S

saturation operator
    GROEBNER package, 2816
save_cde_state operator
    CDE package, 2817
saveas statement, 2818
savemat operator
    CALI package, 2819
savesfs switch, 2820
savestructr switch, 2821
Saving an expression, 2822
sbk Turtle function, 2823
Scalar, 2824, 2825
scalar, 2826, 2827
Scalar variable, 2828
scalefactors operator
    AVECTOR package, 2829
scalop declaration
    PHYSOP package, 2830
scalvect operator
    ASSIST package, 2831
Schöbel, Carsten, 2832
Schöbel, Franziska, 2833
Schöpf, Rainer, 2834
schouten_bracket operator
    CDE package, 2835
Schrüfer, Eberhard, 2836, 2837
Schruefer, Eberhard, 2838, 2839
Schwarz, Fritz, 2840
scientific_notation declaration, 2841
SCOPE package, 2842
sder(i) operator
    SPDE package, 2843
sec numerical operator, 2844
secd numerical operator, 2845
sech numerical operator, 2846
second operator, 2847
select operator, 2848
Selector, 2849
selectvars operator
    CDE package, 2850
selfconjugate declaration, 2851, 2852
Semicolon, 2853
semilinear operator
    EDS package, 2854
sequences operator
    ASSIST package, 2855
Set Statement, 2856
set statement, 2857, 2858
set_distribution_rule variable
    SETS package, 2859
set_coframing operator
    EDS package, 2860
set_eq operator
    SETS package, 2861
setavailable operator
    SYMMETRY package, 2862
setback Turtle function, 2863
setcaliprintterms operator
    CALI package, 2864
setcalitrace
    CALI package, 2865
setcalitrace operator
    CALI package, 2866
setdegrees operator
    CALI package, 2867, 2868
setdiff operator
    SETS package, 2869
setelements operator
    SYMMETRY package, 2870
setelmat operator
    ASSIST package, 2871
setforward Turtle function, 2872
setgbasis
    CALI package, 2873
setgbasis operator
    CALI package, 2874
setgenerators operator
    SYMMETRY package, 2875
setgrouptable operator
    SYMMETRY package, 2876
setheading Turtle function, 2877
setheadingtowards Turtle function, 2878
setideal operator
    CALI package, 2879, 2880
setkorder function
    CALI package, 2881
setmod, 2882
setmodule operator
    CALI package, 2883, 2884
setmonset operator
    CALI package, 2885
setmonset!* symbolic procedure
    CALI package, 2886
setp operator
    ASSIST package, 2887
setposition Turtle function, 2888
setring
    CALI package, 2889, 2890
setring command
    CALI package, 2891
setring operator
    CALI package, 2892
setring procedure
    CALI package, 2893
setring!* symbolic procedure
    CALI package, 2894
setrules operator
    CALI package, 2895, 2896, 2897
setrules symbol
    CALI package, 2898
setrules!* symbolic procedure
    CALI package, 2899
SETS package, 2900
setx Turtle function, 2901
sety Turtle function, 2902
sfwd Turtle function, 2903
sgn
    indeterminate sign, 2904
sh Turtle function, 2905
share declaration, 2906
Shi (hyperbolic sine integral) operator, 2907, 2908
show operator
    ASSIST package, 2909
show_dummy_names command
    DUMMY package, 2910
show_epsilons operator
    CANTENS package, 2911, 2912, 2913
show_spaces operator
    CANTENS package, 2914, 2915, 2916
showproc operator
    RANDPOLY package, 2917
showrules operator, 2918
SHOWTIME command, 2919
shto Turtle function, 2920
shut command, 2921
Si (sine integral) operator, 2922, 2923
Side effect, 2924
sieve operator
    CALI package, 2925
Sigma functions, 2926, 2927, 2928, 2929
sign operator, 2930, 2931
Signature
    CANTENS package, 2932
