In polar coordinates 110 spheres 123 parametric

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Unformatted text preview: 8 continuity, extending by, 237 contourplot, 140 convert, 36, 279 base, 14 binary, 14 exp, 36, 172 factorial, 172 hex, 14 list, 36, 201, 279 ln, 172 parfrac, 173 polynom, 200, 222 rational, 173 set, 36, 201 sincos, 172 string, 200 trig, 36 converting between data structures, 36 between temperature scales, 36 between types, 36 between units, 36 degrees to radians, 36 expressions, 36 expressions to functions, 49 A expressions to L TEX, 284 floating-point to rational, 36 radians to degrees, 36 rational to partial fractions, 36 series to polynomials, 36, 66, 67, 200, 222 solution set to list, 46 to floating-point, 13 to lists, 47, 279 to lists and sets, 201 to strings, 200 trigonometric to exponential, 36 coordinates cylindrical, 124 polar, 108, 130 spherical, 121 viewing, 104 counting, 40 310 • Index CurveFitting, 82, 118 customer feedback, 2 cutout, 148 cylinderplot, 124 cylindrical coordinates, 124 cylindrical coordinates, animations, 132 D, 236, 242, 255 data points, plotting, 116 data types, 21 decimal forms, 10 decimal numbers, 12–14 declaring arrays one-dimensional, 27 two-dimensional, 28, 29 decomposition, polynomial, 64 defining discontinuous functions, 111 functions, 19 functions, with arrow notation, 52 functions, with unapply, 49, 72 defining arrays one-dimensional, 27 two-dimensional, 28, 29 definite integrals, 69, 234 degree, 62 degree of polynomial, 62, 63 delaying evaluation, 207 denom, 39, 189 denominators, 39, 189 common, 36, 165 isolate, 39 densityplot, 140 DEplot, 260 DEplot3d, 263 derivatives, 17, 68, 215 limit definition of, 216 partial, 224, 237 describe, 99 DESol, 259 determining number of elements (nops), 23, 25 DEtools, 83 dialog, see Maplet,dialog Diff, 68, 89 diff, 196 diffalg, 83 differential equations ordinary, 71, 241 partial, 270 solving, 51 systems of, 76 differentiating expressions in a list, 38 differentiation, 17, 89 difforms, 83 Digits, 13 digits in floating-point calculations, default, 13 in floating-point calculations, setting, 13 in floating-point calculations, setting globally, 13 maximum length of floatingpoint approximations, 12 maximum length of integers, 8 Dirac, 16, 73, 266 Dirac delta function, 16, 73, 266 discontinuous functions defining, 111 plotting, 57, 111 display, 134, 144, 217 displaying animations, 128 ditto operator, 8 divide, 62 division Index • 311 integer quotient, 9 integer remainder, 9 polynomial, 18, 61 dodecahedron, 147 Domains, 83 double quotes, 32 dsolve, 71–77, 241 explicit, 243 implicit, 243 method=laplace, 244 startinit, 254 type=numeric, 252 type=series, 249 e (exponential function), 11 echo, 281 eigenvalues, 97 eigenvectors, 97 empty_list, 26 empty_set, 26 equations left-hand side, 39 right-hand side, 39 solving, 43, 54 solving systems of, 44 error functions, 16 errors floating-point, 14 relative, 12 eval, 45, 46, 62, 71, 72, 197, 202 evalf, 10, 13, 216 evalm, 30 evaln, 206 evaluating arrays, 30, 203 local variables, 206 matrices, 203 procedures, 203 tables, 203 evaluation, 202–213 and quoting, 207 and substitution, 199 assigned, 206 at a point, 45 delayed, 207 evaln, 206 forcing full, 204 full, 202 last-name, 203 levels of, 202 numerical, 10, 13 one-level, 206 to a name, 206 exact arithmetic, 10 exact numbers, analytic description, 12 exact vs. approximate results, 10– 11 exp, 12 Expand, 158 expand, 17, 35, 156 vs. simplify, 35–36 expanded normal form, 37 expanding modulo m, 158 polynomials, 35 explicit functions, plotting, 104 exponential...
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