Changeset 54fdec1 in git
- Timestamp:
- Nov 22, 2016, 5:33:47 PM (6 years ago)
- Branches:
- (u'jengelh-datetime', 'ceac47cbc86fe4a15902392bdbb9bd2ae0ea02c6')(u'spielwiese', 'f875bbaccd0831e36aaed09ff6adeb3eb45aeb94')
- Children:
- 70c783f4a4f87efd76767b2cb74658b9328253dfcace5e491410c570415d0e0397c933c96b7db405
- Parents:
- 8b4e9721ac4d18cd7d8f82caf4c19228b9f153e4
- Files:
-
- 3 edited
-
doc/NEWS.texi (modified) (1 diff)
-
doc/singular.idx (modified) (157 diffs)
-
emacs/hlp-cmpl.el (modified) (8 diffs)
Legend:
- Unmodified
- Added
- Removed
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doc/NEWS.texi
r8b4e972 r54fdec1 24 24 New libraries: 25 25 @itemize 26 @item goettsche.li a:bGoettsche's formula for the Betti numbers of the Hilbert scheme26 @item goettsche.lib: Goettsche's formula for the Betti numbers of the Hilbert scheme 27 27 of points on a surface, Macdonald's formula for the symmetric product (@nref{goettsche_lib}) 28 28 @end itemize -
doc/singular.idx
r8b4e972 r54fdec1 197 197 Basic programming sing_788.htm#SEC840 198 198 Basic programming sing_788.htm#SEC840 199 BelongSemig sing_229 0.htm#SEC236622405200 BerlekampMassey sing_234 0.htm#SEC24162172199 BelongSemig sing_2295.htm#SEC2371 22405 200 BerlekampMassey sing_2345.htm#SEC2421 2172 201 201 Bern sing_2268.htm#SEC2344 64051 202 202 Bernstein operator sing_532.htm#IDX331 … … 207 207 Bernstein-Sato polynomial for variety sing_588.htm#IDX353 208 208 Betti number Syzygies and resolutions sing_847.htm#SEC904 209 BettiNumsH sing_2375.htm#SEC2451 18661 210 BettiNumsS sing_2378.htm#SEC2454 14964 209 211 Bigatti-La Scala-Robbiano algorithm Bigatti and La Scala and Robbiano sing_857.htm#SEC914 210 212 BlowingUp sing_1493.htm#SEC1569 43153 211 213 Blowupcenter sing_1373.htm#SEC1449 3423 212 214 BorelCheck sing_1448.htm#SEC1524 48787 213 Bott's formula sing_2 496.htm#IDX977215 Bott's formula sing_2508.htm#IDX977 214 216 Branches of space curve singularities Branches of space curve singularities sing_821.htm#SEC873 215 217 Briancon-Maisonobe algorithm sing_532.htm#IDX337 … … 233 235 Buchberger algorithm for toric ideals Buchberger algorithm sing_858.htm#SEC915 234 236 Budur-Mustata-Saito approach sing_588.htm#IDX357 235 Building Singular sing_25 50.htm#SEC2639237 Building Singular sing_2562.htm#SEC2652 236 238 C programming language Major differences to the C programming language sing_401.htm#SEC441 237 239 C, module ordering sing_840.htm#IDX411 … … 240 242 CMtype sing_1604.htm#SEC1680 24849 241 243 CRHT-ideal sing_864.htm#SEC928 244 CSMA sing_2291.htm#SEC2367 49080 242 245 CYGWIN and ESingular Running SINGULAR under Emacs sing_23.htm#SEC33 243 246 Castelnuovo-Mumford regularity sing_1435.htm#IDX608 … … 251 254 Characteristic sets sing_848.htm#SEC905 252 255 CharacteristicExponents CharacteristicExponents sing_1499.htm#SEC1575 21795 253 ChernClass sing_25 09.htm#SEC258532965256 ChernClass sing_2521.htm#SEC2597 32965 254 257 ChernRootsDual sing_2247.htm#SEC2323 40100 255 258 ChernRootsHom sing_2256.htm#SEC2332 48446 … … 260 263 Chevalley-Rosenlicht theorem sing_1351.htm#IDX577 261 264 Chevalley-Rosenlicht theorem sing_1352.htm#IDX580 262 Chow ring, abstract variety, projective space, Grassmannian ChowRing sing_25 00.htm#IDX982263 ChowRing sing_25 00.htm#SEC257657977265 Chow ring, abstract variety, projective space, Grassmannian ChowRing sing_2512.htm#IDX982 266 ChowRing sing_2512.htm#SEC2588 57977 264 267 Classification of hypersurface singularities Classification of hypersurface singularities sing_822.htm#SEC874 265 Classification of singularities sing_2 492.htm#IDX969268 Classification of singularities sing_2504.htm#IDX969 266 269 Code Codes and the decoding problem sing_863.htm#SEC921 267 270 Codes and the decoding problem Codes and the decoding problem sing_863.htm#SEC920 268 271 Coding theory sing_1774.htm#SEC1850 269 Coefficient rings Notes for Singular users sing_25 48.htm#SEC2631272 Coefficient rings Notes for Singular users sing_2560.htm#SEC2644 270 273 Command line options Command line options sing_19.htm#SEC26 271 274 Commands Functions and system variables sing_201.htm#SEC241 … … 274 277 Commutative algebra sing_1089.htm#SEC1165 275 278 CompDecomp sing_494.htm#SEC546 9959 276 CompInt sing_229 2.htm#SEC23687518279 CompInt sing_2297.htm#SEC2373 7518 277 280 CompleteHomog sing_2235.htm#SEC2311 42123 278 ComplexValue sing_236 2.htm#SEC243845546281 ComplexValue sing_2367.htm#SEC2443 45546 279 282 Comprehensive Groebner System sing_903.htm#IDX429 280 283 Computing Groebner and Standard Bases Computing Groebner and Standard Bases sing_797.htm#SEC849 … … 329 332 Demo mode sing_24.htm#SEC35 330 333 Depth sing_808.htm#SEC860 331 Determinacy sing_2 495.htm#IDX973334 Determinacy sing_2507.htm#IDX973 332 335 Di Biase-Urbanke algorithm Di Biase and Urbanke sing_856.htm#SEC913 333 336 Distributed computing sing_931.htm#IDX478 … … 359 362 Emacs, user interface Emacs user interface sing_21.htm#SEC28 360 363 Emaxcont sing_1381.htm#SEC1457 47312 361 Enumerative geometry sing_2 496.htm#IDX975364 Enumerative geometry sing_2508.htm#IDX975 362 365 Equal sing_1335.htm#SEC1411 19984 363 366 Eresol sing_1371.htm#SEC1447 12842 367 EulerAff sing_2292.htm#SEC2368 54325 368 EulerProj sing_2293.htm#SEC2369 13537 364 369 Evaluation of logical expressions Evaluation of logical expressions sing_403.htm#SEC443 365 370 Examples sing_786.htm#SEC838 … … 383 388 Free resolution sing_805.htm#SEC857 384 389 Free resolution, graded Handling graded modules sing_806.htm#SEC858 390 FultonA sing_2290.htm#SEC2366 33688 385 391 Functions sing_202.htm#SEC242 386 Future benefits of Singular 4 Notes for Singular users sing_25 48.htm#SEC2637392 Future benefits of Singular 4 Notes for Singular users sing_2560.htm#SEC2650 387 393 G-algebra sing_478.htm#SEC518 388 394 G-algebra sing_478.htm#SEC520 … … 390 396 GBWeight sing_561.htm#SEC613 24641 391 397 GBsolve sing_1688.htm#SEC1764 16830 392 GIT sing_23 74.htm#IDX949398 GIT sing_2386.htm#IDX949 393 399 GKZsystem sing_678.htm#SEC730 20528 394 400 GKdim sing_651.htm#SEC703 9814 395 401 GMP sing_1.htm#IDX3 396 GMP sing_25 52.htm#SEC2641397 GND.lib sing_23 81.htm#SEC2457398 GND_lib sing_23 81.htm#SEC2457402 GMP sing_2564.htm#SEC2654 403 GND.lib sing_2393.htm#SEC2469 404 GND_lib sing_2393.htm#SEC2469 399 405 GTZmod sing_1197.htm#SEC1273 30091 400 406 GTZopt sing_1204.htm#SEC1280 14642 … … 428 434 Getting started sing_5.htm#SEC11 429 435 Global orderings sing_838.htm#SEC890 436 GoettscheF sing_2373.htm#SEC2449 27881 430 437 Graded commutative algebras Graded commutative algebras (SCA) sing_482.htm#SEC534 431 Grassmannian sing_25 01.htm#SEC257743898432 Grassmannian, abstract variety, Schubert calculus Grassmannian sing_25 01.htm#IDX983438 Grassmannian sing_2513.htm#SEC2589 43898 439 Grassmannian, abstract variety, Schubert calculus Grassmannian sing_2513.htm#IDX983 433 440 Greuel, Gert-Martin sing_1.htm#IDX18 434 441 Groebner Bases Computing Groebner and Standard Bases sing_797.htm#SEC849 … … 444 451 Groebner walk sing_1140.htm#IDX535 445 452 Groebner walk sing_1142.htm#IDX537 446 Groebner walk sing_24 85.htm#IDX964447 Groebner walk sing_24 86.htm#IDX965453 Groebner walk sing_2497.htm#IDX964 454 Groebner walk sing_2498.htm#IDX965 448 455 Groebnerwalk sing_1136.htm#IDX531 449 Groebnerwalk sing_24 20.htm#IDX958450 Groebnerwalk sing_24 84.htm#IDX963451 Groebnerwalk sing_2 488.htm#IDX968456 Groebnerwalk sing_2432.htm#IDX958 457 Groebnerwalk sing_2496.htm#IDX963 458 Groebnerwalk sing_2500.htm#IDX968 452 459 Gromov-Witten invariants sing_1125.htm#IDX511 453 460 Gromov-Witten invariants sing_1131.htm#IDX520 454 461 Gromov-Witten invariants sing_1132.htm#IDX524 455 Gromov-Witten invariants, lines on hypersurfaces linesHypersurface sing_25 26.htm#IDX995456 Gromov-Witten invariants, multiple covers sing_25 25.htm#IDX994457 Gromov-Witten invariants, rational curves on Calabi-Yau threefolds sumofquotients sing_25 27.htm#IDX996458 Gromov-Witten invariants, rational curves on Calabi-Yau threefolds sing_25 28.htm#IDX997459 Gromov-Witten invariants. sing_2 496.htm#IDX978462 Gromov-Witten invariants, lines on hypersurfaces linesHypersurface sing_2538.htm#IDX995 463 Gromov-Witten invariants, multiple covers sing_2537.htm#IDX994 464 Gromov-Witten invariants, rational curves on Calabi-Yau threefolds sumofquotients sing_2539.htm#IDX996 465 Gromov-Witten invariants, rational curves on Calabi-Yau threefolds sing_2540.htm#IDX997 466 Gromov-Witten invariants. sing_2508.htm#IDX978 460 467 Gweights sing_706.htm#SEC758 651 461 468 H2basis sing_1571.htm#SEC1647 3414 462 HHnormalForm sing_230 0.htm#SEC237633972469 HHnormalForm sing_2305.htm#SEC2381 33972 463 470 Hamburger-Noether expansion sing_1451.htm#IDX612 464 471 Hamburger-Noether expansion sing_1539.htm#IDX734 … … 491 498 Implemented algorithms Implemented algorithms sing_33.htm#SEC47 492 499 Incl sing_1334.htm#SEC1410 7621 493 Index sing_25 57.htm#SEC2646500 Index sing_2569.htm#SEC2659 494 501 Info string sing_52.htm#SEC89 495 502 InterDiv sing_1402.htm#SEC1478 46142 … … 497 504 Interrupting SINGULAR Interrupting SINGULAR sing_17.htm#SEC24 498 505 IntersectWithSub sing_683.htm#SEC735 56289 499 Intersection theory sing_2 496.htm#IDX974506 Intersection theory sing_2508.htm#IDX974 500 507 IntersectionMatrix sing_1500.htm#SEC1576 29351 501 508 Introduction sing_2.htm#SEC4 … … 524 531 KSlinear sing_1563.htm#SEC1639 19896 525 532 KSpencerKernel sing_1611.htm#SEC1687 12490 526 KeneshlouMatrixPresentation KeneshlouMatrixPresentation sing_24 00.htm#SEC247620741533 KeneshlouMatrixPresentation KeneshlouMatrixPresentation sing_2412.htm#SEC2488 20741 527 534 Kernel of module homomorphisms Kernel of module homomorphisms sing_812.htm#SEC864 528 535 KoszulHomology sing_1161.htm#SEC1237 sprintf … … 545 552 Libraries sing_789.htm#SEC841 546 553 Libraries in the SINGULAR Documentation Libraries in the SINGULAR Documentation sing_49.htm#SEC86 547 Library versioning Notes for Singular users sing_25 48.htm#SEC2635554 Library versioning Notes for Singular users sing_2560.htm#SEC2648 548 555 Lie algebra sing_1352.htm#IDX578 549 556 Lie group sing_1355.htm#IDX583 … … 560 567 Long coefficients sing_791.htm#SEC843 561 568 M, ordering sing_841.htm#SEC893 562 MVComplex sing_2316.htm#SEC2392 62126 563 Macintosh installation Macintosh installation instructions sing_2556.htm#SEC2645 569 MVComplex sing_2321.htm#SEC2397 62126 570 