    Cantens package, 2933, 2934, 2935
signature command
    CANTENS package, 2936, 2937, 2938
    EXCALC package, 2939
signature identifier
    CANTENS package, 2940
SimpleDE operator
    FPS package, 2941
simplex operator
    LINALG package, 2942
Simplification, 2943, 2944, 2945
simplify_combinatorial operator
    ZEILBERG package, 2946
simplify_gamma operator
    ZEILBERG package, 2947
simplify_gamma2 operator
    ZEILBERG package, 2948
simplify_gamman operator
    ZEILBERG package, 2949
simpnoncomdf switch, 2950
simpsys operator
    SPDE package, 2951, 2952, 2953
sin numerical operator, 2954
sind numerical operator, 2955
singular_locus operator
    CALI package, 2956, 2957
singular_locus!* symbolic procedure
    CALI package, 2958
sinh numerical operator, 2959
SixjSymbol operator, 2960
slt Turtle function, 2961
smacro reserved identifier, 2962
smithex operator
    NORMFORM package, 2963
smithex_int operator
    NORMFORM package, 2964
SolidHarmonicY, 2965
SolidHarmonicY operator, 2966
solve operator, 2967, 2968, 2969, 2970
    assumptions variable, 2971
    requirements shared variable, 2972
    root_multiplicities global variable, 2973
    use of GROEBNER package, 2974
solvesingular switch, 2975
Solving inequalities, 2976
Sonin polynomials, 2977
sort lisp function, 2978
sortlist operator
    ASSIST package, 2979
sortnumlist operator
    ASSIST package, 2980
space, 2981
spacedim command, 2982
    EXCALC package, 2983, 2984
Spaces
    CANTENS package, 2985
    Cantens package, 2986, 2987
spaces, 2988, 2989, 2990, 2991
spadd_to_columns operator
    SPARSE package, 2992
spadd_to_rows operator
    SPARSE package, 2993
spadd_columns operator
    SPARSE package, 2994
spadd_rows operator
    SPARSE package, 2995
sparse declaration
    SPARSE package, 2996
SPARSE package, 2997
sparsematp predicate
    SPARSE package, 2998
spaugment_columns operator
    SPARSE package, 2999
spband_matrix operator
    SPARSE package, 3000
spblock_matrix operator
    SPARSE package, 3001
spchar_matrix operator
    SPARSE package, 3002
spchar_poly operator
    SPARSE package, 3003
spcholesky operator
    SPARSE package, 3004
spcoeff_matrix operator
    SPARSE package, 3005
spcol_dim operator
    SPARSE package, 3006
spcompanion operator
    SPARSE package, 3007
spcopy_into operator
    SPARSE package, 3008
SPDE package, 3009
spdiagonal operator
    SPARSE package, 3010
SPECFN package, 3011
SPECFN2 package, 3012
Special functions, 3013, 3014
species shared variable
    REACTEQN package, 3015
spextend operator
    SPARSE package, 3016
spfind_companion operator
    SPARSE package, 3017
spget_columns operator
    SPARSE package, 3018
spget_rows operator
    SPARSE package, 3019
spgram_schmidt operator
    SPARSE package, 3020
Spherical and Solid Harmonics, 3021, 3022, 3023
Spherical coordinates, 3024
    ORTHOVEC package, 3025
SphericalHarmonicY, 3026
SphericalHarmonicY operator, 3027
sphermitian_tp operator
    SPARSE package, 3028
sphessian operator
    SPARSE package, 3029
Spinor
    CANTENS package, 3030
Spiridonova, M., 3031
spjacobian operator
    SPARSE package, 3032
spjordan_block operator
    SPARSE package, 3033
split operator
    ASSIST package, 3034
split_field function
    ARNUM package, 3035
splitext_list operator
    CDE package, 3036
splitext_opequ operator
    CDE package, 3037
splitplusminus operator
    ASSIST package, 3038
splitterms operator
    ASSIST package, 3039
