archive/info/maxima.texi-prev

   1 \input texinfo
   2 @c -*-texinfo-*-
   3 @c %**start of header
   4 @setfilename  maxima.info
   5 @synindex vr fn
   6 @settitle Maxima Manual
   7 @c %**end of header
   8 @setchapternewpage odd
   9 @ifinfo
  10 This is a Texinfo Maxima Manual
  11
  12 Copyright 1994 William F. Schelter
  13 @end ifinfo
  14
  15 @titlepage
  16 @sp 10
  17 @comment The title is printed in a large font.
  18 @center @titlefont{Maxima Manual}
  19 @end titlepage
  20
  21
  22 @node Top, Lists, (dir), (dir)
  23
  24 @menu
  25 * Lists::
  26 * Differentiation::
  27 * Integration::
  28 * Polynomials::
  29 * Simplification::
  30 * Expressions::
  31 * Function Definition::
  32 * Input and Output::
  33 * Program Flow::
  34 * Plotting::
  35 * Floating Point::
  36 * Numerical::
  37 * Trigonometric::
  38 * Equations::
  39 * Arrays and Tables::
  40 * Series::
  41 * Symmetries::
  42 * Groups::
  43 * Operators::
  44 * Constants::
  45 * Special Functions::
  46 * Command Line::
  47 * Contexts::
  48 * Matrices and Linear Algebra::
  49 * Runtime Environment::
  50 * Miscellaneous Options::
  51 * Rules and Patterns::
  52 * Number Theory::
  53 * Help::
  54 * Differential Equations::
  55 * Statistics::
  56 * Limits::
  57 * Logarithms::
  58 * Debugging::
  59 * Affine::
  60 * Tensor::
  61 * Ctensor::
  62 * None::
  63
  64  --- The Detailed Node Listing ---
  65
  66 Lists
  67
  68 * Definitions for Lists::
  69
  70 Definitions for Lists
  71
  72 * APPEND::
  73 * ATOM::
  74 * CONS::
  75 * COPYLIST::
  76 * DELETE::
  77 * ENDCONS::
  78 * FIRST::
  79 * GET::
  80 * LAST::
  81 * LENGTH::
  82 * LISTARITH::
  83 * LISTP::
  84 * MAKELIST::
  85 * MEMBER::
  86 * REST::
  87 * REVERSE::
  88
  89 Differentiation
  90
  91 * Definitions for Differentiation::
  92
  93 Definitions for Differentiation
  94
  95 * ANTID::
  96 * ANTIDIFF::
  97 * property::
  98 * ATVALUE::
  99 * CARTAN::
 100 * DELTA::
 101 * DEPENDENCIES::
 102 * DEPENDS::
 103 * DERIVABBREV::
 104 * DERIVDEGREE::
 105 * DERIVLIST::
 106 * DERIVSUBST::
 107 * {special symbol}::
 108 * DIFF::
 109 * DSCALAR::
 110 * EXPRESS::
 111 * GENDIFF::
 112 * GRADEF::
 113 * GRADEFS::
 114 * LAPLACE::
 115 * UNDIFF::
 116
 117 Integration
 118
 119 * Introduction to Integration::
 120 * INTEGRALS::
 121 * Definitions for Integration::
 122
 123 Introduction to Integration
 124
 125 * INTEGRALS::
 126 * CHANGEVAR::
 127 * DBLINT::
 128 * DEFINT::
 129 * ERF::
 130 * ERFFLAG::
 131 * ERRINTSCE::
 132 * ILT::
 133 * INTEGRATE::
 134 * INTEGRATION_CONSTANT_COUNTER::
 135 * INTSCE::
 136 * LDEFINT::
 137 * POTENTIAL::
 138 * QQ::
 139 * QUANC8::
 140 * RESIDUE::
 141 * RISCH::
 142 * ROMBERG::
 143 * ROMBERGABS::
 144 * ROMBERGIT::
 145 * ROMBERGMIN::
 146 * ROMBERGTOL::
 147 * TLDEFINT::
 148
 149 Polynomials
 150
 151 * Introduction to Polynomials::
