S

saturation operator
    GROEBNER package, 2818
save_cde_state operator
    CDE package, 2819
saveas statement, 2820
savemat operator
    CALI package, 2821
savesfs switch, 2822
savestructr switch, 2823
Saving an expression, 2824
sbk Turtle function, 2825
Scalar, 2826, 2827
scalar, 2828, 2829
Scalar variable, 2830
scalefactors operator
    AVECTOR package, 2831
scalop declaration
    PHYSOP package, 2832
scalvect operator
    ASSIST package, 2833
Schöbel, Carsten, 2834
Schöbel, Franziska, 2835
Schöpf, Rainer, 2836
schouten_bracket operator
    CDE package, 2837
Schrüfer, Eberhard, 2838, 2839
Schruefer, Eberhard, 2840, 2841
Schwarz, Fritz, 2842
scientific_notation declaration, 2843
SCOPE package, 2844
sder(i) operator
    SPDE package, 2845
sec numerical operator, 2846
secd numerical operator, 2847
sech numerical operator, 2848
second operator, 2849
select operator, 2850
Selector, 2851
selectvars operator
    CDE package, 2852
selfconjugate declaration, 2853, 2854
Semicolon, 2855
semilinear operator
    EDS package, 2856
sequences operator
    ASSIST package, 2857
Set Statement, 2858
set statement, 2859, 2860
set_distribution_rule variable
    SETS package, 2861
set_coframing operator
    EDS package, 2862
set_eq operator
    SETS package, 2863
setavailable operator
    SYMMETRY package, 2864
setback Turtle function, 2865
setcaliprintterms operator
    CALI package, 2866
setcalitrace
    CALI package, 2867
setcalitrace operator
    CALI package, 2868
setdegrees operator
    CALI package, 2869, 2870
setdiff operator
    SETS package, 2871
setelements operator
    SYMMETRY package, 2872
setelmat operator
    ASSIST package, 2873
setforward Turtle function, 2874
setgbasis
    CALI package, 2875
setgbasis operator
    CALI package, 2876
setgenerators operator
    SYMMETRY package, 2877
setgrouptable operator
    SYMMETRY package, 2878
setheading Turtle function, 2879
setheadingtowards Turtle function, 2880
setideal operator
    CALI package, 2881, 2882
setkorder function
    CALI package, 2883
setmod, 2884
setmodule operator
    CALI package, 2885, 2886
setmonset operator
    CALI package, 2887
setmonset!* symbolic procedure
    CALI package, 2888
setp operator
    ASSIST package, 2889
setposition Turtle function, 2890
setring
    CALI package, 2891, 2892
setring command
    CALI package, 2893
setring operator
    CALI package, 2894
setring procedure
    CALI package, 2895
setring!* symbolic procedure
    CALI package, 2896
setrules operator
    CALI package, 2897, 2898, 2899
setrules symbol
    CALI package, 2900
setrules!* symbolic procedure
    CALI package, 2901
SETS package, 2902
setx Turtle function, 2903
sety Turtle function, 2904
sfwd Turtle function, 2905
sgn
    indeterminate sign, 2906
sh Turtle function, 2907
share declaration, 2908
Shi (hyperbolic sine integral) operator, 2909, 2910
show operator
    ASSIST package, 2911
show_dummy_names command
    DUMMY package, 2912
show_epsilons operator
    CANTENS package, 2913, 2914, 2915
show_spaces operator
    CANTENS package, 2916, 2917, 2918
showproc operator
    RANDPOLY package, 2919
showrules operator, 2920
SHOWTIME command, 2921
shto Turtle function, 2922
shut command, 2923
Si (sine integral) operator, 2924, 2925
Side effect, 2926
sieve operator
    CALI package, 2927
Sigma functions, 2928, 2929, 2930, 2931
sign operator, 2932, 2933
Signature
    CANTENS package, 2934
    Cantens package, 2935, 2936, 2937
