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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
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-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
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/  	sing_110.htm#SEC150
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>=     	sing_181.htm#SEC221
?	sing_36.htm#IDX106
? 	sing_262.htm#IDX148
ADGT	sing_1039.htm#SEC1115
AG codes	sing_948.htm#SEC1000
AGcode_L	sing_1909.htm#SEC1985
AGcode_Omega	sing_1910.htm#SEC1986
ASCII	sing_999.htm#SEC1075
ASCII links	sing_117.htm#SEC157
ASSUME	sing_64.htm#SEC101
A_L	sing_1599.htm#SEC1675
A_Z	sing_997.htm#SEC1073
A_Z_L	sing_998.htm#SEC1074
Access to elements of a user defined type	sing_186.htm#SEC226
Adj_div	sing_1904.htm#SEC1980
Adjoint ideal	sing_1476.htm#IDX659
Alexander polynomial	sing_1570.htm#IDX683
Algebraic Geometry codes	sing_1903.htm#IDX831
Algebraic dependence	sing_927.htm#SEC979
Algebraic geometry	sing_1451.htm#SEC1527
AltVarEnd	sing_743.htm#SEC795
AltVarStart	sing_742.htm#SEC794
Ann	sing_1390.htm#SEC1466
Appel function	sing_560.htm#IDX348
Appel hypergeometric function	sing_560.htm#IDX349
Applications	sing_946.htm#SEC998
Arnol'd	sing_2356.htm#IDX981
Arnold, classification.	sing_2441.htm#IDX991
Arnold, classification. 	sing_2442.htm#IDX992
ArnoldAction	sing_1692.htm#SEC1768
Assignments for user defined types	sing_188.htm#SEC228
AssocTanToEnv	sing_1033.htm#SEC1109
Atkin	sing_1992.htm#SEC2068
Authors	sing_1.htm#IDX16
Automatic Deduction	sing_1039.htm#IDX514
Automatic Demonstration	sing_1039.htm#IDX515
BFBoundsBudur	sing_598.htm#SEC650
BINresol	sing_1489.htm#SEC1565
BSidealFromAnn	sing_596.htm#SEC648
Background	sing_3.htm#SEC5
Basic programming	sing_902.htm#SEC954
Basic programming 	sing_902.htm#SEC954
BelongSemig	sing_2437.htm#SEC2513
BerlekampMassey	sing_2543.htm#SEC2619
Bern	sing_2410.htm#SEC2486
Bernstein operator	sing_537.htm#IDX330
Bernstein-Sato ideal	sing_593.htm#IDX351
Bernstein-Sato polynomial	sing_502.htm#IDX311
Bernstein-Sato polynomial 	sing_537.htm#IDX327
Bernstein-Sato polynomial  	sing_1633.htm#IDX714
Bernstein-Sato polynomial   	sing_1637.htm#IDX731
Bernstein-Sato polynomial for variety	sing_601.htm#IDX359
BernsteinSatoIdeal	sing_597.htm#SEC649
Betti	sing_2677.htm#SEC2753
Betti number	sing_964.htm#SEC1021
BettiNumsH	sing_2574.htm#SEC2650
BettiNumsN	sing_2582.htm#SEC2658
BettiNumsQp	sing_2577.htm#SEC2653
BettiNumsS	sing_2580.htm#SEC2656
Betty number	sing_2571.htm#IDX1130
Bigatti-La Scala-Robbiano algorithm	sing_974.htm#SEC1031
BlowingUp	sing_1612.htm#SEC1688
Blowupcenter	sing_1492.htm#SEC1568
BorelCheck	sing_1567.htm#SEC1643
Bott's formula	sing_2830.htm#IDX1199
Branches of space curve singularities	sing_935.htm#SEC987
Briancon-Maisonobe algorithm	sing_537.htm#IDX336
Brieskorn lattice	sing_1633.htm#IDX710
Brieskorn lattice 	sing_1634.htm#IDX721
Brieskorn lattice  	sing_1635.htm#IDX724
Brieskorn lattice   	sing_1636.htm#IDX727
Brieskorn lattice    	sing_1637.htm#IDX730
Brieskorn lattice     	sing_1638.htm#IDX734
Brieskorn lattice      	sing_1639.htm#IDX738
Brieskorn lattice       	sing_1640.htm#IDX744
Brieskorn lattice        	sing_1641.htm#IDX752
Brieskorn lattice         	sing_1642.htm#IDX758
Brieskorn lattice          	sing_1643.htm#IDX766
Brieskorn lattice           	sing_1644.htm#IDX776
Brieskorn lattice            	sing_1655.htm#IDX782
Brieskorn lattice             	sing_1657.htm#IDX793
Brieskorn lattice              	sing_1685.htm#IDX820
Brill-Noether algorithm	sing_1903.htm#IDX832
BrillNoether	sing_1906.htm#SEC1982
Buchberger algorithm for toric ideals	sing_975.htm#SEC1032
Budur-Mustata-Saito approach	sing_601.htm#IDX363
Building Singular	sing_2898.htm#SEC2989
C programming language	sing_413.htm#SEC453
C, module ordering	sing_956.htm#IDX450
CGS	sing_1020.htm#IDX463
CM_regularity	sing_1554.htm#SEC1630
CMtype	sing_1723.htm#SEC1799
CRHT-ideal	sing_981.htm#SEC1045
CSMA	sing_2433.htm#SEC2509
CYGWIN and ESingular	sing_23.htm#SEC33
Castelnuovo-Mumford regularity	sing_1554.htm#IDX675
Category string	sing_51.htm#SEC88
CenCharDec	sing_646.htm#SEC698
Center	sing_1531.htm#SEC1607
CenterBO	sing_1538.htm#SEC1614
CentralQuot	sing_644.htm#SEC696
CentralSaturation	sing_645.htm#SEC697
Change of rings	sing_9.htm#SEC15
Characteristic sets	sing_965.htm#SEC1022
CharacteristicExponents	sing_1618.htm#SEC1694
ChernClass	sing_2843.htm#SEC2919
ChernRootsDual	sing_2389.htm#SEC2465
ChernRootsHom	sing_2398.htm#SEC2474
ChernRootsProd	sing_2391.htm#SEC2467
ChernRootsSum	sing_2387.htm#SEC2463
ChernRootsSymm	sing_2400.htm#SEC2476
ChernRootsWedge	sing_2401.htm#SEC2477
Chevalley-Rosenlicht theorem	sing_1470.htm#IDX644
Chevalley-Rosenlicht theorem 	sing_1471.htm#IDX647
Chow ring, abstract variety, projective space, Grassmannian	sing_2834.htm#IDX1204
ChowRing	sing_2834.htm#SEC2910
Classification of hypersurface singularities	sing_936.htm#SEC988
Classification of singularities	sing_2803.htm#IDX1175
Code	sing_980.htm#SEC1038
Codes and the decoding problem	sing_980.htm#SEC1037
Coding theory	sing_1902.htm#SEC1978
Coefficient rings	sing_2896.htm#SEC2982
Command line options	sing_19.htm#SEC26
Commands	sing_207.htm#SEC247
Commands for user defined types	sing_187.htm#SEC227
Commutative Algebra	sing_915.htm#SEC967
Commutative algebra	sing_1203.htm#SEC1279
CompDecomp	sing_499.htm#SEC551
CompInt	sing_2439.htm#SEC2515
CompleteHomog	sing_2377.htm#SEC2453
ComplexValue	sing_2566.htm#SEC2642
Comprehensive Groebner System	sing_1020.htm#IDX466
Computing Groebner and Standard Bases	sing_911.htm#SEC963
ConsLevels	sing_1040.htm#SEC1116
ContactMatrix	sing_1620.htm#SEC1696
Conti-Traverso algorithm	sing_970.htm#SEC1027
Contributors	sing_1.htm#IDX15
Control structures	sing_381.htm#SEC421
Control theory	sing_1936.htm#SEC2012
Cooper philosophy	sing_981.htm#SEC1043
Cornacchia	sing_1982.htm#SEC2058
CornacchiaModified	sing_1983.htm#SEC2059
Crep	sing_1023.htm#SEC1099
Critical points	sing_930.htm#SEC982
CurveParam	sing_1614.htm#SEC1690
CurveRes	sing_1613.htm#SEC1689
Curves	sing_1476.htm#IDX656
Customization of the Emacs interface	sing_25.htm#SEC36
Cyclic code	sing_1917.htm#IDX839
Cyclic roots	sing_908.htm#SEC960
D-integration	sing_560.htm#IDX345
D-localization	sing_560.htm#IDX341
D-localization 	sing_662.htm#IDX370
D-module	sing_502.htm#IDX309
D-module 	sing_537.htm#IDX324
D-module  	sing_560.htm#IDX338
D-module   	sing_593.htm#IDX350
D-module    	sing_601.htm#IDX357
D-module     	sing_662.htm#IDX367
D-module      	sing_770.htm#IDX385
D-module structure	sing_537.htm#IDX325
D-module structure 	sing_593.htm#IDX353
D-module structure  	sing_601.htm#IDX358
D-restriction	sing_560.htm#IDX343
DBM links	sing_122.htm#SEC162
DISPLAY environment variable	sing_16.htm#IDX28
DLoc	sing_563.htm#SEC615
DLoc0	sing_565.htm#SEC617
Data types	sing_72.htm#SEC112
Data types (plural)	sing_426.htm#IDX295
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_1917.htm#IDX841
Decoding codes with Groebner bases	sing_979.htm#SEC1036
Decoding method based on quadratic equations	sing_984.htm#SEC1054
Definition of a user defined type	sing_184.htm#SEC224
Deformations	sing_933.htm#SEC985
Deformations, T1 and T2	sing_932.htm#SEC984
Deg	sing_2680.htm#SEC2756
Degree	sing_2681.htm#SEC2757
DegreePure	sing_1455.htm#SEC1531
Degrees	sing_2682.htm#SEC2758
Delta	sing_1539.htm#SEC1615
DeltaList	sing_1540.htm#SEC1616
Demo mode	sing_24.htm#SEC35
Depth	sing_922.htm#SEC974
Determinacy	sing_2806.htm#IDX1179
Di Biase-Urbanke algorithm	sing_973.htm#SEC1030
DifConsLCSets	sing_1043.htm#SEC1119
