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--	sing_36.htm#IDX88
--MPhost	sing_19.htm#IDX66
--MPport	sing_19.htm#IDX65
--allow-net	sing_19.htm#IDX39
--batch	sing_19.htm#IDX64
--browser	sing_19.htm#IDX43
--echo	sing_19.htm#IDX35
--emacs	sing_19.htm#IDX67
--emacs-dir	sing_19.htm#IDX68
--emacs-load	sing_19.htm#IDX69
--execute	sing_19.htm#IDX56
--help	sing_19.htm#IDX37
--min-time	sing_19.htm#IDX61
--no-out	sing_19.htm#IDX49
--no-rc	sing_19.htm#IDX45
--no-shell	sing_19.htm#IDX50
--no-stdlib	sing_19.htm#IDX47
--no-tty	sing_19.htm#IDX51
--no-warn	sing_19.htm#IDX48
--quiet	sing_19.htm#IDX53
--random	sing_19.htm#IDX60
--sdb	sing_19.htm#IDX32
--singular	sing_19.htm#IDX70
--ticks-per-sec	sing_19.htm#IDX62
--user-option	sing_19.htm#IDX58
->	sing_159.htm#SEC199
-b	sing_19.htm#IDX63
-c	sing_19.htm#IDX55
-d	sing_19.htm#IDX31
-e	sing_19.htm#IDX34
-h	sing_19.htm#IDX36
-q	sing_19.htm#IDX52
-r	sing_19.htm#IDX59
-u	sing_19.htm#IDX57
-v	sing_19.htm#IDX54
..	sing_36.htm#IDX113
.singularrc file	sing_20.htm#IDX72
.singularrc file, no loading	sing_19.htm#IDX46
/	sing_36.htm#IDX90
/ 	sing_76.htm#SEC116
/  	sing_110.htm#SEC150
/   	sing_137.htm#SEC177
/    	sing_147.htm#SEC187
/     	sing_155.htm#SEC195
/      	sing_181.htm#SEC221
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<=     	sing_181.htm#SEC221
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>=    	sing_176.htm#SEC216
>=     	sing_181.htm#SEC221
?	sing_36.htm#IDX106
? 	sing_260.htm#IDX148
ADGT	sing_1036.htm#SEC1112
AG codes	sing_945.htm#SEC997
AGcode_L	sing_1890.htm#SEC1966
AGcode_Omega	sing_1891.htm#SEC1967
ASCII	sing_995.htm#SEC1071
ASCII links	sing_117.htm#SEC157
ASSUME	sing_64.htm#SEC101
A_L	sing_1589.htm#SEC1665
A_Z	sing_994.htm#SEC1070
Access to elements of a user defined type	sing_186.htm#SEC226
Adj_div	sing_1885.htm#SEC1961
Adjoint ideal	sing_1466.htm#IDX651
Alexander polynomial	sing_1560.htm#IDX675
Algebraic Geometry codes	sing_1884.htm#IDX823
Algebraic dependence	sing_924.htm#SEC976
Algebraic geometry	sing_1441.htm#SEC1517
AltVarEnd	sing_689.htm#SEC741
AltVarStart	sing_688.htm#SEC740
Ann	sing_1380.htm#SEC1456
Appel function	sing_558.htm#IDX351
Appel hypergeometric function	sing_558.htm#IDX352
Applications	sing_943.htm#SEC995
Arnol'd	sing_2337.htm#IDX973
Arnold, classification.	sing_2422.htm#IDX983
Arnold, classification. 	sing_2423.htm#IDX984
ArnoldAction	sing_1682.htm#SEC1758
Assignments for user defined types	sing_188.htm#SEC228
AssocTanToEnv	sing_1031.htm#SEC1107
Atkin	sing_1973.htm#SEC2049
Authors	sing_1.htm#IDX16
Automatic Deduction	sing_1036.htm#IDX522
Automatic Demonstration	sing_1036.htm#IDX523
BFBoundsBudur	sing_596.htm#SEC648
BINresol	sing_1479.htm#SEC1555
BSidealFromAnn	sing_594.htm#SEC646
Background	sing_3.htm#SEC5
Basic programming	sing_899.htm#SEC951
Basic programming 	sing_899.htm#SEC951
BelongSemig	sing_2418.htm#SEC2494
BerlekampMassey	sing_2526.htm#SEC2602
Bern	sing_2391.htm#SEC2467
Bernstein operator	sing_535.htm#IDX333
Bernstein-Sato ideal	sing_591.htm#IDX354
Bernstein-Sato polynomial	sing_500.htm#IDX314
Bernstein-Sato polynomial 	sing_535.htm#IDX330
Bernstein-Sato polynomial  	sing_1623.htm#IDX706
Bernstein-Sato polynomial   	sing_1627.htm#IDX723
Bernstein-Sato polynomial for variety	sing_599.htm#IDX362
BernsteinSatoIdeal	sing_595.htm#SEC647
Betti	sing_2660.htm#SEC2736
Betti number	sing_961.htm#SEC1018
BettiNumsH	sing_2557.htm#SEC2633
BettiNumsN	sing_2565.htm#SEC2641
BettiNumsQp	sing_2560.htm#SEC2636
BettiNumsS	sing_2563.htm#SEC2639
Betty number	sing_2554.htm#IDX1124
Bigatti-La Scala-Robbiano algorithm	sing_971.htm#SEC1028
BlowingUp	sing_1602.htm#SEC1678
Blowupcenter	sing_1482.htm#SEC1558
BorelCheck	sing_1557.htm#SEC1633
Bott's formula	sing_2813.htm#IDX1193
Branches of space curve singularities	sing_932.htm#SEC984
Briancon-Maisonobe algorithm	sing_535.htm#IDX339
Brieskorn lattice	sing_1623.htm#IDX702
Brieskorn lattice 	sing_1624.htm#IDX713
Brieskorn lattice  	sing_1625.htm#IDX716
Brieskorn lattice   	sing_1626.htm#IDX719
Brieskorn lattice    	sing_1627.htm#IDX722
Brieskorn lattice     	sing_1628.htm#IDX726
Brieskorn lattice      	sing_1629.htm#IDX730
Brieskorn lattice       	sing_1630.htm#IDX736
Brieskorn lattice        	sing_1631.htm#IDX744
Brieskorn lattice         	sing_1632.htm#IDX750
Brieskorn lattice          	sing_1633.htm#IDX758
Brieskorn lattice           	sing_1634.htm#IDX768
Brieskorn lattice            	sing_1645.htm#IDX774
Brieskorn lattice             	sing_1647.htm#IDX785
Brieskorn lattice              	sing_1675.htm#IDX812
Brill-Noether algorithm	sing_1884.htm#IDX824
BrillNoether	sing_1887.htm#SEC1963
Buchberger algorithm for toric ideals	sing_972.htm#SEC1029
Budur-Mustata-Saito approach	sing_599.htm#IDX366
Building Singular	sing_2870.htm#SEC2960
C programming language	sing_411.htm#SEC451
C, module ordering	sing_953.htm#IDX453
CGS	sing_1016.htm#IDX466
CM_regularity	sing_1544.htm#SEC1620
CMtype	sing_1713.htm#SEC1789
CRHT-ideal	sing_978.htm#SEC1042
CSMA	sing_2414.htm#SEC2490
CYGWIN and ESingular	sing_23.htm#SEC33
Castelnuovo-Mumford regularity	sing_1544.htm#IDX667
Category string	sing_51.htm#SEC88
CenCharDec	sing_644.htm#SEC696
Center	sing_1521.htm#SEC1597
CenterBO	sing_1528.htm#SEC1604
CentralQuot	sing_642.htm#SEC694
CentralSaturation	sing_643.htm#SEC695
Change of rings	sing_9.htm#SEC15
Characteristic sets	sing_962.htm#SEC1019
CharacteristicExponents	sing_1608.htm#SEC1684
ChernClass	sing_2826.htm#SEC2902
ChernRootsDual	sing_2370.htm#SEC2446
ChernRootsHom	sing_2379.htm#SEC2455
ChernRootsProd	sing_2372.htm#SEC2448
ChernRootsSum	sing_2368.htm#SEC2444
ChernRootsSymm	sing_2381.htm#SEC2457
ChernRootsWedge	sing_2382.htm#SEC2458
Chevalley-Rosenlicht theorem	sing_1460.htm#IDX636
Chevalley-Rosenlicht theorem 	sing_1461.htm#IDX639
Chow ring, abstract variety, projective space, Grassmannian	sing_2817.htm#IDX1198
ChowRing	sing_2817.htm#SEC2893
Classification of hypersurface singularities	sing_933.htm#SEC985
Classification of singularities	sing_2786.htm#IDX1169
Code	sing_977.htm#SEC1035
Codes and the decoding problem	sing_977.htm#SEC1034
Coding theory	sing_1883.htm#SEC1959
Coefficient rings	sing_2868.htm#SEC2953
Command line options	sing_19.htm#SEC26
Commands	sing_207.htm#SEC247
Commands for user defined types	sing_187.htm#SEC227
Commutative Algebra	sing_912.htm#SEC964
Commutative algebra	sing_1196.htm#SEC1272
CompDecomp	sing_497.htm#SEC549
CompInt	sing_2420.htm#SEC2496
CompleteHomog	sing_2358.htm#SEC2434
ComplexValue	sing_2549.htm#SEC2625
Comprehensive Groebner System	sing_1016.htm#IDX469
Computing Groebner and Standard Bases	sing_908.htm#SEC960
ConsLevels	sing_1024.htm#SEC1100
ContactMatrix	sing_1610.htm#SEC1686
Conti-Traverso algorithm	sing_967.htm#SEC1024
Contributors	sing_1.htm#IDX15
Control structures	sing_379.htm#SEC419
Control theory	sing_1917.htm#SEC1993
Cooper philosophy	sing_978.htm#SEC1040
Cornacchia	sing_1963.htm#SEC2039
CornacchiaModified	sing_1964.htm#SEC2040
Crep	sing_1019.htm#SEC1095
Critical points	sing_927.htm#SEC979
CurveParam	sing_1604.htm#SEC1680
CurveRes	sing_1603.htm#SEC1679
Curves	sing_1466.htm#IDX648
Customization of the Emacs interface	sing_25.htm#SEC36
Cyclic code	sing_1898.htm#IDX831
Cyclic roots	sing_905.htm#SEC957
D-integration	sing_558.htm#IDX348
D-localization	sing_558.htm#IDX344
D-localization 	sing_723.htm#IDX389
D-module	sing_500.htm#IDX312
D-module 	sing_535.htm#IDX327
D-module  	sing_558.htm#IDX341
D-module   	sing_591.htm#IDX353
D-module    	sing_599.htm#IDX360
D-module     	sing_701.htm#IDX374
D-module      	sing_723.htm#IDX386
D-module structure	sing_535.htm#IDX328
D-module structure 	sing_591.htm#IDX356
D-module structure  	sing_599.htm#IDX361
D-restriction	sing_558.htm#IDX346
DBM links	sing_122.htm#SEC162
DISPLAY environment variable	sing_16.htm#IDX28
DLoc	sing_561.htm#SEC613
DLoc0	sing_563.htm#SEC615
Data types	sing_72.htm#SEC112
Data types (plural)	sing_424.htm#IDX298
Debugging tools	sing_63.htm#SEC100
Decker, Wolfram	sing_1.htm#IDX17
Declaration of objects of a user defined type	sing_185.htm#SEC225
Decoding	sing_1898.htm#IDX833
Decoding codes with Groebner bases	sing_976.htm#SEC1033
Decoding method based on quadratic equations	sing_981.htm#SEC1051
Definition of a user defined type	sing_184.htm#SEC224
Deformations	sing_930.htm#SEC982
Deformations, T1 and T2	sing_929.htm#SEC981
Deg	sing_2663.htm#SEC2739
Degree	sing_2664.htm#SEC2740
DegreePure	sing_1445.htm#SEC1521
Degrees	sing_2665.htm#SEC2741
Delta	sing_1529.htm#SEC1605
DeltaList	sing_1530.htm#SEC1606
Demo mode	sing_24.htm#SEC35
Depth	sing_919.htm#SEC971
Determinacy	sing_2789.htm#IDX1173
Di Biase-Urbanke algorithm	sing_970.htm#SEC1027
Distributed computing	sing_1047.htm#IDX529
Dlocalization	sing_724.htm#SEC776
Documentation Tool	sing_60.htm#SEC97
Dp, global ordering	sing_951.htm#IDX436
Ds, local ordering	sing_952.htm#IDX446
DsingularLocus	sing_728.htm#SEC780
Dynamic loading	sing_71.htm#SEC111
Dynamic modules	sing_907.htm#SEC959
ECPP	sing_2007.htm#SEC2083
ECoef	sing_1488.htm#SEC1564
EOrdlist	sing_1486.htm#SEC1562
ERROR	sing_237.htm#SEC277
ESingular, CYGWIN	sing_23.htm#SEC33
Edatalist	sing_1485.htm#SEC1561
Edelman-Reiner	sing_2292.htm#IDX914
Editing SINGULAR input files with Emacs	sing_26.htm#SEC37
Editing input	sing_18.htm#SEC25
Elimination	sing_915.htm#SEC967
Emacs	sing_21.htm#SEC28
Emacs, Singular demo mode	sing_24.htm#SEC35
Emacs, a quick guide	sing_22.htm#SEC29
Emacs, customization of Singular mode	sing_25.htm#SEC36
Emacs, editing Singular input files	sing_26.htm#SEC37
Emacs, important commands	sing_27.htm#SEC38
Emacs, overview	sing_22.htm#SEC29
Emacs, running Singular under	sing_23.htm#SEC30
Emacs, user interface	sing_21.htm#SEC28
Emaxcont	sing_1490.htm#SEC1566
Enumerative geometry	sing_2813.htm#IDX1191
Equal	sing_1444.htm#SEC1520
Eresol	sing_1480.htm#SEC1556
EulerAff	sing_2415.htm#SEC2491
EulerProj	sing_2416.htm#SEC2492
Evaluation of logical expressions	sing_413.htm#SEC453
Examples	sing_897.htm#SEC949
Examples of ring declarations	sing_29.htm#SEC40
Examples of use of Letterplace	sing_790.htm#SEC842
Exp for matrices	sing_1462.htm#IDX640
Experimental libraries	sing_2336.htm#SEC2412
Ext	sing_1256.htm#SEC1332
Ext, computation of	sing_918.htm#SEC970
Ext_R	sing_1255.htm#SEC1331
Exterior	sing_675.htm#SEC727
Extra weight vector	sing_956.htm#SEC1008
Factorization	sing_920.htm#SEC972
FamElemsAtEnvCompPoints	sing_1032.htm#SEC1108
Feynman graph	sing_1232.htm#IDX562
Finite fields	sing_914.htm#SEC966
First steps	sing_6.htm#SEC12
Fitzgerald-Lax method	sing_980.htm#SEC1048
Float	sing_251.htm#SEC291
Flow control	sing_40.htm#SEC70
Formal Checker	sing_59.htm#SEC96
Formatting output	sing_904.htm#SEC956
Free associative algebras	sing_800.htm#SEC852
Free resolution	sing_916.htm#SEC968
Free resolution, graded	sing_917.htm#SEC969
FultonA	sing_2413.htm#SEC2489
Functionality and release notes of Letterplace	sing_791.htm#SEC843
Functions	sing_208.htm#SEC248
Functions (letterplace)	sing_793.htm#SEC845
Future benefits of Singular 4	sing_2868.htm#SEC2958
G-algebra	sing_488.htm#SEC528
G-algebra 	sing_488.htm#SEC530
G-algebra, setup	sing_488.htm#SEC532
GBWeight	sing_564.htm#SEC616
GBsolve	sing_1797.htm#SEC1873
GIT-Fans	sing_939.htm#SEC991
GITcone	sing_2579.htm#SEC2655
GITfan	sing_2580.htm#SEC2656
GITfanFromOrbitCones	sing_2581.htm#SEC2657
GITfanParallel	sing_2582.htm#SEC2658
GITfanParallelSymmetric	sing_2597.htm#SEC2673
GITfanSymmetric	sing_2596.htm#SEC2672
GKZfan	sing_2583.htm#SEC2659
GKZsystem	sing_640.htm#SEC692
GKdim	sing_613.htm#SEC665
GMP	sing_1.htm#IDX3
GMP 	sing_2872.htm#SEC2962
GND.lib	sing_2604.htm#SEC2680
GND_lib	sing_2604.htm#SEC2680
GTZmod	sing_1306.htm#SEC1382
GTZopt	sing_1313.htm#SEC1389
G_a -Invariants	sing_936.htm#SEC988
Gamma	sing_1495.htm#SEC1571
Gauss-Manin connection	sing_963.htm#SEC1020
Gauss-Manin connection 	sing_1675.htm#IDX811
Gauss-Manin connection  	sing_1722.htm#IDX814
Gauss-Manin system	sing_1623.htm#IDX701
Gauss-Manin system 	sing_1624.htm#IDX712
Gauss-Manin system  	sing_1625.htm#IDX715
Gauss-Manin system   	sing_1626.htm#IDX718
Gauss-Manin system    	sing_1627.htm#IDX721
Gauss-Manin system     	sing_1628.htm#IDX725
Gauss-Manin system      	sing_1629.htm#IDX729
Gauss-Manin system       	sing_1630.htm#IDX735
Gauss-Manin system        	sing_1631.htm#IDX743
Gauss-Manin system         	sing_1632.htm#IDX749
Gauss-Manin system          	sing_1633.htm#IDX757
Gauss-Manin system           	sing_1634.htm#IDX767
Gauss-Manin system            	sing_1645.htm#IDX773
Gauss-Manin system             	sing_1647.htm#IDX784
Gelfand-Kirillov dimension	sing_840.htm#IDX410
General command syntax	sing_35.htm#SEC59
General concepts	sing_12.htm#SEC18
General purpose	sing_988.htm#SEC1064
General syntax of a ring declaration	sing_30.htm#SEC41
Generalized Hilbert Syzygy Theorem	sing_490.htm#SEC540
Generalized Newton identities	sing_979.htm#SEC1045
Geometric Invariant Theory	sing_938.htm#SEC990
Geometric Theorems	sing_1036.htm#IDX524
Geometric genus	sing_1466.htm#IDX652
German Umlaute	sing_409.htm#IDX285
Getting started	sing_5.htm#SEC11
Global orderings	sing_951.htm#SEC1003
Goettsche's formula	sing_2554.htm#IDX1125
GoettscheF	sing_2555.htm#SEC2631
Graded commutative algebras	sing_788.htm#SEC840
Grassmannian	sing_2818.htm#SEC2894
Grassmannian, abstract variety, Schubert calculus	sing_2818.htm#IDX1199
Greuel, Gert-Martin	sing_1.htm#IDX18
Groebner Bases	sing_908.htm#SEC960
Groebner bases for two-sided ideals in free associative algebras	sing_802.htm#SEC854
Groebner bases in G-algebras	sing_489.htm#SEC533
Groebner bases in free associative algebras	sing_802.htm#SEC854
Groebner bases, decodeGB	sing_1898.htm#IDX835
Groebner bases, slim	sing_911.htm#SEC963
Groebner basis conversion	sing_910.htm#SEC962
Groebner cover	sing_1015.htm#IDX462
Groebner cover 	sing_1022.htm#IDX481
Groebner cover  	sing_1023.htm#IDX488
Groebner fan	sing_2162.htm#IDX852
Groebner walk	sing_1247.htm#IDX583
Groebner walk 	sing_1249.htm#IDX585
Groebner walk  	sing_2810.htm#IDX1187
Groebner walk   	sing_2811.htm#IDX1188
Groebnerwalk	sing_1243.htm#IDX579
Groebnerwalk 	sing_2697.htm#IDX1140
Groebnerwalk  	sing_2809.htm#IDX1186
Groebnerwalk   	sing_2852.htm#IDX1215
Gromov-Witten invariants	sing_1232.htm#IDX559
Gromov-Witten invariants 	sing_1238.htm#IDX568
Gromov-Witten invariants  	sing_1239.htm#IDX572
Gromov-Witten invariants, lines on hypersurfaces	sing_2843.htm#IDX1211
Gromov-Witten invariants, multiple covers	sing_2842.htm#IDX1210
Gromov-Witten invariants, rational curves on Calabi-Yau threefolds	sing_2844.htm#IDX1212
Gromov-Witten invariants, rational curves on Calabi-Yau threefolds 	sing_2845.htm#IDX1213
Gromov-Witten invariants.	sing_2813.htm#IDX1194
Gweights	sing_669.htm#SEC721
H2basis	sing_1680.htm#SEC1756
HHnormalForm	sing_2431.htm#SEC2507
Hamburger-Noether expansion	sing_1560.htm#IDX671
Hamburger-Noether expansion 	sing_1648.htm#IDX793
Hamburger-Noether expansions	sing_1885.htm#IDX825
Handling graded modules	sing_917.htm#SEC969
Hcode	sing_1582.htm#SEC1658
Help string	sing_45.htm#SEC82
Hensel	sing_242.htm#SEC282
Hilbert function	sing_357.htm#IDX188
Hilbert function 	sing_960.htm#SEC1014
Hilbert scheme	sing_2554.htm#IDX1128
Hilbert series	sing_805.htm#IDX401
Hilbert series 	sing_960.htm#SEC1014
Hilbert-driven GB algorithm	sing_910.htm#SEC962
HilbertClassPoly	sing_1970.htm#SEC2046
HilbertSeries	sing_1775.htm#SEC1851
HilbertWeights	sing_1776.htm#SEC1852
Hom	sing_1259.htm#SEC1335
HomJJ	sing_1336.htm#SEC1412
Hosten-Sturmfels algorithm	sing_969.htm#SEC1026
How to enter and exit	sing_14.htm#SEC20
How to use this manual	sing_4.htm#SEC6
Hurwitz numbers	sing_1238.htm#IDX571
Hurwitz numbers 	sing_1239.htm#IDX575
Hypersurface singularities, classification of	sing_933.htm#SEC985
I-regular function	sing_1022.htm#IDX487
IN	sing_281.htm#IDX149
Ideal membership	sing_959.htm#IDX458
Identifiers, syntax of	sing_37.htm#SEC65
ImageGroup	sing_1778.htm#SEC1854
ImageVariety	sing_1777.htm#SEC1853
Imap, option	sing_316.htm#IDX175
Implemented algorithms	sing_33.htm#SEC47
Incl	sing_1443.htm#SEC1519
Index	sing_2877.htm#SEC2967
Info string	sing_52.htm#SEC89
InterDiv	sing_1511.htm#SEC1587
Interactive use	sing_13.htm#SEC19
Interrupting SINGULAR	sing_17.htm#SEC24
IntersectWithSub	sing_645.htm#SEC697
Intersection theory	sing_2813.htm#IDX1190
IntersectionMatrix	sing_1609.htm#SEC1685
Introduction	sing_2.htm#SEC4
Invariant Theory	sing_935.htm#SEC987
Invariant theory	sing_1727.htm#SEC1803
InvariantQ	sing_1780.htm#SEC1856
InvariantRing	sing_1779.htm#SEC1855
Invariants of a finite group	sing_937.htm#SEC989
Invariants of plane curve singularities	sing_931.htm#SEC983
IsSCA	sing_690.htm#SEC742
J-marked schemes	sing_1551.htm#IDX669
J-marked schemes, Borel ideals	sing_1556.htm#IDX670
JMBTest.lib	sing_1551.htm#SEC1627
JMBTest_lib	sing_1551.htm#SEC1627
JMSConst.lib	sing_1556.htm#SEC1632
JMSConst_lib	sing_1556.htm#SEC1632
JMarkedScheme	sing_1558.htm#SEC1634
Jacobi	sing_1980.htm#SEC2056
Jacobson form	sing_1935.htm#IDX836
Jacobson normal form	sing_1935.htm#IDX837
Janet basis	sing_2808.htm#IDX1184
Janet division, Janet basis	sing_2807.htm#IDX1183
JuReTopDim	sing_1453.htm#SEC1529
JuReZeroDim	sing_1454.htm#SEC1530
K-basis	sing_805.htm#IDX399
K-dimension	sing_805.htm#IDX400
KScoef	sing_1673.htm#SEC1749
KSconvert	sing_1671.htm#SEC1747
KSker	sing_1670.htm#SEC1746
KSlinear	sing_1672.htm#SEC1748
KSpencerKernel	sing_1720.htm#SEC1796
KeneshlouMatrixPresentation	sing_2623.htm#SEC2699
Ker	sing_2669.htm#SEC2745
Kernel of module homomorphisms	sing_923.htm#SEC975
KoszulHomology	sing_1268.htm#SEC1344
Kronecker module	sing_2554.htm#IDX1127
Kronecker product	sing_361.htm#SEC401
L, ordering	sing_957.htm#SEC1009
LETTERPLACE	sing_789.htm#SEC841
LETTERPLACE libraries	sing_804.htm#SEC856
LIB	sing_285.htm#SEC325
LIB commands	sing_53.htm#SEC90
LIBs	sing_984.htm#SEC1060
LLL	sing_359.htm#IDX220
LOT algorithm	sing_535.htm#IDX340
LU-decomposition of a matrix of numbers	sing_290.htm#SEC330
Laurent series	sing_1236.htm#IDX567
Left and two-sided Groebner bases	sing_941.htm#SEC993
Left ideal membership	sing_489.htm#SEC536
Left normal form	sing_489.htm#SEC535
LengthSym	sing_700.htm#SEC752
LengthSymElement	sing_699.htm#SEC751
Letterplace	sing_789.htm#SEC841
Letterplace Groebner basis	sing_805.htm#IDX398
Letterplace Groebner basis 	sing_840.htm#IDX408
Letterplace Groebner basis  	sing_849.htm#IDX417
Letterplace correspondence	sing_803.htm#SEC855
Letterplace libraries	sing_804.htm#SEC856
Letterplace ring	sing_355.htm#SEC395
Levels	sing_1025.htm#SEC1101
Lexicographic Groebner bases, computation of	sing_910.htm#SEC962
Libraries	sing_48.htm#SEC85
Libraries 	sing_900.htm#SEC952
Libraries in the SINGULAR Documentation	sing_49.htm#SEC86
Library versioning	sing_2868.htm#SEC2956
Lie	sing_2501.htm#IDX1101
Lie algebra	sing_1461.htm#IDX637
Lie bracket	sing_458.htm#SEC498
Lie group	sing_1464.htm#IDX642
Lie group 	sing_1465.htm#IDX645
Limitations	sing_409.htm#SEC449
Linear algebra	sing_1137.htm#SEC1213
Linear code	sing_1898.htm#IDX832
LinearActionQ	sing_1782.htm#SEC1858
LinearCombinationQ	sing_1783.htm#SEC1859
LinearizeAction	sing_1781.htm#SEC1857
Loading a library	sing_62.htm#SEC99
Local orderings	sing_952.htm#SEC1004
Log for matrices	sing_1463.htm#IDX641
Long coefficients	sing_902.htm#SEC954
M, ordering	sing_954.htm#SEC1006
MVComplex	sing_2453.htm#SEC2529
Macdonald's formula	sing_2554.htm#IDX1126
MacdonaldF	sing_2561.htm#SEC2637
Macintosh installation	sing_2876.htm#SEC2966
Mathematical background	sing_958.htm#SEC1010
Mathematical background (letterplace)	sing_799.htm#SEC851
Mathematical background (plural)	sing_487.htm#SEC527
Matrix orderings	sing_954.htm#SEC1006
Max	sing_1689.htm#SEC1765
Maximus	sing_1553.htm#SEC1629
Maxord	sing_1494.htm#SEC1570
MillerRabin	sing_1990.htm#SEC2066
Milnor code	sing_2337.htm#IDX975
