S

REDUCE

PrevTail

Tail

S

saturation operator

GROEBNER package, 2819

save_cde_state operator

CDE package, 2820

saveas statement, 2821

savemat operator

CALI package, 2822

savesfs switch, 2823

savestructr switch, 2824

Saving an expression, 2825

sbk Turtle function, 2826

Scalar, 2827, 2828

scalar, 2829, 2830

Scalar variable, 2831

scalefactors operator

AVECTOR package, 2832

scalop declaration

PHYSOP package, 2833

scalvect operator

ASSIST package, 2834

Schöbel, Carsten, 2835

Schöbel, Franziska, 2836

Schöpf, Rainer, 2837

schouten_bracket operator

CDE package, 2838

Schrüfer, Eberhard, 2839, 2840

Schruefer, Eberhard, 2841, 2842

Schwarz, Fritz, 2843

scientific_notation declaration, 2844

SCOPE package, 2845

sder(i) operator

SPDE package, 2846

sec numerical operator, 2847

secd numerical operator, 2848

sech numerical operator, 2849

second operator, 2850

select operator, 2851

Selector, 2852

selectvars operator

CDE package, 2853

selfconjugate declaration, 2854, 2855

Semicolon, 2856

semilinear operator

EDS package, 2857

sequences operator

ASSIST package, 2858

Set Statement, 2859

set statement, 2860, 2861

set_distribution_rule variable

SETS package, 2862

set_coframing operator

EDS package, 2863

set_eq operator

SETS package, 2864

setavailable operator

SYMMETRY package, 2865

setback Turtle function, 2866

setcaliprintterms operator

CALI package, 2867

setcalitrace

CALI package, 2868

setcalitrace operator

CALI package, 2869

setdegrees operator

CALI package, 2870, 2871

setdiff operator

SETS package, 2872

setelements operator

SYMMETRY package, 2873

setelmat operator

ASSIST package, 2874

setforward Turtle function, 2875

setgbasis

CALI package, 2876

setgbasis operator

CALI package, 2877

setgenerators operator

SYMMETRY package, 2878

setgrouptable operator

SYMMETRY package, 2879

setheading Turtle function, 2880

setheadingtowards Turtle function, 2881

setideal operator

CALI package, 2882, 2883

setkorder function

CALI package, 2884

setmod, 2885

setmodule operator

CALI package, 2886, 2887

setmonset operator

CALI package, 2888

setmonset!* symbolic procedure

CALI package, 2889

setp operator

ASSIST package, 2890

setposition Turtle function, 2891

setring

CALI package, 2892, 2893

setring command

CALI package, 2894

setring operator

CALI package, 2895

setring procedure

CALI package, 2896

setring!* symbolic procedure

CALI package, 2897

setrules operator

CALI package, 2898, 2899, 2900

setrules symbol

CALI package, 2901

setrules!* symbolic procedure

CALI package, 2902

SETS package, 2903

setx Turtle function, 2904

sety Turtle function, 2905

sfwd Turtle function, 2906

sgn

indeterminate sign, 2907

sh Turtle function, 2908

share declaration, 2909

Shi (hyperbolic sine integral) operator, 2910, 2911

show operator

ASSIST package, 2912

show_dummy_names command

DUMMY package, 2913

show_epsilons operator

CANTENS package, 2914, 2915, 2916

show_spaces operator

CANTENS package, 2917, 2918, 2919

showproc operator

RANDPOLY package, 2920

showrules operator, 2921

SHOWTIME command, 2922

shto Turtle function, 2923

shut command, 2924

Si (sine integral) operator, 2925, 2926

Side eﬀect, 2927

sieve operator

CALI package, 2928

Sigma functions, 2929, 2930, 2931, 2932

sign operator, 2933, 2934

Signature

CANTENS package, 2935

Cantens package, 2936, 2937, 2938

signature command

CANTENS package, 2939, 2940, 2941

EXCALC package, 2942

signature identiﬁer

CANTENS package, 2943

SimpleDE operator

FPS package, 2944

simplex operator

LINALG package, 2945

Simpliﬁcation, 2946, 2947, 2948

simplify_combinatorial operator

ZEILBERG package, 2949