Distributed computing	sing_1054.htm#IDX531
Dlocalization	sing_663.htm#SEC715
Documentation Tool	sing_60.htm#SEC97
Dp, global ordering	sing_954.htm#IDX433
Ds, local ordering	sing_955.htm#IDX443
DsingularLocus	sing_667.htm#SEC719
Dynamic loading	sing_71.htm#SEC111
Dynamic modules	sing_910.htm#SEC962
ECPP	sing_2026.htm#SEC2102
ECoef	sing_1498.htm#SEC1574
EOrdlist	sing_1496.htm#SEC1572
ERROR	sing_238.htm#SEC278
ESingular, CYGWIN	sing_23.htm#SEC33
Edatalist	sing_1495.htm#SEC1571
Edelman-Reiner	sing_2311.htm#IDX922
Editing SINGULAR input files with Emacs	sing_26.htm#SEC37
Editing input	sing_18.htm#SEC25
Elimination	sing_918.htm#SEC970
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_1500.htm#SEC1576
Enumerative geometry	sing_2830.htm#IDX1197
Equal	sing_1454.htm#SEC1530
Eresol	sing_1490.htm#SEC1566
EulerAff	sing_2434.htm#SEC2510
EulerProj	sing_2435.htm#SEC2511
Evaluation of logical expressions	sing_415.htm#SEC455
Examples	sing_900.htm#SEC952
Examples of ring declarations	sing_29.htm#SEC40
Examples of use of Letterplace	sing_792.htm#SEC844
Exp for matrices	sing_1472.htm#IDX648
Experimental libraries	sing_2355.htm#SEC2431
Ext	sing_1263.htm#SEC1339
Ext, computation of	sing_921.htm#SEC973
Ext_R	sing_1262.htm#SEC1338
Exterior	sing_729.htm#SEC781
Extra weight vector	sing_959.htm#SEC1011
Factorization	sing_923.htm#SEC975
FamElemsAtEnvCompPoints	sing_1034.htm#SEC1110
Feynman graph	sing_1239.htm#IDX564
Finite fields	sing_917.htm#SEC969
First steps	sing_6.htm#SEC12
Fitzgerald-Lax method	sing_983.htm#SEC1051
Float	sing_253.htm#SEC293
Flow control	sing_40.htm#SEC70
Formal Checker	sing_59.htm#SEC96
Formatting output	sing_907.htm#SEC959
Free associative algebras	sing_802.htm#SEC854
Free resolution	sing_919.htm#SEC971
Free resolution, graded	sing_920.htm#SEC972
FultonA	sing_2432.htm#SEC2508
Functionality and release notes of Letterplace	sing_793.htm#SEC845
Functions	sing_208.htm#SEC248
Functions (letterplace)	sing_795.htm#SEC847
Future benefits of Singular 4	sing_2896.htm#SEC2987
G-algebra	sing_490.htm#SEC530
G-algebra 	sing_490.htm#SEC532
G-algebra, setup	sing_490.htm#SEC534
GBWeight	sing_566.htm#SEC618
GBsolve	sing_1816.htm#SEC1892
GIT-Fans	sing_942.htm#SEC994
GITcone	sing_2596.htm#SEC2672
GITfan	sing_2597.htm#SEC2673
GITfanFromOrbitCones	sing_2598.htm#SEC2674
GITfanParallel	sing_2599.htm#SEC2675
GITfanParallelSymmetric	sing_2614.htm#SEC2690
GITfanSymmetric	sing_2613.htm#SEC2689
GKZfan	sing_2600.htm#SEC2676
GKZsystem	sing_642.htm#SEC694
GKdim	sing_615.htm#SEC667
GMP	sing_1.htm#IDX3
GMP 	sing_2900.htm#SEC2991
GND.lib	sing_2621.htm#SEC2697
GND_lib	sing_2621.htm#SEC2697
GTZmod	sing_1316.htm#SEC1392
GTZopt	sing_1323.htm#SEC1399
G_a -Invariants	sing_939.htm#SEC991
Gamma	sing_1505.htm#SEC1581
Gauss-Manin connection	sing_966.htm#SEC1023
Gauss-Manin connection 	sing_1685.htm#IDX819
Gauss-Manin connection  	sing_1732.htm#IDX822
Gauss-Manin system	sing_1633.htm#IDX709
Gauss-Manin system 	sing_1634.htm#IDX720
Gauss-Manin system  	sing_1635.htm#IDX723
Gauss-Manin system   	sing_1636.htm#IDX726
Gauss-Manin system    	sing_1637.htm#IDX729
Gauss-Manin system     	sing_1638.htm#IDX733
Gauss-Manin system      	sing_1639.htm#IDX737
Gauss-Manin system       	sing_1640.htm#IDX743
Gauss-Manin system        	sing_1641.htm#IDX751
Gauss-Manin system         	sing_1642.htm#IDX757
Gauss-Manin system          	sing_1643.htm#IDX765
Gauss-Manin system           	sing_1644.htm#IDX775
Gauss-Manin system            	sing_1655.htm#IDX781
Gauss-Manin system             	sing_1657.htm#IDX792
Gelfand-Kirillov dimension	sing_842.htm#IDX407
General command syntax	sing_35.htm#SEC59
General concepts	sing_12.htm#SEC18
General purpose	sing_991.htm#SEC1067
General syntax of a ring declaration	sing_30.htm#SEC41
Generalized Hilbert Syzygy Theorem	sing_492.htm#SEC542
Generalized Newton identities	sing_982.htm#SEC1048
Geometric Invariant Theory	sing_941.htm#SEC993
Geometric Theorems	sing_1039.htm#IDX516
Geometric genus	sing_1476.htm#IDX660
German Umlaute	sing_411.htm#IDX282
Getting started	sing_5.htm#SEC11
Global orderings	sing_954.htm#SEC1006
Goettsche's formula	sing_2571.htm#IDX1131
GoettscheF	sing_2572.htm#SEC2648
Graded commutative algebras	sing_790.htm#SEC842
Grassmannian	sing_2835.htm#SEC2911
Grassmannian, abstract variety, Schubert calculus	sing_2835.htm#IDX1205
Greuel, Gert-Martin	sing_1.htm#IDX18
Grob1Levels	sing_1042.htm#SEC1118
Groebner Bases	sing_911.htm#SEC963
Groebner bases for two-sided ideals in free associative algebras	sing_804.htm#SEC856
Groebner bases in G-algebras	sing_491.htm#SEC535
Groebner bases in free associative algebras	sing_804.htm#SEC856
Groebner bases, decodeGB	sing_1917.htm#IDX843
Groebner bases, slim	sing_914.htm#SEC966
Groebner basis conversion	sing_913.htm#SEC965
Groebner cover	sing_1019.htm#IDX459
Groebner cover 	sing_1026.htm#IDX478
Groebner cover  	sing_1027.htm#IDX485
Groebner fan	sing_2181.htm#IDX860
Groebner walk	sing_1254.htm#IDX585
Groebner walk 	sing_1256.htm#IDX587
Groebner walk  	sing_2827.htm#IDX1193
Groebner walk   	sing_2828.htm#IDX1194
Groebnerwalk	sing_1250.htm#IDX581
Groebnerwalk 	sing_2714.htm#IDX1146
Groebnerwalk  	sing_2826.htm#IDX1192
Groebnerwalk   	sing_2869.htm#IDX1221
Gromov-Witten invariants	sing_1239.htm#IDX561
Gromov-Witten invariants 	sing_1245.htm#IDX570
Gromov-Witten invariants  	sing_1246.htm#IDX574
Gromov-Witten invariants, lines on hypersurfaces	sing_2860.htm#IDX1217
Gromov-Witten invariants, multiple covers	sing_2859.htm#IDX1216
Gromov-Witten invariants, rational curves on Calabi-Yau threefolds	sing_2861.htm#IDX1218
Gromov-Witten invariants, rational curves on Calabi-Yau threefolds 	sing_2862.htm#IDX1219
Gromov-Witten invariants.	sing_2830.htm#IDX1200
Gweights	sing_723.htm#SEC775
H2basis	sing_1690.htm#SEC1766
HHnormalForm	sing_2450.htm#SEC2526
Hamburger-Noether expansion	sing_1570.htm#IDX679
Hamburger-Noether expansion 	sing_1658.htm#IDX801
Hamburger-Noether expansions	sing_1904.htm#IDX833
Handling graded modules	sing_920.htm#SEC972
Hcode	sing_1592.htm#SEC1668
Help string	sing_45.htm#SEC82
Hensel	sing_243.htm#SEC283
Hilbert function	sing_359.htm#IDX188
Hilbert function 	sing_963.htm#SEC1017
Hilbert scheme	sing_2571.htm#IDX1134
Hilbert series	sing_807.htm#IDX398
Hilbert series 	sing_963.htm#SEC1017
Hilbert-driven GB algorithm	sing_913.htm#SEC965
HilbertClassPoly	sing_1989.htm#SEC2065
HilbertSeries	sing_1785.htm#SEC1861
HilbertWeights	sing_1786.htm#SEC1862
Hom	sing_1266.htm#SEC1342
HomJJ	sing_1346.htm#SEC1422
Hosten-Sturmfels algorithm	sing_972.htm#SEC1029
How to enter and exit	sing_14.htm#SEC20
How to use this manual	sing_4.htm#SEC6
Hurwitz numbers	sing_1245.htm#IDX573
Hurwitz numbers 	sing_1246.htm#IDX577
Hypersurface singularities, classification of	sing_936.htm#SEC988
I-regular function	sing_1026.htm#IDX484
IN	sing_283.htm#IDX149
Ideal membership	sing_962.htm#IDX455
Identifiers, syntax of	sing_37.htm#SEC65
ImageGroup	sing_1788.htm#SEC1864
ImageVariety	sing_1787.htm#SEC1863
Imap, option	sing_318.htm#IDX175
Implemented algorithms	sing_33.htm#SEC47
Incl	sing_1453.htm#SEC1529
Index	sing_2906.htm#SEC2997
Info string	sing_52.htm#SEC89
InterDiv	sing_1521.htm#SEC1597
Interactive use	sing_13.htm#SEC19
Interrupting SINGULAR	sing_17.htm#SEC24
IntersectWithSub	sing_647.htm#SEC699
Intersection theory	sing_2830.htm#IDX1196
IntersectionMatrix	sing_1619.htm#SEC1695
Introduction	sing_2.htm#SEC4
Invariant Theory	sing_938.htm#SEC990
Invariant theory	sing_1737.htm#SEC1813
InvariantQ	sing_1790.htm#SEC1866
InvariantRing	sing_1789.htm#SEC1865