Milnor number	sing_926.htm#SEC978
Milnor number 	sing_2788.htm#IDX1172
Min	sing_1690.htm#SEC1766
MinMult	sing_2419.htm#SEC2495
MinimalDecomposition	sing_1784.htm#SEC1860
Minimum distance	sing_1898.htm#IDX834
Minimus	sing_1552.htm#SEC1628
Miscellaneous libraries	sing_2263.htm#SEC2339
ModEqn	sing_1683.htm#SEC1759
Modular techniques	sing_1047.htm#IDX526
Module orderings	sing_953.htm#SEC1005
Modules and and their annihilator	sing_10.htm#SEC16
Monodromy	sing_1675.htm#IDX809
Monomial orderings	sing_948.htm#SEC1000
Monomial orderings on free algebras	sing_801.htm#SEC853
Monomial orderings, Term orderings	sing_31.htm#SEC44
Mori dream spaces	sing_2346.htm#IDX978
Morse lemma	sing_2787.htm#IDX1170
Morse lemma 	sing_2790.htm#IDX1174
MultiplicitySequence	sing_1607.htm#SEC1683
NF	sing_335.htm#SEC375
NF (letterplace)	sing_795.htm#SEC847
NF (plural)	sing_479.htm#SEC519
NFMora	sing_2056.htm#SEC2132
NPos	sing_1326.htm#SEC1402
NPos_test	sing_1324.htm#SEC1400
NSplaces	sing_1886.htm#SEC1962
NTL	sing_1.htm#IDX4
NakYoshF	sing_2558.htm#SEC2634
Names	sing_37.htm#SEC65
Names in procedures	sing_46.htm#SEC83
Names, indexed	sing_37.htm#SEC65
New orderings for modules	sing_2868.htm#SEC2957
Newton non-degenerate	sing_1662.htm#IDX807
Newton polygon	sing_1661.htm#IDX806
Newton polygon 	sing_1662.htm#IDX808
Newton polygons	sing_2855.htm#IDX1218
Newton polytope	sing_2162.htm#IDX851
Newton step	sing_2791.htm#IDX1178
NoetherPosition	sing_1320.htm#SEC1396
Non-commutative algebra	sing_940.htm#SEC992
Non-commutative algebra 	sing_975.htm#SEC1032
Non-commutative subsystem	sing_422.htm#SEC462
Nonhyp	sing_1483.htm#SEC1559
Normalization	sing_922.htm#SEC974
Notes for Singular users	sing_2868.htm#SEC2952
Notes for developers	sing_2869.htm#SEC2959
NullCone	sing_1785.htm#SEC1861
NumIrrDecom	sing_1457.htm#SEC1533
NumLocalDim	sing_1446.htm#SEC1522
NumPrimDecom	sing_1459.htm#SEC1535
Oaku-Takayama algorithm	sing_535.htm#IDX338
Objects	sing_38.htm#SEC66
Orlik-Solomon	sing_2293.htm#IDX915
Output	sing_2679.htm#IDX1138
Output 	sing_2755.htm#IDX1145
Output  	sing_2757.htm#IDX1146
Output   	sing_2758.htm#IDX1147
Output    	sing_2759.htm#IDX1148
Output     	sing_2760.htm#IDX1149
Output      	sing_2761.htm#IDX1150
Output       	sing_2762.htm#IDX1151
Output        	sing_2763.htm#IDX1152
Output         	sing_2764.htm#IDX1153
Output          	sing_2765.htm#IDX1154
Output           	sing_2766.htm#IDX1155
Output            	sing_2767.htm#IDX1156
Output             	sing_2768.htm#IDX1157
Output              	sing_2769.htm#IDX1158
Output               	sing_2770.htm#IDX1159
Output                	sing_2771.htm#IDX1160
Output                 	sing_2772.htm#IDX1161
Output                  	sing_2773.htm#IDX1162
Output                   	sing_2774.htm#IDX1163
Output                    	sing_2775.htm#IDX1164
Output                     	sing_2776.htm#IDX1165
Output                      	sing_2777.htm#IDX1166
Output                       	sing_2778.htm#IDX1167
Output                        	sing_2779.htm#IDX1168
Output, formatting of	sing_904.htm#SEC956
PBW	sing_514.htm#IDX326
PBW basis	sing_488.htm#SEC529
PBW_eqDeg	sing_532.htm#SEC584
PBW_maxDeg	sing_533.htm#SEC585
PBW_maxMonom	sing_534.htm#SEC586
PEsolve	sing_1795.htm#SEC1871
PH_ais	sing_2315.htm#SEC2391
PH_nais	sing_2316.htm#SEC2392
PLURAL	sing_423.htm#SEC463
PLURAL LIBs	sing_492.htm#SEC544
PLURAL libraries	sing_492.htm#SEC544
PPolyH	sing_2556.htm#SEC2632
PPolyN	sing_2564.htm#SEC2640
PPolyQp	sing_2559.htm#SEC2635
PPolyS	sing_2562.htm#SEC2638
ParToVar	sing_2551.htm#SEC2627
Parallelization	sing_906.htm#SEC958
Parallelization 	sing_1047.htm#IDX527
Parameter list	sing_44.htm#SEC81
Parameters	sing_903.htm#SEC955
Parametrization	sing_1466.htm#IDX649
Parametrization, image.	sing_1476.htm#IDX661
PartC	sing_2409.htm#SEC2485
PartitionVar	sing_2548.htm#SEC2624
Path names	sing_2868.htm#SEC2955
PerfectPowerTest	sing_1953.htm#SEC2029
Perturbation walk	sing_1248.htm#IDX584
Pfister, Gerhard	sing_1.htm#IDX19
Pipe links	sing_121.htm#SEC161
PocklingtonLehmer	sing_1992.htm#SEC2068
Poincare polynomial	sing_2305.htm#IDX939
Polar curves	sing_928.htm#SEC980
PollardRho	sing_1993.htm#SEC2069
PolyBoRi, Boolean Groebner Basis	sing_2318.htm#IDX955
PolyBoRi, Boolean Groebner Basis 	sing_2320.htm#IDX956
PolyBoRi, Boolean Groebner Basis  	sing_2321.htm#IDX957
PolyBoRi, Boolean Groebner Basis   	sing_2322.htm#IDX958
PolyBoRi, Boolean Groebner Basis    	sing_2323.htm#IDX959
PolyBoRi, Boolean Groebner Basis     	sing_2324.htm#IDX960
PolyBoRi, Boolean Groebner Basis      	sing_2325.htm#IDX961
PolyBoRi, Boolean Groebner Basis       	sing_2326.htm#IDX962
PolyBoRi, Boolean Groebner Basis        	sing_2327.htm#IDX963
PolyBoRi, Boolean Groebner Basis         	sing_2328.htm#IDX964
PolyBoRi, Boolean Groebner Basis          	sing_2329.htm#IDX965
PolyBoRi, Boolean Groebner Basis           	sing_2330.htm#IDX966
PolyBoRi, Boolean Groebner Basis            	sing_2331.htm#IDX967
PolyBoRi, Boolean Groebner Basis             	sing_2332.htm#IDX968
PolyBoRi, Boolean Groebner Basis              	sing_2334.htm#IDX970
PolyBoRi, zero-supressed decision diagram	sing_2333.htm#IDX969
Polybori, Boolean Groebner Basis	sing_2335.htm#IDX971
Polynomial data	sing_946.htm#SEC998
Pottier algorithm	sing_968.htm#SEC1025
Preface	sing_1.htm#SEC1
Prep	sing_1020.htm#SEC1096
Primary decomposition	sing_921.htm#SEC973
PrimdecA	sing_1302.htm#SEC1378
PrimdecB	sing_1303.htm#SEC1379
Procedure definition	sing_43.htm#SEC78
Procedure-specific commands	sing_47.htm#SEC84
Procedures	sing_42.htm#SEC77
Procedures and libraries	sing_8.htm#SEC14
Procedures and libraries 	sing_900.htm#SEC952
Procedures in a library	sing_54.htm#SEC91
Product orderings	sing_955.htm#SEC1007
Programming	sing_898.htm#SEC950
Pseudo ordering L	sing_957.htm#SEC1009
PtoCrep	sing_1021.htm#SEC1097
Puiseux expansion	sing_1560.htm#IDX672
Puiseux expansion 	sing_1648.htm#IDX794
Puiseux pairs	sing_931.htm#SEC983
Puiseux pairs 	sing_1654.htm#IDX799
QQ	sing_28.htm#SEC39
Qso3Casimir	sing_639.htm#SEC691
Quot-scheme	sing_2554.htm#IDX1129
Quotient	sing_1837.htm#SEC1913
QuotientEquations	sing_1684.htm#SEC1760
Rational curves	sing_1466.htm#IDX650
ReJunkUseHomo	sing_1452.htm#SEC1528
ReesAlgebra	sing_1419.htm#SEC1495
References	sing_983.htm#SEC1057
References (plural)	sing_491.htm#SEC541
References and history of Letterplace	sing_792.htm#SEC844
Release Notes	sing_2864.htm#SEC2940
Res	sing_2659.htm#SEC2735
ResTree	sing_1512.htm#SEC1588
Resolution	sing_11.htm#SEC17
Resolution of singularities	sing_934.htm#SEC986
Resolution, free	sing_916.htm#SEC968
ReynoldsImage	sing_1786.htm#SEC1862
ReynoldsOperator	sing_1787.htm#SEC1863
RiemannRochBN	sing_2354.htm#SEC2430
RiemannRochHess	sing_2642.htm#SEC2718
Right Groebner bases and syzygies	sing_942.htm#SEC994
Ring-dependent options	sing_2868.htm#SEC2954
Rings and orderings	sing_28.htm#SEC39
Rings and standard bases	sing_7.htm#SEC13
Running SINGULAR under Emacs	sing_23.htm#SEC30
SCA	sing_788.htm#SEC840
SDB breakpoint	sing_66.htm#SEC106
SDB debugger	sing_66.htm#SEC106
SDLoc	sing_562.htm#SEC614
SINGULAR libraries	sing_984.htm#SEC1060
SINGULARHIST	sing_18.htm#SEC25
SV-decoding algorithm	sing_1893.htm#IDX828
SV-decoding algorithm, preprocessing	sing_1892.htm#IDX827
Sannfs	sing_538.htm#SEC590
SannfsBFCT	sing_547.htm#SEC599
SannfsVar	sing_602.htm#SEC654
Sannfslog	sing_539.htm#SEC591
Saturation	sing_913.htm#SEC965
Saturation 	sing_1229.htm#IDX553
Sch@"onemann, Hans	sing_1.htm#IDX20
Schoof	sing_2004.htm#SEC2080
Schubert calculus	sing_2813.htm#IDX1192
SchubertClass	sing_2850.htm#SEC2926
SchurCh	sing_2406.htm#SEC2482
SchurS	sing_2405.htm#SEC2481
SegreA	sing_2412.htm#SEC2488
Semigroup	sing_1600.htm#SEC1676
Serre relations	sing_811.htm#IDX405
SetDeg	sing_2662.htm#SEC2738
Setting up a G-algebra	sing_488.htm#SEC532
ShanksMestre	sing_2003.htm#SEC2079
SimplifyIdeal	sing_1788.htm#SEC1864
Singular	sing_359.htm#IDX257
Singular 3 and Singular 4	sing_2866.htm#SEC2950
Singular, customization of Emacs user interface	sing_25.htm#SEC36
Singular, demo mode	sing_24.htm#SEC35
Singular, editing input files with Emacs	sing_26.htm#SEC37
Singular, important commands of Emacs interface	sing_27.htm#SEC38
Singular, running within Emacs	sing_23.htm#SEC30
Singular2bertini	sing_1450.htm#SEC1526
SingularLib	sing_359.htm#IDX259
Singularities	sing_1559.htm#SEC1635
Singularity Theory	sing_925.htm#SEC977
Skeletons for parallelization	sing_1047.htm#IDX528
Smith form	sing_1935.htm#IDX838
Smith normal form	sing_1935.htm#IDX839
SolowayStrassen	sing_1991.htm#SEC2067
Solving systems of polynomial equations	sing_944.htm#SEC996
Source	sing_2651.htm#SEC2727
Source code debugger, invocation	sing_19.htm#IDX33
Space curve singularities, branches of	sing_932.htm#SEC984
Special characters	sing_36.htm#SEC64
Splitting lemma	sing_2787.htm#IDX1171
Splitting lemma 	sing_2790.htm#IDX1175
Ssi file links	sing_119.htm#SEC159
Ssi links	sing_118.htm#SEC158
Ssi tcp links	sing_120.htm#SEC160
StabEqn	sing_1685.htm#SEC1761
StabEqnId	sing_1686.htm#SEC1762
StabOrder	sing_1687.htm#SEC1763
Standard Bases	sing_908.htm#SEC960
Standard bases	sing_959.htm#SEC1011
StartOrderingV	sing_1554.htm#SEC1630
Startup sequence	sing_20.htm#SEC27
StringF	sing_1674.htm#SEC1750
SymGroup	sing_698.htm#SEC750
Symbolic-numerical solving	sing_944.htm#SEC996
Symbolic-numerical solving 	sing_1792.htm#SEC1868
System and Control theory	sing_1917.htm#SEC1993
System dependent limitations	sing_410.htm#SEC450
System variables	sing_396.htm#SEC436
Syzygies and resolutions	sing_961.htm#SEC1015
Syzygies and resolutions (plural)	sing_490.htm#SEC537
T1	sing_929.htm#SEC981
T2	sing_929.htm#SEC981
TRACE	sing_65.htm#SEC102
TRACE 	sing_405.htm#SEC445
T_1	sing_1707.htm#SEC1783
T_12	sing_1709.htm#SEC1785
T_2	sing_1708.htm#SEC1784
Target	sing_2650.htm#SEC2726
Teaching	sing_1949.htm#SEC2025
Template for writing a library	sing_55.htm#SEC92
TestGRRes	sing_2622.htm#SEC2698
TestJMark	sing_1555.htm#SEC1631
The SINGULAR language	sing_34.htm#SEC56
The Tran algorithm	sing_1245.htm#IDX581
The fractal walk algorithm	sing_1244.htm#IDX580
The fractal walk algorithm 	sing_2812.htm#IDX1189
The online help system	sing_16.htm#SEC22
Tjurina	sing_1705.htm#SEC1781
Tjurina number	sing_926.htm#SEC978
Tjurina number 	sing_1341.htm#IDX610
Top 20 Emacs commands	sing_27.htm#SEC38
Tor	sing_1270.htm#SEC1346
Toric ideals and integer programming	sing_964.htm#SEC1021
Tricks and pitfalls	sing_408.htm#SEC448
Tropical Geometry	sing_2101.htm#SEC2177
Type casting	sing_39.htm#SEC69
Type conversion	sing_39.htm#SEC68
Typesetting of help and info strings	sing_61.htm#SEC98
U_D_O	sing_1185.htm#SEC1261
Ufnarovski graph	sing_840.htm#IDX413
Unix installation	sing_2874.htm#SEC2964
UpOneMatrix	sing_687.htm#SEC739
UpperMonomials	sing_1688.htm#SEC1764
UseBertini	sing_1449.htm#SEC1525
User defined types	sing_183.htm#SEC223
V-filtration	sing_1623.htm#IDX704
V-filtration 	sing_1629.htm#IDX732
V-filtration  	sing_1630.htm#IDX738
V-filtration   	sing_1631.htm#IDX746
V-filtration    	sing_1632.htm#IDX752
V-filtration     	sing_1633.htm#IDX760
V-filtration      	sing_1634.htm#IDX770
V-filtration       	sing_1645.htm#IDX776
V-filtration        	sing_1647.htm#IDX787
VarToPar	sing_2550.htm#SEC2626
Variables, indexed	sing_37.htm#SEC65
Version number	sing_2867.htm#SEC2951
Version schema for Singular	sing_2867.htm#SEC2951
Version string	sing_50.htm#SEC87
Visualization	sing_1855.htm#SEC1931
WLemma	sing_1034.htm#SEC1110
WP, global ordering	sing_951.htm#IDX440
WSemigroup	sing_1605.htm#SEC1681
Weierstrass	sing_1888.htm#SEC1964
Weierstrass semigroup	sing_1884.htm#IDX822
Weyl	sing_672.htm#SEC724
Weyl algebra	sing_535.htm#IDX332
Weyl algebra 	sing_591.htm#IDX358
Weyl algebra  	sing_599.htm#IDX364
Weyl closure	sing_723.htm#IDX392
WeylClosure	sing_725.htm#SEC777
WeylClosure1	sing_726.htm#SEC778
Wibmer's Lemma	sing_1034.htm#IDX521
Windows installation	sing_2875.htm#SEC2965
WitSet	sing_1456.htm#SEC1532
WitSupSet	sing_1455.htm#SEC1531
Ws, local ordering	sing_952.htm#IDX452
XLsolve	sing_1798.htm#SEC1874
ZZ	sing_28.htm#SEC39
ZZ/m	sing_28.htm#SEC39
ZZ/p	sing_28.htm#SEC39
ZZsolve	sing_1799.htm#SEC1875
[	sing_36.htm#IDX83
[]	sing_142.htm#SEC182
[] 	sing_155.htm#SEC195
[]  	sing_176.htm#SEC216
[]   	sing_181.htm#SEC221
\	sing_36.htm#IDX112
]	sing_36.htm#IDX84
^	sing_36.htm#IDX92
^ 	sing_81.htm#SEC121
^  	sing_93.htm#SEC133
^   	sing_147.htm#SEC187
^    	sing_155.htm#SEC195
_	sing_36.htm#IDX116
`	sing_36.htm#IDX105
a, ordering	sing_956.htm#SEC1008
absFactorize	sing_1198.htm#SEC1274
absFactorizeBCG	sing_1199.htm#SEC1275
absPrimdecGTZ	sing_1399.htm#SEC1475
absPrimdecGTZE	sing_1400.htm#SEC1476
absValue	sing_996.htm#SEC1072
absfact.lib	sing_1197.htm#SEC1273
absfact_lib	sing_1197.htm#SEC1273
absolute factorization.	sing_1197.htm#IDX552
abstract variety, projective space, Grassmannian	sing_2814.htm#IDX1195
abstract variety, projective space, Grassmannian 	sing_2815.htm#IDX1196
abstractR	sing_1538.htm#SEC1614
actionIsProper	sing_1768.htm#SEC1844
add	sing_2470.htm#IDX1034
add 	sing_2492.htm#IDX1082
addLeftFractions	sing_777.htm#SEC829
addModules	sing_2671.htm#SEC2747
addNvarsTo	sing_1121.htm#SEC1197
addRat	sing_744.htm#SEC796
addSheaf	sing_2833.htm#SEC2909
addcol	sing_1154.htm#SEC1230
addcores	sing_1090.htm#SEC1166
addnondegeneratevariables	sing_2790.htm#SEC2866
addrow	sing_1155.htm#SEC1231
addvarsTo	sing_1120.htm#SEC1196
ademRelations	sing_815.htm#SEC867
adjoint	sing_1179.htm#SEC1255
adjointIdeal	sing_1467.htm#SEC1543
adjunction divisor	sing_1885.htm#IDX826
admissibleSub	sing_663.htm#SEC715
afaces	sing_2575.htm#SEC2651
affine code	sing_980.htm#SEC1049
ainvar.lib	sing_1765.htm#SEC1841
ainvar_lib	sing_1765.htm#SEC1841
aksaka.lib	sing_1950.htm#SEC2026
aksaka_lib	sing_1950.htm#SEC2026
alexanderpolynomial	sing_1563.htm#SEC1639
alexpoly.lib	sing_1560.htm#SEC1636
alexpoly_lib	sing_1560.htm#SEC1636
algDependent	sing_1204.htm#SEC1280
alg_kernel	sing_1205.htm#SEC1281
algebra.lib	sing_1200.htm#SEC1276
algebra_containment	sing_1201.htm#SEC1277
algebra_lib	sing_1200.htm#SEC1276
algebraic dependence	sing_693.htm#IDX370
algebraic field extension	sing_1413.htm#IDX619
algebraicDependence	sing_1426.htm#SEC1502
algorithm of Bigatti, La Scala and Robbiano	sing_971.htm#SEC1028
algorithm of Conti and Traverso	sing_967.htm#SEC1024
algorithm of Di Biase and Urbanke	sing_970.htm#SEC1027
algorithm of Hosten and Sturmfels	sing_969.htm#SEC1026
algorithm of Pottier	sing_968.htm#SEC1025
alias	sing_35.htm#SEC59
align	sing_209.htm#SEC249
all.lib	sing_989.htm#SEC1065
allDoubleExt	sing_710.htm#SEC762
allExtOfLeft	sing_707.htm#SEC759
allExtOfRight	sing_708.htm#SEC760
allPositive	sing_511.htm#SEC563
all_lib	sing_989.htm#SEC1065
allowing net access	sing_19.htm#IDX41
allprint	sing_1038.htm#SEC1114
allreal	sing_2093.htm#SEC2169
allrealst	sing_2091.htm#SEC2167
allsquarefree	sing_1667.htm#SEC1743
ambientDimension	sing_2106.htm#SEC2182
and	sing_101.htm#SEC141
and 	sing_413.htm#SEC453
annPoly	sing_559.htm#SEC611
annRat	sing_560.htm#SEC612
annRatSyz	sing_733.htm#SEC785
annfalphaI	sing_597.htm#SEC649
annfs	sing_536.htm#SEC588
annfs0	sing_548.htm#SEC600
annfs2	sing_549.htm#SEC601
annfsBMI	sing_545.htm#SEC597
annfsLogIdeal	sing_592.htm#SEC644
annfsParamBM	sing_544.htm#SEC596
annfsRB	sing_550.htm#SEC602
annfspecial	sing_537.htm#SEC589
annihilator of polynomial	sing_558.htm#IDX342
annihilator of rational function	sing_558.htm#IDX343
annihilator of rational function 	sing_723.htm#IDX395
annihilatorMultiFs	sing_593.htm#SEC645
annil	sing_1308.htm#SEC1384
appelF1	sing_577.htm#SEC629
appelF2	sing_578.htm#SEC630
appelF4	sing_579.htm#SEC631
appendWeight2Ord	sing_665.htm#SEC717
application	sing_2498.htm#IDX1097
apply	sing_380.htm#SEC420
applyAdF	sing_527.htm#SEC579
applyPermutationToIntvec	sing_2600.htm#SEC2676
arcpoint.lib	sing_1573.htm#SEC1649
arcpoint_lib	sing_1573.htm#SEC1649
areEqualLeftFractions	sing_779.htm#SEC831
areZeroElements	sing_2738.htm#SEC2814
argument, default	sing_44.htm#SEC81
argument, optional	sing_44.htm#SEC81
arnoldClassify	sing_2341.htm#SEC2417
arnoldCorank	sing_2342.htm#SEC2418
arnoldDeterminacy	sing_2343.htm#SEC2419
arnoldListAllSeries	sing_2338.htm#SEC2414
arnoldMilnorCode	sing_2344.htm#SEC2420
arnoldMorseSplit	sing_2345.htm#SEC2421
arnoldNormalForm	sing_2340.htm#SEC2416
arnoldShowSeries	sing_2339.htm#SEC2415
arnoldclassify.lib	sing_2337.htm#SEC2413
arnoldclassify_lib	sing_2337.htm#SEC2413
arr.lib	sing_2264.htm#SEC2340
arr2multarr	sing_2297.htm#SEC2373
arrBoolean	sing_2286.htm#SEC2362
arrBoundedChambers	sing_2307.htm#SEC2383
arrBraid	sing_2287.htm#SEC2363
arrCenter	sing_2274.htm#SEC2350
arrCentered	sing_2276.htm#SEC2352
arrCentral	sing_2275.htm#SEC2351
arrCentralize	sing_2277.htm#SEC2353
arrChambers	sing_2306.htm#SEC2382
arrCharPoly	sing_2304.htm#SEC2380
arrCone	sing_2280.htm#SEC2356
arrCoordChange	sing_2278.htm#SEC2354
arrCoordNormalize	sing_2279.htm#SEC2355
arrDecone	sing_2281.htm#SEC2357
arrDer	sing_2294.htm#SEC2370
arrEdelmanReiner	sing_2292.htm#SEC2368
arrEssentialize	sing_2285.htm#SEC2361
arrExponents	sing_2296.htm#SEC2372
arrFlats	sing_2301.htm#SEC2377
arrIsEssential	sing_2284.htm#SEC2360
arrIsFree	sing_2295.htm#SEC2371
arrLastVar	sing_2273.htm#SEC2349
arrLattice	sing_2302.htm#SEC2378
arrLocalize	sing_2282.htm#SEC2358
arrOrlikSolomon	sing_2293.htm#SEC2369
arrPoincare	sing_2305.htm#SEC2381
arrPrintMatrix	sing_2269.htm#SEC2345
arrRandom	sing_2290.htm#SEC2366
arrRandomCentral	sing_2291.htm#SEC2367
arrRestrict	sing_2283.htm#SEC2359
arrSet	sing_2265.htm#SEC2341
arrSwapVar	sing_2272.htm#SEC2348
arrTypeB	sing_2288.htm#SEC2364
arrTypeD	sing_2289.htm#SEC2365
arr_lib	sing_2264.htm#SEC2340
arrange	sing_552.htm#SEC604
arrangement	sing_2265.htm#IDX857
arrangement 	sing_2266.htm#IDX862
arrangement  	sing_2297.htm#IDX924
arrangement   	sing_2298.htm#IDX927
ask	sing_1958.htm#SEC2034
assPrimes	sing_1215.htm#SEC1291
assign	sing_2265.htm#IDX859
assignment,custom	sing_188.htm#SEC228
associated tangent	sing_1031.htm#IDX514
associated tangent 	sing_1032.htm#IDX518
assprimeszerodim.lib	sing_1213.htm#SEC1289
assprimeszerodim_lib	sing_1213.htm#SEC1289
atkins.lib	sing_1959.htm#SEC2035
atkins_lib	sing_1959.htm#SEC2035
attrib	sing_210.htm#SEC250
autGenWeights	sing_2349.htm#SEC2425
autGradAlg	sing_2348.htm#SEC2424
autKS	sing_2347.htm#SEC2423
autX	sing_2352.htm#SEC2428
autXhat	sing_2351.htm#SEC2427
autgradalg.lib	sing_2346.htm#SEC2422
autgradalg_lib	sing_2346.htm#SEC2422
automorphism group	sing_2346.htm#IDX979
automorphisms	sing_2346.htm#IDX976
autonom	sing_1922.htm#SEC1998
autonomDim	sing_1923.htm#SEC1999
awalk1	sing_1246.htm#SEC1322
awalk2	sing_1247.htm#SEC1323
b-function	sing_500.htm#IDX315
bFactor	sing_582.htm#SEC634
babyGiant	sing_1988.htm#SEC2064
backward	sing_2537.htm#SEC2613
bareiss	sing_211.htm#SEC251
base2str	sing_992.htm#SEC1068
basering	sing_28.htm#IDX76
basering 	sing_88.htm#SEC128
basicinvariants	sing_1579.htm#SEC1655
baumslagGroup	sing_817.htm#SEC869
baumslagSolitar	sing_816.htm#SEC868
belongSemigroup	sing_1218.htm#SEC1294
bernstein	sing_1627.htm#SEC1703
bernsteinBM	sing_540.htm#SEC592
bernsteinLift	sing_541.htm#SEC593
bertini	sing_1442.htm#IDX623
bertini 	sing_1447.htm#IDX630
bertini2Singular	sing_1451.htm#SEC1527
betti	sing_212.htm#SEC252
betti (plural)	sing_457.htm#SEC497
bfct	sing_501.htm#SEC553
bfctAnn	sing_503.htm#SEC555
bfctBound	sing_732.htm#SEC784
bfctIdeal	sing_505.htm#SEC557
bfctOneGB	sing_504.htm#SEC556
bfctSyz	sing_502.htm#SEC554
bfctVarAnn	sing_601.htm#SEC653
bfctVarIn	sing_600.htm#SEC652
bfun.lib	sing_500.htm#SEC552
bfun_lib	sing_500.htm#SEC552
bigger	sing_2477.htm#IDX1048
bigint	sing_78.htm#SEC118
bigint declarations	sing_79.htm#SEC119
bigint expressions	sing_80.htm#SEC120
bigint operations	sing_81.htm#SEC121
bigint related functions	sing_82.htm#SEC122
bigintToBinary	sing_2598.htm#SEC2674