MacdonaldF sing_2376.htm#SEC2452 12751 571 Macintosh installation Macintosh installation instructions sing_2568.htm#SEC2658 564 572 Mathematical background Mathematical background sing_844.htm#SEC896 565 573 Mathematical background (plural) Mathematical background (plural) sing_477.htm#SEC517 … … 570 578 MillerRabin sing_1881.htm#SEC1957 15740 571 579 Milnor number Milnor and Tjurina number sing_815.htm#SEC867 572 Milnor number sing_2 494.htm#IDX972580 Milnor number sing_2506.htm#IDX972 573 581 Min sing_1581.htm#SEC1657 29622 574 MinMult sing_229 1.htm#SEC236739835582 MinMult sing_2296.htm#SEC2372 39835 575 583 MinimalDecomposition MinimalDecomposition sing_1675.htm#SEC1751 24161 576 584 Minimum distance sing_1789.htm#IDX775 … … 584 592 Monomial orderings sing_835.htm#SEC887 585 593 Monomial orderings, Term orderings sing_31.htm#SEC44 586 Morse lemma sing_2 493.htm#IDX970594 Morse lemma sing_2505.htm#IDX970 587 595 MultiplicitySequence MultiplicitySequence sing_1498.htm#SEC1574 1309 588 596 NF sing_326.htm#SEC366 … … 596 604 Names in procedures sing_46.htm#SEC83 597 605 Names, indexed sing_37.htm#SEC65 598 New libraries depending on Singular 4 Notes for Singular users sing_25 48.htm#SEC2633599 New orderings for modules Notes for Singular users sing_25 48.htm#SEC2636606 New libraries depending on Singular 4 Notes for Singular users sing_2560.htm#SEC2646 607 New orderings for modules Notes for Singular users sing_2560.htm#SEC2649 600 608 Newton non-degenerate sing_1553.htm#IDX748 601 609 Newton polygon sing_1552.htm#IDX747 602 610 Newton polygon sing_1553.htm#IDX749 603 Newton polygons sing_25 35.htm#IDX1000611 Newton polygons sing_2547.htm#IDX1000 604 612 Newton polytope sing_2052.htm#IDX792 605 613 NoetherPosition sing_1211.htm#SEC1287 18735 … … 612 620 Normal form sing_845.htm#IDX415 613 621 Normalization sing_811.htm#SEC863 614 Notes for Singular users Notes for Singular users sing_25 48.htm#SEC2630615 Notes for developers Notes for developers sing_25 49.htm#SEC2638622 Notes for Singular users Notes for Singular users sing_2560.htm#SEC2643 623 Notes for developers Notes for developers sing_2561.htm#SEC2651 616 624 NullCone sing_1676.htm#SEC1752 64635 617 625 NumIrrDecom sing_1348.htm#SEC1424 sprintf … … 632 640 PLURAL sing_413.htm#SEC453 633 641 PLURAL LIBs Non-commutative libraries sing_489.htm#SEC541 634 ParToVar sing_2364.htm#SEC2440 13991 642 PPolyH sing_2374.htm#SEC2450 25241 643 PPolyS sing_2377.htm#SEC2453 13817 644 ParToVar sing_2369.htm#SEC2445 13991 635 645 Parallelization Parallelization with ssi links sing_795.htm#SEC847 636 646 Parallelization sing_931.htm#IDX476 … … 640 650 Parametrization, image. sing_1367.htm#IDX602 641 651 PartC sing_2286.htm#SEC2362 54120 642 PartitionVar sing_236 1.htm#SEC243741350643 Path names Notes for Singular users sing_25 48.htm#SEC2634652 PartitionVar sing_2366.htm#SEC2442 41350 653 Path names Notes for Singular users sing_2560.htm#SEC2647 644 654 PerfectPowerTest sing_1844.htm#SEC1920 17450 645 655 Perturbation walk sing_1141.htm#IDX536 … … 696 706 References sing_869.htm#SEC943 697 707 References (plural) sing_481.htm#SEC531 698 Release Notes sing_25 44.htm#SEC2620708 Release Notes sing_2556.htm#SEC2632 699 709 ResTree sing_1403.htm#SEC1479 58727 700 710 Resolution sing_11.htm#SEC17 … … 704 714 ReynoldsOperator sing_1678.htm#SEC1754 14986 705 715 RiemannRochBN sing_2231.htm#SEC2307 20085 706 RiemannRochHess sing_24 19.htm#SEC2495sprintf716 RiemannRochHess sing_2431.htm#SEC2507 sprintf 707 717 Right Groebner bases and syzygies Right Groebner bases and syzygies sing_829.htm#SEC881 708 Ring-dependent options Notes for Singular users sing_25 48.htm#SEC2632718 Ring-dependent options Notes for Singular users sing_2560.htm#SEC2645 709 719 Rings and orderings sing_28.htm#SEC39 710 720 Rings and standard bases Rings and standard bases sing_7.htm#SEC13 … … 731 741 Schreyer ordering sing_1006.htm#IDX492 732 742 Schreyer resolution sing_1006.htm#IDX493 733 Schubert calculus sing_2 496.htm#IDX976734 SchubertClass sing_25 33.htm#SEC260962336743 Schubert calculus sing_2508.htm#IDX976 744 SchubertClass sing_2545.htm#SEC2621 62336 735 745 SchurCh sing_2283.htm#SEC2359 58575 736 746 SchurS sing_2282.htm#SEC2358 46004 737 747 Scontinue sing_1010.htm#SEC1086 11534 748 SegreA sing_2289.htm#SEC2365 55776 738 749 Semigroup sing_1491.htm#SEC1567 22323 739 750 Setting up a G-algebra sing_478.htm#SEC522 … … 741 752 SimplifyIdeal sing_1679.htm#SEC1755 sprintf 742 753 Singular sing_350.htm#IDX255 743 Singular 3 and Singular 4 Singular 3 and Singular 4 sing_25 46.htm#SEC2628754 Singular 3 and Singular 4 Singular 3 and Singular 4 sing_2558.htm#SEC2641 744 755 Singular, customization of Emacs user interface Customization of the Emacs interface sing_25.htm#SEC36 745 756 Singular, demo mode sing_24.htm#SEC35 … … 759 770 Space curve singularities, branches of Branches of space curve singularities sing_821.htm#SEC873 760 771 Special characters sing_36.htm#SEC64 761 Splitting lemma sing_2 493.htm#IDX971772 Splitting lemma sing_2505.htm#IDX971 762 773 Sres sing_1008.htm#SEC1084 60186 763 774 Ssi file links sing_114.htm#SEC154 … … 790 801 Teaching sing_1840.htm#SEC1916 791 802 Template for writing a library sing_55.htm#SEC92 792 TestGRRes sing_2 399.htm#SEC24758315803 TestGRRes sing_2411.htm#SEC2487 8315 793 804 TestJMark sing_1446.htm#SEC1522 41314 794 805 The SINGULAR language The SINGULAR language sing_34.htm#SEC56 795 806 The Tran algorithm sing_1138.htm#IDX533 796 807 The fractal walk algorithm sing_1137.htm#IDX532 797 The fractal walk algorithm sing_24 87.htm#IDX966808 The fractal walk algorithm sing_2499.htm#IDX966 798 809 The online help system The online help system sing_16.htm#SEC22 799 810 Tjurina sing_1596.htm#SEC1672 11249 … … 809 820 Typesetting of help and info strings Typesetting of help and info strings sing_61.htm#SEC98 810 821 U_D_O sing_1078.htm#SEC1154 26192 811 Unix installation Unix installation instructions sing_25 54.htm#SEC2643822 Unix installation Unix installation instructions sing_2566.htm#SEC2656 812 823 UpOneMatrix sing_724.htm#SEC776 63020 813 824 UpperMonomials sing_1579.htm#SEC1655 20941 … … 823 834 V-filtration sing_1536.htm#IDX717 824 835 V-filtration sing_1538.htm#IDX728 825 VarToPar sing_236 3.htm#SEC243910508836 VarToPar sing_2368.htm#SEC2444 10508 826 837 Variables, indexed sing_37.htm#SEC65 827 Version number Version schema for Singular sing_25 47.htm#SEC2629828 Version schema for Singular Version schema for Singular sing_25 47.htm#SEC2629838 Version number Version schema for Singular sing_2559.htm#SEC2642 839 Version schema for Singular Version schema for Singular sing_2559.htm#SEC2642 829 840 Version string sing_50.htm#SEC87 830 841 Visualization sing_1746.htm#SEC1822 … … 841 852 WeylClosure1 sing_763.htm#SEC815 15759 842 853 Wibmer's Lemma sing_920.htm#IDX473 843 Windows installation Windows installation instructions sing_25 55.htm#SEC2644854 Windows installation Windows installation instructions sing_2567.htm#SEC2657 844 855 WitSet sing_1347.htm#SEC1423 39803 845 856 WitSupSet sing_1346.htm#SEC1422 47758 … … 873 884 absfact_lib sing_1090.htm#SEC1166 874 885 absolute factorization. sing_1090.htm#IDX504 875 abstract variety, projective space, Grassmannian printVariety sing_2 497.htm#IDX979876 abstract variety, projective space, Grassmannian sing_2 498.htm#IDX980886 abstract variety, projective space, Grassmannian printVariety sing_2509.htm#IDX979 887 abstract variety, projective space, Grassmannian sing_2510.htm#IDX980 877 888 abstractR sing_1429.htm#SEC1505 22284 878 889 actionIsProper sing_1659.htm#SEC1735 52474 879 890 addNvarsTo sing_1005.htm#SEC1081 63123 880 891 addRat sing_781.htm#SEC833 4768 881 addSheaf sing_25 16.htm#SEC259227062892 addSheaf sing_2528.htm#SEC2604 27062 882 893 addcol sing_1047.htm#SEC1123 52204 883 894 addcores sing_974.htm#SEC1050 41254 … … 889 900 adjunction divisor sing_1776.htm#IDX767 890 901 admissibleSub sing_700.htm#SEC752 6583 891 afaces sing_23 75.htm#SEC245141634902 afaces sing_2387.htm#SEC2463 41634 892 903 affine code Fitzgerald-Lax method sing_866.htm#SEC935 893 904 ainvar.lib sing_1656.htm#SEC1732 … … 948 959 arcpoint.lib sing_1464.htm#SEC1540 949 960 arcpoint_lib sing_1464.htm#SEC1540 950 areZeroElements sing_24 61.htm#SEC253714728961 areZeroElements sing_2473.htm#SEC2549 14728 951 962 argument, default sing_44.htm#SEC81 952 963 argument, optional sing_44.htm#SEC81 … … 1010 1021 bFactor sing_579.htm#SEC631 15179 1011 1022 babyGiant sing_1879.htm#SEC1955 41113 1012 backward sing_235 0.htm#SEC2426112251023 backward sing_2355.htm#SEC2431 11225 1013 1024 bareiss sing_205.htm#SEC245 1014 1025 base2str sing_878.htm#SEC954 sprintf … … 1111 1122 cardGroup sing_1113.htm#SEC1189 5553 1112 1123 case No case or switch statement sing_404.htm#SEC444 1113 cccMatrixToPositiveIntvec cccMatrixToPositiveIntvec sing_25 39.htm#SEC2615553931124 cccMatrixToPositiveIntvec cccMatrixToPositiveIntvec sing_2551.htm#SEC2627 55393 1114 1125 cdd sing_1.htm#IDX10 1115 1126 cddlib sing_1.htm#IDX11 … … 1127 1138 central sing_2184.htm#IDX853 1128 1139 central.lib sing_511.htm#SEC563 1129 central1st sing_235 1.htm#SEC2427290901130 central2nd sing_235 2.htm#SEC2428375451140 central1st sing_2356.htm#SEC2432 29090 1141 central2nd sing_2357.htm#SEC2433 37545 1131 1142 central_lib sing_511.htm#SEC563 1132 1143 centralize sing_511.htm#IDX323 … … 1143 1154 chDual sing_2248.htm#SEC2324 17745 1144 1155 chHE sing_2244.htm#SEC2320 63916 1145 chHom sing_2257.htm#SEC2333 21291156 chHom sing_2257.htm#SEC2333 54776 1146 1157 chNum sing_2238.htm#SEC2314 54415 1147 1158 chNumbers sing_2239.htm#SEC2315 42134 … … 1168 1179 changeord sing_980.htm#SEC1056 55156 1169 1180 changeordTo sing_1003.htm#SEC1079 41903 1170 changes sing_25 45.htm#SEC26211181 changes sing_2557.htm#SEC2633 1171 1182 changevar sing_981.htm#SEC1057 32829 1172 1183 char sing_207.htm#SEC247 … … 1198 1209 chineseRem sing_1870.htm#SEC1946 38560 1199 1210 chinrem sing_210.htm#SEC250 1200 chinrempoly sing_24 80.htm#SEC2556423121211 chinrempoly sing_2492.htm#SEC2568 42312 1201 1212 chinrestp sing_1929.htm#SEC2005 24779 1202 cimonom.lib sing_22 89.htm#SEC23651203 cimonom_lib sing_22 89.htm#SEC23651213 cimonom.lib sing_2294.htm#SEC2370 1214 cimonom_lib sing_2294.htm#SEC2370 1204 1215 cisimplicial.lib sing_1109.htm#SEC1185 1205 1216 cisimplicial_lib sing_1109.htm#SEC1185 … … 1207 1218 