S

saturation operator
    GROEBNER package, 2793
save_cde_state operator
    CDE package, 2794
saveas statement, 2795
savemat operator
    CALI package, 2796
savesfs switch, 2797
savestructr switch, 2798
Saving an expression, 2799
sbk Turtle function, 2800
Scalar, 2801, 2802
scalar, 2803, 2804
Scalar variable, 2805
scalefactors operator
    AVECTOR package, 2806
scalop declaration
    PHYSOP package, 2807
scalvect operator
    ASSIST package, 2808
Schöbel, Carsten, 2809
Schöbel, Franziska, 2810
Schöpf, Rainer, 2811
schouten_bracket operator
    CDE package, 2812
Schrüfer, Eberhard, 2813, 2814
Schruefer, Eberhard, 2815, 2816
Schwarz, Fritz, 2817
scientific_notation declaration, 2818
SCOPE package, 2819
sder(i) operator
    SPDE package, 2820
sec numerical operator, 2821
secd numerical operator, 2822
sech numerical operator, 2823
second operator, 2824
select operator, 2825
Selector, 2826
selectvars operator
    CDE package, 2827
selfconjugate declaration, 2828, 2829
Semicolon, 2830
semilinear operator
    EDS package, 2831
sequences operator
    ASSIST package, 2832
Set Statement, 2833
set statement, 2834, 2835
set_distribution_rule variable
    SETS package, 2836
set_coframing operator
    EDS package, 2837
set_eq operator
    SETS package, 2838
setavailable operator
    SYMMETRY package, 2839
setback Turtle function, 2840
setcaliprintterms operator
    CALI package, 2841
setcalitrace
    CALI package, 2842
setcalitrace operator
    CALI package, 2843
setdegrees operator
    CALI package, 2844, 2845
setdiff operator
    SETS package, 2846
setelements operator
    SYMMETRY package, 2847
setelmat operator
    ASSIST package, 2848
setforward Turtle function, 2849
setgbasis
    CALI package, 2850
setgbasis operator
    CALI package, 2851
setgenerators operator
    SYMMETRY package, 2852
setgrouptable operator
    SYMMETRY package, 2853
setheading Turtle function, 2854
setheadingtowards Turtle function, 2855
setideal operator
    CALI package, 2856, 2857
setkorder function
    CALI package, 2858
setmod, 2859
setmodule operator
    CALI package, 2860, 2861
setmonset operator
    CALI package, 2862
setmonset!* symbolic procedure
    CALI package, 2863
setp operator
    ASSIST package, 2864
setposition Turtle function, 2865
setring
    CALI package, 2866, 2867
setring command
    CALI package, 2868
setring operator
    CALI package, 2869
setring procedure
    CALI package, 2870
setring!* symbolic procedure
    CALI package, 2871
setrules operator
    CALI package, 2872, 2873, 2874
setrules symbol
    CALI package, 2875
setrules!* symbolic procedure
    CALI package, 2876
SETS package, 2877
setx Turtle function, 2878
sety Turtle function, 2879
sfwd Turtle function, 2880
sgn
    indeterminate sign, 2881
sh Turtle function, 2882
share declaration, 2883
Shi (hyperbolic sine integral) operator, 2884, 2885
show operator
    ASSIST package, 2886
show_dummy_names command
    DUMMY package, 2887
show_epsilons operator
    CANTENS package, 2888, 2889, 2890
show_spaces operator
    CANTENS package, 2891, 2892, 2893
showproc operator
    RANDPOLY package, 2894
showrules operator, 2895
SHOWTIME command, 2896
shto Turtle function, 2897
shut command, 2898
Si (sine integral) operator, 2899, 2900
Side effect, 2901
sieve operator
    CALI package, 2902
Sigma functions, 2903, 2904, 2905, 2906
sign operator, 2907, 2908
Signature
    CANTENS package, 2909