 152 * CRE::
 153 * Definitions for Polynomials::
 154
 155 Introduction to Polynomials
 156
 157 * CRE::
 158 * ALGEBRAIC::
 159 * BERLEFACT::
 160 * BEZOUT::
 161 * BOTHCOEF::
 162 * COEFF::
 163 * COMBINE::
 164 * CONTENT::
 165 * DENOM::
 166 * DIVIDE::
 167 * ELIMINATE::
 168 * EZGCD::
 169 * FACEXPAND::
 170 * FACTCOMB::
 171 * FACTOR::
 172 * FACTORFLAG::
 173 * FACTOROUT::
 174 * FACTORSUM::
 175 * FASTTIMES::
 176 * FULLRATSIMP::
 177 * FULLRATSUBST::
 178 * GCD::
 179 * GCFACTOR::
 180 * GFACTOR::
 181 * GFACTORSUM::
 182 * HIPOW::
 183 * INTFACLIM::
 184 * KEEPFLOAT::
 185 * LRATSUBST::
 186 * MODULUS::
 187 * NEWFAC::
 188 * NUM::
 189 * QUOTIENT::
 190 * RAT::
 191 * RATALGDENOM::
 192 * RATCOEF::
 193 * RATDENOM::
 194 * RATDENOMDIVIDE::
 195 * RATDIFF::
 196 * RATDISREP::
 197 * RATEPSILON::
 198 * RATEXPAND::
 199 * RATFAC::
 200 * RATNUMER::
 201 * RATNUMP::
 202 * RATP::
 203 * RATPRINT::
 204 * RATSIMP::
 205 * RATSIMPEXPONS::
 206 * RATSUBST::
 207 * RATVARS::
 208 * RATWEIGHT::
 209 * RATWEIGHTS::
 210 * RATWEYL::
 211 * RATWTLVL::
 212 * REMAINDER::
 213 * RESULTANT::
 214 * SAVEFACTORS::
 215 * SQFR::
 216 * TELLRAT::
 217 * TOTALDISREP::
 218 * UNTELLRAT::
 219
 220 Simplification
 221
 222 * Definitions for Simplification::
 223
 224 Definitions for Simplification
 225
 226 * APPLY_NOUNS::
 227 * ASKEXP::
 228 * ASKINTEGER::
 229 * ASKSIGN::
 230 * DEMOIVRE::
 231 * DOMAIN::
 232 * EXPAND::
 233 * EXPANDWRT::
 234 * EXPANDWRT_DENOM::
 235 * EXPANDWRT_FACTORED::
 236 * EXPON::
 237 * EXPONENTIALIZE::
 238 * EXPOP::
 239 * FACTLIM::
 240 * INTOSUM::
 241 * declaration::
 242 * declaration::
 243 * declaration::
 244 * MAXAPPLYDEPTH::
 245 * MAXAPPLYHEIGHT::
 246 * MAXNEGEX::
 247 * MAXPOSEX::
 248 * declaration::
 249 * NEGDISTRIB::
 250 * NEGSUMDISPFLAG::
 251 * {special symbol}::
 252 * declaration::
 253 * NOUNDISP::
 254 * {special symbol}::
 255 * {special symbol}::
 256 * NUMERVAL::
 257 * OPPROPERTIES::
 258 * OPSUBST::
 259 * declaration::
 260 * declaration::
 261 * PRODHACK::
 262 * RADCAN::
 263 * RADEXPAND::
 264 * RADPRODEXPAND::
 265 * RADSUBSTFLAG::
 266 * declaration::
 267 * SCSIMP::
 268 * SIMP::
 269 * SIMPSUM::
 270 * SUMCONTRACT::
 271 * SUMEXPAND::
 272 * SUMHACK::
 273 * SUMSPLITFACT::
 274 * declaration::
 275 * UNKNOWN::
 276
 277 Expressions
 278
 279 * Introduction to Expressions::
 280 * ASSIGNMENT::
 281 * COMPLEX::
 282 * INEQUALITY::
 283 * SYNTAX::
 284 * Definitions for Expressions::
 285
 286 Introduction to Expressions
 287
 288 * ASSIGNMENT::
 289 * COMPLEX::
 290 * INEQUALITY::
 291 * SYNTAX::
 292 * AT::
 293 * BOX::
 294 * BOXCHAR::
 295 * {special operator}::
 296 * CONSTANTP::
 297 * CONTRACT::
 298 * DECLARE::
 299 * DISOLATE::
 300 * DISPFORM::
 301 * DISTRIB::
 302 * DPART::
 303 * EXP::
 304 * EXPTISOLATE::
 305 * EXPTSUBST::
 306 * FREEOF::
 307 * GENFACT::
 308 * IMAGPART::