classify.lib sing_1469.htm#SEC1545 1208 1219 classifyCeq sing_1488.htm#SEC1564 42719 1209 classifyMapGerms.lib classifyMapGerms_lib sing_230 1.htm#SEC23771210 classifyMapGerms_lib classifyMapGerms_lib sing_230 1.htm#SEC23771211 classifySimpleMaps sing_23 07.htm#SEC2383621761212 classifySimpleMaps1 sing_23 08.htm#SEC2384247891213 classify_aeq.lib sing_229 3.htm#SEC23691214 classify_aeq_lib sing_229 3.htm#SEC23691220 classifyMapGerms.lib classifyMapGerms_lib sing_2306.htm#SEC2382 1221 classifyMapGerms_lib classifyMapGerms_lib sing_2306.htm#SEC2382 1222 classifySimpleMaps sing_2312.htm#SEC2388 62176 1223 classifySimpleMaps1 sing_2313.htm#SEC2389 24789 1224 classify_aeq.lib sing_2298.htm#SEC2374 1225 classify_aeq_lib sing_2298.htm#SEC2374 1215 1226 classify_lib sing_1469.htm#SEC1545 1216 1227 classifyceq.lib sing_1487.htm#IDX635 … … 1227 1238 closetex sing_1752.htm#SEC1828 42334 1228 1239 closureFrac sing_1230.htm#SEC1306 9252 1229 coDim sing_230 3.htm#SEC2379606801230 coDimMap sing_230 2.htm#SEC237820021240 coDim sing_2308.htm#SEC2384 60680 1241 coDimMap sing_2307.htm#SEC2383 2002 1231 1242 coHom sing_753.htm#SEC805 51043 1232 1243 codim sing_1583.htm#SEC1659 14253 … … 1242 1253 coeffmod sing_1847.htm#SEC1923 23531 1243 1254 coeffs sing_214.htm#SEC254 1244 colength of derivations curveColengthDerivations sing_231 3.htm#IDX9251255 colength of derivations curveColengthDerivations sing_2318.htm#IDX925 1245 1256 collectDiv sing_1427.htm#SEC1503 50348 1246 1257 colrank sing_1819.htm#SEC1895 52290 … … 1271 1282 conductor sing_1238.htm#IDX561 1272 1283 conductor sing_1461.htm#IDX631 1273 conductor sing_231 1.htm#IDX9191284 conductor sing_2316.htm#IDX919 1274 1285 conductor, degree sing_1545.htm#IDX741 1275 1286 cone sing_183.htm#SEC223 … … 1301 1312 contraHom sing_754.htm#SEC806 24706 1302 1313 contract sing_215.htm#SEC255 1303 contribution bundle, graph, multiple cover, rational curve, contributionBundle sing_25 23.htm#IDX9921304 contributionBundle sing_25 23.htm#SEC2599328741314 contribution bundle, graph, multiple cover, rational curve, contributionBundle sing_2535.htm#IDX992 1315 contributionBundle sing_2535.htm#SEC2611 32874 1305 1316 contributors sing_350.htm#IDX200 1306 1317 control sing_1811.htm#SEC1887 44498 … … 1329 1340 cpu sing_350.htm#IDX273 1330 1341 createBO sing_1418.htm#SEC1494 32669 1331 createGradedRingHomomorphism createGradedRingHomomorphism sing_24 37.htm#SEC2513621771332 createGroup sing_24 30.htm#SEC2506285001333 createQuotientGroup sing_24 31.htm#SEC2507263741342 createGradedRingHomomorphism createGradedRingHomomorphism sing_2449.htm#SEC2525 62177 1343 createGroup sing_2442.htm#SEC2518 28500 1344 createQuotientGroup sing_2443.htm#SEC2519 26374 1334 1345 createTask sing_1015.htm#SEC1091 48404 1335 createTorsionFreeGroup createTorsionFreeGroup sing_24 32.htm#SEC2508519441346 createTorsionFreeGroup createTorsionFreeGroup sing_2444.htm#SEC2520 51944 1336 1347 createlist sing_1400.htm#SEC1476 61781 1337 1348 crypto.lib sing_1865.htm#SEC1941 … … 1341 1352 curve singularities sing_1451.htm#IDX614 1342 1353 curve singularities sing_1539.htm#IDX736 1343 curve singularity sing_23 09.htm#IDX9141344 curveColengthDerivations curveColengthDerivations sing_231 3.htm#SEC238920781345 curveConductorMult sing_231 1.htm#SEC2387158971346 curveDeligneNumber sing_231 2.htm#SEC2388122941347 curveDeltaInv sing_231 0.htm#SEC2386163751348 curveInv.lib sing_23 09.htm#SEC23851349 curveInv_lib sing_23 09.htm#SEC23851354 curve singularity sing_2314.htm#IDX914 1355 curveColengthDerivations curveColengthDerivations sing_2318.htm#SEC2394 2078 1356 curveConductorMult sing_2316.htm#SEC2392 15897 1357 curveDeligneNumber sing_2317.htm#SEC2393 12294 1358 curveDeltaInv sing_2315.htm#SEC2391 16375 1359 curveInv.lib sing_2314.htm#SEC2390 1360 curveInv_lib sing_2314.htm#SEC2390 1350 1361 curvepar.lib sing_1492.htm#SEC1568 1351 1362 curvepar_lib sing_1492.htm#SEC1568 … … 1362 1373 datetime sing_216.htm#SEC256 50127 1363 1374 dbprint sing_217.htm#SEC257 1364 deRham.lib sing_231 4.htm#SEC23901375 deRham.lib sing_2319.htm#SEC2395 1365 1376 deRhamCohom sing_569.htm#SEC621 58222 1366 1377 deRhamCohomIdeal sing_570.htm#SEC622 42169 1367 deRhamCohomology sing_23 15.htm#SEC2391419471368 deRham_lib sing_231 4.htm#SEC23901378 deRhamCohomology sing_2320.htm#SEC2396 41947 1379 deRham_lib sing_2319.htm#SEC2395 1369 1380 debugLib, option sing_307.htm#IDX176 1370 1381 debug_log sing_1482.htm#SEC1558 62043 … … 1388 1399 defRes, option sing_307.htm#IDX177 1389 1400 default argument sing_44.htm#SEC81 1390 defineHomogeneous sing_24 70.htm#SEC2546550721401 defineHomogeneous sing_2482.htm#SEC2558 55072 1391 1402 defined sing_218.htm#SEC258 1392 1403 defl sing_1349.htm#SEC1425 11825 … … 1404 1415 degree of a polynomial Miscellaneous oddities sing_410.htm#IDX294 1405 1416 degree reverse lexicographical ordering sing_838.htm#IDX391 1406 degreeDivisor sing_23 25.htm#SEC2401317511407 degreeFormalDivisor sing_233 3.htm#SEC2409425031417 degreeDivisor sing_2330.htm#SEC2406 31751 1418 degreeFormalDivisor sing_2338.htm#SEC2414 42503 1408 1419 degreepart sing_1692.htm#SEC1768 53036 1409 1420 delete sing_121.htm#SEC161 … … 1412 1423 deleteGenerator sing_584.htm#SEC636 24917 1413 1424 deleteSublist sing_884.htm#SEC960 20406 1414 deligne number curveColengthDerivations sing_23 09.htm#IDX9161415 deligne number sing_231 2.htm#IDX9211416 deligne number sing_231 3.htm#IDX9231425 deligne number curveColengthDerivations sing_2314.htm#IDX916 1426 deligne number sing_2317.htm#IDX921 1427 deligne number sing_2318.htm#IDX923 1417 1428 delta sing_1551.htm#SEC1627 56952 1418 1429 delta invariant sing_1232.htm#IDX559 1419 1430 delta invariant sing_1551.htm#IDX746 1420 delta invariant sing_231 0.htm#IDX9171431 delta invariant sing_2315.htm#IDX917 1421 1432 delta invariant. sing_1224.htm#IDX552 1422 1433 delta invariant. sing_1225.htm#IDX555 … … 1429 1440 derivate sing_1658.htm#SEC1734 15409 1430 1441 derivation sing_2187.htm#IDX857 1431 desingularization sing_23 81.htm#IDX952 590411432 desingularization sing_23 82.htm#SEC24581442 desingularization sing_2393.htm#IDX952 59041 1443 desingularization sing_2394.htm#SEC2470 1433 1444 det sing_223.htm#SEC263 1434 1445 det_B sing_1073.htm#SEC1149 60143 1435 1446 detadj sing_1567.htm#SEC1643 5914 1436 determinacy sing_2 495.htm#SEC2571448181447 determinacy sing_2507.htm#SEC2583 44818 1437 1448 determinecenter sing_1372.htm#SEC1448 44496 1438 1449 detropicalise sing_2142.htm#SEC2218 38025 … … 1449 1460 dimH sing_1439.htm#SEC1515 38534 1450 1461 dimMon sing_1188.htm#SEC1264 39971 1451 dimStack sing_25 21.htm#SEC2597477721462 dimStack sing_2533.htm#SEC2609 47772 1452 1463 dim_slocus sing_1585.htm#SEC1661 47218 1453 1464 dimension sing_2009.htm#SEC2085 35262 1454 dimension, moduli space of stable maps, rational curves dimStack sing_25 21.htm#IDX9901455 dimensionOfLocalization dimensionOfLocalization sing_23 69.htm#SEC2445256321465 dimension, moduli space of stable maps, rational curves dimStack sing_2533.htm#IDX990 1466 dimensionOfLocalization dimensionOfLocalization sing_2381.htm#SEC2457 25632 1456 1467 direct_boolean_poly sing_2215.htm#SEC2291 49893 1457 1468 direct_from_boolean_poly direct_from_boolean_poly sing_2221.htm#SEC2297 36941 … … 1482 1493 division (plural) sing_450.htm#SEC490 1483 1494 divisor sing_1932.htm#SEC2008 47231 1484 divisorplus sing_23 19.htm#SEC2395342481485 divisors negativeformaldivisor sing_23 18.htm#IDX9261486 divisors sing_23 19.htm#IDX9271487 divisors sing_232 0.htm#IDX9281488 divisors sing_232 1.htm#IDX9291489 divisors sing_232 2.htm#IDX9301490 divisors sing_232 3.htm#IDX9311491 divisors sing_232 4.htm#IDX9321492 divisors sing_23 25.htm#IDX9331493 divisors sing_23 26.htm#IDX9341494 divisors sing_23 27.htm#IDX9351495 divisors sing_23 28.htm#IDX9361496 divisors sing_23 29.htm#IDX9371497 divisors sing_233 0.htm#IDX9381498 divisors sing_233 1.htm#IDX9391499 divisors sing_233 2.htm#IDX9401500 divisors sing_233 3.htm#IDX9411501 divisors, polyhedra sing_233 4.htm#IDX9421502 divisors, polyhedra sing_23 35.htm#IDX9431503 divisors, polyhedra sing_23 36.htm#IDX9441504 divisors.lib sing_23 17.htm#SEC23931505 divisors_lib sing_23 17.htm#SEC23931495 divisorplus sing_2324.htm#SEC2400 34248 1496 divisors negativeformaldivisor sing_2323.htm#IDX926 1497 divisors sing_2324.htm#IDX927 1498 divisors sing_2325.htm#IDX928 1499 divisors sing_2326.htm#IDX929 1500 divisors sing_2327.htm#IDX930 1501 divisors sing_2328.htm#IDX931 1502 divisors sing_2329.htm#IDX932 1503 divisors sing_2330.htm#IDX933 1504 divisors sing_2331.htm#IDX934 1505 divisors sing_2332.htm#IDX935 1506 divisors sing_2333.htm#IDX936 1507 divisors sing_2334.htm#IDX937 1508 divisors sing_2335.htm#IDX938 1509 divisors sing_2336.htm#IDX939 1510 divisors sing_2337.htm#IDX940 1511 divisors sing_2338.htm#IDX941 1512 divisors, polyhedra sing_2339.htm#IDX942 1513 divisors, polyhedra sing_2340.htm#IDX943 1514 divisors, polyhedra sing_2341.htm#IDX944 1515 divisors.lib sing_2322.htm#SEC2398 1516 divisors_lib sing_2322.htm#SEC2398 1506 1517 dmod.lib sing_532.htm#SEC584 1507 1518 dmodAction sing_778.htm#SEC830 9763 … … 1518 1529 double sing_1937.htm#SEC2013 34697 1519 1530 doubleExt sing_746.htm#SEC798 56896 1520 downloading Download instructions sing_25 53.htm#SEC26421531 downloading Download instructions sing_2565.htm#SEC2655 1521 1532 dp, global ordering sing_838.htm#IDX392 1522 1533 drawNewtonSubdivision drawNewtonSubdivision sing_2120.htm#SEC2196 61060 … … 1527 1538 dualConic sing_2144.htm#SEC2220 31080 1528 1539 dualPart sing_2285.htm#SEC2361 13279 1529 dualPartition sing_25 34.htm#SEC2610247391540 dualPartition sing_2546.htm#SEC2622 24739 1530 1541 dualPolytope sing_2049.htm#SEC2125 32081 1531 dualSheaf sing_25 12.htm#SEC25886331542 dualSheaf sing_2524.htm#SEC2600 633 1532 1543 dual_code sing_1786.htm#SEC1862 57229 1533 1544 dump sing_227.htm#SEC267 … … 1537 1548 echo sing_388.htm#SEC428 1538 1549 eexgcdN sing_1867.htm#SEC1943 53237 1539 effective sing_23 27.htm#SEC2403530281550 effective sing_2332.htm#SEC2408 53028 1540 1551 egcdMain sing_1733.htm#SEC1809 25359 1541 1552 ehrhartPolynomialCoeff ehrhartPolynomialCoeff sing_2071.htm#SEC2147 38271 … … 1591 1602 environment variable, DISPLAY The online help system sing_16.htm#IDX29 1592 1603 equalJinI sing_1468.htm#SEC1544 18502 1593 equalMultiDeg sing_24 63.htm#SEC2539370901604 equalMultiDeg sing_2475.htm#SEC2551 