Expressions expanded normal form 37 factored normal

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Unformatted text preview: function, 11, 16 exporting as Maple text, 293 as Maplet application, 292 as plain text, 295 HTML with MathML, 287 A L TEX, 290 RTF, 296 ExportMatrix, 282 ExportVector, 282 expression sequences, 21 expression trees, 192 expressions accessing subexpressions, 40 312 • Index comma delimited, see expression sequences converting, 36 converting to functions, 49 exact, 6 expanding, 17 extracting subexpressions, 40 factoring, 17 identification of, 190 indeterminates of, 195 multiple assignments, 22 multiple, applying commands to, 38 naming, 18, 51 naming multiple, 22 number of parts, 40 operands of, 190 querying contents, 193 solving, assumptions, 44 substituting, 30 types of, 194 unevaluated, 15, 207 extending by continuity, 237 ExternalCalling, 83 extracting 1-D array elements, 27 2-D array elements, 28 coefficients, 62 list items, 26 range of subexpressions, 40 set items, 46 subexpressions, 40 Factor, 163 factor, 17, 34 vs. solve, 63 factored normal form, 36, 165 factorial integer, 9 factoring, 63, 161–163 constants, 41 expressions, 17 fractions, 34 integers, 9 modulo p, 163 polynomials, 34 feasible, 102 fieldplot, 141 files reading columns from, 278 reading commands from, 280 reading data from, 278 writing columns to, 281 FileTools, 83 finance, 83 finding basis, 95 limits, 65 roots, 43, 54–56, 58 floating-point accuracy, 12–13 floating-point approximations, 12– 14 maximum length, 12 floating-point arithmetic, forcing, 13 floating-point conversions, 13 floating-point errors, 14 floating-point numbers default accuracy of, 13 vs. rational numbers, 10–11 frac, 175 fractional part function, 16 fractions on common denominator, 36 denominator, 39 denominators of, 189 expanded normal form, 37 factored normal form, 36 factoring, 34 numerator, 39 numerators of, 189 on common denominator, 165 Index • 313 partial, 173 fsolve, 54–56, 226 avoid, 54 complex, 54 limitations, 55 maxsols, 54 specifying range, 56 full evaluation, 202 functional operator, 19 functions applying to sets, 25 arguments of, 20 assigning, 19 Bessel, 16 binomial, 16 defining, 19 defining with arrow notation, 52 defining with unapply, 49, 72 Dirac delta, 16 discontinuous, plotting, 57 error, 16 exponential, 11, 16 extending by continuity, 237 fractional part, 16 from expressions, 49 general mathematical, 15–16 Heaviside step, 16 hyperbolic trigonometric, 16 hypergeometric, 16 inverse trigonometric, 16 Legendre’s elliptic integral, 16 logarithmic base 10, 16 Meijer G, 16 natural logarithmic, 16 piecewise-defined, 268 Riemann Zeta, 16 round to the nearest integer, 16 square root, 16 trigonometric, 16 truncate to the integer part, 16 Gaussian integers, 15 GaussInt, 83 generating random numbers, 99 genfunc, 83 geom3d, 83 geometry, 83 Getting Started Guide, 1 graphical interface versions, 3 graphical objects, 144 graphics devices, 298 in separate windows, 298 inline, 298 printing, 298 graphing, 103 three-dimensional, 119 greatest common divisor, 64 of integers, 9 Groebner, 83 group, 83 has, 193 hastype, 194 heat equation, 272 Heaviside, 244, 265 Heaviside step function, 16, 265 help pages, accessing, 5 hemisphere, 147 hexidecimal numbers, converting to, 14 Hint, 90–92 histograms, 100, 142 HP LaserJet, 299 HTML exporting as, 287 hyperbolic trigonometric functions, 16 314 • Index hypergeometric function, 16 imaginary numbers, 14 implicitplot, 138 ImportMatrix, 278 impulse function, 73, 266 indefinite integrals, 68, 234 indeterminates, 195 indets, 195...
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This note was uploaded on 08/27/2012 for the course MATH 1100 taught by Professor Nil during the Spring '12 term at National University of Singapore.

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