perform the following percentage calculations:

Basic : To calculate a certain percentage of a value

(A B ).

: Percentage of a value against another value

(A B ).

Operation Display (Upper) Display (Lower) Example

To calculate 25% of 820

The percentage of

750 against 1250

Mark up and Discount

Example

820 mark up

25%

Operation

820 have 25% discount

Display (Upper) Display (Lower)

Percentage Increase : If "A" is added to "B", the percentage increase from "B" is:

Percentage Change : If "A" is changed into "B", the percentage change from "A" to "B" is:

17

Example

300 is added to 750, the percentage


(300+750) 75

Display (Lower)

140.

increase of 750 is

25 increased into 30, the percentage change of 25 is

(30–25) 25x1 20.

Percentage Proportion : the ratio/ percentage of each individual portion in a calculation expression.

If A + B + C = D

Examples: To calculate the ratio of each portion as 25+85+90=200

(100%), the ratio of 25 is 12.5%, 85 is 42.5%, 90 is 45%

Operation


* You can store the sum of value into memory variables, then recall and use the value by pressing or + Memory variable.

Degree-Minutes-Seconds Calculations

You can use degrees (hours), minutes and seconds key to perform a sexagesimal (base-60 notational system) calculation or convert the sexagesimal value into decimal value.

Degree-Minutes-Seconds Decimal points

Examples Operation

86 o 37' 34.2'' 0.7 =

123 o 45'6''

123 o 45'6'' 123.7516667

Display (Lower)

123 o 45 o 6.

123.7516667

2.3456 2 o 20'44'' 2 o 20 o 44.16

18

Constant Value Calculations

F-570SG has total 79 constant values, you can enter (or exit) the constant value selection menu by pressing , the following display will be shown:

• You can go to the next or previous value selection pages by pressing or .

• To select a constant value simply press or button. The selection cursor will shift left or right to underline a constant symbol and at the same time the display lower line will show the value of the underlined constant symbol.

• The underlined constant symbol will be selected as you press .

• You can instantly get the constant value if you input the constant value item number and press when the selection cursor is underling 0 0.

Operation

(menu selection page)

Display

(confirm selection)

19

Scientific Constant Table

NO.

Constant

Proton mass

Neutron mass

Electron mass

Muon mass

Bohr radius

Planck constant

Nuclear magneton

Bohr magneton

Fine-structure constant

Classical electron radius

Compton wavelength

Proton gyromagnetic ratio

Proton Compton wavelength

Neutron Compton wavelength

Rydberg constant

(unified) atomic mass unit

Proton magnetic moment

Electron magnetic moment

Neutron magnetic moment

Muon magnetic moment

Faraday constant

Elementary charge

Avogadro constant

Boltzmann constant

Molar volume of ideal gas

Molar gas constant

Speed of light in vacuum

First radiationn constant

Second radiation constant hc/k

Symbol Value

1.672621777x10

-27

1.674927351 x10

-27

9.10938291x10

-31

1.883531475x10

-28

0.52917721092x10

-10

6.62606957 x10

-34

5.05078353 x10

-27

927.400968 x10

-26

1.054571726 x10

-34

7.2973525698x10

-3

Unit

2.8179403267x10

-15

2.4263102389 x10

-12

2.675222005 x10

8

1.32140985623 x10

-15

1.3195909068x10

-15

10973731.568539

1.660538921 x10

-27

1.410606743x10

-26

-928.476430x10

-26

-0.96623647 x10

-26

-4.49044807 x10

-26

96485.3365

1.602176565x10

-19

6.02214129x10

23

1.3806488 x10

-23

22.413968 x10

-3

8.3144621

299792458

3.74177153x10

-16

1.4387770 x10

-2

20

NO.

Constant

Stefan-Boltzmann constant

Electric constant

Magnetic constant

Magnetic flux quantum

Standard acceleration of gravity

Conductance quantum

Characteristic impedance of vacuum

Celsius temperature

Newtonian constant of gravitation

Standard atmosphere

Proton g-factor

Symbol

Planck length

Planck time

Planck mass

Atomic mass constant

Electron volt:

Molar planck constant

Wien displacement lawconstant

Lattice parameter of Si(in vacuum, 22.5▫C)

Hartree energy

Loschmidt constant

Inverse of conductance quantum

Josephson constant

Von Klitzing constant

Thomson cross section

Electron magnetic moment auomaly

Electron g-factor–2(1 + ae)

Electron gyromagnetic ratio

Muon magnetic moment anomaly

Muon g-factor-2

21

Value Unit

Pa

NO.

Constant

Muon Compton wavelength

Tau Compton wavelength

Symbol

Tau mass

Shielded proton magnetic moment moment (H

2

O, sphere, 25ºC)

Neutron g-factor

Neutron gyromagnetic ratio

Deuteron mass

Deuteron magnetic moment

Helion mass

Shielded helion magnetic moment (gas, sphere, 25ºC)

Shielded helion gyromagnetic ratio

(gas, sphere, 25ºC)

Molar planck constant

Shielded proton gyromagnetic ratio

(H

2

O, sphere, 25ºC)

Proton magnetic shielding correction sphere, 25ºC)

! Constant value cannot perform rounding.