 309 * INDICES::
 310 * INFIX::
 311 * INFLAG::
 312 * INPART::
 313 * ISOLATE::
 314 * ISOLATE_WRT_TIMES::
 315 * LISTCONSTVARS::
 316 * LISTDUMMYVARS::
 317 * LISTOFVARS::
 318 * LOPOW::
 319 * LPART::
 320 * MULTTHRU::
 321 * NOUNIFY::
 322 * NTERMS::
 323 * OPTIMIZE::
 324 * OPTIMPREFIX::
 325 * ORDERGREAT::
 326 * ORDERGREATP::
 327 * ORDERLESS::
 328 * ORDERLESSP::
 329 * PART::
 330 * PARTITION::
 331 * PARTSWITCH::
 332 * PICKAPART::
 333 * PIECE::
 334 * POWERS::
 335 * PRODUCT::
 336 * REALPART::
 337 * RECTFORM::
 338 * REMBOX::
 339 * SUM::
 340 * {special symbol}::
 341 * VERBIFY::
 342
 343 Function Definition
 344
 345 * Introduction to Function Definition::
 346 * FUNCTION::
 347 * MACROS::
 348 * OPTIMIZATION::
 349 * Definitions for Function Definition::
 350
 351 Introduction to Function Definition
 352
 353 * FUNCTION::
 354 * MACROS::
 355 * OPTIMIZATION::
 356 * APPLY::
 357 * BINDTEST::
 358 * BLOCK::
 359 * BREAK::
 360 * BUILDQ::
 361 * CATCH::
 362 * COMPFILE::
 363 * COMPGRIND::
 364 * COMPILE::
 365 * COMPILE_LISP_FILE::
 366 * DEFINE::
 367 * DEFINE_VARIABLE::
 368 * DISPFUN::
 369 * FUNCTIONS::
 370 * FUNDEF::
 371 * FUNMAKE::
 372 * LOCAL::
 373 * MACROEXPANSION::
 374 * MODE_CHECKP::
 375 * MODE_CHECK_ERRORP::
 376 * MODE_CHECK_WARNP::
 377 * MODE_DECLARE::
 378 * MODE_IDENTITY::
 379 * TRANSBIND::
 380 * TRANSCOMPILE::
 381 * TRANSLATE::
 382 * TRANSLATE_FILE::
 383 * TRANSRUN::
 384 * TR_ARRAY_AS_REF::
 385 * TR_BOUND_FUNCTION_APPLYP::
 386 * TR_FILE_TTY_MESSAGESP::
 387 * TR_FLOAT_CAN_BRANCH_COMPLEX::
 388 * TR_FUNCTION_CALL_DEFAULT::
 389 * TR_GEN_TAGS::
 390 * TR_NUMER::
 391 * TR_OPTIMIZE_MAX_LOOP::
 392 * TR_OUTPUT_FILE_DEFAULT::
 393 * TR_PREDICATE_BRAIN_DAMAGE::
 394 * TR_SEMICOMPILE::
 395 * TR_STATE_VARS::
 396 * TR_TRUE_NAME_OF_FILE_BEING_TRANSLATED::
 397 * TR_VERSION::
 398 * TR_WARNINGS_GET::
 399 * TR_WARN_BAD_FUNCTION_CALLS::
 400 * TR_WARN_FEXPR::
 401 * TR_WARN_MEVAL::
 402 * TR_WARN_MODE::
 403 * TR_WARN_UNDECLARED::
 404 * TR_WARN_UNDEFINED_VARIABLE::
 405 * TR_WINDY::
 406 * UNDECLAREDWARN::
 407 * COMPILE_FILE::
 408 * DECLARE_TRANSLATED::
 409
 410 Input and Output
 411
 412 * Introduction to Input and Output::
 413 * FILES::
 414 * PLAYBACK::
 415 * Definitions for Input and Output::
 416
 417 Introduction to Input and Output
 418
 419 * FILES::
 420 * PLAYBACK::
 421 * %::
 422 * %%::
 423 * %EDISPFLAG::
 424 * %TH::
 425 * {special symbol}::
 426 * ABSBOXCHAR::
 427 * APPENDFILE::
 428 * BACKUP::
 429 * BATCH::
 430 * BATCHKILL::
 431 * BATCHLOAD::
 432 * BATCON::
 433 * BATCOUNT::
 434 * BOTHCASES::
 435 * CHANGE_FILEDEFAULTS::
 436 * CLOSEFILE::
 437 * COLLAPSE::
 438 * CONCAT::
 439 * CURSORDISP::
 440 * DIREC::
 441 * DISP::
 442 * DISPCON::
 443 * DISPLAY::
 444 * DISPLAY2D::
 445 * DISPLAY_FORMAT_INTERNAL::
 446 * DISPTERMS::
 447 * DSKALL::
 448 * ERROR_SIZE::
 449 * ERROR_SYMS::
