!!FLIM global variable, 1
!!NFPD global variable, 2
!*CSYSTEMS global (AVECTOR), 3
!__FILE__ (special identifier), 4
!__LINE__ (special identifier), 5
Γ function, 6
ψ function, 7
ψ⁽ⁿ⁾ functions, 8
ζ function, 9
* operator, 10
    3-D vectors, 11
    algebraic numbers, 12
    lists, 13
    power series, 14
    vectors, 15
** operator, 16
    lists, 17
    power series, 18
*. (ldot) operator, 19
+ operator, 20
    3-D vectors, 21
    algebraic numbers, 22
    lists, 23
    power series, 24
    vectors, 25
- operator, 26
    3-D vectors, 27
    lists, 28
    power series, 29
    vectors, 30
.(CONS) operator, 31
.. operator, 32
/ operator, 33
    3-D vectors, 34
    algebraic numbers, 35
    lists, 36
    power series, 37
    vectors, 38
// operator, 39
:= (assignment) operator, 40, 41
; (statement terminator), 42
< operator, 43
<< (begin group), 44
<= operator, 45
== operator (CANTENS) PACKAGE), 46
> operator, 47
>< (cross product) operator
    3-D vectors, 48
>= operator, 49
>> (end group), 50
@ operator, 51
    partial differentiation, 52
    tangent vector, 53
# (Hodge-*) operator, 54, 55
$ (statement terminator), 56
% (Percent sign), 57
\ operator (SETDIFF), 58
operator, 59
    3-D vectors, 60
    exterior multiplication, 61, 62
    lists, 63
_ (lnth) operator for lists, 64
_| (inner product) operator, 65, 66
|_ (Lie derivative) operator, 67, 68
3j and 6j symbols, 69

ABS, 70, 71
ACOS, 72
ACOSH, 73
ACOT, 74
ACOTH, 75
ACSC, 76
ACSCH, 77
ADD_TO_COLUMNS operator, 78
ADD_TO_ROWS operator, 79
ADD_COLUMNS operator, 80
ADD_ROWS operator, 81
ADJ, 82
ADJOINT_CDIFFOP operator (CDE), 83
ADJPREC switch, 84
affine, 85
Affine space
    CANTENS package, 86
affine_points (CALI), 87
affine_points1
    * (CALI), 88
affine_monomial_curve, 89
affine_monomial_curve!*, 90
affine_points, 91
affine_points!*, 92
Airy functions, 93, 94, 95
Airy_Ai, 96, 97
Airy_Aiprime, 98, 99
Airy_Bi, 100, 101
Airy_Biprime, 102, 103
ALGEBRAIC, 104
Algebraic mode, 105, 106, 107
Algebraic number fields, 108
Algebraic numbers, 109
algebraic numbers (CALI), 110
ALGINT package, 111, 112
ALGINT switch, 113
ALL_PARAMETRIC_DER shared global variable (CDE), 114
ALL_PARAMETRIC_ODD shared global variable (CDE), 115
ALL_PARAMTERIC_DER shared global variable (CDE), 116
ALL_PRINCIPAL_DER shared global variable (CDE), 117
ALL_PRINCIPAL_ODD shared global variable (CDE), 118
ALLBRANCH switch, 119
ALLFAC switch, 120, 121, 122
ALLOWDFINT switch, 123
ALLSYMMETRYBASES, 124
analytic_spread, 125
analytic_spread!*, 126
AND logical operator, 127
annihilator, 128
annihilator!*, 129
ansatz of symmetry generator, 130
ANTICOM switch, 131
ANTICOMM operator, 132
Anticommutative
    CANTENS package, 133
ANTICOMMUTE, 134
Antisymmetric
    CANTENS package, 135
ANTISYMMETRIC declaration, 136, 137
Antisymmetric operator, 138
APPEND operator, 139
APPLYSYM, 140
APPLYSYM package
    example, 141
APPLYSYM package, 142
approximation, 143
ARBCOMPLEX, 144
ARBINT, 145
ARBVARS switch, 146
ARGLENGTH operator, 147
ARNUM package, 148
ARNUM package
    example, 149, 150, 151, 152
ARRAY, 153
Array declaration, 154
ASEC, 155
ASECH, 156
ASIN, 157
ASINH, 158
ASSERT package, 159
assgrad, 160
assgrad!*, 161
Assignment, 162, 163, 164, 165, 166, 167, 168, 169
Assignment statement, 170
    multiple, 171
ASSIST, 172, 173
ASSIST package, 174
ASSUMPTIONS variable, 175
Asymptotic command, 176, 177
ATAN, 178, 179
ATAN2, 180
ATANH, 181
AUGMENT_COLUMNS operator, 182
AVAILABLEGROUPS, 183
AVEC function, 184
AVECTOR package, 185
    example, 186, 187, 188, 189, 190
AVECTOR package, 191

BALANCED_MOD switch, 192, 193
BAND_MATRIX operator, 194
Barnes, Alan, 195, 196
bas_detectunits (CALI), 197
bas_factorunits (CALI), 198
bas_getrelations, 199
bas_removerelations, 200
bas_setrelations, 201
base coefficients (CALI), 202
base elements (CALI), 203
base ring (CALI), 204, 205
basis (CALI), 206
bcsimp (CALI), 207
BEGIN…END, 208, 209, 210, 211
Bernoulli, 212, 213
Bernoulli numbers, 214, 215
Bernoulli polynomials, 216, 217, 218
BernoulliP, 219, 220
BERNSTEIN_BASE, 221
Bessel functions, 222, 223, 224
BesselI, 225, 226
BesselJ, 227, 228
BesselK, 229, 230
BesselY, 231, 232
Beta, 233, 234
Beta function, 235, 236, 237
bettiNumbers, 238
BettiNumbers!*, 239
BEZOUT switch, 240
BFSPACE switch, 241
BIBASIS, 242
BIBASIS package, 243
bibasis_print_statistics, 244
Binomial, 245
Binomial coefficients, 246
binomial switch, 247
bloc-diagonal, 248, 249, 250
Block, 251, 252
BLOCK_MATRIX operator, 253
blockorder procedure (CALI), 254
blockorder!*, 255
blowup, 256
blowup (CALI), 257
blowup!*, 258
BNDEQ!* shared variable, 259
Boolean expression, 260
BOOLEAN operator, 261
BOOLEAN package, 262
border basis (CALI), 263
bounded identifier, 264
bounded identifier (CALI), 265
BOUNDS, 266, 267
Branch Cuts, 268
Buchberger’s Algorithm, 269, 270
BYE command, 271

C(I), 272
CALI package, 273
cali!=basering global variable (CALI), 274, 275, 276
cali!=degrees global variable (CALI), 277, 278, 279
cali!=monset global variable (CALI), 280, 281
Call by value, 282, 283
CAMAL package, 284
CANONICAL, 285
Canonical form, 286, 287
CANONICAL operator, 288, 289, 290, 291, 292, 293, 294, 295
CANONICALDECOMPOSITION, 296
CANTENS package, 297
CANTENS package
    == operator, 298
    affine space, 299
    anticommutative indexed objects, 300
    antisymmetric tensor, 301
    DEPEND, 302
    dummy indices, 303
    epsilon tensor, 304
    FORALL, 305
    indices, 306, 307
    indices, dummy, 308
    indices, numeric, 309
    indices, symbolic, 310
    LET, 311
    loading, 312
    metric tensor, 313
    mixed symmetry, 314
    numeric indices, 315
    partial symmetry, 316
    rewriting rules, 317
    Riemann tensor, 318
    signature, 319, 320, 321, 322
    spaces, 323, 324, 325
    spinor, 326
    SUB, 327, 328
    subspaces, 329
    symbolic indices, 330, 331
    symmetries, 332
    tensor contractions, 333
    tensor derivatives, 334
    tensor polynomial, 335
    trace, 336
    variables, 337, 338, 339
CARD_NO shared global variable, 340
Cartesian coordinates, 341
Catalan, 342
CATALAN reserved variable, 343
Caveats
    TAYLOR package, 344
CDE operator, 345
CDE package, 346
CDE_GRADING operator (CDE), 347
CDIff package, 348
CEILING, 349
CF operator, 350, 351
CF_EVEN_ODD operator, 352
CF_REMOVE_CONSTANT operator, 353
CF_REMOVE_FRACTIONS operator, 354
CF_UNIT_DENOMINATORS operator, 355
CF_UNIT_NUMERATORS operator, 356
CF_CONTINUENTS operator, 357
CF_CONVERGENT operator, 358
CF_CONVERGENTS operator, 359
CF_EULER operator, 360, 361
cf_euler operator, 362
CF_EXPRESSION operator, 363
CF_TAYLOR switch, 364
CF_TRANSFORM operator, 365
CFRAC operator, 366
cfrac operator, 367
CGB operator, 368
CGB package, 369
CGBFULLRED switch, 370
CGBGEN switch, 371
CGBGS switch, 372
CGBREAL switch, 373
CGBSTAT switch, 374
Chain rule, 375
change of term orders (CALI), 376
change_termorder, 377
change_termorder!*, 378
change_termorder1, 379
change_termorder1!*, 380
CHANGEVAR operator, 381
CHAR_MATRIX operator, 382
CHAR_POLY operator, 383
CHARACTER, 384
Character set, 385
CHARACTERN, 386
Chebysev polynomials, 387
Chebyshev fit, 388
Chebyshev polynomials, 389, 390
CHEBYSHEV_BASE_T, 391
CHEBYSHEV_BASE_U, 392
CHEBYSHEV_DF, 393
CHEBYSHEV_EVAL, 394
CHEBYSHEV_FIT, 395
CHEBYSHEV_INT, 396
ChebyshevT, 397, 398
ChebyshevU, 399, 400
CHECKORD switch, 401
Chi, 402, 403
CHOLESKY operator, 404
Ci, 405, 406
CLEAR, 407, 408
CLEAR_DUMMY_BASE, 409
clearcaliprintterms, 410
CLEARPHYSOP, 411
CLEARRULES, 412
Clebsch Gordan coefficients, 413
Clebsch_Gordan, 414
codim, 415
codim!*, 416
COEFF operator, 417
COEFF2 operator, 418
COEff2 package, 419
COEFF_MATRIX operator, 420
Coefficient, 421, 422, 423, 424, 425
COEFFN operator, 426
COFACTOR, 427
COFRAME
    WITH METRIC, 428
    WITH SIGNATURE, 429
Coframe, 430, 431
COFRAME command, 432
COLLECT keyword, 433
column degree (CALI), 434
COLUMN_DIM operator, 435
Combinatorial numbers, 436
COMBINEEXPT switch, 437
COMBINELOGS switch, 438
COMM, 439
COMM operator, 440
Command, 441
    BYE, 442
    CONT, 443
    DEFINE, 444
    PAUSE, 445
    SHOWTIME, 446
Command terminator
    IN command, 447
COMMENT keyword, 448
COMMUTE, 449
COMMUTEDF switch, 450
COMP switch, 451
COMPACT operator, 452
COMPACT package, 453
COMPANION operator, 454
Compiler, 455
COMPLEX, 456
Complex coefficient, 457
COMPLEX switch, 458, 459
Compound statement, 460, 461
Computations with supersymmetric algebraic and differential expressions, 462
Conditional statement, 463, 464
CONJ, 465
Constructor, 466
CONT COMMAND, 467
CONTFRAC operator, 468
contfrac operator, 469
Continued fractions, 470
CONTINUED_FRACTION operator, 471
CONTRACT, 472
CONV_CDIFF2SUPERFUN operator (CDE), 473
CONV_SUPERFUN2CDIFF operator (CDE), 474
Coordinates
    cartesian, 475
    cylindrical, 476
coordinates
    spherical, 477
COORDINATES operator, 478
COORDS vector, 479
COPY_INTO operator, 480
COS, 481
COSH, 482
COT, 483
COTH, 484
CRACK package, 485
crack, running in CDE package, 486
CRAMER switch, 487, 488
CREF, 489
CREF switch, 490
CRESYS, 491, 492
CROSS
    vector, 493
Cross product, 494, 495
Cross reference, 496
CSC, 497
CSCH, 498
CSETREPRESENTATION, 499
Curl
    vector field, 500
CURL
    operator, 501
CURL operator, 502
CVIT package, 503
Cylindrical coordinates, 504