Source: CODATA Internationally 2010

http://physics.nist.gov/constants

Value Unit

22

Page

1

2

3

4

5

Metric Conversions

F-570SG has 172 patterns of unit conversions to convert a value to specified metric units. There are 8 categories including distance, area, temperature, capacity, weight, energy, pressure and speed.

• Press to enter the conversion menu.

• Press or to select the category .

• Press or then to select the start unit.

• Press or then to select the end unit. You can preview

the value before pressing .

6

7

8

Symbol Unit

Tr.oz oz lb

Kg g

J cal.f atm

Kpa mmHg cmH

2

O m/s km/h feet m mil mm in cm yd mile km ft

2 yd

2 m

2 mile km

2

2 hectares acres feet meter milliliter millimeter inch centimeter yard mile kilometer square foot square yard square meter square mile square kilometer hectare acre o F degree o C gal liter

B.gal pint fl.oz degree Celsius gallon (U.K.) liter gallon (U.S.) pint fluid ounces (U.S.) ounce (troy or apothecary) ounces libra kilogram gram joule calorie standard atmosphere kilopascal millimeter of mercury centimeter of water

Meter per second

Kilometer per hour

23

• You can go back to the calculation mode instantly as the key is pressed within the category selection pages. But after selected the base conversion unit, , or keys will be invalid.

Example: Convert 10 + (5 ft 2 m 2 ) = 10.4645152

Operation Display

(enter the conversion menu)

(select ft 2 )

(convert to m

2

)

(calculate the answer)

! If the converted result is overflow, [-E-] will be shown in the lower display. User cannot press to select the over flow value but following scenario are valid:

Scenario A - Keep selecting the other conversion value by pressing or .

Scenario B - Clear the screen by and jump out the selection.

Scenario C - Pressing to jump back to previous calculation screen.

Engineering Notation Calculations

Following nine symbols can be used when engineering symbols are turned on by pressing and the LCD will display

[Eng].

Operation Unit Unit

k Kilo

M

G

Mega

Giga

10

6

10

9

T

m

Tera

Milli

10

12

10

-3

Micro 10

-6

n

p

Nano

Pico

10

-9

10

-12

f Femto

10 3

10 -15

24

Example: Convert 0.0007962 second into nano-second =

796200 x 10 -9

Operation Display (Upper) Display (Lower)

Example: 0.128 gram + 9.3 kilogram = 9300.128 gram

796,200.

Fix, Sci, Norm, ROUND

You can change the number of decimal point, the number of significant digits, or the exponential notation criteria by pressing

to the following selection screen:

Press (Fixed Decimal Setting) : [ Fix 0 ~ 9? ] appears on the display. Then, you can specify the number of decimal places by pressing ~ .

Press (Scientific Notation) : [ Sci 0 ~ 9? ] appears on the display. Then, you can specify the number of significant digits by pressing ~ .

Press (Exponential Notation) : [ Norm 1 ~ 2? ] appears. Then,

you can specify the exponential notation format by pressing

or .

Norm 1 : Exponential notation is automatically used for integer values with more than 10 digits and decimal values with more than two decimal point.

Norm 2 : Exponential notation is automatically used for integer values with more than 10 digits and decimal values with more than nine decimal point.

• To clear the setting, refer page 13.

(internal rounding) : Calculate the value or formula result to

decimal, round it off to the significant

decimal place according to the current

specified indication digit setting

(Fix, Sci, Norm).

25

Examples: 57

÷

7 x 20 = ??

Operation Display (Lower)

At default setting.

To fix 4 digits decimal point.

(Internal calculation continues

16 digits)

162.8571429

162.8571

8.1429

162.8571

Perform internal rounding under the specified decimal

8.1429

setting. 162.8580

To display by 6 digits scientific notation.

1.62858 x10

02

Notation format by pressing to clear the FIX and Sci specifications.

162.858

FUNCTIONAL SCIENTIFIC CALCULATIONS

Press to enter COMP mode for performing functional scientific calculations.

During the busy calculation, the calculator will display the message [PROCESSING].

= 3.14159265359

Square, Root, Cube, Cube Root, Power, Power Root,

Reciprocal and Pi

Square

Power

Example:

Root

Cube Cube Root

Power Root Reciprocal Pi


Example:


26

At default setting.

To fix 4 digits decimal point.

(Internal calculation continues

16 digits)

162.8571429

162.8571

8.1429

162.8571

Perform internal rounding under the specified decimal

8.1429

setting. 162.8580

To display by 6 digits scientific notation.

1.62858 x10

02

Notation format by pressing to clear the FIX and Sci specifications.

162.858

Angle Unit Conversion

The calculator default angle unit setting is "Degree". If you need to change into "Radian" or "Gradient", you can press a number of times until you reach the setup screen:

Then press the corresponding number key , or for the angle unit you need. Then the display will show the D , R or G indicator accordingly.

To convert an angle unit between "Degree", "Radian" and "Gradient", you can press and the following display menu will be shown:

Then, press , or will convert the displayed value into the selected angle unit. If you want to indicate the value with other degree unit after conversion, change the unit using .