 450 * EXPT::
 451 * EXPTDISPFLAG::
 452 * FASSAVE::
 453 * FILEDEFAULTS::
 454 * FILENAME::
 455 * FILENAME_MERGE::
 456 * FILENUM::
 457 * FILE_SEARCH::
 458 * FILE_STRING_PRINT::
 459 * FILE_TYPE::
 460 * GRIND::
 461 * IBASE::
 462 * INCHAR::
 463 * LDISP::
 464 * LDISPLAY::
 465 * LINECHAR::
 466 * LINEDISP::
 467 * LINEL::
 468 * LOAD::
 469 * LOADFILE::
 470 * LOADPRINT::
 471 * NOSTRING::
 472 * OBASE::
 473 * OUTCHAR::
 474 * PACKAGEFILE::
 475 * PARSEWINDOW::
 476 * PFEFORMAT::
 477 * PRINT::
 478 * READ::
 479 * READONLY::
 480 * REVEAL::
 481 * RMXCHAR::
 482 * SAVE::
 483 * SAVEDEF::
 484 * SHOW::
 485 * SHOWRATVARS::
 486 * STARDISP::
 487 * STRING::
 488 * STRINGOUT::
 489 * TTYOFF::
 490 * WRITEFILE::
 491
 492 Program Flow
 493
 494 * Introduction to Program Flow::
 495 * ITERATION::
 496 * Definitions for Program Flow::
 497
 498 Introduction to Program Flow
 499
 500 * ITERATION::
 501 * BACKTRACE::
 502 * {special operator}::
 503 * ERRCATCH::
 504 * ERREXP::
 505 * ERROR::
 506 * ERRORFUN::
 507 * ERRORMSG::
 508 * {special operator}::
 509 * GO::
 510 * {special operator}::
 511 * LISPDEBUGMODE::
 512 * MAP::
 513 * MAPATOM::
 514 * MAPERROR::
 515 * MAPLIST::
 516 * PREDERROR::
 517 * RETURN::
 518 * SCANMAP::
 519 * THROW::
 520
 521 Plotting
 522
 523 * Introduction to Plotting::
 524 * PLOTTING-LISPM::
 525 * Definitions for Plotting::
 526
 527 Floating Point
 528
 529 * Definitions for Floating Point::
 530
 531 Numerical
 532
 533 * Introduction to Numerical::
 534 * DCADRE::
 535 * ELLIPT::
 536 * FOURIER::
 537 * NDIFFQ::
 538 * Definitions for Numerical::
 539
 540 Trigonometric
 541
 542 * Introduction to Trigonometric::
 543 * TRIG::
 544 * TRIGONOMETRY::
 545 * Definitions for Trigonometric::
 546
 547 Equations
 548
 549 * Definitions for Equations::
 550
 551 Arrays and Tables
 552
 553 * Definitions for Arrays and Tables::
 554
 555 Series
 556
 557 * Introduction to Series::
 558 * Definitions for Series::
 559
 560 Symmetries
 561
 562 * Definitions for Symmetries::
 563
 564 Groups
 565
 566 * Definitions for Groups::
 567
 568 Operators
 569
 570 * Introduction to Operators::
 571 * NARY::
 572 * NOFIX::
 573 * OPERATOR::
 574 * POSTFIX::
 575 * PREFIX::
 576 * Definitions for Operators::
 577
 578 Constants
 579
 580 * Definitions for Constants::
 581
 582 Special Functions
 583
 584 * Introduction to Special Functions::
 585 * GAMALG::
 586 * SPECINT::
 587 * Definitions for Special Functions::
 588
 589 Command Line
 590
 591 * Introduction to Command Line::
 592 * Definitions for Command Line::
 593
 594 Contexts
 595
 596 * Definitions for Contexts::
 597
 598 Matrices and Linear Algebra
 599
 600 * Introduction to Matrices and Linear Algebra::
 601 * DOT::
 602 * VECTORS::
 603 * Definitions for Matrices and Linear Algebra::
 604
 605 Runtime Environment
 606
 607 * Introduction to Runtime Environment::