37090 1594 1605 equations sing_2011.htm#SEC2087 7896 1595 1606 equiRadical sing_1284.htm#SEC1360 8884 … … 1606 1617 errorInsert sing_1797.htm#SEC1873 59470 1607 1618 errorRand sing_1798.htm#SEC1874 5727 1608 errormap sing_23 57.htm#SEC243377821619 errormap sing_2362.htm#SEC2438 7782 1609 1620 esIdeal sing_1510.htm#SEC1586 60477 1610 1621 esStratum sing_1511.htm#SEC1587 50094 … … 1615 1626 eulerChProj sing_2275.htm#SEC2351 28549 1616 1627 eval sing_229.htm#SEC269 1617 evaluateFormalDivisor evaluateFormalDivisor sing_23 29.htm#SEC240535351618 evaluatePDivisor sing_23 35.htm#SEC2411188551628 evaluateFormalDivisor evaluateFormalDivisor sing_2334.htm#SEC2410 3535 1629 evaluatePDivisor sing_2340.htm#SEC2416 18855 1619 1630 evaluate_reynolds sing_1631.htm#SEC1707 46353 1620 1631 evalutateIntegral sing_1130.htm#SEC1206 sprintf … … 1635 1646 exportNuminvs sing_1251.htm#SEC1327 10423 1636 1647 exportto sing_376.htm#SEC416 1637 expp sing_25 32.htm#SEC2608157511648 expp sing_2544.htm#SEC2620 15751 1638 1649 expression list sing_72.htm#IDX128 1639 1650 expression list sing_414.htm#IDX297 … … 1671 1682 factorLenstraECM sing_1897.htm#SEC1973 54951 1672 1683 factorMain sing_1734.htm#SEC1810 65152 1673 factorgroup sing_24 53.htm#SEC2529599141684 factorgroup sing_2465.htm#SEC2541 59914 1674 1685 factorial sing_885.htm#SEC961 32871 1675 1686 factorization sing_315.htm#SEC355 … … 1682 1693 fanViaCones sing_2038.htm#SEC2114 16418 1683 1694 farey sing_237.htm#SEC277 1684 fareypoly sing_23 38.htm#SEC2414123891695 fareypoly sing_2343.htm#SEC2419 12389 1685 1696 fastExpt sing_1842.htm#SEC1918 43912 1686 1697 fastHC, option sing_307.htm#IDX153 … … 1689 1700 fetch (plural) sing_453.htm#SEC493 1690 1701 fetchall sing_986.htm#SEC1062 7537 1691 ffmodStd sing_234 2.htm#SEC2418506801692 ffmodstd.lib sing_23 37.htm#SEC24131693 ffmodstd_lib sing_23 37.htm#SEC24131702 ffmodStd sing_2347.htm#SEC2423 50680 1703 ffmodstd.lib sing_2342.htm#SEC2418 1704 ffmodstd_lib sing_2342.htm#SEC2418 1694 1705 ffsolve sing_1685.htm#SEC1761 20432 1695 1706 ffsolve.lib sing_1684.htm#SEC1760 … … 1722 1733 finite field sing_1684.htm#IDX761 1723 1734 finiteDiagInvariants finiteDiagInvariants sing_1246.htm#SEC1322 3508 1724 finitediff.lib sing_234 3.htm#IDX9451725 finitediff_lib sing_234 3.htm#IDX9461735 finitediff.lib sing_2348.htm#IDX945 1736 finitediff_lib sing_2348.htm#IDX946 1726 1737 finitenessTest sing_1104.htm#SEC1180 40633 1727 1738 finvar.lib sing_1619.htm#SEC1695 … … 1730 1741 firstoct sing_1745.htm#SEC1821 11498 1731 1742 fitting sing_1150.htm#SEC1226 20661 1732 fixed points, moduli space of stable maps, graph fixedPoints sing_25 22.htm#IDX9911733 fixedPoints sing_25 22.htm#SEC2598253661743 fixed points, moduli space of stable maps, graph fixedPoints sing_2534.htm#IDX991 1744 fixedPoints sing_2534.htm#SEC2610 25366 1734 1745 fl2poly sing_582.htm#SEC634 51682 1735 1746 flatten sing_1035.htm#SEC1111 55617 … … 1737 1748 floating point sing_995.htm#IDX486 1738 1749 for sing_377.htm#SEC417 1739 formaldivisorplus sing_233 0.htm#SEC2406319591740 forward sing_23 49.htm#SEC2425153831750 formaldivisorplus sing_2335.htm#SEC2411 31959 1751 forward sing_2354.htm#SEC2430 15383 1741 1752 fourier sing_577.htm#SEC629 5326 1742 fouriersystem sing_236 0.htm#SEC2436436811753 fouriersystem sing_2365.htm#SEC2441 43681 1743 1754 fpadim.lib sing_593.htm#SEC645 1744 1755 fpadim_lib sing_593.htm#SEC645 1745 1756 fprintf sing_244.htm#SEC284 13662 1746 frandwalk sing_24 87.htm#SEC2563255551757 frandwalk sing_2499.htm#SEC2575 25555 1747 1758 free sing_2188.htm#IDX859 1748 1759 free sing_2189.htm#IDX861 … … 1779 1790 genSymId sing_1323.htm#SEC1399 17521 1780 1791 general error-locator polynomial sing_864.htm#SEC929 1781 general neron. sing_23 81.htm#IDX9531792 general neron. sing_2393.htm#IDX953 1782 1793 general weighted lexicographical ordering sing_839.htm#IDX408 1783 1794 general weighted reverse lexicographical ordering Local orderings sing_839.htm#IDX405 … … 1795 1806 genoutput sing_1393.htm#SEC1469 18973 1796 1807 genus sing_1228.htm#SEC1304 sprintf 1797 geometric invariant theory sing_23 74.htm#IDX9501808 geometric invariant theory sing_2386.htm#IDX950 1798 1809 geometrical locus FamElemsAtEnvCompPoints sing_913.htm#IDX450 1799 1810 geometrical locus sing_914.htm#IDX453 … … 1805 1816 getCommand sing_1025.htm#SEC1101 32181 1806 1817 getCone sing_2041.htm#SEC2117 41394 1807 getGradingGroup sing_24 28.htm#SEC2504181371808 getLattice sing_24 29.htm#SEC250577751818 getGradingGroup sing_2440.htm#SEC2516 18137 1819 getLattice sing_2441.htm#SEC2517 7775 1809 1820 getLinearForms sing_2016.htm#SEC2092 47590 1810 getModuleGrading sing_24 39.htm#SEC2515434511821 getModuleGrading sing_2451.htm#SEC2527 43451 1811 1822 getMultiplicity sing_2017.htm#SEC2093 639 1812 1823 getOneVar sing_1236.htm#SEC1312 55402 … … 1814 1825 getSmallest sing_1235.htm#SEC1311 1623 1815 1826 getState sing_1028.htm#SEC1104 36453 1816 getVariableWeights sing_24 27.htm#SEC250395911827 getVariableWeights sing_2439.htm#SEC2515 9591 1817 1828 getcores sing_976.htm#SEC1052 30785 1818 1829 getdump sing_249.htm#SEC289 … … 1821 1832 gfan_lib sing_1993.htm#SEC2069 1822 1833 gfanlib sing_1.htm#IDX9 1823 gitCone sing_23 76.htm#SEC2452238531824 gitFan sing_23 77.htm#SEC2453sprintf1825 gitfan sing_23 74.htm#IDX9481826 gitfan.lib sing_23 74.htm#SEC24501827 gitfan_lib sing_23 74.htm#SEC24501834 gitCone sing_2388.htm#SEC2464 23853 1835 gitFan sing_2389.htm#SEC2465 sprintf 1836 gitfan sing_2386.htm#IDX948 1837 gitfan.lib sing_2386.htm#SEC2462 1838 gitfan_lib sing_2386.htm#SEC2462 1828 1839 gkdim.lib sing_650.htm#SEC702 1829 1840 gkdim_lib sing_650.htm#SEC702 1830 gkzFan sing_23 78.htm#SEC2454354961841 gkzFan sing_2390.htm#SEC2466 35496 1831 1842 global sing_204.htm#IDX133 1832 1843 global Bernstein-Sato polynomial sing_497.htm#IDX311 1833 1844 global Bernstein-Sato polynomial sing_532.htm#IDX329 1834 1845 global Bernstein-Sato polynomial for variety sing_588.htm#IDX354 1835 globalSections sing_232 4.htm#SEC2400551911846 globalSections sing_2329.htm#SEC2405 55191 1836 1847 gmscoeffs sing_1517.htm#SEC1593 13182 1837 1848 gmsnf sing_1516.htm#SEC1592 44676 … … 1841 1852 gmssing.lib sing_1514.htm#SEC1590 1842 1853 gmssing_lib sing_1514.htm#SEC1590 1854 goettsche.lib sing_2372.htm#SEC2448 1855 goettsche_lib sing_2372.htm#SEC2448 1843 1856 good basis sing_1514.htm#IDX651 1844 1857 good basis sing_1524.htm#IDX706 … … 1848 1861 gorensteinIndex sing_2076.htm#SEC2152 52919 1849 1862 gorensteinVector sing_2077.htm#SEC2153 50407 1850 graal.lib sing_23 67.htm#SEC24431851 graalMixed sing_23 68.htm#SEC244464011852 graal_lib sing_23 67.htm#SEC24431863 graal.lib sing_2379.htm#SEC2455 1864 graalMixed sing_2380.htm#SEC2456 6401 1865 graal_lib sing_2379.htm#SEC2455 1853 1866 gradeNumber sing_742.htm#SEC794 29956 1854 1867 graded Weyl algebra sing_497.htm#IDX314 1855 1868 graded module, graded piece sing_1440.htm#IDX609 1856 graded modules, graded homomorphisms, syzygies gradedModules_lib sing_23 83.htm#IDX9541869 graded modules, graded homomorphisms, syzygies gradedModules_lib sing_2395.htm#IDX954 1857 1870 graded modules, handling of Handling graded modules sing_806.htm#SEC858 1858 gradedModules.lib sing_23 83.htm#SEC24591859 gradedModules_lib sing_23 83.htm#SEC24591860 gradiator sing_24 72.htm#SEC2548538021871 gradedModules.lib sing_2395.htm#SEC2471 1872 gradedModules_lib sing_2395.htm#SEC2471 1873 gradiator sing_2484.htm#SEC2560 53802 1861 1874 graph sing_1126.htm#IDX516 1862 1875 graph sing_1127.htm#IDX517 1863 graph sing_25 17.htm#IDX9861864 graph sing_25 18.htm#IDX9871876 graph sing_2529.htm#IDX986 1877 graph sing_2530.htm#IDX987 1865 1878 graphics.lib sing_1747.htm#SEC1823 1866 1879 graphics_lib sing_1747.htm#SEC1823 1867 1880 graphviz sing_1.htm#IDX13 1868 1881 graver4ti2 sing_1321.htm#SEC1397 39635 1869 grconcat sing_24 06.htm#SEC2482167541870 grdeg sing_23 86.htm#SEC2462228791871 grgens sing_2 395.htm#SEC2471128231872 grgroebner sing_24 05.htm#SEC2481292881873 grlift sing_24 03.htm#SEC2479216561874 grlifting sing_24 10.htm#SEC2486511771875 grlifting2 sing_24 11.htm#SEC2487590111876 grlifting3 sing_24 13.htm#SEC248963691877 grneg sing_24 16.htm#SEC2492645841882 grconcat sing_2418.htm#SEC2494 16754 1883 grdeg sing_2398.htm#SEC2474 22879 1884 grgens sing_2407.htm#SEC2483 12823 1885 grgroebner sing_2417.htm#SEC2493 29288 1886 grlift sing_2415.htm#SEC2491 21656 1887 grlifting sing_2422.htm#SEC2498 51177 1888 grlifting2 sing_2423.htm#SEC2499 59011 1889 grlifting3 sing_2425.htm#SEC2501 6369 1890 grneg sing_2428.htm#SEC2504 64584 1878 1891 grobcov sing_902.htm#SEC978 27432 1879 1892 grobcov.lib sing_900.htm#SEC976 1880 1893 grobcov_lib sing_900.htm#SEC976 1881 grobj sing_23 84.htm#SEC2460181151894 grobj sing_2396.htm#SEC2472 18115 1882 1895 groebner sing_250.htm#SEC290 5130 1883 1896 groebner sing_798.htm#SEC850 … … 1888 1901 groebnerFanP sing_2057.htm#SEC2133 5802 1889 1902 gromovWitten sing_1131.htm#SEC1207 28559 1890 grorder sing_2 397.htm#SEC2473208571903 grorder sing_2409.htm#SEC2485 20857 1891 1904 ground field sing_139.htm#SEC179 1892 1905 group_reynolds sing_1627.htm#SEC1703 35079 1893 grpower sing_2 393.htm#SEC246939601894 grpres sing_2 396.htm#SEC2472181451895 grprod sing_24 04.htm#SEC2480415251896 grrange sing_24 15.htm#SEC2491418351897 grres sing_24 02.htm#SEC2478357951898 grrndmap sing_24 08.htm#SEC248440541899 grrndmap2 sing_24 09.htm#SEC2485505361900 grrndmat sing_24 07.htm#SEC2483426341901 grshift sing_2 388.htm#SEC246414151902 grsum sing_2 392.htm#SEC2468606021903 grsyz sing_24 01.htm#SEC2477618431904 grtest sing_23 85.htm#SEC2461625771905 grtranspose sing_2 394.htm#SEC2470138651906 grtranspose1 sing_2 398.htm#SEC247436371907 grtwist sing_2 390.htm#SEC2466104981908 grtwists sing_2 391.htm#SEC2467566381909 grview sing_23 87.htm#SEC246368781906 grpower sing_2405.htm#SEC2481 3960 1907 grpres sing_2408.htm#SEC2484 18145 1908 grprod sing_2416.htm#SEC2492 41525 1909 grrange sing_2427.htm#SEC2503 41835 1910 grres sing_2414.htm#SEC2490 35795 1911 grrndmap sing_2420.htm#SEC2496 4054 1912 grrndmap2 sing_2421.htm#SEC2497 50536 1913 grrndmat sing_2419.htm#SEC2495 42634 1914 grshift sing_2400.htm#SEC2476 1415 1915 grsum sing_2404.htm#SEC2480 60602 1916 grsyz sing_2413.htm#SEC2489 61843 1917 grtest sing_2397.htm#SEC2473 62577 1918 grtranspose sing_2406.htm#SEC2482 13865 1919 grtranspose1 sing_2410.htm#SEC2486 3637 