Example: Convert 180 degree into radian and gradient

(180º =

Rad

= 200

Gad

)

Operation

(Radian mode)


(Gradient mode)

Trigonometry Calculations

Before using the trigonometric functions (except hyperbolic calculations), select the appropriate angle unit (Deg/ Rad/ Gad) by .

90 o

= ; Radian = 100 Gradient.

27

Trigonometric (sin/ cos/ tan), Inverse Trigonometric

(sin -1 / cos -1 / tan -1 ) Functions

Operation Examples

Degree Mode sin 53 o 22’ 12” = 0.802505182

Display (Lower)

0 .

0.802505182

cosec x = 1/sinx cosec 45 o = 1.414213562 tan

-1

(5/6) = 39.80557109°

Radian Mode cos( /6)

Rad

= 0 .

8 6 6 0 2 5 4 0 3

0.785398163 cos

-1 — =

2

0 .

2 5 ( R a d )

1.414213562

39.80557109

0 .

0 .

8 6 6 0 2 5 4 0 3

0.785398163

0 .

2 5

Hyperbolic (sinh/ cosh/ tanh), Inverse Hyperbolic

(sinh -1 / cosh -1 / tanh -1 ) Functions

Examples Operation Display (Lower)

Logarithm, Natural Logarithm,

Antilogarithm and Logab

Examples

log 255 + ln 3 = 3.505152469

Operation

e

–3

+ 10

1.2

= 15.89871899 log

3

81 – log 1 = 4

Display (Lower)

3.505152469

1 5 .

8 9 8 7 1 8 9 9

4 .

28

Coordinate Conversion

With polar coordinates, you can calculate and display result

within –180 o

180 o

range. (Same as Radian and Gradient)

After conversion, results will automatically assigned to memory variables E and F.

: To convert rectangular coordinates (x, y) to polar coordinates ( r , ); Press to display the value of r, or to display the value of .

Examples

Degree Mode

Operation

With rectangular coordinate

(x =1,y = 3). Find Polar coordinate (r, ) at degree mode

Display (Lower)

0 .

2.

60.

2.

: To converts polar coordinates ( r , ) to rectangular coordinates (x, y); Press to display the value of x, or to display the value of y.

Examples

With Polar coordinate (r=2,

=60º). Find rectangular coordinate (x,y) at degree mode

Operation Display (Lower)

1.

1.732050808

1.

! [Syntax ERROR] will be shown if is missed in the coordinate conversion calculation.

Complex Number

Calculations

Complex numbers can be expressed by rectangular form (z = a + bi) or polar form (r ). Where " a " is the real number part, " bi " is the imaginary number part (and i is the imaginary unit equal to square root of –1,

–1

), " r " is the absolute value, and " " is the argument of the complex number.

Imaginary axis ( i )

29

Real axis

As you need to perform the complex number calculation

Press to enter CPLX mode.

Check the current angle unit setting (Deg, Rad, Grad).

The indicator will be shown as the calculation result having complex numbers. Just press to switch the result display.

] icon indicate the display result is imaginary number part;

[ ] indicate the display value is the argument value .

But the imaginary numbers will use up replay memory capacity.

Displaying the complex number calculation result

Pressing , following display options will be shown:

a+bi r

1 2

You can set up the complex number calculation result display format by pressing:

: Rectangular form (Default setting).

: Polar form (the [r ] display indicator will be turned on).

Example: (12+3 ) – (3 + 1 ) = 9 + 2 = 9.219544457 (r)

12.52880771 ( )

Operation (Angle Unit: Degree)

(change display value)

Display (Upper)

(12+3i)-(3+i

(12+3i)-(3+i

(12+3i)-(3+i

Display (Lower)

9.

2.

12.52880771

(12+3i)-(3+i 9.219544457

Rectangular Form Polar Form Conversion

Press can convert rectangular form complex number into polar form; whereas press will convert polar form complex number into rectangular form.

Example: 3 + 4 = 5 53.13010235

Operation (Angle Unit: Degree)

3 4

Display (Upper)

3 + 4i >

3 + 4i >

Display (Lower)

5

53.13010235

30

Example:

2

45 = 1 +

Operation (Angle Unit: Degree) Display (Upper)

2 45>a+bi

2 45>a+bi

Display (Lower)

1.

1.

Absolute Value and Argument Calculation

With the rectangular form complex number, you can calculate the corresponding absolute value (r) or argument ( ) by or

key respectively.

Example: What's the absolute value (r) and argument ( ) if complex number is 6+8


Abs ( 6+8i

Arg ( 6+8i

Display (Lower)

10.

53.13010235

Conjugate of a complex number

If the complex number is z = a + bi, the conjugate value of this complex number should be z = a – bi.

Example: The conjugate of 3 + 4 is 3 – 4


Conjg ( 3+4i

Conjg ( 3+4i

Display (Lower)

3.

– 4.

Base-n Calculations and Logical Calculations

Press to enter Base-n mode for decimal (base 10), hexadecimal (base 16), binary (base 2), octal (base 8), or logical calculations.

Default base number system is Decimal with [d] display indicator

To select a specific number system in base mode, simply press

Decimal [d], Hexadecimal [H], Binary [b], or

Octal [o].

The key allows you to perform logical calculations includes:

Logic connection [And] / [Or], exclusive or [Xor], exclusive nor

[Xnor], argument complement [Not], and negation [Neg].