splitvars_opequ operator
    CDE package, 3040
splu_decom operator
    SPARSE package, 3041
spmake_identity operator
    SPARSE package, 3042
spmatrix_augment operator
    SPARSE package, 3043
spmatrix_stack operator
    SPARSE package, 3044
spminor operator
    SPARSE package, 3045
spmult_columns operator
    SPARSE package, 3046
spmult_rows operator
    SPARSE package, 3047
spn Turtle function, 3048
sppivot operator
    SPARSE package, 3049
sppseudo_inverse operator
    SPARSE package, 3050
spremove_columns operator
    SPARSE package, 3051
spremove_rows operator
    SPARSE package, 3052
sprow_dim operator
    SPARSE package, 3053
sprows_pivot operator
    SPARSE package, 3054
spstack_rows operator
    SPARSE package, 3055
spsub_matrix operator
    SPARSE package, 3056
spsvd operator
    SPARSE package, 3057
spswap_columns operator
    SPARSE package, 3058
spswap_entries operator
    SPARSE package, 3059
spswap_rows operator
    SPARSE package, 3060
spur declaration, 3061
sqfrf, 3062
sqrt numerical operator, 3063
squarep predicate
    LINALG package, 3064
    SPARSE package, 3065
srt Turtle function, 3066
SSTOOLS package, 3067
stable quotient
    CALI package, 3068
stack_rows operator
    LINALG package, 3069
Standard form, 3070
Standard quotient, 3071
Startup file, 3072, 3073
state declaration
    PHYSOP package, 3074
Statement, 3075
    assignment, 3076
    compound, 3077
    conditional, 3078
    for, 3079
    for each, 3080
    go to, 3081
    Group, 3082, 3083
    repeat, 3084
    return, 3085
    saveas, 3086
    Set, 3087
    Unset, 3088
    while, 3089
Statement terminator, 3090
Stirling numbers, 3091, 3092, 3093
Stirling1, 3094
Stirling1 operator, 3095
Stirling2, 3096
Stirling2 operator, 3097
storegroup operator
    SYMMETRY package, 3098
String, 3099
STRUCTR operator, 3100
structure_equations operator
    EDS package, 3101
Structuring, 3102
Struve functions, 3103, 3104, 3105
StruveH operator, 3106
    SPECFN package, 3107
StruveH transform, 3108
struveh_transform operator, 3109
StruveL operator, 3110
    SPECFN package, 3111
Sturm Sequences, 3112
Sturm, Thomas, 3113, 3114, 3115, 3116, 3117, 3118
sub operator, 3119, 3120
sub_matrix operator
    LINALG package, 3121
sublist symbol
    CALI package, 3122
submat operator
    ASSIST package, 3123
submodulep operator
    CALI package, 3124
submodulep!* symbolic procedure
    CALI package, 3125
subset (ideal inclusion test) infix operator
    IDEALS package, 3126
subset operator
    SETS package, 3127
subset_eq operator
    SETS package, 3128
Subspaces
    Cantens package, 3129
subspaces, 3130
substitute operator
    ASSIST package, 3131
Substitution, 3132
such that, 3133
sum keyword, 3134
sum operator
    SUM package, 3135
SUM package, 3136
sum!-sq operator
    SUM package, 3137
sumrecursion operator
    ZEILBERG package, 3138
sumtohyper operator
    ZEILBERG package, 3139
sumvect operator
    ASSIST package, 3140
super_product operator
    CDE package, 3141
super_vectorfield operator
    CDIff package, 3142
suppress operator
    ASSIST package, 3143
SUSY2 package, 3144
svd operator
    LINALG package, 3145
svec procedure
    ORTHOVEC package, 3146
swap_columns operator
    LINALG package, 3147
swap_entries operator
    LINALG package, 3148
swap_rows operator
    LINALG package, 3149
Switch, 3150, 3151
    adjprec, 3152
    algint, 3153
    allbranch, 3154
    allfac, 3155, 3156, 3157, 3158