    Cantens package, 2910, 2911, 2912
signature command
    CANTENS package, 2913, 2914, 2915
    EXCALC package, 2916
signature identifier
    CANTENS package, 2917
SimpleDE operator
    FPS package, 2918
simplex operator
    LINALG package, 2919
Simplification, 2920, 2921, 2922
simplify_combinatorial operator
    ZEILBERG package, 2923
simplify_gamma operator
    ZEILBERG package, 2924
simplify_gamma2 operator
    ZEILBERG package, 2925
simplify_gamman operator
    ZEILBERG package, 2926
simpnoncomdf switch, 2927
simpsys operator
    SPDE package, 2928, 2929, 2930
sin numerical operator, 2931
sind numerical operator, 2932
singular_locus operator
    CALI package, 2933, 2934
singular_locus!* symbolic procedure
    CALI package, 2935
sinh numerical operator, 2936
SixjSymbol operator, 2937
slt Turtle function, 2938
smacro reserved identifier, 2939
smithex operator
    NORMFORM package, 2940
smithex_int operator
    NORMFORM package, 2941
SolidHarmonicY, 2942
SolidHarmonicY operator, 2943
solve operator, 2944, 2945, 2946, 2947
    assumptions variable, 2948
    requirements shared variable, 2949
    root_multiplicities global variable, 2950
    use of GROEBNER package, 2951
solvesingular switch, 2952
Solving inequalities, 2953
Sonin polynomials, 2954
sort lisp function, 2955
sortlist operator
    ASSIST package, 2956
sortnumlist operator
    ASSIST package, 2957
space, 2958
spacedim command, 2959
    EXCALC package, 2960, 2961
Spaces
    CANTENS package, 2962
    Cantens package, 2963, 2964
spaces, 2965, 2966, 2967, 2968
spadd_to_columns operator
    SPARSE package, 2969
spadd_to_rows operator
    SPARSE package, 2970
spadd_columns operator
    SPARSE package, 2971
spadd_rows operator
    SPARSE package, 2972
sparse declaration
    SPARSE package, 2973
SPARSE package, 2974
sparsematp predicate
    SPARSE package, 2975
spaugment_columns operator
    SPARSE package, 2976
spband_matrix operator
    SPARSE package, 2977
spblock_matrix operator
    SPARSE package, 2978
spchar_matrix operator
    SPARSE package, 2979
spchar_poly operator
    SPARSE package, 2980
spcholesky operator
    SPARSE package, 2981
spcoeff_matrix operator
    SPARSE package, 2982
spcol_dim operator
    SPARSE package, 2983
spcompanion operator
    SPARSE package, 2984
spcopy_into operator
    SPARSE package, 2985
SPDE package, 2986
spdiagonal operator
    SPARSE package, 2987
SPECFN package, 2988
SPECFN2 package, 2989
Special functions, 2990, 2991
species shared variable
    REACTEQN package, 2992
spextend operator
    SPARSE package, 2993
spfind_companion operator
    SPARSE package, 2994
spget_columns operator
    SPARSE package, 2995
spget_rows operator
    SPARSE package, 2996
spgram_schmidt operator
    SPARSE package, 2997
Spherical and Solid Harmonics, 2998, 2999, 3000
Spherical coordinates, 3001
    ORTHOVEC package, 3002
SphericalHarmonicY, 3003
SphericalHarmonicY operator, 3004
sphermitian_tp operator
    SPARSE package, 3005
sphessian operator
    SPARSE package, 3006
Spinor
    CANTENS package, 3007
Spiridonova, M., 3008
spjacobian operator
    SPARSE package, 3009
spjordan_block operator
    SPARSE package, 3010
split operator
    ASSIST package, 3011
split_field function
    ARNUM package, 3012
splitext_list operator
    CDE package, 3013
splitext_opequ operator
    CDE package, 3014
splitplusminus operator
    ASSIST package, 3015
splitterms operator
    ASSIST package, 3016