If the binary or octal calculation result is more than 8-digit, [1b] /

[1o] will be displayed to indicate the result has next block. Keep pressing can loop between result blocks.

All the scientific functions cannot be used, and you cannot input the value with decimal place or exponent.

31

Binary Calculation

Example: 10101011 + 1100 – 1001 x 101 10 = 10100001

(at Binary Mode)


Octal Calculation

Example: 645 + 321 – 23 x 7 2 = 1064 (at Octal Mode)

645+321-23x7 1064.

o

Hexadecimal Calculation

Example: (77A6C + D9) x B F = 57C87 (at Hexadecimal Mode)

(77A6C + D9) x B 57C87.

H

Base-n transformation

Logical Operation

Examples

789ABC Xnor 147258

12345+b101 12352.

o

12345+b101

12345+b101

(go to next block of the result) 12345+b101

12345+b101

Operation

14EA.

H

11101010.

1b

10100.

2b

11101010.

1b

Display (Lower)

FF93171b.

H

Ans Or 789ABC

Neg 789ABC

FFFb9FbF.

H

FF876544.

H

! Beware of the allowable input range of each number system

(page 10).

32

STATISTICAL CALCULATIONS [SD] [REG]

To enter the standard deviation mode by pressing ,

[SD] indicator lights up. If press , you can enter the regression mode selection menu. [REG] indicator will be turned on.

Before starting, be sure to clear the statistic memory by pressing

.

Perform the data input (Precautions!).

• In SD mode, store the displayed data by pressing .

• In REG mode, store the x-data and y-data in the form of:

x-data y-data .

• Pressing will input the same data twice.

• Use for same data multiple entries. For example in SD mode, the data 20 has 8 times will press 20 8 .

• Each time you press to register the input, the number of data input up to that point is indicated on the display once

(n = the number of input data).

• Press or key during or after data input can display the data value (x) and data frequency (Freq). Follow with the above example, press will display [x1 = 20], and press will display [Freq1= 8].

• To edit the stored data, input the new value during the display of that data value (x) after pressing or key, and then press to confirm the edit. But, if you press instead of

,a new data value will be stored.

• Press can delete the data during the display of that data value (x) after or key is pressed; and the sequence of the data which following the deleted data will be shifted up automatically.

• Press key to exit the data value and frequency display, then you can perform other calculation operations.

• Input data are stored in calculation memory. As the memory full,

[Data Full] will be displayed and you cannot input or perform any calculation. Press key to perform other calculation operations.

• After changing into another mode or regression type (Lin, Log,

Exp, Pwr, Inv, Quad), input data will be cleared.

After finishing data entries, you can recall or calculate the statistical values.

33

To enter the standard deviation mode by pressing ,

[SD] indicator lights up. If press , you can enter the regression mode selection menu. [REG] indicator will be turned on.

Before starting, be sure to clear the statistic memory by pressing

.

Perform the data input (Precautions!).

• In SD mode, store the displayed data by pressing .

• In REG mode, store the x-data and y-data in the form of:

x-data y-data .

• Pressing will input the same data twice.

• Use for same data multiple entries. For example in SD mode, the data 20 has 8 times will press 20 8 .

• Each time you press to register the input, the number of data input up to that point is indicated on the display once

(n = the number of input data).

• Press or key during or after data input can display the data value (x) and data frequency (Freq). Follow with the above example, press will display [x1 = 20], and press will display [Freq1= 8].

• To edit the stored data, input the new value during the display of that data value (x) after pressing or key, and then press to confirm the edit. But, if you press instead of

,a new data value will be stored.

• Press can delete the data during the display of that data value (x) after or key is pressed; and the sequence of the data which following the deleted data will be shifted up automatically.

• Press key to exit the data value and frequency display, then you can perform other calculation operations.

• Input data are stored in calculation memory. As the memory full,

[Data Full] will be displayed and you cannot input or perform any calculation. Press key to perform other calculation operations.

• After changing into another mode or regression type (Lin, Log,

Exp, Pwr, Inv, Quad), input data will be cleared.

After finishing data entries, you can recall or calculate the statistical values.

Standard Deviation

Press to ender SD mode.

Before starting, be sure to clear the statistical memory by pressing .

You can recall the following statistical value after input all the data.

Value Symbol Operation

Square of Sum

Summation of x

Number of data sample

Mean of x

Population Standard Deviation of x

Sample Standard Deviation of x

x

2

x n x x n x n-1

Example: To calculate x 2 , x, n, x, x n

, and x n-1

of data: 75, 85,

90, 77, 77 in SD mode.


(select Scl, clear Stat. memory)

Stat clear n =

Display (Lower)

0.

5.

Regression Calculations

x

2

32,808.

x n

404.

5.

x 80.8

x n

5.741080038

x n-1

6.418722614

Press to ender REG mode, then the follow screen

options will be shown:

Lin

1

Log Exp

2 3

Press , or for the corresponding regression

[Lin] = Linear regression

[Log] = Logarithmic regression

[Exp] = Exponential regression

34

If follow with or another regression options will be displayed as follow:

Pwr Inv Quad

1 2 3

You can press , or for the corresponding regression

[Pwr] = Power regression

[Inv] = Inverse regression

[Quad] = Quadratic regression

Before starting, be sure to clear the statistical memory by pressing

.