bigintmat	sing_83.htm#SEC123
bigintmat declarations	sing_84.htm#SEC124
bigintmat expressions	sing_85.htm#SEC125
bigintmat operations	sing_87.htm#SEC127
bigintmat type cast	sing_86.htm#SEC126
bimodules	sing_493.htm#IDX303
bimodules.lib	sing_493.htm#SEC545
bimodules_lib	sing_493.htm#SEC545
binaryToBigint	sing_2599.htm#SEC2675
binary_add	sing_2011.htm#SEC2087
binomial	sing_997.htm#SEC1073
binomials2intmat	sing_1374.htm#SEC1450
birational map, image, inverse.	sing_1468.htm#IDX655
bistd	sing_494.htm#SEC546
bisyzygies	sing_493.htm#IDX304
bitrinity	sing_495.htm#SEC547
blackbox	sing_192.htm#SEC232
blackbox 	sing_200.htm#SEC240
block	sing_40.htm#SEC70
block 	sing_379.htm#SEC419
blowUp	sing_1519.htm#SEC1595
blowUp2	sing_1520.htm#SEC1596
blowUpBO	sing_1526.htm#SEC1602
blowup0	sing_1223.htm#SEC1299
boolean	sing_2286.htm#IDX901
boolean expressions	sing_100.htm#SEC140
boolean operations	sing_101.htm#SEC141
boolean_constant	sing_2320.htm#SEC2396
boolean_ideal	sing_2324.htm#SEC2400
boolean_poly	sing_2321.htm#SEC2397
boolean_poly_ring	sing_2319.htm#SEC2395
boolean_set	sing_2325.htm#SEC2401
boolean_std	sing_2318.htm#SEC2394
border basis	sing_2804.htm#IDX1179
borderBasis	sing_2805.htm#SEC2881
boundBuFou	sing_2088.htm#SEC2164
boundDes	sing_2090.htm#SEC2166
boundaryLatticePoints	sing_2177.htm#SEC2253
boundposDes	sing_2089.htm#SEC2165
bounds	sing_2792.htm#SEC2868
boxSet	sing_2794.htm#SEC2870
bracket	sing_359.htm#IDX197
bracket 	sing_416.htm#SEC456
bracket  	sing_458.htm#SEC498
braid	sing_2287.htm#IDX903
branchTo	sing_160.htm#SEC200
break	sing_381.htm#SEC421
break point	sing_395.htm#SEC435
breakpoint	sing_382.htm#SEC422
brillnoether.lib	sing_2353.htm#SEC2429
brillnoether_lib	sing_2353.htm#SEC2429
brnoeth.lib	sing_1884.htm#SEC1960
brnoeth_lib	sing_1884.htm#SEC1960
browser, command line option	sing_19.htm#IDX44
browser, setting the	sing_359.htm#IDX193
browsers	sing_16.htm#IDX21
browsers, setting the	sing_359.htm#IDX192
bubblesort	sing_1961.htm#SEC2037
busadj	sing_1177.htm#SEC1253
bvar	sing_2332.htm#SEC2408
c, module ordering	sing_953.htm#IDX455
cProj	sing_2395.htm#SEC2471
calculateI	sing_1493.htm#SEC1569
calculate_max_sum	sing_2030.htm#SEC2106
calculate_ordering	sing_2008.htm#SEC2084
cancelunit, option	sing_316.htm#IDX171
canonMap	sing_1251.htm#SEC1327
canoncial form	sing_1019.htm#IDX476
canoncial form 	sing_1020.htm#IDX478
canoncial form  	sing_1021.htm#IDX480
canonical	sing_1015.htm#IDX464
canonical form	sing_1024.htm#IDX494
canonical form 	sing_1025.htm#IDX496
canonical,	sing_1023.htm#IDX490
canonicalizeCone	sing_2107.htm#SEC2183
canonize	sing_1930.htm#SEC2006
cantoradd	sing_2044.htm#SEC2120
cantormult	sing_2047.htm#SEC2123
cantorred	sing_2045.htm#SEC2121
cardGroup	sing_1220.htm#SEC1296
case	sing_414.htm#SEC454
catNets	sing_2755.htm#SEC2831
cccMatrixToPositiveIntvec	sing_2859.htm#SEC2935
cdd	sing_1.htm#IDX10
cddlib	sing_1.htm#IDX11
center	sing_514.htm#IDX322
center 	sing_520.htm#SEC572
center  	sing_2274.htm#IDX883
center   	sing_2275.htm#IDX884
center    	sing_2276.htm#IDX886
center     	sing_2277.htm#IDX888
centerRed	sing_519.htm#SEC571
centerVS	sing_518.htm#SEC570
central	sing_2268.htm#IDX869
central 	sing_2275.htm#IDX885
central  	sing_2277.htm#IDX887
central   	sing_2291.htm#IDX912
central.lib	sing_514.htm#SEC566
central1st	sing_2538.htm#SEC2614
central2nd	sing_2539.htm#SEC2615
central_lib	sing_514.htm#SEC566
centralize	sing_514.htm#IDX325
centralizeSet	sing_515.htm#SEC567
centralizer	sing_514.htm#IDX323
centralizer 	sing_521.htm#SEC573
centralizerRed	sing_517.htm#SEC569
centralizerVS	sing_516.htm#SEC568
cf_class	sing_210.htm#IDX132
cgs	sing_991.htm#SEC1067
cgsdr	sing_1016.htm#SEC1092
chAll	sing_2365.htm#SEC2441
chAllInv	sing_2366.htm#SEC2442
chDual	sing_2371.htm#SEC2447
chHE	sing_2367.htm#SEC2443
chHom	sing_2380.htm#SEC2456
chNum	sing_2361.htm#SEC2437
chNumbers	sing_2362.htm#SEC2438
chNumbersProj	sing_2399.htm#SEC2475
chProd	sing_2373.htm#SEC2449
chProdE	sing_2374.htm#SEC2450
chProdL	sing_2375.htm#SEC2451
chProdLP	sing_2376.htm#SEC2452
chProdM	sing_2377.htm#SEC2453
chProdMP	sing_2378.htm#SEC2454
chProj	sing_2396.htm#SEC2472
chSum	sing_2369.htm#SEC2445
chSymm	sing_2383.htm#SEC2459
chSymm2L	sing_2384.htm#SEC2460
chSymm2LP	sing_2385.htm#SEC2461
chWedge	sing_2386.htm#SEC2462
chWedge2L	sing_2387.htm#SEC2463
chWedge2LP	sing_2388.htm#SEC2464
chaincrit	sing_2058.htm#SEC2134
chambers	sing_2306.htm#IDX940
chambers 	sing_2307.htm#IDX941
changeDenominator	sing_1346.htm#SEC1422
changechar	sing_1095.htm#SEC1171
changeord	sing_1096.htm#SEC1172
changeordTo	sing_1119.htm#SEC1195
changes	sing_2865.htm#SEC2941
changevar	sing_1097.htm#SEC1173
char	sing_213.htm#SEC253
charInfo	sing_575.htm#SEC627
charVariety	sing_574.htm#SEC626
char_series	sing_214.htm#SEC254
characteristic exponents	sing_1567.htm#IDX679
characteristic exponents 	sing_1568.htm#IDX684
characteristic exponents  	sing_1569.htm#IDX687
characteristic exponents   	sing_1570.htm#IDX691
characteristic exponents    	sing_1654.htm#IDX797
characteristic polynomial	sing_2304.htm#IDX938
characteristic variety	sing_558.htm#IDX350
characteristic variety 	sing_723.htm#IDX391
charexp2conductor	sing_1570.htm#SEC1646
charexp2generators	sing_1568.htm#SEC1644
charexp2inter	sing_1569.htm#SEC1645
charexp2multseq	sing_1567.htm#SEC1643
charexp2poly	sing_1571.htm#SEC1647
charpoly	sing_1178.htm#SEC1254
charstr	sing_215.htm#SEC255
checkFactor	sing_551.htm#SEC603
checkRoot	sing_546.htm#SEC598
chern	sing_2360.htm#SEC2436
chern.lib	sing_2355.htm#SEC2431
chernCharPoly	sing_2402.htm#SEC2478
chernPoly	sing_2401.htm#SEC2477
chern_lib	sing_2355.htm#SEC2431
chineseRem	sing_1979.htm#SEC2055
chinrem	sing_216.htm#SEC256
chinrempoly	sing_2781.htm#SEC2857
chinrestp	sing_2038.htm#SEC2114
cimonom.lib	sing_2417.htm#SEC2493
cimonom_lib	sing_2417.htm#SEC2493
cisimplicial.lib	sing_1216.htm#SEC1292
cisimplicial_lib	sing_1216.htm#SEC1292
classification	sing_2337.htm#IDX974
classification 	sing_2421.htm#IDX982
classify	sing_1580.htm#SEC1656
classify.lib	sing_1578.htm#SEC1654
classify2.lib	sing_2421.htm#SEC2497
classify2_lib	sing_2421.htm#SEC2497
classifyCeq	sing_1597.htm#SEC1673
classifyMapGerms.lib	sing_2433.htm#SEC2509
classifyMapGerms_lib	sing_2433.htm#SEC2509
classifySimpleMaps	sing_2439.htm#SEC2515
classifySimpleMaps1	sing_2440.htm#SEC2516
classifyUnimodalMaps	sing_2441.htm#SEC2517
classify_aeq.lib	sing_2424.htm#SEC2500
classify_aeq_lib	sing_2424.htm#SEC2500
classify_lib	sing_1578.htm#SEC1654
classifyceq.lib	sing_1596.htm#IDX694
classifyceq_lib	sing_1596.htm#IDX695
classifyci.lib	sing_1598.htm#IDX696
classifyci_lib	sing_1598.htm#IDX697
classifyicis	sing_1599.htm#SEC1675
classpoly	sing_2400.htm#SEC2476
cleanTmp	sing_2255.htm#SEC2331
cleanunit	sing_1491.htm#SEC1567
cleardenom	sing_217.htm#SEC257
close	sing_218.htm#SEC258
closed_points	sing_1894.htm#SEC1970
closetex	sing_1861.htm#SEC1937
closureFrac	sing_1339.htm#SEC1415
coDim	sing_2435.htm#SEC2511
coDimMap	sing_2434.htm#SEC2510
coHom	sing_716.htm#SEC768
codim	sing_1692.htm#SEC1768
codimension	sing_2108.htm#SEC2184
coding theory	sing_945.htm#SEC997
coef	sing_219.htm#SEC259
coefficient	sing_2267.htm#IDX865
coefficient 	sing_2268.htm#IDX868
coefficient  	sing_2269.htm#IDX872
coefficient field	sing_144.htm#SEC184
coefficient rings, ring of integers, zero divisors, p-adic numbers	sing_32.htm#SEC45
coefficients	sing_2464.htm#IDX1023
coefficients, long	sing_902.htm#SEC954
coeffmod	sing_1956.htm#SEC2032
coeffs	sing_220.htm#SEC260
coker	sing_2667.htm#SEC2743
colength of derivations	sing_2450.htm#IDX1002
collectDiv	sing_1536.htm#SEC1612
colrank	sing_1928.htm#SEC2004
colred	sing_1161.htm#SEC1237
combinat.lib	sing_2442.htm#SEC2518
combinat_lib	sing_2442.htm#SEC2518
commRing	sing_747.htm#SEC799
comma	sing_415.htm#SEC455
command,custom	sing_187.htm#SEC227
command-line option, setting value of	sing_359.htm#IDX281
command-line option, value of	sing_359.htm#IDX279
command-line options, print all values of	sing_359.htm#IDX278
command-line options, short help	sing_19.htm#IDX38
commands (letterplace)	sing_793.htm#SEC845
commands (plural)	sing_456.htm#IDX302
comment	sing_36.htm#IDX108
compare	sing_2475.htm#IDX1043
compare 	sing_2476.htm#IDX1045
compare  	sing_2477.htm#IDX1049
compare   	sing_2478.htm#IDX1052
compare    	sing_2496.htm#IDX1090
compare     	sing_2497.htm#IDX1092
compareMatrix	sing_2675.htm#SEC2751
compareModules	sing_2670.htm#SEC2746
compareTasks	sing_1126.htm#SEC1202
compareVectors	sing_2695.htm#SEC2771
completeReduction	sing_1770.htm#SEC1846
complex	sing_28.htm#IDX75
complexClassify	sing_2422.htm#SEC2498
complexSingType	sing_1594.htm#SEC1670
complexType	sing_2423.htm#SEC2499
compregb.lib	sing_990.htm#SEC1066
compregb_lib	sing_990.htm#SEC1066
comprehensive Groebner system	sing_990.htm#IDX461
compress	sing_1139.htm#SEC1215
computeAfaceOrbits	sing_2585.htm#SEC2661
computeConstant	sing_1236.htm#SEC1312
computeGromovWitten	sing_1239.htm#SEC1315
computeN	sing_1540.htm#SEC1616
computeV	sing_1539.htm#SEC1615
computemcm	sing_1498.htm#SEC1574
concat	sing_1140.htm#SEC1216
conductor	sing_1347.htm#IDX611
conductor 	sing_1570.htm#IDX690
conductor  	sing_2448.htm#IDX996
conductor, degree	sing_1654.htm#IDX800
cone	sing_189.htm#SEC229
cone 	sing_2280.htm#IDX892
cone  	sing_2281.htm#IDX894
coneLink	sing_2111.htm#SEC2187
coneViaInequalities	sing_2110.htm#SEC2186
coneViaPoints	sing_2109.htm#SEC2185
conic, parametrization, rational point.	sing_1475.htm#IDX660
conicWithTangents	sing_2231.htm#SEC2307
constructH	sing_1499.htm#SEC1575
constructblwup	sing_1500.htm#SEC1576
constructible set	sing_1024.htm#IDX492
constructible sets	sing_1025.htm#IDX495
constructlastblwup	sing_1501.htm#SEC1577
constructor	sing_2297.htm#IDX925
constructor 	sing_2298.htm#IDX928
constructor  	sing_2463.htm#IDX1019
constructor   	sing_2486.htm#IDX1068
constructor    	sing_2487.htm#IDX1070
constructor     	sing_2488.htm#IDX1073
constructor      	sing_2489.htm#IDX1076
contact matrix	sing_1569.htm#IDX686
containedQ	sing_1849.htm#SEC1925
containment	sing_2482.htm#IDX1059
containsAsFace	sing_2112.htm#SEC2188
containsInCollection	sing_2145.htm#SEC2221
containsInSupport	sing_2113.htm#SEC2189
containsPositiveVector	sing_2114.htm#SEC2190
containsRelatively	sing_2115.htm#SEC2191
content	sing_1069.htm#SEC1145
contentSB, option	sing_316.htm#IDX172
continue	sing_383.htm#SEC423
continue 	sing_417.htm#SEC457
contraHom	sing_717.htm#SEC769
contract	sing_221.htm#SEC261
contraction	sing_2499.htm#IDX1098
contraction 	sing_2500.htm#IDX1100
contraction  	sing_2501.htm#IDX1102
contribution bundle, graph, multiple cover, rational curve,	sing_2840.htm#IDX1208
contributionBundle	sing_2840.htm#SEC2916
contributors	sing_359.htm#IDX200
control	sing_1920.htm#SEC1996
control.lib	sing_1919.htm#SEC1995
controlDim	sing_1921.htm#SEC1997
controlExample	sing_1933.htm#SEC2009
control_Matrix	sing_1622.htm#SEC1698
control_lib	sing_1919.htm#SEC1995
convertLeftToRightFraction	sing_776.htm#SEC828
convertRightToLeftFraction	sing_775.htm#SEC827
convertdata	sing_1496.htm#SEC1572
convexHull	sing_2116.htm#SEC2192
convexIntersection	sing_2117.htm#SEC2193
convloc	sing_555.htm#SEC607
coordinate change	sing_2277.htm#IDX889
coordinate change 	sing_2278.htm#IDX890
coordinate change  	sing_2279.htm#IDX891
coordinates	sing_2076.htm#IDX842
coords	sing_2076.htm#SEC2152
copyTask	sing_1125.htm#SEC1201
copyright	sing_1.htm#IDX1
corank	sing_1581.htm#SEC1657
cornerMonomials	sing_1377.htm#SEC1453
countPoints	sing_2001.htm#SEC2077
coverings	sing_1238.htm#IDX570
coverings 	sing_1239.htm#IDX574
cpu	sing_359.htm#IDX202
cpu 	sing_359.htm#IDX275
createBO	sing_1527.htm#SEC1603
createGradedRingHomomorphism	sing_2714.htm#SEC2790
createGroup	sing_2707.htm#SEC2783
createQuotientGroup	sing_2708.htm#SEC2784
createTask	sing_1123.htm#SEC1199
createTorsionFreeGroup	sing_2709.htm#SEC2785
createlist	sing_1509.htm#SEC1585
cring	sing_73.htm#SEC113
cring declarations	sing_74.htm#SEC114
cring expressions	sing_75.htm#SEC115
cring operations	sing_76.htm#SEC116
cring related functions	sing_77.htm#SEC117
crossprod	sing_222.htm#SEC262
crypto.lib	sing_1974.htm#SEC2050
crypto_lib	sing_1974.htm#SEC2050
crystallographicGroupC2MM	sing_825.htm#SEC877
crystallographicGroupCM	sing_824.htm#SEC876
crystallographicGroupP1	sing_818.htm#SEC870
crystallographicGroupP2	sing_822.htm#SEC874
crystallographicGroupP2GG	sing_823.htm#SEC875
crystallographicGroupP2MM	sing_821.htm#SEC873
crystallographicGroupP3	sing_829.htm#SEC881
crystallographicGroupP31M	sing_830.htm#SEC882
crystallographicGroupP3M1	sing_831.htm#SEC883
crystallographicGroupP4	sing_826.htm#SEC878
crystallographicGroupP4GM	sing_828.htm#SEC880
crystallographicGroupP4MM	sing_827.htm#SEC879
crystallographicGroupP6	sing_832.htm#SEC884
crystallographicGroupP6MM	sing_833.htm#SEC885
crystallographicGroupPG	sing_820.htm#SEC872
crystallographicGroupPM	sing_819.htm#SEC871
cup	sing_1252.htm#SEC1328
cupproduct	sing_1253.htm#SEC1329
curve singularities	sing_1560.htm#IDX673
curve singularities 	sing_1648.htm#IDX795
curve singularity	sing_2446.htm#IDX991
curveColengthDerivations	sing_2450.htm#SEC2526
curveConductorMult	sing_2448.htm#SEC2524
curveDeligneNumber	sing_2449.htm#SEC2525
curveDeltaInv	sing_2447.htm#SEC2523
curveInv.lib	sing_2446.htm#SEC2522
curveInv_lib	sing_2446.htm#SEC2522
curvepar.lib	sing_1601.htm#SEC1677
curvepar_lib	sing_1601.htm#SEC1677
custom assignment	sing_188.htm#SEC228
custom command	sing_187.htm#SEC227
custom type	sing_184.htm#SEC224
customstd.lib	sing_2309.htm#SEC2385
customstd_lib	sing_2309.htm#SEC2385
cycleLength	sing_2168.htm#SEC2244
cyclePoints	sing_2172.htm#SEC2248
cyclic	sing_1056.htm#SEC1132
cyclic code	sing_977.htm#SEC1036
cyclotomic	sing_1735.htm#SEC1811
datetime	sing_223.htm#SEC263
dbprint	sing_224.htm#SEC264
deRham.lib	sing_2451.htm#SEC2527
deRhamCohom	sing_572.htm#SEC624
deRhamCohomIdeal	sing_573.htm#SEC625
deRhamCohomology	sing_2452.htm#SEC2528
deRham_lib	sing_2451.htm#SEC2527
debugLib, option	sing_316.htm#IDX176
debug_log	sing_1591.htm#SEC1667
debugger	sing_66.htm#SEC103
debugging library code	sing_66.htm#SEC103
dec1var	sing_1307.htm#SEC1383
decimal	sing_1975.htm#SEC2051
decode	sing_1911.htm#SEC1987
decodeCode	sing_1913.htm#SEC1989
decodeRandom	sing_1912.htm#SEC1988
decodeRandomFL	sing_1916.htm#SEC1992
decodeSV	sing_1893.htm#SEC1969
decodegb.lib	sing_1898.htm#SEC1974
decodegb_lib	sing_1898.htm#SEC1974
decoding, decoding problem	sing_977.htm#SEC1037
decoef	sing_1941.htm#SEC2017
decomposition	sing_2464.htm#IDX1021
decomposition of modules	sing_1300.htm#IDX599
decomposition, numerical	sing_1447.htm#IDX628
decone	sing_2280.htm#IDX893
decone 	sing_2281.htm#IDX895
def	sing_88.htm#SEC128
def declarations	sing_89.htm#SEC129
defRes, option	sing_316.htm#IDX177
default argument	sing_44.htm#SEC81
defineHomogeneous	sing_2747.htm#SEC2823
defined	sing_225.htm#SEC265
defl	sing_1458.htm#SEC1534
deform	sing_1693.htm#SEC1769
deform.lib	sing_1612.htm#SEC1688
deform_lib	sing_1612.htm#SEC1688
defring	sing_1098.htm#SEC1174
defringp	sing_1100.htm#SEC1176
defrings	sing_1099.htm#SEC1175
deg	sing_226.htm#SEC266
degBound	sing_397.htm#SEC437
degree	sing_227.htm#SEC267
degree 	sing_420.htm#IDX292
degree  	sing_2479.htm#IDX1054
degree   	sing_2481.htm#IDX1058
degree lexicographical ordering	sing_951.htm#IDX435
degree of a polynomial	sing_420.htm#IDX296
degree reverse lexicographical ordering	sing_951.htm#IDX433
degreeDivisor	sing_2510.htm#SEC2586
degreeFormalDivisor	sing_2518.htm#SEC2594
degreepart	sing_1801.htm#SEC1877
delete	sing_126.htm#SEC166
delete 	sing_228.htm#SEC268
delete  	sing_277.htm#SEC317
deleteGenerator	sing_587.htm#SEC639
deleteSublist	sing_998.htm#SEC1074
deligne number	sing_2446.htm#IDX993
deligne number 	sing_2449.htm#IDX998
deligne number  	sing_2450.htm#IDX1000
delta	sing_1660.htm#SEC1736
delta invariant	sing_1341.htm#IDX609
delta invariant 	sing_1660.htm#IDX805
delta invariant  	sing_2447.htm#IDX994
delta invariant.	sing_1333.htm#IDX602
delta invariant. 	sing_1334.htm#IDX605
delta invariant.  	sing_1335.htm#IDX608
deltaLoc	sing_1341.htm#SEC1417
denom_list	sing_359.htm#IDX204
denominator	sing_229.htm#SEC269
depth	sing_1254.htm#SEC1330
depthIdeal	sing_1317.htm#SEC1393
derivate	sing_1767.htm#SEC1843
derivation	sing_2294.htm#IDX916
derivation 	sing_2484.htm#IDX1063
derivation  	sing_2485.htm#IDX1067
derivation   	sing_2486.htm#IDX1069
derivation    	sing_2487.htm#IDX1071
derivation     	sing_2488.htm#IDX1074
derivation      	sing_2489.htm#IDX1077
derivation       	sing_2498.htm#IDX1096
derivationAdd	sing_2492.htm#SEC2568
derivationCheckList	sing_2487.htm#SEC2563
derivationConstructor	sing_2489.htm#SEC2565
derivationContraction	sing_2500.htm#SEC2576
derivationContractionGen	sing_2499.htm#SEC2575
derivationEqu	sing_2496.htm#SEC2572
derivationEval	sing_2498.htm#SEC2574
derivationFromList	sing_2486.htm#SEC2562
derivationFromPoly	sing_2488.htm#SEC2564
derivationLie	sing_2501.htm#SEC2577
derivationMul	sing_2495.htm#SEC2571
derivationNeg	sing_2494.htm#SEC2570
derivationNeq	sing_2497.htm#SEC2573
derivationPrint	sing_2491.htm#SEC2567
derivationSub	sing_2493.htm#SEC2569
derivationToString	sing_2490.htm#SEC2566
desingularization	sing_2604.htm#IDX1133
desingularization 	sing_2605.htm#SEC2681
det	sing_230.htm#SEC270
det_B	sing_1180.htm#SEC1256
detadj	sing_1676.htm#SEC1752
determinacy	sing_2789.htm#SEC2865
determinecenter	sing_1481.htm#SEC1557
detropicalise	sing_2249.htm#SEC2325
develop	sing_1650.htm#SEC1726
diag	sing_1141.htm#SEC1217
diagInvariants	sing_1356.htm#SEC1432
diag_test	sing_1176.htm#SEC1252
diff	sing_231.htm#SEC271
diffAlgebra	sing_2455.htm#SEC2531
diffAlgebraChangeOrd	sing_2461.htm#SEC2537
diffAlgebraCheck	sing_2457.htm#SEC2533
diffAlgebraGens	sing_2459.htm#SEC2535
diffAlgebraListGen	sing_2462.htm#SEC2538
diffAlgebraStructure	sing_2456.htm#SEC2532
diffAlgebraSwitch	sing_2458.htm#SEC2534
diffAlgebraUnivDerIdeal	sing_2460.htm#SEC2536
diffRat	sing_746.htm#SEC798
difference	sing_2471.htm#IDX1037
difference 	sing_2493.htm#IDX1085
difference  	sing_2494.htm#IDX1087
differential	sing_2463.htm#IDX1020
differential 	sing_2485.htm#IDX1065
differential algebra	sing_2454.htm#IDX1005
differential algebra 	sing_2455.htm#IDX1006
differential algebra  	sing_2456.htm#IDX1009
differential algebra   	sing_2457.htm#IDX1010
differential algebra    	sing_2458.htm#IDX1011
differential algebra     	sing_2459.htm#IDX1012
differential algebra      	sing_2460.htm#IDX1014
differential forms	sing_2454.htm#IDX1003
differential forms 	sing_2455.htm#IDX1007
differentials	sing_2454.htm#IDX1004
differentials 	sing_2455.htm#IDX1008
difform.lib	sing_2454.htm#SEC2530
difformAdd	sing_2470.htm#SEC2546
difformCoef	sing_2464.htm#SEC2540
difformDeg	sing_2479.htm#SEC2555
difformDiff	sing_2485.htm#SEC2561
difformDiv	sing_2474.htm#SEC2550
difformEqu	sing_2475.htm#SEC2551
difformFromPoly	sing_2463.htm#SEC2539
difformGenToString	sing_2465.htm#SEC2541
difformHomogDecomp	sing_2466.htm#SEC2542
difformIsBigger	sing_2477.htm#SEC2553
difformIsGen	sing_2469.htm#SEC2545
difformIsHomog	sing_2480.htm#SEC2556
difformIsHomogDeg	sing_2481.htm#SEC2557
difformIsSmaller	sing_2478.htm#SEC2554
difformListCont	sing_2482.htm#SEC2558
difformListSort	sing_2483.htm#SEC2559
difformMul	sing_2473.htm#SEC2549
difformNeg	sing_2472.htm#SEC2548
difformNeq	sing_2476.htm#SEC2552
difformPrint	sing_2468.htm#SEC2544
difformSub	sing_2471.htm#SEC2547
difformToString	sing_2467.htm#SEC2543
difformUnivDer	sing_2484.htm#SEC2560
difform_lib	sing_2454.htm#SEC2530
difpoly2tex	sing_1942.htm#SEC2018
dim	sing_232.htm#SEC272
dim (plural)	sing_459.htm#SEC499
dimGradedPart	sing_1549.htm#SEC1625
dimH	sing_1548.htm#SEC1624
dimMon	sing_1297.htm#SEC1373
dimStack	sing_2838.htm#SEC2914
dim_slocus	sing_1694.htm#SEC1770
dimension	sing_2118.htm#SEC2194
dimension, moduli space of stable maps, rational curves	sing_2838.htm#IDX1206