splitvars_opequ operator
    CDE package, 3017
splu_decom operator
    SPARSE package, 3018
spmake_identity operator
    SPARSE package, 3019
spmatrix_augment operator
    SPARSE package, 3020
spmatrix_stack operator
    SPARSE package, 3021
spminor operator
    SPARSE package, 3022
spmult_columns operator
    SPARSE package, 3023
spmult_rows operator
    SPARSE package, 3024
spn Turtle function, 3025
sppivot operator
    SPARSE package, 3026
sppseudo_inverse operator
    SPARSE package, 3027
spremove_columns operator
    SPARSE package, 3028
spremove_rows operator
    SPARSE package, 3029
sprow_dim operator
    SPARSE package, 3030
sprows_pivot operator
    SPARSE package, 3031
spstack_rows operator
    SPARSE package, 3032
spsub_matrix operator
    SPARSE package, 3033
spsvd operator
    SPARSE package, 3034
spswap_columns operator
    SPARSE package, 3035
spswap_entries operator
    SPARSE package, 3036
spswap_rows operator
    SPARSE package, 3037
spur declaration, 3038
sqfrf, 3039
sqrt numerical operator, 3040
squarep predicate
    LINALG package, 3041
    SPARSE package, 3042
srt Turtle function, 3043
SSTOOLS package, 3044
stable quotient
    CALI package, 3045
stack_rows operator
    LINALG package, 3046
Standard form, 3047
Standard quotient, 3048
Startup file, 3049, 3050
state declaration
    PHYSOP package, 3051
Statement, 3052
    assignment, 3053
    compound, 3054
    conditional, 3055
    for, 3056
    for each, 3057
    go to, 3058
    Group, 3059, 3060
    repeat, 3061
    return, 3062
    saveas, 3063
    Set, 3064
    Unset, 3065
    while, 3066
Statement terminator, 3067
Stirling numbers, 3068, 3069, 3070
Stirling1, 3071
Stirling1 operator, 3072
Stirling2, 3073
Stirling2 operator, 3074
storegroup operator
    SYMMETRY package, 3075
String, 3076
STRUCTR operator, 3077
structure_equations operator
    EDS package, 3078
Structuring, 3079
Struve functions, 3080, 3081, 3082
StruveH operator, 3083
    SPECFN package, 3084
StruveH transform, 3085
struveh_transform operator, 3086
StruveL operator, 3087
    SPECFN package, 3088
Sturm Sequences, 3089
Sturm, Thomas, 3090, 3091, 3092, 3093, 3094, 3095
sub operator, 3096, 3097
sub_matrix operator
    LINALG package, 3098
sublist symbol
    CALI package, 3099
submat operator
    ASSIST package, 3100
submodulep operator
    CALI package, 3101
submodulep!* symbolic procedure
    CALI package, 3102
subset (ideal inclusion test) infix operator
    IDEALS package, 3103
subset operator
    SETS package, 3104
subset_eq operator
    SETS package, 3105
Subspaces
    Cantens package, 3106
subspaces, 3107
substitute operator
    ASSIST package, 3108
Substitution, 3109
such that, 3110
sum keyword, 3111
sum operator
    SUM package, 3112
SUM package, 3113
sum!-sq operator
    SUM package, 3114
sumrecursion operator
    ZEILBERG package, 3115
sumtohyper operator
    ZEILBERG package, 3116
sumvect operator
    ASSIST package, 3117
super_product operator
    CDE package, 3118
super_vectorfield operator
    CDIff package, 3119
suppress operator
    ASSIST package, 3120
svd operator
    LINALG package, 3121
svec procedure
    ORTHOVEC package, 3122
swap_columns operator
    LINALG package, 3123
swap_entries operator
    LINALG package, 3124
swap_rows operator
    LINALG package, 3125
Switch, 3126, 3127
    adjprec, 3128
    algint, 3129
    allbranch, 3130
    allfac, 3131, 3132, 3133, 3134