Input data in the form of x-data y-data . Use for same data multiple entries.

Press can delete the data during the display of data value after or key is pressed.

You can recall and use the following regression results:

Value

Summation of all x 2 value

Summation of all x value

Number of data sample

Summation of all y

2

values

Summation of all y values

Summation of all xy pairs

Mean of the x values

Population Standard Deviation of x

Sample Standard Deviation of x

Mean of the y values

Population Standard Deviation of y

Sample Standard Deviation of y

Regression coefficient


Symbol

x 2 x n x n-1 y y n y n-1

A

B

x n

y

2

y

xy x

Operation

35

If follow with or another regression options will be displayed as follow:

You can press , or for the corresponding regression

[Pwr] = Power regression

[Inv] = Inverse regression

[Quad] = Quadratic regression

Before starting, be sure to clear the statistical memory by pressing

.

Input data in the form of x-data y-data . Use for same data multiple entries.

Press can delete the data during the display of data value after or key is pressed.

You can recall and use the following regression results:

For non-quadratic regression

Correlation coefficient r

Regression estimated value

Regression estimated value x y

For Quadratic regression only

Summation of all x 3 values

Summation of all x

2 y pairs

Summation of all x 4 values


Regression estimated value x

1

Regression estimated value x

2

Regression estimated value y

x 3

x

2 y

x 4

C y

Linear regression

• The Linear regression formula is in relation to two variables:

y = A + Bx

• Example: By the following investment and yield table, calculate the linear regression (regression coefficient A, regression coefficient B) of capital investment verse yield, the correlation coefficient, the yield percentage at 45 thousand unit of investment, and the investment unit at 180% yield.

Investment (thousand unit)

20

30

40

50

60

Yield (%)

120

126

130

136

141

36

Operation

Display

(Upper)

Display (Lower)

Logarithmic, Exponential, Power, and Inverse Regression Formulas

• Loarithmic Regression : y = A + Blnx

• Exponential Regression : y = Ae Bx

• Power Regression

• Invere Regression

: y = Ax B

(lny = lnA + Bx)

(lny = lnA + Blnx)

: y = A+Bx –1

Quadratic Regression

• The quadratic regression is in relation to the formula:

y = A + Bx + Cx

2

• Example: ABC company investigated the effectiveness of the advertisement expenses in coded units, the following data were obtained:

Advertisement expenses: x Effectiveness: y (%)

18

35

40

21

38

54

59

40

19 38

Please calculate the correlation coefficient; use the regression to estimate the effectiveness (estimate the value of y) if the advertisement expenses x = 30, and estimate the advertisement expenses level (estimate the value of x) for the effectiveness y = 50.

37

Operation

Display (Upper)

Display (Lower)

Distribution Calculations

After sample data are entered in either Statistic (SD) or

Regression (REG) mode, you can perform the normal distribution or probability distribution calculation such as P(t), Q(t) and R(t) in which t is the variate of the probabilistic experiment.

Random variable

Mean of sample

Standard deviation

Press will display the following selection screen.

P( Q( R(

1 2

t

3 4

You can press , , or for the corresponding calculations.

38

P(t): Probability below a given point x

P(t)=

1

2

2

e dt ,

Q(t): Probability below a given point x and above the mean

Q ( t ) = 0.5 – R ( t ),

R(t): Probability above a given point x

R ( t ) = 1 – P ( t ),

P(t)

Q(t)

R(t)

Example: Calculate the probability distribution P(t) for the sample data: 20, 43, 26, 46, 20, 43, 26, 19, 23, 20 when x = 26.


Permutation, Combination, Factorials and Random

Number Generation

• Permutation : nPr =

n!

(n-r)

• Combination : nCr =

n!

r!(n-r)

• Factorial : x! = x(x-1)(x-2).....(2)(1)

39

Examples Operation

10

P

3

5

C

2

5!

Display (Lower)

720.

10.

120

Random Number Generation

: To generate a random number between 0.000 and

0.999 ; the result differ each time with the same possibility of occurrence.

: To generate a random number between two specified integers. Results differ each time with the same possibility occurrence within a boundary. The entry is divided with " , ".

Example: To generate a random number between 0.000 and 0.999; and generate an integer from range of 1 to 100


Rand 0.833* i~Rand(1,100 83.*

* The value is only a sample, results will differ each time.

EQUATION CALCULATIONS

Press to enter the equation mode and the following selection options will be displayed:

Unknowns?

2 3

By this screen, you can choose for the simultaneous linear equation solve with either two (2) or three (3) unknowns. Or press or to display another the options for quadratic (2) or cubic (3) equation:

40

Degree?

2 3

After the equation type is selected, [EQN] indicator lights up. The following equation solve guiding page sample will be shown if you specified the equation solve for two (2) or three (3) unknowns simultaneous linear equation:

Coefficient name

Indicates the direction of next step or viewing the other related elements.

a1?

0.

