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| Maple 8. Learning guide |
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| Предметный указатель |
about 164
Absolute value 9
Accessing package commands 76
Accessing, list items 24
Accessing, range of subexpressions 39
Accessing, subexpressions 39
Accuracy, floating-point 11—12
Adaptive plotting 111
Add 171
Adding, restrictions to solve 47
additionally 164
Advanced Programming Guide 3
algcurves 78
Algebraic substitution 40
algsubs 40 187
animate 121 122
Animate, coords 122
Animate, frames 121
animate3d 123 124
Animate3d, coords 124
Animate3d, frames 123
animations 207
Animations in polar coordinates 122
Animations in spherical coordinates 124
Animations, cylindrical coordinates 124
Animations, displaying 121
Animations, frames of 121 123 128
Animations, parametric 2-D 122
Animations, parametric 3-D 124
Animations, playing 121
Animations, three-dimensional 123
Animations, two-dimensional 121
Annotations 124 129
Antiderivatives 67 88 223 226
Applying, commands to lists (map) 36
Applying, commands to multiple expressions (map) 36
Applying, functions to sets 23
Applying, operations to lists 37
Applying, procedures to lists 46
Applying, simplification rules 31
Approximate vs. exact results 8—10
Approximateint 86—88 223—225 227
Approximations, floating-point 8 11—13
Approximations, series 65
Arbitrary precision integers 7
Arithmetic, basic 5
Arithmetic, exact 8
Arithmetic, finite rings and fields 14
Arithmetic, modulo 14
Array 25 26
Arrays 25—29
Arrays, declaring 1-D 25
Arrays, declaring 2-D 26 27
arrays, definition 25
Arrays, evaluating 28 192
Arrays, mapping onto 36
Arrays, printing 26
Arrays, selecting elements from 1-D arrays 26
Arrays, selecting elements from 2-D arrays 27
Arrays, viewing contents 26
arrow 135
arrow notation 18
ASSIGN 51—52
assigned 196
assigning names 17 51
assignment operator 18
Assignments of sets of equations 51
Assignments, invalid 19
Assignments, multiple 20
Assignments, naming 171
Assignments, valid names 118
assume 69 163—167
Assume, additionally 164
Assume, integer 164
Assume, nonnegative 164
Assuming 1168
assumptions 69
Assumptions on names 58 69
Assumptions, removing 69 167
Assumptions, setting 163—164
Assumptions, viewing 164
Automatic simplification 16
axes 126
axis labels 125
Base n numbers, converting to 13
Basic arithmetic 5
Basis 89
Bessel functions 15
Binary numbers, converting to 13
Binomial function 15
boundary conditions 72
Calculations, exact vs. floating point 6
Calculus 64—70 83 205—231
Calculus1 commands, ApproximateInt 86—88 223—225 227
Calculus1 commands, Hint 84—86
Calculus1 commands, NewtonQuotient 206
Calculus1 commands, Roots 86
Calculus1 commands, Rule 83—86
Calculus1 commands, Tangent 86
Calculus1 commands, Understand 84
capitalization 11
case sensitivity 11
cat 31
Catastrophic cancellation 11
Changing variables 28
Circles, plotting 99 102
Classical dynamics 234
codegen 78
CodeGeneration 78
coeff 62
Coefficients, collecting 60
Coefficients, extracting 62
Coefficients, polynomial 62
COLLECT 60 148
Collect, distributed 150
Collecting coefficients 60
colon 26
Color functions 119
combinat 78
combine 154
Combine, expr 36
Combine, power 36
Combining, powers 36
Combining, products 36
Combining, sums 36
combstruct 78
Comma delimited expressions 1see “Expression sequences”
Commands 1see “Specific command names”
Commands, separating 5
Commands, terminating 5
Common denominator 35 155
complex numbers 13
Complex roots 54
Computations, integer 7—8
Computations, referring to previous 8
Computations, symbolic 16
Concatenation 190 201—203
Concatenation operator 20
Concatenation, expression sequences 20
concatenation, strings 31
Conditions, initial 233 265
Cone 137
Cones, plotting 118
conformal 132
Constants 11
Constants of integration 226
Constants, factoring 40
Constrained scaling, in plots 99
Content, multivariate polynomial 64
context 78
