[ Говорухин, Цибулин ] Компьютер в математическом исследовании (MATLAB, Maple, LaTeX)
.pdfconvexhull, 229 convhull, 413 coordinates, 211, 216 copyinto, 132 corrcoef, 399
cos, 327 cosh, 327 cosint, 465 cost, 240 cot, 327 coth, 327 coulditbe, 80 cov, 399 cplxpair, 331 cputime, 432 create, 224
CreateSpreadsheet, 221 crossprod, 140 CrossProduct, 140 esc, 327
csch, 327 CTAN, 537, 584 cterm, 229 cuboid, 165 cumprod, 330 cumsum, 330 curl, 141
curve, 165 CURVES, 147, 163 cycle, 230 cylinder, 165, 368 cylinderplot, 170
D
D, 89 d, 235
daspect, 503 date, 432 dbclear, 429 dbcont, 429 dblquad, 390 dbquit, 429 dbstack, 429 dbstep, 429 dbstop, 429
dchange, 74, 122 DEBUG, 203 debug, 199 declare, 239 deconv, 384 defform, 235 define, 141
define_external, 243 define_zero, 229 defined, 250 definemore, 142 definite, 137 degree, 75
del2, 392 delaunay, 413 delcols, 132 delete, 230, 356 DeleteColumn, 132 DeleteRow, 132 delrows, 132 denom, 64
denote, 237 densityplot, 160 DEplot, 115, 266 Deplot3d, 271 Deplot3d, 115 derivatives, 237 describe, 226 description, 189 DESol, 110
Det, 134
det, 134, 250, 334, 459 detail, 209, 211 Determinant, 136 determine, 236 DEtools, 112, 116, 206 Detools, 266 dfieldplot, 115
diag, 305, 459 diagonal, 211 diameter, 211 diary, 299 Diff, 88, 235
diff, 88, 392, 457
diff_algebra, 238 diffalg, 206, 237 differentiating, 237 difforms, 207, 235 digits, 455 Dimension, 132 dimensions, 250 discont, 82, 157 discrim, 75
disk, 150 disp, 323
display, 145, 157, 267, 425 display, 229 display_allGR, 224 display3d, 145, 163, 172 displayGR, 224
distance, 211, 216 diverge, 141 divide, 75 dlmread, 420
do, 180 doc, 294
Domains, 207, 238 dotprod, 140 DotProduct, 140 double, 312, 466 Doubleint, 91 draw, 212, 230
dsolve, 104, 107, 108, 272 dual, 229
duplicate, 230
Е
edges, 230
eig, 250, 339, 459 Eigenvals, 136 eigenvals, 136 Eigenvalues, 137 eigenvects, 136 eigs, 343 Einstein, 224 elif, 180
ellipj, 416 ellipke, 416 ellipse, 150, 212
else, 179, 316 elseif, 317 end, 184, 302 end do, 180 end if, 179
end module, 189 endproc, 184 eps, 302
eq, 310 Equation, 216 erf, 416
erfc, 416 erfcx, 416 erfinv, 416
ERROR, 186, 255 error, 323, 441 errortrap, 323 etime, 432
eval, 61, 73, 323 evalc, 62
evalf, 62, 91, 191 evalhf, 62 evalM, 250, 282
evalm, 61, 126, 133 evaln, 185 evalpow, 86
EvaluateCurrentSelection, 223 EvaluateSpreadsheet, 223 example, 37,
exp, 326
expand, 63, 65, 457 expint, 416
expm, 332, 459
export, 189 Export Matrix, 196 exprofile, 202
extrema, 83 eye, 305 ezcontour, 463 ezcontourf, 463 ezmesh, 463 ezmeshc, 463 ezplot, 463 ezplotS, 463 ezpolar, 463
ezsurf, 463 ezsurfc, 463
F
factor, 63, 66, 457 fclose, 420 fdiscont, 82 feasible, 229 feval, 323 ffgausselim, 138 FFT, 94
fft, 250, 400 fft2, 400 fftn, 400 fftshift, 400 fgetl, 420 fgets, 420 fi, 179
fibonacci, 233 fieldplot, 154, 161 fieldplotSd, 170 figure, 346
fill, 366 fill3, 366 filter, 402 filter2, 402 finally, 182 finance, 207 find, 311
Find Angle, 212, 216 findobj, 449 findsym, 454
finite, 311 finverse, 457 fit, 226