Element Value

(Sample display for simultaneous linear

equation solve)

• For quadratic or cubic equation solve, the coefficient name starts with "a"

• You cannot input complex number as an coefficient

• The calculation starts aftr the last factor ("c2": where the

simultaneous linear equations with two unknows, "d3", where the

simultaneous linear equations with three unknows "c" quadratic

equation and "d" cubic equation) of the specified equation and

then the root of an equation appears.

X =

Variable name

0.

Indicates the direction of next step or viewing the other results.

Result

(Sample display for simultaneous linear equation solve)

• The input display appears by pressing the key, and you can

display or edit the value by pressing the or key. After that,

the last factor is displayed and a calculation is performed again by

pressing to display the root.

• For quadratic or cubic equation, the Variable name starts with "X1".

• Press or key to display the equation solve results.

• If you want to return to the coefficient input screen, simply press

key.

41

Simultaneous Linear Equations

Two Unknowns Simultaneous Linear Equation:

a

a

2

Three Unknowns Simultaneous Linear Equation:

a

a

1

1

a

2 x + b

1 x + b

2 x + b

1 x + b

2 x + b

3 y = c

1 y = c y + c y + c

2 z = d

2 y + c

1

3 z = d z = d

2x + 4y – 4z = 20

2x – 2y + 4z = 8

5x – 2y – 2z = 20

1

3

Operation

Display (Upper)

Display (Lower)

Quadratic or Cubic Equations

Quadratic equation : ax 2 + bx + c = 0 (a second-order polynomial equation in a single variable x)

Cubic equation : ax 3 + bx 2 + cx + d = 0 (an equation with cubic polynomial)

Example: Solve the cubic equation 5x 3 + 2x 2 – 2x + 1 = 0


42

SOLVE FUNCTION

You can solve any calculation expression as per your needs in

COMP mode. Simply input the expression with different variables

and press the key.

Example: A cone of height "h" and base is a circular with radius "r", the volume of the cone will be in the formula:

V = r 2 2 C

So, you can replace the variable "V" by A, variable "r" by "B", and variable "h" by "C".

If the radius is 5cm, cone height is 20cm, calculate the cone volume.

And if the cone volume is 200cm 3 , with radius 2cm, calculate the cone height.

s h r


0.

(radius is B = 5cm)

A=(1 3) B

A?

(height is C = 20cm)

A =

(Calculate with new variables) A ?

(volume is A = 200 cm

3

) B?

(radius is B = 2 cm) C?

C =

B?

C?

C?

A?

2

C 0.

0.

0.

0.

20.

0.

523.5987756

523.5987756

5.

20.

47.74648293

! If the expression does not have the equal sign ( = ) and perform the Solve calculation, the calculator will transform the solution as zero ( 0 ).

! When the expression cannot be solved, [Solve ERROR] will be displayed.

43

CALC FUNCTION

CALC function is deemed to be a memory zone with maximum 79

steps for you to store a single calculation expression which will be recalled and calculated a number of times by different values.

After input the calculation expression and pressed , the calculator will request for the current value of your input variables.

Beware that CALC function can only be used in COMP mode or

CPLX mode.

Example: For the equation Y = 5x 2 x = 5 or x = 7.

–2x +1, calculate the value of Y if


Y = 5x

2

–2x +1

X?

Y = 5x 2 –2x +1

Y = 5x

2

–2x +1

0.

0.

116.

232.

! The stored expression will be cleared as you start a new calculation, change into another mode, or turn off the calculator.

44

DIFFERENTIAL CALCULATIONS

Press to enter COMP mode for differential calculation.

To perform a differential calculation, you have to input the expression in the form of:

differential expression a ∆x

• The differential expression must contain the variable x.

• "a" is the differential coefficient.

• "∆x" is the change interval of x (calculation precision).

Example: To determine the derivative at point x = 10, ∆x = 10 -8 the function f(x) = sin(3x + 30).

, for


! You can leave out the ∆x in the differential expression and the calculator will automatically substitute a value for ∆x.

! The smaller the entered value ∆x is, the longer the calculation time will be and the result is more accurate; the bigger the entered value ∆x is, the shorter the calculation time will be and the result will be comparatively less accurate.

! Discontinuous points and extreme changes in the value of x can cause inaccurate results or errors.

! When performing differential calculation with trigonometric function, select radian (Rad) as the angle unit setting.

! Log a b, i~Rand, Rec( and Pol( functions can’t join to differential calculation.

! During the busy calculation, the calculator will display the message

[PROCESSING]

45

INTEGRATION CALCULATIONS

Press to enter COMP mode for integration calculation.

To perform an integration calculation you are required to input following elements:

integration expression a b n

• The integration expression has variable x.

• "a" and "b" defining the integration range of the definite integral.

• "n" is the number of partitions (equivalent to N = 2 n ).

The integration calculation is based on Simpson’s rule.

As the number of significant digits is increased, internal integration calculations may take considerable time to complete. For some cases, even after considerable time is spent for performing a calculation, the calculation results may be erroneous. Particularly when significant digits are less than 1, an ERROR might be occurred.

Example: Perform the integration calculation for

, with n = 4.


Display (Lower)

! The number of partitions (n) have to specify in the range of 1 to 9 integer, any value that out of the setup division range (N=2 n , n 0, n=1~9 integer), [Arg ERROR] will be displayed.

