S

REDUCE

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Tail

S

saturation operator

GROEBNER package, 2820

save_cde_state operator

CDE package, 2821

saveas statement, 2822

savemat operator

CALI package, 2823

savesfs switch, 2824

savestructr switch, 2825

Saving an expression, 2826

sbk Turtle function, 2827

Scalar, 2828, 2829

scalar, 2830, 2831

Scalar variable, 2832

scalefactors operator

AVECTOR package, 2833

scalop declaration

PHYSOP package, 2834

scalvect operator

ASSIST package, 2835

Schöbel, Carsten, 2836

Schöbel, Franziska, 2837

Schöpf, Rainer, 2838

schouten_bracket operator

CDE package, 2839

Schrüfer, Eberhard, 2840, 2841

Schruefer, Eberhard, 2842, 2843

Schwarz, Fritz, 2844

scientific_notation declaration, 2845

SCOPE package, 2846

sder(i) operator

SPDE package, 2847

sec numerical operator, 2848

secd numerical operator, 2849

sech numerical operator, 2850

second operator, 2851

select operator, 2852

Selector, 2853

selectvars operator

CDE package, 2854

selfconjugate declaration, 2855, 2856

Semicolon, 2857

semilinear operator

EDS package, 2858

sequences operator

ASSIST package, 2859

Set Statement, 2860

set statement, 2861, 2862

set_distribution_rule variable

SETS package, 2863

set_coframing operator

EDS package, 2864

set_eq operator

SETS package, 2865

setavailable operator

SYMMETRY package, 2866

setback Turtle function, 2867

setcaliprintterms operator

CALI package, 2868

setcalitrace

CALI package, 2869

setcalitrace operator

CALI package, 2870

setdegrees operator

CALI package, 2871, 2872

setdiff operator

SETS package, 2873

setelements operator

SYMMETRY package, 2874

setelmat operator

ASSIST package, 2875

setforward Turtle function, 2876

setgbasis

CALI package, 2877

setgbasis operator

CALI package, 2878

setgenerators operator

SYMMETRY package, 2879

setgrouptable operator

SYMMETRY package, 2880

setheading Turtle function, 2881

setheadingtowards Turtle function, 2882

setideal operator

CALI package, 2883, 2884

setkorder function

CALI package, 2885

setmod, 2886

setmodule operator

CALI package, 2887, 2888

setmonset operator

CALI package, 2889

setmonset!* symbolic procedure

CALI package, 2890

setp operator

ASSIST package, 2891

setposition Turtle function, 2892

setring

CALI package, 2893, 2894

setring command

CALI package, 2895

setring operator

CALI package, 2896

setring procedure

CALI package, 2897

setring!* symbolic procedure

CALI package, 2898

setrules operator

CALI package, 2899, 2900, 2901

setrules symbol

CALI package, 2902

setrules!* symbolic procedure

CALI package, 2903

SETS package, 2904

setx Turtle function, 2905

sety Turtle function, 2906

sfwd Turtle function, 2907

sgn

indeterminate sign, 2908

sh Turtle function, 2909

share declaration, 2910

Shi (hyperbolic sine integral) operator, 2911, 2912

show operator

ASSIST package, 2913

show_dummy_names command

DUMMY package, 2914

show_epsilons operator

CANTENS package, 2915, 2916, 2917

show_spaces operator

CANTENS package, 2918, 2919, 2920

showproc operator

RANDPOLY package, 2921

showrules operator, 2922

SHOWTIME command, 2923

shto Turtle function, 2924

shut command, 2925

Si (sine integral) operator, 2926, 2927

Side eﬀect, 2928

sieve operator

CALI package, 2929

Sigma functions, 2930, 2931, 2932, 2933

sign operator, 2934, 2935

Signature

CANTENS package, 2936

Cantens package, 2937, 2938, 2939

signature command

CANTENS package, 2940, 2941, 2942

EXCALC package, 2943

signature identiﬁer

CANTENS package, 2944

SimpleDE operator

FPS package, 2945

simplex operator

LINALG package, 2946

Simpliﬁcation, 2947, 2948, 2949

simplify_combinatorial operator