signature command
    CANTENS package, 2938, 2939, 2940
    EXCALC package, 2941
signature identifier
    CANTENS package, 2942
SimpleDE operator
    FPS package, 2943
simplex operator
    LINALG package, 2944
Simplification, 2945, 2946, 2947
simplify_combinatorial operator
    ZEILBERG package, 2948
simplify_gamma operator
    ZEILBERG package, 2949
simplify_gamma2 operator
    ZEILBERG package, 2950
simplify_gamman operator
    ZEILBERG package, 2951
simpnoncomdf switch, 2952
simpsys operator
    SPDE package, 2953, 2954, 2955
sin numerical operator, 2956
sind numerical operator, 2957
singular_locus operator
    CALI package, 2958, 2959
singular_locus!* symbolic procedure
    CALI package, 2960
sinh numerical operator, 2961
SixjSymbol operator, 2962
slt Turtle function, 2963
smacro reserved identifier, 2964
smithex operator
    NORMFORM package, 2965
smithex_int operator
    NORMFORM package, 2966
SolidHarmonicY, 2967
SolidHarmonicY operator, 2968
solve operator, 2969, 2970, 2971, 2972
    assumptions variable, 2973
    requirements shared variable, 2974
    root_multiplicities global variable, 2975
    use of GROEBNER package, 2976
solvesingular switch, 2977
Solving inequalities, 2978
Sonin polynomials, 2979
sort lisp function, 2980
sortlist operator
    ASSIST package, 2981
sortnumlist operator
    ASSIST package, 2982
space, 2983
spacedim command, 2984
    EXCALC package, 2985, 2986
Spaces
    CANTENS package, 2987
    Cantens package, 2988, 2989
spaces, 2990, 2991, 2992, 2993
spadd_to_columns operator
    SPARSE package, 2994
spadd_to_rows operator
    SPARSE package, 2995
spadd_columns operator
    SPARSE package, 2996
spadd_rows operator
    SPARSE package, 2997
sparse declaration
    SPARSE package, 2998
SPARSE package, 2999
sparsematp predicate
    SPARSE package, 3000
spaugment_columns operator
    SPARSE package, 3001
spband_matrix operator
    SPARSE package, 3002
spblock_matrix operator
    SPARSE package, 3003
spchar_matrix operator
    SPARSE package, 3004
spchar_poly operator
    SPARSE package, 3005
spcholesky operator
    SPARSE package, 3006
spcoeff_matrix operator
    SPARSE package, 3007
spcol_dim operator
    SPARSE package, 3008
spcompanion operator
    SPARSE package, 3009
spcopy_into operator
    SPARSE package, 3010
SPDE package, 3011
spdiagonal operator
    SPARSE package, 3012
SPECFN package, 3013
SPECFN2 package, 3014
Special functions, 3015, 3016
species shared variable
    REACTEQN package, 3017
spextend operator
    SPARSE package, 3018
spfind_companion operator
    SPARSE package, 3019
spget_columns operator
    SPARSE package, 3020
spget_rows operator
    SPARSE package, 3021
spgram_schmidt operator
    SPARSE package, 3022
Spherical and Solid Harmonics, 3023, 3024, 3025
Spherical coordinates, 3026
    ORTHOVEC package, 3027
SphericalHarmonicY, 3028
SphericalHarmonicY operator, 3029
sphermitian_tp operator
    SPARSE package, 3030
sphessian operator
    SPARSE package, 3031
Spinor
    CANTENS package, 3032
Spiridonova, M., 3033
spjacobian operator
    SPARSE package, 3034
spjordan_block operator
    SPARSE package, 3035
split operator
    ASSIST package, 3036
split_field function
    ARNUM package, 3037
splitext_list operator
    CDE package, 3038
splitext_opequ operator
    CDE package, 3039
splitplusminus operator
    ASSIST package, 3040
splitterms operator
    ASSIST package, 3041
splitvars_opequ operator
