Hp 49g Graphing Calculator Manual do Utilizador descarregar pdf (Página 63)

Keys (Continued)

Description

R (MATRICES) FACTORIZATION SVD

Singular Value Decomposition. This

command factors an m x n matrix A

into an m X m orthogonal matrix U, an

n X n orthogonal matrix V, and a vector

S of the singular values of A such that

A = US‘V (where S‘ is the m x n matrix

fomied by using the elements of S as its

diagonal elements).

Page 5-22

Matrices and Linear algebra

1 2 ... 58 59 60 61 62 63 64 65 66 67 68 ... 198 199

ADVANCED 4
USER’S GUIDE 4
Contents 6
Chapter 4: The Stack 4-1 7
Chapter 8: Number bases 8-1 8
Chapter 11: Memory 11-1 10
Index 1-1 11
Material covered 12
The HP 49G documentation set 13
Chapter 1 14
Entering commands 14
Keyboard entry 14
Subject-specific menus 14
Sub-menus 15
(ENTER) 16
Scrolling through the catalog 17
(ALPHA) 18
(ALPHA)© 18
Typing commands 19
Chapter 2 20
System Flags 20
Displaying system Flags 20
Setting and clearing Flags 21
Method 3 22
Flag commands 23
User Flags 23
Chapter 3 24
Command line operations 24
Activating the command line 24
Positioning the cursor 25
Page 3-3 26
Selecting characters 27
Copy, cut, and paste 27
Editing the command Line 28
Inserting characters 29
Editing complex objects 29
Suspending editing 30
Find and replace 31
Find next 32
OK or (ENTER) 33
Command Line operations 34
Page 3-11 34
Command Line information 35
® (0) for BOLD 36
Chapter 4 38
The Stack 38
Using the stack 38
Example stack calculations 39
Method 1 40
Method 2 40
Multi-command calculations 41
Chapter 5 42
Matrices and linear algebra 42
Matrix Writer operations 42
Method 2: the GOTO command 43
To edit an array 43
Page 5-3 44
Manipulating columns and rows 45
To delete a row 46
Key Description 47
To create an identity matrix 48
Assembling matrices 49
0 (PRG) TYPE ^ARRY 50
Disassembling matrices 51
Inserting rows and columns 52
To swap two rows in an array 53
Characterizing matrices 55
Page 5-15 56
To transpose a matrix 57
To invert a square matrix 57
More matrix arithmetic 58
TransForming complex matrices 59
Linear algebra topics 60
0 (iliCES) EIGENVECTOR EGV 61
FACTORIZATION SVL 61
FACTORIZATION LU 62
FACTORIZATION LO 62
FACTORIZATION OR 62
FACTORIZATION 62
FACTORIZATION SVD 63
Chapter 6 64
Unit objects 64
Unit prefixes 66
Converting units 67
Calculating with units 68
Sample unit calculations 69
Powers. To cube 2ft/s 70
Factoring unit expressions 71
Converting temperature units 72
0 iOirS] TOOLS CONVERT 73
Chapter 7 74
Constants Library 74
02 dielectric constant 75
To view the constants library 76
Page 7-4 77
Constants library 77
Chapter 8 78
Number bases 78
To set the wordsize 79
To enter a binary integer 79
Binary integer arithmetic 80
Using Boolean operators 82
Manipulating bits and bytes 83
Chapter 9 84
Lists and Sequences 84
Creating Lists 84
List Processing 85
3. Press (ENTER) 86
(ME) LIST ADD 86
4. Press (ENTER) 86
To concatenate two lists 87
Page 9-5 88
DOSUB command 89
0 ® LIST PROCEDURES STREAM 89
List Manipulations 90
(00 LIST ELEMENTS PUTÌ 90
(00 LIST ELEMENTS SIZE 90