d
    exterior differentiation, 505
dd_groebner, 506
Declaration, 507
    array, 508
    KORDER, 509
    mode handling, 510
DECOMPOSE, 511
decomposition
    partial fraction, 512
Default
    term order, 513
Defaults
    TAYLOR package, 514
DEFINE command, 515
DEFINE_SPACES, 516, 517
Definite integration (simple), 518
DEFINT function, 519
DEfiNT package, 520, 521
DEfiNT package, 522
DEFLINEINT function, 523
DEFN switch, 524, 525, 526
DEFPOLY statement, 527
DEG, 528
Degree, 529
degree, 530
degree arguments, 531
degree vectors (CALI), 532
degree!*, 533
degreeorder procedure (CALI), 534
degreeorder!*, 535
degsfromresolution, 536
del, 537, 538, 539
deleteunits
    * (CALI), 540
deleteunits, 541
DELSQ
    operator, 542
DELSQ operator, 543
delta, 544, 545, 546, 547, 548, 549, 550
deltafunction, 551, 552
DEMO, 553
DEN, 554, 555
DEP_VAR global variable (CDE), 556
DEPEND, 557
DEPEND
    CANTENS package, 558
DEPEND command, 559
DEPEND declaration, 560
DEPEND statement, 561
DEQ(I), 562
DER_DEG_ORDERING operator (CDE), 563
Derivative
    variational, 564
derivatives, 565
DESIR package, 566
DET, 567
DET operator, 568
detectunits (CALI), 569, 570
Determinant
    in DETM!*, 571
DETM!* variable, 572
DETRAFO, 573
DF, 574
DF operator, 575, 576
DF_ODD operator (CDE), 577
DFINT switch, 578
DFP, 579
DFPART package, 580
DFPRINT switch, 581
DIAGONAL operator, 582
DIAGONALIZE, 583
Differential geometry, 584
Differentiation, 585, 586, 587
    partial, 588
    vector, 589, 590
Digamma function, 591, 592
dilog, 593, 594, 595
Dilog function, 596, 597, 598
dim, 599
dim (CALI), 600
dim!*, 601
Dimension, 602
dimzerop, 603
dimzerop!*, 604
Dirac γ matrix, 605
directsum, 606
DISPJACOBIAN switch, 607
DISPLAY, 608
Display, 609
DISPLAYFRAME command, 610, 611
Displaying structure, 612
DIV
    operator, 613
DIV operator, 614
DIV switch, 615, 616
Divergence
    vector field, 617
DIVIDE operator, 618
DLINEINT, 619
dmode (CALI), 620
DO, 621, 622, 623
DO keyword, 624
Dollar sign, 625
DOT, 626
DOT
    vector, 627
Dot product, 628, 629, 630
DOTGRAD operator, 631, 632
Double slash operator
    in rules, 633
Double tilde variables
    in rules, 634
DOWN_QRATIO operator, 635
DOWNWARD_ANTIDIFFERENCE, 636
dp_pseudodivmod (CALI), 637
dp_pseudodivmod, 638, 639
dpgcd, 640, 641
dpmat (CALI), 642, 643, 644, 645, 646
dpmat_coldegs (CALI), 647
dpmat_cols (CALI), 648
dpmat_gbtag (CALI), 649
dpmat_list (CALI), 650
dpmat_rows (CALI), 651
dual bases (CALI), 652
dualbases (CALI), 653, 654, 655
dualhbases (CALI), 656, 657
DUMMY, 658, 659, 660, 661, 662, 663
dummy, 664, 665
Dummy indices
    CANTENS package, 666
dummy indices, 667
DUMMY package, 668
DUMMY_BASE, 669
DUMMY_INDICES, 670
DUMMY_NAME, 671
DVINT, 672
DVOLINT, 673

E reserved variable, 674
easydim, 675
easydim (CALI), 676
easydim!*, 677
easyindepset, 678
easyindepset!*, 679
easyprimarydecomposition, 680
easyprimarydecomposition!*, 681
ecart (CALI), 682, 683
ecart vector (CALI), 684, 685, 686
ECHO switch, 687
ED, 688, 689
EDITDEF, 690
EDS package, 691
efgb (CALI), 692
Ei, 693, 694
Elementary functions, 695
eliminate, 696
eliminate (CALI), 697
eliminate!*, 698
eliminationorder procedure (CALI), 699
eliminationorder!*, 700
ELL_FUNCTION operator (CDE), 701
Elliptic functions, 702, 703
Elliptic Integrals, 704, 705, 706
EllipticE, 707, 708
EllipticF, 709, 710
EllipticK, 711, 712
EllipticTheta1, 713, 714
EllipticTheta2, 715, 716
EllipticTheta3, 717, 718
EllipticTheta4, 719, 720
END, 721
EPS, 722, 723
EPS
    Levi-Civita tensor, 724
epsilon, 725, 726, 727
Epsilon tensor
    CANTENS package, 728
eqhull, 729
eqhull!*, 730
Equation, 731, 732
Erf, 733, 734, 735
ERRCONT switch, 736
Error functions, 737
Errors
    TAYLOR package, 738
eta, 739, 740, 741, 742
ETA(ALFA), 743
Euclidean metric, 744
euclidian, 745
Euler, 746, 747
Euler numbers, 748, 749
Euler polynomials, 750, 751, 752
EULER_DF operator (CDE), 753
Euler_Gamma, 754
EULER_GAMMA reserved variable, 755
EulerP, 756, 757
EVAL2 operator, 758
EVAL_MODE shared global variable, 759
EVALB, 760
EVALLHSEQP switch, 761
EVEN declaration, 762
Even operator, 763
EVENP boolean operator, 764
evlf (CALI), 765
EXCALC, 766
EXCALC package
    example, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782
    tracing, 783
EXCALC package, 784
EXCALC package
    example, 785
Exclamation mark, 786
EXCLUDE, 787, 788
EXCOEFFS, 789
EXDEGREE, 790
EXDEGREE command, 791
EXDELT, 792, 793
EXP, 794, 795, 796
EXP switch, 797, 798
EXPAND_CASES operator, 799
EXPAND_TD command, 800
EXPANDDF switch, 801
EXPANDLOGS switch, 802
EXPR, 803
Expression, 804
    boolean, 805
EXT operator (CDE), 806
EXTEND operator, 807
extended Gröbner factorizer (CALI), 808, 809, 810
EXTENDED_GOSPER, 811
EXTENDED_SUMRECURSION, 812
extendedgroebfactor, 813
extendedgroebfactor!*, 814
extendedgroebfactor1, 815
extendedgroebfactor1!*, 816
extendible power series, 817
Exterior calculus, 818
Exterior differentiation, 819
Exterior form
    declaration, 820
    ordering, 821
    vector, 822
    with indices, 823, 824
Exterior product, 825, 826
EXVARS, 827
EZGCD switch, 828