    CDE package, 3042
splu_decom operator
    SPARSE package, 3043
spmake_identity operator
    SPARSE package, 3044
spmatrix_augment operator
    SPARSE package, 3045
spmatrix_stack operator
    SPARSE package, 3046
spminor operator
    SPARSE package, 3047
spmult_columns operator
    SPARSE package, 3048
spmult_rows operator
    SPARSE package, 3049
spn Turtle function, 3050
sppivot operator
    SPARSE package, 3051
sppseudo_inverse operator
    SPARSE package, 3052
spremove_columns operator
    SPARSE package, 3053
spremove_rows operator
    SPARSE package, 3054
sprow_dim operator
    SPARSE package, 3055
sprows_pivot operator
    SPARSE package, 3056
spstack_rows operator
    SPARSE package, 3057
spsub_matrix operator
    SPARSE package, 3058
spsvd operator
    SPARSE package, 3059
spswap_columns operator
    SPARSE package, 3060
spswap_entries operator
    SPARSE package, 3061
spswap_rows operator
    SPARSE package, 3062
spur declaration, 3063
sqfrf, 3064
sqrt numerical operator, 3065
squarep predicate
    LINALG package, 3066
    SPARSE package, 3067
srt Turtle function, 3068
SSTOOLS package, 3069
stable quotient
    CALI package, 3070
stack_rows operator
    LINALG package, 3071
Standard form, 3072
Standard quotient, 3073
Startup file, 3074, 3075
state declaration
    PHYSOP package, 3076
Statement, 3077
    assignment, 3078
    compound, 3079
    conditional, 3080
    for, 3081
    for each, 3082
    go to, 3083
    Group, 3084, 3085
    repeat, 3086
    return, 3087
    saveas, 3088
    Set, 3089
    Unset, 3090
    while, 3091
Statement terminator, 3092
Stirling numbers, 3093, 3094, 3095
Stirling1, 3096
Stirling1 operator, 3097
Stirling2, 3098
Stirling2 operator, 3099
storegroup operator
    SYMMETRY package, 3100
String, 3101
STRUCTR operator, 3102
structure_equations operator
    EDS package, 3103
Structuring, 3104
Struve functions, 3105, 3106, 3107
StruveH operator, 3108
    SPECFN package, 3109
StruveH transform, 3110
struveh_transform operator, 3111
StruveL operator, 3112
    SPECFN package, 3113
Sturm Sequences, 3114
Sturm, Thomas, 3115, 3116, 3117, 3118, 3119, 3120
sub operator, 3121, 3122
sub_matrix operator
    LINALG package, 3123
sublist symbol
    CALI package, 3124
submat operator
    ASSIST package, 3125
submodulep operator
    CALI package, 3126
submodulep!* symbolic procedure
    CALI package, 3127
subset (ideal inclusion test) infix operator
    IDEALS package, 3128
subset operator
    SETS package, 3129
subset_eq operator
    SETS package, 3130
Subspaces
    Cantens package, 3131
subspaces, 3132
substitute operator
    ASSIST package, 3133
Substitution, 3134
such that, 3135
sum keyword, 3136
sum operator
    SUM package, 3137
SUM package, 3138
sum!-sq operator
    SUM package, 3139
sumrecursion operator
    ZEILBERG package, 3140
sumtohyper operator
    ZEILBERG package, 3141
sumvect operator
    ASSIST package, 3142
super_product operator
    CDE package, 3143
super_vectorfield operator
    CDIff package, 3144
suppress operator
    ASSIST package, 3145
SUSY2 package, 3146
svd operator
    LINALG package, 3147
svec procedure
    ORTHOVEC package, 3148
swap_columns operator
    LINALG package, 3149
swap_entries operator
    LINALG package, 3150
swap_rows operator
    LINALG package, 3151
Switch, 3152, 3153
    adjprec, 3154
    algint, 3155
    allbranch, 3156
    allfac, 3157, 3158, 3159, 3160
    allowdfint, 3161