Invariants of a finite group	sing_940.htm#SEC992
Invariants of plane curve singularities	sing_934.htm#SEC986
IsSCA	sing_744.htm#SEC796
J-marked schemes	sing_1561.htm#IDX677
J-marked schemes, Borel ideals	sing_1566.htm#IDX678
JMBTest.lib	sing_1561.htm#SEC1637
JMBTest_lib	sing_1561.htm#SEC1637
JMSConst.lib	sing_1566.htm#SEC1642
JMSConst_lib	sing_1566.htm#SEC1642
JMarkedScheme	sing_1568.htm#SEC1644
Jacobi	sing_1999.htm#SEC2075
Jacobson form	sing_1954.htm#IDX844
Jacobson normal form	sing_1954.htm#IDX845
Janet basis	sing_2825.htm#IDX1190
Janet division, Janet basis	sing_2824.htm#IDX1189
JuReTopDim	sing_1463.htm#SEC1539
JuReZeroDim	sing_1464.htm#SEC1540
K-basis	sing_807.htm#IDX396
K-dimension	sing_807.htm#IDX397
KScoef	sing_1683.htm#SEC1759
KSconvert	sing_1681.htm#SEC1757
KSker	sing_1680.htm#SEC1756
KSlinear	sing_1682.htm#SEC1758
KSpencerKernel	sing_1730.htm#SEC1806
KeneshlouMatrixPresentation	sing_2640.htm#SEC2716
Ker	sing_2686.htm#SEC2762
Kernel of module homomorphisms	sing_926.htm#SEC978
KoszulHomology	sing_1275.htm#SEC1351
Kronecker module	sing_2571.htm#IDX1133
Kronecker product	sing_363.htm#SEC403
L, ordering	sing_960.htm#SEC1012
LETTERPLACE	sing_791.htm#SEC843
LETTERPLACE libraries	sing_806.htm#SEC858
LIB	sing_287.htm#SEC327
LIB commands	sing_53.htm#SEC90
LIBs	sing_987.htm#SEC1063
LLL	sing_361.htm#IDX218
LOT algorithm	sing_537.htm#IDX337
LU-decomposition of a matrix of numbers	sing_292.htm#SEC332
Laurent series	sing_1243.htm#IDX569
Left and two-sided Groebner bases	sing_944.htm#SEC996
Left ideal membership	sing_491.htm#SEC538
Left normal form	sing_491.htm#SEC537
LengthSym	sing_787.htm#SEC839
LengthSymElement	sing_786.htm#SEC838
Letterplace	sing_791.htm#SEC843
Letterplace Groebner basis	sing_807.htm#IDX395
Letterplace Groebner basis 	sing_842.htm#IDX405
Letterplace Groebner basis  	sing_849.htm#IDX414
Letterplace correspondence	sing_805.htm#SEC857
Letterplace libraries	sing_806.htm#SEC858
Letterplace ring	sing_357.htm#SEC397
Levels	sing_1041.htm#SEC1117
Lexicographic Groebner bases, computation of	sing_913.htm#SEC965
Libraries	sing_48.htm#SEC85
Libraries 	sing_903.htm#SEC955
Libraries in the SINGULAR Documentation	sing_49.htm#SEC86
Library versioning	sing_2896.htm#SEC2985
Lie	sing_2518.htm#IDX1107
Lie algebra	sing_1471.htm#IDX645
Lie bracket	sing_460.htm#SEC500
Lie group	sing_1474.htm#IDX650
Lie group 	sing_1475.htm#IDX653
Limitations	sing_411.htm#SEC451
Linear algebra	sing_1144.htm#SEC1220
Linear code	sing_1917.htm#IDX840
LinearActionQ	sing_1792.htm#SEC1868
LinearCombinationQ	sing_1793.htm#SEC1869
LinearizeAction	sing_1791.htm#SEC1867
Loading a library	sing_62.htm#SEC99
Local orderings	sing_955.htm#SEC1007
Log for matrices	sing_1473.htm#IDX649
Long coefficients	sing_905.htm#SEC957
M, ordering	sing_957.htm#SEC1009
MVComplex	sing_2472.htm#SEC2548
Macdonald's formula	sing_2571.htm#IDX1132
MacdonaldF	sing_2578.htm#SEC2654
Macintosh installation	sing_2905.htm#SEC2996
Mathematical background	sing_961.htm#SEC1013
Mathematical background (letterplace)	sing_801.htm#SEC853
Mathematical background (plural)	sing_489.htm#SEC529
Matrix orderings	sing_957.htm#SEC1009
Max	sing_1699.htm#SEC1775
Maximus	sing_1563.htm#SEC1639
Maxord	sing_1504.htm#SEC1580
MillerRabin	sing_2009.htm#SEC2085
Milnor code	sing_2356.htm#IDX983
Milnor number	sing_929.htm#SEC981
Milnor number 	sing_2805.htm#IDX1178
Min	sing_1700.htm#SEC1776
MinMult	sing_2438.htm#SEC2514
MinimalDecomposition	sing_1794.htm#SEC1870
Minimum distance	sing_1917.htm#IDX842
Minimus	sing_1562.htm#SEC1638
Miscellaneous libraries	sing_2282.htm#SEC2358
ModEqn	sing_1693.htm#SEC1769
Modular techniques	sing_1054.htm#IDX528
Module orderings	sing_956.htm#SEC1008
Modules and and their annihilator	sing_10.htm#SEC16
Monodromy	sing_1685.htm#IDX817
Monomial orderings	sing_951.htm#SEC1003
Monomial orderings on free algebras	sing_803.htm#SEC855
Monomial orderings, Term orderings	sing_31.htm#SEC44
Mori dream spaces	sing_2365.htm#IDX986
Morse lemma	sing_2804.htm#IDX1176
Morse lemma 	sing_2807.htm#IDX1180
MultiplicitySequence	sing_1617.htm#SEC1693
NF	sing_337.htm#SEC377
NF (letterplace)	sing_797.htm#SEC849
NF (plural)	sing_481.htm#SEC521
NFMora	sing_2075.htm#SEC2151
NPos	sing_1336.htm#SEC1412
NPos_test	sing_1334.htm#SEC1410
NSplaces	sing_1905.htm#SEC1981
NTL	sing_1.htm#IDX4
NakYoshF	sing_2575.htm#SEC2651
Names	sing_37.htm#SEC65
Names in procedures	sing_46.htm#SEC83
Names, indexed	sing_37.htm#SEC65
New orderings for modules	sing_2896.htm#SEC2986
Newton non-degenerate	sing_1672.htm#IDX815
Newton polygon	sing_1671.htm#IDX814
Newton polygon 	sing_1672.htm#IDX816
Newton polygons	sing_2872.htm#IDX1224
Newton polytope	sing_2181.htm#IDX859
Newton step	sing_2808.htm#IDX1184
Noether position	sing_1336.htm#IDX603
NoetherPosition	sing_1330.htm#SEC1406
Non-commutative algebra	sing_943.htm#SEC995
Non-commutative algebra 	sing_978.htm#SEC1035
Non-commutative subsystem	sing_424.htm#SEC464
Nonhyp	sing_1493.htm#SEC1569
Normalization	sing_925.htm#SEC977
Notes for Singular users	sing_2896.htm#SEC2981
Notes for developers	sing_2897.htm#SEC2988
NullCone	sing_1795.htm#SEC1871
NumIrrDecom	sing_1467.htm#SEC1543
NumLocalDim	sing_1456.htm#SEC1532
NumPrimDecom	sing_1469.htm#SEC1545
Oaku-Takayama algorithm	sing_537.htm#IDX335
Objects	sing_38.htm#SEC66
Orlik-Solomon	sing_2312.htm#IDX923
Output	sing_2696.htm#IDX1144
Output 	sing_2772.htm#IDX1151
Output  	sing_2774.htm#IDX1152
Output   	sing_2775.htm#IDX1153
Output    	sing_2776.htm#IDX1154
Output     	sing_2777.htm#IDX1155
Output      	sing_2778.htm#IDX1156
Output       	sing_2779.htm#IDX1157
Output        	sing_2780.htm#IDX1158
Output         	sing_2781.htm#IDX1159
Output          	sing_2782.htm#IDX1160
Output           	sing_2783.htm#IDX1161
Output            	sing_2784.htm#IDX1162
Output             	sing_2785.htm#IDX1163
Output              	sing_2786.htm#IDX1164
Output               	sing_2787.htm#IDX1165
Output                	sing_2788.htm#IDX1166
Output                 	sing_2789.htm#IDX1167
Output                  	sing_2790.htm#IDX1168
Output                   	sing_2791.htm#IDX1169
Output                    	sing_2792.htm#IDX1170
Output                     	sing_2793.htm#IDX1171
Output                      	sing_2794.htm#IDX1172
Output                       	sing_2795.htm#IDX1173
Output                        	sing_2796.htm#IDX1174
Output, formatting of	sing_907.htm#SEC959
PBW	sing_516.htm#IDX323
PBW basis	sing_490.htm#SEC531
PBW_eqDeg	sing_534.htm#SEC586
PBW_maxDeg	sing_535.htm#SEC587
PBW_maxMonom	sing_536.htm#SEC588
PEsolve	sing_1814.htm#SEC1890
PH_ais	sing_2334.htm#SEC2410
PH_nais	sing_2335.htm#SEC2411
PLURAL	sing_425.htm#SEC465
PLURAL LIBs	sing_494.htm#SEC546
PLURAL libraries	sing_494.htm#SEC546
PPolyH	sing_2573.htm#SEC2649
PPolyN	sing_2581.htm#SEC2657
PPolyQp	sing_2576.htm#SEC2652
PPolyS	sing_2579.htm#SEC2655
ParToVar	sing_2568.htm#SEC2644
Parallelization	sing_909.htm#SEC961
Parallelization 	sing_1054.htm#IDX529
Parameter list	sing_44.htm#SEC81
Parameters	sing_906.htm#SEC958
Parametrization	sing_1476.htm#IDX657
Parametrization, image.	sing_1486.htm#IDX669
PartC	sing_2428.htm#SEC2504
PartitionVar	sing_2565.htm#SEC2641
Path names	sing_2896.htm#SEC2984
PerfectPowerTest	sing_1972.htm#SEC2048
Perturbation walk	sing_1255.htm#IDX586
Pfister, Gerhard	sing_1.htm#IDX19
Pipe links	sing_121.htm#SEC161
PocklingtonLehmer	sing_2011.htm#SEC2087
Poincare polynomial	sing_2324.htm#IDX947
Polar curves	sing_931.htm#SEC983
PollardRho	sing_2012.htm#SEC2088
PolyBoRi, Boolean Groebner Basis	sing_2337.htm#IDX963