    allowdfint, 3135
    anticom, 3136
    arbvars, 3137
    balanced_mod, 3138, 3139
    bcsimp, 3140, 3141
    bezout, 3142
    bfspace, 3143
    checkord, 3144
    combineexpt, 3145
    combinelogs, 3146
    commutedf, 3147
    comp, 3148
    complex, 3149, 3150, 3151, 3152
    contract, 3153
    cramer, 3154, 3155
    cref, 3156, 3157
    defn, 3158, 3159, 3160
    demo, 3161
    detectunits, 3162, 3163
    dfint, 3164
    dfprint, 3165
    dispjacobian, 3166
    distribute, 3167, 3168
    div, 3169, 3170
    echo, 3171
    errcont, 3172
    evallhseqp, 3173
    exdelt, 3174, 3175
    exp, 3176, 3177, 3178
    expanddf, 3179
    expandlogs, 3180
    ezgcd, 3181
    factor, 3182, 3183
    factorprimes, 3184
    factorunits, 3185, 3186
    failhard, 3187
    fast_la, 3188
    fastsimplex, 3189
    fort, 3190
    fortupper, 3191
    fullroots, 3192
    gcd, 3193, 3194
    gltbasis, 3195, 3196
    glterms, 3197
    GNUPLOT, 3198
    groebfullreduction, 3199, 3200
    groebopt, 3201, 3202, 3203
    groebprot, 3204
    groebstat, 3205, 3206
    hardzerotest, 3207
    heugcd, 3208
    horner, 3209
    ifactor, 3210
    imaginary, 3211
    int, 3212
    intstr, 3213
    lasimp, 3214
    latex, 3215
    lcm, 3216
    lexefgb, 3217, 3218, 3219
    lhyp, 3220
    list, 3221
    listargs, 3222
    lmon, 3223
    lower_matrix, 3224
    ltrig, 3225
    mcd, 3226, 3227
    modular, 3228, 3229, 3230
    msg, 3231
    multiplicities, 3232
    multiroot, 3233
    nat, 3234, 3235
    nero, 3236
    nocommutedf, 3237
    noconvert, 3238
    Noetherian, 3239, 3240, 3241, 3242
    nointsubst, 3243
    nolnr, 3244
    nosplit, 3245
    nosum, 3246
    not_negative, 3247
    odesolve_basis, 3248
    odesolve_check, 3249
    odesolve_expand, 3250
    odesolve_explicit, 3251
    odesolve_fast, 3252
    odesolve_full, 3253
    odesolve_implicit, 3254
    odesolve_noint, 3255
    odesolve_verbose, 3256
    onespace, 3257, 3258, 3259, 3260
    only_integer, 3261
    output, 3262
    overview, 3263
    period, 3264
    pgwd, 3265
    plap, 3266
    precise, 3267, 3268
    precise_complex, 3269
    pret, 3270, 3271
    pri, 3272
    psprintorder, 3273
    pwrds, 3274
    qgosper_down, 3275, 3276
    qgosper_specialsol, 3277
    qsum_nullspace, 3278, 3279
    qsum_trace, 3280
    qsumrecursion_certificate, 3281, 3282
    qsumrecursion_down, 3283
    qsumrecursion_exp, 3284
    rat, 3285
    ratarg, 3286, 3287
    rational, 3288
    rationalize, 3289
    ratpri, 3290
    ratroot, 3291
    red_total, 3292, 3293
    revpri, 3294
    rootmsg, 3295
    roundall, 3296
    roundbf, 3297
    rounded, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306
    rtrace, 3307, 3308
    savesfs, 3309
    savestructr, 3310
    simpnoncomdf, 3311
    solvesingular, 3312
    symantic, 3313
    symmetric, 3314
    sysm!-assoc, 3315
    taylorautocombine, 3316
    taylorautoexpand, 3317, 3318
    taylorkeeporiginal, 3319, 3320, 3321, 3322
    taylorprintorder, 3323
    time, 3324, 3325
    tr_lie, 3326
    tra, 3327
    traceratint, 3328
    tracetrig, 3329
    trcompact, 3330
    trdefint, 3331
    trfac, 3332
    trgroeb, 3333, 3334
    trgroeb1, 3335, 3336
    trgroebr, 3337
    trgroebs, 3338, 3339
    trigform, 3340
    trint, 3341, 3342
    trintsubst, 3343
    trnumeric, 3344
    trode, 3345
    trplot, 3346
    trpm, 3347
    trroot, 3348
    trsolve, 3349
    trsum, 3350