1920 grtwist sing_2402.htm#SEC2478 10498 1921 grtwists sing_2403.htm#SEC2479 56638 1922 grview sing_2399.htm#SEC2475 6878 1910 1923 grwalk.lib sing_1136.htm#SEC1212 1911 1924 grwalk_lib sing_1136.htm#SEC1212 1912 grzero sing_2 389.htm#SEC246542121925 grzero sing_2401.htm#SEC2477 4212 1913 1926 gwalk sing_1142.htm#SEC1218 38238 1914 1927 hStarVector sing_2078.htm#SEC2154 60821 … … 1934 1947 help, accessing over the net Command line options sing_19.htm#IDX42 1935 1948 help, online help system The online help system sing_16.htm#SEC22 1936 hermiteNormalForm sing_24 73.htm#SEC2549372251937 hess.lib sing_24 18.htm#SEC24941938 hess_lib sing_24 18.htm#SEC24941949 hermiteNormalForm sing_2485.htm#SEC2561 37225 1950 hess.lib sing_2430.htm#SEC2506 1951 hess_lib sing_2430.htm#SEC2506 1939 1952 hessenberg sing_350.htm#IDX217 24168 1940 1953 hessenberg sing_1080.htm#SEC1156 … … 1944 1957 hilbert4ti2 sing_1320.htm#SEC1396 13993 1945 1958 hilbertBasis sing_2080.htm#SEC2156 35423 1946 hilbertSeries sing_24 75.htm#SEC2551601481959 hilbertSeries sing_2487.htm#SEC2563 60148 1947 1960 hilbvec sing_1698.htm#SEC1774 9204 1948 1961 hnexpansion sing_1540.htm#SEC1616 46990 … … 1953 1966 hom_kernel sing_1158.htm#SEC1234 32604 1954 1967 homog sing_254.htm#SEC294 1955 homog_part sing_25 29.htm#SEC2605208751956 homog_parts sing_25 30.htm#SEC2606128541968 homog_part sing_2541.htm#SEC2617 20875 1969 homog_parts sing_2542.htm#SEC2618 12854 1957 1970 homogeneitySpace sing_2151.htm#SEC2227 48243 1958 1971 homogfacFirstQWeyl sing_693.htm#SEC745 32751 … … 1963 1976 homolog_lib sing_1143.htm#SEC1219 1964 1977 homology sing_1153.htm#SEC1229 15040 1965 howto, download Download instructions sing_25 53.htm#SEC26421966 howto, install on Macintosh Macintosh installation instructions sing_25 56.htm#SEC26451967 howto, install on Unix Unix installation instructions sing_25 54.htm#SEC26431968 howto, install on Windows Windows installation instructions sing_25 55.htm#SEC26441978 howto, download Download instructions sing_2565.htm#SEC2655 1979 howto, install on Macintosh Macintosh installation instructions sing_2568.htm#SEC2658 1980 howto, install on Unix Unix installation instructions sing_2566.htm#SEC2656 1981 howto, install on Windows Windows installation instructions sing_2567.htm#SEC2657 1969 1982 hres sing_255.htm#SEC295 1970 1983 html, default help The online help system sing_16.htm#IDX24 … … 1992 2005 identifyvar sing_1375.htm#SEC1451 59662 1993 2006 if sing_378.htm#SEC418 1994 imageLattice sing_24 41.htm#SEC2517157402007 imageLattice sing_2453.htm#SEC2529 15740 1995 2008 image_of_variety sing_1655.htm#SEC1731 43711 1996 2009 imap sing_256.htm#SEC296 … … 2030 2043 insertCone sing_2042.htm#SEC2118 13858 2031 2044 insertGenerator sing_583.htm#SEC635 13951 2032 instructions, Macintosh installation Macintosh installation instructions sing_25 56.htm#SEC26452033 instructions, Unix installation Unix installation instructions sing_25 54.htm#SEC26432034 instructions, Windows installation Windows installation instructions sing_25 55.htm#SEC26442035 instructions, downloading Download instructions sing_25 53.htm#SEC26422045 instructions, Macintosh installation Macintosh installation instructions sing_2568.htm#SEC2658 2046 instructions, Unix installation Unix installation instructions sing_2566.htm#SEC2656 2047 instructions, Windows installation Windows installation instructions sing_2567.htm#SEC2657 2048 instructions, downloading Download instructions sing_2565.htm#SEC2655 2036 2049 int sing_90.htm#SEC130 2037 2050 int declarations sing_91.htm#SEC131 … … 2039 2052 int operations sing_93.htm#SEC133 2040 2053 int related functions int related functions sing_94.htm#SEC134 2041 intInverse sing_24 50.htm#SEC2526sprintf2054 intInverse sing_2462.htm#SEC2538 sprintf 2042 2055 intPart sing_1874.htm#SEC1950 48360 2043 intRank sing_24 42.htm#SEC251818302056 intRank sing_2454.htm#SEC2530 1830 2044 2057 intRoot sing_1875.htm#SEC1951 54582 2045 2058 intRoots sing_580.htm#SEC632 24538 … … 2049 2062 integer division Miscellaneous oddities sing_410.htm#IDX286 2050 2063 integer programming sing_859.htm#SEC916 2051 integral sing_25 04.htm#SEC2580626832064 integral sing_2516.htm#SEC2592 62683 2052 2065 integral basis sing_1165.htm#IDX538 2053 2066 integral basis sing_1358.htm#IDX594 … … 2059 2072 integralIdeal sing_567.htm#SEC619 29194 2060 2073 integralModule sing_568.htm#SEC620 58078 2061 integralSection sing_24 51.htm#SEC2527sprintf2074 integralSection sing_2463.htm#SEC2539 sprintf 2062 2075 integralbasis.lib sing_1164.htm#SEC1240 2063 2076 integralbasis_lib sing_1164.htm#SEC1240 … … 2072 2085 intersect (plural) sing_455.htm#SEC495 2073 2086 intersectElim, option sing_307.htm#IDX173 2074 intersectLattices sing_24 47.htm#SEC2523413542087 intersectLattices sing_2459.htm#SEC2535 41354 2075 2088 intersectMon sing_1180.htm#SEC1256 44572 2076 2089 intersectSyz, option sing_307.htm#IDX174 … … 2098 2111 intvec operations sing_106.htm#SEC146 2099 2112 intvec related functions intvec related functions sing_107.htm#SEC147 2100 invariant sing_231 2.htm#IDX9222113 invariant sing_2317.htm#IDX922 2101 2114 invariant ring minimal generating set matrix group invariant_algebra_reynolds sing_1624.htm#IDX757 2102 2115 invariant ring minimal generating set permutation group invariant_algebra_perm sing_1625.htm#IDX758 … … 2109 2122 invariant_ring_random invariant_ring_random sing_1621.htm#SEC1697 6986 2110 2123 invariants curveColengthDerivations sing_1545.htm#SEC1621 57499 2111 invariants sing_23 09.htm#IDX9152112 invariants sing_231 3.htm#IDX9242124 invariants sing_2314.htm#IDX915 2125 invariants sing_2318.htm#IDX924 2113 2126 inverse sing_1064.htm#SEC1140 27411 2114 2127 inverse of a matrix via its LU-decomposition sing_282.htm#SEC322 … … 2130 2143 irreducible power series sing_1550.htm#IDX745 2131 2144 irreducible secondary invariant irred_secondary_char0 sing_1646.htm#IDX759 2132 isAface sing_23 79.htm#SEC2455477562145 isAface sing_2391.htm#SEC2467 47756 2133 2146 isAntiEndo sing_649.htm#SEC701 19156 2134 2147 isBounded sing_2082.htm#SEC2158 28183 … … 2144 2157 isCompatible sing_2043.htm#SEC2119 57323 2145 2158 isCompressed sing_2084.htm#SEC2160 2849 2146 isEqualDivisor sing_232 3.htm#SEC2399175692159 isEqualDivisor sing_2328.htm#SEC2404 17569 2147 2160 isEquising sing_1512.htm#SEC1588 1424 2148 2161 isFlat sing_1155.htm#SEC1231 14706 … … 2150 2163 isFullSpace sing_2019.htm#SEC2095 27433 2151 2164 isGorenstein sing_2085.htm#SEC2161 24010 2152 isGradedRingHomomorphism isGradedRingHomomorphism sing_24 36.htm#SEC2512395512153 isGroup sing_24 34.htm#SEC2510557442154 isGroupHomomorphism sing_24 35.htm#SEC2511654752165 isGradedRingHomomorphism isGradedRingHomomorphism sing_2448.htm#SEC2524 39551 2166 isGroup sing_2446.htm#SEC2522 55744 2167 isGroupHomomorphism sing_2447.htm#SEC2523 65475 2155 2168 isHolonomic sing_551.htm#SEC603 30274 2156 2169 isHomg sing_204.htm#IDX135 2157 isHomogeneous sing_24 62.htm#SEC253830342170 isHomogeneous sing_2474.htm#SEC2550 3034 2158 2171 isInt sing_586.htm#SEC638 9879 2159 isIntegralSurjective isIntegralSurjective sing_24 48.htm#SEC2524sprintf2172 isIntegralSurjective isIntegralSurjective sing_2460.htm#SEC2536 sprintf 2160 2173 isInvolution sing_648.htm#SEC700 13601 2161 2174 isLatticeEmpty sing_2086.htm#SEC2162 48517 2162 isLocalizationRegular isLocalizationRegular sing_23 71.htm#SEC2447112212175 isLocalizationRegular isLocalizationRegular sing_2383.htm#SEC2459 11221 2163 2176 isLocallyFree sing_1156.htm#SEC1232 46389 2164 2177 isMonomial sing_1175.htm#SEC1251 57615 … … 2167 2180 isOnCurve sing_1887.htm#SEC1963 36324 2168 2181 isOrigin sing_2020.htm#SEC2096 13977 2169 isPositive sing_24 59.htm#SEC2535508522170 isPrimitiveSublattice isPrimitiveSublattice sing_24 49.htm#SEC2525sprintf2182 isPositive sing_2471.htm#SEC2547 50852 2183 isPrimitiveSublattice isPrimitiveSublattice sing_2461.htm#SEC2537 sprintf 2171 2184 isPure sing_2044.htm#SEC2120 44002 2172 2185 isPureTensor sing_495.htm#SEC547 21323 … … 2179 2192 isSmooth sing_2089.htm#SEC2165 37647 2180 2193 isSubModule sing_1002.htm#SEC1078 sprintf 2181 isSublattice sing_24 40.htm#SEC2516105012194 isSublattice sing_2452.htm#SEC2528 10501 2182 2195 isSymmetric sing_1324.htm#SEC1400 61363 2183 2196 isTame sing_1537.htm#SEC1613 31925 2184 2197 isTerminal sing_2090.htm#SEC2166 29416 2185 isTorsionFree sing_24 58.htm#SEC2534522282198 isTorsionFree sing_2470.htm#SEC2546 52228 2186 2199 isTwoSidedGB sing_496.htm#SEC548 36558 2187 2200 isUpperTriangular sing_701.htm#SEC753 40655 … … 2189 2202 isVeryAmple sing_2091.htm#SEC2167 64652 2190 2203 isWeyl sing_723.htm#SEC775 28994 2191 isZeroElement sing_24 60.htm#SEC25365142204 isZeroElement sing_2472.htm#SEC2548 514 2192 2205 is_NND sing_1553.htm#SEC1629 26564 2193 2206 is_NP sing_1212.htm#SEC1288 43891 … … 2256 2269 keepring sing_380.htm#SEC420 2257 2270 kernel sing_267.htm#SEC307 2258 kernelLattice sing_24 43.htm#SEC2519363202271 kernelLattice sing_2455.htm#SEC2531 36320 2259 2272 kill sing_268.htm#SEC308 2260 2273 killTask sing_1016.htm#SEC1092 39317 … … 2275 2288 lattice sing_2195.htm#IDX877 2276 2289 latticeArea sing_2066.htm#SEC2142 53771 2277 latticeBasis sing_24 44.htm#SEC2520431622290 latticeBasis sing_2456.htm#SEC2532 43162 2278 2291 latticeCodegree sing_2092.htm#SEC2168 25482 2279 2292 latticeDegree sing_2093.htm#SEC2169 52881 2280 2293 latticePoints sing_2094.htm#SEC2170 41965 2281 2294 latticeVolume sing_2095.htm#SEC2171 42234 2282 laxfrT sing_23 47.htm#SEC2423608992283 laxfrX sing_23 48.htm#SEC2424572542295 laxfrT sing_2352.htm#SEC2428 60899 2296 laxfrX sing_2353.htm#SEC2429 57254 2284 2297 lazy, option sing_307.htm#IDX156 2285 2298 lcm sing_945.htm#SEC1021 44755 … … 2301 2314 lexicographical ordering sing_838.htm#IDX388 2302 2315 lib2doc sing_60.htm#SEC97 2303 libSingular sing_25 52.htm#SEC26412316 libSingular sing_2564.htm#SEC2654 2304 2317 libcdd sing_1.htm#IDX12 2305 2318 libfac sing_1.htm#IDX6 2306 2319 libparse sing_69.htm#SEC109 2307 2320 library sing_2210.htm#IDX892 2308 library sing_23 74.htm#IDX9472321 library sing_2386.htm#IDX947 2309 2322 library, info string sing_55.htm#IDX124 2310 2323 library, polybori.lib sing_2210.htm#IDX889 … … 2337 2350 linearMapKernel sing_525.htm#SEC577 43761 2338 2351 linear_relations sing_1055.htm#SEC1131 45983 2339 linearlyEquivalent sing_23 26.htm#SEC2402283512352 linearlyEquivalent sing_2331.htm#SEC2407 