simplify_gamma operator

ZEILBERG package, 2950

simplify_gamma2 operator

ZEILBERG package, 2951

simplify_gamman operator

ZEILBERG package, 2952

simpnoncomdf switch, 2953

simpsys operator

SPDE package, 2954, 2955, 2956

sin numerical operator, 2957

sind numerical operator, 2958

singular_locus operator

CALI package, 2959, 2960

singular_locus!* symbolic procedure

CALI package, 2961

sinh numerical operator, 2962

SixjSymbol operator, 2963

slt Turtle function, 2964

smacro reserved identiﬁer, 2965

smithex operator

NORMFORM package, 2966

smithex_int operator

NORMFORM package, 2967

SolidHarmonicY, 2968

SolidHarmonicY operator, 2969

solve operator, 2970, 2971, 2972, 2973

assumptions variable, 2974

requirements shared variable, 2975

root_multiplicities global variable, 2976

use of GROEBNER package, 2977

solvesingular switch, 2978

Solving inequalities, 2979

Sonin polynomials, 2980

sort lisp function, 2981

sortlist operator

ASSIST package, 2982

sortnumlist operator

ASSIST package, 2983

space, 2984

spacedim command, 2985

EXCALC package, 2986, 2987

Spaces

CANTENS package, 2988

Cantens package, 2989, 2990

spaces, 2991, 2992, 2993, 2994

spadd_to_columns operator

SPARSE package, 2995

spadd_to_rows operator

SPARSE package, 2996

spadd_columns operator

SPARSE package, 2997

spadd_rows operator

SPARSE package, 2998

sparse declaration

SPARSE package, 2999

SPARSE package, 3000

sparsematp predicate

SPARSE package, 3001

spaugment_columns operator

SPARSE package, 3002

spband_matrix operator

SPARSE package, 3003

spblock_matrix operator

SPARSE package, 3004

spchar_matrix operator

SPARSE package, 3005

spchar_poly operator

SPARSE package, 3006

spcholesky operator

SPARSE package, 3007

spcoeff_matrix operator

SPARSE package, 3008

spcol_dim operator

SPARSE package, 3009

spcompanion operator

SPARSE package, 3010

spcopy_into operator

SPARSE package, 3011

SPDE package, 3012

spdiagonal operator

SPARSE package, 3013

SPECFN package, 3014

SPECFN2 package, 3015

Special functions, 3016, 3017

species shared variable

REACTEQN package, 3018

spextend operator

SPARSE package, 3019

spfind_companion operator

SPARSE package, 3020

spget_columns operator

SPARSE package, 3021

spget_rows operator

SPARSE package, 3022

spgram_schmidt operator

SPARSE package, 3023

Spherical and Solid Harmonics, 3024, 3025, 3026

Spherical coordinates, 3027

ORTHOVEC package, 3028

SphericalHarmonicY, 3029

SphericalHarmonicY operator, 3030

sphermitian_tp operator

SPARSE package, 3031

sphessian operator

SPARSE package, 3032

Spinor

CANTENS package, 3033

Spiridonova, M., 3034

spjacobian operator

SPARSE package, 3035

spjordan_block operator

SPARSE package, 3036

split operator

ASSIST package, 3037

split_field function

ARNUM package, 3038

splitext_list operator

CDE package, 3039

splitext_opequ operator

CDE package, 3040

splitplusminus operator

ASSIST package, 3041

splitterms operator

ASSIST package, 3042

splitvars_opequ operator

CDE package, 3043

splu_decom operator

SPARSE package, 3044

spmake_identity operator

SPARSE package, 3045

spmatrix_augment operator

SPARSE package, 3046

spmatrix_stack operator

SPARSE package, 3047

spminor operator

SPARSE package, 3048

spmult_columns operator

SPARSE package, 3049

spmult_rows operator

SPARSE package, 3050

spn Turtle function, 3051

sppivot operator

SPARSE package, 3052

sppseudo_inverse operator

SPARSE package, 3053

spremove_columns operator

SPARSE package, 3054

spremove_rows operator

SPARSE package, 3055

sprow_dim operator

SPARSE package, 3056

sprows_pivot operator

SPARSE package, 3057