    trwu, 3351
    trxideal, 3352
    trxmod, 3353
    upper_matrix, 3354
    varopt, 3355, 3356
    verbatim, 3357
    verboseload, 3358
    xfullreduce, 3359
    zb_factor, 3360
    zb_proof, 3361
    zb_trace, 3362, 3363
switch hardzerotest
    CALI package, 3364
switch lexefgb
    CALI package, 3365
Switches by package
    REDUCE Core
        adjprec, 3366
        allbranch, 3367
        allfac, 3368, 3369, 3370, 3371
        allowdfint, 3372
        arbvars, 3373
        balanced_mod, 3374, 3375
        bezout, 3376
        bfspace, 3377
        combineexpt, 3378
        combinelogs, 3379
        commutedf, 3380
        comp, 3381
        complex, 3382, 3383, 3384, 3385
        cramer, 3386, 3387
        cref, 3388, 3389
        defn, 3390, 3391, 3392
        demo, 3393
        dfint, 3394
        dfprint, 3395
        dispjacobian, 3396
        div, 3397, 3398
        echo, 3399
        errcont, 3400
        evallhseqp, 3401
        exp, 3402, 3403, 3404
        expanddf, 3405
        expandlogs, 3406
        ezgcd, 3407
        factor, 3408, 3409
        failhard, 3410
        fort, 3411
        fortupper, 3412
        fullroots, 3413
        gcd, 3414, 3415
        GNUPLOT, 3416
        heugcd, 3417
        horner, 3418
        ifactor, 3419
        int, 3420
        intstr, 3421
        lcm, 3422
        list, 3423
        listargs, 3424
        mcd, 3425, 3426
        modular, 3427, 3428, 3429
        msg, 3430
        multiplicities, 3431
        nat, 3432, 3433
        nero, 3434
        nocommutedf, 3435
        noconvert, 3436
        nointsubst, 3437
        nolnr, 3438
        nosplit, 3439
        output, 3440
        overview, 3441
        period, 3442
        pgwd, 3443
        plap, 3444
        precise, 3445, 3446
        precise_complex, 3447
        pret, 3448, 3449
        pri, 3450
        pwrds, 3451
        rat, 3452
        ratarg, 3453, 3454
        rational, 3455
        rationalize, 3456
        ratpri, 3457
        revpri, 3458
        roundall, 3459
        roundbf, 3460
        rounded, 3461, 3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469
        savesfs, 3470
        savestructr, 3471
        simpnoncomdf, 3472
        solvesingular, 3473
        time, 3474, 3475
        trcompact, 3476
        trdefint, 3477
        trfac, 3478
        trigform, 3479
        trint, 3480
        trintsubst, 3481
        varopt, 3482, 3483
    ALGINT package
        algint, 3484
        tra, 3485
        trint, 3486
    ASSIST package
        distribute, 3487, 3488
    CALI package
        bcsimp, 3489, 3490
        detectunits, 3491, 3492
        factorprimes, 3493
        factorunits, 3494, 3495
        hardzerotest, 3496
        lexefgb, 3497, 3498, 3499
        Noetherian, 3500, 3501, 3502, 3503
        red_total, 3504, 3505
    CANTENS package
        exdelt, 3506, 3507
        onespace, 3508, 3509, 3510, 3511
    CDE package
        checkord, 3512
    EXCALC package
        nosum, 3513
    GNUPLOT package
        trplot, 3514
    GROEBNER package
        gltbasis, 3515, 3516
        glterms, 3517
        groebfullreduction, 3518, 3519
        groebopt, 3520, 3521, 3522
        groebprot, 3523
        groebstat, 3524, 3525
        trgroeb, 3526, 3527
        trgroeb1, 3528, 3529
        trgroebr, 3530
        trgroebs, 3531, 3532
    LAPLACE package
        lhyp, 3533
        lmon, 3534
        ltrig, 3535