ZEILBERG package, 2950

simplify_gamma operator

ZEILBERG package, 2951

simplify_gamma2 operator

ZEILBERG package, 2952

simplify_gamman operator

ZEILBERG package, 2953

simpnoncomdf switch, 2954

simpsys operator

SPDE package, 2955, 2956, 2957

sin numerical operator, 2958

sind numerical operator, 2959

singular_locus operator

CALI package, 2960, 2961

singular_locus!* symbolic procedure

CALI package, 2962

sinh numerical operator, 2963

SixjSymbol operator, 2964

slt Turtle function, 2965

smacro reserved identiﬁer, 2966

smithex operator

NORMFORM package, 2967

smithex_int operator

NORMFORM package, 2968

SolidHarmonicY, 2969

SolidHarmonicY operator, 2970

solve operator, 2971, 2972, 2973, 2974

assumptions variable, 2975

requirements shared variable, 2976

root_multiplicities global variable, 2977

use of GROEBNER package, 2978

solvesingular switch, 2979

Solving inequalities, 2980

Sonin polynomials, 2981

sort lisp function, 2982

sort operator, 2983

sortlist operator

ASSIST package, 2984

sortnumlist operator

ASSIST package, 2985

space, 2986

spacedim command, 2987

EXCALC package, 2988, 2989

Spaces

CANTENS package, 2990

Cantens package, 2991, 2992

spaces, 2993, 2994, 2995, 2996

spadd_to_columns operator

SPARSE package, 2997

spadd_to_rows operator

SPARSE package, 2998

spadd_columns operator

SPARSE package, 2999

spadd_rows operator

SPARSE package, 3000

sparse declaration

SPARSE package, 3001

SPARSE package, 3002

sparsematp predicate

SPARSE package, 3003

spaugment_columns operator

SPARSE package, 3004

spband_matrix operator

SPARSE package, 3005

spblock_matrix operator

SPARSE package, 3006

spchar_matrix operator

SPARSE package, 3007

spchar_poly operator

SPARSE package, 3008

spcholesky operator

SPARSE package, 3009

spcoeff_matrix operator

SPARSE package, 3010

spcol_dim operator

SPARSE package, 3011

spcompanion operator

SPARSE package, 3012

spcopy_into operator

SPARSE package, 3013

SPDE package, 3014

spdiagonal operator

SPARSE package, 3015

SPECFN package, 3016

SPECFN2 package, 3017

Special functions, 3018, 3019

species shared variable

REACTEQN package, 3020

spextend operator

SPARSE package, 3021

spfind_companion operator

SPARSE package, 3022

spget_columns operator

SPARSE package, 3023

spget_rows operator

SPARSE package, 3024

spgram_schmidt operator

SPARSE package, 3025

Spherical and Solid Harmonics, 3026, 3027, 3028

Spherical coordinates, 3029

ORTHOVEC package, 3030

SphericalHarmonicY, 3031

SphericalHarmonicY operator, 3032

sphermitian_tp operator

SPARSE package, 3033

sphessian operator

SPARSE package, 3034

Spinor

CANTENS package, 3035

Spiridonova, M., 3036

spjacobian operator

SPARSE package, 3037

spjordan_block operator

SPARSE package, 3038

split operator

ASSIST package, 3039

split_field function

ARNUM package, 3040

splitext_list operator

CDE package, 3041

splitext_opequ operator

CDE package, 3042

splitplusminus operator

ASSIST package, 3043

splitterms operator

ASSIST package, 3044

splitvars_opequ operator

CDE package, 3045

splu_decom operator

SPARSE package, 3046

spmake_identity operator

SPARSE package, 3047

spmatrix_augment operator

SPARSE package, 3048

spmatrix_stack operator

SPARSE package, 3049

spminor operator

SPARSE package, 3050

spmult_columns operator

SPARSE package, 3051

spmult_rows operator

SPARSE package, 3052

spn Turtle function, 3053

sppivot operator

SPARSE package, 3054

sppseudo_inverse operator

SPARSE package, 3055

spremove_columns operator

SPARSE package, 3056

spremove_rows operator

SPARSE package, 3057

sprow_dim operator

SPARSE package, 3058

sprows_pivot operator