0 (flGlLIST ELEMENTS POS 91
0 (PEG) LIST 91
0 {® LIST SUB 91
0 ® LIST REEL 91
Sequences 92
0 (MDi) LIST Slist 93
0 O LIST PLIST 93
0 (MTH) LIST Dlist 93
Chapter 10 94
Page 10-2 95
Examples 96
To keep the same scaling: 97
PDM((-6,-6), (6,9)) 98
PDM(#105h, #3Fh) 98
Press (N0 CALC 98
Saving and Restoring Plots 99
Advanced plotting options 100
Page 10-7 100
0 O, type VPAR and press 101
Chapter 11 102
How memory is structured 102
Accessing port contents 103
Backup objects 103
Backing up and restoring HOME 104
Using data in backup objects 105
Page 11-5 106
Library objects 107
How the HP 49G manages memory 108
Ins. Mem. Need x bytes 109
Chapter 12 110
Date and time arithmetic 110
Date and time Formats 110
Date and time tools 111
(£ED DATE+ 112
Calculating with times 113
(CAT) HMS^ 114
System time 115
TOOLS TICKS 116
0 TOOLS TICKS 116
STACK SWAP and continue with 116
Chapter 13 118
Customization 118
Creating menus 118
User mode 119
Assigning user keys 120
To unassign a user key 121
Disabling keys in user mode 121
To enable disabled keys 122
Chapter 14 124
Computer Algebra Commands 124
Page 14-2 125
Arithmetic Integer commands 126
Arithmetic Polynomial 126
Arithmetic Modulo commands 126
Calculus commands 127
Exp and Lin commands 127
Matrix-related commands 127
Symbolic solve commands 127
Trigonometry commands 128
Alphabetical command list 129
AC0S2S(ACOS(2/3)+ACOS(X)) 130
ADDTMOD (X-^2 + 3*X+6,9*X+3) 130
X''2-2*X+2 130
I ~x" 131
{{1,0},{0,1}} 132
Page 14-10 133
0{M£) DERIV AND INTEG 134
2 "I T 135
1- 2>’(x) = 136
RKASTH) modulo 137
X + 3x + 2 138
(3&S) LIMITS & SERIES 139
POLYNOMIAL 140
EGCD(X^2+1,X-1) 140
{2,1,-{X+D } 140
EXLR(SIN(X)=5*X+Y) 141
{SIN(X) 5*X+Y] 141
EXPAN((X^2+2*X+1)/(X+1)) 142
EXPANDMOD 143
FACTORMOD 144
0(mTh) polynomial 145
R(ARiTH) POLYNOMIAI 146
FXND((X-3)^2/(Z+4)) 147
{[l,-A-2] [[1,A][0,1]], 148
GCD(2805,99) 148
HADAMARD 149
R(MTH) POLYNOMIAL 150
HERMITE(4) 150
0@£) DERIV & INTEG 150
RQiMTRICES] 151
+ bv = c 152
IBERNOULLI 153
ICHINREM 154
IDIV2(11632,864) 155
{13,400} 155
ILAP{1/(X-5)^2) 156
X*EXP(5*X) 156
. & integ 157
INTVX (X"'2*LN(X) ) 157
INVMOD(2) 157
IREMAINDER 158
ISPRIME? 158
LAGRANGE 159
LAGRANGE {'342 160
LEGENDRE 162
LIMITS&SERIES 163
LINSOLVE 164
LNCOLLECT 165
R (R1ces)operations 166
NEXTPRIME 167
PARTFRAC 168
Q@IH) polynomial 168
PREVPRIME 170
PROPFRAC 171
^(Inr(z)) 172
+ X}’ + V 173
] , [X,Y]} 173
REMAINDER 174
RESULTANT 175
RISCH(Y''3-3*Y+2,Y) 176
LINEAR SYSTEMS 176
systems 176
0{M£) LIMITS & SERIES 177
{X+3,X-3} 179
SINCOS(EXP(i*X)) 180
COS(X)+iSIN(X) 180
SOLVE(X"3-X-9,X) 180
{X=2.24004098747} 180
Result: {X=2.2400} 181
SYLVESTER 182
TABVAL(X^2+l,{1 2 3}) 183
{{1 2 3},{2 5 10} } 183
TCHEBYCHEFF 185
TCOLLECT 185
TEXPAND (LN( SIN (X-FY) ) ) 186
TLIN(COS(X)"4) 186
H (MATRICES) OPERATIONS 187
(LN(X+i)) 187
(sinx) +(cosx) = 1 188
Page 14-66 189
VANDERMONDE 190
XNUM{ {TC/2,3*e, 4*C0S (2} ) 191
1.66458734619} 191
XQ(.3658) 191
1829/5000 191
Page 14-69 192
Page 1-1 194
Page 1-2 195
Page 1-3 196
Page 1-4 197
HEWLETT' 199

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