    allowdfint, 3159
    anticom, 3160
    arbvars, 3161
    balanced_mod, 3162, 3163
    bcsimp, 3164, 3165
    bezout, 3166
    bfspace, 3167
    checkord, 3168
    combineexpt, 3169
    combinelogs, 3170
    commutedf, 3171
    comp, 3172
    complex, 3173, 3174, 3175, 3176
    contract, 3177
    cramer, 3178, 3179
    cref, 3180, 3181
    defn, 3182, 3183, 3184
    demo, 3185
    detectunits, 3186, 3187
    dfint, 3188
    dfprint, 3189
    dispjacobian, 3190
    distribute, 3191, 3192
    div, 3193, 3194
    echo, 3195
    errcont, 3196
    evallhseqp, 3197
    exdelt, 3198, 3199
    exp, 3200, 3201, 3202
    expanddf, 3203
    expandlogs, 3204
    ezgcd, 3205
    factor, 3206, 3207
    factorprimes, 3208
    factorunits, 3209, 3210
    failhard, 3211
    fast_la, 3212
    fastsimplex, 3213
    fort, 3214
    fortupper, 3215
    fullroots, 3216
    gcd, 3217, 3218
    gltbasis, 3219, 3220
    glterms, 3221
    GNUPLOT, 3222
    groebfullreduction, 3223, 3224
    groebopt, 3225, 3226, 3227
    groebprot, 3228
    groebstat, 3229, 3230
    hardzerotest, 3231
    heugcd, 3232
    horner, 3233
    ifactor, 3234
    imaginary, 3235
    int, 3236
    intstr, 3237
    lasimp, 3238
    latex, 3239
    lcm, 3240
    lexefgb, 3241, 3242, 3243
    lhyp, 3244
    list, 3245
    listargs, 3246
    lmon, 3247
    lower_matrix, 3248
    ltrig, 3249
    mcd, 3250, 3251
    modular, 3252, 3253, 3254
    msg, 3255
    multiplicities, 3256
    multiroot, 3257
    nat, 3258, 3259
    nero, 3260
    nocommutedf, 3261
    noconvert, 3262
    Noetherian, 3263, 3264, 3265, 3266
    nointsubst, 3267
    nolnr, 3268
    nosplit, 3269
    nosum, 3270
    not_negative, 3271
    odesolve_basis, 3272
    odesolve_check, 3273
    odesolve_expand, 3274
    odesolve_explicit, 3275
    odesolve_fast, 3276
    odesolve_full, 3277
    odesolve_implicit, 3278
    odesolve_noint, 3279
    odesolve_verbose, 3280
    onespace, 3281, 3282, 3283, 3284
    only_integer, 3285
    output, 3286
    overview, 3287
    period, 3288
    pgwd, 3289
    plap, 3290
    precise, 3291, 3292
    precise_complex, 3293
    pret, 3294, 3295
    pri, 3296
    psprintorder, 3297
    pwrds, 3298
    qgosper_down, 3299, 3300
    qgosper_specialsol, 3301
    qsum_nullspace, 3302, 3303
    qsum_trace, 3304
    qsumrecursion_certificate, 3305, 3306
    qsumrecursion_down, 3307
    qsumrecursion_exp, 3308
    rat, 3309
    ratarg, 3310, 3311
    rational, 3312
    rationalize, 3313
    ratpri, 3314
    ratroot, 3315
    red_total, 3316, 3317
    revpri, 3318
    rootmsg, 3319
    roundall, 3320
    roundbf, 3321
    rounded, 3322, 3323, 3324, 3325, 3326, 3327, 3328, 3329, 3330
    rtrace, 3331, 3332
    savesfs, 3333
    savestructr, 3334
    simpnoncomdf, 3335
    solvesingular, 3336
    symantic, 3337
    symmetric, 3338
    sysm!-assoc, 3339
    taylorautocombine, 3340
    taylorautoexpand, 3341, 3342
    taylorkeeporiginal, 3343, 3344, 3345, 3346
    taylorprintorder, 3347
    time, 3348, 3349
    tr_lie, 3350
    tra, 3351
    traceratint, 3352
    tracetrig, 3353
    trcompact, 3354
    trdefint, 3355
    trfac, 3356
    trgroeb, 3357, 3358
    trgroeb1, 3359, 3360
    trgroebr, 3361
    trgroebs, 3362, 3363
    trigform, 3364
    trint, 3365, 3366
    trintsubst, 3367
    trnumeric, 3368
    trode, 3369
    trplot, 3370
    trpm, 3371
    trroot, 3372
    trsolve, 3373
