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Complex Number Calculations

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2-6-1 Complex Number Calculations 2-6 Complex Number Calculations You can perform addition, subtraction, multiplication, division, parentheses calculations, function calculations, and memory calculations with complex numbers just as you do with the manual calculations described on pages 2-1-1 and 2-4-7. You can select the complex number calculation mode by changing the Complex Mode item on the Setup screen to one of the following settings. • {Real} ... Calculation in the real number range only*1 • {a+bi} ... Performs complex number calculation and displays results in rectangular form • {r∠θ} ... Performs complex number calculation and displays results in polar form*2 Press K3(CPLX) to display the complex calculation number menu, which contains the following items. • {i} ... {imaginary unit i input} • {Abs}/{Arg} ... obtains {absolute value}/{argument} • {Conj} ... {obtains conjugate} • {ReP}/{ImP} ... {real}/{imaginary} part extraction • {'r∠θ}/{'a+bi} ... converts the result to {polar}/{rectangular} form *1 When there is an imaginary number in the argument, however, complex number calculation is performed and the result is displayed using rectangular form. Examples: ln 2i = 0.6931471806 + 1.570796327i ln 2i + ln (- 2 ) = (Non-Real ERROR) *2 The display range of θ depends on the angle unit set for the Angle item on the Setup screen. • Deg ... -180 < θ < 180 • Rad Gra ... -200 < θ < 200 # Solutions obtained by the Real, a+bi and r∠θ modes are different for power root (xy) calculations when x < 0 and y = m/n when n is an odd number. Example: 3x (- 8) = - 2 (Real) = 1 + 1.732050808i (a+bi) = 2∠60 (r∠θ) # To input the " ∠ " operator into the polar coordinate expression (r∠θ), press !v. 20050401

Section	Page
BEFORE USING THE CALCULATOR FOR THE FIRST TIME...	3
Quick-Start	5
Quick-Start	6
TURNING POWER ON AND OFF	6
USING MODES	6
BASIC CALCULATIONS	7
REPLAY FEATURE	8
FRACTION CALCULATIONS	9
EXPONENTS	10
GRAPH FUNCTIONS	11
DUAL GRAPH	13
DYNAMIC GRAPH	14
TABLE FUNCTION	16
Precautions when Using this Product	17
Precautions when Connecting to a Computer	17
Handling Precautions	18
Contents	20
Getting Acquainted — Read This First!	24
Chapter 1 Basic Operation	26
1-1 Keys	27
1-2 Display	30
1-3 Inputting and Editing Calculations	35
1-4 Option (OPTN) Menu	51
1-5 Variable Data (VARS) Menu	53
1-6 Program (PRGM) Menu	57
1-7 Using the Setup Screen	58
1-8 Using Screen Capture	63
1-9 When you keep having problems…	64
Chapter 2 Manual Calculations	66
2-1 Basic Calculations	67
2-2 Special Functions	73
2-3 Specifying the Angle Unit and Display Format	81
2-4 Function Calculations	83
2-5 Numerical Calculations	95
2-6 Complex Number Calculations	108
2-7 Binary, Octal, Decimal, and Hexadecimal Calculations with Integers	113
2-8 Matrix Calculations	118
Chapter 3 List Function	140
3-1 Inputting and Editing a List	141
3-2 Manipulating List Data	149
3-3 Arithmetic Calculations Using Lists	157
3-4 Switching Between List Files	162
Chapter 4 Equation Calculations	163
4-1 Simultaneous Linear Equations	164
4-2 Quadratic and Cubic Equations	166
4-3 Solve Calculations	168
4-4 What to Do When an Error Occurs	170
Chapter 5 Graphing	171
5-1 Sample Graphs	172
5-2 Controlling What Appears on a Graph Screen	180
5-3 Drawing a Graph	190
5-4 Storing a Graph in Picture Memory	199
5-5 Drawing Two Graphs on the Same Screen	200
5-6 Manual Graphing	206
5-7 Using Tables	214
5-8 Dynamic Graphing	230
5-9 Graphing a Recursion Formula	238
5-10 Changing the Appearance of a Graph	248
5-11 Function Analysis	256
Chapter 6 Statistical Graphs and Calculations	278
6-1 Before Performing Statistical Calculations	279
6-2 Calculating and Graphing Single-Variable Statistical Data	283
6-3 Calculating and Graphing Paired-Variable Statistical Data	287
6-4 Performing Statistical Calculations	301
6-5 Tests	311
6-6 Confidence Interval	336
6-7 Distribution	347
Chapter 7 Financial Calculation (TVM)	369
7-1 Before Performing Financial Calculations	370
7-2 Simple Interest	372
7-3 Compound Interest	374
7-4 Cash Flow (Investment Appraisal)	378
7-5 Amortization	381
7-6 Interest Rate Conversion	384
7-7 Cost, Selling Price, Margin	385
7-8 Day/Date Calculations	386
Chapter 8 Programming	388
8-1 Basic Programming Steps	389
8-2 PRGM Mode Function Keys	391
8-3 Editing Program Contents	393
8-4 File Management	397
8-5 Command Reference	401
8-6 Using Calculator Functions in Programs	419
8-7 PRGM Mode Command List	431
8-8 Program Library	434
Chapter 9 Spreadsheet	444
9-1 Spreadsheet Overview	445
9-2 File Operations and Re-calculation	449
9-3 Basic Spreadsheet Screen Operations	452
9-4 Inputting and Editing Cell Data	456
9-5 S.SHT Mode Commands	477
9-6 Statistical Graphs	481
9-7 Using the CALC Function	487
9-8 Using Memory in the S.SHT Mode	491
Chapter 10 eActivity	496
10-1 eActivity Overview	497
10-2 Working with eActivity Files	505
10-3 Inputting and Editing eActivity File Data	508
10-4 Using Matrix Editor and List Editor	528
10-5 eActivity File Memory Usage Screen	530
Chapter 11 System Settings Menu	531
11-1 Using the System Settings Menu	532
11-2 System Settings	533
11-3 Version List	535
11-4 Reset	537
Chapter 12 Data Communications	539
12-1 Connecting Two Units	540
12-2 Connecting the Unit to a Personal Computer	541
12-3 Performing a Data Communication Operation	542
12-4 Data Communications Precautions	547
12-5 Image Transfer	550
12-6 Add-ins	553
12-7 MEMORY Mode	554
Appendix	571
1 Error Message Table	572
2 Input Ranges	576
3 Specifications	579
4 Key Index	581
5 P Button (In case of hang up)	584