spstack_rows operator

SPARSE package, 3058

spsub_matrix operator

SPARSE package, 3059

spsvd operator

SPARSE package, 3060

spswap_columns operator

SPARSE package, 3061

spswap_entries operator

SPARSE package, 3062

spswap_rows operator

SPARSE package, 3063

spur declaration, 3064

sqfrf, 3065

sqrt numerical operator, 3066

squarep predicate

LINALG package, 3067

SPARSE package, 3068

srt Turtle function, 3069

SSTOOLS package, 3070

stable quotient

CALI package, 3071

stack_rows operator

LINALG package, 3072

Standard form, 3073

Standard quotient, 3074

Startup ﬁle, 3075, 3076

state declaration

PHYSOP package, 3077

Statement, 3078

assignment, 3079

compound, 3080

conditional, 3081

for, 3082

for each, 3083

go to, 3084

Group, 3085, 3086

repeat, 3087

return, 3088

saveas, 3089

Set, 3090

Unset, 3091

while, 3092

Statement terminator, 3093

Stirling numbers, 3094, 3095, 3096

Stirling1, 3097

Stirling1 operator, 3098

Stirling2, 3099

Stirling2 operator, 3100

storegroup operator

SYMMETRY package, 3101

String, 3102

STRUCTR operator, 3103

structure_equations operator

EDS package, 3104

Structuring, 3105

Struve functions, 3106, 3107, 3108

StruveH operator, 3109

SPECFN package, 3110

StruveH transform, 3111

struveh_transform operator, 3112

StruveL operator, 3113

SPECFN package, 3114

Sturm Sequences, 3115

Sturm, Thomas, 3116, 3117, 3118, 3119, 3120, 3121

sub operator, 3122, 3123

sub_matrix operator

LINALG package, 3124

sublist symbol

CALI package, 3125

submat operator

ASSIST package, 3126

submodulep operator

CALI package, 3127

submodulep!* symbolic procedure

CALI package, 3128

subset (ideal inclusion test) inﬁx operator

IDEALS package, 3129

subset operator

SETS package, 3130

subset_eq operator

SETS package, 3131

Subspaces

Cantens package, 3132

subspaces, 3133

substitute operator

ASSIST package, 3134

Substitution, 3135

such that, 3136

sum keyword, 3137

sum operator

SUM package, 3138

SUM package, 3139

sum!-sq operator

SUM package, 3140

sumrecursion operator

ZEILBERG package, 3141

sumtohyper operator

ZEILBERG package, 3142

sumvect operator

ASSIST package, 3143

super_product operator

CDE package, 3144

super_vectorfield operator

CDIﬀ package, 3145

suppress operator

ASSIST package, 3146

SUSY2 package, 3147

svd operator

LINALG package, 3148

svec procedure

ORTHOVEC package, 3149

swap_columns operator

LINALG package, 3150

swap_entries operator

LINALG package, 3151

swap_rows operator

LINALG package, 3152

Switch, 3153, 3154

adjprec, 3155

algint, 3156

allbranch, 3157

allfac, 3158, 3159, 3160, 3161

allowdfint, 3162

anticom, 3163

arbvars, 3164

balanced_mod, 3165, 3166

bcsimp, 3167, 3168

bezout, 3169

bfspace, 3170

checkord, 3171

combineexpt, 3172

combinelogs, 3173

commutedf, 3174

comp, 3175

complex, 3176, 3177, 3178, 3179

contract, 3180

cramer, 3181, 3182

cref, 3183, 3184

defn, 3185, 3186, 3187

demo, 3188

detectunits, 3189, 3190

dfint, 3191

dfprint, 3192

dispjacobian, 3193

distribute, 3194, 3195

div, 3196, 3197

echo, 3198

errcont, 3199

evallhseqp, 3200

exdelt, 3201, 3202

exp, 3203, 3204, 3205

expanddf, 3206

expandlogs, 3207

ezgcd, 3208

factor, 3209, 3210

factorprimes, 3211

factorunits, 3212, 3213

failhard, 3214

fast_la, 3215

fastsimplex, 3216

fort, 3217

fortupper, 3218

fullroots, 3219

gcd, 3220, 3221

gltbasis, 3222, 3223

glterms, 3224

groebfullreduction, 3225, 3226

groebopt, 3227, 3228, 3229

groebprot, 3230

groebstat, 3231, 3232

hardzerotest, 3233

heugcd, 3234

horner, 3235

ifactor, 3236

imaginary, 3237

int, 3238

intstr, 3239

lasimp, 3240

latex, 3241

lcm, 3242

lexefgb, 3243, 3244, 3245