fix, 326 floor, 326 fmin, 388 fmins, 388 foci, 212 fopen, 420 for, 180, 317 form, 216 format, 299
fortran, 241, 466
fourier, 465 fouriercos, 94 fouriersin, 94 fplot, 350 fprintf, 420 fread, 420 from, 180 fscanf, 420 fsolve, 99 function, 320 funm, 332
funtool, 463, 465 futurevalue, 208 fwrite, 420 fzero, 387
G
G, 220 gallery, 305 gamma, 416 gammainc, 416 gammaln, 416
Gausslnt, 207, 225 gaussjord, 138 gbasis, 234
gcd, 75, 326 ge=, 310
GegenbauerC, 220 genfunc, 207 genmatrix, 140 geomSd, 207, 214 geometry, 207, 210 get, 349
getframe, 370 getvar, 250 GF, 207, 238 gif, 197 GInearest, 226 ginput, 446 Glprime, 226
global, 185, 189, 320 grad, 141
gradient, 392 gradplot, 154, 161 gradplotSd, 170
GramSchmidt, 140 GRAPH, 230 GRID, 164
grid, 351 griddata, 394 grobner, 234 Groebner, 207 group, 207, 233 gt, 310
gtext, 351 guide, 447
H
H, 220 hamilton_eqs, 266 has, 58
hastype, 58 help, 37, 291 hemisphere, 165 hermite, 138
HermiteForm, 138 HermiteH, 220 HermitianTranspose, 136 hess, 337
hilb, 305 hilbert, 129 hist, 366 histogram, 228 hold, 351 horner, 457 hornerform, 87 hqr2, 339 HTML, 27 htranspose, 134 Hyperbola, 212
I
i, 302 identity, 99 if, 179, 316 iFFT, 94 ifft, 400 ifft2, 400 ifftn, 400 ifourier, 465 ilaplace, 465
Im, 63 image, 372 imfinfo, 372
implicitplot, 154, 159 implicitplotSd, 170 importdata, 226 ImportMatrix, 196, 249 imread, 372
imshow, 477 imwrite, 372 incircle, 212 ind2gray, 477 indets, 70, 99 inequal, 161 inf, 302 inferiorto, 426 infnorm, 87, 88
infolevel, 106, 188 inline, 325 inpolygon, 413 input, 441 inputname, 322 Int, 90, 91
int, 90, 457 int2str, 313 integrand, 92 inter, 216 intercept, 83 interface, 197, 199 interpl, 394 interp2, 394 interpS, 394 Interpft, 394 interpn, 394 intersection, 212
IntersectionBasis, 140 intparts, 92
inttrans, 93, 207 inv, 250, 335, 459 inverse, 134 inversion, 212 invfourier, 94 invlaplace, 94
is, 80
isa, 426 iscont, 82 IsDefinite, 137
isempty, 311, 312 isequal, 311, 312 IsEquilateral, 211 isglobal, 311 ishold, 351
isinf, 311 isletter, 311 isnan, 311
isnumeric, 311, 312 isobject, 426 isolate, 69
isolve, 101 IsOnCircle, 211 IsOnLine, 211 IsOnObject, 216 IsOrthogonal, 137 isosurface, 501 isprime, 225, 312 IsRightTriangle, 211 IsSimilar, 137 issparse, 311, 343 isstr, 311 IsTangent, 216 IsUnitary, 137 iztrans, 465
J
j, 302 Jacobian, 224
jacobian, 141, 269, 457 JacobiP, 220
jet, 477
Jordan, 138, 340, 459 JordanForm, 138
K
kernel, 138 kernelopts, 201, 277 keyboard, 441 Killing_eqns, 224
L
L, 220 LaguerreL, 220
lambertw, 465 laplace, 94, 465 laplacian, 141 lasterr, 318 lasterror, 200, 323 LaTeX, 27, 243 latex, 243, 466 laurent, 85
lcm, 326 lcoeff, 75 ldegree, 75 le, 310 leastsqrs, 139
leastsquare, 219 LeastSquares, 139 legend, 351 legendre, 416 Levi_Civita, 224 lhs, 69, 70, 278 libname, 193 Lie, 235 Lie_diff, 224
liesymm, 207, 235 light, 364
Limit, 81, 82 limit, 81, 457 linalg, 126, 207 line, 150, 212
Linear Algebra, 126, 207 linearcorrelation, 229 LinearSolve, 139 Lineint, 92
linsolve, 139 linspace, 304 listcontplot, 160 listcontplotSd, 167 listdensityplot, 160 listplot, 159
load, 299, 419 local, 185, 189 log, 326 log10, 326 log2, 416 loglog, 350