    LIE package
        tr_lie, 3536
    LINALG package
        fastsimplex, 3537
        imaginary, 3538
        lower_matrix, 3539
        not_negative, 3540
        only_integer, 3541
        symmetric, 3542
        upper_matrix, 3543
    NUMERIC package
        trnumeric, 3544
    ODESOLVE package
        odesolve_basis, 3545
        odesolve_check, 3546
        odesolve_expand, 3547
        odesolve_explicit, 3548
        odesolve_fast, 3549
        odesolve_full, 3550
        odesolve_implicit, 3551
        odesolve_noint, 3552
        odesolve_verbose, 3553
        trode, 3554
    PHYSOP package
        anticom, 3555
        contract, 3556
    PM package
        symantic, 3557
        sysm!-assoc, 3558
        trpm, 3559
    QSUM package
        qgosper_down, 3560, 3561
        qgosper_specialsol, 3562
        qsum_nullspace, 3563, 3564
        qsum_trace, 3565
        qsumrecursion_certificate, 3566, 3567
        qsumrecursion_down, 3568
        qsumrecursion_exp, 3569
    RATINT package
        traceratint, 3570
    RLfi package
        lasimp, 3571
        latex, 3572
        verbatim, 3573
    ROOTS package
        multiroot, 3574
        ratroot, 3575
        rootmsg, 3576
        trroot, 3577
    RSOLVE package
        trsolve, 3578
    RTRACE package
        rtrace, 3579, 3580
    SPARSE package
        fast_la, 3581
    SUM package
        trsum, 3582
    TAYLOR package
        taylorautocombine, 3583
        taylorautoexpand, 3584, 3585
        taylorkeeporiginal, 3586, 3587, 3588, 3589
        taylorprintorder, 3590
        verboseload, 3591
    TPS package
        psprintorder, 3592
    TRIGINT package
        tracetrig, 3593
    WU package
        trwu, 3594
    XIDEAL package
        trxideal, 3595
        trxmod, 3596
        xfullreduce, 3597
    ZEILBERG package
        zb_factor, 3598
        zb_proof, 3599
        zb_trace, 3600, 3601
switches operator
    ASSIST package, 3602
switchorg operator
    ASSIST package, 3603
sx Turtle function, 3604
sy Turtle function, 3605
sym
    CALI package, 3606
sym operator
    CALI package, 3607
sym!* symbolic procedure
    CALI package, 3608
symantic switch, 3609
symb_to_alg operator
    ASSIST package, 3610
symbol_matrix operator
    EDS package, 3611
symbol_relations operator
    EDS package, 3612
symbolic, 3613
Symbolic indices
    Cantens package, 3614
Symbolic mode, 3615, 3616, 3617, 3618, 3619
    assignment, 3620
Symbolic procedure, 3621
symbolic_power operator
    CALI package, 3622
symbolic_power!* symbolic procedure
    CALI package, 3623
symdiff operator
    ASSIST package, 3624
symmetric
    tensor, 3625
symmetric declaration, 3626
    CANTENS package, 3627
Symmetric Elliptic Integrals, 3628
Symmetric operator, 3629
symmetric switch, 3630
symmetricp predicate
    LINALG package, 3631
    SPARSE package, 3632
Symmetries
    Cantens package, 3633
symmetrize operator
    ASSIST package, 3634
    CANTENS package, 3635
SYMMETRY package, 3636
symmetrybasis operator
    SYMMETRY package, 3637
symmetrybasispart operator
    SYMMETRY package, 3638
symtree command
    DUMMY package, 3639
symtree declaration
    CANTENS package, 3640
sysm!-assoc switch, 3641
system operator
    EDS package, 3642
system precision, 3643, 3644
syzygies operator
    CALI package, 3645
syzygies!* symbolic procedure
    CALI package, 3646
syzygies1!* symbolic procedure
    CALI package, 3647