PolyBoRi, Boolean Groebner Basis 	sing_2339.htm#IDX964
PolyBoRi, Boolean Groebner Basis  	sing_2340.htm#IDX965
PolyBoRi, Boolean Groebner Basis   	sing_2341.htm#IDX966
PolyBoRi, Boolean Groebner Basis    	sing_2342.htm#IDX967
PolyBoRi, Boolean Groebner Basis     	sing_2343.htm#IDX968
PolyBoRi, Boolean Groebner Basis      	sing_2344.htm#IDX969
PolyBoRi, Boolean Groebner Basis       	sing_2345.htm#IDX970
PolyBoRi, Boolean Groebner Basis        	sing_2346.htm#IDX971
PolyBoRi, Boolean Groebner Basis         	sing_2347.htm#IDX972
PolyBoRi, Boolean Groebner Basis          	sing_2348.htm#IDX973
PolyBoRi, Boolean Groebner Basis           	sing_2349.htm#IDX974
PolyBoRi, Boolean Groebner Basis            	sing_2350.htm#IDX975
PolyBoRi, Boolean Groebner Basis             	sing_2351.htm#IDX976
PolyBoRi, Boolean Groebner Basis              	sing_2353.htm#IDX978
PolyBoRi, zero-supressed decision diagram	sing_2352.htm#IDX977
Polybori, Boolean Groebner Basis	sing_2354.htm#IDX979
Polynomial data	sing_949.htm#SEC1001
Pottier algorithm	sing_971.htm#SEC1028
Preface	sing_1.htm#SEC1
Prep	sing_1024.htm#SEC1100
Primary decomposition	sing_924.htm#SEC976
PrimdecA	sing_1312.htm#SEC1388
PrimdecB	sing_1313.htm#SEC1389
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_903.htm#SEC955
Procedures in a library	sing_54.htm#SEC91
Product orderings	sing_958.htm#SEC1010
Programming	sing_901.htm#SEC953
Pseudo ordering L	sing_960.htm#SEC1012
PtoCrep	sing_1025.htm#SEC1101
Puiseux expansion	sing_1570.htm#IDX680
Puiseux expansion 	sing_1658.htm#IDX802
Puiseux pairs	sing_934.htm#SEC986
Puiseux pairs 	sing_1664.htm#IDX807
QQ	sing_28.htm#SEC39
QQ 	sing_75.htm#SEC115
Qso3Casimir	sing_641.htm#SEC693
Quot-scheme	sing_2571.htm#IDX1135
Quotient	sing_1856.htm#SEC1932
QuotientEquations	sing_1694.htm#SEC1770
Rational curves	sing_1476.htm#IDX658
ReJunkUseHomo	sing_1462.htm#SEC1538
ReesAlgebra	sing_1429.htm#SEC1505
References	sing_986.htm#SEC1060
References (plural)	sing_493.htm#SEC543
References and history of Letterplace	sing_794.htm#SEC846
Release Notes	sing_2892.htm#SEC2968
Res	sing_2676.htm#SEC2752
ResTree	sing_1522.htm#SEC1598
Resolution	sing_11.htm#SEC17
Resolution of singularities	sing_937.htm#SEC989
Resolution, free	sing_919.htm#SEC971
ReynoldsImage	sing_1796.htm#SEC1872
ReynoldsOperator	sing_1797.htm#SEC1873
RiemannRochBN	sing_2373.htm#SEC2449
RiemannRochHess	sing_2659.htm#SEC2735
Right Groebner bases and syzygies	sing_945.htm#SEC997
Ring-dependent options	sing_2896.htm#SEC2983
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_790.htm#SEC842
SDB breakpoint	sing_66.htm#SEC106
SDB debugger	sing_66.htm#SEC106
SDLoc	sing_564.htm#SEC616
SINGULAR libraries	sing_987.htm#SEC1063
SINGULARHIST	sing_18.htm#SEC25
SL	sing_1800.htm#SEC1876
SLreynolds	sing_1806.htm#SEC1882
SV-decoding algorithm	sing_1912.htm#IDX836
SV-decoding algorithm, preprocessing	sing_1911.htm#IDX835
SaitoBase	sing_2886.htm#SEC2962
Sannfs	sing_540.htm#SEC592
SannfsBFCT	sing_549.htm#SEC601
SannfsVar	sing_604.htm#SEC656
Sannfslog	sing_541.htm#SEC593
Saturation	sing_916.htm#SEC968
Sch@"onemann, Hans	sing_1.htm#IDX20
Schoof	sing_2023.htm#SEC2099
Schubert calculus	sing_2830.htm#IDX1198
SchubertClass	sing_2867.htm#SEC2943
SchurCh	sing_2425.htm#SEC2501
SchurS	sing_2424.htm#SEC2500
SegreA	sing_2431.htm#SEC2507
Semigroup	sing_1610.htm#SEC1686
Serre relations	sing_813.htm#IDX402
SetDeg	sing_2679.htm#SEC2755
Setting up a G-algebra	sing_490.htm#SEC534
ShanksMestre	sing_2022.htm#SEC2098
SimplifyIdeal	sing_1798.htm#SEC1874
Singular	sing_361.htm#IDX255
Singular 3 and Singular 4	sing_2894.htm#SEC2979
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_1460.htm#SEC1536
SingularLib	sing_361.htm#IDX257
Singularities	sing_1569.htm#SEC1645
Singularity Theory	sing_928.htm#SEC980
Skeletons for parallelization	sing_1054.htm#IDX530
Smith form	sing_1954.htm#IDX846
Smith normal form	sing_1954.htm#IDX847
SolowayStrassen	sing_2010.htm#SEC2086
Solving systems of polynomial equations	sing_947.htm#SEC999
Source	sing_2668.htm#SEC2744
Source code debugger, invocation	sing_19.htm#IDX33
Space curve singularities, branches of	sing_935.htm#SEC987
Special characters	sing_36.htm#SEC64
Splitting lemma	sing_2804.htm#IDX1177
Splitting lemma 	sing_2807.htm#IDX1181
Ssi file links	sing_119.htm#SEC159
Ssi links	sing_118.htm#SEC158
Ssi tcp links	sing_120.htm#SEC160
StabEqn	sing_1695.htm#SEC1771
StabEqnId	sing_1696.htm#SEC1772
StabOrder	sing_1697.htm#SEC1773
Standard Bases	sing_911.htm#SEC963
Standard bases	sing_962.htm#SEC1014
StartOrderingV	sing_1564.htm#SEC1640
Startup sequence	sing_20.htm#SEC27
StringF	sing_1684.htm#SEC1760
SymGroup	sing_785.htm#SEC837
Symbolic-numerical solving	sing_947.htm#SEC999
Symbolic-numerical solving 	sing_1811.htm#SEC1887
System and Control theory	sing_1936.htm#SEC2012
System dependent limitations	sing_412.htm#SEC452
System variables	sing_398.htm#SEC438
Syzygies and resolutions	sing_964.htm#SEC1018
Syzygies and resolutions (plural)	sing_492.htm#SEC539
T1	sing_932.htm#SEC984
T2	sing_932.htm#SEC984
TRACE	sing_65.htm#SEC102
TRACE 	sing_407.htm#SEC447
T_1	sing_1717.htm#SEC1793
T_12	sing_1719.htm#SEC1795
T_2	sing_1718.htm#SEC1794
Target	sing_2667.htm#SEC2743
Teaching	sing_1968.htm#SEC2044
Template for writing a library	sing_55.htm#SEC92
TestGRRes	sing_2639.htm#SEC2715
TestJMark	sing_1565.htm#SEC1641
The SINGULAR language	sing_34.htm#SEC56
The Tran algorithm	sing_1252.htm#IDX583
The fractal walk algorithm	sing_1251.htm#IDX582
The fractal walk algorithm 	sing_2829.htm#IDX1195
The online help system	sing_16.htm#SEC22
Tjurina	sing_1715.htm#SEC1791
Tjurina number	sing_929.htm#SEC981
Tjurina number 	sing_1351.htm#IDX618
Top 20 Emacs commands	sing_27.htm#SEC38
Tor	sing_1277.htm#SEC1353
Toric ideals and integer programming	sing_967.htm#SEC1024
Tricks and pitfalls	sing_410.htm#SEC450
Tropical Geometry	sing_2120.htm#SEC2196
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_1192.htm#SEC1268
Ufnarovski graph	sing_842.htm#IDX410
Unix installation	sing_2903.htm#SEC2994
UpOneMatrix	sing_741.htm#SEC793
UpperMonomials	sing_1698.htm#SEC1774
UseBertini	sing_1459.htm#SEC1535
User defined types	sing_183.htm#SEC223
V-filtration	sing_1633.htm#IDX712
V-filtration 	sing_1639.htm#IDX740
V-filtration  	sing_1640.htm#IDX746
V-filtration   	sing_1641.htm#IDX754
V-filtration    	sing_1642.htm#IDX760
V-filtration     	sing_1643.htm#IDX768
V-filtration      	sing_1644.htm#IDX778
V-filtration       	sing_1655.htm#IDX784
V-filtration        	sing_1657.htm#IDX795
VarToPar	sing_2567.htm#SEC2643
Variables, indexed	sing_37.htm#SEC65
VecField.lib	sing_2881.htm#SEC2957
VecField_lib	sing_2881.htm#SEC2957
Version number	sing_2895.htm#SEC2980
Version schema for Singular	sing_2895.htm#SEC2980
Version string	sing_50.htm#SEC87
Visualization	sing_1874.htm#SEC1950
WLCGS	sing_1037.htm#SEC1113
WLemma	sing_1036.htm#SEC1112
WP, global ordering	sing_954.htm#IDX437
WSemigroup	sing_1615.htm#SEC1691
Weierstrass	sing_1907.htm#SEC1983
Weierstrass semigroup	sing_1903.htm#IDX830
Weyl	sing_726.htm#SEC778
Weyl algebra	sing_537.htm#IDX329
Weyl algebra 	sing_593.htm#IDX355
Weyl algebra  	sing_601.htm#IDX361
Weyl closure	sing_662.htm#IDX373
WeylClosure	sing_664.htm#SEC716
WeylClosure1	sing_665.htm#SEC717
Wibmer's Lemma	sing_1036.htm#IDX513
Windows installation	sing_2904.htm#SEC2995
WitSet	sing_1466.htm#SEC1542
WitSupSet	sing_1465.htm#SEC1541
Ws, local ordering	sing_955.htm#IDX449
XLsolve	sing_1817.htm#SEC1893
ZZ	sing_28.htm#SEC39
ZZ 	sing_75.htm#SEC115
ZZ/m	sing_28.htm#SEC39
ZZ/p	sing_28.htm#SEC39
ZZsolve	sing_1818.htm#SEC1894