FACTOR declaration, 829
FACTOR switch, 830, 831
FACTORIAL, 832, 833
Factorization, 834
FACTORIZE, 835, 836
factorprimes (CALI), 837, 838
factorunits (CALI), 839, 840
FAILHARD switch, 841
FANCY_LOWER_DIGITS, 842
FANCY_PRINT_DF, 843
Fast loading of code, 844
FAST_LA switch, 845, 846
FASTSIMPLEX switch, 847
FDOMAIN command, 848, 849
FEXPR reserved identifier, 850
Fibonacci, 851
Fibonacci numbers, 852
Fibonacci polynomials, 853, 854, 855
FibonacciP, 856, 857
FIDE package, 858
File handling, 859
File, startup, 860
FIND_COMPANION operator, 861
FIRST operator, 862
FIRSTROOT, 863
FIX, 864
FIXP boolean operator, 865
flatten (CALI), 866
FLOOR, 867
FOR, 868
FORALL, 869, 870
FORALL
    CANTENS package, 871
FOREACH, 872, 873, 874, 875
FOREACH statement, 876
FOR statement, 877
FORDER command, 878, 879
FORT, 880
FORT switch, 881
FORTRAN, 882, 883
FORTUPPER switch, 884
FPS, 885
FPS package, 886
FRAME command, 887, 888
free identifier, 889
Free operators
    in rules, 890
FREEOF boolean operator, 891
Fresnel_C, 892, 893
Fresnel_S, 894, 895
FROBENIUS operator, 896
FULLROOTS switch, 897, 898
Function, 899

G, 900
Gamma, 901
Gamma function, 902, 903, 904
GAMMATOFACTORIAL, 905
gb-tag (CALI), 906, 907
gbasis, 908
gbasis!*, 909
gbtestversion (CALI), 910, 911, 912, 913
GCD, 914
GCD switch, 915
GCREF package, 916
gdimension, 917
Gegenbauer polynomials, 918, 919, 920
GegenbauerP, 921, 922
GEN(I), 923
Generalised Laguerre polynomials, 924
Generalized Hypergeometric functions, 925
GENERATORS, 926
generic function, 927
generic tensor, 928
GENERIC_FUNCTION, 929
GENTRAN package, 930
GET_COLUMNS operator, 931
GET_ROWS operator, 932
GETCSYSTEM command, 933
getdegrees, 934
getecart, 935
getkbase, 936
getkbase!*, 937
getleadterms, 938
getring procedure (CALI), 939
GETROOT, 940
getrules, 941
GFNEWT, 942
GFROOT, 943
gindependent_sets, 944
GL(I), 945
glexconvert, 946
global procedures (CALI), 947
GLOBAL_SIGN, 948, 949, 950
GLTBASIS switch, 951, 952
GNUPLOT command, 953
GNUPLOT package, 954
GNUPLOT package, 955
GOTO, 956, 957
GO TO statement, 958
Golden_Ratio, 959
GOLDEN_RATIO reserved variable, 960
GOSPER, 961
Gosper’s Algorithm, 962
GOSPER_REPRESENTATION variable, 963
Gröbner Bases, 964
GRAD
    operator, 965
GRAD operator, 966
Graded ordering, 967
GradedBettinumbers, 968
GradedBettiNumbers!*, 969
Gradient
    vector field, 970
gradlex
    term order, 971
GRAM_SCHMIDT operator, 972
greduce, 973
greduce_orders, 974
groeb
    =rf (CALI), 975
groeb (CALI), 976
groeb_homstbasis (CALI), 977
groeb_lazystbasis (CALI), 978
groeb_mingb, 979
groeb_minimize, 980
groeb_stbasis, 981
groebf_zeroprimes1 (CALI), 982
groebfactor, 983
groebfactor!*, 984
GROEBFULLREDUCTION switch, 985, 986
groebmonfac, 987, 988
groebner, 989
Groebner Bases, 990
GROEBNER package, 991
Groebner package, 992
    example, 993, 994, 995, 996, 997, 998, 999
    ordering
        graded, 1000
        grouped, 1001
        matrix, 1002
        weighted, 1003
    term order
        default, 1004
        gradlex, 1005
        lex, 1006
        revgradlex, 1007
GROEBNER package, 1008
groebner_walk, 1009
groebnerf, 1010, 1011, 1012
groebnert, 1013
GROEBOPT switch, 1014, 1015, 1016
GROEBPROT switch, 1017
groebprotfile, 1018
groebresmax, 1019
groebrestriction, 1020
GROEBSTAT switch, 1021, 1022
groepostproc, 1023
groesolve, 1024
Group statement, 1025, 1026, 1027
Grouped ordering, 1028
gsort, 1029
gsplit, 1030
gspoly, 1031
GSYS operator, 1032
GSYS2CGB operator, 1033
GUARDIAN package, 1034
gvars, 1035
gvarslast, 1036, 1037
gzerodim?, 1038

Hankel functions, 1039, 1040, 1041
Hankel1, 1042, 1043
Hankel2, 1044, 1045
hardzerotest (CALI), 1046
Hermite polynomials, 1047, 1048, 1049
HERMITE_BASE, 1050
HermiteP, 1051, 1052
HERMITIAN_TP operator, 1053
HESSIAN operator, 1054
HEUGCD switch, 1055
hf
    =hf (CALI), 1056
hf_whs_from_resolution, 1057
hf_whilb, 1058
hf_whilb3, 1059
HFACTORS scale factors, 1060
hftestversion (CALI), 1061, 1062, 1063, 1064
High energy trace, 1065
High energy vector expression, 1066, 1067
HIGH_POW, 1068
HILBERT operator, 1069
Hilbert polynomial, 1070
Hilbert series (CALI), 1071
Hilbertpolynomial, 1072
HilbertSeries, 1073
HilbertSeries (CALI), 1074
HilbertSeries!*, 1075
History, 1076
Hodge-* duality operator, 1077, 1078
homstbasis, 1079
homstbasis!*, 1080
HORNER, 1081
HORNER switch, 1082
hypergeometric, 1083
Hypergeometric functions, 1084, 1085
HYPERRECURSION, 1086
HYPERSUM, 1087
HYPERTERM, 1088
HYPOT, 1089

i, 1090
I reserved variable, 1091
I_SOLVE, 1092
ibeta, 1093, 1094
idealdimension, 1095
Ideal quotient, 1096
ideal quotient (CALI), 1097
ideal2mat, 1098
ideal2mat (CALI), 1099
ideal_of_minors, 1100, 1101
ideal_of_pfaffians, 1102, 1103
idealpower, 1104
idealprod, 1105
idealquotient, 1106, 1107
idealquotient!*, 1108
ideals (CALI), 1109
IDEALS package, 1110
idealsum, 1111
Identifier, 1112
IF, 1113, 1114
IFACTOR switch, 1115
igamma, 1116, 1117
IMAGINARY switch, 1118
imaginary unit, 1119
IMPART, 1120, 1121, 1122, 1123, 1124, 1125
IMPLICIT_TAYLOR operator, 1126
IN command, 1127
IN keyword, 1128
Incomplete Beta functions, 1129
Incomplete Gamma functions, 1130
Indefinite integration, 1131
INDEP_VAR global variable (CDE), 1132
independentsets, 1133
indepvarsets, 1134
indepvarsets!*, 1135
INDEX, 1136
INDEX_SYMMETRIES command, 1137, 1138
INDEXED, 1139
indexrange, 1140, 1141, 1142
INDEXRANGE command, 1143
Indices
    CANTENS package, 1144, 1145
INEQ package, 1146
INEQ_SOLVE operator, 1147
INFINITY, 1148, 1149
INFINITY reserved variable, 1150
INFIX declaration, 1151
Infix operator, 1152, 1153, 1154, 1155, 1156, 1157, 1158
INITIALIZE_EQUATIONS operator (CDE), 1159
initmat, 1160
Inner product, 1161
    exterior form, 1162
INPUT, 1163
Input, 1164
Instant evaluation, 1165, 1166, 1167, 1168, 1169
INT, 1170, 1171
INTEGER, 1172
Integer, 1173
Integral functions, 1174, 1175
INTEGRATE_EQUATION operator (CDE), 1176
Integration, 1177, 1178
    definite (simple), 1179
    line, 1180
    volume, 1181
Interactive use, 1182, 1183
internal procedures (CALI), 1184
INTERPOL, 1185
interreduce, 1186
interreduce!*, 1187
INTERSECTION, 1188
Introduction, 1189
INTSTR switch, 1190
INVBASE package, 1191
INVZTRANS, 1192
IRREDUCIBLEREPNR, 1193
IRREDUCIBLEREPTABLE, 1194
isolatedprimes, 1195
isolatedprimes!*, 1196
ISOLATER, 1197
isprime, 1198
isprime!*, 1199
iszeroradical, 1200

Jacobi Elliptic functions, 1201, 1202, 1203
Jacobi polynomials, 1204, 1205, 1206
Jacobi Theta functions, 1207, 1208, 1209
Jacobiam, 1210, 1211
JACOBIAN operator, 1212
Jacobicd, 1213, 1214
Jacobicn, 1215, 1216
Jacobics, 1217, 1218
Jacobidc, 1219, 1220
Jacobidn, 1221, 1222
Jacobids, 1223, 1224
JacobiE, 1225, 1226
Jacobinc, 1227, 1228
Jacobind, 1229, 1230
Jacobins, 1231, 1232
JacobiP, 1233, 1234
Jacobisc, 1235, 1236
Jacobisd, 1237, 1238
Jacobisn, 1239, 1240
JacobiZeta, 1241, 1242
JET_FIBER_DIM operator, 1243
JET_DIM operator, 1244
JOIN keyword, 1245
JORDAN operator, 1246
JORDAN_BLOCK operator, 1247
JORDANSYMBOLIC operator, 1248