loglogplot, 158, 209 logm, 332
logplot, 158 logspace, 304 lookfor, 293 lprint, 195 LREtools, 103, 207 lt, 310
lu, 250, 337 LUDecomposition, 139 luinc, 337
M
m-файлы, 319 macro, 73, 191 magic, 305 makeglobal, 239 makehelp, 193 makeparam, 239 makeproc, 239 makevoid, 240 maple, 466
Maple Explorer, 27 Maple Plain, 27 Maple Text, 27 maple.lib, 193 march, 193 mat2gray, 477 mat2str, 313 MATLAB, 248 Matlab, 207, 249, 282 Matrix, 129
matrix, 128 Matrix Add, 135 matrixplot, 171 max, 330 maximize, 84, 229 mean, 227, 330 median, 212, 330 mellin, 94
menu, 441 MESH, 164 mesh, 359 meshc, 359 meshgrid, 359
meshz, 359 methods, 426 mex-файлы, 435 mfun, 466 mfunlist, 466 mhelp, 454, 466 middlebox, 92 middlesum, 93 midpoint, 212, 216 min, 330
MinimalPolynomial, 138 minimax, 87, 88 minimize, 84, 229 Minor, 133
minor, 133 minpoly, 77 missing, 227 mixpar, 236 mkpp, 396 mod, 326 module, 189
monodromy, 238 movie, 370 moviein, 370 msolve, 101 mtaylor, 85 mulcol, 133 mulrow, 133 Multiply, 135 multiply, 133
N
NaN, 301 nargchk, 322 nargin, 322 nargout, 322 nargs, 187 ndgrid, 359, 362 ne, 310
networks, 207, 230 new, 230
next, 182 next, 203 nextprime, 225 nnz, 343
nonzeros, 311, 343 nops, 57
Norm, 140 norm, 140, 334 normal, 64, 67 Normalize, 140 normalize, 140 normest, 334 not, 310 npcurve, 223 npspin, 223 null, 335, 459 NullSpace, 138 num2str, 313
numapprox, 87, 207 numbcomb, 233 numbperm, 233 numden, 457 numer, 64 numeric, 301
NumericEventHandler, 200 numtheory, 207, 225
O
od, 180 ode23, 403
ode45, 250, 282, 403 odead visor, 113 odeplot, 109, 171, 405 odeset, 403
odetest, 106 ones, 305 op, 57, 198 Open, 101 open, 195 openlink, 250 optimize, 240 optimset, 387 option, 189 options, 186 or, 310 Order, 85
Ore_algebra, 207, 237 orient, 381
ortan, 339
orth, 335 orthes, 339 orthog, 137
orthopoly, 78, 207, 220 otherwise, 317
P
P, 220 pade, 87
padic, 207, 225 parabola, 212 parallel, 216 ParallelLine, 212 parametrization, 238 partial_diff, 224 pascal, 337
pause, 441 pcode, 324 PDE, 472
adaptmesh, 472 dst, 472 hyperbolic, 472 idst, 472 initmesh, 472 parabolic, 472 pdecirc, 472 pdecont, 472 pdeeig, 472 pdeellip, 472 pdegplot, 472 pdemesh, 472 pdenonlin, 472 pdeplot, 473 pdepoly, 472 pderect, 472 pdesurf, 472 pdetool, 472 poicalc, 473 poimesh, 472 poisolv, 472 refinemesh, 472 sptarn, 473 tri2grid, 473 wbound, 472 wgeom, 472
pdepe, 410 PDEplot, 122, 124 PDEtools, 122, 207 pdsolve, 120 • permute, 233 PerpenBisector, 212
Perpendicular Line, 212 persistent, 321 petersen, 230 phaseportrait, 115
pi, 302 pie, 366 pie3, 366
piecewise, 218, 257 pieslice, 150
pinv, 335 pivot, 229 pivoteqn, 229 pivotvar, 229 PLOT, 147, 272
plot, 147, 153, 155, 347 plot3, 358
PLOT3D, 163 plotSd, 167, 269 plots, 145, 207 plotsetup, 146, 197
plottools, 145, 149, 165, 207 Poincare, 112
point, 150, 212, 214 pointplot, 159, 171 POINTS, 147, 163 poisson, 85
polar, 63, 366 polarplot, 156, 158 poly, 339, 384, 459 poly_algebra, 237 poly2sym, 466 poly area, 413 polyder, 384 polyeig, 339 polyfit, 394 polygon, 150 polygonplot, 159 polygonplotSd, 171