[	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_959.htm#SEC1011
absFactorize	sing_1205.htm#SEC1281
absFactorizeBCG	sing_1206.htm#SEC1282
absPrimdecGTZ	sing_1409.htm#SEC1485
absPrimdecGTZE	sing_1410.htm#SEC1486
absValue	sing_1000.htm#SEC1076
absfact.lib	sing_1204.htm#SEC1280
absfact_lib	sing_1204.htm#SEC1280
absolute factorization.	sing_1204.htm#IDX554
abstract variety, projective space, Grassmannian	sing_2831.htm#IDX1201
abstract variety, projective space, Grassmannian 	sing_2832.htm#IDX1202
abstractR	sing_1548.htm#SEC1624
actionIsProper	sing_1778.htm#SEC1854
add	sing_2487.htm#IDX1040
add 	sing_2509.htm#IDX1088
addLeftFractions	sing_757.htm#SEC809
addModules	sing_2688.htm#SEC2764
addNvarsTo	sing_1128.htm#SEC1204
addRat	sing_683.htm#SEC735
addSheaf	sing_2850.htm#SEC2926
addcol	sing_1161.htm#SEC1237
addcores	sing_1097.htm#SEC1173
addnondegeneratevariables	sing_2807.htm#SEC2883
addrow	sing_1162.htm#SEC1238
addvarsTo	sing_1127.htm#SEC1203
ademRelations	sing_817.htm#SEC869
adjoint	sing_1186.htm#SEC1262
adjointIdeal	sing_1477.htm#SEC1553
adjunction divisor	sing_1904.htm#IDX834
admissibleSub	sing_717.htm#SEC769
afaces	sing_2592.htm#SEC2668
affine code	sing_983.htm#SEC1052
ainvar.lib	sing_1775.htm#SEC1851
ainvar_lib	sing_1775.htm#SEC1851
aksaka.lib	sing_1969.htm#SEC2045
aksaka_lib	sing_1969.htm#SEC2045
alexanderpolynomial	sing_1573.htm#SEC1649
alexpoly.lib	sing_1570.htm#SEC1646
alexpoly_lib	sing_1570.htm#SEC1646
algDependent	sing_1211.htm#SEC1287
alg_kernel	sing_1212.htm#SEC1288
algebra.lib	sing_1207.htm#SEC1283
algebra_containment	sing_1208.htm#SEC1284
algebra_lib	sing_1207.htm#SEC1283
algebraic dependence	sing_768.htm#IDX381
algebraic field extension	sing_1423.htm#IDX627
algebraicDependence	sing_1436.htm#SEC1512
algorithm of Bigatti, La Scala and Robbiano	sing_974.htm#SEC1031
algorithm of Conti and Traverso	sing_970.htm#SEC1027
algorithm of Di Biase and Urbanke	sing_973.htm#SEC1030
algorithm of Hosten and Sturmfels	sing_972.htm#SEC1029
algorithm of Pottier	sing_971.htm#SEC1028
alias	sing_35.htm#SEC59
align	sing_209.htm#SEC249
all.lib	sing_992.htm#SEC1068
allDoubleExt	sing_779.htm#SEC831
allExtOfLeft	sing_776.htm#SEC828
allExtOfRight	sing_777.htm#SEC829
allPositive	sing_513.htm#SEC565
all_lib	sing_992.htm#SEC1068
allowing net access	sing_19.htm#IDX41
allprint	sing_1045.htm#SEC1121
allreal	sing_2112.htm#SEC2188
allrealst	sing_2110.htm#SEC2186
allsquarefree	sing_1677.htm#SEC1753
ambientDimension	sing_2125.htm#SEC2201
and	sing_101.htm#SEC141
and 	sing_415.htm#SEC455
annPoly	sing_561.htm#SEC613
annRat	sing_562.htm#SEC614
annRatSyz	sing_672.htm#SEC724
annfalphaI	sing_599.htm#SEC651
annfs	sing_538.htm#SEC590
annfs0	sing_550.htm#SEC602
annfs2	sing_551.htm#SEC603
annfsBMI	sing_547.htm#SEC599
annfsLogIdeal	sing_594.htm#SEC646
annfsParamBM	sing_546.htm#SEC598
annfsRB	sing_552.htm#SEC604
annfspecial	sing_539.htm#SEC591
annihilator of polynomial	sing_560.htm#IDX339
annihilator of rational function	sing_560.htm#IDX340
annihilator of rational function 	sing_662.htm#IDX376
annihilatorMultiFs	sing_595.htm#SEC647
annil	sing_1318.htm#SEC1394
appelF1	sing_579.htm#SEC631
appelF2	sing_580.htm#SEC632
appelF4	sing_581.htm#SEC633
appendWeight2Ord	sing_719.htm#SEC771
application	sing_2515.htm#IDX1103
apply	sing_382.htm#SEC422
applyAdF	sing_529.htm#SEC581
applyPermutationToIntvec	sing_2617.htm#SEC2693
applyVecField	sing_2882.htm#SEC2958
arcpoint.lib	sing_1583.htm#SEC1659
arcpoint_lib	sing_1583.htm#SEC1659
areEqualLeftFractions	sing_759.htm#SEC811
areZeroElements	sing_2755.htm#SEC2831
argument, default	sing_44.htm#SEC81
argument, optional	sing_44.htm#SEC81
arnoldClassify	sing_2360.htm#SEC2436
arnoldCorank	sing_2361.htm#SEC2437
arnoldDeterminacy	sing_2362.htm#SEC2438
arnoldListAllSeries	sing_2357.htm#SEC2433
arnoldMilnorCode	sing_2363.htm#SEC2439
arnoldMorseSplit	sing_2364.htm#SEC2440
arnoldNormalForm	sing_2359.htm#SEC2435
arnoldShowSeries	sing_2358.htm#SEC2434
arnoldclassify.lib	sing_2356.htm#SEC2432
arnoldclassify_lib	sing_2356.htm#SEC2432
arr.lib	sing_2283.htm#SEC2359
arr2multarr	sing_2316.htm#SEC2392
arrBoolean	sing_2305.htm#SEC2381
arrBoundedChambers	sing_2326.htm#SEC2402
arrBraid	sing_2306.htm#SEC2382
arrCenter	sing_2293.htm#SEC2369
arrCentered	sing_2295.htm#SEC2371
arrCentral	sing_2294.htm#SEC2370
arrCentralize	sing_2296.htm#SEC2372
arrChambers	sing_2325.htm#SEC2401
arrCharPoly	sing_2323.htm#SEC2399
arrCone	sing_2299.htm#SEC2375
arrCoordChange	sing_2297.htm#SEC2373
arrCoordNormalize	sing_2298.htm#SEC2374
arrDecone	sing_2300.htm#SEC2376
arrDer	sing_2313.htm#SEC2389
arrEdelmanReiner	sing_2311.htm#SEC2387
arrEssentialize	sing_2304.htm#SEC2380
arrExponents	sing_2315.htm#SEC2391
arrFlats	sing_2320.htm#SEC2396
arrIsEssential	sing_2303.htm#SEC2379
arrIsFree	sing_2314.htm#SEC2390
arrLastVar	sing_2292.htm#SEC2368
arrLattice	sing_2321.htm#SEC2397
arrLocalize	sing_2301.htm#SEC2377
arrOrlikSolomon	sing_2312.htm#SEC2388
arrPoincare	sing_2324.htm#SEC2400
arrPrintMatrix	sing_2288.htm#SEC2364
arrRandom	sing_2309.htm#SEC2385
arrRandomCentral	sing_2310.htm#SEC2386
arrRestrict	sing_2302.htm#SEC2378
arrSet	sing_2284.htm#SEC2360
arrSwapVar	sing_2291.htm#SEC2367
arrTypeB	sing_2307.htm#SEC2383
arrTypeD	sing_2308.htm#SEC2384
arr_lib	sing_2283.htm#SEC2359
arrange	sing_554.htm#SEC606
arrangement	sing_2284.htm#IDX865
arrangement 	sing_2285.htm#IDX870
arrangement  	sing_2316.htm#IDX932
arrangement   	sing_2317.htm#IDX935
ask	sing_1977.htm#SEC2053
assPrimes	sing_1222.htm#SEC1298
assign	sing_2284.htm#IDX867
assignment,custom	sing_188.htm#SEC228
associated tangent	sing_1033.htm#IDX506
associated tangent 	sing_1034.htm#IDX510
assprimeszerodim.lib	sing_1220.htm#SEC1296
assprimeszerodim_lib	sing_1220.htm#SEC1296
atkins.lib	sing_1978.htm#SEC2054
atkins_lib	sing_1978.htm#SEC2054
attrib	sing_210.htm#SEC250
autGenWeights	sing_2368.htm#SEC2444
autGradAlg	sing_2367.htm#SEC2443
autKS	sing_2366.htm#SEC2442
autX	sing_2371.htm#SEC2447
autXhat	sing_2370.htm#SEC2446
autgradalg.lib	sing_2365.htm#SEC2441
autgradalg_lib	sing_2365.htm#SEC2441
automorphism group	sing_2365.htm#IDX987
automorphisms	sing_2365.htm#IDX984
autonom	sing_1941.htm#SEC2017
autonomDim	sing_1942.htm#SEC2018
awalk1	sing_1253.htm#SEC1329
awalk2	sing_1254.htm#SEC1330
b-function	sing_502.htm#IDX312
bFactor	sing_584.htm#SEC636
babyGiant	sing_2007.htm#SEC2083
backward	sing_2554.htm#SEC2630
bareiss	sing_211.htm#SEC251
base2str	sing_995.htm#SEC1071
basering	sing_28.htm#IDX76
basering 	sing_88.htm#SEC128
basicinvariants	sing_1589.htm#SEC1665
baumslagGroup	sing_819.htm#SEC871
baumslagSolitar	sing_818.htm#SEC870
belongSemigroup	sing_1225.htm#SEC1301
bernstein	sing_1637.htm#SEC1713
bernsteinBM	sing_542.htm#SEC594
bernsteinLift	sing_543.htm#SEC595
bertini	sing_1452.htm#IDX631
bertini 	sing_1457.htm#IDX638
bertini2Singular	sing_1461.htm#SEC1537
betti	sing_212.htm#SEC252
betti (plural)	sing_459.htm#SEC499
bfct	sing_503.htm#SEC555
bfctAnn	sing_505.htm#SEC557
bfctBound	sing_671.htm#SEC723
bfctIdeal	sing_507.htm#SEC559
bfctOneGB	sing_506.htm#SEC558
bfctSyz	sing_504.htm#SEC556
bfctVarAnn	sing_603.htm#SEC655
bfctVarIn	sing_602.htm#SEC654
bfun.lib	sing_502.htm#SEC554
bfun_lib	sing_502.htm#SEC554
bigger	sing_2494.htm#IDX1054
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_2615.htm#SEC2691
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_495.htm#IDX300
bimodules.lib	sing_495.htm#SEC547
bimodules_lib	sing_495.htm#SEC547
binaryToBigint	sing_2616.htm#SEC2692
binary_add	sing_2030.htm#SEC2106
binomial	sing_1001.htm#SEC1077
binomials2intmat	sing_1384.htm#SEC1460
