HP 48gII User Manual download pdf (Page 154)

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Page 14-8

Thus, c

= 1/3, c

= (π⋅i+2)/π

, c

= (π⋅i+1)/(2π

The Fourier series with three elements will be written as

g(t) ≈ Re[(1/3) + (π⋅i+2)/π

⋅exp(i⋅π⋅t)+ (π⋅i+1)/(2π

)⋅exp(2⋅i⋅π⋅t)].

Reference

For additional definitions, applications, and exercises on solving differential

equations, using Laplace transform, and Fourier series and transforms, as well

as numerical and graphical methods, see Chapter 16 in the calculator’s user’s

guide.

1 2 ... 149 150 151 152 153 154 155 156 157 158 159 ... 174 175

Preface 3
Table of Contents 4
Page TOC-2 5
Page TOC-3 6
Page TOC-4 7
Chapter 8 – Vectors 8
Chapter 10 – Graphics 9
Page TOC-7 10
Warranty – W-1 11
Chapter 1 12
Getting started 12
Page 1-2 13
The TOOL menu 14
Setting time and date 15
Page 1-5 16
Selecting calculator modes 17
Page 1-7 18
Page 1-8 19
Page 1-9 20
Page 1-10 21
Page 1-11 22
Page 1-12 23
Page 1-13 24
Angle Measure 25
Coordinate System 26
Selecting CAS settings 27
Selecting Display modes 28
Selecting the display font 29
Page 1-19 30
Page 1-20 31
Page 1-22 33
Chapter 2 34
Introducing the calculator 34
Page 2-2 35
Page 2-3 36
Page 2-5 38
Page 2-6 39
The HOME directory 42
Subdirectories 42
Variables 43
Creating variables 44
Page 2-12 45
RPN mode 46
Checking variables contents 47
Page 2-15 48
Deleting variables 49
UNDO and CMD functions 50
CHOOSE boxes vs. Soft MENU 50
Page 2-18 51
Page 2-19 52
Chapter 3 54
Page 3-2 55
Page 3-3 56
Page 3-4 57
Page 3-5 58
Page 3-6 59
Page 3-7 60
Operations with units 61
Page 3-9 62
Available units 63
Attaching units to numbers 64
Page 3-13 66
Unit conversions 67
Page 3-15 68
Defining and using functions 69
Page 3-17 70
Chapter 4 72
Entering complex numbers 73
Page 4-3 74
The CMPLX menus 75
CMPLX menu in the keyboard 76
Page 4-6 77
Chapter 5 79
Page 5-2 80
Page 5-3 81
Functions in the ALG menu 82
Page 5-5 83
Page 5-6 84
Page 5-7 85
Polynomials 86
Page 5-9 87
Fractions 88
The PROPFRAC function 89
The PARTFRAC function 89
The FCOEF function 89
The FROOTS function 90
Chapter 6 92
Solution to equations 92
Function SOLVE 93
Page 6-3 94
Function SOLVEVX 95
Function ZEROS 95
Numerical solver menu 96
Polynomial Equations 97
Page 6-7 98
Page 6-8 99
(X-1)*(X-3)*(X+2)*(X-1) 100
1. Solve equation.. solve 100
Page 6-10 101
Page 6-11 102
Reference 103
Chapter 7 104
Operations with lists 104
Page 7-2 105
Functions applied to lists 106
Lists of complex numbers 107
Lists of algebraic objects 107
The MTH/LIST menu 107
Page 7-5 108
The SEQ function 109
The MAP function 109
Chapter 8 110
Page 8-2 111
Page 8-4 113
@→STK@@ 113
Changing sign 114
Absolute value function 115
The MTH/VECTOR menu 116
Chapter 9 118
Textbook 119
Operations with matrices 120
Multiplication 121
.,,2,1;,,2,1 122
Page 9-6 123
Solution of linear systems 124
Page 9-8 125
References 127
Function 128
Page 10-2 129
Page 10-3 130
Page 10-4 131
FUNCTION, press the 131
Fast 3D plots 132
Page 10-6 133
Step Indep: 20 Depnd: 16 134
Chapter 11 136
Calculus Applications 136
)(lim xf 137
CxFdxxf += 138
Definite integrals 139
Infinite series 140
Chapter 12 143
Multiple integrals 144
[] [] [] [] 145
Divergence 146
Chapter 14 147
Differential Equations 147
Function LDEC 148
.)3/exp()3/exp(5)( 149
Cdxxxxy +⋅⋅−⋅= 149
1st order linear 150
Exact expressions, ‘y(0) 150
Laplace Transforms 151
Fourier series 152
Page 14-7 153
Chapter 15 155
Probability Distributions 155
Random numbers 156
The MTH/PROB menu - part 2 157
Chapter 16 159
Statistical Applications 159
Type: Population 160
SINGLE-VARIABLE STATISTICS 160
Page 16-4 162
2. Frequencies.. by using 162
3. Fit data 162
Page 16-5 163
Confidence intervals 165
Page 16-8 166
Hypothesis testing 167
Page 16-10 168
Chapter 17 170
Numbers in Different Bases 170
Warranty 172
Service 173
Page W-3 174
Regulatory information 175

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HP 48gII User Manual Page 154

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