    trsum, 3374
    trwu, 3375
    trxideal, 3376
    trxmod, 3377
    upper_matrix, 3378
    varopt, 3379, 3380
    verbatim, 3381
    verboseload, 3382
    xfullreduce, 3383
    zb_factor, 3384
    zb_proof, 3385
    zb_trace, 3386, 3387
switch hardzerotest
    CALI package, 3388
switch lexefgb
    CALI package, 3389
Switches by package
    REDUCE Core
        adjprec, 3390
        allbranch, 3391
        allfac, 3392, 3393, 3394, 3395
        allowdfint, 3396
        arbvars, 3397
        balanced_mod, 3398, 3399
        bezout, 3400
        bfspace, 3401
        combineexpt, 3402
        combinelogs, 3403
        commutedf, 3404
        comp, 3405
        complex, 3406, 3407, 3408, 3409
        cramer, 3410, 3411
        cref, 3412, 3413
        defn, 3414, 3415, 3416
        demo, 3417
        dfint, 3418
        dfprint, 3419
        dispjacobian, 3420
        div, 3421, 3422
        echo, 3423
        errcont, 3424
        evallhseqp, 3425
        exp, 3426, 3427, 3428
        expanddf, 3429
        expandlogs, 3430
        ezgcd, 3431
        factor, 3432, 3433
        failhard, 3434
        fort, 3435
        fortupper, 3436
        fullroots, 3437
        gcd, 3438, 3439
        GNUPLOT, 3440
        heugcd, 3441
        horner, 3442
        ifactor, 3443
        int, 3444
        intstr, 3445
        lcm, 3446
        list, 3447
        listargs, 3448
        mcd, 3449, 3450
        modular, 3451, 3452, 3453
        msg, 3454
        multiplicities, 3455
        nat, 3456, 3457
        nero, 3458
        nocommutedf, 3459
        noconvert, 3460
        nointsubst, 3461
        nolnr, 3462
        nosplit, 3463
        output, 3464
        overview, 3465
        period, 3466
        pgwd, 3467
        plap, 3468
        precise, 3469, 3470
        precise_complex, 3471
        pret, 3472, 3473
        pri, 3474
        pwrds, 3475
        rat, 3476
        ratarg, 3477, 3478
        rational, 3479
        rationalize, 3480
        ratpri, 3481
        revpri, 3482
        roundall, 3483
        roundbf, 3484
        rounded, 3485, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493
        savesfs, 3494
        savestructr, 3495
        simpnoncomdf, 3496
        solvesingular, 3497
        time, 3498, 3499
        trcompact, 3500
        trdefint, 3501
        trfac, 3502
        trigform, 3503
        trint, 3504
        trintsubst, 3505
        varopt, 3506, 3507
    ALGINT package
        algint, 3508
        tra, 3509
        trint, 3510
    ASSIST package
        distribute, 3511, 3512
    CALI package
        bcsimp, 3513, 3514
        detectunits, 3515, 3516
        factorprimes, 3517
        factorunits, 3518, 3519
        hardzerotest, 3520
        lexefgb, 3521, 3522, 3523
        Noetherian, 3524, 3525, 3526, 3527
        red_total, 3528, 3529
    CANTENS package
        exdelt, 3530, 3531
        onespace, 3532, 3533, 3534, 3535
    CDE package
        checkord, 3536
    EXCALC package
        nosum, 3537
    GNUPLOT package
        trplot, 3538
    GROEBNER package
        gltbasis, 3539, 3540
        glterms, 3541
        groebfullreduction, 3542, 3543
        groebopt, 3544, 3545, 3546
        groebprot, 3547
        groebstat, 3548, 3549
        trgroeb, 3550, 3551
        trgroeb1, 3552, 3553
        trgroebr, 3554
        trgroebs, 3555, 3556
    LAPLACE package
        lhyp, 3557
        lmon, 3558
        ltrig, 3559