! You can skip the number of partitions entirely and the calculator will automatically assign an appropriate value on behalf of you.

! The smaller the value of n is, the shorter the calculation time is, but the result is comparatively less accurate; on the other hand, the bigger the n is, the longer the calculation time is, and the result is more accurate.

! When performing integration calculation with trigonometric function, select radian (Rad) as the angle unit setting.

! Log a b, i~Rand, Rec( and Pol( functions can’t join to integration calculation.

! During the busy calculation, the calculator will display the message

[PROCESSING].

46

MATRIX CALCULATIONS

Enter the matrix mode by pressing , and

[MATX] indicator lights up.

Before you start matrix calculations, you have to create one

matrix or maximum three matrices which named A, B, and C at

one time.

The matrix calculation results are stored into MatAns memory

automatically. You can use the matrix MatAns memory for any

subsequent matrix calculations.

Matrix calculation may use up to two levels matrix stack; however,

squaring a matrix, cubing a matrix, or inverting a matrix only use

one stack.

Create a Matrix

1. Press (Dim) to specify the matrix name (A, B or

C), and then specify the dimension (number of rows and number

of columns) of the matrix. The dimension of matrix can be up to

3 x 3.

2. Next, input the value (element) of the matrix according to the

matrix element indictor display, following is a matrix element

indictor example:

Ma t A

23

2 rows and 3 columns

3. Use the cursor keys to move, view or edit the matrix elements.

4. When finished the input, press to exit the matrix creation

screen.

Edit Matrix Elements

1. Press (Edit), then specify the matrix A, B or C for

editing and the corresponding matrix element indicator will be

displayed.

2. Input the new value and press to confirm the edit.

3. When finished the input, press to exit the matrix editing

screen.

47

Matrix Addition, Subtraction and Multiplication

1 2 3 9 8 7

Operation

7 8 9 3 2 1


(press left, right, up or down key to display the result)

48

Obtain the Scalar Product of a Matrix

Each position in the matrix is multiplied by a single value, resulting in a matrix of the same size. Following procedures show you how to obtain the scalar product of a matrix with the fixed multiple:


Obtain the Determinant of a Matrix

Following procedures show you how to obtain the determinant of a square matrix:

10 -5 3

Example: Obtain the determinant of Matrix C =

1 7 -3

Operation

(Dim)

(Matrix C 3x3)

(Input Element)

(DetMatC)

! An error occurs if you obtain the determinant of a non-square matrix.

49

Transpose a Matrix

Following procedures show you how to transpose a matrix:

9 5

8 4

9 6 8

5 2 4

Display (Upper)

Display (Lower) Operation

(Dim)

(Matrix B 3x2)

(Input Element )

(Trn MatB)

(press left, right, up or down key to display the result)

MatB

11

0.

MatB

11

9.

Det Trn 1 2

Trn MatB 0.

MatAns

11

9.

Invert a Matrix

Following procedures show you how to invert a square matrix:

Example: Inverting Matrix C =

8 2

3 6

1

1

14

1

21

4

21

Operation

Display (Upper)

Display (Lower)

(Dim)

(Matrix C 2x2) MatC

11

0.

(Input Element ) MatC

11

8.

MatC -1 0.

(MatC -1 ) MatAns

11

MatAns

12

MatAns

21

MatAns

22

50

Determine the Absolute value of a Matrix

Following procedures show you how to determine the absolute value of a matrix:

Example: To determine the absolute value of the inverted Matrix C in the previous example.

Operation

Display (Upper)

Abs MatAns

Display (Lower)

0.

MatAns

11

1┘7

MatAns

12

1┘21

MatAns

21

1┘14

MatAns

22

4┘21

VECTOR CALCULATIONS

Enter the vector mode by pressing , and

[VCTR] indicator lights up.

Before you start vector calculations, you have to create one or

more vector which named A, B, or C (maximum three vectors at

one time).

The vector calculation results are stored into VctAns memory

automatically. You can use the vector VctAns memory for any

subsequent vector calculations.

Create a Vector

1. Press (Dim) to specify the vector name (A, B or C), and then specify the dimension of the vector.

2. Next, input the value (element) of the vector according to the vector element indictor display, following is a vector element indictor example:

Vector name Dimensions of Vector

Element Value

VctA

1

0.

Direction indicator, you can view other elements at next page.

3. Use the cursor keys to move, view or edit the vector elements.

4. When finished the input, press to exit the vector creation

screen.

Edit Vector Elements

1. Press (Edit), then specify the vector A, B or C for editing and the corresponding vector element indicator will be displayed.

2. Input the new value and press to confirm the edit.

3. When finished the input, press to exit the vector editing screen.

51

Vector Addition and Subtraction

Following procedures show you how to add or subtract vectors:

Example: Vector A = (9,5), Vector B = (7,3), Vector A – Vector B =?


(Create Vector A) VctA(m) m?

(Vector A dimension is 2)

(Input Element)

(Create Vector B)

(Input Element)

Display (Lower)

0.

VctA

1

0.

VctA

1

9.

VctB

1

0.

VctB

1

7.

VctA - VctB 0.

VctAns

1

2.

VctAns

2

2.