dimensionOfLocalization	sing_2568.htm#SEC2644
direct_boolean_poly	sing_2322.htm#SEC2398
direct_from_boolean_poly	sing_2328.htm#SEC2404
disc	sing_1962.htm#SEC2038
discr	sing_1716.htm#SEC1792
discrepancy	sing_1534.htm#SEC1610
discrim	sing_1033.htm#SEC1109
discussion of parametric ideal	sing_1015.htm#IDX465
disjoint	sing_1016.htm#IDX467
disp_zdd	sing_2335.htm#SEC2411
displayCohom	sing_1550.htm#SEC1626
displayHNE	sing_1653.htm#SEC1729
displayInvariants	sing_1655.htm#SEC1731
displayMultsequence	sing_1657.htm#SEC1733
displayPuiseuxExpansion	sing_2224.htm#SEC2300
displayTropicalLifting	sing_2222.htm#SEC2298
distributed computing	sing_1049.htm#IDX532
distributed computing 	sing_1089.htm#IDX534
distributed computing  	sing_1122.htm#IDX544
div	sing_81.htm#SEC121
div 	sing_98.htm#SEC138
div  	sing_155.htm#SEC195
div   	sing_420.htm#IDX289
divideUnits	sing_1938.htm#SEC2014
dividelist	sing_1508.htm#SEC1584
division	sing_233.htm#SEC273
division 	sing_1017.htm#IDX470
division  	sing_1018.htm#IDX472
division   	sing_2474.htm#IDX1042
division (plural)	sing_460.htm#SEC500
divisor	sing_2041.htm#SEC2117
divisorplus	sing_2504.htm#SEC2580
divisors	sing_2503.htm#IDX1103
divisors 	sing_2504.htm#IDX1104
divisors  	sing_2505.htm#IDX1105
divisors   	sing_2506.htm#IDX1106
divisors    	sing_2507.htm#IDX1107
divisors     	sing_2508.htm#IDX1108
divisors      	sing_2509.htm#IDX1109
divisors       	sing_2510.htm#IDX1110
divisors        	sing_2511.htm#IDX1111
divisors         	sing_2512.htm#IDX1112
divisors          	sing_2513.htm#IDX1113
divisors           	sing_2514.htm#IDX1114
divisors            	sing_2515.htm#IDX1115
divisors             	sing_2516.htm#IDX1116
divisors              	sing_2517.htm#IDX1117
divisors               	sing_2518.htm#IDX1118
divisors, polyhedra	sing_2519.htm#IDX1119
divisors, polyhedra 	sing_2520.htm#IDX1120
divisors, polyhedra  	sing_2521.htm#IDX1121
divisors.lib	sing_2502.htm#SEC2578
divisors_lib	sing_2502.htm#SEC2578
dmod.lib	sing_535.htm#SEC587
dmodAction	sing_741.htm#SEC793
dmodActionRat	sing_742.htm#SEC794
dmodGeneralAssumptionCheck	sing_734.htm#SEC786
dmod_lib	sing_535.htm#SEC587
dmodapp.lib	sing_558.htm#SEC610
dmodapp_lib	sing_558.htm#SEC610
dmodideal.lib	sing_591.htm#SEC643
dmodideal_lib	sing_591.htm#SEC643
dmodloc.lib	sing_723.htm#IDX384
dmodloc_lib	sing_723.htm#IDX385
dmodoublext	sing_718.htm#SEC770
dmodvar.lib	sing_599.htm#SEC651
dmodvar_lib	sing_599.htm#SEC651
double	sing_2046.htm#SEC2122
doubleExt	sing_709.htm#SEC761
downloading	sing_2873.htm#SEC2963
dp, global ordering	sing_951.htm#IDX434
drawNewtonSubdivision	sing_2227.htm#SEC2303
drawTropicalCurve	sing_2226.htm#SEC2302
ds, local ordering	sing_952.htm#IDX444
dsum	sing_1142.htm#SEC1218
dualCone	sing_2119.htm#SEC2195
dualConic	sing_2251.htm#SEC2327
dualPart	sing_2408.htm#SEC2484
dualPartition	sing_2851.htm#SEC2927
dualPolytope	sing_2158.htm#SEC2234
dualSheaf	sing_2829.htm#SEC2905
dual_code	sing_1895.htm#SEC1971
dump	sing_234.htm#SEC274
dyckGroup1	sing_834.htm#SEC886
dyckGroup2	sing_835.htm#SEC887
dyckGroup3	sing_836.htm#SEC888
dynamic geometry	sing_1026.htm#IDX499
dynamic geometry 	sing_1027.htm#IDX502
ecart	sing_2049.htm#SEC2125
echo	sing_398.htm#SEC438
eexgcdN	sing_1976.htm#SEC2052
effective	sing_2512.htm#SEC2588
egcdMain	sing_1842.htm#SEC1918
ehrhartPolynomialCoeff	sing_2178.htm#SEC2254
ehrhartRing	sing_1352.htm#SEC1428
eigenvals	sing_1188.htm#SEC1264
eigenvalue	sing_329.htm#SEC369
eigenvalue 	sing_1188.htm#IDX550
eigenvalues	sing_1435.htm#SEC1511
elemSymmId	sing_1057.htm#SEC1133
elim	sing_1225.htm#SEC1301
elim.lib	sing_1222.htm#SEC1298
elim1	sing_1226.htm#SEC1302
elim2	sing_1227.htm#SEC1303
elimRing	sing_1224.htm#SEC1300
elimWeight	sing_666.htm#SEC718
elim_lib	sing_1222.htm#SEC1298
eliminate	sing_235.htm#SEC275
eliminate (plural)	sing_461.htm#SEC501
eliminateNC	sing_661.htm#SEC713
elimination	sing_660.htm#IDX369
elimlinearpart	sing_1802.htm#SEC1878
elimpart	sing_1803.htm#SEC1879
elimpartanyr	sing_1804.htm#SEC1880
elimrep	sing_1489.htm#SEC1565
elliptic curve	sing_1235.htm#IDX566
elliptic curves	sing_1232.htm#IDX560
elliptic curves 	sing_1238.htm#IDX569
elliptic curves  	sing_1239.htm#IDX573
ellipticAdd	sing_1997.htm#SEC2073
ellipticAllPoints	sing_2002.htm#SEC2078
ellipticMult	sing_1998.htm#SEC2074
ellipticNF	sing_2175.htm#SEC2251
ellipticNFDB	sing_2176.htm#SEC2252
ellipticRandomCurve	sing_1999.htm#SEC2075
ellipticRandomPoint	sing_2000.htm#SEC2076
ellipticcovers.lib	sing_1232.htm#IDX554
ellipticcovers_lib	sing_1232.htm#IDX555
else	sing_388.htm#SEC428
embedMat	sing_692.htm#SEC744
emptyFan	sing_2146.htm#SEC2222
encode	sing_1903.htm#SEC1979
endomorphism filtration	sing_1634.htm#IDX771
endvfilt	sing_1634.htm#SEC1710
engine	sing_588.htm#SEC640
ensureLeftNcfrac	sing_756.htm#SEC808
ensureRightNcfrac	sing_757.htm#SEC809
envelop	sing_1028.htm#SEC1104
envelop 	sing_1028.htm#IDX505
envelop  	sing_1029.htm#IDX508
envelop   	sing_1031.htm#IDX513
envelop    	sing_1032.htm#IDX517
envelope	sing_462.htm#SEC502
enveloping algebra	sing_359.htm#IDX208
enveloping algebra 	sing_493.htm#IDX306
environment variable, DISPLAY	sing_16.htm#IDX29
equal	sing_2475.htm#IDX1044
equal 	sing_2476.htm#IDX1046
equal  	sing_2496.htm#IDX1091
equal   	sing_2497.htm#IDX1093
equalJinI	sing_1577.htm#SEC1653
equalMultiDeg	sing_2740.htm#SEC2816
equations	sing_2120.htm#SEC2196
equiRadical	sing_1393.htm#SEC1469
equidim	sing_1395.htm#SEC1471
equidimMax	sing_1396.htm#SEC1472
equidimMaxEHV	sing_1397.htm#SEC1473
equidimZ	sing_1408.htm#SEC1484
equising.lib	sing_1617.htm#SEC1693
equising_lib	sing_1617.htm#SEC1693
equisingular Tjurina number	sing_1560.htm#IDX678
equisingularity ideal	sing_1619.htm#IDX698
equisingularity stratum	sing_1620.htm#IDX699
error recovery	sing_15.htm#SEC21
errorInsert	sing_1906.htm#SEC1982
errorRand	sing_1907.htm#SEC1983
errormap	sing_2544.htm#SEC2620
esIdeal	sing_1619.htm#SEC1695
esStratum	sing_1620.htm#SEC1696
essential	sing_2284.htm#IDX898
essential 	sing_2285.htm#IDX899
eta	sing_2170.htm#SEC2246
euler	sing_1955.htm#SEC2031
eulerChProj	sing_2398.htm#SEC2474
eval	sing_236.htm#SEC276
evalJacobianAtBox	sing_2800.htm#SEC2876
evalPolyAtBox	sing_2799.htm#SEC2875
evaluateFormalDivisor	sing_2514.htm#SEC2590
evaluatePDivisor	sing_2520.htm#SEC2596
evaluateProduct	sing_2595.htm#SEC2671
evaluate_reynolds	sing_1740.htm#SEC1816
evaluation	sing_2498.htm#IDX1095
evalutateIntegral	sing_1237.htm#SEC1313
example	sing_238.htm#SEC278
example 	sing_2286.htm#IDX900
example  	sing_2287.htm#IDX902
example   	sing_2288.htm#IDX904
example    	sing_2289.htm#IDX906
example     	sing_2290.htm#IDX908
example      	sing_2291.htm#IDX910
example       	sing_2292.htm#IDX913
execute	sing_239.htm#SEC279
exit	sing_392.htm#SEC432
exp2pt	sing_1943.htm#SEC2019
expo	sing_1967.htm#SEC2043
exponents	sing_2296.htm#IDX921
export	sing_385.htm#SEC425
exportNuminvs	sing_1360.htm#SEC1436
exportto	sing_386.htm#SEC426
expp	sing_2849.htm#SEC2925
expression list	sing_72.htm#IDX128
expression list 	sing_424.htm#IDX299
ext-module	sing_701.htm#IDX375
extcurve	sing_1889.htm#SEC1965
extdevelop	sing_1651.htm#SEC1727
extendGC	sing_1023.htm#SEC1099
extendWeyl	sing_735.htm#SEC787
extendedTensor	sing_667.htm#SEC719
extendpoly	sing_1022.htm#SEC1098
extendring	sing_1101.htm#SEC1177
extension of rings	sing_1413.htm#IDX620
exterior basis	sing_1167.htm#IDX547
exterior power	sing_1169.htm#IDX549
exteriorBasis	sing_1167.htm#SEC1243
exteriorPower	sing_1169.htm#SEC1245
extgcd	sing_240.htm#SEC280
extractS	sing_598.htm#SEC650
fVector	sing_2149.htm#SEC2225
fVectorP	sing_2179.htm#SEC2255
facFirstShift	sing_653.htm#SEC705
facFirstWeyl	sing_649.htm#SEC701
facGBIdeal	sing_1378.htm#SEC1454
facShift	sing_652.htm#SEC704
facSubWeyl	sing_651.htm#SEC703
facWeyl	sing_648.htm#SEC700
faceContaining	sing_2121.htm#SEC2197
facetVertexLatticeDistances	sing_2180.htm#SEC2256
facetWidth	sing_2181.htm#SEC2257
facetWidths	sing_2182.htm#SEC2258
facets	sing_2122.htm#SEC2198
facstd	sing_241.htm#SEC281
factmodd	sing_242.htm#SEC282
factor	sing_323.htm#SEC363
factorH	sing_1013.htm#SEC1089
factorLenstraECM	sing_2006.htm#SEC2082
factorMain	sing_1843.htm#SEC1919
factorgroup	sing_2730.htm#SEC2806
factorial	sing_999.htm#SEC1075
factorization	sing_324.htm#SEC364
factorization 	sing_1197.htm#IDX551
factorize	sing_243.htm#SEC283
factorize 	sing_323.htm#SEC363
factory	sing_1.htm#IDX2
fan	sing_190.htm#SEC230
fan 	sing_2162.htm#IDX847
fanViaCones	sing_2147.htm#SEC2223
farey	sing_244.htm#SEC284
fareypoly	sing_2523.htm#SEC2599
fastExpt	sing_1951.htm#SEC2027
fastHC, option	sing_316.htm#IDX153
fastelim	sing_1805.htm#SEC1881
fetch	sing_245.htm#SEC285
fetch (plural)	sing_463.htm#SEC503
fetchall	sing_1102.htm#SEC1178
ffmodStd	sing_2529.htm#SEC2605
ffmodstd.lib	sing_2522.htm#SEC2598
ffmodstd_lib	sing_2522.htm#SEC2598
ffsolve	sing_1794.htm#SEC1870
ffsolve.lib	sing_1793.htm#SEC1869
ffsolve_lib	sing_1793.htm#SEC1869
fglm	sing_246.htm#SEC286
fglm 	sing_356.htm#IDX187
fglm_solve	sing_1821.htm#SEC1897
fglmquot	sing_247.htm#SEC287
fibonacci	sing_1000.htm#SEC1076
fibonacciGroup	sing_837.htm#SEC889
field	sing_144.htm#SEC184
file, .singularrc	sing_20.htm#IDX71
filecmd	sing_248.htm#SEC288
filtration	sing_701.htm#IDX376
finalCharts	sing_1513.htm#SEC1589
find	sing_249.htm#SEC289
findAuto	sing_607.htm#SEC659
findInvo	sing_605.htm#SEC657
findInvoDiag	sing_606.htm#SEC658
findOrientedBoundary	sing_2171.htm#SEC2247
findTorsion	sing_1932.htm#SEC2008
find_first_primitive_root	sing_2010.htm#SEC2086
find_index	sing_2014.htm#SEC2090
findifs.lib	sing_1939.htm#SEC2015
findifs_example	sing_1940.htm#SEC2016
findifs_lib	sing_1939.htm#SEC2015
findimAlgebra	sing_676.htm#SEC728
finduni	sing_250.htm#SEC290
findvars	sing_1806.htm#SEC1882
finite field	sing_144.htm#SEC184
finite field 	sing_1793.htm#IDX820
finiteDiagInvariants	sing_1355.htm#SEC1431
finitediff.lib	sing_2530.htm#IDX1122
finitediff_lib	sing_2530.htm#IDX1123
finitely presented algebra	sing_805.htm#IDX397
finitely presented algebra 	sing_811.htm#IDX403
finitely presented algebra  	sing_840.htm#IDX406
finitely presented algebra   	sing_849.htm#IDX418
finitely presented algebra    	sing_860.htm#IDX419
finitely presented algebra, standard finitely presented algebra	sing_800.htm#IDX396
finitely presented group	sing_811.htm#IDX404
finitenessTest	sing_1211.htm#SEC1287
finvar.lib	sing_1728.htm#SEC1804
finvar_lib	sing_1728.htm#SEC1804
first index is 1	sing_419.htm#SEC459
firstoct	sing_1854.htm#SEC1930
fitting	sing_1257.htm#SEC1333
fixed points, moduli space of stable maps, graph	sing_2839.htm#IDX1207
fixedPoints	sing_2839.htm#SEC2915
fl2poly	sing_585.htm#SEC637
flatten	sing_1143.htm#SEC1219
flatteningStrat	sing_1258.htm#SEC1334
floating point	sing_1111.htm#IDX537
for	sing_387.htm#SEC427
formal linear representations	sing_863.htm#IDX427
formaldivisorplus	sing_2515.htm#SEC2591
forward	sing_2536.htm#SEC2612
fourier	sing_580.htm#SEC632
fouriersystem	sing_2547.htm#SEC2623
fpadim.lib	sing_805.htm#SEC857
fpadim_lib	sing_805.htm#SEC857
fpalgebras.lib	sing_811.htm#SEC863
fpalgebras_lib	sing_811.htm#SEC863
fpaprops.lib	sing_840.htm#SEC892
fpaprops_lib	sing_840.htm#SEC892
fprintf	sing_252.htm#SEC292
fracStatus	sing_771.htm#SEC823
framed sheaves	sing_2554.htm#IDX1130
frandwalk	sing_2812.htm#SEC2888
free	sing_2295.htm#IDX918
free 	sing_2296.htm#IDX920
free associative algebra	sing_811.htm#IDX402
free associative algebra 	sing_849.htm#IDX414
free associative algebra, tensor algebra	sing_800.htm#SEC852
free noncommutative Groebner basis	sing_849.htm#IDX416
freeAlgebra (letterplace)	sing_794.htm#SEC846
freeModule	sing_2647.htm#SEC2723
freeModule2Module	sing_2676.htm#SEC2752
freegb.lib	sing_849.htm#SEC901
freegb_lib	sing_849.htm#SEC901
freemodule	sing_253.htm#SEC293
freerank	sing_1059.htm#SEC1135
fres	sing_254.htm#SEC294
from_boolean_constant	sing_2326.htm#SEC2402
from_boolean_ideal	sing_2330.htm#SEC2406
from_boolean_poly	sing_2327.htm#SEC2403
from_boolean_set	sing_2331.htm#SEC2407
frwalk	sing_255.htm#SEC295
full representation	sing_1022.htm#IDX486
full representation 	sing_1023.htm#IDX491
fullDimImages	sing_2576.htm#SEC2652
fullFan	sing_2148.htm#SEC2224
fullSerreRelations	sing_814.htm#SEC866
fullSpace	sing_2103.htm#SEC2179
furtherInvar	sing_1772.htm#SEC1848
further_hn_proc	sing_1668.htm#SEC1744
fwalk	sing_1244.htm#SEC1320
galois field	sing_144.htm#SEC184
gauss_col	sing_1152.htm#SEC1228
gauss_nf	sing_1183.htm#SEC1259
gauss_row	sing_1153.htm#SEC1229
gaussred	sing_1181.htm#SEC1257
gaussred_pivot	sing_1182.htm#SEC1258
gcd	sing_256.htm#SEC296
gcdMon	sing_1286.htm#SEC1362
gcddivisor	sing_2042.htm#SEC2118
gen	sing_257.htm#SEC297
genMDSMat	sing_1909.htm#SEC1985
genSymId	sing_1432.htm#SEC1508
general error-locator polynomial	sing_978.htm#SEC1043
general neron.	sing_2604.htm#IDX1134
general weighted lexicographical ordering	sing_952.htm#IDX450
general weighted reverse lexicographical ordering	sing_952.htm#IDX447
general.lib	sing_993.htm#SEC1069
generalOrder	sing_2067.htm#SEC2143
general_lib	sing_993.htm#SEC1069
generateG	sing_2005.htm#SEC2081
generator	sing_2459.htm#IDX1013
generator 	sing_2469.htm#IDX1033
generator  	sing_2499.htm#IDX1099
generators	sing_1568.htm#IDX682
generators 	sing_2462.htm#IDX1017
generators  	sing_2464.htm#IDX1022
generators   	sing_2465.htm#IDX1026
generatorsOfLinealitySpace	sing_2123.htm#SEC2199
generatorsOfSpan	sing_2124.htm#SEC2200
generic representation	sing_1022.htm#IDX485
genericid	sing_1077.htm#SEC1153
genericity	sing_1929.htm#SEC2005
genericmat	sing_1144.htm#SEC1220
genoutput	sing_1502.htm#SEC1578
genus	sing_1337.htm#SEC1413
geometrical locus	sing_1026.htm#IDX497
geometrical locus 	sing_1027.htm#IDX500
geometrical locus  	sing_1028.htm#IDX503
geometrical locus   	sing_1029.htm#IDX506
geometrical locus    	sing_1030.htm#IDX509
geometrical locus     	sing_1031.htm#IDX511
geometrical locus      	sing_1032.htm#IDX515
getArguments	sing_1134.htm#SEC1210
getCommand	sing_1133.htm#SEC1209
getCone	sing_2150.htm#SEC2226
getGradingGroup	sing_2705.htm#SEC2781
getLattice	sing_2706.htm#SEC2782
getLinearForms	sing_2125.htm#SEC2201
getModuleGrading	sing_2716.htm#SEC2792
getMultiplicity	sing_2126.htm#SEC2202
getOneVar	sing_1345.htm#SEC1421
getResult	sing_1135.htm#SEC1211
getSmallest	sing_1344.htm#SEC1420
getState	sing_1136.htm#SEC1212
getVariableWeights	sing_2704.htm#SEC2780
getcores	sing_1092.htm#SEC1168
getdump	sing_258.htm#SEC298
getenv	sing_359.htm#IDX211
gfan.lib	sing_2102.htm#SEC2178
gfan_lib	sing_2102.htm#SEC2178
gfanlib	sing_1.htm#IDX9
gitCone	sing_2603.htm#SEC2679
gitfan.lib	sing_2573.htm#SEC2649
gitfan_lib	sing_2573.htm#SEC2649
gkdim.lib	sing_612.htm#SEC664
gkdim_lib	sing_612.htm#SEC664
global	sing_210.htm#IDX133
global Bernstein-Sato ideal	sing_591.htm#IDX355
global Bernstein-Sato polynomial	sing_500.htm#IDX313
global Bernstein-Sato polynomial 	sing_535.htm#IDX331
global Bernstein-Sato polynomial for variety	sing_599.htm#IDX363
global homological dimension	sing_840.htm#IDX411
globalSections	sing_2509.htm#SEC2585
gmscoeffs	sing_1626.htm#SEC1702
gmsnf	sing_1625.htm#SEC1701
gmspoly.lib	sing_1645.htm#SEC1721
gmspoly_lib	sing_1645.htm#SEC1721
gmsring	sing_1624.htm#SEC1700
gmssing.lib	sing_1623.htm#SEC1699
gmssing_lib	sing_1623.htm#SEC1699
goettsche.lib	sing_2554.htm#SEC2630
goettsche_lib	sing_2554.htm#SEC2630
good basis	sing_1623.htm#IDX710
good basis 	sing_1633.htm#IDX765
good basis  	sing_1645.htm#IDX781
good basis   	sing_1647.htm#IDX792
goodBasis	sing_1647.htm#SEC1723
gorensteinIndex	sing_2183.htm#SEC2259
gorensteinVector	sing_2184.htm#SEC2260
graal.lib	sing_2566.htm#SEC2642
graalMixed	sing_2567.htm#SEC2643
graal_lib	sing_2566.htm#SEC2642
gradeNumber	sing_705.htm#SEC757
graded	sing_2462.htm#IDX1018
graded Hilbert series	sing_860.htm#IDX421
graded Weyl algebra	sing_500.htm#IDX316
graded algebra	sing_2346.htm#IDX977
graded module, graded piece	sing_1549.htm#IDX668
graded modules, graded homomorphisms, syzygies	sing_2606.htm#IDX1135
graded modules, handling of	sing_917.htm#SEC969
graded-module, graded-resolution, homogenoues-matrix, R-module-homomorphism	sing_2644.htm#IDX1137
gradedModules.lib	sing_2606.htm#SEC2682
gradedModules_lib	sing_2606.htm#SEC2682
gradiator	sing_2749.htm#SEC2825
graph	sing_1233.htm#IDX564
graph 	sing_1234.htm#IDX565
graph  	sing_2834.htm#IDX1202
graph   	sing_2835.htm#IDX1203
graphics.lib	sing_1856.htm#SEC1932
graphics_lib	sing_1856.htm#SEC1932
graphviz	sing_1.htm#IDX13
graver4ti2	sing_1430.htm#SEC1506
grconcat	sing_2629.htm#SEC2705
grdeg	sing_2609.htm#SEC2685
grgens	sing_2618.htm#SEC2694
grgroebner	sing_2628.htm#SEC2704
grlift	sing_2626.htm#SEC2702
grlifting	sing_2633.htm#SEC2709
grlifting2	sing_2634.htm#SEC2710
grlifting3	sing_2636.htm#SEC2712
grneg	sing_2639.htm#SEC2715
grobcov	sing_1015.htm#SEC1091
grobcov.lib	sing_1014.htm#SEC1090
grobcov_lib	sing_1014.htm#SEC1090
grobj	sing_2607.htm#SEC2683
groebner	sing_259.htm#SEC299
groebner 	sing_909.htm#SEC961
groebner basis computations	sing_259.htm#IDX147
groebnerComplex	sing_2262.htm#SEC2338
groebnerCone	sing_2256.htm#SEC2332
groebnerFan	sing_2261.htm#SEC2337
gromovWitten	sing_1238.htm#SEC1314
grorder	sing_2620.htm#SEC2696
ground field	sing_144.htm#SEC184
groupActionOnHashes	sing_2591.htm#SEC2667
groupActionOnQImage	sing_2590.htm#SEC2666
group_reynolds	sing_1736.htm#SEC1812
growth of algebra	sing_840.htm#IDX409
grpower	sing_2616.htm#SEC2692
grpres	sing_2619.htm#SEC2695
grprod	sing_2627.htm#SEC2703
grrange	sing_2638.htm#SEC2714
grres	sing_2625.htm#SEC2701
grrndmap	sing_2631.htm#SEC2707
grrndmap2	sing_2632.htm#SEC2708
grrndmat	sing_2630.htm#SEC2706
grshift	sing_2611.htm#SEC2687
grsum	sing_2615.htm#SEC2691
grsyz	sing_2624.htm#SEC2700
grtest	sing_2608.htm#SEC2684
grtranspose	sing_2617.htm#SEC2693
grtranspose1	sing_2621.htm#SEC2697
grtwist	sing_2613.htm#SEC2689
grtwists	sing_2614.htm#SEC2690
grview	sing_2610.htm#SEC2686
grwalk.lib	sing_1243.htm#SEC1319
grwalk_lib	sing_1243.htm#SEC1319
grzero	sing_2612.htm#SEC2688
gwalk	sing_1249.htm#SEC1325
hStarVector	sing_2185.htm#SEC2261
hVector	sing_2186.htm#SEC2262
h_increasing_knapsack	sing_2028.htm#SEC2104
hardware platform	sing_359.htm#IDX271
hasAlgExtensionCoefficient	sing_1115.htm#SEC1191
hasCommutativeVars	sing_1112.htm#SEC1188
hasGlobalOrdering	sing_1113.htm#SEC1189
hasLeftDenom	sing_750.htm#SEC802
hasMixedOrdering	sing_1114.htm#SEC1190
hasNumericCoeffs	sing_1111.htm#SEC1187
hasRightDenom	sing_751.htm#SEC803
hasTransExtensionCoefficient	sing_1116.htm#SEC1192
hashToCone	sing_2601.htm#SEC2677
hashesToFan	sing_2602.htm#SEC2678
headStand	sing_1165.htm#SEC1241
heightZ	sing_1407.htm#SEC1483
help	sing_260.htm#SEC300
help browsers	sing_16.htm#IDX22
help browsers, dummy	sing_16.htm#IDX25
help browsers, dummy 	sing_16.htm#IDX27
help browsers, emacs	sing_16.htm#IDX26
help browsers, html	sing_16.htm#IDX23
help browsers, setting command to use	sing_16.htm#IDX30
help browsers, setting the	sing_359.htm#IDX194
help, accessing over the net	sing_19.htm#IDX42
help, online help system	sing_16.htm#SEC22
hermiteNormalForm	sing_2750.htm#SEC2826
hess.lib	sing_2641.htm#SEC2717
hess_lib	sing_2641.htm#SEC2717
hessenberg	sing_359.htm#IDX217
hessenberg 	sing_1187.htm#SEC1263
highcorner	sing_261.htm#SEC301
hilb	sing_262.htm#SEC302
hilbPoly	sing_1075.htm#SEC1151
hilbert4ti2	sing_1429.htm#SEC1505
hilbertBasis	sing_2187.htm#SEC2263
hilbertSeries	sing_2752.htm#SEC2828
hilbvec	sing_1807.htm#SEC1883
hnexpansion	sing_1649.htm#SEC1725
hnoether.lib	sing_1648.htm#SEC1724
hnoether_lib	sing_1648.htm#SEC1724
holonomic rank	sing_723.htm#IDX387
holonomicRank	sing_727.htm#SEC779
hom	sing_2688.htm#SEC2764
hom_kernel	sing_1265.htm#SEC1341
homog	sing_263.htm#SEC303
homog 	sing_2480.htm#IDX1056
homog_part	sing_2846.htm#SEC2922
homog_parts	sing_2847.htm#SEC2923
homogeneitySpace	sing_2258.htm#SEC2334
homogeneous	sing_2466.htm#IDX1027