lhyp, 3246

list, 3247

listargs, 3248

lmon, 3249

lower_matrix, 3250

ltrig, 3251

mcd, 3252, 3253

modular, 3254, 3255, 3256

msg, 3257

multiplicities, 3258

multiroot, 3259

nat, 3260, 3261

nero, 3262

nocommutedf, 3263

noconvert, 3264

noerrsimplex, 3265

Noetherian, 3266, 3267, 3268, 3269

nointsubst, 3270

nolnr, 3271

nosplit, 3272

nosum, 3273

not_negative, 3274

odesolve_basis, 3275

odesolve_check, 3276

odesolve_expand, 3277

odesolve_explicit, 3278

odesolve_fast, 3279

odesolve_full, 3280

odesolve_implicit, 3281

odesolve_noint, 3282

odesolve_verbose, 3283

onespace, 3284, 3285, 3286, 3287

only_integer, 3288

output, 3289

overview, 3290

period, 3291

pgwd, 3292

plap, 3293

plotkeep, 3294

precise, 3295, 3296

precise_complex, 3297

pret, 3298, 3299

pri, 3300

psprintorder, 3301

pwrds, 3302

qgosper_down, 3303, 3304

qgosper_specialsol, 3305

qsum_nullspace, 3306, 3307

qsum_trace, 3308

qsumrecursion_certificate, 3309, 3310

qsumrecursion_down, 3311

qsumrecursion_exp, 3312

rat, 3313

ratarg, 3314, 3315

rational, 3316

rationalize, 3317

ratpri, 3318

ratroot, 3319

red_total, 3320, 3321

revpri, 3322

rootmsg, 3323

roundall, 3324

roundbf, 3325

rounded, 3326, 3327, 3328, 3329, 3330, 3331, 3332, 3333, 3334

rtrace, 3335, 3336

savesfs, 3337

savestructr, 3338

simpnoncomdf, 3339

solvesingular, 3340

symantic, 3341

symmetric, 3342

sysm!-assoc, 3343

taylorautocombine, 3344

taylorautoexpand, 3345, 3346

taylorkeeporiginal, 3347, 3348, 3349, 3350

taylorprintorder, 3351

time, 3352, 3353

tr_lie, 3354

tra, 3355

traceratint, 3356

tracetrig, 3357

trcompact, 3358

trdefint, 3359

trfac, 3360

trgroeb, 3361, 3362

trgroeb1, 3363, 3364

trgroebr, 3365

trgroebs, 3366, 3367

trigform, 3368

trint, 3369, 3370

trintsubst, 3371

trnumeric, 3372

trode, 3373

trplot, 3374

trpm, 3375

trroot, 3376

trsolve, 3377

trsum, 3378

trwu, 3379

trxideal, 3380

trxmod, 3381

upper_matrix, 3382

varopt, 3383, 3384

verbatim, 3385

verboseload, 3386

xfullreduce, 3387

zb_factor, 3388

zb_proof, 3389

zb_trace, 3390, 3391

switch hardzerotest

CALI package, 3392

switch lexefgb

CALI package, 3393

Switches by package

REDUCE Core

adjprec, 3394

allbranch, 3395

allfac, 3396, 3397, 3398, 3399

allowdfint, 3400

arbvars, 3401

balanced_mod, 3402, 3403

bezout, 3404

bfspace, 3405

combineexpt, 3406

combinelogs, 3407

commutedf, 3408

comp, 3409

complex, 3410, 3411, 3412, 3413

cramer, 3414, 3415

cref, 3416, 3417

defn, 3418, 3419, 3420

demo, 3421

dfint, 3422

dfprint, 3423

dispjacobian, 3424

div, 3425, 3426

echo, 3427

errcont, 3428

evallhseqp, 3429

exp, 3430, 3431, 3432

expanddf, 3433

expandlogs, 3434

ezgcd, 3435

factor, 3436, 3437

failhard, 3438

fort, 3439

fortupper, 3440

fullroots, 3441

gcd, 3442, 3443

heugcd, 3444

horner, 3445

ifactor, 3446

int, 3447

intstr, 3448

lcm, 3449

list, 3450

listargs, 3451

mcd, 3452, 3453

modular, 3454, 3455, 3456

msg, 3457

multiplicities, 3458

nat, 3459, 3460

nero, 3461

nocommutedf, 3462

noconvert, 3463

nointsubst, 3464

nolnr, 3465

nosplit, 3466

output, 3467

overview, 3468

period, 3469

pgwd, 3470

plap, 3471

precise, 3472, 3473

precise_complex, 3474

pret, 3475, 3476

pri, 3477

pwrds, 3478

rat, 3479

ratarg, 3480, 3481

rational, 3482

rationalize, 3483

ratpri, 3484

revpri, 3485

roundall, 3486

roundbf, 3487

rounded, 3488, 3489, 3490, 3491, 3492, 3493, 3494, 3495, 3496

savesfs, 3497

savestructr, 3498

simpnoncomdf, 3499

solvesingular, 3500

time, 3501, 3502

trcompact, 3503

trdefint, 3504

trfac, 3505

trigform, 3506

trint, 3507

trintsubst, 3508

varopt, 3509, 3510

ALGINT package

algint, 3511

tra, 3512