SPARSE package, 3059

spstack_rows operator

SPARSE package, 3060

spsub_matrix operator

SPARSE package, 3061

spsvd operator

SPARSE package, 3062

spswap_columns operator

SPARSE package, 3063

spswap_entries operator

SPARSE package, 3064

spswap_rows operator

SPARSE package, 3065

spur declaration, 3066

sqfrf, 3067

sqrt numerical operator, 3068

squarep predicate

LINALG package, 3069

SPARSE package, 3070

srt Turtle function, 3071

SSTOOLS package, 3072

stable quotient

CALI package, 3073

stack_rows operator

LINALG package, 3074

Standard form, 3075

Standard quotient, 3076

Startup ﬁle, 3077, 3078

state declaration

PHYSOP package, 3079

Statement, 3080

assignment, 3081

compound, 3082

conditional, 3083

for, 3084

for each, 3085

go to, 3086

Group, 3087, 3088

repeat, 3089

return, 3090

saveas, 3091

Set, 3092

Unset, 3093

while, 3094

Statement terminator, 3095

Stirling numbers, 3096, 3097, 3098

Stirling1, 3099

Stirling1 operator, 3100

Stirling2, 3101

Stirling2 operator, 3102

storegroup operator

SYMMETRY package, 3103

String, 3104

STRUCTR operator, 3105

structure_equations operator

EDS package, 3106

Structuring, 3107

Struve functions, 3108, 3109, 3110

StruveH operator, 3111

SPECFN package, 3112

StruveH transform, 3113

struveh_transform operator, 3114

StruveL operator, 3115

SPECFN package, 3116

Sturm Sequences, 3117

Sturm, Thomas, 3118, 3119, 3120, 3121, 3122, 3123

sub operator, 3124, 3125

sub_matrix operator

LINALG package, 3126

sublist symbol

CALI package, 3127

submat operator

ASSIST package, 3128

submodulep operator

CALI package, 3129

submodulep!* symbolic procedure

CALI package, 3130

subset (ideal inclusion test) inﬁx operator

IDEALS package, 3131

subset operator

SETS package, 3132

subset_eq operator

SETS package, 3133

Subspaces

Cantens package, 3134

subspaces, 3135

substitute operator

ASSIST package, 3136

Substitution, 3137

such that, 3138

sum keyword, 3139

sum operator

SUM package, 3140

SUM package, 3141

sum!-sq operator

SUM package, 3142

sumrecursion operator

ZEILBERG package, 3143

sumtohyper operator

ZEILBERG package, 3144

sumvect operator

ASSIST package, 3145

super_product operator

CDE package, 3146

super_vectorfield operator

CDIﬀ package, 3147

suppress operator

ASSIST package, 3148

SUSY2 package, 3149

svd operator

LINALG package, 3150

svec procedure

ORTHOVEC package, 3151

swap_columns operator

LINALG package, 3152

swap_entries operator

LINALG package, 3153

swap_rows operator

LINALG package, 3154

Switch, 3155, 3156

adjprec, 3157

algint, 3158

allbranch, 3159

allfac, 3160, 3161, 3162, 3163

allowdfint, 3164

anticom, 3165

arbvars, 3166

balanced_mod, 3167, 3168

bcsimp, 3169, 3170

bezout, 3171

bfspace, 3172

checkord, 3173

combineexpt, 3174

combinelogs, 3175

commutedf, 3176

comp, 3177

complex, 3178, 3179, 3180, 3181

contract, 3182

cramer, 3183, 3184

cref, 3185, 3186

defn, 3187, 3188, 3189

demo, 3190

detectunits, 3191, 3192

dfint, 3193

dfprint, 3194

dispjacobian, 3195

distribute, 3196, 3197

div, 3198, 3199

echo, 3200

errcont, 3201

evallhseqp, 3202

exdelt, 3203, 3204

exp, 3205, 3206, 3207

expanddf, 3208

expandlogs, 3209

ezgcd, 3210

factor, 3211, 3212

factorprimes, 3213

factorunits, 3214, 3215

failhard, 3216

fast_la, 3217

fastsimplex, 3218

fort, 3219

fortupper, 3220

fullroots, 3221

gcd, 3222, 3223

gltbasis, 3224, 3225

glterms, 3226

groebfullreduction, 3227, 3228

groebopt, 3229, 3230, 3231

groebprot, 3232

groebstat, 3233, 3234

hardzerotest, 3235

heugcd, 3236

horner, 3237

ifactor, 3238

imaginary, 3239

int, 3240

intstr, 3241

lasimp, 3242

latex, 3243

lcm, 3244

lexefgb, 3245, 3246, 3247