homogeneous 	sing_2480.htm#IDX1055
homogeneous  	sing_2481.htm#IDX1057
homogeneous decomposition	sing_2466.htm#IDX1028
homogfacFirstQWeyl	sing_656.htm#SEC708
homogfacFirstQWeyl_all	sing_658.htm#SEC710
homogfacNthQWeyl	sing_655.htm#SEC707
homogfacNthQWeyl_all	sing_657.htm#SEC709
homogfacNthWeyl	sing_654.htm#SEC706
homolog.lib	sing_1250.htm#SEC1326
homolog_lib	sing_1250.htm#SEC1326
homology	sing_1260.htm#SEC1336
homomorphism	sing_2672.htm#SEC2748
howto, download	sing_2873.htm#SEC2963
howto, install on Macintosh	sing_2876.htm#SEC2966
howto, install on Unix	sing_2874.htm#SEC2964
howto, install on Windows	sing_2875.htm#SEC2965
hres	sing_264.htm#SEC304
html, default help	sing_16.htm#IDX24
hyperel.lib	sing_2035.htm#SEC2111
hyperel_lib	sing_2035.htm#SEC2111
hyperplane	sing_2265.htm#IDX858
hyperplane arrangement	sing_535.htm#IDX337
hypersurface singularity	sing_1675.htm#IDX810
iMult	sing_1340.htm#SEC1416
id	sing_2645.htm#SEC2721
id2mod	sing_1071.htm#SEC1147
ideal	sing_90.htm#SEC130
ideal (plural)	sing_425.htm#SEC465
ideal declarations	sing_91.htm#SEC131
ideal declarations (plural)	sing_426.htm#SEC466
ideal expressions	sing_92.htm#SEC132
ideal expressions (plural)	sing_427.htm#SEC467
ideal operations	sing_93.htm#SEC133
ideal operations (plural)	sing_428.htm#SEC468
ideal related functions	sing_94.htm#SEC134
ideal related functions (plural)	sing_429.htm#SEC469
ideal, toric	sing_965.htm#SEC1022
idealSplit	sing_1814.htm#SEC1890
ideals	sing_420.htm#IDX293
idealsimplify	sing_1576.htm#SEC1652
identifier	sing_421.htm#SEC461
identifyvar	sing_1484.htm#SEC1560
if	sing_388.htm#SEC428
image	sing_2668.htm#SEC2744
imageLattice	sing_2718.htm#SEC2794
image_of_variety	sing_1764.htm#SEC1840
imap	sing_265.htm#SEC305
imap (plural)	sing_464.htm#SEC504
imapall	sing_1103.htm#SEC1179
impart	sing_266.htm#SEC306
importfrom	sing_389.htm#SEC429
inCenter	sing_524.htm#SEC576
inCentralizer	sing_525.htm#SEC577
inForm	sing_567.htm#SEC619
inSubring	sing_1203.htm#SEC1279
indSet	sing_1312.htm#SEC1388
indepSet	sing_267.htm#SEC307
indexed names	sing_36.htm#IDX82
indexed names 	sing_37.htm#SEC65
indices, multi	sing_37.htm#SEC65
inequalities	sing_2127.htm#SEC2203
infRedTail, option	sing_316.htm#IDX154
infinitely presented algebra	sing_860.htm#IDX420
info	sing_16.htm#SEC23
iniD	sing_1504.htm#SEC1580
init_debug	sing_1583.htm#SEC1659
initial	sing_2259.htm#SEC2335
initial form	sing_500.htm#IDX318
initial ideal	sing_500.htm#IDX317
initial ideal approach	sing_500.htm#IDX321
initial ideal approach 	sing_599.htm#IDX367
initialForm	sing_2236.htm#SEC2312
initialIdeal	sing_2237.htm#SEC2313
initialIdealW	sing_566.htm#SEC618
initialMalgrange	sing_565.htm#SEC617
injective_knapsack	sing_2029.htm#SEC2105
inout.lib	sing_1037.htm#SEC1113
inout_lib	sing_1037.htm#SEC1113
input	sing_41.htm#SEC71
insert	sing_126.htm#SEC166
insert 	sing_268.htm#SEC308
insertCone	sing_2151.htm#SEC2227
insertGenerator	sing_586.htm#SEC638
instructions, Macintosh installation	sing_2876.htm#SEC2966
instructions, Unix installation	sing_2874.htm#SEC2964
instructions, Windows installation	sing_2875.htm#SEC2965
instructions, downloading	sing_2873.htm#SEC2963
int	sing_95.htm#SEC135
int declarations	sing_96.htm#SEC136
int expressions	sing_97.htm#SEC137
int operations	sing_98.htm#SEC138
int related functions	sing_99.htm#SEC139
intInverse	sing_2727.htm#SEC2803
intPart	sing_1983.htm#SEC2059
intRank	sing_2719.htm#SEC2795
intRoot	sing_1984.htm#SEC2060
intRoots	sing_583.htm#SEC635
intStrategy, option	sing_316.htm#IDX155
intclMonIdeal	sing_1353.htm#SEC1429
intclToricRing	sing_1349.htm#SEC1425
integer division	sing_420.htm#IDX288
integer programming	sing_973.htm#SEC1030
integral	sing_2821.htm#SEC2897
integral basis	sing_1272.htm#IDX586
integral basis 	sing_1467.htm#IDX653
integral closure	sing_1333.htm#IDX601
integral closure 	sing_1334.htm#IDX604
integral closure  	sing_1335.htm#IDX607
integral closure   	sing_1348.htm#IDX613
integralBasis	sing_1272.htm#SEC1348
integralIdeal	sing_570.htm#SEC622
integralModule	sing_571.htm#SEC623
integralSection	sing_2728.htm#SEC2804
integralbasis.lib	sing_1271.htm#SEC1347
integralbasis_lib	sing_1271.htm#SEC1347
integration of D-module	sing_558.htm#IDX349
interface, Emacs	sing_21.htm#SEC28
interiorLatticePoints	sing_2188.htm#SEC2264
internalfunctions	sing_1584.htm#SEC1660
interpolate	sing_1820.htm#SEC1896
interpolation	sing_269.htm#SEC309
interpret	sing_2690.htm#SEC2766
interpretElem	sing_2693.htm#SEC2769
interpretInv	sing_2691.htm#SEC2767
interpretList	sing_2694.htm#SEC2770
interred	sing_270.htm#SEC310
intersect	sing_271.htm#SEC311
intersect (plural)	sing_465.htm#SEC505
intersectElim, option	sing_316.htm#IDX173
intersectLattices	sing_2724.htm#SEC2800
intersectLists	sing_2443.htm#SEC2519
intersectMon	sing_1289.htm#SEC1365
intersectOrbitsWithMovingCone	sing_2589.htm#SEC2665
intersectSyz, option	sing_316.htm#IDX174
intersectZ	sing_1409.htm#SEC1485
intersection	sing_1658.htm#SEC1734
intersection lattice	sing_2301.htm#IDX933
intersection lattice 	sing_2302.htm#IDX934
intersection multiplicity	sing_1569.htm#IDX688
intersection multiplicity 	sing_1658.htm#IDX803
intersectionDiv	sing_1532.htm#SEC1608
intersectionValRingIdeals	sing_1358.htm#SEC1434
intersectionValRings	sing_1357.htm#SEC1433
intersectpar	sing_1035.htm#SEC1111
interval arithmetic	sing_2791.htm#IDX1177
intmat	sing_102.htm#SEC142
intmat declarations	sing_103.htm#SEC143
intmat expressions	sing_104.htm#SEC144
intmat operations	sing_106.htm#SEC146
intmat related functions	sing_107.htm#SEC147
intmat type cast	sing_105.htm#SEC145
intmat2mons	sing_1373.htm#SEC1449
intprog.lib	sing_1273.htm#SEC1349
intprog_lib	sing_1273.htm#SEC1349
intvec	sing_108.htm#SEC148
intvec declarations	sing_109.htm#SEC149
intvec expressions	sing_110.htm#SEC150
intvec operations	sing_111.htm#SEC151
intvec related functions	sing_112.htm#SEC152
invariant	sing_2449.htm#IDX999
invariant ring minimal generating set matrix group	sing_1733.htm#IDX816
invariant ring minimal generating set permutation group	sing_1734.htm#IDX817
invariantRing	sing_1766.htm#SEC1842
invariant_algebra_perm	sing_1734.htm#SEC1810
invariant_algebra_reynolds	sing_1733.htm#SEC1809
invariant_basis	sing_1741.htm#SEC1817
invariant_basis_reynolds	sing_1742.htm#SEC1818
invariant_ring	sing_1729.htm#SEC1805
invariant_ring_random	sing_1730.htm#SEC1806
invariants	sing_1654.htm#SEC1730
invariants 	sing_2446.htm#IDX992
invariants  	sing_2450.htm#IDX1001
inverse	sing_1171.htm#SEC1247
inverse of a matrix via its LU-decomposition	sing_291.htm#SEC331
inverseFourier	sing_581.htm#SEC633
inverse_B	sing_1172.htm#SEC1248
inverse_L	sing_1173.htm#SEC1249
inverse_modulus	sing_2012.htm#SEC2088
invertBirMap	sing_1468.htm#SEC1544
invertLeftFraction	sing_781.htm#SEC833
invertNcfrac	sing_760.htm#SEC812
invertNumberMain	sing_1844.htm#SEC1920
involut.lib	sing_604.htm#SEC656
involut_lib	sing_604.htm#SEC656
involution	sing_609.htm#SEC661
invunit	sing_1677.htm#SEC1753
iostruct	sing_1931.htm#SEC2007
irrRealizationDim	sing_2218.htm#SEC2294
irred_secondary_char0	sing_1755.htm#SEC1831
irred_secondary_no_molien	sing_1758.htm#SEC1834
irreddecMon	sing_1298.htm#SEC1374
irreducible power series	sing_1659.htm#IDX804
irreducible secondary invariant	sing_1755.htm#IDX818
isAface	sing_2574.htm#SEC2650
isAntiEndo	sing_611.htm#SEC663
isBounded	sing_2189.htm#SEC2265
isCI	sing_210.htm#IDX139
isCI 	sing_1221.htm#SEC1297
isCM	sing_210.htm#IDX140
isCM 	sing_1261.htm#SEC1337
isCMcod2	sing_1712.htm#SEC1788
isCanonical	sing_2190.htm#SEC2266
isCartan	sing_526.htm#SEC578
isCentral	sing_683.htm#SEC735
isCommutative	sing_685.htm#SEC737
isCompatible	sing_2152.htm#SEC2228
isCompressed	sing_2191.htm#SEC2267
isDenom	sing_764.htm#SEC816
isEqualDivisor	sing_2508.htm#SEC2584
isEquising	sing_1621.htm#SEC1697
isFlat	sing_1262.htm#SEC1338
isFreeAlgebra	sing_850.htm#SEC902
isFsat	sing_576.htm#SEC628
isFullSpace	sing_2128.htm#SEC2204
isGorenstein	sing_2192.htm#SEC2268
isGradedRingHomomorphism	sing_2713.htm#SEC2789
isGroup	sing_2711.htm#SEC2787
isGroupHomomorphism	sing_2712.htm#SEC2788
isHolonomic	sing_554.htm#SEC606
isHomg	sing_210.htm#IDX135
isHomogeneous	sing_2739.htm#SEC2815
isInS	sing_770.htm#SEC822
isInt	sing_589.htm#SEC641
isIntegralSurjective	sing_2725.htm#SEC2801
isInvertibleLeftFraction	sing_780.htm#SEC832
isInvertibleNcfrac	sing_759.htm#SEC811
isInvolution	sing_610.htm#SEC662
isLatticeEmpty	sing_2193.htm#SEC2269
isLocalizationRegular	sing_2570.htm#SEC2646
isLocallyFree	sing_1263.htm#SEC1339
isMonomial	sing_1284.htm#SEC1360
isNC	sing_684.htm#SEC736
isNormal	sing_2194.htm#SEC2270
isOnCurve	sing_1996.htm#SEC2072
isOneFraction	sing_783.htm#SEC835
isOneNcfrac	sing_753.htm#SEC805
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isOrigin	sing_2129.htm#SEC2205
isPositive	sing_2736.htm#SEC2812
isPrimitiveSublattice	sing_2726.htm#SEC2802
isPure	sing_2153.htm#SEC2229
isPureTensor	sing_498.htm#SEC550
isQuotientRing	sing_1117.htm#SEC1193
isRational	sing_557.htm#SEC609
isReflexive	sing_2195.htm#SEC2271
isReg	sing_1264.htm#SEC1340
isSB	sing_210.htm#IDX134
isSimplicial	sing_2130.htm#SEC2206
isSmooth	sing_2196.htm#SEC2272
isSubModule	sing_1118.htm#SEC1194
isSublattice	sing_2717.htm#SEC2793
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isTame	sing_1646.htm#SEC1722
isTerminal	sing_2197.htm#SEC2273
isTorsionFree	sing_2735.htm#SEC2811
isTwoSidedGB	sing_499.htm#SEC551
isUpperTriangular	sing_664.htm#SEC716
isVeryAmple	sing_2198.htm#SEC2274
isWeyl	sing_686.htm#SEC738
isZeroElement	sing_2737.htm#SEC2813
isZeroFraction	sing_782.htm#SEC834
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is_NP	sing_1321.htm#SEC1397
is_active	sing_1695.htm#SEC1771
is_bijective	sing_1208.htm#SEC1284
is_cenBimodule	sing_719.htm#SEC771
is_cenSubbimodule	sing_720.htm#SEC772
is_ci	sing_1696.htm#SEC1772
is_complex	sing_1145.htm#SEC1221
is_fix_injective	sing_2033.htm#SEC2109
is_h_injective	sing_2032.htm#SEC2108
is_injective	sing_1206.htm#SEC1282
is_irred	sing_1659.htm#SEC1735
is_is	sing_1697.htm#SEC1773
is_nested	sing_1322.htm#SEC1398
is_prime	sing_2013.htm#SEC2089
is_primitive_root	sing_2009.htm#SEC2085
is_pure	sing_711.htm#SEC763
is_reg	sing_1698.htm#SEC1774
is_regs	sing_1699.htm#SEC1775
is_surjective	sing_1207.htm#SEC1283
is_zero	sing_1060.htm#SEC1136
isartinianMon	sing_1295.htm#SEC1371
isgenericMon	sing_1296.htm#SEC1372
ishyper	sing_2036.htm#SEC2112
isirreducibleMon	sing_1294.htm#SEC1370
isoncurve	sing_2037.htm#SEC2113
isparam	sing_2100.htm#SEC2176
isprimaryMon	sing_1293.htm#SEC1369
isprimeMon	sing_1292.htm#SEC1368
isuni	sing_2085.htm#SEC2161
ivmatGaussian	sing_2798.htm#SEC2874
ivmatInit	sing_2795.htm#SEC2871
ivmatSet	sing_2796.htm#SEC2872
jInvariant	sing_2230.htm#SEC2306
jOft	sing_1968.htm#SEC2044
jacob	sing_272.htm#SEC312
jacoblift	sing_1678.htm#SEC1754
jacobson	sing_1937.htm#SEC2013
jacobson.lib	sing_1935.htm#SEC2011
jacobson_lib	sing_1935.htm#SEC2011
janet	sing_273.htm#SEC313
janet basis	sing_2804.htm#IDX1180
jet	sing_274.htm#SEC314
jordan	sing_1192.htm#SEC1268
jordanbasis	sing_1193.htm#SEC1269
jordanmatrix	sing_1194.htm#SEC1270
jordannf	sing_1195.htm#SEC1271
jungfib	sing_1517.htm#SEC1593
jungnormal	sing_1516.htm#SEC1592
jungresolve	sing_1515.htm#SEC1591
katsura	sing_1058.htm#SEC1134
kbase	sing_275.htm#SEC315
kbase (plural)	sing_466.htm#SEC506
keepring	sing_390.htm#SEC430
kerHom	sing_2689.htm#SEC2765
kernel	sing_276.htm#SEC316
kernelLattice	sing_2720.htm#SEC2796
kill	sing_277.htm#SEC317
killTask	sing_1124.htm#SEC1200
killall	sing_1002.htm#SEC1078
killattrib	sing_278.htm#SEC318
kmemory	sing_1001.htm#SEC1077
kohom	sing_1266.htm#SEC1342
kontrahom	sing_1267.htm#SEC1343
koszul	sing_279.htm#SEC319
kskernel.lib	sing_1669.htm#SEC1745
kskernel_lib	sing_1669.htm#SEC1745
l-adic numbers	sing_32.htm#SEC46
laguerre	sing_280.htm#SEC320
laguerre_solve	sing_1816.htm#SEC1892
lastvarGeneral	sing_2066.htm#SEC2142
latex.lib	sing_1860.htm#SEC1936
latex_lib	sing_1860.htm#SEC1936
lattice	sing_2302.htm#IDX936
latticeArea	sing_2173.htm#SEC2249
latticeBasis	sing_2721.htm#SEC2797
latticeCodegree	sing_2199.htm#SEC2275
latticeDegree	sing_2200.htm#SEC2276
latticePoints	sing_2201.htm#SEC2277
latticeVolume	sing_2202.htm#SEC2278
laxfrT	sing_2534.htm#SEC2610
laxfrX	sing_2535.htm#SEC2611
lazy, option	sing_316.htm#IDX156
lcm	sing_1061.htm#SEC1137
lcmMon	sing_1287.htm#SEC1363
lcmN	sing_1977.htm#SEC2053
lcmofall	sing_1497.htm#SEC1573
lead	sing_281.htm#SEC321
leadcoef	sing_282.htm#SEC322
leadexp	sing_283.htm#SEC323
leadmonom	sing_284.htm#SEC324
leadmonomial	sing_2052.htm#SEC2128
left annihilator ideal	sing_535.htm#IDX329
left annihilator ideal 	sing_591.htm#IDX357
leftInverse	sing_1926.htm#SEC2002
leftKernel	sing_1924.htm#SEC2000
leftOre	sing_773.htm#SEC825
length	sing_2793.htm#SEC2869
length, option	sing_316.htm#IDX157
letplaceGBasis	sing_857.htm#SEC909
letterplace	sing_294.htm#SEC334
letterplace 	sing_335.htm#SEC375
lex_solve	sing_1822.htm#SEC1898
lexicographical ordering	sing_951.htm#IDX430
lib2doc	sing_60.htm#SEC97
libSingular	sing_2872.htm#SEC2962
libcdd	sing_1.htm#IDX12
libfac	sing_1.htm#IDX6
libparse	sing_69.htm#SEC109
library	sing_2317.htm#IDX951
library, gitfan, GIT, geometric invariant theory, quotients	sing_2573.htm#IDX1132
library, info string	sing_55.htm#IDX124
library, polybori.lib	sing_2317.htm#IDX948
library, template	sing_55.htm#SEC92
library, template.lib	sing_55.htm#IDX122
lieBracket	sing_858.htm#SEC910
lift	sing_286.htm#SEC326
lift 	sing_493.htm#IDX305
lift (plural)	sing_467.htm#SEC507
lift_kbase	sing_1615.htm#SEC1691
lift_rel_kb	sing_1616.htm#SEC1692
liftenvelope	sing_496.htm#SEC548
liftstd	sing_287.htm#SEC327
liftstd (plural)	sing_468.htm#SEC508
linReduce	sing_508.htm#SEC560
linReduceIdeal	sing_509.htm#SEC561
linSyzSolve	sing_510.htm#SEC562
linalg.lib	sing_1170.htm#SEC1246
linalg_lib	sing_1170.htm#SEC1246
linealityDimension	sing_2131.htm#SEC2207
linealitySpace	sing_2132.htm#SEC2208
linear algebra	sing_211.htm#SEC251
linear algebra 	sing_290.htm#SEC330
linear algebra  	sing_291.htm#SEC331
linear algebra   	sing_292.htm#SEC332
linear code, dual	sing_1895.htm#IDX829
linear code, systematic	sing_1896.htm#IDX830
linear interreduction	sing_500.htm#IDX320
linearCombinations	sing_529.htm#SEC581
linearMapKernel	sing_528.htm#SEC580
linear_relations	sing_1162.htm#SEC1238
linearlyEquivalent	sing_2511.htm#SEC2587
linearpart	sing_1808.htm#SEC1884
linesHypersurface	sing_2843.htm#SEC2919
link	sing_113.htm#SEC153
link 	sing_906.htm#SEC958
link declarations	sing_114.htm#SEC154
link expressions	sing_115.htm#SEC155
link related functions	sing_116.htm#SEC156
list	sing_123.htm#SEC163
list 	sing_2482.htm#IDX1060
list  	sing_2483.htm#IDX1062
list declarations	sing_124.htm#SEC164
list expressions	sing_125.htm#SEC165
list operations	sing_126.htm#SEC166
list related functions	sing_127.htm#SEC167
lists	sing_2443.htm#IDX988
lists, elements	sing_2445.htm#IDX990
listvar	sing_288.htm#SEC328
lll	sing_2753.htm#SEC2829
load	sing_391.htm#SEC431
loadLib, option	sing_316.htm#IDX178
loadProc, option	sing_316.htm#IDX179
locAtZero	sing_1342.htm#SEC1418
locNormal	sing_1276.htm#SEC1352
locStatus	sing_768.htm#SEC820
local methods	sing_1275.htm#IDX589
local methods 	sing_1276.htm#IDX592
local names	sing_46.htm#SEC83
local rings, computing in	sing_901.htm#SEC953
local weighted lexicographical ordering	sing_952.htm#IDX451
local weighted reverse lexicographical ordering	sing_952.htm#IDX448
localInvar	sing_1771.htm#SEC1847
localization	sing_901.htm#SEC953
localization 	sing_2282.htm#IDX896
localization of D-module	sing_558.htm#IDX345
localization of D-module 	sing_723.htm#IDX390
locally closed set	sing_1019.htm#IDX475
locally closed set 	sing_1020.htm#IDX477
locally closed set  	sing_1021.htm#IDX479
locally closed set   	sing_1022.htm#IDX483
locally closed set    	sing_1024.htm#IDX493
localstd	sing_2062.htm#SEC2138
locnormal.lib	sing_1275.htm#SEC1351
locnormal_lib	sing_1275.htm#SEC1351
locstd	sing_1700.htm#SEC1776
locus	sing_1026.htm#SEC1102
locus 	sing_1026.htm#IDX498
locus  	sing_1027.htm#IDX501
locus   	sing_1028.htm#IDX504
locus    	sing_1029.htm#IDX507
locus     	sing_1030.htm#IDX510
locus      	sing_1031.htm#IDX512
locus       	sing_1032.htm#IDX516
locusdg	sing_1027.htm#SEC1103
locusto	sing_1029.htm#SEC1105
log2	sing_1952.htm#SEC2028
logarithmic annihilator ideal	sing_535.htm#IDX334
logarithmic annihilator ideal 	sing_591.htm#IDX359
logg	sing_2848.htm#SEC2924
lp, global ordering	sing_951.htm#IDX429
lpCalcSubstDegBound	sing_848.htm#SEC900
lpDegBound	sing_851.htm#SEC903
lpDivision	sing_853.htm#SEC905
lpGBPres2Poly	sing_854.htm#SEC906
lpGkDim	sing_844.htm#SEC896
lpGlDimBound	sing_845.htm#SEC897
lpHilbert	sing_809.htm#SEC861
lpIsPrime	sing_843.htm#SEC895
lpIsSemiPrime	sing_842.htm#SEC894
lpKDim	sing_807.htm#SEC859
lpKDimCheck	sing_806.htm#SEC858
lpMonomialBasis	sing_808.htm#SEC860
lpNoetherian	sing_841.htm#SEC893
lpSickleDim	sing_810.htm#SEC862
lpSubstitute	sing_846.htm#SEC898
lpUfGraph	sing_847.htm#SEC899
lpVarBlockSize	sing_852.htm#SEC904
lprint	sing_1039.htm#SEC1115
lres	sing_289.htm#SEC329
ls, local ordering	sing_952.htm#IDX442
lsum	sing_1242.htm#SEC1318
ludecomp	sing_290.htm#SEC330
luinverse	sing_291.htm#SEC331
lusolve	sing_292.htm#SEC332
mRes	sing_2657.htm#SEC2733
m_merkle_hellman_decryption	sing_2024.htm#SEC2100
m_merkle_hellman_encryption	sing_2023.htm#SEC2099
m_merkle_hellman_transformation	sing_2022.htm#SEC2098
magnitude	sing_1946.htm#SEC2022
makeDivisor	sing_2503.htm#SEC2579
makeFormalDivisor	sing_2513.htm#SEC2589
makeGraph	sing_1233.htm#SEC1309
makeGraphVE	sing_2834.htm#SEC2910
makeHeisenberg	sing_674.htm#SEC726
makeIdeal	sing_2649.htm#SEC2725
makeLetterplaceRing	sing_856.htm#SEC908
makeMalgrange	sing_603.htm#SEC655
makeMatrix	sing_2648.htm#SEC2724
makeModElimRing	sing_691.htm#SEC743
makePDivisor	sing_2519.htm#SEC2595
makeQsl2	sing_637.htm#SEC689
makeQsl3	sing_638.htm#SEC690
makeQso3	sing_636.htm#SEC688
makeSheaf	sing_2822.htm#SEC2898
makeUe6	sing_633.htm#SEC685
makeUe7	sing_634.htm#SEC686
makeUe8	sing_635.htm#SEC687
makeUf4	sing_632.htm#SEC684
makeUg2	sing_631.htm#SEC683
makeUgl	sing_617.htm#SEC669
makeUsl	sing_616.htm#SEC668
makeUsl2	sing_615.htm#SEC667
makeUso10	sing_623.htm#SEC675
makeUso11	sing_624.htm#SEC676
makeUso12	sing_625.htm#SEC677
makeUso5	sing_618.htm#SEC670
makeUso6	sing_619.htm#SEC671
makeUso7	sing_620.htm#SEC672
makeUso8	sing_621.htm#SEC673
makeUso9	sing_622.htm#SEC674
makeUsp1	sing_626.htm#SEC678
makeUsp2	sing_627.htm#SEC679
makeUsp3	sing_628.htm#SEC680
makeUsp4	sing_629.htm#SEC681
makeUsp5	sing_630.htm#SEC682
makeVariety	sing_2814.htm#SEC2890
makeVector	sing_2677.htm#SEC2753
makeWeyl	sing_673.htm#SEC725
map	sing_128.htm#SEC168
map (plural)	sing_430.htm#SEC470
map declarations	sing_129.htm#SEC169
map declarations (plural)	sing_431.htm#SEC471
map expressions	sing_130.htm#SEC170
map expressions (plural)	sing_432.htm#SEC472
map operations	sing_131.htm#IDX129
map operations (plural)	sing_433.htm#IDX300
map related functions	sing_132.htm#IDX131
map related functions  (plural)	sing_434.htm#IDX301
mapIsFinite	sing_1210.htm#SEC1286
mapToRatNormCurve	sing_1472.htm#SEC1548
mapall	sing_1104.htm#SEC1180
mappingcone	sing_2635.htm#SEC2711
mappingcone3	sing_2637.htm#SEC2713
markov4ti2	sing_1428.htm#SEC1504
mat2arr	sing_2267.htm#SEC2343
mat2carr	sing_2268.htm#SEC2344
mat_rk	sing_1184.htm#SEC1260
matbil	sing_2073.htm#SEC2149
mathematical objects	sing_947.htm#SEC999
mathinit	sing_1858.htm#SEC1934
matmult	sing_2074.htm#SEC2150
matrix	sing_133.htm#SEC173
matrix 	sing_2267.htm#IDX864
matrix  	sing_2268.htm#IDX867
matrix   	sing_2269.htm#IDX871
matrix declarations	sing_134.htm#SEC174
matrix diagonalization	sing_1935.htm#IDX840
matrix expressions	sing_135.htm#SEC175
matrix operations	sing_137.htm#SEC177
matrix related functions	sing_138.htm#SEC178
matrix type cast	sing_136.htm#SEC176