birational map, image, inverse.	sing_1478.htm#IDX663
bistd	sing_496.htm#SEC548
bisyzygies	sing_495.htm#IDX301
bitrinity	sing_497.htm#SEC549
blackbox	sing_192.htm#SEC232
blackbox 	sing_200.htm#SEC240
block	sing_40.htm#SEC70
block 	sing_381.htm#SEC421
blowUp	sing_1529.htm#SEC1605
blowUp2	sing_1530.htm#SEC1606
blowUpBO	sing_1536.htm#SEC1612
blowup0	sing_1230.htm#SEC1306
boolean	sing_2305.htm#IDX909
boolean expressions	sing_100.htm#SEC140
boolean operations	sing_101.htm#SEC141
boolean_constant	sing_2339.htm#SEC2415
boolean_ideal	sing_2343.htm#SEC2419
boolean_poly	sing_2340.htm#SEC2416
boolean_poly_ring	sing_2338.htm#SEC2414
boolean_set	sing_2344.htm#SEC2420
boolean_std	sing_2337.htm#SEC2413
border basis	sing_2821.htm#IDX1185
borderBasis	sing_2822.htm#SEC2898
boundBuFou	sing_2107.htm#SEC2183
boundDes	sing_2109.htm#SEC2185
boundaryLatticePoints	sing_2196.htm#SEC2272
boundposDes	sing_2108.htm#SEC2184
bounds	sing_2809.htm#SEC2885
boxSet	sing_2811.htm#SEC2887
bracket	sing_361.htm#IDX197
bracket 	sing_418.htm#SEC458
bracket  	sing_460.htm#SEC500
braid	sing_2306.htm#IDX911
branchTo	sing_160.htm#SEC200
break	sing_383.htm#SEC423
break point	sing_397.htm#SEC437
breakpoint	sing_384.htm#SEC424
brillnoether.lib	sing_2372.htm#SEC2448
brillnoether_lib	sing_2372.htm#SEC2448
brnoeth.lib	sing_1903.htm#SEC1979
brnoeth_lib	sing_1903.htm#SEC1979
browser, command line option	sing_19.htm#IDX44
browser, setting the	sing_361.htm#IDX193
browsers	sing_16.htm#IDX21
browsers, setting the	sing_361.htm#IDX192
bubblesort	sing_1980.htm#SEC2056
busadj	sing_1184.htm#SEC1260
bvar	sing_2351.htm#SEC2427
c, module ordering	sing_956.htm#IDX452
cProj	sing_2414.htm#SEC2490
calculateI	sing_1503.htm#SEC1579
calculate_max_sum	sing_2049.htm#SEC2125
calculate_ordering	sing_2027.htm#SEC2103
cancelunit, option	sing_318.htm#IDX171
canonMap	sing_1258.htm#SEC1334
canoncial form	sing_1023.htm#IDX473
canoncial form 	sing_1024.htm#IDX475
canoncial form  	sing_1025.htm#IDX477
canonical	sing_1019.htm#IDX461
canonical form	sing_1040.htm#IDX519
canonical form 	sing_1041.htm#IDX521
canonical form  	sing_1042.htm#IDX524
canonical form   	sing_1043.htm#IDX526
canonical,	sing_1027.htm#IDX487
canonicalizeCone	sing_2126.htm#SEC2202
canonize	sing_1949.htm#SEC2025
cantoradd	sing_2063.htm#SEC2139
cantormult	sing_2066.htm#SEC2142
cantorred	sing_2064.htm#SEC2140
cardGroup	sing_1227.htm#SEC1303
case	sing_416.htm#SEC456
catNets	sing_2772.htm#SEC2848
cccMatrixToPositiveIntvec	sing_2876.htm#SEC2952
cdd	sing_1.htm#IDX10
cddlib	sing_1.htm#IDX11
center	sing_516.htm#IDX319
center 	sing_522.htm#SEC574
center  	sing_2293.htm#IDX891
center   	sing_2294.htm#IDX892
center    	sing_2295.htm#IDX894
center     	sing_2296.htm#IDX896
centerRed	sing_521.htm#SEC573
centerVS	sing_520.htm#SEC572
central	sing_2287.htm#IDX877
central 	sing_2294.htm#IDX893
central  	sing_2296.htm#IDX895
central   	sing_2310.htm#IDX920
central.lib	sing_516.htm#SEC568
central1st	sing_2555.htm#SEC2631
central2nd	sing_2556.htm#SEC2632
central_lib	sing_516.htm#SEC568
centralize	sing_516.htm#IDX322
centralizeSet	sing_517.htm#SEC569
centralizer	sing_516.htm#IDX320
centralizer 	sing_523.htm#SEC575
centralizerRed	sing_519.htm#SEC571
centralizerVS	sing_518.htm#SEC570
cf_class	sing_210.htm#IDX132
cgs	sing_994.htm#SEC1070
cgsdr	sing_1020.htm#SEC1096
chAll	sing_2384.htm#SEC2460
chAllInv	sing_2385.htm#SEC2461
chDual	sing_2390.htm#SEC2466
chHE	sing_2386.htm#SEC2462
chHom	sing_2399.htm#SEC2475
chNum	sing_2380.htm#SEC2456
chNumbers	sing_2381.htm#SEC2457
chNumbersProj	sing_2418.htm#SEC2494
chProd	sing_2392.htm#SEC2468
chProdE	sing_2393.htm#SEC2469
chProdL	sing_2394.htm#SEC2470
chProdLP	sing_2395.htm#SEC2471
chProdM	sing_2396.htm#SEC2472
chProdMP	sing_2397.htm#SEC2473
chProj	sing_2415.htm#SEC2491
chSum	sing_2388.htm#SEC2464
chSymm	sing_2402.htm#SEC2478
chSymm2L	sing_2403.htm#SEC2479
chSymm2LP	sing_2404.htm#SEC2480
chWedge	sing_2405.htm#SEC2481
chWedge2L	sing_2406.htm#SEC2482
chWedge2LP	sing_2407.htm#SEC2483
chaincrit	sing_2077.htm#SEC2153
chambers	sing_2325.htm#IDX948
chambers 	sing_2326.htm#IDX949
changeCoordinates	sing_2883.htm#SEC2959
changeDenominator	sing_1356.htm#SEC1432
changechar	sing_1102.htm#SEC1178
changeord	sing_1103.htm#SEC1179
changeordTo	sing_1126.htm#SEC1202
changes	sing_2893.htm#SEC2969
changevar	sing_1104.htm#SEC1180
char	sing_213.htm#SEC253
charInfo	sing_577.htm#SEC629
charVariety	sing_576.htm#SEC628
char_series	sing_214.htm#SEC254
characteristic exponents	sing_1577.htm#IDX687
characteristic exponents 	sing_1578.htm#IDX692
characteristic exponents  	sing_1579.htm#IDX695
characteristic exponents   	sing_1580.htm#IDX699
characteristic exponents    	sing_1664.htm#IDX805
characteristic polynomial	sing_2323.htm#IDX946
characteristic variety	sing_560.htm#IDX347
characteristic variety 	sing_662.htm#IDX372
charexp2conductor	sing_1580.htm#SEC1656
charexp2generators	sing_1578.htm#SEC1654
charexp2inter	sing_1579.htm#SEC1655
charexp2multseq	sing_1577.htm#SEC1653
charexp2poly	sing_1581.htm#SEC1657
charpoly	sing_1185.htm#SEC1261
charstr	sing_215.htm#SEC255
checkFactor	sing_553.htm#SEC605
checkRoot	sing_548.htm#SEC600
chern	sing_2379.htm#SEC2455
chern.lib	sing_2374.htm#SEC2450
chernCharPoly	sing_2421.htm#SEC2497
chernPoly	sing_2420.htm#SEC2496
chern_lib	sing_2374.htm#SEC2450
chineseRem	sing_1998.htm#SEC2074
chinrem	sing_216.htm#SEC256
chinrempoly	sing_2798.htm#SEC2874
chinrestp	sing_2057.htm#SEC2133
cimonom.lib	sing_2436.htm#SEC2512
cimonom_lib	sing_2436.htm#SEC2512
cisimplicial.lib	sing_1223.htm#SEC1299
cisimplicial_lib	sing_1223.htm#SEC1299
classification	sing_2356.htm#IDX982
classification 	sing_2440.htm#IDX990
classify	sing_1590.htm#SEC1666
classify.lib	sing_1588.htm#SEC1664
classify2.lib	sing_2440.htm#SEC2516
classify2_lib	sing_2440.htm#SEC2516
classifyCeq	sing_1607.htm#SEC1683
classifyMapGerms.lib	sing_2452.htm#SEC2528
classifyMapGerms_lib	sing_2452.htm#SEC2528
classifySimpleMaps	sing_2458.htm#SEC2534
classifySimpleMaps1	sing_2459.htm#SEC2535
classifyUnimodalMaps	sing_2460.htm#SEC2536
classify_aeq.lib	sing_2443.htm#SEC2519
classify_aeq_lib	sing_2443.htm#SEC2519
classify_lib	sing_1588.htm#SEC1664
classifyceq.lib	sing_1606.htm#IDX702
classifyceq_lib	sing_1606.htm#IDX703
classifyci.lib	sing_1608.htm#IDX704
classifyci_lib	sing_1608.htm#IDX705
classifyicis	sing_1609.htm#SEC1685
classpoly	sing_2419.htm#SEC2495
cleanTmp	sing_2274.htm#SEC2350
cleanunit	sing_1501.htm#SEC1577
cleardenom	sing_217.htm#SEC257
close	sing_218.htm#SEC258
closed_points	sing_1913.htm#SEC1989
closetex	sing_1880.htm#SEC1956
closureFrac	sing_1349.htm#SEC1425
coDim	sing_2454.htm#SEC2530
coDimMap	sing_2453.htm#SEC2529
coHom	sing_705.htm#SEC757
codim	sing_1702.htm#SEC1778
codimension	sing_2127.htm#SEC2203
coding theory	sing_948.htm#SEC1000
coef	sing_219.htm#SEC259
coefficient	sing_2286.htm#IDX873
coefficient 	sing_2287.htm#IDX876
coefficient  	sing_2288.htm#IDX880
coefficient field	sing_144.htm#SEC184
coefficient rings, ring of integers, zero divisors, p-adic numbers	sing_32.htm#SEC45
coefficients	sing_2481.htm#IDX1029
coefficients, long	sing_905.htm#SEC957
coeffmod	sing_1975.htm#SEC2051
coeffs	sing_220.htm#SEC260
coker	sing_2684.htm#SEC2760
colength of derivations	sing_2469.htm#IDX1010
collectDiv	sing_1546.htm#SEC1622
colrank	sing_1947.htm#SEC2023
colred	sing_1168.htm#SEC1244
combinat.lib	sing_2461.htm#SEC2537
combinat_lib	sing_2461.htm#SEC2537
commRing	sing_686.htm#SEC738
comma	sing_417.htm#SEC457
command,custom	sing_187.htm#SEC227
command-line option, setting value of	sing_361.htm#IDX278
command-line option, value of	sing_361.htm#IDX276