lhyp, 3248

list, 3249

listargs, 3250

lmon, 3251

lower_matrix, 3252

ltrig, 3253

mcd, 3254, 3255

modular, 3256, 3257, 3258

msg, 3259

multiplicities, 3260

multiroot, 3261

nat, 3262, 3263

nero, 3264

nocommutedf, 3265

noconvert, 3266

noerrsimplex, 3267

Noetherian, 3268, 3269, 3270, 3271

nointsubst, 3272

nolnr, 3273

nosplit, 3274

nosum, 3275

not_negative, 3276

odesolve_basis, 3277

odesolve_check, 3278

odesolve_expand, 3279

odesolve_explicit, 3280

odesolve_fast, 3281

odesolve_full, 3282

odesolve_implicit, 3283

odesolve_noint, 3284

odesolve_verbose, 3285

onespace, 3286, 3287, 3288, 3289

only_integer, 3290

output, 3291

overview, 3292

period, 3293

pgwd, 3294

plap, 3295

plotkeep, 3296

precise, 3297, 3298

precise_complex, 3299

pret, 3300, 3301

pri, 3302

psprintorder, 3303

pwrds, 3304

qgosper_down, 3305, 3306

qgosper_specialsol, 3307

qsum_nullspace, 3308, 3309

qsum_trace, 3310

qsumrecursion_certificate, 3311, 3312

qsumrecursion_down, 3313

qsumrecursion_exp, 3314

rat, 3315

ratarg, 3316, 3317

rational, 3318

rationalize, 3319

ratpri, 3320

ratroot, 3321

red_total, 3322, 3323

revpri, 3324

rootmsg, 3325

roundall, 3326

roundbf, 3327

rounded, 3328, 3329, 3330, 3331, 3332, 3333, 3334, 3335, 3336

rtrace, 3337, 3338

savesfs, 3339

savestructr, 3340

simpnoncomdf, 3341

solvesingular, 3342

symantic, 3343

symmetric, 3344

sysm!-assoc, 3345

taylorautocombine, 3346

taylorautoexpand, 3347, 3348

taylorkeeporiginal, 3349, 3350, 3351, 3352

taylorprintorder, 3353

time, 3354, 3355

tr_lie, 3356

tra, 3357

traceratint, 3358

tracetrig, 3359

trcompact, 3360

trdefint, 3361

trfac, 3362

trgroeb, 3363, 3364

trgroeb1, 3365, 3366

trgroebr, 3367

trgroebs, 3368, 3369

trigform, 3370

trint, 3371, 3372

trintsubst, 3373

trnumeric, 3374

trode, 3375

trplot, 3376

trpm, 3377

trroot, 3378

trsolve, 3379

trsum, 3380

trwu, 3381

trxideal, 3382

trxmod, 3383

upper_matrix, 3384

varopt, 3385, 3386

verbatim, 3387

verboseload, 3388

xfullreduce, 3389

zb_factor, 3390

zb_proof, 3391

zb_trace, 3392, 3393

switch hardzerotest

CALI package, 3394

switch lexefgb

CALI package, 3395

Switches by package

REDUCE Core

adjprec, 3396

allbranch, 3397

allfac, 3398, 3399, 3400, 3401

allowdfint, 3402

arbvars, 3403

balanced_mod, 3404, 3405

bezout, 3406

bfspace, 3407

combineexpt, 3408

combinelogs, 3409

commutedf, 3410

comp, 3411

complex, 3412, 3413, 3414, 3415

cramer, 3416, 3417

cref, 3418, 3419

defn, 3420, 3421, 3422

demo, 3423

dfint, 3424

dfprint, 3425

dispjacobian, 3426

div, 3427, 3428

echo, 3429

errcont, 3430

evallhseqp, 3431

exp, 3432, 3433, 3434

expanddf, 3435

expandlogs, 3436

ezgcd, 3437

factor, 3438, 3439

failhard, 3440

fort, 3441

fortupper, 3442

fullroots, 3443

gcd, 3444, 3445

heugcd, 3446

horner, 3447

ifactor, 3448

int, 3449

intstr, 3450

lcm, 3451

list, 3452

listargs, 3453

mcd, 3454, 3455

modular, 3456, 3457, 3458

msg, 3459

multiplicities, 3460

nat, 3461, 3462

nero, 3463

nocommutedf, 3464

noconvert, 3465

nointsubst, 3466

nolnr, 3467

nosplit, 3468

output, 3469

overview, 3470

period, 3471

pgwd, 3472

plap, 3473

precise, 3474, 3475

precise_complex, 3476

pret, 3477, 3478

pri, 3479

pwrds, 3480

rat, 3481

ratarg, 3482, 3483

rational, 3484

rationalize, 3485

ratpri, 3486

revpri, 3487

roundall, 3488

roundbf, 3489

rounded, 3490, 3491, 3492, 3493, 3494, 3495, 3496, 3497, 3498

savesfs, 3499

savestructr, 3500

simpnoncomdf, 3501

solvesingular, 3502

time, 3503, 3504

trcompact, 3505

trdefint, 3506

trfac, 3507

trigform, 3508

trint, 3509

trintsubst, 3510

varopt, 3511, 3512

ALGINT package

algint, 3513

tra, 3514

trint, 3515