matrix.lib	sing_1138.htm#SEC1214
matrixExp	sing_1462.htm#SEC1538
matrixLog	sing_1463.htm#SEC1539
matrixT1	sing_1714.htm#SEC1790
matrix_lib	sing_1138.htm#SEC1214
matrixpres	sing_2640.htm#SEC2716
matrixsystem	sing_2545.htm#SEC2621
max	sing_293.htm#SEC333
maxEord	sing_1487.htm#SEC1563
maxExp	sing_210.htm#IDX136
maxIntRoot	sing_740.htm#SEC792
maxZeros	sing_1465.htm#SEC1541
maxabs	sing_2092.htm#SEC2168
maxcoef	sing_1062.htm#SEC1138
maxdeg	sing_1063.htm#SEC1139
maxdeg1	sing_1064.htm#SEC1140
maxideal	sing_294.htm#SEC334
maximalFace	sing_2203.htm#SEC2279
maximalGroebnerCone	sing_2257.htm#SEC2333
maximalValue	sing_2204.htm#SEC2280
maximum	sing_1965.htm#SEC2041
maximum number of zeroes	sing_1465.htm#IDX647
mdouble	sing_56.htm#SEC93
mem, option	sing_316.htm#IDX180
member	sing_2445.htm#SEC2521
membershipMon	sing_1288.htm#SEC1364
memory	sing_295.htm#SEC335
memory managment	sing_295.htm#SEC335
merkle_hellman_decryption	sing_2026.htm#SEC2102
merkle_hellman_encryption	sing_2025.htm#SEC2101
methods, hashtables	sing_2643.htm#IDX1136
methods.lib	sing_2643.htm#SEC2719
methods_lib	sing_2643.htm#SEC2719
midpoint	sing_2541.htm#SEC2617
milnor	sing_1701.htm#SEC1777
milnorcode	sing_1585.htm#SEC1661
milnornumber	sing_2788.htm#SEC2864
min	sing_296.htm#SEC336
minAssChar	sing_1387.htm#SEC1463
minAssCharE	sing_1388.htm#SEC1464
minAssGTZ	sing_1385.htm#SEC1461
minAssGTZE	sing_1386.htm#SEC1462
minAssZ	sing_1405.htm#SEC1481
minEcart	sing_2055.htm#SEC2131
minIntRoot	sing_556.htm#SEC608
minIntRoot2	sing_739.htm#SEC791
minMult	sing_1217.htm#SEC1293
minbase	sing_297.htm#SEC337
minbaseMon	sing_1285.htm#SEC1361
mindeg	sing_1065.htm#SEC1141
mindeg1	sing_1066.htm#SEC1142
mindist	sing_1910.htm#SEC1986
minimal display time, setting the	sing_359.htm#IDX284
minimal representations	sing_863.htm#IDX428
minimalAfaceOrbits	sing_2586.htm#SEC2662
minimalAfaces	sing_2577.htm#SEC2653
minimalFace	sing_2205.htm#SEC2281
minimalOrbitConeOrbits	sing_2588.htm#SEC2664
minimalValue	sing_2206.htm#SEC2282
minipoly	sing_1189.htm#SEC1265
minkowskiSum	sing_2207.htm#SEC2283
minor	sing_298.htm#SEC338
minpoly	sing_399.htm#SEC439
minres	sing_299.htm#SEC339
minres (plural)	sing_469.htm#SEC509
minus	sing_2471.htm#IDX1036
minus 	sing_2472.htm#IDX1038
minus  	sing_2493.htm#IDX1084
minus   	sing_2494.htm#IDX1086
mirror symmetry	sing_1232.htm#IDX557
mixed Hodge structure	sing_1623.htm#IDX703
mixed Hodge structure 	sing_1629.htm#IDX731
mixed Hodge structure  	sing_1630.htm#IDX737
mixed Hodge structure   	sing_1631.htm#IDX745
mixed Hodge structure    	sing_1632.htm#IDX751
mixed Hodge structure     	sing_1633.htm#IDX759
mixed Hodge structure      	sing_1634.htm#IDX769
mixed Hodge structure       	sing_1645.htm#IDX775
mixed Hodge structure        	sing_1647.htm#IDX786
mod	sing_81.htm#SEC121
mod 	sing_98.htm#SEC138
mod  	sing_147.htm#SEC187
mod   	sing_155.htm#SEC195
mod2id	sing_1070.htm#SEC1146
modBorder	sing_2806.htm#SEC2882
modDec	sing_1304.htm#SEC1380
modIntersect	sing_1282.htm#SEC1358
modJanet	sing_2808.htm#SEC2884
modNPos	sing_1327.htm#SEC1403
modNormal	sing_1278.htm#SEC1354
modNpos_test	sing_1325.htm#SEC1401
modSagbiAlg	sing_2432.htm#SEC2508
modStd	sing_1280.htm#SEC1356
modSyz	sing_1281.htm#SEC1357
modVStd	sing_2437.htm#SEC2513
modVStd0	sing_2438.htm#SEC2514
modWalk	sing_2698.htm#SEC2774
mod_versal	sing_1614.htm#SEC1690
modality	sing_1593.htm#SEC1669
modberlekampMassey	sing_2527.htm#SEC2603
modfWalk	sing_2700.htm#SEC2776
modfrWalk	sing_2701.htm#SEC2777
modnormal.lib	sing_1277.htm#SEC1353
modnormal_lib	sing_1277.htm#SEC1353
modrWalk	sing_2699.htm#SEC2775
modrationalInterpolation	sing_2525.htm#SEC2601
modregCM	sing_1331.htm#SEC1407
modsatiety	sing_1329.htm#SEC1405
modstd.lib	sing_1279.htm#SEC1355
modstd_lib	sing_1279.htm#SEC1355
modular	sing_1048.htm#SEC1124
modular methods	sing_1275.htm#IDX590
modular methods 	sing_1277.htm#IDX595
modular methods.	sing_1276.htm#IDX593
modular techniques.	sing_1278.htm#IDX597
modular.lib	sing_1047.htm#SEC1123
modular_lib	sing_1047.htm#SEC1123
modular_lib 	sing_1047.htm#IDX525
module	sing_139.htm#SEC179
module (plural)	sing_435.htm#SEC475
module declarations	sing_140.htm#SEC180
module declarations (plural)	sing_436.htm#SEC476
module expressions	sing_141.htm#SEC181
module expressions (plural)	sing_437.htm#SEC477
module operations	sing_142.htm#SEC182
module operations (plural)	sing_438.htm#SEC478
module ordering C	sing_953.htm#IDX454
module ordering c	sing_953.htm#IDX456
module related functions	sing_143.htm#SEC183
module related functions (plural)	sing_439.htm#SEC479
module_containment	sing_1202.htm#SEC1278
modules.lib	sing_2644.htm#SEC2720
modules_lib	sing_2644.htm#SEC2720
moduliSpace	sing_2836.htm#SEC2912
modulo	sing_300.htm#SEC340
modulo (plural)	sing_470.htm#SEC510
moduloSlim	sing_681.htm#SEC733
modwalk.lib	sing_2697.htm#SEC2773
modwalk_lib	sing_2697.htm#SEC2773
moebius	sing_2303.htm#SEC2379
moebius function	sing_2303.htm#IDX937
molien	sing_1737.htm#SEC1813
mondromy.lib	sing_1675.htm#SEC1751
mondromy_lib	sing_1675.htm#SEC1751
monitor	sing_301.htm#SEC341
monodromy	sing_1623.htm#IDX707
monodromy 	sing_1628.htm#SEC1704
monodromy  	sing_1628.htm#IDX727
monodromy   	sing_1633.htm#IDX762
monodromy    	sing_1645.htm#IDX778
monodromy     	sing_1647.htm#IDX789
monodromyB	sing_1679.htm#SEC1755
monomial	sing_302.htm#SEC342
monomial ordering	sing_1113.htm#IDX539
monomial orderings	sing_901.htm#SEC953
monomial orderings 	sing_950.htm#SEC1002
monomial orderings introduction	sing_949.htm#SEC1001
monomial output	sing_403.htm#SEC443
monomial, write	sing_403.htm#SEC443
monomialInIdeal	sing_737.htm#SEC789
monomialLcm	sing_2053.htm#SEC2129
monomialabortstd	sing_2310.htm#SEC2386
monomialideal.lib	sing_1283.htm#SEC1359
monomialideal_lib	sing_1283.htm#SEC1359
monomials and precedence	sing_420.htm#IDX290
mons2intmat	sing_1372.htm#SEC1448
morsesplit	sing_1586.htm#SEC1662
movingCone	sing_2584.htm#SEC2660
mp_res_mat	sing_1819.htm#SEC1895
mplot	sing_1859.htm#SEC1935
mpresmat	sing_303.htm#SEC343
mprimdec.lib	sing_1300.htm#SEC1376
mprimdec_lib	sing_1300.htm#SEC1376
mregular.lib	sing_1315.htm#SEC1391
mregular_lib	sing_1315.htm#SEC1391
mres	sing_304.htm#SEC344
mres (plural)	sing_471.htm#SEC511
mstd	sing_305.htm#SEC345
msum	sing_58.htm#SEC95
mtriple	sing_57.htm#SEC94
mult	sing_306.htm#SEC346
mult 	sing_420.htm#IDX291
multBound	sing_400.htm#SEC440
multRat	sing_745.htm#SEC797
multarr2arr	sing_2298.htm#SEC2374
multarrMultRestrict	sing_2300.htm#SEC2376
multarrRestrict	sing_2299.htm#SEC2375
multcol	sing_1156.htm#SEC1232
multdivisor	sing_2505.htm#SEC2581
multformaldivisor	sing_2517.htm#SEC2593
multi	sing_2040.htm#SEC2116
multi indices	sing_37.htm#SEC65
multi-graded Hilbert series	sing_860.htm#IDX422
multiDeg	sing_2732.htm#SEC2808
multiDegBasis	sing_2733.htm#SEC2809
multiDegGroebner	sing_2741.htm#SEC2817
multiDegModulo	sing_2743.htm#SEC2819
multiDegPartition	sing_2734.htm#SEC2810
multiDegResolution	sing_2744.htm#SEC2820
multiDegSyzygy	sing_2742.htm#SEC2818
multiDegTensor	sing_2745.htm#SEC2821
multiDegTor	sing_2746.htm#SEC2822
multiarrangement	sing_2294.htm#IDX917
multiarrangement 	sing_2295.htm#IDX919
multiarrangement  	sing_2296.htm#IDX922
multiarrangement   	sing_2297.htm#IDX923
multiarrangement    	sing_2298.htm#IDX926
multiarrangement     	sing_2299.htm#IDX929
multiarrangement      	sing_2300.htm#IDX931
multidimensional_knapsack	sing_2018.htm#SEC2094
multigrading, multidegree, multiweights, multigraded-homogeneous, integral linear algebra	sing_2702.htm#IDX1143
multigrading.lib	sing_2702.htm#IDX1141
multigrading_lib	sing_2702.htm#IDX1142
multipleCover	sing_2842.htm#SEC2918
multiplication	sing_2473.htm#IDX1040
multiplication 	sing_2495.htm#IDX1088
multiplicities, sequence of	sing_1654.htm#IDX801
multiplicity	sing_2448.htm#IDX997
multiplicity sequence	sing_1567.htm#IDX680
multiplicity sequence 	sing_1570.htm#IDX692
multiplicity sequence  	sing_1656.htm#IDX802
multiplyLeftFractions	sing_778.htm#SEC830
multiplylist	sing_1507.htm#SEC1583
multivariate equations	sing_1793.htm#IDX819
multrow	sing_1157.htm#SEC1233
multseq2charexp	sing_1566.htm#SEC1642
multsequence	sing_1656.htm#SEC1732
nBoundaryLatticePoints	sing_2208.htm#SEC2284
nHilbertBasis	sing_2209.htm#SEC2285
nInteriorLatticePoints	sing_2210.htm#SEC2286
nLatticePoints	sing_2211.htm#SEC2287
naccache_stern_decryption	sing_2021.htm#SEC2097
naccache_stern_encryption	sing_2020.htm#SEC2096
naccache_stern_generation	sing_2019.htm#SEC2095
nameof	sing_307.htm#SEC347
names	sing_308.htm#SEC348
nashmult	sing_1574.htm#SEC1650
nblocks	sing_359.htm#IDX221
ncExt_R	sing_714.htm#SEC766
ncHilb.lib	sing_860.htm#SEC912
ncHilb_lib	sing_860.htm#SEC912
ncHom	sing_715.htm#SEC767
ncInit	sing_864.htm#SEC916
ncRelations	sing_682.htm#SEC734
ncVarsAdd	sing_866.htm#SEC918
ncVarsGet	sing_865.htm#SEC917
nc_algebra	sing_472.htm#SEC512
nc_hilb	sing_359.htm#IDX223
ncalg.lib	sing_614.htm#SEC666
ncalg_lib	sing_614.htm#SEC666
ncalgebra	sing_473.htm#SEC513
ncdecomp.lib	sing_641.htm#SEC693
ncdecomp_lib	sing_641.htm#SEC693
ncdetection	sing_608.htm#SEC660
ncfactor	sing_647.htm#SEC699
ncfactor.lib	sing_646.htm#SEC698
ncfactor_lib	sing_646.htm#SEC698
ncfrac.lib	sing_749.htm#SEC801
ncfrac_lib	sing_749.htm#SEC801
nchilb	sing_861.htm#SEC913
nchomolog.lib	sing_713.htm#IDX380
nchomolog_lib	sing_713.htm#IDX381
ncloc.lib	sing_763.htm#SEC815
ncloc_lib	sing_763.htm#SEC815
ncols	sing_309.htm#SEC349
ncones	sing_2155.htm#SEC2231
ncpreim.lib	sing_660.htm#SEC712
ncpreim_lib	sing_660.htm#SEC712
ncrat.lib	sing_863.htm#IDX423
ncratAdd	sing_868.htm#SEC920
ncratDefine	sing_867.htm#SEC919
ncratEvaluateAt	sing_877.htm#SEC929
ncratFromPoly	sing_875.htm#SEC927
ncratFromString	sing_874.htm#SEC926
ncratInvert	sing_871.htm#SEC923
ncratMultiply	sing_870.htm#SEC922
ncratPower	sing_876.htm#SEC928
ncratPrint	sing_873.htm#SEC925
ncratSPrint	sing_872.htm#SEC924
ncratSubstract	sing_869.htm#SEC921
ncrat_lib	sing_863.htm#IDX424
ncrepAdd	sing_879.htm#SEC931
ncrepDim	sing_884.htm#SEC936
ncrepEvaluate	sing_886.htm#SEC938
ncrepEvaluateAt	sing_887.htm#SEC939
ncrepGet	sing_878.htm#SEC930
ncrepGetRegularMinimal	sing_894.htm#SEC946
ncrepGetRegularZeroMinimal	sing_893.htm#SEC945
ncrepInvert	sing_882.htm#SEC934
ncrepIsDefined	sing_889.htm#SEC941
ncrepIsDefinedDim	sing_888.htm#SEC940
ncrepIsRegular	sing_890.htm#SEC942
ncrepMultiply	sing_881.htm#SEC933
ncrepPencilCombine	sing_896.htm#SEC948
ncrepPencilGet	sing_895.htm#SEC947
ncrepPrint	sing_883.htm#SEC935
ncrepRegularMinimize	sing_892.htm#SEC944
ncrepRegularZeroMinimize	sing_891.htm#SEC943
ncrepSubstitute	sing_885.htm#SEC937
ncrepSubstract	sing_880.htm#SEC932
nctools.lib	sing_668.htm#SEC720
nctools_lib	sing_668.htm#SEC720
ndcond	sing_671.htm#SEC723
negateNcfrac	sing_758.htm#SEC810
negatedCone	sing_2133.htm#SEC2209
negation	sing_2472.htm#IDX1039
negative degree lexicographical ordering	sing_952.htm#IDX445
negative degree reverse lexicographical ordering	sing_952.htm#IDX443
negative lexicographical ordering	sing_952.htm#IDX441
negativedivisor	sing_2506.htm#SEC2582
negativeformaldivisor	sing_2516.htm#SEC2592
net	sing_2754.htm#IDX1144
net 	sing_2756.htm#SEC2832
net access	sing_19.htm#IDX40
netBigInt	sing_2762.htm#SEC2838
netBigIntMat	sing_2757.htm#SEC2833
netBigIntMatShort	sing_2758.htm#SEC2834
netCoefficientRing	sing_2759.htm#SEC2835
netIdeal	sing_2760.htm#SEC2836
netInt	sing_2761.htm#SEC2837
netIntMat	sing_2763.htm#SEC2839
netIntMatShort	sing_2764.htm#SEC2840
netIntVector	sing_2765.htm#SEC2841
netIntVectorShort	sing_2766.htm#SEC2842
netList	sing_2768.htm#SEC2844
netMap	sing_2769.htm#SEC2845
netMap2	sing_2770.htm#SEC2846
netMatrix	sing_2679.htm#SEC2755
netNumber	sing_2767.htm#SEC2843
netPoly	sing_2773.htm#SEC2849
netPrimePower	sing_2774.htm#SEC2850
netRing	sing_2775.htm#SEC2851
netString	sing_2776.htm#SEC2852
netVector	sing_2678.htm#SEC2754
netmatrix	sing_2771.htm#SEC2847
netmatrixShort	sing_2772.htm#SEC2848
nets.lib	sing_2754.htm#SEC2830
nets_lib	sing_2754.htm#SEC2830
netvector	sing_2777.htm#SEC2853
netvectorShort	sing_2778.htm#SEC2854
newTest	sing_1960.htm#SEC2036
newline	sing_172.htm#SEC212
news	sing_2865.htm#SEC2941
newstruct	sing_183.htm#SEC223
newstruct 	sing_2317.htm#IDX953
newtonDiag	sing_1074.htm#SEC1150
newtonPolygonNegSlopes	sing_2858.htm#SEC2934
newtonPolytope	sing_2159.htm#SEC2235
newtonPolytopeLP	sing_2165.htm#SEC2241
newtonPolytopeP	sing_2164.htm#SEC2240
newtonpoly	sing_1661.htm#SEC1737
nf_icis	sing_1702.htm#SEC1778
nfmodStd	sing_2782.htm#SEC2858
nfmodSyz	sing_2784.htm#SEC2860
nfmodstd.lib	sing_2780.htm#SEC2856
nfmodstd_lib	sing_2780.htm#SEC2856
nfmodsyz.lib	sing_2783.htm#SEC2859
nfmodsyz_lib	sing_2783.htm#SEC2859
nilpotent Lie algebras	sing_1460.htm#IDX632
nmaxcones	sing_2154.htm#SEC2230
noether	sing_401.htm#SEC441
noether.lib	sing_1323.htm#SEC1399
noetherNormal	sing_1209.htm#SEC1285
noether_lib	sing_1323.htm#SEC1399
non-english special characters	sing_409.htm#IDX286
nonMonomials	sing_1376.htm#SEC1452
nonZeroEntry	sing_1212.htm#SEC1288
noncommutative, rational expressions	sing_863.htm#IDX425
none, option	sing_316.htm#IDX150
norTest	sing_1343.htm#SEC1419
norm	sing_2039.htm#SEC2115
normaform (up to a bound)	sing_359.htm#IDX246
normal	sing_1333.htm#SEC1409
normal bundle, graph, rational curves, mutiple covers, lines on	sing_2841.htm#IDX1209
normal form	sing_959.htm#IDX457
normal.lib	sing_1332.htm#SEC1408
normalBundle	sing_2841.htm#SEC2917
normalC	sing_1335.htm#SEC1411
normalConductor	sing_1347.htm#SEC1423
normalFan	sing_2212.htm#SEC2288
normalForm	sing_2507.htm#SEC2583
normalI	sing_1420.htm#SEC1496
normalP	sing_1334.htm#SEC1410
normalToricRing	sing_1350.htm#SEC1426
normalToricRingFromBinomials	sing_1351.htm#SEC1427
normal_lib	sing_1332.htm#SEC1408
normalform	sing_1590.htm#SEC1666
normalform 	sing_2431.htm#IDX985
normaliz	sing_1.htm#IDX14
normaliz 	sing_1363.htm#SEC1439
normaliz.lib	sing_1348.htm#SEC1424
normaliz_lib	sing_1348.htm#SEC1424
normalization	sing_1275.htm#IDX588
normalization 	sing_1276.htm#IDX591
normalization  	sing_1277.htm#IDX594
normalization   	sing_1278.htm#IDX596
normalization    	sing_1333.htm#IDX600
normalization     	sing_1334.htm#IDX603
normalization      	sing_1335.htm#IDX606
normalization       	sing_1347.htm#IDX612
normalization        	sing_1348.htm#IDX614
normalization         	sing_2447.htm#IDX995
normalization.	sing_1272.htm#IDX587
normalization. 	sing_1467.htm#IDX654
normalize	sing_1067.htm#SEC1143
normalizeMonoidal	sing_784.htm#SEC836
normalizeRational	sing_785.htm#SEC837
not	sing_101.htm#SEC141
not equal	sing_2476.htm#IDX1047
not equal 	sing_2497.htm#IDX1094
notBuckets, option	sing_316.htm#IDX160
notRegularity, option	sing_316.htm#IDX158
notSugar, option	sing_316.htm#IDX159
notWarnSB, option	sing_316.htm#IDX181
npar	sing_1945.htm#SEC2021
npars	sing_310.htm#SEC350
nrRootsDeterm	sing_2070.htm#SEC2146
nrRootsProbab	sing_2069.htm#SEC2145
nres	sing_311.htm#SEC351
nres (plural)	sing_474.htm#SEC514
nrows	sing_312.htm#SEC352
nrroots	sing_2099.htm#SEC2175
nsatiety	sing_1328.htm#SEC1404
nselect	sing_1228.htm#SEC1304
nt_solve	sing_1834.htm#SEC1910
ntsolve.lib	sing_1833.htm#SEC1909
ntsolve_lib	sing_1833.htm#SEC1909
number	sing_144.htm#SEC184
number 	sing_2271.htm#IDX877
number declarations	sing_145.htm#SEC185
number expressions	sing_146.htm#SEC186
number operations	sing_147.htm#SEC187
number related functions	sing_148.htm#SEC188
numberOfConesOfDimension	sing_2156.htm#SEC2232
number_e	sing_1003.htm#SEC1079
number_pi	sing_1004.htm#SEC1080
numerAlg.lib	sing_1442.htm#IDX621
numerAlg_lib	sing_1442.htm#IDX622
numerAlg_lib 	sing_1447.htm#IDX631
numerDecom.lib	sing_1447.htm#IDX625
numerDecom_lib	sing_1442.htm#IDX624
numerDecom_lib 	sing_1447.htm#IDX626
numerator	sing_313.htm#SEC353
numerical irreducible decomposition	sing_1447.htm#IDX627
nvars	sing_314.htm#SEC354
olga.lib	sing_767.htm#SEC819
olga_lib	sing_767.htm#SEC819
oneDimBelongSemigroup	sing_1219.htm#SEC1295
oneNcfrac	sing_755.htm#SEC807
onesVector	sing_2161.htm#SEC2237
online help	sing_16.htm#SEC22
open	sing_315.htm#SEC355
opentex	sing_1862.htm#SEC1938
operatorAlgebra	sing_812.htm#SEC864
operatorBM	sing_542.htm#SEC594
operatorModulo	sing_543.htm#SEC595
oppose	sing_475.htm#SEC515
opposite	sing_476.htm#SEC516
opposite polynomial	sing_359.htm#IDX231
opposite ring	sing_359.htm#IDX228
option	sing_316.htm#SEC356
option(warn)	sing_70.htm#SEC110
optionIsSet	sing_1110.htm#SEC1186
or	sing_101.htm#SEC141
or 	sing_413.htm#SEC453
orbit	sing_1460.htm#IDX634
orbit 	sing_1461.htm#IDX638
orbit  	sing_1464.htm#IDX643
orbit   	sing_1465.htm#IDX646
orbitConeOrbits	sing_2587.htm#SEC2663
orbitCones	sing_2578.htm#SEC2654
orbit_variety	sing_1761.htm#SEC1837
orbitparam.lib	sing_1460.htm#SEC1536
orbitparam_lib	sing_1460.htm#SEC1536
ord	sing_317.htm#SEC357
ord_test	sing_1105.htm#SEC1181
order ideal, border basis	sing_2805.htm#IDX1181
order ideal, border basis 	sing_2806.htm#IDX1182
ordering	sing_2461.htm#IDX1016
ordering 	sing_2477.htm#IDX1050
ordering  	sing_2478.htm#IDX1053
orderings	sing_950.htm#SEC1002
orderings introduction	sing_949.htm#SEC1001
orderings, L	sing_957.htm#SEC1009
orderings, M	sing_954.htm#SEC1006
orderings, a	sing_956.htm#SEC1008
orderings, global	sing_951.htm#SEC1003
orderings, local	sing_952.htm#SEC1004
orderings, product	sing_955.htm#SEC1007
ordstr	sing_318.htm#SEC358
origin	sing_2104.htm#SEC2180
orthogonalize	sing_1175.htm#SEC1251
outer	sing_1146.htm#SEC1222
output	sing_41.htm#SEC71
outputting monomials	sing_403.htm#SEC443
p-adic numbers	sing_32.htm#SEC46
pFactor	sing_1994.htm#SEC2070
pIntersect	sing_506.htm#SEC558
pIntersectSyz	sing_507.htm#SEC559
package	sing_149.htm#SEC189
package declarations	sing_150.htm#SEC190
package related functions	sing_151.htm#SEC191
pairset	sing_2059.htm#SEC2135
par	sing_319.htm#SEC359
par2varRing	sing_987.htm#SEC1063
paraConic	sing_1475.htm#SEC1551
paraPlaneCurve	sing_1469.htm#SEC1545
parallel skeletons	sing_1049.htm#IDX531
parallel.lib	sing_1049.htm#SEC1125
parallelTestAND	sing_1053.htm#SEC1129
parallelTestOR	sing_1054.htm#SEC1130
parallelWaitAll	sing_1052.htm#SEC1128
parallelWaitFirst	sing_1051.htm#SEC1127
parallelWaitN	sing_1050.htm#SEC1126
parallel_lib	sing_1049.htm#SEC1125
parallelization	sing_1049.htm#IDX530
parallelization 	sing_1089.htm#IDX533
parallelization  	sing_1122.htm#IDX543
param	sing_1652.htm#SEC1728
parameter, as numbers	sing_144.htm#SEC184
parameterSubstitute	sing_2252.htm#SEC2328
parametric annihilator	sing_535.htm#IDX335
parametric annihilator for variety	sing_599.htm#IDX365
parametric ideal	sing_1015.htm#IDX463
parametric ideal 	sing_1022.htm#IDX482
parametric ideal  	sing_1022.htm#IDX484
parametric ideal   	sing_1023.htm#IDX489
parametrization	sing_1460.htm#IDX635
parametrization 	sing_1464.htm#IDX644
parametrization  	sing_1652.htm#IDX796
parametrizeOrbit	sing_1464.htm#SEC1540
paraplanecurves.lib	sing_1466.htm#SEC1542
paraplanecurves_lib	sing_1466.htm#SEC1542
pardeg	sing_320.htm#SEC360
parstr	sing_321.htm#SEC361
part	sing_2407.htm#SEC2483
partOver	sing_2410.htm#SEC2486
partUnder	sing_2411.htm#SEC2487
partial_molien	sing_1739.htm#SEC1815
partitions	sing_1240.htm#SEC1316
partitions 	sing_1240.htm#IDX576
path integral	sing_1232.htm#IDX563
pause	sing_1046.htm#SEC1122
pdivi	sing_1017.htm#SEC1093
pdivi 	sing_1018.htm#IDX473
pdivisorplus	sing_2521.htm#SEC2597
permcol	sing_1158.htm#SEC1234
permrow	sing_1159.htm#SEC1235
permutationFromIntvec	sing_2593.htm#SEC2669
permutationToIntvec	sing_2594.htm#SEC2670
permutations	sing_1241.htm#IDX577
permutations, sum, max, min	sing_2442.htm#IDX987
permute	sing_1241.htm#SEC1317
permute_L	sing_1897.htm#SEC1973
perron	sing_694.htm#SEC746
perron.lib	sing_693.htm#SEC745
perron_lib	sing_693.htm#SEC745
phindex.lib	sing_2312.htm#IDX944
phindex_lib	sing_2312.htm#IDX945
picksFormula	sing_2174.htm#SEC2250
pid	sing_359.htm#IDX240
plainInvariants	sing_1611.htm#SEC1687
planeCur	sing_2429.htm#SEC2505