command-line options, print all values of	sing_361.htm#IDX275
command-line options, short help	sing_19.htm#IDX38
commands (letterplace)	sing_795.htm#SEC847
commands (plural)	sing_458.htm#IDX299
comment	sing_36.htm#IDX108
compare	sing_2492.htm#IDX1049
compare 	sing_2493.htm#IDX1051
compare  	sing_2494.htm#IDX1055
compare   	sing_2495.htm#IDX1058
compare    	sing_2513.htm#IDX1096
compare     	sing_2514.htm#IDX1098
compareMatrix	sing_2692.htm#SEC2768
compareModules	sing_2687.htm#SEC2763
compareTasks	sing_1133.htm#SEC1209
compareVectors	sing_2712.htm#SEC2788
completeReduction	sing_1780.htm#SEC1856
complex	sing_28.htm#IDX75
complexClassify	sing_2441.htm#SEC2517
complexSingType	sing_1604.htm#SEC1680
complexType	sing_2442.htm#SEC2518
compregb.lib	sing_993.htm#SEC1069
compregb_lib	sing_993.htm#SEC1069
comprehensive Groebner system	sing_993.htm#IDX458
compress	sing_1146.htm#SEC1222
computeAfaceOrbits	sing_2602.htm#SEC2678
computeConstant	sing_1243.htm#SEC1319
computeGromovWitten	sing_1246.htm#SEC1322
computeN	sing_1550.htm#SEC1626
computeV	sing_1549.htm#SEC1625
computemcm	sing_1508.htm#SEC1584
concat	sing_1147.htm#SEC1223
conductor	sing_1357.htm#IDX619
conductor 	sing_1580.htm#IDX698
conductor  	sing_2467.htm#IDX1004
conductor, degree	sing_1664.htm#IDX808
cone	sing_189.htm#SEC229
cone 	sing_2299.htm#IDX900
cone  	sing_2300.htm#IDX902
coneLink	sing_2130.htm#SEC2206
coneViaInequalities	sing_2129.htm#SEC2205
coneViaPoints	sing_2128.htm#SEC2204
conic, parametrization, rational point.	sing_1485.htm#IDX668
conicWithTangents	sing_2250.htm#SEC2326
constructH	sing_1509.htm#SEC1585
constructblwup	sing_1510.htm#SEC1586
constructible set	sing_1040.htm#IDX517
constructible set 	sing_1042.htm#IDX522
constructible sets	sing_1041.htm#IDX520
constructible sets 	sing_1043.htm#IDX525
constructlastblwup	sing_1511.htm#SEC1587
constructor	sing_2316.htm#IDX933
constructor 	sing_2317.htm#IDX936
constructor  	sing_2480.htm#IDX1025
constructor   	sing_2503.htm#IDX1074
constructor    	sing_2504.htm#IDX1076
constructor     	sing_2505.htm#IDX1079
constructor      	sing_2506.htm#IDX1082
contact matrix	sing_1579.htm#IDX694
containedQ	sing_1868.htm#SEC1944
containment	sing_2499.htm#IDX1065
containsAsFace	sing_2131.htm#SEC2207
containsInCollection	sing_2164.htm#SEC2240
containsInSupport	sing_2132.htm#SEC2208
containsPositiveVector	sing_2133.htm#SEC2209
containsRelatively	sing_2134.htm#SEC2210
content	sing_1076.htm#SEC1152
contentSB, option	sing_318.htm#IDX172
continue	sing_385.htm#SEC425
continue 	sing_419.htm#SEC459
contraHom	sing_706.htm#SEC758
contract	sing_221.htm#SEC261
contraction	sing_2516.htm#IDX1104
contraction 	sing_2517.htm#IDX1106
contraction  	sing_2518.htm#IDX1108
contribution bundle, graph, multiple cover, rational curve,	sing_2857.htm#IDX1214
contributionBundle	sing_2857.htm#SEC2933
contributors	sing_361.htm#IDX199
control	sing_1939.htm#SEC2015
control.lib	sing_1938.htm#SEC2014
controlDim	sing_1940.htm#SEC2016
controlExample	sing_1952.htm#SEC2028
control_Matrix	sing_1632.htm#SEC1708
control_lib	sing_1938.htm#SEC2014
convertLeftToRightFraction	sing_756.htm#SEC808
convertRightToLeftFraction	sing_755.htm#SEC807
convertdata	sing_1506.htm#SEC1582
convexHull	sing_2135.htm#SEC2211
convexIntersection	sing_2136.htm#SEC2212
convloc	sing_557.htm#SEC609
coordinate change	sing_2296.htm#IDX897
coordinate change 	sing_2297.htm#IDX898
coordinate change  	sing_2298.htm#IDX899
coordinates	sing_2095.htm#IDX850
coords	sing_2095.htm#SEC2171
copyTask	sing_1132.htm#SEC1208
copyright	sing_1.htm#IDX1
corank	sing_1591.htm#SEC1667
cornerMonomials	sing_1387.htm#SEC1463
countPoints	sing_2020.htm#SEC2096
coverings	sing_1245.htm#IDX572
coverings 	sing_1246.htm#IDX576
cpu	sing_361.htm#IDX201
cpu 	sing_361.htm#IDX272
createBO	sing_1537.htm#SEC1613
createGradedRingHomomorphism	sing_2731.htm#SEC2807
createGroup	sing_2724.htm#SEC2800
createQuotientGroup	sing_2725.htm#SEC2801
createTask	sing_1130.htm#SEC1206
createTorsionFreeGroup	sing_2726.htm#SEC2802
create_ring	sing_222.htm#SEC262
createlist	sing_1519.htm#SEC1595
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_223.htm#SEC263
crypto.lib	sing_1993.htm#SEC2069
crypto_lib	sing_1993.htm#SEC2069
crystallographicGroupC2MM	sing_827.htm#SEC879
crystallographicGroupCM	sing_826.htm#SEC878
crystallographicGroupP1	sing_820.htm#SEC872
crystallographicGroupP2	sing_824.htm#SEC876
crystallographicGroupP2GG	sing_825.htm#SEC877
crystallographicGroupP2MM	sing_823.htm#SEC875
crystallographicGroupP3	sing_831.htm#SEC883
crystallographicGroupP31M	sing_832.htm#SEC884
crystallographicGroupP3M1	sing_833.htm#SEC885
crystallographicGroupP4	sing_828.htm#SEC880
crystallographicGroupP4GM	sing_830.htm#SEC882
crystallographicGroupP4MM	sing_829.htm#SEC881
crystallographicGroupP6	sing_834.htm#SEC886
crystallographicGroupP6MM	sing_835.htm#SEC887
crystallographicGroupPG	sing_822.htm#SEC874
crystallographicGroupPM	sing_821.htm#SEC873
cup	sing_1259.htm#SEC1335
cupproduct	sing_1260.htm#SEC1336
curve singularities	sing_1570.htm#IDX681
curve singularities 	sing_1658.htm#IDX803
curve singularity	sing_2465.htm#IDX999
curveColengthDerivations	sing_2469.htm#SEC2545
curveConductorMult	sing_2467.htm#SEC2543
curveDeligneNumber	sing_2468.htm#SEC2544
curveDeltaInv	sing_2466.htm#SEC2542
curveInv.lib	sing_2465.htm#SEC2541
curveInv_lib	sing_2465.htm#SEC2541
curvepar.lib	sing_1611.htm#SEC1687
curvepar_lib	sing_1611.htm#SEC1687
custom assignment	sing_188.htm#SEC228
custom command	sing_187.htm#SEC227
custom type	sing_184.htm#SEC224
customstd.lib	sing_2328.htm#SEC2404
customstd_lib	sing_2328.htm#SEC2404
cycleLength	sing_2187.htm#SEC2263
cyclePoints	sing_2191.htm#SEC2267
cyclic	sing_1063.htm#SEC1139
cyclic code	sing_980.htm#SEC1039
cyclotomic	sing_1745.htm#SEC1821
datetime	sing_224.htm#SEC264
dbprint	sing_225.htm#SEC265
deRham.lib	sing_2470.htm#SEC2546
deRhamCohom	sing_574.htm#SEC626
deRhamCohomIdeal	sing_575.htm#SEC627
deRhamCohomology	sing_2471.htm#SEC2547
deRham_lib	sing_2470.htm#SEC2546
debugLib, option	sing_318.htm#IDX176
debug_log	sing_1601.htm#SEC1677
debugger	sing_66.htm#SEC103
debugging library code	sing_66.htm#SEC103
dec1var	sing_1317.htm#SEC1393
decimal	sing_1994.htm#SEC2070
decode	sing_1930.htm#SEC2006
decodeCode	sing_1932.htm#SEC2008
decodeRandom	sing_1931.htm#SEC2007
decodeRandomFL	sing_1935.htm#SEC2011
decodeSV	sing_1912.htm#SEC1988
decodegb.lib	sing_1917.htm#SEC1993
decodegb_lib	sing_1917.htm#SEC1993
decoding, decoding problem	sing_980.htm#SEC1040
decoef	sing_1960.htm#SEC2036
decomposeVecField	sing_2889.htm#SEC2965
decomposition	sing_2481.htm#IDX1027
decomposition of modules	sing_1310.htm#IDX602
decomposition, numerical	sing_1457.htm#IDX636
decone	sing_2299.htm#IDX901
decone 	sing_2300.htm#IDX903
def	sing_88.htm#SEC128
def declarations	sing_89.htm#SEC129
defRes, option	sing_318.htm#IDX177
default argument	sing_44.htm#SEC81
defineHomogeneous	sing_2764.htm#SEC2840
defined	sing_226.htm#SEC266
defl	sing_1468.htm#SEC1544
deform	sing_1703.htm#SEC1779
deform.lib	sing_1622.htm#SEC1698
deform_lib	sing_1622.htm#SEC1698
defring	sing_1105.htm#SEC1181
defringp	sing_1107.htm#SEC1183
defrings	sing_1106.htm#SEC1182
deg	sing_227.htm#SEC267
degBound	sing_399.htm#SEC439
degree	sing_228.htm#SEC268
degree 	sing_422.htm#IDX289
degree  	sing_2496.htm#IDX1060
degree   	sing_2498.htm#IDX1064
degree lexicographical ordering	sing_954.htm#IDX432
degree of a polynomial	sing_422.htm#IDX293
degree reverse lexicographical ordering	sing_954.htm#IDX430
degreeDivisor	sing_2527.htm#SEC2603
degreeFormalDivisor	sing_2535.htm#SEC2611