! An error occurs if you try to add or subtract vectors whose dimensions are different from each other. For example Vector A

(a,b,c) cannot add or subtract with Vector B (d,e).

Obtain the Scalar Product of a Vector

Each position in the vector is multiplied by a single value, resulting in a vector of the same size.

s x VctA(a,b) = VctB(axs, bxs)

Following procedures show you how to obtain the scalar product of a vector with the fixed multiple.

Example: To Multiply Vector C = (4,5,-6) by 5


Display (Lower)

(Create Vector C) VctC(m) m? 0.

VctC

1

0.

(Input Element) VctC

1

4.

5 x VctC 0.

(5 x VctC) VctAns

1

20.

VctAns

2

25.

VctAns

3

-30.

52

Calculate the Inner Product of Two Vectors

Following procedures show you how to calculate the inner product of two vectors.

Example: Calculate the inner product of Vector A and Vector B. As

Vector A = (4,5,-6) and Vector B = (-7,8,9), and the both vectors are already created in the calculator.

Operation

(Recall

Vector A )


VctA 0.

Dot 1

.

0.

(VctA

.

VctB)

VctA

.

VctB

VctA

.

VctB

0.

-42.

Calculate the Outer Product of Two Vectors

Following procedures show you how to calculate the outer product of two vectors.

Example: Calculate the outer product of Vector A and Vector B. As

Vector A = (4,5,-6) and Vector B = (-7,8,9), and the both vectors are already created in the calculator.

Operation

(Recall

Vector A )

(VctA x VctB)


VctA

VctA x

VctA x VctB 0.

VctAns

1

93.

VctAns

2

6.

VctAns

3

67.

0.

0.

! An error occurs if you try to obtain an inner or outer product of two vectors whose dimensions are different from each other.

53

Determine the Absolute value of a Vector

Following procedures show you how to determine the absolute value

(size) of a vector:

Example: To determine the absolute value of the Vector C. As Vector

C = (4,5,-6) and already created in the calculator.


Abs VctC

Display (Lower)

0.

Abs VctC 8.774964387

Example: Base on Vector A=(–1, –2, 0) and Vector B=(1, 0, –1), determine the size of the angle (angle unit: Deg) and the size 1 vector perpendicular to both A and B.

cos = , whereas = cos

–1

(A • B)

|A||B|

Size 1 vector perpendicular to both A and B=

A x B

|A x B|


(Create Vector A)

VctA

1

0.

(Input Elements)

VctA

1

–1.

(Create Vector B)

VctB

1

0.

(Input Elements)

VctB

1

1.

(VctA

.

VctB) VctA

.

VctB

.

–1.

Ans (Abs Vct –0.316227766

(calculate = cos

-1

)

cos

–1

Ans 108.4349488

(calculate VctA x VctB = (2, -1, 2))

VctAns

1

2.

(calculate | VctA x VctB |)

Abs VctAns 3.

(Calculate =) VctAns

1

VctAns

2

VctAns

3

54

BATTERY REPLACEMENT

Replace the battery immediately when the display characters are dim even a darker LCD contrast OR when the following message appears n the screen. Turn the calculator off and replace the alkaline bttery immediately.

Please replace the alkaline battery with the following procedures,

1. Press to power off the calculator.

2. Remove the screw that securely fixes the battery cover in place.

3. Remove battery cover.

4. Remove the old battery with the tip of a ball pen or similar sharp object.

5. Load the new battery with the positive "+" side facing up.

6. Replace the battery cover, screw, and press

the reset button to initialize the calculator.

Caution:

one. Failure to do so may burst the battery, causing environment contamination or personal injury due to electrolyte leakage.

Insulate the positive and negative poles of the spent battery with a tape, follow your local environment regulations and waste disposal standards, and then dispose the battery.

Battery Cautions

● Keep the battery out of reach of children. If the battery is

swallowed, contact a doctor immediately.

● Misuse of battery may cause leakage, explosion, damages

or personal injury.

● Don’t recharge or disassemble the battery, it could cause a

short circuit.

● Never expose the battery to high temperatures, direct heat,

or dispose by incineration.

55

SPECIFICATIONS

Power Supply : Solar cell and single Alkaline battery

(LR44 x 1)

Power Consumption : D.C. 1.5V / 0.1mW

Battery Life

Auto Power Off

: Approximately 3 years

(Base on 1 hour of operation per day)

: Approx. 7 minutes

Usable Temperature : 0 ~ 40°C

Size : 165 (L) x 80 (W) x 14 (H) mm (body)

168 (L) x 86 (W) x 17.8 (H) mm (with case)

Weight : 89 g (body) / 127 g (with case)

* Specifications are subject to change without notice.

CANON ELECTRONIC BUSINESS MACHINES (H.K.) CO., LTD.

17/F., Tower One, Ever Gain Plaza,

82-100 Container Port Road, Kwai Chung,

New Territories, Hong Kong

CANON MARKETING (MALAYSIA) SDN BHD.

Block D, Peremba Square, Saujana Resort, Section U2,

40150 Shah Alam, Selangor Darul Ehsan, Malaysia

PUB NO. E-IE-483

Made in China / Printed in China

© CANON ELECTRONIC BUSINESS MACHINES (H.K.) CO., LTD. 2016

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