28351 2340 2353 linearpart sing_1699.htm#SEC1775 2162 2341 linesHypersurface sing_25 26.htm#SEC260291292354 linesHypersurface sing_2538.htm#SEC2614 9129 2342 2355 link Parallelization with ssi links sing_108.htm#SEC148 2343 2356 link sing_795.htm#SEC847 … … 2351 2364 list related functions list related functions sing_122.htm#SEC162 2352 2365 listvar sing_279.htm#SEC319 2353 lll sing_24 76.htm#SEC2552358272366 lll sing_2488.htm#SEC2564 35827 2354 2367 load sing_381.htm#SEC421 2355 2368 loadLib, option sing_307.htm#IDX178 … … 2385 2398 log2 sing_1843.htm#SEC1919 40703 2386 2399 logarithmic annihilator ideal sing_532.htm#IDX332 2387 logg sing_25 31.htm#SEC2607387362400 logg sing_2543.htm#SEC2619 38736 2388 2401 lp, global ordering sing_838.htm#IDX387 2389 2402 lp2iv sing_621.htm#SEC673 26909 … … 2417 2430 m_merkle_hellman_transformation m_merkle_hellman_transformation sing_1913.htm#SEC1989 7880 2418 2431 magnitude sing_1837.htm#SEC1913 37967 2419 makeDivisor sing_23 18.htm#SEC239434142420 makeFormalDivisor sing_23 28.htm#SEC2404545792432 makeDivisor sing_2323.htm#SEC2399 3414 2433 makeFormalDivisor sing_2333.htm#SEC2409 54579 2421 2434 makeGraph sing_1126.htm#SEC1202 21758 2422 makeGraphVE sing_25 17.htm#SEC2593sprintf2435 makeGraphVE sing_2529.htm#SEC2605 sprintf 2423 2436 makeHeisenberg sing_711.htm#SEC763 2050 2424 2437 makeLetterplaceRing sing_625.htm#SEC677 41789 2425 2438 makeMalgrange sing_592.htm#SEC644 41377 2426 2439 makeModElimRing sing_728.htm#SEC780 56092 2427 makePDivisor sing_233 4.htm#SEC2410452732440 makePDivisor sing_2339.htm#SEC2415 45273 2428 2441 makeQsl2 sing_675.htm#SEC727 3997 2429 2442 makeQsl3 sing_676.htm#SEC728 41249 2430 2443 makeQso3 sing_674.htm#SEC726 58910 2431 makeSheaf sing_25 05.htm#SEC2581104972444 makeSheaf sing_2517.htm#SEC2593 10497 2432 2445 makeUe6 sing_671.htm#SEC723 58585 2433 2446 makeUe7 sing_672.htm#SEC724 61849 … … 2451 2464 makeUsp4 sing_667.htm#SEC719 51690 2452 2465 makeUsp5 sing_668.htm#SEC720 35951 2453 makeVariety sing_2 497.htm#SEC2573239152466 makeVariety sing_2509.htm#SEC2585 23915 2454 2467 makeWeyl sing_710.htm#SEC762 8554 2455 2468 map sing_123.htm#SEC163 … … 2466 2479 mapToRatNormCurve sing_1363.htm#SEC1439 8877 2467 2480 mapall sing_988.htm#SEC1064 14907 2468 mappingcone sing_24 12.htm#SEC2488482192469 mappingcone3 sing_24 14.htm#SEC2490589732481 mappingcone sing_2424.htm#SEC2500 48219 2482 mappingcone3 sing_2426.htm#SEC2502 58973 2470 2483 markov4ti2 sing_1319.htm#SEC1395 9163 2471 2484 mat2arr sing_2160.htm#SEC2236 20840 … … 2491 2504 matrixT1 sing_1605.htm#SEC1681 15051 2492 2505 matrix_lib sing_1030.htm#SEC1106 2493 matrixpres sing_24 17.htm#SEC2493606452494 matrixsystem sing_23 58.htm#SEC2434629502506 matrixpres sing_2429.htm#SEC2505 60645 2507 matrixsystem sing_2363.htm#SEC2439 62950 2495 2508 max sing_284.htm#SEC324 23624 2496 2509 maxEord sing_1378.htm#SEC1454 64032 … … 2515 2528 merkle_hellman_decryption merkle_hellman_decryption sing_1917.htm#SEC1993 49106 2516 2529 merkle_hellman_encryption merkle_hellman_encryption sing_1916.htm#SEC1992 13645 2517 midpoint sing_235 4.htm#SEC2430293912530 midpoint sing_2359.htm#SEC2435 29391 2518 2531 milnor sing_1592.htm#SEC1668 23173 2519 2532 milnorcode sing_1476.htm#SEC1552 13849 2520 milnornumber sing_2 494.htm#SEC2570218552533 milnornumber sing_2506.htm#SEC2582 21855 2521 2534 min sing_287.htm#SEC327 56342 2522 2535 minAssChar sing_1278.htm#SEC1354 18758 … … 2563 2576 modNpos_test sing_1216.htm#SEC1292 34326 2564 2577 modStd sing_1173.htm#SEC1249 4500 2565 modVStd sing_23 05.htm#SEC2381385292566 modVStd0 sing_23 06.htm#SEC2382460802567 modWalk sing_24 21.htm#SEC2497sprintf2578 modVStd sing_2310.htm#SEC2386 38529 2579 modVStd0 sing_2311.htm#SEC2387 46080 2580 modWalk sing_2433.htm#SEC2509 sprintf 2568 2581 mod_versal sing_1505.htm#SEC1581 63927 2569 2582 modality sing_1484.htm#SEC1560 49951 2570 modfWalk sing_24 23.htm#SEC2499sprintf2571 modfrWalk sing_24 24.htm#SEC2500sprintf2583 modfWalk sing_2435.htm#SEC2511 sprintf 2584 modfrWalk sing_2436.htm#SEC2512 sprintf 2572 2585 modnormal.lib sing_1170.htm#SEC1246 2573 2586 modnormal_lib sing_1170.htm#SEC1246 2574 modrWalk sing_24 22.htm#SEC2498sprintf2587 modrWalk sing_2434.htm#SEC2510 sprintf 2575 2588 modregCM sing_1222.htm#SEC1298 5049 2576 2589 modsatiety sing_1220.htm#SEC1296 44506 … … 2598 2611 module related functions (plural) module related functions (plural) sing_429.htm#SEC469 2599 2612 module_containment sing_1095.htm#SEC1171 31620 2600 moduliSpace sing_25 19.htm#SEC2595370132613 moduliSpace sing_2531.htm#SEC2607 37013 2601 2614 modulo sing_291.htm#SEC331 2602 2615 modulo (plural) sing_460.htm#SEC500 2603 2616 moduloSlim sing_718.htm#SEC770 52636 2604 modwalk.lib sing_24 20.htm#IDX9552605 modwalk_lib sing_24 20.htm#IDX9562617 modwalk.lib sing_2432.htm#IDX955 2618 modwalk_lib sing_2432.htm#IDX956 2606 2619 moebius sing_2196.htm#SEC2272 61319 2607 2620 moebius function sing_2196.htm#IDX878 … … 2650 2663 multarrRestrict sing_2192.htm#SEC2268 sprintf 2651 2664 multcol sing_1049.htm#SEC1125 21899 2652 multdivisor sing_232 0.htm#SEC2396651392653 multformaldivisor sing_233 2.htm#SEC2408322382665 multdivisor sing_2325.htm#SEC2401 65139 2666 multformaldivisor sing_2337.htm#SEC2413 32238 2654 2667 multi sing_1931.htm#SEC2007 18473 2655 2668 multi indices sing_37.htm#SEC65 2656 multiDeg sing_24 55.htm#SEC253170492657 multiDegBasis sing_24 56.htm#SEC253233202658 multiDegGroebner sing_24 64.htm#SEC254010402659 multiDegModulo sing_24 66.htm#SEC2542272442660 multiDegPartition sing_24 57.htm#SEC253395772661 multiDegResolution sing_24 67.htm#SEC2543385352662 multiDegSyzygy sing_24 65.htm#SEC2541540752663 multiDegTensor sing_24 68.htm#SEC2544451082664 multiDegTor sing_24 69.htm#SEC2545sprintf2669 multiDeg sing_2467.htm#SEC2543 7049 2670 multiDegBasis sing_2468.htm#SEC2544 3320 2671 multiDegGroebner sing_2476.htm#SEC2552 1040 2672 multiDegModulo sing_2478.htm#SEC2554 27244 2673 multiDegPartition sing_2469.htm#SEC2545 9577 2674 multiDegResolution sing_2479.htm#SEC2555 38535 2675 multiDegSyzygy sing_2477.htm#SEC2553 54075 2676 multiDegTensor sing_2480.htm#SEC2556 45108 2677 multiDegTor sing_2481.htm#SEC2557 sprintf 2665 2678 multiarrangement sing_2187.htm#IDX858 2666 2679 multiarrangement sing_2188.htm#IDX860 … … 2671 2684 multiarrangement sing_2193.htm#IDX872 2672 2685 multidimensional_knapsack multidimensional_knapsack sing_1909.htm#SEC1985 15647 2673 multigrading, multidegree, multiweights, multigraded-homogeneous, integral linear algebra multigrading_lib sing_24 25.htm#IDX9612674 multigrading.lib sing_24 25.htm#IDX9592675 multigrading_lib sing_24 25.htm#IDX9602676 multipleCover sing_25 25.htm#SEC2601559882686 multigrading, multidegree, multiweights, multigraded-homogeneous, integral linear algebra multigrading_lib sing_2437.htm#IDX961 2687 multigrading.lib sing_2437.htm#IDX959 2688 multigrading_lib sing_2437.htm#IDX960 2689 multipleCover sing_2537.htm#SEC2613 55988 2677 2690 multiplicities, sequence of sing_1545.htm#IDX742 2678 multiplicity sing_231 1.htm#IDX9202691 multiplicity sing_2316.htm#IDX920 2679 2692 multiplicity sequence sing_1458.htm#IDX621 2680 2693 multiplicity sequence sing_1461.htm#IDX633 … … 2697 2710 nblocks sing_350.htm#IDX221 2698 2711 ncExt_R sing_751.htm#SEC803 14357 2699 ncHilb.lib sing_24 77.htm#SEC25532700 ncHilb_lib sing_24 77.htm#SEC25532712 ncHilb.lib sing_2489.htm#SEC2565 2713 ncHilb_lib sing_2489.htm#SEC2565 2701 2714 ncHom sing_752.htm#SEC804 45033 2702 2715 ncRelations sing_719.htm#SEC771 7225 … … 2712 2725 ncfactor.lib sing_684.htm#SEC736 2713 2726 ncfactor_lib sing_684.htm#SEC736 2714 nchilb sing_24 78.htm#SEC2554369222727 nchilb sing_2490.htm#SEC2566 36922 2715 2728 nchomolog.lib sing_750.htm#IDX371 2716 2729 nchomolog_lib sing_750.htm#IDX372 … … 2726 2739 negative degree reverse lexicographical ordering Local orderings sing_839.htm#IDX401 2727 2740 negative lexicographical ordering sing_839.htm#IDX399 2728 negativedivisor sing_232 1.htm#SEC239782742729 negativeformaldivisor negativeformaldivisor sing_233 1.htm#SEC2407550262741 negativedivisor sing_2326.htm#SEC2402 8274 2742 negativeformaldivisor negativeformaldivisor sing_2336.htm#SEC2412 55026 2730 2743 net access Command line options sing_19.htm#IDX40 2731 2744 newTest sing_1851.htm#SEC1927 36655 2732 2745 newline sing_166.htm#SEC206 2733 news sing_25 45.htm#SEC26212746 news sing_2557.htm#SEC2633 2734 2747 newstruct sing_177.htm#SEC217 2735 2748 newstruct sing_2210.htm#IDX894 2736 2749 newtonDiag sing_958.htm#SEC1034 56652 2737 newtonPolygonNegSlopes newtonPolygonNegSlopes sing_25 38.htm#SEC2614220522750 newtonPolygonNegSlopes newtonPolygonNegSlopes sing_2550.htm#SEC2626 22052 2738 2751 newtonPolytope sing_2050.htm#SEC2126 56291 2739 2752 newtonPolytopeLP sing_2055.htm#SEC2131 36186 … … 2741 2754 newtonpoly sing_1552.htm#SEC1628 31930 2742 2755 nf_icis sing_1593.htm#SEC1669 49093 2743 nfmodStd sing_24 81.htm#SEC2557460772744 nfmodSyz sing_24 83.htm#SEC2559559422745 nfmodstd.lib sing_24 79.htm#SEC25552746 nfmodstd_lib sing_24 79.htm#SEC25552747 nfmodsyz.lib sing_24 82.htm#SEC25582748 nfmodsyz_lib sing_24 82.htm#SEC25582756 nfmodStd sing_2493.htm#SEC2569 46077 2757 nfmodSyz sing_2495.htm#SEC2571 55942 2758 nfmodstd.lib sing_2491.htm#SEC2567 2759 nfmodstd_lib sing_2491.htm#SEC2567 2760 nfmodsyz.lib sing_2494.htm#SEC2570 2761 nfmodsyz_lib sing_2494.htm#SEC2570 2749 2762 nilpotent Lie algebras sing_1351.htm#IDX573 2750 2763 nmaxcones sing_2045.htm#SEC2121 660 … … 2760 2773 norm sing_1930.htm#SEC2006 31143 2761 2774 normal sing_1224.htm#SEC1300 61073 2762 normal bundle, graph, rational curves, mutiple covers, lines on normalBundle sing_25 24.htm#IDX9932775 normal bundle, graph, rational curves, mutiple covers, lines on normalBundle sing_2536.htm#IDX993 2763 2776 normal.lib sing_1223.htm#SEC1299 2764 normalBundle sing_25 24.htm#SEC2600sprintf2777 normalBundle sing_2536.htm#SEC2612 sprintf 2765 2778 normalC sing_1226.htm#SEC1302 34842 2766 2779 normalConductor sing_1238.htm#SEC1314 26085 2767 2780 normalFan sing_2105.htm#SEC2181 39216 2768 2781 normalFanL sing_2056.htm#SEC2132 55096 2769 normalForm sing_232 2.htm#SEC2398349622782 normalForm sing_2327.htm#SEC2403 34962 2770 2783 normalI sing_1311.htm#SEC1387 7516 2771 2784 normalP sing_1225.htm#SEC1301 36584 … … 2774 2787 normal_lib sing_1223.htm#SEC1299 2775 2788 normalform sing_1481.htm#SEC1557 5550 