KEEP command, 1249, 1250
Kernel, 1251, 1252, 1253, 1254
    CANTENS package, 1255
kernel form, 1256
Khinchin, 1257
KHINCHIN reserved variable, 1258
Killing Vectors, 1259
KILLING_VECTOR command, 1260, 1261
KORDER, 1262
KORDER declaration, 1263
KRONECKER_PRODUCT operator, 1264
Kummer functions, 1265, 1266, 1267
KummerM, 1268, 1269
KummerU, 1270, 1271

l’Hôpital’s rule, 1272, 1273
Label, 1274, 1275
Laguerre polynomials, 1276, 1277, 1278
LAGUERRE_BASE, 1279
LaguerreP, 1280, 1281
LALR package, 1282
LAMBDA reserved word, 1283
Lambert’s W function, 1284, 1285, 1286, 1287
Lambert_W, 1288, 1289
LAPLACE package, 1290
Laplacian
    vector field, 1291
Laurent series, 1292
lazy switch, 1293
lazystbasis, 1294
lazystbasis!*, 1295
LCM, 1296, 1297
LCOF, 1298
LDOT operator, 1299
Leading coefficient, 1300
Legendre polynomials, 1301, 1302, 1303, 1304
LEGENDRE_BASE, 1305
LEGENDRE_SYMBOL, 1306
LegendreP, 1307, 1308
LENGTH, 1309, 1310, 1311, 1312, 1313
LENGTH operator, 1314
    use on lists, 1315
Lerch_Phi, 1316, 1317
LET, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327
Levi-Cevita tensor, 1328
LEX, 1329
lex
    term order, 1330
lexefgb (CALI), 1331, 1332
lexicographic (CALI), 1333
LHS operator, 1334
LHYP switch, 1335
Li, 1336, 1337
Lie Derivative, 1338
LIE package, 1339
LIEPDE, 1340
LIMIT, 1341, 1342
LIMIT+, 1343
LIMIT-, 1344
LIMITS package, 1345
LIMITS package, 1346
LINALG package, 1347
Line integrals, 1348
LINEAR, 1349
Linear Algebra package, 1350, 1351
LINEAR declaration, 1352
Linear operator, 1353, 1354, 1355
LINEINT, 1356
LINEINT function, 1357
LINELENGTH operator, 1358
LISP, 1359
Lisp, 1360
LIST, 1361
List, 1362
    vector operations, 1363
list, 1364
List operation, 1365, 1366
LIST switch, 1367
LISTARGP declaration, 1368
LISTARGS switch, 1369
listgroebfactor, 1370
listgroebfactor!*, 1371
listminimize (CALI), 1372
LISTPROC keyword, 1373
listtest (CALI), 1374
LISTVECOPS package, 1375
LMON switch, 1376
LNTH operator, 1377
LOAD, 1378
LOAD_PACKAGE, 1379, 1380
LOADGROUPS, 1381
local procedures (CALI), 1382
localorder procedure (CALI), 1383
localorder!*, 1384
LOG, 1385, 1386
LOG10, 1387
LOGB, 1388
Lommel functions, 1389, 1390, 1391
Lommel1, 1392, 1393
Lommel2, 1394, 1395
LOOKING_GOOD switch, 1396
Loop, 1397, 1398
LOW_POW, 1399
LOWER_MATRIX switch, 1400
LPDO package, 1401
LPOWER, 1402
LTERM, 1403, 1404
LTRIG switch, 1405
LU_DECOM operator, 1406

m_gamma, 1407
M_ROOTS operator, 1408
M_SOLVE operator, 1409
MACRO, 1410
MAINVAR, 1411
MAKE_BLOC_DIAGONAL, 1412, 1413
MAKE_PARTIC_TENS, 1414, 1415, 1416, 1417
MAKE_TENSOR_BELONG_SPACE, 1418, 1419
MAKE_TENSOR_BELONG_SPACE declaration, 1420
MAKE_TENSOR_BELONG_SPACE operator, 1421
MAKE_IDENTITY operator, 1422
MAKE_VARIABLES, 1423
MAP, 1424
map, 1425
map (CALI), 1426
MASS, 1427, 1428
MAT, 1429, 1430, 1431
mat2list, 1432
mat2list (CALI), 1433, 1434
matappend, 1435
MATCH, 1436
MATEIGEN, 1437
Mathematical functions, 1438
mathomogenize, 1439
mathprint (CALI), 1440
matintersect, 1441
matintersect (CALI), 1442
matintersect!*, 1443
matjac, 1444, 1445
matqquot, 1446
matqquot!*, 1447
matquot
    * (CALI), 1448
matquot, 1449
matquot!*, 1450
MATRIX, 1451
Matrix assignment, 1452
Matrix calculations, 1453
Matrix ordering, 1454
MATRIX_AUGMENT operator, 1455
MATRIX_STACK operator, 1456
MATRIXP, 1457, 1458
MATRIXPROC, 1459
matstabquot, 1460
matstabquot!*, 1461
matsum, 1462
MAX, 1463
MCD, 1464, 1465
MCD switch, 1466, 1467
Meijer’s G function, 1468
MeijerG, 1469
MEMBER, 1470
metric, 1471, 1472
METRIC command, 1473
Metric structure, 1474
Metric tensor
    CANTENS package, 1475
MIN, 1476
minimal_generators, 1477
minimal_generators!*, 1478
Minimum, 1479
Minkowski, 1480, 1481, 1482
MINOR operator, 1483
minors, 1484, 1485
Mixed symmetry
    CANTENS package, 1486
MK_IDS_BELONG_ANYSPACE, 1487
MK_IDS_BELONG_SPACE, 1488
MK_IDS_BELONG_ANYSPACE operator, 1489
MK_IDS_BELONG_SPACE, 1490
MK_IDS_BELONG_SPACE operator, 1491
MK_CDIFFOP operator (CDE), 1492
MK_SUPERFUN operator (CDE), 1493
MKALLLINODD operator (CDE), 1494
MKID, 1495
MKPOLY, 1496
MKSET, 1497
MM, 1498
mod, 1499
MOD operator, 1500
mod!*, 1501
Mode, 1502
    algebraic, 1503
    symbolic, 1504
Mode communication, 1505
Mode handling declarations, 1506
modequalp, 1507
modequalp (CALI), 1508
modequalp!*, 1509
MODSR package, 1510
Modular coefficient, 1511
MODULAR switch, 1512, 1513, 1514
module bcsf (CALI), 1515
module cali (CALI), 1516
module calimat (CALI), 1517, 1518
module dpmat (CALI), 1519
module groeb (CALI), 1520
module groebf (CALI), 1521, 1522
module lf (CALI), 1523, 1524
module moid (CALI), 1525
module mora (CALI), 1526
module odim (CALI), 1527, 1528
module prime (CALI), 1529
module quotient (CALI), 1530
module ring (CALI), 1531
module scripts (CALI), 1532, 1533
module term order (CALI), 1534
module triang (CALI), 1535, 1536
modulequotient, 1537
modulequotient!*, 1538
modules (CALI), 1539
moid_primes, 1540
MONOMIAL_BASE, 1541
Motzkin, 1542
Motzkin numbers, 1543
MRV_LIMIT operator, 1544
MRVLIMIT package, 1545
MSG switch, 1546
MSHELL, 1547
MULT_COLUMNS operator, 1548
MULT_ROWS operator, 1549
Multiple assignment statement, 1550
MULTIPLICITIES switch, 1551
MULTIROOT switch, 1552

NAT switch, 1553, 1554
NCPOLY package, 1555
NEARESTROOT, 1556, 1557
NEARESTROOTS, 1558
NEGATIVE, 1559, 1560
NEGATIVE reserved variable, 1561
negativity, 1562
NERO switch, 1563, 1564
Newton’s method, 1565
NEXTPRIME, 1566
NIL reserved variable, 1567
NM operator, 1568
NN, 1569
NOCOMMUTEDF switch, 1570
NOCONVERT switch, 1571
NODEPEND command, 1572
NODEPEND statement, 1573
NOETHER function, 1574, 1575
Noetherian (CALI), 1576
Noetherian switch, 1577, 1578
NOEXPAND_TD command, 1579
NOINTSUBST switch, 1580
NOLNR switch, 1581
nome, 1582
Nome and Related functions, 1583, 1584
Non-commuting operator, 1585
NONCOM, 1586
NONCOM declaration, 1587
NONZERO declaration, 1588
normalform, 1589
normalform!*, 1590
NORMFORM package, 1591
NORMFORM package, 1592
NOSPLIT, 1593
NOSPLIT switch, 1594
NOSPUR, 1595
NOSUM command, 1596, 1597
NOSUM switch, 1598
NOT_NEGATIVE switch, 1599
NOTREALVALUED declaration, 1600
NOXPND
    @, 1601
    D, 1602
NOXPND@ command, 1603
NOXPND command, 1604
NS dummy variable, 1605
NULLSPACE, 1606
NUM, 1607
NUM_FIT, 1608
NUM_INT, 1609, 1610
NUM_MIN, 1611, 1612
NUM_ODESOLVE, 1613, 1614
NUM_SOLVE, 1615, 1616
Number, 1617, 1618
NUMBERP boolean operator, 1619
Numeric indices
    CANTENS package, 1620
NUMERIC package, 1621
NUMERIC package, 1622
Numerical operator, 1623
Numerical precision, 1624
nzdp, 1625
nzdp!*, 1626

ODD declaration, 1627
Odd operator, 1628
ODD_VAR global variable (CDE), 1629
ODESOLVE package, 1630
odim_borderbasis, 1631
odim_parameter, 1632
odim_up, 1633
OFF, 1634, 1635
oldbasis (CALI), 1636
oldborderbasis (CALI), 1637
oldring (CALI), 1638
ON, 1639, 1640
ON keyword, 1641
ONE_OF operator, 1642
ONESPACE switch, 1643, 1644, 1645
    Off, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653
    On, 1654, 1655, 1656, 1657, 1658, 1659, 1660
ONLY_INTEGER switch, 1661
OPAPPLY, 1662
OPERATOR, 1663
Operator, 1664, 1665, 1666, 1667
    antisymmetric, 1668
    CANTENS package, 1669
    double slash, 1670
    even, 1671
    infix, 1672
    linear, 1673
    non-commuting, 1674
    numerical, 1675
    odd, 1676
    precedence, 1677, 1678
    symmetric, 1679
    unary prefix, 1680
OPERATOR declaration, 1681
    CANTENS package, 1682
Operators
    free, in rules, 1683
OPORDER, 1684
OR logical operator, 1685
ORDER declaration, 1686, 1687
Ordering
    exterior form, 1688
ORDP boolean operator, 1689, 1690
Orthogonal polynomials, 1691, 1692, 1693
ORTHOVEC package, 1694
ORTHOVEC package
    example, 1695, 1696, 1697, 1698, 1699, 1700
Other polynomials, 1701, 1702, 1703
OUT command, 1704
Output, 1705, 1706
Output declaration, 1707, 1708
OUTPUT switch, 1709