trint, 3513

ASSIST package

distribute, 3514, 3515

CALI package

bcsimp, 3516, 3517

detectunits, 3518, 3519

factorprimes, 3520

factorunits, 3521, 3522

hardzerotest, 3523

lexefgb, 3524, 3525, 3526

Noetherian, 3527, 3528, 3529, 3530

red_total, 3531, 3532

CANTENS package

exdelt, 3533, 3534

onespace, 3535, 3536, 3537, 3538

CDE package

checkord, 3539

EXCALC package

nosum, 3540

GNUPLOT package

plotkeep, 3541

trplot, 3542

GROEBNER package

gltbasis, 3543, 3544

glterms, 3545

groebfullreduction, 3546, 3547

groebopt, 3548, 3549, 3550

groebprot, 3551

groebstat, 3552, 3553

trgroeb, 3554, 3555

trgroeb1, 3556, 3557

trgroebr, 3558

trgroebs, 3559, 3560

LAPLACE package

lhyp, 3561

lmon, 3562

ltrig, 3563

LIE package

tr_lie, 3564

LINALG package

fastsimplex, 3565

imaginary, 3566

lower_matrix, 3567

noerrsimplex, 3568

not_negative, 3569

only_integer, 3570

symmetric, 3571

upper_matrix, 3572

NUMERIC package

trnumeric, 3573

ODESOLVE package

odesolve_basis, 3574

odesolve_check, 3575

odesolve_expand, 3576

odesolve_explicit, 3577

odesolve_fast, 3578

odesolve_full, 3579

odesolve_implicit, 3580

odesolve_noint, 3581

odesolve_verbose, 3582

trode, 3583

PHYSOP package

anticom, 3584

contract, 3585

PM package

symantic, 3586

sysm!-assoc, 3587

trpm, 3588

QSUM package

qgosper_down, 3589, 3590

qgosper_specialsol, 3591

qsum_nullspace, 3592, 3593

qsum_trace, 3594

qsumrecursion_certificate, 3595, 3596

qsumrecursion_down, 3597

qsumrecursion_exp, 3598

RATINT package

traceratint, 3599

RLﬁ package

lasimp, 3600

latex, 3601

verbatim, 3602

ROOTS package

multiroot, 3603

ratroot, 3604

rootmsg, 3605

trroot, 3606

RSOLVE package

trsolve, 3607

RTRACE package

rtrace, 3608, 3609

SPARSE package

fast_la, 3610

SUM package

trsum, 3611

TAYLOR package

taylorautocombine, 3612

taylorautoexpand, 3613, 3614

taylorkeeporiginal, 3615, 3616, 3617, 3618

taylorprintorder, 3619

verboseload, 3620

TPS package

psprintorder, 3621

TRIGINT package

tracetrig, 3622

WU package

trwu, 3623

XIDEAL package

trxideal, 3624

trxmod, 3625

xfullreduce, 3626

ZEILBERG package

zb_factor, 3627

zb_proof, 3628

zb_trace, 3629, 3630

switches operator

ASSIST package, 3631

switchorg operator

ASSIST package, 3632

sx Turtle function, 3633

sy Turtle function, 3634

sym

CALI package, 3635

sym operator

CALI package, 3636

sym!* symbolic procedure

CALI package, 3637

symantic switch, 3638

symb_to_alg operator

ASSIST package, 3639

symbol_matrix operator

EDS package, 3640

symbol_relations operator

EDS package, 3641

symbolic, 3642

Symbolic indices

Cantens package, 3643

Symbolic mode, 3644, 3645, 3646, 3647, 3648

assignment, 3649

Symbolic procedure, 3650

symbolic_power operator

CALI package, 3651

symbolic_power!* symbolic procedure

CALI package, 3652

symdiff operator

ASSIST package, 3653

symmetric

tensor, 3654

symmetric declaration, 3655

CANTENS package, 3656

Symmetric Elliptic Integrals, 3657

Symmetric operator, 3658

symmetric switch, 3659

symmetricp predicate

LINALG package, 3660

SPARSE package, 3661

Symmetries

Cantens package, 3662

symmetrize operator

ASSIST package, 3663

CANTENS package, 3664

SYMMETRY package, 3665

symmetrybasis operator

SYMMETRY package, 3666

symmetrybasispart operator

SYMMETRY package, 3667

symtree command

DUMMY package, 3668

symtree declaration

CANTENS package, 3669

sysm!-assoc switch, 3670

system command, 3671

system operator

EDS package, 3672

system precision, 3673, 3674

syzygies operator

CALI package, 3675

syzygies!* symbolic procedure

CALI package, 3676

syzygies1!* symbolic procedure

CALI package, 3677

PrevTail

Front

Hosted by