2776 normalform sing_230 0.htm#IDX9132789 normalform sing_2305.htm#IDX913 2777 2790 normaliz sing_1.htm#IDX14 18426 2778 2791 normaliz sing_1254.htm#SEC1330 … … 2788 2801 normalization sing_1238.htm#IDX562 2789 2802 normalization sing_1239.htm#IDX564 2790 normalization sing_231 0.htm#IDX9182803 normalization sing_2315.htm#IDX918 2791 2804 normalization. sing_1165.htm#IDX539 2792 2805 normalization. sing_1358.htm#IDX595 … … 2844 2857 orbit sing_1355.htm#IDX584 2845 2858 orbit sing_1356.htm#IDX587 2846 orbitCones sing_23 80.htm#SEC245655222859 orbitCones sing_2392.htm#SEC2468 5522 2847 2860 orbit_variety sing_1652.htm#SEC1728 22665 2848 2861 orbitparam.lib sing_1351.htm#SEC1427 … … 2912 2925 pdivi sing_904.htm#SEC980 39081 2913 2926 pdivi sing_905.htm#IDX433 2914 pdivisorplus sing_23 36.htm#SEC2412474862927 pdivisorplus sing_2341.htm#SEC2417 47486 2915 2928 permcol sing_1051.htm#SEC1127 12886 2916 2929 permrow sing_1052.htm#SEC1128 26561 … … 2926 2939 pid sing_350.htm#IDX240 2927 2940 plainInvariants sing_1502.htm#SEC1578 40916 2928 planeCur sing_2 298.htm#SEC2374sprintf2941 planeCur sing_2303.htm#SEC2379 sprintf 2929 2942 plot sing_1766.htm#SEC1842 46610 2930 2943 plotRot sing_1770.htm#SEC1846 57150 … … 2954 2967 poly2list sing_581.htm#SEC633 4960 2955 2968 poly2zdd sing_2226.htm#SEC2302 61839 2956 polyInterpolation sing_23 39.htm#SEC2415458662969 polyInterpolation sing_2344.htm#SEC2420 45866 2957 2970 polyVars sing_773.htm#SEC825 43882 2958 2971 poly_lib sing_939.htm#SEC1015 … … 2987 3000 preimage (plural) sing_467.htm#SEC507 2988 3001 preimage under a map between local rings, map between local rings, map between local and global rings preimageLoc sing_992.htm#IDX485 2989 preimageLattice sing_24 45.htm#SEC2521373483002 preimageLattice sing_2457.htm#SEC2533 37348 2990 3003 preimageLoc sing_992.htm#SEC1068 33315 2991 3004 preimageNC sing_699.htm#SEC751 16037 … … 3034 3047 primitive sing_1302.htm#SEC1378 36163 3035 3048 primitive element sing_1302.htm#IDX566 3036 primitiveSpan sing_24 52.htm#SEC2528sprintf3049 primitiveSpan sing_2464.htm#SEC2540 sprintf 3037 3050 primitive_extra sing_1303.htm#SEC1379 49025 3038 3051 primparam sing_1497.htm#SEC1573 35357 … … 3041 3054 print sing_2162.htm#IDX811 3042 3055 printGraph sing_1127.htm#SEC1203 45041 3043 printGraphG sing_25 18.htm#SEC2594487423044 printGroup sing_24 33.htm#SEC250967913056 printGraphG sing_2530.htm#SEC2606 48742 3057 printGroup sing_2445.htm#SEC2521 6791 3045 3058 printMoebius sing_2201.htm#SEC2277 45828 3046 printSheaf sing_25 06.htm#SEC2582317623047 printStack sing_25 20.htm#SEC259636923059 printSheaf sing_2518.htm#SEC2594 31762 3060 printStack sing_2532.htm#SEC2608 3692 3048 3061 printTask sing_1019.htm#SEC1095 54549 3049 printVariety sing_2 498.htm#SEC257428463062 printVariety sing_2510.htm#SEC2586 2846 3050 3063 printf sing_317.htm#SEC357 2294 3051 3064 printlevel sing_392.htm#SEC432 … … 3061 3074 prodcrit sing_1948.htm#SEC2024 56231 3062 3075 product sing_892.htm#SEC968 54431 3063 product variety, abstract variety sing_2 499.htm#IDX9813064 productVariety sing_2 499.htm#SEC2575541913065 productgroup sing_24 54.htm#SEC2530559373076 product variety, abstract variety sing_2511.htm#IDX981 3077 productVariety sing_2511.htm#SEC2587 54191 3078 productgroup sing_2466.htm#SEC2542 55937 3066 3079 progress watch sing_307.htm#IDX163 3067 projectLattice sing_24 46.htm#SEC2522284633068 projective bundle, abstract variety, sheaf, enumeration of conics projectiveBundle sing_25 03.htm#IDX9853080 projectLattice sing_2458.htm#SEC2534 28463 3081 projective bundle, abstract variety, sheaf, enumeration of conics projectiveBundle sing_2515.htm#IDX985 3069 3082 projective dimension purityfiltration_lib sing_738.htm#IDX368 3070 3083 projective limes sing_32.htm#SEC46 3071 projective space, abstract variety sing_25 02.htm#IDX9843072 projectiveBundle sing_25 03.htm#SEC2579137913084 projective space, abstract variety sing_2514.htm#IDX984 3085 projectiveBundle sing_2515.htm#SEC2591 13791 3073 3086 projectiveDimension sing_739.htm#SEC791 8165 3074 projectiveSpace sing_25 02.htm#SEC2578217293087 projectiveSpace sing_2514.htm#SEC2590 21729 3075 3088 prompt sing_15.htm#SEC21 3076 3089 prompt, option sing_307.htm#IDX182 … … 3081 3094 proximitymatrix sing_1456.htm#SEC1532 58403 3082 3095 prune sing_318.htm#SEC358 3083 prwalk sing_24 85.htm#SEC2561469633096 prwalk sing_2497.htm#SEC2573 46963 3084 3097 psigncnd sing_1744.htm#SEC1820 57734 3085 3098 puiseux2generators sing_1555.htm#SEC1631 64508 … … 3092 3105 purityfiltration.lib purityfiltration_lib sing_738.htm#IDX363 3093 3106 purityfiltration_lib purityfiltration_lib sing_738.htm#IDX364 3094 pushForward sing_24 71.htm#SEC2547266973107 pushForward sing_2483.htm#SEC2559 26697 3095 3108 pwalk sing_1141.htm#SEC1217 61187 3096 3109 pyobject sing_186.htm#SEC226 … … 3100 3113 pyobject operations sing_189.htm#SEC229 3101 3114 pyobject related functions pyobject related functions sing_190.htm#SEC230 3102 pyramid sing_23 55.htm#SEC243174213115 pyramid sing_2360.htm#SEC2436 7421 3103 3116 python_eval sing_191.htm#SEC231 3104 3117 python_import sing_192.htm#SEC232 3105 3118 python_run sing_193.htm#SEC233 3106 3119 qbase sing_1974.htm#SEC2050 8633 3107 qepcad sing_23 65.htm#SEC2441391713108 qepcadsystem sing_23 66.htm#SEC2442319773120 qepcad sing_2370.htm#SEC2446 39171 3121 qepcadsystem sing_2371.htm#SEC2447 31977 3109 3122 qhmatrix sing_1608.htm#SEC1684 61813 3110 3123 qhmoduli.lib sing_1572.htm#SEC1648 … … 3129 3142 quickclass sing_1478.htm#SEC1554 14018 3130 3143 quit sing_382.htm#SEC422 3131 quotSheaf sing_25 15.htm#SEC2591496193144 quotSheaf sing_2527.htm#SEC2603 49619 3132 3145 quote sing_321.htm#SEC361 3133 3146 quotient sing_322.htm#SEC362 … … 3136 3149 quotientMain sing_1736.htm#SEC1812 39870 3137 3150 quotientMon sing_1181.htm#SEC1257 57149 3138 quotients sing_23 74.htm#IDX9513151 quotients sing_2386.htm#IDX951 3139 3152 rHRR sing_2281.htm#SEC2357 20131 3140 3153 rMacaulay sing_925.htm#SEC1001 45499 … … 3163 3176 rank sing_204.htm#IDX137 3164 3177 rank sing_324.htm#SEC364 3165 rankSheaf sing_25 07.htm#SEC2583118503178 rankSheaf sing_2519.htm#SEC2595 11850 3166 3179 ratSol sing_768.htm#SEC820 62488 3167 3180 ratgb.lib sing_758.htm#IDX373 … … 3173 3186 rational solutions sing_760.htm#IDX385 3174 3187 rational univariate projection sing_1968.htm#IDX784 3175 rationalCurve sing_25 27.htm#SEC2603612013188 rationalCurve sing_2539.htm#SEC2615 61201 3176 3189 rationalPointConic sing_1362.htm#SEC1438 9761 3177 3190 ratstd sing_759.htm#SEC811 61346 … … 3186 3199 real roots, univariate projection sing_1959.htm#IDX782 3187 3200 real roots,sign conditions sing_1742.htm#IDX762 3188 realclassify sing_2 492.htm#SEC2568602793189 realclassify.lib sing_2 491.htm#SEC25673190 realclassify_lib sing_2 491.htm#SEC25673201 realclassify sing_2504.htm#SEC2580 60279 3202 realclassify.lib sing_2503.htm#SEC2579 3203 realclassify_lib sing_2503.htm#SEC2579 3191 3204 realizationDim sing_2110.htm#SEC2186 37756 3192 3205 realizationDimPoly sing_2112.htm#SEC2188 3611 3193 3206 realizationMatroids.lib realizationMatroids_lib sing_2109.htm#SEC2185 3194 3207 realizationMatroids_lib realizationMatroids_lib sing_2109.htm#SEC2185 3195 realmorsesplit sing_2 493.htm#SEC2569163183208 realmorsesplit sing_2505.htm#SEC2581 16318 3196 3209 realpoly sing_1306.htm#SEC1382 9453 3197 3210 realrad sing_1308.htm#SEC1384 43381 … … 3261 3274 resolution, computation of sing_329.htm#IDX186 3262 3275 resolution, hilbert-driven sing_255.htm#SEC295 3263 resolutionInLocalization resolutionInLocalization sing_23 73.htm#SEC2449311063276 resolutionInLocalization resolutionInLocalization sing_2385.htm#SEC2461 31106 3264 3277 resolutiongraph sing_1452.htm#SEC1528 32697 3265 3278 resolve sing_1413.htm#SEC1489 27374 … … 3339 3352 rowred sing_1053.htm#SEC1129 63416 3340 3353 rp, global ordering sing_838.htm#IDX389 3341 rswalk sing_2 490.htm#SEC2566509033354 rswalk sing_2502.htm#SEC2578 50903 3342 3355 rtimer sing_396.htm#SEC436 3343 3356 rvalue No rvalue of increments and assignments sing_402.htm#SEC442 3344 3357 rvar sing_334.htm#SEC374 3345 rwalk sing_24 86.htm#SEC2562425253346 rwalk.lib sing_24 84.htm#SEC25603347 rwalk_lib sing_24 84.htm#SEC25603358 rwalk sing_2498.htm#SEC2574 42525 3359 rwalk.lib sing_2496.htm#SEC2572 3360 rwalk_lib sing_2496.htm#SEC2572 3348 3361 s_res sing_1007.htm#SEC1083 47429 3349 3362 sa_poly_reduce sing_520.htm#SEC572 60856 … … 3351 3364 sagbi sing_1315.htm#SEC1391 46653 3352 3365 sagbi.lib sing_1312.htm#SEC1388 3353 sagbiAlg sing_229 4.htm#SEC2370sprintf3354 sagbiMod sing_2 295.htm#SEC2371sprintf3366 sagbiAlg sing_2299.htm#SEC2375 sprintf 3367 sagbiMod sing_2300.htm#SEC2376 sprintf 3355 3368 sagbiPart sing_1316.htm#SEC1392 56066 3356 3369 sagbiReduce sing_1314.htm#SEC1390 19036 … … 3365 3378 sba sing_335.htm#SEC375 3366 3379 scalarProd sing_509.htm#SEC561 54488 3367 scheme sing_23 46.htm#SEC2422157223380 scheme sing_2351.htm#SEC2427 15722 3368 3381 schreyer.lib sing_1006.htm#SEC1082 3369 3382 schreyer_lib sing_1006.htm#SEC1082 3370 schubert.lib sing_2 496.htm#SEC25723371 schubert_lib sing_2 496.htm#SEC25723383 schubert.lib sing_2508.htm#SEC2584 3384 schubert_lib sing_2508.htm#SEC2584 3372 3385 sdb, source code debugger Source code debugger sing_66.htm#SEC103 3373 3386 second degree sing_919.htm#IDX471 … … 3388 3401 semaphores sing_973.htm#IDX484 3389 3402 semiCMcod2 sing_1606.htm#SEC1682 15905 3390 semiGroup sing_2 296.htm#SEC2372sprintf3391 semiMod sing_2 297.htm#SEC2373sprintf3403 semiGroup sing_2301.htm#SEC2377 sprintf 3404 semiMod sing_2302.htm#SEC2378 sprintf 3392 3405 semidiv sing_1934.htm#SEC2010 58107 3393 3406 semigroup sing_1455.htm#SEC1531 29045 … … 3400 3413 serreRelations sing_638.htm#SEC690 33994 3401 3414 set sing_2158.htm#IDX801 3402 setBaseMultigrading sing_24 26.htm#SEC250265753415 setBaseMultigrading sing_2438.htm#SEC2514 6575 3403 3416 setLetterplaceAttributes setLetterplaceAttributes sing_629.htm#SEC681 5759 3404 3417 setLinearForms sing_2032.htm#SEC2108 62731 3405 setModuleGrading sing_24 38.htm#SEC2514590183418 setModuleGrading sing_2450.htm#SEC2526 59018 3406 3419 setMultiplicity sing_2033.htm#SEC2109 27537 3407 3420 setNmzDataPath sing_1259.htm#SEC1335 18123 … … 3409 3422 setNmzFilename sing_1258.htm#SEC1334 20206 3410 3423 setNmzOption sing_1252.htm#SEC1328 9012 3411 setUniformizingParameter setUniformizingParameter sing_25 