Packages
    ALGINT, 1710, 1711
    APPLYSYM, 1712
    ARNUM, 1713
    ASSERT, 1714
    ASSIST, 1715
    AVECTOR, 1716
    BIBASIS, 1717
    BOOLEAN, 1718
    CALI, 1719
    CAMAL, 1720
    CANTENS, 1721
    CDE, 1722
    CDIff, 1723
    CGB, 1724
    COEff2, 1725
    COMPACT, 1726
    CRACK, 1727
    CVIT, 1728
    DEfiNT, 1729, 1730
    DEfiNT, 1731
    DESIR, 1732
    DFPART, 1733
    DUMMY, 1734
    EDS, 1735
    EXCALC, 1736
    FIDE, 1737
    FPS, 1738
    GCREF, 1739
    GENTRAN, 1740
    GNUPLOT, 1741
    GROEBNER, 1742
    GROEBNER, 1743
    GUARDIAN, 1744
    IDEALS, 1745
    INEQ, 1746
    INVBASE, 1747
    LALR, 1748
    LAPLACE, 1749
    LIE, 1750
    LIMITS, 1751
    LINALG, 1752
    LISTVECOPS, 1753
    LPDO, 1754
    MODSR, 1755
    MRVLIMIT, 1756
    NCPOLY, 1757
    NORMFORM, 1758
    NUMERIC, 1759
    ODESOLVE, 1760
    ORTHOVEC, 1761
    PHYSOP, 1762
    PLOT, 1763
    PM, 1764
    QHULL, 1765
    QSUM, 1766
    RANDPOLY, 1767
    RATAPRX, 1768
    RATINT, 1769
    REACTEQN, 1770
    REDLOG, 1771
    RESET, 1772
    RESIDUE, 1773
    RLfi, 1774
    ROOTS, 1775
    RSOLVE, 1776
    RTRACE, 1777
    SCOPE, 1778
    SETS, 1779
    SPARSE, 1780
    SPDE, 1781
    SPECFN, 1782
    SPECFN2, 1783
    SSTOOLS, 1784
    SUM, 1785
    SYMMETRY, 1786
    TAYLOR, 1787
    TPS, 1788
    TRI, 1789
    TRIGD, 1790
    TRIGINT, 1791
    TRIGSIMP, 1792, 1793
    TURTLE, 1794
    WU, 1795
    XCOLOR, 1796
    XIDEAL, 1797
    ZEILBERG, 1798
    ZTRANS, 1799
Padé Approximation, 1800
PADE operator, 1801
Padget, Julian, 1802
PART operator, 1803, 1804
    use on lists, 1805
    use on Taylor kernel, 1806, 1807
PARTIAL, 1808
partial derivatives, 1809
Partial differentiation, 1810
partial fraction, 1811
partial fraction decomposition, 1812
Partial symmetry
    CANTENS package, 1813
PAUSE command, 1814
PCLASS, 1815, 1816, 1817
Percent sign, 1818
PERIOD switch, 1819
Periodic decimal representation, 1820
PERIODIC operator, 1821
PERIODIC2RATIONAL operator, 1822
PF operator, 1823
pfaffian, 1824, 1825
PFORM command, 1826
PFORM statement, 1827
PHYSINDEX, 1828
PHYSOP package, 1829
PI reserved variable, 1830
PIVOT operator, 1831
PLOT, 1832
PLOT package, 1833
PLOTKEEP switch, 1834
PLOTRESET, 1835
PM package, 1836
Pochammer symbol, 1837
Pochhammer, 1838
Pochhammer notation, 1839
Pochhammer symbol, 1840, 1841, 1842, 1843, 1844
POLY_QUOTIENT operator, 1845
Polygamma, 1846, 1847
Polygamma functions, 1848, 1849, 1850
Polylog, 1851, 1852
PolyLogarithm and related functions, 1853
Polylogarithm and related functions, 1854
polylogarithm and related functions, 1855
Polynomial, 1856
Polynomial equations, 1857
Polynomial functions, 1858, 1859
Polynomial Pseudo-Division, 1860
POSITIVE, 1861, 1862
POSITIVE reserved variable, 1863
positivity, 1864
Power series, 1865
    arithmetic, 1866
    composition, 1867
    differentiation, 1868
    of integral, 1869
    of user defined function, 1870
Power series expansions, 1871
PRECEDENCE declaration, 1872
PRECISE switch, 1873, 1874
PRECISE_COMPLEX switch, 1875
PRECISION operator, 1876
    in ROOTS package, 1877
preduce, 1878
preducet, 1879
Prefix, 1880, 1881
Prefix operator, 1882
    declaring new one, 1883
Prefix operator, unary, 1884
preimage, 1885
preimage (CALI), 1886
preimage!*, 1887
PRET switch, 1888, 1889
PRETTYPRINT, 1890
Prettyprinting, 1891, 1892
PRGEN, 1893
PRI switch, 1894
primary decomposition (CALI), 1895
primarydecomposition, 1896
primarydecomposition!*, 1897
prime
    =decompose2 (CALI), 1898
PRIMEP boolean operator, 1899
PRINCIPAL_DER global variable (CDE), 1900
PRINT_INDEXED declaration, 1901
PRINT_NOINDEXED declaration, 1902
PRINT_PRECISION command, 1903
PRINTGROUP, 1904
printterms (CALI), 1905
Procedure
    body, 1906, 1907
    heading, 1908
    list-valued, 1909
    matrix-valued, 1910
    using LET inside body, 1911
PROCEDURE command, 1912
PROD operator, 1913
PRODUCT, 1914
PRODUCT keyword, 1915
Program, 1916
Program structure, 1917
proj_points (CALI), 1918
proj_points1
    * (CALI), 1919
proj_monomial_curve, 1920
proj_monomial_curve!*, 1921
proj_points, 1922
proj_points!*, 1923
Proper statement, 1924, 1925, 1926, 1927, 1928
PRSYS, 1929, 1930
PS, 1931
PS operator, 1932
PSCHANGEVAR operator, 1933
PSCOMPOSE operator, 1934
PSCOPY operator, 1935
PSDEPVAR operator, 1936
Pseudo-Division, 1937
PSEUDO_DIVIDE operator, 1938
PSEUDO_INVERSE operator, 1939
PSEUDO_QUOTIENT operator, 1940
PSEUDO_REMAINDER operator, 1941
PSEXPANSIONPT operator, 1942
PSEXPLIM Operator, 1943
PSEXPLIM operator, 1944
PSFUNCTION operator, 1945
psi, 1946, 1947
Psi function, 1948, 1949
PSORDER operator, 1950
PSORDLIM operator, 1951
PSPRINTORDER switch, 1952
PSREVERSE operator, 1953
PSSETORDER operator, 1954
PSSUM operator, 1955
PSTAYLOR operator, 1956
PSTERM operator, 1957
PSTRUNCATE operator, 1958
Puiseux expansion, 1959
Puiseux series, 1960
PUT_EQUATIONS_USED operator (CDE), 1961
PUTCSYSTEM command, 1962
PVAR_DF operator (CDE), 1963

QBINOMIAL operator, 1964
QBRACKETS operator, 1965
QFACTORIAL operator, 1966
QGOSPER operator, 1967
QGOSPER_DOWN switch, 1968, 1969
QGOSPER_SPECIALSOL switch, 1970
QHULL package, 1971
QPHIHYPERTERM operator, 1972
QPOCHHAMMER operator, 1973
QPSIHYPERTERM operator, 1974
QRATIO operator, 1975
QSIMPCOMB operator, 1976, 1977
QSUM package, 1978
QSUM_NULLSPACE switch, 1979, 1980
QSUM_TRACE switch, 1981
QSUMRECURSION operator, 1982
QSUMRECURSION_CERTIFICATE switch, 1983, 1984
QSUMRECURSION_DOWN switch, 1985
QSUMRECURSION_EXP switch, 1986
Quadrature, 1987
QUASILINPDE, 1988
QUIT, 1989
QUOTE, 1990