    anticom, 3162
    arbvars, 3163
    balanced_mod, 3164, 3165
    bcsimp, 3166, 3167
    bezout, 3168
    bfspace, 3169
    checkord, 3170
    combineexpt, 3171
    combinelogs, 3172
    commutedf, 3173
    comp, 3174
    complex, 3175, 3176, 3177, 3178
    contract, 3179
    cramer, 3180, 3181
    cref, 3182, 3183
    defn, 3184, 3185, 3186
    demo, 3187
    detectunits, 3188, 3189
    dfint, 3190
    dfprint, 3191
    dispjacobian, 3192
    distribute, 3193, 3194
    div, 3195, 3196
    echo, 3197
    errcont, 3198
    evallhseqp, 3199
    exdelt, 3200, 3201
    exp, 3202, 3203, 3204
    expanddf, 3205
    expandlogs, 3206
    ezgcd, 3207
    factor, 3208, 3209
    factorprimes, 3210
    factorunits, 3211, 3212
    failhard, 3213
    fast_la, 3214
    fastsimplex, 3215
    fort, 3216
    fortupper, 3217
    fullroots, 3218
    gcd, 3219, 3220
    gltbasis, 3221, 3222
    glterms, 3223
    groebfullreduction, 3224, 3225
    groebopt, 3226, 3227, 3228
    groebprot, 3229
    groebstat, 3230, 3231
    hardzerotest, 3232
    heugcd, 3233
    horner, 3234
    ifactor, 3235
    imaginary, 3236
    int, 3237
    intstr, 3238
    lasimp, 3239
    latex, 3240
    lcm, 3241
    lexefgb, 3242, 3243, 3244
    lhyp, 3245
    list, 3246
    listargs, 3247
    lmon, 3248
    lower_matrix, 3249
    ltrig, 3250
    mcd, 3251, 3252
    modular, 3253, 3254, 3255
    msg, 3256
    multiplicities, 3257
    multiroot, 3258
    nat, 3259, 3260
    nero, 3261
    nocommutedf, 3262
    noconvert, 3263
    noerrsimplex, 3264
    Noetherian, 3265, 3266, 3267, 3268
    nointsubst, 3269
    nolnr, 3270
    nosplit, 3271
    nosum, 3272
    not_negative, 3273
    odesolve_basis, 3274
    odesolve_check, 3275
    odesolve_expand, 3276
    odesolve_explicit, 3277
    odesolve_fast, 3278
    odesolve_full, 3279
    odesolve_implicit, 3280
    odesolve_noint, 3281
    odesolve_verbose, 3282
    onespace, 3283, 3284, 3285, 3286
    only_integer, 3287
    output, 3288
    overview, 3289
    period, 3290
    pgwd, 3291
    plap, 3292
    plotkeep, 3293
    precise, 3294, 3295
    precise_complex, 3296
    pret, 3297, 3298
    pri, 3299
    psprintorder, 3300
    pwrds, 3301
    qgosper_down, 3302, 3303
    qgosper_specialsol, 3304
    qsum_nullspace, 3305, 3306
    qsum_trace, 3307
    qsumrecursion_certificate, 3308, 3309
    qsumrecursion_down, 3310
    qsumrecursion_exp, 3311
    rat, 3312
    ratarg, 3313, 3314
    rational, 3315
    rationalize, 3316
    ratpri, 3317
    ratroot, 3318
    red_total, 3319, 3320
    revpri, 3321
    rootmsg, 3322
    roundall, 3323
    roundbf, 3324
    rounded, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 3332, 3333
    rtrace, 3334, 3335
    savesfs, 3336
    savestructr, 3337
    simpnoncomdf, 3338
    solvesingular, 3339
    symantic, 3340
    symmetric, 3341
    sysm!-assoc, 3342
    taylorautocombine, 3343
    taylorautoexpand, 3344, 3345
    taylorkeeporiginal, 3346, 3347, 3348, 3349
    taylorprintorder, 3350
    time, 3351, 3352
    tr_lie, 3353
    tra, 3354
    traceratint, 3355
    tracetrig, 3356
    trcompact, 3357
    trdefint, 3358
    trfac, 3359
    trgroeb, 3360, 3361
    trgroeb1, 3362, 3363
    trgroebr, 3364
    trgroebs, 3365, 3366
    trigform, 3367
    trint, 3368, 3369
    trintsubst, 3370
    trnumeric, 3371
    trode, 3372
    trplot, 3373
    trpm, 3374
    trroot, 3375
    trsolve, 3376
    trsum, 3377
    trwu, 3378