ASSIST package

distribute, 3516, 3517

CALI package

bcsimp, 3518, 3519

detectunits, 3520, 3521

factorprimes, 3522

factorunits, 3523, 3524

hardzerotest, 3525

lexefgb, 3526, 3527, 3528

Noetherian, 3529, 3530, 3531, 3532

red_total, 3533, 3534

CANTENS package

exdelt, 3535, 3536

onespace, 3537, 3538, 3539, 3540

CDE package

checkord, 3541

EXCALC package

nosum, 3542

GNUPLOT package

plotkeep, 3543

trplot, 3544

GROEBNER package

gltbasis, 3545, 3546

glterms, 3547

groebfullreduction, 3548, 3549

groebopt, 3550, 3551, 3552

groebprot, 3553

groebstat, 3554, 3555

trgroeb, 3556, 3557

trgroeb1, 3558, 3559

trgroebr, 3560

trgroebs, 3561, 3562

LAPLACE package

lhyp, 3563

lmon, 3564

ltrig, 3565

LIE package

tr_lie, 3566

LINALG package

fastsimplex, 3567

imaginary, 3568

lower_matrix, 3569

noerrsimplex, 3570

not_negative, 3571

only_integer, 3572

symmetric, 3573

upper_matrix, 3574

NUMERIC package

trnumeric, 3575

ODESOLVE package

odesolve_basis, 3576

odesolve_check, 3577

odesolve_expand, 3578

odesolve_explicit, 3579

odesolve_fast, 3580

odesolve_full, 3581

odesolve_implicit, 3582

odesolve_noint, 3583

odesolve_verbose, 3584

trode, 3585

PHYSOP package

anticom, 3586

contract, 3587

PM package

symantic, 3588

sysm!-assoc, 3589

trpm, 3590

QSUM package

qgosper_down, 3591, 3592

qgosper_specialsol, 3593

qsum_nullspace, 3594, 3595

qsum_trace, 3596

qsumrecursion_certificate, 3597, 3598

qsumrecursion_down, 3599

qsumrecursion_exp, 3600

RATINT package

traceratint, 3601

RLﬁ package

lasimp, 3602

latex, 3603

verbatim, 3604

ROOTS package

multiroot, 3605

ratroot, 3606

rootmsg, 3607

trroot, 3608

RSOLVE package

trsolve, 3609

RTRACE package

rtrace, 3610, 3611

SPARSE package

fast_la, 3612

SUM package

trsum, 3613

TAYLOR package

taylorautocombine, 3614

taylorautoexpand, 3615, 3616

taylorkeeporiginal, 3617, 3618, 3619, 3620

taylorprintorder, 3621

verboseload, 3622

TPS package

psprintorder, 3623

TRIGINT package

tracetrig, 3624

WU package

trwu, 3625

XIDEAL package

trxideal, 3626

trxmod, 3627

xfullreduce, 3628

ZEILBERG package

zb_factor, 3629

zb_proof, 3630

zb_trace, 3631, 3632

switches operator

ASSIST package, 3633

switchorg operator

ASSIST package, 3634

sx Turtle function, 3635

sy Turtle function, 3636

sym

CALI package, 3637

sym operator

CALI package, 3638

sym!* symbolic procedure

CALI package, 3639

symantic switch, 3640

symb_to_alg operator

ASSIST package, 3641

symbol_matrix operator

EDS package, 3642

symbol_relations operator

EDS package, 3643

symbolic, 3644

Symbolic indices

Cantens package, 3645

Symbolic mode, 3646, 3647, 3648, 3649, 3650

assignment, 3651

Symbolic procedure, 3652

symbolic_power operator

CALI package, 3653

symbolic_power!* symbolic procedure

CALI package, 3654

symdiff operator

ASSIST package, 3655

symmetric

tensor, 3656

symmetric declaration, 3657

CANTENS package, 3658

Symmetric Elliptic Integrals, 3659

Symmetric operator, 3660

symmetric switch, 3661

symmetricp predicate

LINALG package, 3662

SPARSE package, 3663

Symmetries

Cantens package, 3664

symmetrize operator

ASSIST package, 3665

CANTENS package, 3666

SYMMETRY package, 3667

symmetrybasis operator

SYMMETRY package, 3668

symmetrybasispart operator

SYMMETRY package, 3669

symtree command

DUMMY package, 3670

symtree declaration

CANTENS package, 3671

sysm!-assoc switch, 3672

system command, 3673

system operator

EDS package, 3674

system precision, 3675, 3676

syzygies operator

CALI package, 3677

syzygies!* symbolic procedure

CALI package, 3678

syzygies1!* symbolic procedure

CALI package, 3679

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