plot	sing_1875.htm#SEC1951
plotRot	sing_1879.htm#SEC1955
plotRotated	sing_1878.htm#SEC1954
plotRotatedDirect	sing_1881.htm#SEC1957
plotRotatedList	sing_1880.htm#SEC1956
plotRotatedListFromSpecifyList	sing_1882.htm#SEC1958
plural	sing_1112.htm#IDX538
pmat	sing_1040.htm#SEC1116
pnormalf	sing_1018.htm#SEC1094
pointid.lib	sing_1375.htm#SEC1451
pointid_lib	sing_1375.htm#SEC1451
polSol	sing_729.htm#SEC781
polSolFiniteRank	sing_730.htm#SEC782
pollTask	sing_1132.htm#SEC1208
poly	sing_152.htm#SEC192
poly (plural)	sing_440.htm#SEC480
poly declarations	sing_153.htm#SEC193
poly declarations (plural)	sing_441.htm#SEC481
poly expressions	sing_154.htm#SEC194
poly expressions (plural)	sing_442.htm#SEC482
poly operations	sing_155.htm#SEC195
poly operations (plural)	sing_443.htm#SEC483
poly related functions	sing_156.htm#SEC196
poly related functions (plural)	sing_444.htm#SEC484
poly.lib	sing_1055.htm#SEC1131
poly2list	sing_584.htm#SEC636
poly2zdd	sing_2333.htm#SEC2409
polyInterpolation	sing_2524.htm#SEC2600
polyVars	sing_736.htm#SEC788
poly_lib	sing_1055.htm#SEC1131
polybori	sing_2317.htm#IDX949
polybori.lib	sing_2317.htm#IDX946
polybori.lib 	sing_2317.htm#IDX950
polybori_lib	sing_2317.htm#IDX947
polymake	sing_2162.htm#IDX850
polymake.lib	sing_2162.htm#SEC2238
polymakePolytope	sing_2163.htm#SEC2239
polymake_lib	sing_2162.htm#SEC2238
polynomial	sing_2488.htm#IDX1075
polynomial solutions	sing_723.htm#IDX393
polynomial, opposite	sing_359.htm#IDX232
polytope	sing_191.htm#SEC231
polytope 	sing_2162.htm#IDX846
polytopeViaInequalities	sing_2134.htm#SEC2210
polytopeViaPoints	sing_2135.htm#SEC2211
pos_def	sing_1186.htm#SEC1262
poset	sing_2302.htm#IDX935
positiveOrthant	sing_2105.htm#SEC2181
posweight	sing_1719.htm#SEC1795
powSumSym	sing_2364.htm#SEC2440
power	sing_1147.htm#SEC1223
power set	sing_2444.htm#IDX989
powerN	sing_1978.htm#SEC2054
powerX	sing_1987.htm#SEC2063
power_products	sing_1753.htm#SEC1829
powerpolyX	sing_1957.htm#SEC2033
powersums	sing_2080.htm#SEC2156
preComp	sing_1311.htm#SEC1387
preimage	sing_322.htm#SEC362
preimage 	sing_660.htm#IDX368
preimage (plural)	sing_477.htm#SEC517
preimage under a map between local rings, map between local rings, map between local and global rings	sing_1108.htm#IDX536
preimageLattice	sing_2722.htm#SEC2798
preimageLoc	sing_1108.htm#SEC1184
preimageNC	sing_662.htm#SEC714
prepEmbDiv	sing_1537.htm#SEC1613
prepMat	sing_1790.htm#SEC1866
prepRealclassify	sing_1595.htm#SEC1671
prepSV	sing_1892.htm#SEC1968
prepareAss	sing_1394.htm#SEC1470
presentTree	sing_1524.htm#SEC1600
presentation	sing_2680.htm#SEC2756
presolve.lib	sing_1800.htm#SEC1876
presolve_lib	sing_1800.htm#SEC1876
primL	sing_1982.htm#SEC2058
primList	sing_1981.htm#SEC2057
primRoot	sing_1434.htm#SEC1510
primTest	sing_1310.htm#SEC1386
primary decomposition	sing_1379.htm#IDX616
primary decomposition 	sing_1402.htm#IDX617
primary decomposition of modules	sing_1300.htm#IDX598
primary decomposition, numerical	sing_1447.htm#IDX629
primary_char0	sing_1743.htm#SEC1819
primary_char0_no_molien	sing_1745.htm#SEC1821
primary_char0_no_molien_random	sing_1750.htm#SEC1826
primary_char0_random	sing_1748.htm#SEC1824
primary_charp	sing_1744.htm#SEC1820
primary_charp_no_molien	sing_1746.htm#SEC1822
primary_charp_no_molien_random	sing_1751.htm#SEC1827
primary_charp_random	sing_1749.htm#SEC1825
primary_charp_without	sing_1747.htm#SEC1823
primary_charp_without_random	sing_1752.htm#SEC1828
primary_invariants	sing_1731.htm#SEC1807
primary_invariants_random	sing_1732.htm#SEC1808
primdec.lib	sing_1379.htm#SEC1455
primdecGTZ	sing_1381.htm#SEC1457
primdecGTZE	sing_1382.htm#SEC1458
primdecMon	sing_1299.htm#SEC1375
primdecSY	sing_1383.htm#SEC1459
primdecSYE	sing_1384.htm#SEC1460
primdecZ	sing_1403.htm#SEC1479
primdecZM	sing_1404.htm#SEC1480
primdec_lib	sing_1379.htm#SEC1455
primdecint.lib	sing_1402.htm#SEC1478
primdecint_lib	sing_1402.htm#SEC1478
prime	sing_323.htm#SEC363
primeClosure	sing_1338.htm#SEC1414
primecoeffs	sing_1010.htm#SEC1086
primefactors	sing_324.htm#SEC364
primes	sing_1005.htm#SEC1081
primitiv.lib	sing_1410.htm#SEC1486
primitiv_lib	sing_1410.htm#SEC1486
primitive	sing_1411.htm#SEC1487
primitive element	sing_1411.htm#IDX618
primitiveSpan	sing_2729.htm#SEC2805
primitive_extra	sing_1412.htm#SEC1488
primparam	sing_1606.htm#SEC1682
principal intersection	sing_500.htm#IDX319
print	sing_325.htm#SEC365
print 	sing_2269.htm#IDX870
print  	sing_2465.htm#IDX1025
print   	sing_2467.htm#IDX1030
print    	sing_2468.htm#IDX1031
print     	sing_2490.htm#IDX1079
print      	sing_2491.htm#IDX1080
printBetti	sing_2661.htm#SEC2737
printFreeModule	sing_2653.htm#SEC2729
printGraph	sing_1234.htm#SEC1310
printGraphG	sing_2835.htm#SEC2911
printGroup	sing_2710.htm#SEC2786
printHom	sing_2656.htm#SEC2732
printMatrix	sing_2652.htm#SEC2728
printModule	sing_2655.htm#SEC2731
printMoebius	sing_2308.htm#SEC2384
printResolution	sing_2654.htm#SEC2730
printSheaf	sing_2823.htm#SEC2899
printStack	sing_2837.htm#SEC2913
printTask	sing_1127.htm#SEC1203
printVariety	sing_2815.htm#SEC2891
printf	sing_326.htm#SEC366
printlevel	sing_402.htm#SEC442
proc	sing_157.htm#SEC197
proc declaration	sing_158.htm#SEC198
proc expression	sing_159.htm#SEC199
procedure, ASCII help	sing_56.htm#IDX125
procedure, ASCII/Texinfo help	sing_58.htm#IDX127
procedure, texinfo help	sing_57.htm#IDX126
procedures, help string	sing_45.htm#SEC82
procedures, static	sing_43.htm#SEC78
procs with different argument types	sing_160.htm#SEC200
prodcrit	sing_2057.htm#SEC2133
product	sing_1006.htm#SEC1082
product 	sing_2473.htm#IDX1041
product  	sing_2495.htm#IDX1089
product variety, abstract variety	sing_2816.htm#IDX1197
productVariety	sing_2816.htm#SEC2892
productgroup	sing_2731.htm#SEC2807
progress watch	sing_316.htm#IDX163
projectLattice	sing_2723.htm#SEC2799
projective bundle, abstract variety, sheaf, enumeration of conics	sing_2820.htm#IDX1201
projective dimension	sing_701.htm#IDX377
projective limes	sing_32.htm#SEC46
projective space, abstract variety	sing_2819.htm#IDX1200
projectiveBundle	sing_2820.htm#SEC2896
projectiveDimension	sing_702.htm#SEC754
projectiveSpace	sing_2819.htm#SEC2895
prompt	sing_15.htm#SEC21
prompt, option	sing_316.htm#IDX182
propagator	sing_1232.htm#IDX561
propagator 	sing_1235.htm#SEC1311
prot, option	sing_316.htm#IDX161
protocol of computations	sing_316.htm#IDX162
proximitymatrix	sing_1565.htm#SEC1641
prune	sing_327.htm#SEC367
pruneModule	sing_2687.htm#SEC2763
prwalk	sing_2810.htm#SEC2886
psigncnd	sing_1853.htm#SEC1929
puiseux2generators	sing_1664.htm#SEC1740
puiseuxExpansion	sing_2223.htm#SEC2299
pure tensor	sing_493.htm#IDX307
purelist	sing_712.htm#SEC764
purity	sing_701.htm#IDX379
purityFiltration	sing_703.htm#SEC755
purityTriang	sing_704.htm#SEC756
purityfiltration.lib	sing_701.htm#IDX372
purityfiltration_lib	sing_701.htm#IDX373
pushForward	sing_2748.htm#SEC2824
pwalk	sing_1248.htm#SEC1324
pyobject	sing_192.htm#SEC232
pyobject 	sing_2317.htm#IDX952
pyobject declarations	sing_193.htm#SEC233
pyobject expressions	sing_194.htm#SEC234
pyobject operations	sing_195.htm#SEC235
pyobject related functions	sing_196.htm#SEC236
pyramid	sing_2542.htm#SEC2618
python_eval	sing_197.htm#SEC237
python_import	sing_198.htm#SEC238
python_run	sing_199.htm#SEC239
qbase	sing_2083.htm#SEC2159
qepcad	sing_2552.htm#SEC2628
qepcadsystem	sing_2553.htm#SEC2629
qhmatrix	sing_1717.htm#SEC1793
qhmoduli.lib	sing_1681.htm#SEC1757
qhmoduli_lib	sing_1681.htm#SEC1757
qhspectrum	sing_1704.htm#SEC1780
qhweight	sing_328.htm#SEC368
qmatrix.lib	sing_695.htm#SEC747
qmatrix_lib	sing_695.htm#SEC747
qminor	sing_697.htm#SEC749
qrds	sing_329.htm#SEC369
qring	sing_166.htm#SEC206
qring 	sing_420.htm#IDX295
qring (plural)	sing_445.htm#SEC485
qring declaration	sing_170.htm#SEC210
qring declaration (plural)	sing_446.htm#SEC486
qring related functions (plural)	sing_447.htm#SEC487
qring ring ideal 'factor ring'	sing_1117.htm#IDX542
qringNF, option	sing_316.htm#IDX164
qslimgb	sing_986.htm#SEC1062
quadraticSieve	sing_1995.htm#SEC2071
quantMat	sing_696.htm#SEC748
quickclass	sing_1587.htm#SEC1663
quit	sing_392.htm#SEC432
quotSheaf	sing_2832.htm#SEC2908
quote	sing_330.htm#SEC370
quotient	sing_331.htm#SEC371
quotient (plural)	sing_478.htm#SEC518
quotientLatticeBasis	sing_2136.htm#SEC2212
quotientMain	sing_1845.htm#SEC1921
quotientMon	sing_1290.htm#SEC1366
rHRR	sing_2404.htm#SEC2480
rJanet	sing_2807.htm#SEC2883
rMacaulay	sing_1041.htm#SEC1117
rad_con	sing_1068.htm#SEC1144
radical	sing_1391.htm#SEC1467
radicalEHV	sing_1392.htm#SEC1468
radicalMemberShip	sing_2245.htm#SEC2321
radicalMon	sing_1291.htm#SEC1367
radicalZ	sing_1406.htm#SEC1482
randcharpoly	sing_2077.htm#SEC2153
randlinpoly	sing_2079.htm#SEC2155
random	sing_332.htm#SEC372
random 	sing_359.htm#IDX244
random  	sing_2290.htm#IDX909
random   	sing_2291.htm#IDX911
random number generator, seed	sing_359.htm#IDX242
random.lib	sing_1076.htm#SEC1152
randomBinomial	sing_1088.htm#SEC1164
randomCheck	sing_1908.htm#SEC1984
randomLast	sing_1087.htm#SEC1163
randomPoint	sing_2137.htm#SEC2213
randomPolyInT	sing_2254.htm#SEC2330
random_lib	sing_1076.htm#SEC1152
randomid	sing_1078.htm#SEC1154
randommat	sing_1079.htm#SEC1155
rank	sing_210.htm#IDX137
rank 	sing_333.htm#SEC373
rankSheaf	sing_2824.htm#SEC2900
ratSol	sing_731.htm#SEC783
ratgb.lib	sing_721.htm#IDX382
ratgb_lib	sing_721.htm#IDX383
rational curves, rational parametrization of rational curves.	sing_1469.htm#IDX656
rational functions	sing_863.htm#IDX426
rational normal curve, projection.	sing_1470.htm#IDX657
rational normal curve, projection. 	sing_1473.htm#IDX658
rational normal curve, projection.  	sing_1474.htm#IDX659
rational solutions	sing_723.htm#IDX394
rational univariate projection	sing_2077.htm#IDX843
rationalCurve	sing_2844.htm#SEC2920
rationalPointConic	sing_1471.htm#SEC1547
ratstd	sing_722.htm#SEC774
rays	sing_2138.htm#SEC2214
rcolon	sing_862.htm#SEC914
re2squ	sing_1448.htm#SEC1524
read	sing_334.htm#SEC374
readNmzData	sing_1366.htm#SEC1442
reading, option	sing_316.htm#IDX183
readline	sing_1.htm#IDX5
real	sing_28.htm#IDX74
real root isolation	sing_2791.htm#IDX1176
real roots, univariate polynomial	sing_2084.htm#IDX845
real roots, univariate projection	sing_2068.htm#IDX841
real roots,sign conditions	sing_1851.htm#IDX821
realclassify	sing_2786.htm#SEC2862
realclassify.lib	sing_2785.htm#SEC2861
realclassify_lib	sing_2785.htm#SEC2861
realizationDim	sing_2217.htm#SEC2293
realizationDimPoly	sing_2219.htm#SEC2295
realizationMatroids.lib	sing_2216.htm#SEC2292
realizationMatroids_lib	sing_2216.htm#SEC2292
realmorsesplit	sing_2787.htm#SEC2863
realpoly	sing_1415.htm#SEC1491
realrad	sing_1417.htm#SEC1493
realrad.lib	sing_1414.htm#SEC1490
realrad_lib	sing_1414.htm#SEC1490
realzero	sing_1416.htm#SEC1492
recursive_boolean_poly	sing_2323.htm#SEC2399
recursive_from_boolean_poly	sing_2329.htm#SEC2405
redSB, option	sing_316.htm#IDX165
redTail, option	sing_316.htm#IDX167
redThrough, option	sing_316.htm#IDX168
redefine, option	sing_316.htm#IDX184
reduce	sing_335.htm#SEC375
reduce 	sing_514.htm#IDX324
reduce  	sing_1017.htm#IDX471
reduce   	sing_1018.htm#IDX474
reduce (letterplace)	sing_795.htm#SEC847
reduce (plural)	sing_479.htm#SEC519
reduce (up to a bound)	sing_359.htm#IDX245
reduceIntChain	sing_2692.htm#SEC2768
reduced	sing_1016.htm#IDX468
reduced standard basis	sing_316.htm#IDX166
reduction	sing_1769.htm#SEC1845
reesclos.lib	sing_1418.htm#SEC1494
reesclos_lib	sing_1418.htm#SEC1494
reference	sing_200.htm#SEC240
reference declarations	sing_201.htm#SEC241
reference expressions	sing_202.htm#SEC242
reference operations	sing_205.htm#SEC245
reference related functions	sing_206.htm#SEC246
regCM	sing_1330.htm#SEC1406
regIdeal	sing_1316.htm#SEC1392
regMonCurve	sing_1319.htm#SEC1395
regularity	sing_336.htm#SEC376
regularity 	sing_961.htm#SEC1018
reiffen	sing_553.htm#SEC605
rel_orbit_variety	sing_1762.htm#SEC1838
relations	sing_693.htm#IDX371
relativeInteriorPoint	sing_2139.htm#SEC2215
relative_orbit_variety	sing_1763.htm#SEC1839
relweight	sing_1718.htm#SEC1794
remainder	sing_1838.htm#SEC1914
remainderMain	sing_1846.htm#SEC1922
removeCone	sing_2157.htm#SEC2233
removepower	sing_1575.htm#SEC1651
repart	sing_337.htm#SEC377
replace	sing_1947.htm#SEC2023
representation, math objects	sing_947.htm#SEC999
res	sing_338.htm#SEC378
resbinomial.lib	sing_1478.htm#IDX662
resbinomial_lib	sing_1478.htm#IDX663
reservedName	sing_339.htm#SEC379
resfunction	sing_1492.htm#SEC1568
resgraph.lib	sing_1510.htm#SEC1586
resgraph_lib	sing_1510.htm#SEC1586
resjung.lib	sing_1514.htm#SEC1590
resjung_lib	sing_1514.htm#SEC1590
reslist	sing_1506.htm#SEC1582
resolution	sing_161.htm#SEC201
resolution 	sing_701.htm#IDX378
resolution (plural)	sing_448.htm#SEC488
resolution declarations	sing_162.htm#SEC202
resolution declarations (plural)	sing_449.htm#SEC489
resolution expressions	sing_163.htm#SEC203
resolution expressions (plural)	sing_450.htm#SEC490
resolution graph	sing_1560.htm#IDX676
resolution related functions	sing_164.htm#SEC204
resolution related functions (plural)	sing_451.htm#SEC491
resolution, La Scala's method	sing_289.htm#SEC329
resolution, computation of	sing_338.htm#IDX186
resolution, hilbert-driven	sing_264.htm#SEC304
resolutionInLocalization	sing_2572.htm#SEC2648
resolutiongraph	sing_1561.htm#SEC1637
resolve	sing_1522.htm#SEC1598
resolve.lib	sing_1518.htm#SEC1594
resolve_lib	sing_1518.htm#SEC1594
resources.lib	sing_1089.htm#SEC1165
resources_lib	sing_1089.htm#SEC1165
restriction	sing_2283.htm#IDX897
restriction 	sing_2299.htm#IDX930
restriction  	sing_2300.htm#IDX932
restriction of	sing_558.htm#IDX347
restrictionIdeal	sing_568.htm#SEC620
restrictionModule	sing_569.htm#SEC621
resultant	sing_303.htm#SEC343
resultant 	sing_340.htm#SEC380
reszeta.lib	sing_1531.htm#SEC1607
reszeta_lib	sing_1531.htm#SEC1607
return	sing_393.htm#SEC433
return type of procedures	sing_418.htm#SEC458
returnSB, option	sing_316.htm#IDX152
reverse	sing_2098.htm#SEC2174
reverse lexicographical ordering	sing_951.htm#IDX432
reynolds_molien	sing_1738.htm#SEC1814
rho	sing_1989.htm#SEC2065
rightInverse	sing_1927.htm#SEC2003
rightKernel	sing_1925.htm#SEC2001
rightModulo	sing_680.htm#SEC732
rightNF	sing_679.htm#SEC731
rightNFWeyl	sing_748.htm#SEC800
rightOre	sing_774.htm#SEC826
rightStd	sing_678.htm#SEC730
rightstd (letterplace)	sing_796.htm#SEC848
ring	sing_165.htm#SEC205
ring (plural)	sing_452.htm#SEC492
ring coefficients	sing_1115.htm#IDX540
ring coefficients 	sing_1116.htm#IDX541
ring declarations	sing_167.htm#SEC207
ring declarations (plural)	sing_453.htm#SEC493
ring operations	sing_169.htm#SEC209
ring operations (plural)	sing_454.htm#SEC494
ring related functions	sing_168.htm#SEC208
ring related functions (plural)	sing_455.htm#SEC495
ring theory	sing_840.htm#IDX407
ring, opposite	sing_359.htm#IDX229
ring.lib	sing_1094.htm#SEC1170
ring_cf	sing_210.htm#IDX138
ring_lib	sing_1094.htm#SEC1170
ring_list	sing_342.htm#SEC382
ring_variable	sing_2270.htm#IDX874
ring_variable 	sing_2271.htm#IDX876
ring_variable  	sing_2272.htm#IDX880
ring_variable   	sing_2273.htm#IDX882
ringlist	sing_341.htm#SEC381
ringlist (plural)	sing_480.htm#SEC520
ringtensor	sing_1106.htm#SEC1182
ringweights	sing_1107.htm#SEC1183
rinvar.lib	sing_1774.htm#SEC1850
rinvar_lib	sing_1774.htm#SEC1850
rmNmzFiles	sing_1371.htm#SEC1447
rm_unitcol	sing_1164.htm#SEC1240
rm_unitrow	sing_1163.htm#SEC1239
rmx	sing_1872.htm#SEC1948
rncAntiCanonicalMap	sing_1470.htm#SEC1546
rncItProjEven	sing_1474.htm#SEC1550
rncItProjOdd	sing_1473.htm#SEC1549
root of Bernstein-Sato polynomial	sing_535.htm#IDX336
rootIsolation	sing_2802.htm#SEC2878
rootIsolationNoPreprocessing	sing_2801.htm#SEC2877
rootIsolationPrimdec	sing_2803.htm#SEC2879
rootisolation.lib	sing_2791.htm#SEC2867
rootisolation_lib	sing_2791.htm#SEC2867
rootofUnity	sing_1109.htm#SEC1185
roots	sing_1839.htm#SEC1915
rootsMain	sing_1847.htm#SEC1923
rootsModp	sing_1971.htm#SEC2047
rootsmr.lib	sing_2068.htm#SEC2144
rootsmr_lib	sing_2068.htm#SEC2144
rootsur.lib	sing_2084.htm#SEC2160
rootsur_lib	sing_2084.htm#SEC2160
round	sing_1969.htm#SEC2045
rowShift	sing_210.htm#IDX141
rowShift 	sing_212.htm#SEC252
rowred	sing_1160.htm#SEC1236
rp, global ordering	sing_951.htm#IDX431
rstandard.lib	sing_2804.htm#SEC2880
rstandard_lib	sing_2804.htm#SEC2880
rswalk	sing_2854.htm#SEC2930
rtimer	sing_406.htm#SEC446
rvalue	sing_412.htm#SEC452
rvar	sing_343.htm#SEC383
rwalk	sing_2811.htm#SEC2887
rwalk.lib	sing_2809.htm#SEC2885
rwalk_lib	sing_2809.htm#SEC2885
sRes	sing_2658.htm#SEC2734
sa_poly_reduce	sing_523.htm#SEC575
sa_reduce	sing_522.htm#SEC574
sagbi	sing_1424.htm#SEC1500
sagbi basis	sing_2432.htm#IDX986
sagbi.lib	sing_1421.htm#SEC1497
sagbiAlg	sing_2425.htm#SEC2501
sagbiMod	sing_2426.htm#SEC2502
sagbiPart	sing_1425.htm#SEC1501
sagbiReduce	sing_1423.htm#SEC1499
sagbiSPoly	sing_1422.htm#SEC1498
sagbi_lib	sing_1421.htm#SEC1497
salida	sing_1503.htm#SEC1579
sameComponent	sing_2051.htm#SEC2127
sameQ	sing_1850.htm#SEC1926
sat	sing_1229.htm#SEC1305
satiety	sing_1318.htm#SEC1394
satstd	sing_2311.htm#SEC2387
sba	sing_344.htm#SEC384
scalarProd	sing_512.htm#SEC564
scheme	sing_2533.htm#SEC2609
schubert.lib	sing_2813.htm#SEC2889
schubert_lib	sing_2813.htm#SEC2889
sdb, source code debugger	sing_66.htm#SEC103
second degree	sing_1033.htm#IDX519
secondary fan	sing_2162.htm#IDX848
secondary polytope	sing_2162.htm#IDX849
secondaryPolytope	sing_2167.htm#SEC2243
secondary_and_irreducibles_no_molien	sing_1759.htm#SEC1835
secondary_char0	sing_1754.htm#SEC1830
secondary_charp	sing_1756.htm#SEC1832
secondary_no_molien	sing_1757.htm#SEC1833
secondary_not_cohen_macaulay	sing_1760.htm#SEC1836
segre	sing_2359.htm#SEC2435
select	sing_1230.htm#SEC1306
select1	sing_1231.htm#SEC1307
semaphore	sing_359.htm#IDX249
semaphore 	sing_1093.htm#SEC1169
semaphores	sing_1089.htm#IDX535
semi-prime ideal	sing_840.htm#IDX412
semiCMcod2	sing_1715.htm#SEC1791
semiGroup	sing_2427.htm#SEC2503
semiMod	sing_2428.htm#SEC2504
semidiv	sing_2043.htm#SEC2119
semigroup	sing_1564.htm#SEC1640
semigroup 	sing_1568.htm#IDX683
semigroup of values	sing_1654.htm#IDX798
semigroupGenerator	sing_2140.htm#SEC2216
sep	sing_1401.htm#SEC1477
separateHNE	sing_1665.htm#SEC1741
separator	sing_1301.htm#SEC1377
serreRelations	sing_813.htm#SEC865
set	sing_2265.htm#IDX860
setBaseMultigrading	sing_2703.htm#SEC2779
setLetterplaceAttributes	sing_859.htm#SEC911
setLinearForms	sing_2141.htm#SEC2217
setModuleGrading	sing_2715.htm#SEC2791
setMultiplicity	sing_2142.htm#SEC2218
setNmzDataPath	sing_1368.htm#SEC1444
setNmzExecPath	sing_1364.htm#SEC1440
setNmzFilename	sing_1367.htm#SEC1443
setNmzOption	sing_1361.htm#SEC1437
setUniformizingParameter	sing_2856.htm#SEC2932
set_is_injective	sing_2031.htm#SEC2107
setcores	sing_1091.htm#SEC1167
setenv	sing_359.htm#IDX252
setinitials	sing_2543.htm#SEC2619
setring	sing_345.htm#SEC385
sh	sing_359.htm#IDX254
shared	sing_200.htm#SEC240
shared declarations	sing_203.htm#SEC243
shared expressions	sing_204.htm#SEC244
shared operations	sing_205.htm#SEC245
shared related functions	sing_206.htm#SEC246
sheaf cohomology	sing_1541.htm#IDX664
sheafCoh	sing_1547.htm#SEC1623
sheafCohBGG	sing_1545.htm#SEC1621
sheafCohBGG2	sing_1546.htm#SEC1622
sheafcoh.lib	sing_1541.htm#SEC1617
sheafcoh_lib	sing_1541.htm#SEC1617
short	sing_403.htm#SEC443
show	sing_1042.htm#SEC1118
showBO	sing_1523.htm#SEC1599
showDataTypes	sing_1525.htm#SEC1601
showNmzOptions	sing_1362.htm#SEC1438
showNuminvs	sing_1359.htm#SEC1435
showgrades	sing_706.htm#SEC758
showrecursive	sing_1043.htm#SEC1119
signal handler	sing_2872.htm#SEC2962
signatureBrieskorn	sing_1724.htm#SEC1800
signatureL	sing_2313.htm#SEC2389
signatureLqf	sing_2314.htm#SEC2390
signatureNemethi	sing_1726.htm#SEC1802
signaturePuiseux	sing_1725.htm#SEC1801
signcnd	sing_1852.htm#SEC1928
signcond.lib	sing_1851.htm#SEC1927