36.htm#SEC2612636353424 setUniformizingParameter setUniformizingParameter sing_2548.htm#SEC2624 63635 3412 3425 set_is_injective sing_1922.htm#SEC1998 8429 3413 3426 setcores sing_975.htm#SEC1051 49704 3414 3427 setenv sing_350.htm#IDX250 3415 3428 setglobalrings sing_901.htm#SEC977 33379 3416 setinitials sing_23 56.htm#SEC2432247923429 setinitials sing_2361.htm#SEC2437 24792 3417 3430 setring sing_336.htm#SEC376 3418 3431 sh sing_350.htm#IDX252 … … 3438 3451 showrecursive sing_927.htm#SEC1003 6127 3439 3452 sickle sing_616.htm#SEC668 17166 3440 signal handler sing_25 52.htm#SEC26413453 signal handler sing_2564.htm#SEC2654 3441 3454 signatureBrieskorn sing_1615.htm#SEC1691 26283 3442 3455 signatureL sing_2206.htm#SEC2282 65493 … … 3482 3495 slocus sing_1594.htm#SEC1670 27853 3483 3496 smith sing_1827.htm#SEC1903 61915 3484 smithNormalForm sing_24 74.htm#SEC255071743497 smithNormalForm sing_2486.htm#SEC2562 7174 3485 3498 solutionsMod2 sing_1877.htm#SEC1953 53360 3486 3499 solve sing_919.htm#IDX472 3078 … … 3499 3512 sortvec sing_341.htm#SEC381 3500 3513 source code debugger, sdb Source code debugger sing_66.htm#SEC103 3501 spaceCur sing_2 299.htm#SEC2375sprintf3514 spaceCur sing_2304.htm#SEC2380 sprintf 3502 3515 spadd sing_1528.htm#SEC1604 48739 3503 3516 span sing_2034.htm#SEC2110 64343 3504 3517 sparseHomogIdeal sing_969.htm#SEC1045 22631 3505 sparseInterpolation sing_234 1.htm#SEC2417287713518 sparseInterpolation sing_2346.htm#SEC2422 28771 3506 3519 sparseid sing_964.htm#SEC1040 20824 3507 3520 sparsemat sing_966.htm#SEC1042 17653 … … 3558 3571 sres sing_344.htm#SEC384 3559 3572 ssi Parallelization with ssi links sing_795.htm#SEC847 3560 stack, moduli space of stable maps sing_25 20.htm#IDX9893561 stack, moduli space of stable maps, rational curves moduliSpace sing_25 19.htm#IDX9883573 stack, moduli space of stable maps sing_2532.htm#IDX989 3574 stack, moduli space of stable maps, rational curves moduliSpace sing_2531.htm#IDX988 3562 3575 staircase sing_1748.htm#SEC1824 49781 3563 3576 standard sing_1952.htm#SEC2028 14067 … … 3604 3617 sum_of_powers sing_2240.htm#SEC2316 12170 3605 3618 sumlist sing_1396.htm#SEC1472 59918 3606 sumofquotients sing_25 28.htm#SEC260445693619 sumofquotients sing_2540.htm#SEC2616 4569 3607 3620 super-commutative algebras Graded commutative algebras (SCA) sing_482.htm#SEC534 3608 3621 superCommutative sing_714.htm#SEC766 45528 … … 3618 3631 surfex_lib sing_1768.htm#SEC1844 3619 3632 suspend sing_345.htm#SEC385 3620 swalk sing_2 489.htm#SEC2565167943621 swalk.lib sing_2 488.htm#SEC25643622 swalk_lib sing_2 488.htm#SEC25643633 swalk sing_2501.htm#SEC2577 16794 3634 swalk.lib sing_2500.htm#SEC2576 3635 swalk_lib sing_2500.htm#SEC2576 3623 3636 swap sing_1483.htm#SEC1559 15408 3624 3637 swap sing_2165.htm#IDX819 3625 3638 switch No case or switch statement sing_404.htm#SEC444 3626 switchRingsAndComputeInitialIdeal switchRingsAndComputeInitialIdeal sing_25 41.htm#SEC261718273639 switchRingsAndComputeInitialIdeal switchRingsAndComputeInitialIdeal sing_2553.htm#SEC2629 1827 3627 3640 syModStd sing_1328.htm#SEC1404 50246 3628 3641 symNsym sing_2234.htm#SEC2310 55230 … … 3635 3648 symmetricBasis sing_1059.htm#SEC1135 sprintf 3636 3649 symmetricPower sing_1061.htm#SEC1137 6542 3637 symmetricPowerSheaf sing_25 14.htm#SEC2590569223650 symmetricPowerSheaf sing_2526.htm#SEC2602 56922 3638 3651 symmfunc sing_1972.htm#SEC2048 45575 3639 3652 symodstd.lib sing_1322.htm#SEC1398 … … 3708 3721 system, version sing_350.htm#IDX271 3709 3722 system, with sing_350.htm#IDX272 3710 systemOfParametersOfLocalization systemOfParametersOfLocalization sing_23 70.htm#SEC2446630943723 systemOfParametersOfLocalization systemOfParametersOfLocalization sing_2382.htm#SEC2458 63094 3711 3724 syz sing_351.htm#SEC391 3712 3725 syz (plural) sing_474.htm#SEC514 … … 3742 3755 tensor sing_1043.htm#SEC1119 3743 3756 tensorMod sing_1162.htm#SEC1238 21961 3744 tensorSheaf sing_25 13.htm#SEC2589240723757 tensorSheaf sing_2525.htm#SEC2601 24072 3745 3758 term orderings General definitions for orderings sing_837.htm#SEC889 3746 3759 term orderings introduction Introduction to orderings sing_836.htm#SEC888 … … 3773 3786 timer sing_394.htm#SEC434 3774 3787 timer resolution, setting the sing_350.htm#IDX281 3775 timestep sing_23 59.htm#SEC2435382253788 timestep sing_2364.htm#SEC2440 38225 3776 3789 tjurina sing_1597.htm#SEC1673 9100 3777 3790 tmatrix sing_1524.htm#SEC1600 57332 … … 3780 3793 toddPoly sing_2280.htm#SEC2356 65066 3781 3794 tolessvars sing_1700.htm#SEC1776 56590 3782 topChernClass sing_25 10.htm#SEC2586173743795 topChernClass sing_2522.htm#SEC2598 17374 3783 3796 topological invariants sing_1451.htm#IDX615 3784 3797 topological invariants sing_1458.htm#IDX622 … … 3795 3808 total divisors sing_490.htm#IDX306 3796 3809 total multiplicities sing_1451.htm#IDX618 3797 totalChernClass sing_25 08.htm#SEC258461533798 totalSegreClass sing_25 11.htm#SEC258732913810 totalChernClass sing_2520.htm#SEC2596 6153 3811 totalSegreClass sing_2523.htm#SEC2599 3291 3799 3812 totalmultiplicities sing_1453.htm#SEC1529 58264 3800 3813 trace sing_352.htm#SEC392 3801 3814 tracemult sing_1966.htm#SEC2042 58303 3802 3815 transpose sing_353.htm#SEC393 3803 trapezoid sing_235 3.htm#SEC2429615253816 trapezoid sing_2358.htm#SEC2434 61525 3804 3817 triMNewton sing_1726.htm#SEC1802 62822 3805 3818 triagmatrix sing_970.htm#SEC1046 17944 … … 3817 3830 tropical curves sing_2113.htm#IDX796 3818 3831 tropical geometry sing_1125.htm#IDX508 3819 tropical geometry sing_25 35.htm#IDX9983832 tropical geometry sing_2547.htm#IDX998 3820 3833 tropical mirror symmetry sing_1125.htm#IDX510 3821 3834 tropical polynomials sing_2113.htm#IDX797 3822 tropical varieties sing_25 35.htm#IDX9993835 tropical varieties sing_2547.htm#IDX999 3823 3836 tropical.lib sing_2113.htm#IDX794 3824 3837 tropicalCurve sing_2118.htm#SEC2194 16865 3825 3838 tropicalJInvariant sing_2121.htm#SEC2197 40395 3826 3839 tropicalLifting sing_2114.htm#SEC2190 7052 3827 tropicalLinkNewton sing_25 43.htm#SEC2619638863828 tropicalNewton.lib sing_25 35.htm#SEC26113829 tropicalNewton_lib sing_25 35.htm#SEC26113830 tropicalPointNewton sing_25 40.htm#SEC2616185723840 tropicalLinkNewton sing_2555.htm#SEC2631 63886 3841 tropicalNewton.lib sing_2547.htm#SEC2623 3842 tropicalNewton_lib sing_2547.htm#SEC2623 3843 tropicalPointNewton sing_2552.htm#SEC2628 18572 3831 3844 tropicalSubst sing_2146.htm#SEC2222 49846 3832 3845 tropicalVariety sing_2153.htm#SEC2229 39087 3833 tropicalVarietyNewton tropicalVarietyNewton sing_25 42.htm#SEC2618285323846 tropicalVarietyNewton tropicalVarietyNewton sing_2554.htm#SEC2630 28532 3834 3847 tropical_lib sing_2113.htm#IDX795 3835 3848 tropicalise sing_2125.htm#SEC2201 49739 … … 3854 3867 typecasting sing_2161.htm#IDX807 3855 3868 typeof sing_355.htm#SEC395 3856 u sing_23 45.htm#SEC2421121543869 u sing_2350.htm#SEC2426 12154 3857 3870 uname sing_350.htm#IDX267 3858 3871 unbounded_knapsack sing_1908.htm#SEC1984 17226 … … 3871 3884 usage, option sing_307.htm#IDX185 3872 3885 user interface, Emacs Emacs user interface sing_21.htm#SEC28 3873 vStd sing_230 4.htm#SEC2380123213874 val sing_25 37.htm#SEC2613621713886 vStd sing_2309.htm#SEC2385 12321 3887 val sing_2549.htm#SEC2625 62171 3875 3888 valvars sing_1704.htm#SEC1780 15723 3876 3889 vandermonde sing_358.htm#SEC398 … … 3907 3920 view sing_1825.htm#SEC1901 29284 3908 3921 visual sing_2108.htm#SEC2184 51434 3909 visualize sing_234 4.htm#SEC242067503922 visualize sing_2349.htm#SEC2425 6750 3910 3923 voice sing_397.htm#SEC437 3911 3924 vwfilt sing_1523.htm#SEC1599 8281 … … 3916 3929 waitfirst sing_364.htm#SEC404 3917 3930 walk, groebner sing_1136.htm#IDX530 3918 walk, groebner sing_24 20.htm#IDX9573919 walk, groebner sing_24 84.htm#IDX9623920 walk, groebner sing_2 488.htm#IDX9673921 warkedPreimageStd sing_23 72.htm#SEC2448147593931 walk, groebner sing_2432.htm#IDX957 3932 walk, groebner sing_2496.htm#IDX962 3933 walk, groebner sing_2500.htm#IDX967 3934 warkedPreimageStd sing_2384.htm#SEC2460 14759 3922 3935 warn, option sing_70.htm#SEC110 3923 3936 warn, option sing_307.htm#IDX151 -
emacs/hlp-cmpl.el
r8b4e972 r54fdec1 259 259 ("betti (plural)" . "betti (plural). (line 6") 260 260 ("Betti number" . "Syzygies and resolutions") 261 ("BettiNumsH" . "BettiNumsH. (line 6") 262 ("BettiNumsS" . "BettiNumsS. (line 6") 261 263 ("bFactor" . "bFactor. (line 6") 262 264 ("bfct" . "bfct. (line 6") … … 612 614 ("crypto.lib" . "crypto_lib. (line 6") 613 615 ("crypto_lib" . "crypto_lib. (line 6") 616 ("CSMA" . "CSMA. (line 6") 614 617 ("cup" . "cup. (line 6") 615 618 ("cupproduct" . "cupproduct. (line 6") … … 908 911 ("eta" . "eta. (line 6") 909 912 ("euler" . "euler. (line 6") 913 ("EulerAff" . "EulerAff. (line 6") 910 914 ("eulerChProj" . "eulerChProj. (line 6") 915 ("EulerProj" . "EulerProj. (line 6") 911 916 ("eval" . "eval. (line 6") 912 917 ("evaluate_reynolds" . "evaluate_reynolds. (line 6") … … 1063 1068 ("fullSerreRelations" . "fullSerreRelations. (line 6") 1064 1069 ("fullSpace" . "fullSpace. (line 6") 1070 ("FultonA" . "FultonA. (line 6") 1065 1071 ("Functions" . "Functions. (line 6") 1066 1072 ("further_hn_proc" . "further_hn_proc. (line 6") … … 1163 1169 ("GND.lib" . "GND_lib. (line 6") 1164 1170 ("GND_lib" . "GND_lib. (line 6") 1171 ("goettsche.lib" . "goettsche_lib. (line 6") 1172 ("goettsche_lib" . "goettsche_lib. (line 6") 1173 ("GoettscheF" . "GoettscheF. (line 6") 1165 1174 ("good basis" . "goodBasis. (line 22") 1166 1175 ("goodBasis" . "goodBasis. (line 6") … … 1818 1827 ("m_merkle_hellman_encryption" . "m_merkle_hellman_encryption") 1819 1828 ("m_merkle_hellman_transformation" . "m_merkle_hellman_transformation") 1829 ("MacdonaldF" . "MacdonaldF. (line 6") 1820 1830 ("Macintosh installation" . "Macintosh installation instructions") 1821 1831 ("magnitude" . "magnitude. (line 6") … … 2417 2427 ("powerX" . "powerX. (line 6") 2418 2428 ("powSumSym" . "powSumSym. (line 6") 2429 ("PPolyH" . "PPolyH. (line 6") 2430 ("PPolyS" . "PPolyS. (line 6") 2419 2431 ("preComp" . "preComp. (line 6") 2420 2432 ("Preface" . "Preface. (line 6") … … 2848 2860 ("secondaryPolytope" . "secondaryPolytope. (line 6") 2849 2861 ("segre" . "segre. (line 6") 2862 ("SegreA" . "SegreA. (line 6") 2850 2863 ("select" . "select. (line 6") 2851 2864 ("select1" . "select1. (line 6")
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