    trxideal, 3379
    trxmod, 3380
    upper_matrix, 3381
    varopt, 3382, 3383
    verbatim, 3384
    verboseload, 3385
    xfullreduce, 3386
    zb_factor, 3387
    zb_proof, 3388
    zb_trace, 3389, 3390
switch hardzerotest
    CALI package, 3391
switch lexefgb
    CALI package, 3392
Switches by package
    REDUCE Core
        adjprec, 3393
        allbranch, 3394
        allfac, 3395, 3396, 3397, 3398
        allowdfint, 3399
        arbvars, 3400
        balanced_mod, 3401, 3402
        bezout, 3403
        bfspace, 3404
        combineexpt, 3405
        combinelogs, 3406
        commutedf, 3407
        comp, 3408
        complex, 3409, 3410, 3411, 3412
        cramer, 3413, 3414
        cref, 3415, 3416
        defn, 3417, 3418, 3419
        demo, 3420
        dfint, 3421
        dfprint, 3422
        dispjacobian, 3423
        div, 3424, 3425
        echo, 3426
        errcont, 3427
        evallhseqp, 3428
        exp, 3429, 3430, 3431
        expanddf, 3432
        expandlogs, 3433
        ezgcd, 3434
        factor, 3435, 3436
        failhard, 3437
        fort, 3438
        fortupper, 3439
        fullroots, 3440
        gcd, 3441, 3442
        heugcd, 3443
        horner, 3444
        ifactor, 3445
        int, 3446
        intstr, 3447
        lcm, 3448
        list, 3449
        listargs, 3450
        mcd, 3451, 3452
        modular, 3453, 3454, 3455
        msg, 3456
        multiplicities, 3457
        nat, 3458, 3459
        nero, 3460
        nocommutedf, 3461
        noconvert, 3462
        nointsubst, 3463
        nolnr, 3464
        nosplit, 3465
        output, 3466
        overview, 3467
        period, 3468
        pgwd, 3469
        plap, 3470
        precise, 3471, 3472
        precise_complex, 3473
        pret, 3474, 3475
        pri, 3476
        pwrds, 3477
        rat, 3478
        ratarg, 3479, 3480
        rational, 3481
        rationalize, 3482
        ratpri, 3483
        revpri, 3484
        roundall, 3485
        roundbf, 3486
        rounded, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3494, 3495
        savesfs, 3496
        savestructr, 3497
        simpnoncomdf, 3498
        solvesingular, 3499
        time, 3500, 3501
        trcompact, 3502
        trdefint, 3503
        trfac, 3504
        trigform, 3505
        trint, 3506
        trintsubst, 3507
        varopt, 3508, 3509
    ALGINT package
        algint, 3510
        tra, 3511
        trint, 3512
    ASSIST package
        distribute, 3513, 3514
    CALI package
        bcsimp, 3515, 3516
        detectunits, 3517, 3518
        factorprimes, 3519
        factorunits, 3520, 3521
        hardzerotest, 3522
        lexefgb, 3523, 3524, 3525
        Noetherian, 3526, 3527, 3528, 3529
        red_total, 3530, 3531
    CANTENS package
        exdelt, 3532, 3533
        onespace, 3534, 3535, 3536, 3537
    CDE package
        checkord, 3538
    EXCALC package
        nosum, 3539
    GNUPLOT package
        plotkeep, 3540
        trplot, 3541
    GROEBNER package
        gltbasis, 3542, 3543
        glterms, 3544
        groebfullreduction, 3545, 3546
        groebopt, 3547, 3548, 3549
        groebprot, 3550
        groebstat, 3551, 3552
        trgroeb, 3553, 3554
        trgroeb1, 3555, 3556
        trgroebr, 3557
        trgroebs, 3558, 3559
    LAPLACE package
        lhyp, 3560
        lmon, 3561
        ltrig, 3562
    LIE package