Match case Limit results 1 per page

20050401

2-6

Complex Number Calculations

You can perform addition, subtraction, multiplication, division, parentheses calculations,

function calculations, and memory calculations with complex numbers just as you do with the

manual calculations described on pages 2-1-1 and 2-4-7.

You can select the complex number calculation mode by changing the Complex Mode item

on the Setup screen to one of the following settings.

• {

Real

} ... Calculation in the real number range only*

• {

} ... Performs complex number calculation and displays results in rectangular

form

• {

∠

} ...

Performs complex number calculation and displays results in polar form*

Press

(CPLX) to display the complex calculation number menu, which contains the

following items.

• {

} ... {imaginary unit

input}

• {

Abs

}

{

Arg

} ... obtains {absolute value}/{argument}

• {

Conj

} ... {obtains conjugate}

• {

ReP

}

{

ImP

} ... {real}/{imaginary} part extraction

• {

∠

}

{

} ... converts the result to {polar}/{rectangular} form

2-6-1

Complex Number Calculations

When there is an imaginary number in the

argument, however, complex number

calculation is performed and the result is

displayed using rectangular form.

Examples:

ln 2

= 0.6931471806 + 1.570796327

ln 2

+ ln (- 2 ) = (Non-Real ERROR)

The display range of

depends on the angle

unit set for the Angle item on the Setup

screen.

• Deg ... –180 <

180

• Rad ... –

• Gra ...

–200 <

200

# Solutions obtained by the Real,

and

∠

modes are different for power root (

) calculations

when

< 0 and

when

is an odd number.

Example:

(- 8) = – 2 (Real)

= 1 + 1.732050808

(

)

= 2

∠

(

∠

)

# To input the “

∠

” operator into the polar coordinate

expression (

∠

), press