    LIE package
        tr_lie, 3560
    LINALG package
        fastsimplex, 3561
        imaginary, 3562
        lower_matrix, 3563
        not_negative, 3564
        only_integer, 3565
        symmetric, 3566
        upper_matrix, 3567
    NUMERIC package
        trnumeric, 3568
    ODESOLVE package
        odesolve_basis, 3569
        odesolve_check, 3570
        odesolve_expand, 3571
        odesolve_explicit, 3572
        odesolve_fast, 3573
        odesolve_full, 3574
        odesolve_implicit, 3575
        odesolve_noint, 3576
        odesolve_verbose, 3577
        trode, 3578
    PHYSOP package
        anticom, 3579
        contract, 3580
    PM package
        symantic, 3581
        sysm!-assoc, 3582
        trpm, 3583
    QSUM package
        qgosper_down, 3584, 3585
        qgosper_specialsol, 3586
        qsum_nullspace, 3587, 3588
        qsum_trace, 3589
        qsumrecursion_certificate, 3590, 3591
        qsumrecursion_down, 3592
        qsumrecursion_exp, 3593
    RATINT package
        traceratint, 3594
    RLfi package
        lasimp, 3595
        latex, 3596
        verbatim, 3597
    ROOTS package
        multiroot, 3598
        ratroot, 3599
        rootmsg, 3600
        trroot, 3601
    RSOLVE package
        trsolve, 3602
    RTRACE package
        rtrace, 3603, 3604
    SPARSE package
        fast_la, 3605
    SUM package
        trsum, 3606
    TAYLOR package
        taylorautocombine, 3607
        taylorautoexpand, 3608, 3609
        taylorkeeporiginal, 3610, 3611, 3612, 3613
        taylorprintorder, 3614
        verboseload, 3615
    TPS package
        psprintorder, 3616
    TRIGINT package
        tracetrig, 3617
    WU package
        trwu, 3618
    XIDEAL package
        trxideal, 3619
        trxmod, 3620
        xfullreduce, 3621
    ZEILBERG package
        zb_factor, 3622
        zb_proof, 3623
        zb_trace, 3624, 3625
switches operator
    ASSIST package, 3626
switchorg operator
    ASSIST package, 3627
sx Turtle function, 3628
sy Turtle function, 3629
sym
    CALI package, 3630
sym operator
    CALI package, 3631
sym!* symbolic procedure
    CALI package, 3632
symantic switch, 3633
symb_to_alg operator
    ASSIST package, 3634
symbol_matrix operator
    EDS package, 3635
symbol_relations operator
    EDS package, 3636
symbolic, 3637
Symbolic indices
    Cantens package, 3638
Symbolic mode, 3639, 3640, 3641, 3642, 3643
    assignment, 3644
Symbolic procedure, 3645
symbolic_power operator
    CALI package, 3646
symbolic_power!* symbolic procedure
    CALI package, 3647
symdiff operator
    ASSIST package, 3648
symmetric
    tensor, 3649
symmetric declaration, 3650
    CANTENS package, 3651
Symmetric Elliptic Integrals, 3652
Symmetric operator, 3653
symmetric switch, 3654
symmetricp predicate
    LINALG package, 3655
    SPARSE package, 3656
Symmetries
    Cantens package, 3657
symmetrize operator
    ASSIST package, 3658
    CANTENS package, 3659
SYMMETRY package, 3660
symmetrybasis operator
    SYMMETRY package, 3661
symmetrybasispart operator
    SYMMETRY package, 3662
symtree command
    DUMMY package, 3663
symtree declaration
    CANTENS package, 3664
sysm!-assoc switch, 3665
system operator
    EDS package, 3666
system precision, 3667, 3668
syzygies operator
    CALI package, 3669
syzygies!* symbolic procedure
    CALI package, 3670
syzygies1!* symbolic procedure
    CALI package, 3671