R_SOLVE, 1991
radical, 1992
radical (CALI), 1993
radical!*, 1994
RANDOM, 1995
random_linear_form, 1996, 1997
RANDOM_NEW_SEED, 1998
RANDOM_MATRIX operator, 1999
RANDPOLY package, 2000
RANK, 2001
RAT, 2002
RAT switch, 2003
RATAPRX package, 2004
RATARG switch, 2005, 2006
RATINT package, 2007
Rational coefficient, 2008
Rational function, 2009
rational number, 2010
RATIONAL switch, 2011
RATIONAL2PERIODIC operator, 2012
RATIONALIZE switch, 2013
RATJORDAN operator, 2014
ratpreimage, 2015
ratpreimage!*, 2016
RATPRI, 2017
RATPRI switch, 2018
RATROOT switch, 2019
REACTEQN package, 2020
REAL, 2021
Real coefficient, 2022, 2023
Real number, 2024, 2025
REALROOTS, 2026, 2027
REALVALUED declaration, 2028
REALVALUEDP, 2029
red (CALI), 2030
red_better (CALI), 2031
red_extract (CALI), 2032
red_prepare (CALI), 2033
red_TailRedDriver (CALI), 2034
red_TopRedBE (CALI), 2035
red_total (CALI), 2036
red_Interreduce, 2037
red_redpol, 2038
red_Straight, 2039
red_TailRed, 2040
red_TopInterreduce, 2041
red_TopRed, 2042
red_TopRedBE, 2043
red_TotalRed, 2044
REDERR, 2045
REDLOG package, 2046
REDUCE, 2047
reducerc file, 2048, 2049
REDUCT, 2050
REIMPART, 2051
REM_SPACES, 2052
REM_DUMMY_IDS, 2053
REM_DUMMY_INDICES, 2054, 2055
REM_VALUE_TENS, 2056, 2057
REM_SPACES, 2058
REM_TENSOR, 2059
REMAINDER operator, 2060
REMANTICOM, 2061
REMEMBER, 2062
REMFAC, 2063
REMFORDER command, 2064, 2065
REMIND, 2066
REMOVE_COLUMNS operator, 2067, 2068
REMOVE_ROWS operator, 2069
REMOVE_VARIABLES, 2070
REMSYM, 2071, 2072
RENOSUM command, 2073, 2074
REPART, 2075, 2076, 2077, 2078
REPEAT, 2079, 2080, 2081, 2082
REPEAT statement, 2083
REPPRINCPARAM_DER shared global variable (CDE), 2084
REPPRINCPARAM_ODD shared global variable (CDE), 2085
REQUIREMENTS shared variable, 2086
Reserved variable, 2087, 2088
Reserved variable
    HIGH_POW, 2089
    LOW_POW, 2090
    CATALAN, 2091
    EULER_GAMMA, 2092
    GOLDEN_RATIO, 2093
    I, 2094
    INFINITY, 2095
    KHINCHIN, 2096
    NEGATIVE, 2097
    NIL, 2098
    PI, 2099
    POSITIVE, 2100
    T, 2101
RESET operator, 2102
RESET package, 2103
RESIDUE package, 2104
resolve, 2105
resolve (CALI), 2106
Resolve!*, 2107
REST operator, 2108
RESULT, 2109
RESULTANT, 2110
RETRY, 2111
RETURN, 2112, 2113, 2114, 2115
RETURN statement, 2116
reverse lexicographic (CALI), 2117
REVERSE operator, 2118
REVGRADLEX, 2119
revgradlex
    term order, 2120
revlex term order (CALI), 2121
REVPRI, 2122
REVPRI switch, 2123
Rewriting rules
    CANTENS package, 2124
RHS operator, 2125
Riemann tensor
    CANTENS package, 2126
Riemann Zeta function, 2127, 2128, 2129
RIEMANNCONX command, 2130, 2131
Riemannian Connections, 2132
ring (CALI), 2133
ring_2a (CALI), 2134
ring_degrees (CALI), 2135
ring_ecart (CALI), 2136
ring_from_a (CALI), 2137
ring_isnoetherian (CALI), 2138
ring_names (CALI), 2139
ring_tag (CALI), 2140
ring_define, 2141
ring_lp, 2142
ring_rlp, 2143
ring_sum, 2144
RLfi package, 2145
Rlisp, 2146
RLISP88, 2147
RLROOTNO, 2148
root finding, 2149
ROOT_MULTIPLICITIES global variable, 2150
ROOT_OF operator, 2151, 2152
ROOT_VAL, 2153, 2154
ROOTACC operator (ROOTS package), 2155
ROOTACC!# global variable (ROOTS package), 2156
ROOTMSG switch, 2157
ROOTPREC operator (ROOTS package), 2158
ROOTS, 2159, 2160
ROOTS package, 2161
ROOTS package, 2162
ROOTS_AT_PREC, 2163
ROOTSCOMPLEX, 2164
ROOTSREAL, 2165
ROUND, 2166
ROUNDALL switch, 2167
ROUNDBF switch, 2168
ROUNDED, 2169, 2170
ROUNDED switch, 2171, 2172, 2173, 2174, 2175
ROW_DIM operator, 2176
ROWS_PIVOT operator, 2177
RSETREPRESENTATION, 2178
RSOLVE package, 2179
RTR command, 2180
RTRACE package, 2181
RTRACE switch, 2182, 2183
RTROUT command, 2184
RTRST command, 2185
Rule lists, 2186
Rules
    Double slash operators, 2187
    Double tilde variables, 2188
    Free operators, 2189
rules (CALI), 2190