signcond_lib	sing_1851.htm#SEC1927
simplePrune	sing_2696.htm#SEC2772
simplesolver	sing_1796.htm#SEC1872
simplex	sing_346.htm#SEC386
simplexOut	sing_1823.htm#SEC1899
simplify	sing_347.htm#SEC387
simplifyRat	sing_743.htm#SEC795
sing.lib	sing_1691.htm#SEC1767
sing4ti2.lib	sing_1427.htm#SEC1503
sing4ti2_lib	sing_1427.htm#SEC1503
sing_lib	sing_1691.htm#SEC1767
singular locus of D-module	sing_723.htm#IDX388
singularities	sing_1623.htm#IDX700
singularities 	sing_1624.htm#IDX711
singularities  	sing_1625.htm#IDX714
singularities   	sing_1626.htm#IDX717
singularities    	sing_1627.htm#IDX720
singularities     	sing_1628.htm#IDX724
singularities      	sing_1629.htm#IDX728
singularities       	sing_1630.htm#IDX734
singularities        	sing_1631.htm#IDX742
singularities         	sing_1632.htm#IDX748
singularities          	sing_1633.htm#IDX756
singularities           	sing_1634.htm#IDX766
singularities            	sing_1722.htm#IDX813
singularities             	sing_2337.htm#IDX972
singularities              	sing_2421.htm#IDX981
singularities, resolution of	sing_934.htm#SEC986
singularity	sing_1588.htm#SEC1664
singularrc	sing_20.htm#IDX73
size	sing_348.htm#SEC388
size 	sing_420.htm#IDX294
skewmat	sing_1148.htm#SEC1224
sleep	sing_354.htm#SEC394
slimgb	sing_349.htm#SEC389
slimgb 	sing_911.htm#SEC963
slimgb (plural)	sing_481.htm#SEC521
slocus	sing_1703.htm#SEC1779
smaller	sing_2478.htm#IDX1051
smatrix	sing_171.htm#SEC211
smith	sing_1936.htm#SEC2012
smithNormalForm	sing_2751.htm#SEC2827
solutionsMod2	sing_1986.htm#SEC2062
solve	sing_1033.htm#IDX520
solve 	sing_1817.htm#SEC1893
solve a linear equation system A*x = b via the LU-decomposition of A	sing_292.htm#SEC332
solve.lib	sing_1815.htm#SEC1891
solveTInitialFormPar	sing_2248.htm#SEC2324
solve_IP	sing_1274.htm#SEC1350
solve_lib	sing_1815.htm#SEC1891
solvelinearpart	sing_1810.htm#SEC1886
sort	sing_1007.htm#SEC1083
sort 	sing_2483.htm#IDX1061
sortIntvec	sing_590.htm#SEC642
sortandmap	sing_1811.htm#SEC1887
sortier	sing_1773.htm#SEC1849
sortvars	sing_1812.htm#SEC1888
sortvec	sing_350.htm#SEC390
source	sing_2674.htm#SEC2750
source code debugger, sdb	sing_66.htm#SEC103
spaceCur	sing_2430.htm#SEC2506
spadd	sing_1637.htm#SEC1713
span	sing_2143.htm#SEC2219
sparseHomogIdeal	sing_1085.htm#SEC1161
sparseInterpolation	sing_2528.htm#SEC2604
sparseid	sing_1080.htm#SEC1156
sparsemat	sing_1082.htm#SEC1158
sparsematrix	sing_1081.htm#SEC1157
sparsepoly	sing_1083.htm#SEC1159
sparsetriag	sing_1084.htm#SEC1160
spcurve.lib	sing_1711.htm#SEC1787
spcurve_lib	sing_1711.htm#SEC1787
special characters, non-english	sing_409.htm#IDX287
spectral pairs	sing_1623.htm#IDX709
spectral pairs 	sing_1630.htm#IDX741
spectral pairs  	sing_1632.htm#IDX755
spectral pairs   	sing_1633.htm#IDX764
spectral pairs    	sing_1645.htm#IDX780
spectral pairs     	sing_1647.htm#IDX791
spectralNeg	sing_1533.htm#SEC1609
spectrum	sing_1623.htm#IDX708
spectrum 	sing_1629.htm#SEC1705
spectrum  	sing_1629.htm#IDX733
spectrum   	sing_1630.htm#IDX740
spectrum    	sing_1631.htm#IDX747
spectrum     	sing_1632.htm#IDX754
spectrum      	sing_1633.htm#IDX763
spectrum       	sing_1645.htm#IDX779
spectrum        	sing_1647.htm#IDX790
spectrum         	sing_1722.htm#IDX815
spectrum.lib	sing_1721.htm#SEC1797
spectrum_lib	sing_1721.htm#SEC1797
spectrumnd	sing_1722.htm#SEC1798
spgamma	sing_1644.htm#SEC1720
spgeomgenus	sing_1643.htm#SEC1719
spissemicont	sing_1640.htm#SEC1716
split	sing_1044.htm#SEC1120
splitPolygon	sing_2169.htm#SEC2245
splitring	sing_1413.htm#SEC1489
splitting	sing_1309.htm#SEC1385
spmilnor	sing_1642.htm#SEC1718
spmul	sing_1639.htm#SEC1715
spnf	sing_1190.htm#SEC1266
spoly	sing_2054.htm#SEC2130
sppairs	sing_1630.htm#SEC1706
sppnf	sing_1635.htm#SEC1711
sppprint	sing_1636.htm#SEC1712
spprint	sing_1191.htm#SEC1267
sprintf	sing_352.htm#SEC392
spsemicont	sing_1641.htm#SEC1717
spsub	sing_1638.htm#SEC1714
sqfrNorm	sing_1840.htm#SEC1916
sqfrNormMain	sing_1848.htm#SEC1924
sqr	sing_1966.htm#SEC2042
sqrfree	sing_351.htm#SEC391
squareRoot	sing_1985.htm#SEC2061
squarefree	sing_1666.htm#SEC1742
sres	sing_353.htm#SEC393
ssi	sing_906.htm#SEC958
stabilizer	sing_2350.htm#SEC2426
stack, moduli space of stable maps	sing_2837.htm#IDX1205
stack, moduli space of stable maps, rational curves	sing_2836.htm#IDX1204
stackNets	sing_2779.htm#SEC2855
staircase	sing_1857.htm#SEC1933
standard	sing_2061.htm#SEC2137
standard bases, saturation	sing_2311.htm#IDX943
standard bases.	sing_2310.htm#IDX942
standard.lib	sing_985.htm#IDX459
standard_lib	sing_985.htm#IDX460
startNmz	sing_1370.htm#SEC1446
startTasks	sing_1128.htm#SEC1204
static procedures	sing_43.htm#SEC78
status	sing_354.htm#SEC394
std	sing_355.htm#SEC395
std 	sing_909.htm#SEC961
std (letterplace)	sing_797.htm#SEC849
std (plural)	sing_482.htm#SEC522
stdfglm	sing_356.htm#SEC396
stdhilb	sing_357.htm#SEC397
stdlocus	sing_1030.htm#SEC1106
stopTask	sing_1129.htm#SEC1205
storeActionOnOrbitConeIndices	sing_2592.htm#SEC2668
stratify	sing_1791.htm#SEC1867
stratify.lib	sing_1789.htm#SEC1865
stratify_lib	sing_1789.htm#SEC1865
string	sing_172.htm#SEC212
string 	sing_420.htm#IDX297
string  	sing_2465.htm#IDX1024
string   	sing_2467.htm#IDX1029
string    	sing_2468.htm#IDX1032
string     	sing_2490.htm#IDX1078
string      	sing_2491.htm#IDX1081
string declarations	sing_173.htm#SEC213
string expressions	sing_174.htm#SEC214
string operations	sing_176.htm#SEC216
string related functions	sing_177.htm#SEC217
string type cast	sing_175.htm#SEC215
stripHNE	sing_1663.htm#SEC1739
structure	sing_2487.htm#IDX1072
sturm	sing_2094.htm#SEC2170
sturmha	sing_2096.htm#SEC2172
sturmhaseq	sing_2097.htm#SEC2173
sturmquery	sing_2072.htm#SEC2148
sturmseq	sing_2095.htm#SEC2171
sublists	sing_2444.htm#SEC2520
submat	sing_1149.htm#SEC1225
subquotient	sing_2666.htm#SEC2742
subrInterred	sing_1073.htm#SEC1149
subset_sum01	sing_2015.htm#SEC2091
subset_sum02	sing_2016.htm#SEC2092
subst	sing_358.htm#SEC398
subst (plural)	sing_483.htm#SEC523
substitute	sing_1072.htm#SEC1148
sugarCrit, option	sing_316.htm#IDX169
sum	sing_1008.htm#SEC1084
sum 	sing_2470.htm#IDX1035
sum  	sing_2492.htm#IDX1083
sum_of_powers	sing_2363.htm#SEC2439
sumlist	sing_1505.htm#SEC1581
sumofquotients	sing_2845.htm#SEC2921
super-commutative algebras	sing_788.htm#SEC840
superCommutative	sing_677.htm#SEC729
super_increasing_knapsack	sing_2027.htm#SEC2103
surf.lib	sing_1874.htm#SEC1950
surf_lib	sing_1874.htm#SEC1950
surfacesignature.lib	sing_1723.htm#SEC1799
surfacesignature_lib	sing_1723.htm#SEC1799
surfer	sing_1.htm#IDX8
surfer 	sing_1876.htm#SEC1952
surfex	sing_1.htm#IDX7
surfex.lib	sing_1877.htm#SEC1953
surfex_lib	sing_1877.htm#SEC1953
suspend	sing_354.htm#SEC394
swalk	sing_2853.htm#SEC2929
swalk.lib	sing_2852.htm#SEC2928
swalk_lib	sing_2852.htm#SEC2928
swap	sing_1592.htm#SEC1668
swap 	sing_2272.htm#IDX878
switch	sing_414.htm#SEC454
switchRingsAndComputeInitialIdeal	sing_2861.htm#SEC2937
syModStd	sing_1437.htm#SEC1513
symNsym	sing_2357.htm#SEC2433
sym_gauss	sing_1174.htm#SEC1250
symm	sing_2356.htm#SEC2432
symmStd	sing_1436.htm#SEC1512
symmat	sing_1150.htm#SEC1226
symmetric basis	sing_1166.htm#IDX546
symmetric power	sing_1168.htm#IDX548
symmetric product	sing_2554.htm#IDX1131
symmetricBasis	sing_1166.htm#SEC1242
symmetricPower	sing_1168.htm#SEC1244
symmetricPowerSheaf	sing_2831.htm#SEC2907
symmetries	sing_2346.htm#IDX980
symmfunc	sing_2081.htm#SEC2157
symodstd.lib	sing_1431.htm#SEC1507
symodstd_lib	sing_1431.htm#SEC1507
symsignature	sing_2071.htm#SEC2147
syndrome	sing_1904.htm#SEC1980
sysBin	sing_1902.htm#SEC1978
sysCRHT	sing_1899.htm#SEC1975
sysCRHTMindist	sing_1900.htm#SEC1976
sysFL	sing_1915.htm#SEC1991
sysNewton	sing_1901.htm#SEC1977
sysQE	sing_1905.htm#SEC1981
sys_code	sing_1896.htm#SEC1972
system	sing_359.htm#SEC399
system, --	sing_359.htm#IDX277
system, --long_option_name	sing_359.htm#IDX280
system, --long_option_name=value	sing_359.htm#IDX282
system, HC	sing_359.htm#IDX215
system, LLL	sing_359.htm#IDX219
system, Singular	sing_359.htm#IDX258
system, SingularLib	sing_359.htm#IDX260
system, absFact	sing_359.htm#IDX190
system, alarm	sing_359.htm#IDX189
system, blackbox	sing_359.htm#IDX191
system, bracket	sing_359.htm#IDX196
system, browsers	sing_359.htm#IDX195
system, btest	sing_359.htm#IDX198
system, complexNearZero	sing_359.htm#IDX199
system, contributors	sing_359.htm#IDX201
system, cpu	sing_359.htm#IDX203
system, cpu 	sing_359.htm#IDX276
system, denom_list	sing_359.htm#IDX205
system, eigenvals	sing_359.htm#IDX206
system, env	sing_359.htm#IDX207
system, executable	sing_359.htm#IDX209
system, freegb	sing_359.htm#IDX210
system, getPrecDigits	sing_359.htm#IDX213
system, getenv	sing_359.htm#IDX212
system, gmsnf	sing_359.htm#IDX214
system, hessenberg	sing_359.htm#IDX216
system, install	sing_359.htm#IDX218
system, nblocks	sing_359.htm#IDX222
system, nc_hilb	sing_359.htm#IDX224
system, neworder	sing_359.htm#IDX225
system, newstruct	sing_359.htm#IDX226
system, opp	sing_359.htm#IDX227
system, oppose	sing_359.htm#IDX230
system, pcvBasis	sing_359.htm#IDX239
system, pcvCV2P	sing_359.htm#IDX237
system, pcvDim	sing_359.htm#IDX238
system, pcvLAddL	sing_359.htm#IDX233
system, pcvMinDeg	sing_359.htm#IDX235
system, pcvP2CV	sing_359.htm#IDX236
system, pcvPMulL	sing_359.htm#IDX234
system, pid	sing_359.htm#IDX241
system, random	sing_359.htm#IDX243
system, reserve	sing_359.htm#IDX247
system, reservedLink	sing_359.htm#IDX248
system, semaphore	sing_359.htm#IDX250
system, semic	sing_359.htm#IDX251
system, setenv	sing_359.htm#IDX253
system, sh	sing_359.htm#IDX255
system, shrinktest	sing_359.htm#IDX256
system, spadd	sing_359.htm#IDX261
system, spectrum	sing_359.htm#IDX262
system, spmul	sing_359.htm#IDX263
system, std_syz	sing_359.htm#IDX264
system, stest	sing_359.htm#IDX265
system, tensorModuleMult	sing_359.htm#IDX266
system, twostd	sing_359.htm#IDX267
system, uname	sing_359.htm#IDX270
system, version	sing_359.htm#IDX273
system, with	sing_359.htm#IDX274
systemOfParametersOfLocalization	sing_2569.htm#SEC2645
syz	sing_360.htm#SEC400
syz (plural)	sing_484.htm#SEC524
tDetropicalise	sing_2250.htm#SEC2326
tInitialForm	sing_2234.htm#SEC2310
tInitialFormPar	sing_2246.htm#SEC2322
tInitialFormParMax	sing_2247.htm#SEC2323
tInitialIdeal	sing_2235.htm#SEC2311
tab	sing_1045.htm#SEC1121
tail	sing_2050.htm#SEC2126
tame polynomial	sing_1645.htm#IDX772
tame polynomial 	sing_1646.htm#IDX782
tame polynomial  	sing_1647.htm#IDX783
tangentGens	sing_1461.htm#SEC1537
tangentcone	sing_1710.htm#SEC1786
target	sing_2673.htm#SEC2749
task	sing_1122.htm#IDX545
tasks.lib	sing_1122.htm#SEC1198
tasks_lib	sing_1122.htm#SEC1198
tau_es	sing_1618.htm#SEC1694
tau_es2	sing_1572.htm#SEC1648
tdCf	sing_2392.htm#SEC2468
tdFactor	sing_2394.htm#SEC2470
tdProj	sing_2397.htm#SEC2473
tdTerms	sing_2393.htm#SEC2469
teachstd.lib	sing_2048.htm#SEC2124
teachstd_lib	sing_2048.htm#SEC2124
template.lib	sing_55.htm#IDX120
template.lib 	sing_55.htm#IDX123
template_lib	sing_55.htm#SEC92
template_lib 	sing_55.htm#IDX121
tensor	sing_361.htm#SEC401
tensor 	sing_493.htm#IDX311
tensor algebra	sing_849.htm#IDX415
tensorFreeModule	sing_2685.htm#SEC2761
tensorFreemodMod	sing_2684.htm#SEC2760
tensorMatrix	sing_2681.htm#SEC2757
tensorMod	sing_1269.htm#SEC1345
tensorModFreemod	sing_2683.htm#SEC2759
tensorModule	sing_2682.htm#SEC2758
tensorProduct	sing_2686.htm#SEC2762
tensorSheaf	sing_2830.htm#SEC2906
term orderings	sing_950.htm#SEC1002
term orderings introduction	sing_949.htm#SEC1001
testFraction	sing_772.htm#SEC824
testLocData	sing_769.htm#SEC821
testNCfac	sing_650.htm#SEC702
testNcfrac	sing_761.htm#SEC813
testNcfracExamples	sing_762.htm#SEC814
testNcloc	sing_765.htm#SEC817
testNclocExamples	sing_766.htm#SEC818
testOlga	sing_786.htm#SEC838
testOlgaExamples	sing_787.htm#SEC839
testParametrization	sing_1476.htm#SEC1552
testPointConic	sing_1477.htm#SEC1553
testPrimary	sing_1389.htm#SEC1465
testPrimaryE	sing_1390.htm#SEC1466
tetrahedronGroup	sing_838.htm#SEC890
tex	sing_1863.htm#SEC1939
texDrawBasic	sing_2241.htm#SEC2317
texDrawNewtonSubdivision	sing_2243.htm#SEC2319
texDrawTriangulation	sing_2244.htm#SEC2320
texDrawTropical	sing_2242.htm#SEC2318
texMatrix	sing_2240.htm#SEC2316
texNumber	sing_2238.htm#SEC2314
texPolynomial	sing_2239.htm#SEC2315
texcoef	sing_1944.htm#SEC2020
texdemo	sing_1864.htm#SEC1940
texfactorize	sing_1865.htm#SEC1941
texmap	sing_1866.htm#SEC1942
texname	sing_1867.htm#SEC1943
texobj	sing_1868.htm#SEC1944
texpoly	sing_1869.htm#SEC1945
texproc	sing_1870.htm#SEC1946
texring	sing_1871.htm#SEC1947
the first alternative algorithm	sing_1246.htm#IDX582
three_elements	sing_2034.htm#SEC2110
timeFactorize	sing_1012.htm#SEC1088
timeStd	sing_1011.htm#SEC1087
timer	sing_404.htm#SEC444
timer resolution, setting the	sing_359.htm#IDX283
timestep	sing_2546.htm#SEC2622
tjurina	sing_1706.htm#SEC1782
tmatrix	sing_1633.htm#SEC1709
todd	sing_2389.htm#SEC2465
toddE	sing_2390.htm#SEC2466
toddPoly	sing_2403.htm#SEC2479
tolessvars	sing_1809.htm#SEC1885
topChernClass	sing_2827.htm#SEC2903
topological invariants	sing_1560.htm#IDX674
topological invariants 	sing_1567.htm#IDX681
topological invariants  	sing_1568.htm#IDX685
topological invariants   	sing_1569.htm#IDX689
topological invariants    	sing_1570.htm#IDX693
toric ideals	sing_965.htm#SEC1022
toric ring	sing_1348.htm#IDX615
toric.lib	sing_1438.htm#SEC1514
toric_ideal	sing_1439.htm#SEC1515
toric_lib	sing_1438.htm#SEC1514
toric_std	sing_1440.htm#SEC1516
torusInvariants	sing_1354.htm#SEC1430
total divisors	sing_493.htm#IDX308
total multiplicities	sing_1560.htm#IDX677
totalChernClass	sing_2825.htm#SEC2901
totalSegreClass	sing_2828.htm#SEC2904
totalmultiplicities	sing_1562.htm#SEC1638
trace	sing_362.htm#SEC402
tracemult	sing_2075.htm#SEC2151
transpose	sing_363.htm#SEC403
trapezoid	sing_2540.htm#SEC2616
triMNewton	sing_1835.htm#SEC1911
triagmatrix	sing_1086.htm#SEC1162
triang.lib	sing_1828.htm#SEC1904
triangL	sing_1829.htm#SEC1905
triangL_solve	sing_1826.htm#SEC1902
triangLf_solve	sing_1824.htm#SEC1900
triangLfak	sing_1830.htm#SEC1906
triangM	sing_1831.htm#SEC1907
triangMH	sing_1832.htm#SEC1908
triangM_solve	sing_1825.htm#SEC1901
triang_lib	sing_1828.htm#SEC1904
triang_solve	sing_1827.htm#SEC1903
triangularGroup	sing_839.htm#SEC891
triangulations	sing_2166.htm#SEC2242
tropical curves	sing_2220.htm#IDX855
tropical geometry	sing_1232.htm#IDX556
tropical geometry 	sing_2855.htm#IDX1216
tropical mirror symmetry	sing_1232.htm#IDX558
tropical polynomials	sing_2220.htm#IDX856
tropical varieties	sing_2855.htm#IDX1217
tropical.lib	sing_2220.htm#IDX853
tropicalCurve	sing_2225.htm#SEC2301
tropicalJInvariant	sing_2228.htm#SEC2304
tropicalLifting	sing_2221.htm#SEC2297
tropicalLinkNewton	sing_2863.htm#SEC2939
tropicalNewton.lib	sing_2855.htm#SEC2931
tropicalNewton_lib	sing_2855.htm#SEC2931
tropicalPointNewton	sing_2860.htm#SEC2936
tropicalSubst	sing_2253.htm#SEC2329
tropicalVariety	sing_2260.htm#SEC2336
tropicalVarietyNewton	sing_2862.htm#SEC2938
tropical_lib	sing_2220.htm#IDX854
tropicalise	sing_2232.htm#SEC2308
tropicaliseSet	sing_2233.htm#SEC2309
truncate	sing_1542.htm#SEC1618
truncateFast	sing_1543.htm#SEC1619
truncated module	sing_1542.htm#IDX665
truncated module 	sing_1543.htm#IDX666
tst_ncfactor	sing_659.htm#SEC711
twalk	sing_1245.htm#SEC1321
two-sided	sing_493.htm#IDX309
two-sided Groebner basis	sing_493.htm#IDX310
twostd	sing_359.htm#IDX268
twostd (letterplace)	sing_798.htm#SEC850
twostd (plural)	sing_485.htm#SEC525
type	sing_364.htm#SEC404
type B	sing_2288.htm#IDX905
type D	sing_2289.htm#IDX907
type,custom	sing_184.htm#SEC224
type2arr	sing_2266.htm#SEC2342
typecasting	sing_2266.htm#IDX861
typecasting 	sing_2267.htm#IDX863
typecasting  	sing_2268.htm#IDX866
typeof	sing_365.htm#SEC405
u	sing_2532.htm#SEC2608
uname	sing_359.htm#IDX269
unbounded_knapsack	sing_2017.htm#SEC2093
unipotent groups	sing_1460.htm#IDX633
uniquePoint	sing_2144.htm#SEC2220
unitMatrix	sing_2797.htm#SEC2873
unitmat	sing_1151.htm#SEC1227
univariate	sing_366.htm#SEC406
univarpoly	sing_2082.htm#SEC2158
universal	sing_2484.htm#IDX1064
universal 	sing_2485.htm#IDX1066
universal derivation	sing_2460.htm#IDX1015
unknown syndrome	sing_981.htm#SEC1052
unset	sing_277.htm#SEC317
untyped definitions	sing_88.htm#SEC128
untyped definitions 	sing_425.htm#SEC465
updatePairs	sing_2060.htm#SEC2136
ures_solve	sing_1818.htm#SEC1894
uressolve	sing_367.htm#SEC407
usage, option	sing_316.htm#IDX185
user interface, Emacs	sing_21.htm#SEC28
vStd	sing_2436.htm#SEC2512
val	sing_2857.htm#SEC2933
valvars	sing_1813.htm#SEC1889
vandermonde	sing_368.htm#SEC408
vanishId	sing_1914.htm#SEC1990
var	sing_369.htm#SEC409
varMat	sing_2270.htm#SEC2346
varNum	sing_2271.htm#SEC2347
variables	sing_370.htm#SEC410
variables 	sing_2270.htm#IDX873
variables  	sing_2271.htm#IDX875
variables   	sing_2272.htm#IDX879
variables    	sing_2273.htm#IDX881
variablesSorted	sing_531.htm#SEC583
variablesStandard	sing_530.htm#SEC582
vars2pars	sing_738.htm#SEC790
varsigns	sing_2087.htm#SEC2163
varstr	sing_371.htm#SEC411
vdim	sing_372.htm#SEC412
vdim (plural)	sing_486.htm#SEC526
vec2poly	sing_513.htm#SEC565
vector	sing_178.htm#SEC218
vector declarations	sing_179.htm#SEC219
vector expressions	sing_180.htm#SEC220
vector operations	sing_181.htm#SEC221
vector related functions	sing_182.htm#SEC222
verify	sing_2078.htm#SEC2154
versal	sing_1613.htm#SEC1689
version	sing_359.htm#IDX272
vertexAdjacencyGraph	sing_2213.htm#SEC2289
vertexEdgeGraph	sing_2214.htm#SEC2290
vertices	sing_2160.htm#SEC2236
vfilt	sing_1631.htm#SEC1707
view	sing_1934.htm#SEC2010
visual	sing_2215.htm#SEC2291
visualize	sing_2531.htm#SEC2607
voice	sing_407.htm#SEC447
vwfilt	sing_1632.htm#SEC1708
wUnit	sing_1972.htm#SEC2048
waitAllTasks	sing_1131.htm#SEC1207
waitTasks	sing_1130.htm#SEC1206
waitall	sing_373.htm#SEC413
waitfirst	sing_374.htm#SEC414
walk, groebner	sing_1243.htm#IDX578
walk, groebner 	sing_2697.htm#IDX1139
walk, groebner  	sing_2809.htm#IDX1185
walk, groebner   	sing_2852.htm#IDX1214
warkedPreimageStd	sing_2571.htm#SEC2647
warn, option	sing_70.htm#SEC110
warn, option 	sing_316.htm#IDX151
watchdog	sing_1009.htm#SEC1085
wedge	sing_375.htm#SEC415
weierstr.lib	sing_2063.htm#SEC2139
weierstrDiv	sing_2064.htm#SEC2140
weierstrPrep	sing_2065.htm#SEC2141
weierstr_lib	sing_2063.htm#SEC2139
weierstrassForm	sing_2229.htm#SEC2305
weight	sing_376.htm#SEC416
weight filtration	sing_1623.htm#IDX705
weight filtration 	sing_1630.htm#IDX739
weight filtration  	sing_1632.htm#IDX753
weight filtration   	sing_1633.htm#IDX761
weight filtration    	sing_1645.htm#IDX777
weight filtration     	sing_1647.htm#IDX788
weightKB	sing_377.htm#SEC417
weightM, option	sing_316.htm#IDX170
weighted lexicographical ordering	sing_951.htm#IDX439
weighted reverse lexicographical ordering	sing_951.htm#IDX437
weightedRing	sing_670.htm#SEC722
whichvariable	sing_2086.htm#SEC2162
while	sing_394.htm#SEC434
withDim	sing_210.htm#IDX145
withHilb	sing_210.htm#IDX143
withMult	sing_210.htm#IDX146
withRes	sing_210.htm#IDX144
withSB	sing_210.htm#IDX142
wp, global ordering	sing_951.htm#IDX438
write	sing_378.htm#SEC418
writeNmzData	sing_1365.htm#SEC1441
writeNmzPaths	sing_1369.htm#SEC1445
writing monomials	sing_403.htm#SEC443
ws, local ordering	sing_952.htm#IDX449
wurzel	sing_1954.htm#SEC2030
xchange	sing_1948.htm#SEC2024
xdvi	sing_1873.htm#SEC1949
zdd	sing_2317.htm#IDX954
zdd2poly	sing_2334.htm#SEC2410
zero	sing_2646.htm#SEC2722
zero-dimensional	sing_2083.htm#IDX844
zeroMod	sing_1305.htm#SEC1381
zeroNcfrac	sing_754.htm#SEC806
zeroOpt	sing_1314.htm#SEC1390
zeroRadical	sing_1214.htm#SEC1290
zeroSet	sing_1841.htm#SEC1917
zerodec	sing_1398.htm#SEC1474
zeroset.lib	sing_1836.htm#SEC1912
zeroset_lib	sing_1836.htm#SEC1912
zetaDL	sing_1535.htm#SEC1611
{	sing_36.htm#IDX78
||	sing_36.htm#IDX103
|| 	sing_101.htm#SEC141
}	sing_36.htm#IDX79
~	sing_36.htm#IDX117
~ 	sing_395.htm#SEC435