        tr_lie, 3563
    LINALG package
        fastsimplex, 3564
        imaginary, 3565
        lower_matrix, 3566
        noerrsimplex, 3567
        not_negative, 3568
        only_integer, 3569
        symmetric, 3570
        upper_matrix, 3571
    NUMERIC package
        trnumeric, 3572
    ODESOLVE package
        odesolve_basis, 3573
        odesolve_check, 3574
        odesolve_expand, 3575
        odesolve_explicit, 3576
        odesolve_fast, 3577
        odesolve_full, 3578
        odesolve_implicit, 3579
        odesolve_noint, 3580
        odesolve_verbose, 3581
        trode, 3582
    PHYSOP package
        anticom, 3583
        contract, 3584
    PM package
        symantic, 3585
        sysm!-assoc, 3586
        trpm, 3587
    QSUM package
        qgosper_down, 3588, 3589
        qgosper_specialsol, 3590
        qsum_nullspace, 3591, 3592
        qsum_trace, 3593
        qsumrecursion_certificate, 3594, 3595
        qsumrecursion_down, 3596
        qsumrecursion_exp, 3597
    RATINT package
        traceratint, 3598
    RLfi package
        lasimp, 3599
        latex, 3600
        verbatim, 3601
    ROOTS package
        multiroot, 3602
        ratroot, 3603
        rootmsg, 3604
        trroot, 3605
    RSOLVE package
        trsolve, 3606
    RTRACE package
        rtrace, 3607, 3608
    SPARSE package
        fast_la, 3609
    SUM package
        trsum, 3610
    TAYLOR package
        taylorautocombine, 3611
        taylorautoexpand, 3612, 3613
        taylorkeeporiginal, 3614, 3615, 3616, 3617
        taylorprintorder, 3618
        verboseload, 3619
    TPS package
        psprintorder, 3620
    TRIGINT package
        tracetrig, 3621
    WU package
        trwu, 3622
    XIDEAL package
        trxideal, 3623
        trxmod, 3624
        xfullreduce, 3625
    ZEILBERG package
        zb_factor, 3626
        zb_proof, 3627
        zb_trace, 3628, 3629
switches operator
    ASSIST package, 3630
switchorg operator
    ASSIST package, 3631
sx Turtle function, 3632
sy Turtle function, 3633
sym
    CALI package, 3634
sym operator
    CALI package, 3635
sym!* symbolic procedure
    CALI package, 3636
symantic switch, 3637
symb_to_alg operator
    ASSIST package, 3638
symbol_matrix operator
    EDS package, 3639
symbol_relations operator
    EDS package, 3640
symbolic, 3641
Symbolic indices
    Cantens package, 3642
Symbolic mode, 3643, 3644, 3645, 3646, 3647
    assignment, 3648
Symbolic procedure, 3649
symbolic_power operator
    CALI package, 3650
symbolic_power!* symbolic procedure
    CALI package, 3651
symdiff operator
    ASSIST package, 3652
symmetric
    tensor, 3653
symmetric declaration, 3654
    CANTENS package, 3655
Symmetric Elliptic Integrals, 3656
Symmetric operator, 3657
symmetric switch, 3658
symmetricp predicate
    LINALG package, 3659
    SPARSE package, 3660
Symmetries
    Cantens package, 3661
symmetrize operator
    ASSIST package, 3662
    CANTENS package, 3663
SYMMETRY package, 3664
symmetrybasis operator
    SYMMETRY package, 3665
symmetrybasispart operator
    SYMMETRY package, 3666
symtree command
    DUMMY package, 3667
symtree declaration
    CANTENS package, 3668
sysm!-assoc switch, 3669
system command, 3670
system operator
    EDS package, 3671
system precision, 3672, 3673
syzygies operator
    CALI package, 3674
syzygies!* symbolic procedure
    CALI package, 3675
syzygies1!* symbolic procedure
    CALI package, 3676