saturation, 2191
SAVE_CDE_STATE operator, 2192
SAVEAS statement, 2193
savemat, 2194
savesfs switch, 2195
SAVESTRUCTR switch, 2196
Saving an expression, 2197
SCALAR, 2198, 2199
Scalar, 2200, 2201
Scalar variable, 2202
SCALEFACTORS operator, 2203
SCALOP, 2204
SCHOUTEN_BRACKET operator (CDE), 2205
SCIENTIFIC_NOTATION declaration, 2206
SCOPE package, 2207
SDER(I), 2208
SEC, 2209
SECH, 2210
SECOND operator, 2211
SELECT, 2212
Selector, 2213
SELECTVARS operator, 2214
SELFCONJUGATE declaration, 2215, 2216
Semicolon, 2217
SET statement, 2218, 2219
Set Statement, 2220
SET_EQ, 2221
SETAVAILABLE, 2222
setcaliprintterms, 2223
setcalitrace, 2224
setcalitrace (CALI), 2225
setdegrees, 2226
setdegrees (CALI), 2227
SETDIFF, 2228
SETELEMENTS, 2229
setgbasis, 2230
setgbasis (CALI), 2231
SETGENERATORS, 2232
SETGROUPTABLE, 2233
setideal, 2234
setideal (CALI), 2235
setkorder (CALI), 2236
SETMOD, 2237
setmodule, 2238
setmodule (CALI), 2239
setmonset (CALI), 2240
setmonset!*, 2241
setring (CALI), 2242, 2243, 2244, 2245
setring command (CALI), 2246
setring!*, 2247
setrules, 2248
setrules (CALI), 2249, 2250, 2251
setrules!*, 2252
SETS package, 2253
SGN
    indeterminate sign, 2254
SHARE declaration, 2255
Shi, 2256, 2257
SHOW_DUMMY_NAMES, 2258
SHOW_EPSILONS, 2259, 2260, 2261
SHOW_SPACES, 2262, 2263, 2264
SHOWRULES, 2265
SHOWTIME command, 2266
SHUT command, 2267
Si, 2268, 2269
Side effect, 2270
sieve, 2271
SIGN, 2272, 2273
SIGNATURE, 2274
Signature
    CANTENS package, 2275, 2276, 2277, 2278
signature, 2279, 2280, 2281
SIGNATURE command, 2282
SIMPLEDE, 2283
SIMPLEX operator, 2284
Simplification, 2285, 2286, 2287
simplify_combinatorial, 2288
SIMPLIFY_GAMMA, 2289
simplify_gamma2, 2290
simplify_gamman, 2291
SIMPNONCOMDF switch, 2292
SIMPSYS, 2293, 2294, 2295
SIN, 2296
singular_locus, 2297
singular_locus!*, 2298
SINH, 2299
SixjSymbol, 2300
SMACRO reserved identifier, 2301
SMITHEX operator, 2302
SMITHEX_INT operator, 2303
SolidHarmonicY, 2304, 2305
SOLVE operator, 2306, 2307, 2308
    ASSUMPTIONS variable, 2309
    REQUIREMENTS shared variable, 2310
    ROOT_MULTIPLICITIES global variable, 2311
    use of GROEBNER package, 2312
SOLVE package
    with ROOTS package, 2313
SOLVESINGULAR switch, 2314
Sonin polynomials, 2315
space, 2316
SPACEDIM command, 2317, 2318
Spaces
    CANTENS package, 2319, 2320, 2321
spaces, 2322, 2323, 2324, 2325
SPADD_TO_COLUMNS operator, 2326
SPADD_TO_ROWS operator, 2327
SPADD_COLUMNS operator, 2328
SPADD_ROWS operator, 2329
SPARSE declaration, 2330
SPARSE package, 2331
SPARSEMATP predicate, 2332
SPAUGMENT_COLUMNS operator, 2333
SPBAND_MATRIX operator, 2334
SPBLOCK_MATRIX operator, 2335
SPCHAR_MATRIX operator, 2336
SPCHAR_POLY operator, 2337
SPCHOLESKY operator, 2338
SPCOEFF_MATRIX operator, 2339
SPCOL_DIM operator, 2340
SPCOMPANION operator, 2341
SPCOPY_INTO operator, 2342
SPDE package, 2343
SPDIAGONAL operator, 2344
SPECFN package, 2345
SPECFN2 package, 2346
Special functions, 2347, 2348
SPEXTEND operator, 2349
SPFIND_COMPANION operator, 2350
SPGET_COLUMNS operator, 2351
SPGET_ROWS operator, 2352
SPGRAM_SCHMIDT operator, 2353
Spherical and Solid Harmonics, 2354, 2355, 2356
Spherical coordinates, 2357, 2358
SphericalHarmonicY, 2359, 2360
SPHERMITIAN_TP operator, 2361
SPHESSIAN operator, 2362
Spinor
    CANTENS package, 2363
SPJACOBIAN operator, 2364
SPJORDAN_BLOCK operator, 2365
SPLIT_FIELD function, 2366
SPLITEXT_LIST operator (CDE), 2367
SPLITEXT_OPEQU operator (CDE), 2368
SPLITVARS_OPEQU operator (CDE), 2369
SPLU_DECOM operator, 2370
SPMAKE_IDENTITY operator, 2371
SPMATRIX_AUGMENT operator, 2372
SPMATRIX_STACK operator, 2373
SPMINOR operator, 2374
SPMULT_COLUMNS operator, 2375
SPMULT_ROWS operator, 2376
SPPIVOT operator, 2377
SPPSEUDO_INVERSE operator, 2378
SPREMOVE_ROWS operator, 2379
SPROW_DIM operator, 2380
SPROWS_PIVOT operator, 2381
SPSUB_MATRIX operator, 2382
SPSVD operator, 2383
SPSWAP_COLUMNS operator, 2384
SPSWAP_ENTRIES operator, 2385
SPSWAP_ROWS operator, 2386
SPUR, 2387
SQFRF, 2388
SQRT, 2389
SQUAREP predicate, 2390, 2391
SSTOOLS package, 2392
stable quotient (CALI), 2393
STACK_ROWS operator, 2394, 2395
Standard form, 2396
Standard quotient, 2397
Startup file, 2398, 2399
STATE, 2400
Statement, 2401
    assignment, 2402
    compound, 2403
    conditional, 2404
    FOR, 2405
    FOREACH, 2406
    GO TO, 2407
    Group, 2408
    REPEAT, 2409
    RETURN, 2410
    SAVEAS, 2411
    Set, 2412
    Unset, 2413
    WHILE, 2414
Statement terminator, 2415
Stirling numbers, 2416, 2417, 2418
Stirling1, 2419, 2420
Stirling2, 2421, 2422
STOREGROUP, 2423
String, 2424
STRUCTR, 2425, 2426
Structuring, 2427
Struve functions, 2428, 2429, 2430
StruveH, 2431, 2432
StruveL, 2433, 2434
Sturm Sequences, 2435
SUB, 2436
SUB operator, 2437
SUB_MATRIX operator, 2438
sublist (CALI), 2439
submodulep, 2440
submodulep!*, 2441
SUBSET_EQ, 2442
Subspaces
    CANTENS package, 2443
subspaces, 2444
Substitution, 2445
SUCHTHAT, 2446
SUM, 2447
SUM keyword, 2448
SUM operator, 2449
SUM package, 2450
SUM!-SQ operator, 2451
SUMRECURSION, 2452
SUMTOHYPER, 2453
SUPER_PRODUCT operator (CDE), 2454
SVD operator, 2455
SVEC, 2456
SWAP_COLUMNS operator, 2457
SWAP_ENTRIES operator, 2458
SWAP_ROWS operator, 2459
Switch, 2460, 2461
    ADJPREC, 2462
    ALGINT, 2463
    ALLBRANCH, 2464
    ALLFAC, 2465, 2466, 2467
    ALLOWDFINT, 2468
    ANTICOM, 2469
    ARBVARS, 2470
    BALANCED_MOD, 2471, 2472
    BEZOUT, 2473
    BFSPACE, 2474
    binomial, 2475
    CHECKORD, 2476
    COMBINEEXPT, 2477
    COMBINELOGS, 2478
    COMMUTEDF, 2479
    COMP, 2480
    COMPLEX, 2481, 2482
    CRAMER, 2483, 2484
    CREF, 2485
    DEFN, 2486, 2487, 2488
    DFINT, 2489
    DFPRINT, 2490
    DISPJACOBIAN, 2491
    DIV, 2492, 2493
    ECHO, 2494
    ERRCONT, 2495
    EVALLHSEQP, 2496
    EXP, 2497, 2498
    EXPANDDF, 2499
    EXPANDLOGS, 2500
    EZGCD, 2501
    FACTOR, 2502, 2503
    FAILHARD, 2504
    FAST_LA, 2505, 2506
    FASTSIMPLEX, 2507
    FORT, 2508
    FORTUPPER, 2509
    FULLROOTS, 2510
    GCD, 2511
    GLTBASIS, 2512, 2513
    GROEBFULLREDUCTION, 2514, 2515
    GROEBOPT, 2516, 2517, 2518
    GROEBPROT, 2519
    GROEBSTAT, 2520, 2521
    HEUGCD, 2522
    HORNER, 2523
    IFACTOR, 2524
    IMAGINARY, 2525
    INTSTR, 2526
    lazy, 2527
    LHYP, 2528
    LIST, 2529
    LISTARGS, 2530
    LMON, 2531
    LOOKING_GOOD, 2532
    LOWER_MATRIX, 2533
    LTRIG, 2534
    MCD, 2535, 2536
    MODULAR, 2537, 2538, 2539
    MSG, 2540
    MULTIPLICITIES, 2541
    MULTIROOT, 2542
    NAT, 2543, 2544
    NERO, 2545
    NOCOMMUTEDF, 2546
    NOCONVERT, 2547
    Noetherian, 2548, 2549
    NOINTSUBST, 2550
    NOLNR, 2551
    NOSPLIT, 2552
    NOSUM, 2553
    NOT_NEGATIVE, 2554
    ONESPACE, 2555, 2556, 2557
    ONLY_INTEGER, 2558
    OUTPUT, 2559
    PERIOD, 2560
    PLOTKEEP, 2561
    PRECISE, 2562, 2563
    PRECISE_COMPLEX, 2564
    PRET, 2565, 2566
    PRI, 2567
    PSPRINTORDER, 2568
    QGOSPER_DOWN, 2569, 2570
    QGOSPER_SPECIALSOL, 2571
    QSUM_NULLSPACE, 2572, 2573
    QSUM_TRACE, 2574
    QSUMRECURSION_CERTIFICATE, 2575, 2576
    QSUMRECURSION_DOWN, 2577
    QSUMRECURSION_EXP, 2578
    RAT, 2579
    RATARG, 2580, 2581
    RATIONAL, 2582
    RATIONALIZE, 2583
    RATPRI, 2584
    RATROOT, 2585
    REVPRI, 2586
    ROOTMSG, 2587
    ROUNDALL, 2588
    ROUNDBF, 2589
    ROUNDED, 2590, 2591, 2592, 2593, 2594
    RTRACE, 2595, 2596
    savesfs, 2597
    SAVESTRUCTR, 2598
    SIMPNONCOMDF, 2599
    SOLVESINGULAR, 2600
    SYMMETRIC, 2601
    TAYLORAUTOCOMBINE, 2602
    TAYLORAUTOEXPAND, 2603, 2604
    TAYLORKEEPORIGINAL, 2605, 2606, 2607, 2608
    TAYLORPRINTORDER, 2609
    TR_LIE, 2610
    TRA, 2611
    TRCOMPACT, 2612
    TRFAC, 2613
    TRGROEB, 2614, 2615
    TRGROEB1, 2616, 2617
    TRGROEBR, 2618
    TRGROEBS, 2619, 2620
    TRIGFORM, 2621
    TRINT, 2622, 2623
    TRINTSUBST, 2624
    TRNUMERIC, 2625
    TRPLOT, 2626
    TRROOT, 2627
    TRSOLVE, 2628
    TRSUM, 2629
    TRWU, 2630
    UPPER_MATRIX, 2631
    VAROPT, 2632
    VERBOSELOAD, 2633
    ZB_FACTOR, 2634
    ZB_PROOF, 2635
    ZB_TRACE, 2636, 2637
switch ASSERT, 2638
switch ASSERTBREAK, 2639
switch ASSERTSTATISTICS, 2640
switch bcsimp (CALI), 2641
switch hardzerotest (CALI), 2642
switch lexefgb (CALI), 2643, 2644
switch Noetherian (CALI), 2645
Switches by package
    REDUCE Core
        ADJPREC, 2646
        ALLBRANCH, 2647
        ALLFAC, 2648, 2649, 2650
        ALLOWDFINT, 2651
        ARBVARS, 2652
        BALANCED_MOD, 2653, 2654
        BEZOUT, 2655
        BFSPACE, 2656
        COMBINEEXPT, 2657
        COMBINELOGS, 2658
        COMMUTEDF, 2659
        COMP, 2660
        COMPLEX, 2661, 2662
        CRAMER, 2663, 2664
        CREF, 2665
        DEFN, 2666, 2667, 2668
        DFINT, 2669
        DFPRINT, 2670
        DISPJACOBIAN, 2671
        DIV, 2672, 2673
        ECHO, 2674
        ERRCONT, 2675
        EVALLHSEQP, 2676
        EXP, 2677, 2678
        EXPANDDF, 2679
        EXPANDLOGS, 2680
        EZGCD, 2681
        FACTOR, 2682, 2683
        FAILHARD, 2684
        FORT, 2685
        FORTUPPER, 2686
        FULLROOTS, 2687
        GCD, 2688
        HEUGCD, 2689
        HORNER, 2690
        IFACTOR, 2691
        INTSTR, 2692
        LIST, 2693
        LISTARGS, 2694
        MCD, 2695, 2696
        MODULAR, 2697, 2698, 2699
        MSG, 2700
        MULTIPLICITIES, 2701
        NAT, 2702, 2703
        NERO, 2704
        NOCOMMUTEDF, 2705
        NOCONVERT, 2706
        NOINTSUBST, 2707
        NOLNR, 2708
        NOSPLIT, 2709
        OUTPUT, 2710
        PERIOD, 2711
        PLOTKEEP, 2712
        PRECISE, 2713, 2714
        PRECISE_COMPLEX, 2715
        PRET, 2716, 2717
        PRI, 2718
        RAT, 2719
        RATARG, 2720, 2721
        RATIONAL, 2722
        RATIONALIZE, 2723
        RATPRI, 2724
        REVPRI, 2725
        ROUNDALL, 2726
        ROUNDBF, 2727
        ROUNDED, 2728, 2729, 2730, 2731, 2732
        savesfs, 2733
        SAVESTRUCTR, 2734
        SIMPNONCOMDF, 2735
        SOLVESINGULAR, 2736
        TRFAC, 2737
        TRIGFORM, 2738
        TRINT, 2739
        TRINTSUBST, 2740
        VAROPT, 2741
    ALGINT package
        ALGINT, 2742
        TRA, 2743
        TRINT, 2744
    CALI package
        binomial, 2745
        lazy, 2746
        Noetherian, 2747, 2748
    CANTENS package
        ONESPACE, 2749, 2750, 2751
    CDE package
        CHECKORD, 2752
    COMPACT package
        TRCOMPACT, 2753
    EXCALC package
        NOSUM, 2754
    GNUPLOT package
        TRPLOT, 2755
    GROEBNER package
        GLTBASIS, 2756, 2757
        GROEBFULLREDUCTION, 2758, 2759
        GROEBOPT, 2760, 2761, 2762
        GROEBPROT, 2763
        GROEBSTAT, 2764, 2765
        TRGROEB, 2766, 2767
        TRGROEB1, 2768, 2769
        TRGROEBR, 2770
        TRGROEBS, 2771, 2772
    LAPLACE package
        LHYP, 2773
        LMON, 2774
        LTRIG, 2775
    LIE package
        TR_LIE, 2776
    LINALG package
        FAST_LA, 2777
        FASTSIMPLEX, 2778
        IMAGINARY, 2779
        LOWER_MATRIX, 2780
        NOT_NEGATIVE, 2781
        ONLY_INTEGER, 2782
        SYMMETRIC, 2783
        UPPER_MATRIX, 2784
    NORMFORM package
        LOOKING_GOOD, 2785
    NUMERIC package
        TRNUMERIC, 2786
    PHYSOP package
        ANTICOM, 2787
    QSUM package
        QGOSPER_DOWN, 2788, 2789
        QGOSPER_SPECIALSOL, 2790
        QSUM_NULLSPACE, 2791, 2792
        QSUM_TRACE, 2793
        QSUMRECURSION_CERTIFICATE, 2794, 2795
        QSUMRECURSION_DOWN, 2796
        QSUMRECURSION_EXP, 2797
    ROOTS package
        MULTIROOT, 2798
        RATROOT, 2799
        ROOTMSG, 2800
        TRROOT, 2801
    RSOLVE package
        TRSOLVE, 2802
    RTRACE package
        RTRACE, 2803, 2804
    SPARSE package
        FAST_LA, 2805
    SUM package
        TRSUM, 2806
    TAYLOR package
        TAYLORAUTOCOMBINE, 2807
        TAYLORAUTOEXPAND, 2808, 2809
        TAYLORKEEPORIGINAL, 2810, 2811, 2812, 2813
        TAYLORPRINTORDER, 2814
        VERBOSELOAD, 2815
    TPS package
        PSPRINTORDER, 2816
    WU package
        TRWU, 2817
    ZEILBERG package
        ZB_FACTOR, 2818
        ZB_PROOF, 2819
        ZB_TRACE, 2820, 2821
sym, 2822
sym (CALI), 2823
sym!*, 2824
SYMBOLIC, 2825
Symbolic indices
    CANTENS package, 2826
Symbolic mode, 2827, 2828, 2829, 2830, 2831
Symbolic procedure, 2832
symbolic_power, 2833
symbolic_power!*, 2834
symmetric
    tensor, 2835
SYMMETRIC declaration, 2836, 2837
Symmetric operator, 2838
SYMMETRIC switch, 2839
SYMMETRICP predicate, 2840, 2841
Symmetries
    CANTENS package, 2842
SYMMETRIZE, 2843
SYMMETRY package, 2844
SYMMETRY package, 2845
SYMMETRYBASIS, 2846
SYMMETRYBASISPART, 2847
SYMTREE, 2848
SYMTREE declaration, 2849
systemprecision, 2850
syzygies, 2851
syzygies!*, 2852
syzygies1!*, 2853