POLYGONS, 147, 163, 272 polyhedraplot, 171 polytools, 77, 207
polyval, 384 polyvalm, 384 PostScript, 547, 563 pow2, 416 powseries, 85, 207 powsolve, 86 ppval, 396 prep2trans, 240 presentvalue, 208 pretty, 462
print, 61, 195, 200, 380 printf, 195
printlevel, 199 printout, 380 private, 324 proc, 184 process, 207 procread, 466 prod, 224, 330 Product, 82 product, 82 profile, 202, 433 project, 149, 165
projection, 212, 216 proot, 75
prtsc, 380 ps, 197 psqrt, 75
Q
qr, 250, 337 QRDecomposition, 139 quad, 390
quadS, 390 quit, 278 quit, 203 quiver, 366 quo, 75 qzhes, 339 qzit, 339 qzval, 339 qzvec, 339
R
radius, 212, 216 rand, 305 randmatrix, 129 random, 226, 230 randpoint, 212 randpoly, 75
rank, 134, 334, 459 Rank, 136
ratio, 229 rcond, 334 Re, 63
read, 192, 194 readdata, 196 readline, 194 real, 326 realmax, 302 realmin, 302 RealRange, 101 realroot, 75 rectangle, 150 reducepatch, 507
reflect, 149, 165, 212 reflection, 216 related, 37
rem, 75, 326 remember table, 199 remez, 87
replot, 158 reshape, 306 residue, 84, 384 restart, 260 RETURN, 186 return, 182 rgb2ind, 477 rhs, 69, 70, 278 Ricci, 224 Ricciscalar, 224 Riemann, 224 RiemannF, 224 rightbox, 93 rootlocus, 161 RootOf, 97 roots, 384
rose, 366 rotate, 149, 165 rotation, 212 round, 326 Row, 133
row, 133 rowdim, 132
RowDimension, 132 RowSpace, 139 rowspace, 139
rref, 337, 459 rsolve, 102 rsums, 465 RTF, 27
S save, 192, 194, 277, 419 savelib, 193 savelibname, 193
scale, 149, 165 scatterplot, 228 schur, 339 sec, 327
sech, 327 select, 237 semilogplot, 158 semilogx, 350 semilogy, 350 series, 84 session, 25
set, 356 SetCellFormula, 223 SetMatrix, 223 setoptions, 151 setoptionsSd, 168, 172 SetSelection, 223 setup, 235
setup, 229 setvar, 250, 282 shading, 360 shiftdim, 315 showprofile, 202 showstat, 203 showstop, 203 showtangent, 83
showtime, 201 sides, 212, 216 sign, 326 simp, 223 simple, 456
simplex, 207, 229 simplify, 63, 70, 456 SIMULINK, 466 sim, 472
simget, 472 simset, 472 sldebug, 472 sin, 327 singular, 83 sinh, 327 sinint, 465 size, 250, 306 Slode, 108 slode, 207 solve, 96, 461 sont, 203 sort, 76, 331 sortrows, 331
spacecurve, 171, 273 sparse, 343 sparsematrixplot, 162 spconvert, 343 spdiags, 343
speye, 343 spfun, 343 sph2cart, 369 sphere, 165, 368 sphereplot, 172 spline, 218, 394 sprandn, 343 sprandnsym, 343 sprank, 343 Spread, 207, 221 sqrt, 326
sqrtm, 332 square, 212, 250 squeeze, 315 stack, 132 stairs, 366
standardize, 229 statevalf, 226 statplots, 226, 228 stats, 208, 219, 226 statsort, 229
std, 399 stem, 366 stem3, 366 step, 203 stopat, 203
stopwhen, 203 str2mat, 313 str2num, 313 strcat, 312, 313 strcmp, 311 streamline, 501
streamribbon, 502, 505 streamtube, 502, 504 struct, 301, 315 student, 82, 91, 208 subexpr, 457 subfunction, 324 SubMatrix, 133 submatrix, 133 subplot, 350
subs, 63, 72, 74, 456 subsop, 57 SubVector, 133
sub vector, 133 Sum, 81, 82 sum, 81, 330 SumBasis, 140 sumtools, 208 superiorto, 426 surf, 359, 503 surfc, 359 surfdata, 172, 273 surfl, 359
svd, 339, 459 svds, 343 swapcol, 133 swaprow, 133 switch, 317 Sylvester, 140