 608 * CONTROL::
 609 * INIT::
 610 * INTERRUPTS::
 611 * Definitions for Runtime Environment::
 612
 613 Miscellaneous Options
 614
 615 * Introduction to Miscellaneous Options::
 616 * SETS::
 617 * SHARE::
 618 * Definitions for Miscellaneous Options::
 619
 620 Rules and Patterns
 621
 622 * Introduction to Rules and Patterns::
 623 * RULES::
 624 * Definitions for Rules and Patterns::
 625
 626 Number Theory
 627
 628 * Definitions for Number Theory::
 629
 630 Help
 631
 632 * Introduction to Help::
 633 * CMD::
 634 * COMMAND::
 635 * CPU::
 636 * HELP::
 637 * LISP-AND-MACSYMA::
 638 * GARBAGE_COLLECTION::
 639 * DOCUMENTATION::
 640 * MAXIMA::
 641 * Definitions for Help::
 642
 643 Differential Equations
 644
 645 * Definitions for Differential Equations::
 646
 647 Statistics
 648
 649 * Definitions for Statistics::
 650
 651 Limits
 652
 653 * Definitions for Limits::
 654
 655 Logarithms
 656
 657 * Definitions for Logarithms::
 658
 659 Debugging
 660
 661 * Definitions for Debugging::
 662
 663 Affine
 664
 665 * Definitions for Affine::
 666
 667 Tensor
 668
 669 * Introduction to Tensor::
 670 * ITENSR::
 671 * TENSORS::
 672 * Definitions for Tensor::
 673
 674 Ctensor
 675
 676 * Introduction to Ctensor::
 677 * CTENSR::
 678 * Definitions for Ctensor::
 679
 680 None
 681
 682 * Introduction to None::
 683 * Definitions for None::
 684 @end menu
 685
 686 @c includes
 687
 688 @include Lists.texi
 689
 690 @include Differentiation.texi
 691
 692 @include Integration.texi
 693
 694 @include Polynomials.texi
 695
 696 @include Simplification.texi
 697
 698 @include Expressions.texi
 699
 700 @include Function.texi
 701
 702 @include Input.texi
 703
 704 @include Program.texi
 705
 706 @include Plotting.texi
 707
 708 @c @include NonCommutative.texi
 709
 710 @include Floating.texi
 711
 712 @include Numerical.texi
 713
 714 @include Trigonometric.texi
 715
 716 @include Equations.texi
 717
 718 @include Arrays.texi
 719
 720 @include Series.texi
 721
 722 @include Symmetries.texi
 723
 724 @include Groups.texi
 725
 726 @include Operators.texi
 727
 728 @include Constants.texi
 729
 730 @include Special.texi
 731
 732 @include Command.texi
 733
 734 @include Contexts.texi
 735
 736 @include Matrices.texi
 737
 738 @include Runtime.texi
 739
 740 @include Miscellaneous.texi
 741
 742 @include Rules.texi
 743
 744 @include Number.texi
 745
 746 @include Help.texi
 747
 748 @include Differential.texi
 749
 750 @c @include xrefs.texi
 751
 752 @include Statistics.texi
 753
 754 @include Limits.texi
 755
 756 @include Logarithms.texi
 757
 758 @include Debugging.texi
 759
 760 @include Affine.texi
 761
 762 @include Tensor.texi
 763
 764 @include Ctensor.texi
 765
 766 @include None.texi
 767
 768 @c end includes
 769
 770 @node Function and Variable Index
 771 @unnumbered Function Index
 772 @printindex fn
 773
 774
 775 @bye
 776