T, 2854
T reserved variable, 2855
TAN, 2856, 2857
Tangent vector, 2858
tangentcone, 2859
TANH, 2860
TAYLOR operator, 2861
TAYLOR package, 2862
Taylor series, 2863
    arithmetic, 2864
    differentiation, 2865
    integration, 2866
    reversion, 2867
    substitution, 2868
TAYLORAUTOCOMBINE switch, 2869
TAYLORAUTOEXPAND switch, 2870, 2871
TAYLORCOMBINE operator, 2872, 2873
TAYLORKEEPORIGINAL switch, 2874, 2875, 2876, 2877
TAYLORORIGINAL operator, 2878, 2879
TAYLORPRINTORDER switch, 2880
TAYLORPRINTTERMS variable, 2881, 2882
TAYLORREVERT operator, 2883, 2884
TAYLORSERIESP operator, 2885
TAYLORTEMPLATE operator, 2886, 2887
TAYLORTOSTANDARD operator, 2888
TENSOP, 2889
TENSOR, 2890
Tensor contractions
    CANTENS package, 2891
Tensor derivatives
    CANTENS package, 2892
Tensor polynomial
    CANTENS package, 2893
term (CALI), 2894
Terminator, statement, 2895
THIRD operator, 2896
ThreejSymbol, 2897
TIME, 2898
TOEPLITZ operator, 2899
torder, 2900, 2901, 2902, 2903, 2904
TORDER operator, 2905
TOTAL, 2906
TOTAL_ORDER global variable (CDE), 2907
TOTALDEG, 2908
TP, 2909
TPS package, 2910
TR_LIE switch, 2911
TRA switch, 2912
TRACE, 2913
Trace
    CANTENS package, 2914
trace (CALI), 2915
Tracing
    EXCALC package, 2916
    GNUPLOT package, 2917
    ROOTS package, 2918
    SPDE package, 2919
    SUM package, 2920
tracing (CALI), 2921
TRCOMPACT switch, 2922
TRFAC switch, 2923
TRGROEB switch, 2924, 2925
TRGROEB1 switch, 2926, 2927
TRGROEBR switch, 2928
TRGROEBS switch, 2929, 2930
TRI package, 2931
triang (CALI), 2932
TRIANG_ADJOINT operator, 2933
triangular systems (CALI), 2934, 2935, 2936
trig functions, 2937
TRIGD package, 2938
TRIGFORM switch, 2939
TRIGINT package, 2940
TRIGONOMETRIC_BASE, 2941
TRIGSIMP, 2942
TRIGSIMP package, 2943, 2944
TRINT switch, 2945, 2946
TRINTSUBST switch, 2947
TRNUMERIC switch, 2948
TRPLOT switch, 2949
TRRL command, 2950
TRRLID command, 2951
TRROOT switch, 2952
TRSOLVE switch, 2953
TRSUM switch, 2954
TRWU switch, 2955
TRXIDEAL switch, 2956
TRXMOD switch, 2957
TURTLE package, 2958
TURTLE package, 2959
TVECTOR command, 2960, 2961

U(ALFA), 2962
U(ALFA,I), 2963
Unary prefix operator, 2964
UNION, 2965
UNIT, 2966
unmixedradical, 2967
unmixedradical!*, 2968
UNRTR command, 2969
UNRTRST command, 2970
UNSET statement, 2971, 2972
Unset Statement, 2973
UNTIL, 2974
UNTRRL command, 2975
UNTRRLID command, 2976
UP_QRATIO operator, 2977
UPPER_MATRIX switch, 2978
UPWARD_ANTIDIFFERENCE, 2979
User packages, 2980

VANDERMONDE operator, 2981
VARDF, 2982
VARDF (variational derivative) operator), 2983
Variable, 2984
    double tilde, 2985
Variable elimination, 2986
Variational derivative, 2987
varlessp (CALI), 2988
VARNAME, 2989, 2990
varnames (CALI), 2991
varopt, 2992
VAROPT switch, 2993
varopt!*, 2994
VDF, 2995
VEC command, 2996
VECDIM, 2997
VECOP, 2998
VECTOR, 2999
Vector
    addition, 3000
    cross product, 3001
    differentiation, 3002
    division, 3003
    dot product, 3004
    exponentiation, 3005
    inner product, 3006
    integration, 3007
    modulus, 3008
    multiplication, 3009
    subtraction, 3010
Vector algebra, 3011
VECTORADD, 3012
VECTORCROSS, 3013
VECTORDIFFERENCE, 3014
VECTOREXPT, 3015
VECTORMINUS, 3016
VECTORPLUS, 3017
VECTORQUOTIENT, 3018
VECTORRECIP, 3019
VECTORTIMES, 3020
VERBOSELOAD switch, 3021
VINT, 3022
VMOD, 3023
VMOD operator, 3024
VOLINT, 3025
VOLINTEGRAL function, 3026
VOLINTORDER vector, 3027
VORDER, 3028
VOUT, 3029
VSTART, 3030
VTAYLOR, 3031

Warnings
    TAYLOR package, 3032
Wedge, 3033
WEIGHT, 3034
weighted Hilbert series (CALI), 3035, 3036
Weighted ordering, 3037
WeightedHilbertSeries, 3038
WeightedHilbertSeries (CALI), 3039
WeightedHilbertSeries!*, 3040
WHEN, 3041
WHERE, 3042
WHILE, 3043, 3044, 3045, 3046
WHILE statement, 3047
Whittaker functions, 3048, 3049, 3050
WhittakerM, 3051, 3052
WhittakerW, 3053, 3054
wholespace, 3055, 3056, 3057, 3058, 3059, 3060
WHOLESPACE_DIM, 3061, 3062
Workspace, 3063
WRITE, 3064
WS, 3065, 3066
WTLEVEL, 3067
WU package, 3068

X(I), 3069
XAUTO, 3070
XCOLOR package, 3071
XFULLREDUCE switch, 3072
XI(I), 3073
XIDEAL, 3074
XIDEAL package, 3075
XMOD, 3076
XMODIDEAL, 3077
XORDER, 3078
XPND
    XPND
        @, 3079
XPND
    @, 3080
    D, 3081
XPND command, 3082
XVARS, 3083

ZB_DIRECTION variable, 3084
ZB_FACTOR switch, 3085
ZB_ORDER variable, 3086
ZB_PROOF switch, 3087
ZB_TRACE switch, 3088, 3089
ZEILBERG package, 3090
ZEILBERGER_REPRESENTATION variable, 3091
zeroprimarydecomposition, 3092
zeroprimarydecomposition!*, 3093
zeroprimes, 3094
zeroprimes!*, 3095
zeroradical, 3096
zeroradical!*, 3097
zerosolve
    * (CALI), 3098, 3099
zerosolve, 3100
zerosolve (CALI), 3101
zerosolve1
    * (CALI), 3102, 3103
zerosolve1, 3104
zerosolve1 (CALI), 3105
zerosolve2
    * (CALI), 3106
zerosolve2, 3107
zeta, 3108, 3109
Zeta function, 3110
Zeta function of Jacobi, 3111, 3112
ZETA(ALFA,I), 3113
ZTRANS, 3114
ZTRANS package, 3115