| continuation character 7
Continuity, extending by 228
contourplot 132
CONVERT 34 270
Convert, base 13
Convert, binary 13
Convert, exp 34 162
Convert, factorial 162
Convert, hex 13
Convert, list 34 190 271
Convert, ln 162
Convert, parfrac 162
Convert, polynom 189 212
Convert, rational 162
Convert, set 34 190
Convert, sincos 162
Convert, string 189
Convert, trig 34
Converting between data structures 35
Converting between temperature scales 35
Converting between types 35
Converting between units 35
Converting to floating-point 12
Converting to lists 46 271
Converting to lists and sets 190
converting to strings 189
Converting, degrees to radians 35
Converting, expressions 34
Converting, expressions to functions 49
Converting, expressions to LATEX 276
Converting, floating-point to rational 35
Converting, radians to degrees 35
Converting, rational to partial fractions 35
Converting, series to polynomials 35 66 189 212
Converting, solution set to list 45
Converting, trigonometric to exponential 35
Coordinates, cylindrical 117
Coordinates, polar 101 122
Coordinates, spherical 114
Coordinates, viewing 97
Counting 38
Creating functions with arrow notation 52
Creating functions with unapply 49 71
creating, lists 21
CurveFitting 78 111
Cutout 139
cylinderplot 117
Cylindrical coordinates 117
Cylindrical coordinates, animations 124
D 227 233 247
Data points, plotting 109
Data types 19
Decimal forms 10
decimal numbers 11—13
Declaring arrays, one-dimensional 25
Declaring arrays, two-dimensional 26 27
Decomposition, polynomial 64
Defining arrays, one-dimensional 25
Defining arrays, two-dimensional 26 27
defining functions 18
Defining, discontinuous functions 104
Defining, functions, with arrow notation 52
Defining, functions, with unapply 49 71
Definite integrals 68 225
Degree 62
Degree of polynomial 62
Delaying evaluation 197
denom 38 178
Denominators 38 178
Denominators, common 35 155
Denominators, isolate 38
densityplot 132
DEplot 252
DEplot3d 255
derivatives 16 67 205
Derivatives, limit definition of 206
Derivatives, partial 214 228
describe 92
DESol 251
Determining number of elements (nops) 22 23
DEtools 79
Dialog 1see “Maplets dialog”
diff 67 83
diffalg 79
Differential equations, ordinary 70 232
Differential equations, partial 261
Differential equations, solving 51
Differential equations, systems of 75
Differentiating, expressions in a list 37
Differentiation 16 83
difforms 79
DIGITS 12
Digits in floating-point calculations, default 12
Digits in floating-point calculations, setting 12
Digits in floating-point calculations, setting globally 12
Digits, maximum length of floating point approximations 11
Digits, maximum length of integers 7
Dirac 72 258
Dirac delta function 15 72 258
Discontinuous functions, defining 104
Discontinuous functions, plotting 56 104
Display 127 135 207
Displaying, animations 121
Ditto operator 8
Divide 61
Division, integer quotient 8
Division, integer remainder 9
Division, polynomial 17 61
dodecahedron 135
domains 79
double quotes 30
DSOLVE 70—75 232
dsolve, explicit 234
dsolve, implicit 234
dsolve, method=laplace 235
dsolve, startinit 246
dsolve, type=numeric 244
dsolve, type=series 241
e (exponential function) 11
echo 273
Eigenvalues 90
Eigenvectors 90
empty_list 24
empty_set 24
enfunc 79
eom3d 79
Equations, left-hand side 38
Equations, right-hand side 38
Equations, solving 43 54
Equations, solving systems of 44
Error functions 15
Errors, floating-point 13
Errors, relative 11
eval 45 46 61 70 71 186 192
evalf 9 12 206
evalM 28
evaln 196
Evaluating, arrays 28 192
Evaluating, local variables 195
Evaluating, matrices 192
Evaluating, procedures 192
Evaluating, tables 192
Evaluation 191—203
Evaluation and quoting 197
Evaluation and substitution 188
Evaluation at a point 45
Evaluation to a name 196
Evaluation, assigned 196
Evaluation, delayed 197
Evaluation, evaln 196
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