degreepart	sing_1820.htm#SEC1896
delete	sing_126.htm#SEC166
delete 	sing_229.htm#SEC269
delete  	sing_279.htm#SEC319
deleteGenerator	sing_589.htm#SEC641
deleteSublist	sing_1002.htm#SEC1078
deligne number	sing_2465.htm#IDX1001
deligne number 	sing_2468.htm#IDX1006
deligne number  	sing_2469.htm#IDX1008
delta	sing_1670.htm#SEC1746
delta invariant	sing_1351.htm#IDX617
delta invariant 	sing_1670.htm#IDX813
delta invariant  	sing_2466.htm#IDX1002
delta invariant.	sing_1343.htm#IDX610
delta invariant. 	sing_1344.htm#IDX613
delta invariant.  	sing_1345.htm#IDX616
deltaLoc	sing_1351.htm#SEC1427
denom_list	sing_361.htm#IDX203
denominator	sing_230.htm#SEC270
depth	sing_1261.htm#SEC1337
depthIdeal	sing_1327.htm#SEC1403
derivate	sing_1777.htm#SEC1853
derivation	sing_2313.htm#IDX924
derivation 	sing_2501.htm#IDX1069
derivation  	sing_2502.htm#IDX1073
derivation   	sing_2503.htm#IDX1075
derivation    	sing_2504.htm#IDX1077
derivation     	sing_2505.htm#IDX1080
derivation      	sing_2506.htm#IDX1083
derivation       	sing_2515.htm#IDX1102
derivationAdd	sing_2509.htm#SEC2585
derivationCheckList	sing_2504.htm#SEC2580
derivationConstructor	sing_2506.htm#SEC2582
derivationContraction	sing_2517.htm#SEC2593
derivationContractionGen	sing_2516.htm#SEC2592
derivationEqu	sing_2513.htm#SEC2589
derivationEval	sing_2515.htm#SEC2591
derivationFromList	sing_2503.htm#SEC2579
derivationFromPoly	sing_2505.htm#SEC2581
derivationLie	sing_2518.htm#SEC2594
derivationMul	sing_2512.htm#SEC2588
derivationNeg	sing_2511.htm#SEC2587
derivationNeq	sing_2514.htm#SEC2590
derivationPrint	sing_2508.htm#SEC2584
derivationSub	sing_2510.htm#SEC2586
derivationToString	sing_2507.htm#SEC2583
desingularization	sing_2621.htm#IDX1139
desingularization 	sing_2622.htm#SEC2698
det	sing_231.htm#SEC271
det_B	sing_1187.htm#SEC1263
detadj	sing_1686.htm#SEC1762
determinacy	sing_2806.htm#SEC2882
determinecenter	sing_1491.htm#SEC1567
detropicalise	sing_2268.htm#SEC2344
develop	sing_1660.htm#SEC1736
diag	sing_1148.htm#SEC1224
diagInvariants	sing_1366.htm#SEC1442
diag_test	sing_1183.htm#SEC1259
diagonalizeMatrixSimul	sing_2890.htm#SEC2966
diagonalizeVecField	sing_2887.htm#SEC2963
diagonalizeVecFieldLin	sing_2885.htm#SEC2961
diff	sing_232.htm#SEC272
diffAlgebra	sing_2474.htm#SEC2550
diffAlgebraChangeOrd	sing_2478.htm#SEC2554
diffAlgebraGens	sing_2476.htm#SEC2552
diffAlgebraListGen	sing_2479.htm#SEC2555
diffAlgebraStructure	sing_2475.htm#SEC2551
diffAlgebraUnivDerIdeal	sing_2477.htm#SEC2553
diffRat	sing_685.htm#SEC737
difference	sing_2488.htm#IDX1043
difference 	sing_2510.htm#IDX1091
difference  	sing_2511.htm#IDX1093
differential	sing_2480.htm#IDX1026
differential 	sing_2502.htm#IDX1071
differential algebra	sing_2473.htm#IDX1013
differential algebra 	sing_2474.htm#IDX1014
differential algebra  	sing_2475.htm#IDX1017
differential algebra   	sing_2476.htm#IDX1018
differential algebra    	sing_2477.htm#IDX1020
differential forms	sing_2473.htm#IDX1011
differential forms 	sing_2474.htm#IDX1015
differentials	sing_2473.htm#IDX1012
differentials 	sing_2474.htm#IDX1016
difform.lib	sing_2473.htm#SEC2549
difformAdd	sing_2487.htm#SEC2563
difformCoef	sing_2481.htm#SEC2557
difformDeg	sing_2496.htm#SEC2572
difformDiff	sing_2502.htm#SEC2578
difformDiv	sing_2491.htm#SEC2567
difformEqu	sing_2492.htm#SEC2568
difformFromPoly	sing_2480.htm#SEC2556
difformGenToString	sing_2482.htm#SEC2558
difformHomogDecomp	sing_2483.htm#SEC2559
difformIsBigger	sing_2494.htm#SEC2570
difformIsGen	sing_2486.htm#SEC2562
difformIsHomog	sing_2497.htm#SEC2573
difformIsHomogDeg	sing_2498.htm#SEC2574
difformIsSmaller	sing_2495.htm#SEC2571
difformListCont	sing_2499.htm#SEC2575
difformListSort	sing_2500.htm#SEC2576
difformMul	sing_2490.htm#SEC2566
difformNeg	sing_2489.htm#SEC2565
difformNeq	sing_2493.htm#SEC2569
difformPrint	sing_2485.htm#SEC2561
difformSub	sing_2488.htm#SEC2564
difformToString	sing_2484.htm#SEC2560
difformUnivDer	sing_2501.htm#SEC2577
difform_lib	sing_2473.htm#SEC2549
difpoly2tex	sing_1961.htm#SEC2037
dim	sing_233.htm#SEC273
dim (plural)	sing_461.htm#SEC501
dimGradedPart	sing_1559.htm#SEC1635
dimH	sing_1558.htm#SEC1634
dimMon	sing_1307.htm#SEC1383
dimStack	sing_2855.htm#SEC2931
dim_slocus	sing_1704.htm#SEC1780
dimension	sing_2137.htm#SEC2213
dimension, moduli space of stable maps, rational curves	sing_2855.htm#IDX1212
dimensionOfLocalization	sing_2585.htm#SEC2661
direct_boolean_poly	sing_2341.htm#SEC2417
direct_from_boolean_poly	sing_2347.htm#SEC2423
disc	sing_1981.htm#SEC2057
discr	sing_1726.htm#SEC1802
discrepancy	sing_1544.htm#SEC1620
discrim	sing_1035.htm#SEC1111
discussion of parametric ideal	sing_1019.htm#IDX462
disjoint	sing_1020.htm#IDX464
disp_zdd	sing_2354.htm#SEC2430
displayCohom	sing_1560.htm#SEC1636
displayHNE	sing_1663.htm#SEC1739
displayInvariants	sing_1665.htm#SEC1741
displayMultsequence	sing_1667.htm#SEC1743
displayPuiseuxExpansion	sing_2243.htm#SEC2319
displayTropicalLifting	sing_2241.htm#SEC2317
distributed computing	sing_1056.htm#IDX534
distributed computing 	sing_1096.htm#IDX536
distributed computing  	sing_1129.htm#IDX546
div	sing_81.htm#SEC121
div 	sing_98.htm#SEC138
div  	sing_155.htm#SEC195
div   	sing_422.htm#IDX286
divideUnits	sing_1957.htm#SEC2033
dividelist	sing_1518.htm#SEC1594
division	sing_234.htm#SEC274
division 	sing_1021.htm#IDX467
division  	sing_1022.htm#IDX469
division   	sing_2491.htm#IDX1048
division (plural)	sing_462.htm#SEC502
divisor	sing_2060.htm#SEC2136
divisorplus	sing_2521.htm#SEC2597
divisors	sing_2520.htm#IDX1109
divisors 	sing_2521.htm#IDX1110
divisors  	sing_2522.htm#IDX1111
divisors   	sing_2523.htm#IDX1112
divisors    	sing_2524.htm#IDX1113
divisors     	sing_2525.htm#IDX1114
divisors      	sing_2526.htm#IDX1115
divisors       	sing_2527.htm#IDX1116
divisors        	sing_2528.htm#IDX1117
divisors         	sing_2529.htm#IDX1118
divisors          	sing_2530.htm#IDX1119
divisors           	sing_2531.htm#IDX1120
divisors            	sing_2532.htm#IDX1121
divisors             	sing_2533.htm#IDX1122
divisors              	sing_2534.htm#IDX1123
divisors               	sing_2535.htm#IDX1124
divisors, polyhedra	sing_2536.htm#IDX1125
divisors, polyhedra 	sing_2537.htm#IDX1126
divisors, polyhedra  	sing_2538.htm#IDX1127
divisors.lib	sing_2519.htm#SEC2595
divisors_lib	sing_2519.htm#SEC2595
dmod.lib	sing_537.htm#SEC589
dmodAction	sing_680.htm#SEC732
dmodActionRat	sing_681.htm#SEC733
dmodGeneralAssumptionCheck	sing_673.htm#SEC725
dmod_lib	sing_537.htm#SEC589
dmodapp.lib	sing_560.htm#SEC612
dmodapp_lib	sing_560.htm#SEC612
dmodideal.lib	sing_593.htm#SEC645
dmodideal_lib	sing_593.htm#SEC645
dmodloc.lib	sing_662.htm#IDX365
dmodloc_lib	sing_662.htm#IDX366
dmodoublext	sing_707.htm#SEC759
dmodvar.lib	sing_601.htm#SEC653
dmodvar_lib	sing_601.htm#SEC653
double	sing_2065.htm#SEC2141
doubleExt	sing_778.htm#SEC830
downloading	sing_2901.htm#SEC2992
dp, global ordering	sing_954.htm#IDX431
drawNewtonSubdivision	sing_2246.htm#SEC2322
drawTropicalCurve	sing_2245.htm#SEC2321
ds, local ordering	sing_955.htm#IDX441
dsum	sing_1149.htm#SEC1225
dualCone	sing_2138.htm#SEC2214
dualConic	sing_2270.htm#SEC2346
dualPart	sing_2427.htm#SEC2503
dualPartition	sing_2868.htm#SEC2944
dualPolytope	sing_2177.htm#SEC2253
dualSheaf	sing_2846.htm#SEC2922
dual_code	sing_1914.htm#SEC1990
dump	sing_235.htm#SEC275
dyckGroup1	sing_836.htm#SEC888
dyckGroup2	sing_837.htm#SEC889
dyckGroup3	sing_838.htm#SEC890
dynamic geometry	sing_1028.htm#IDX491
dynamic geometry 	sing_1029.htm#IDX494
ecart	sing_2068.htm#SEC2144
echo	sing_400.htm#SEC440
eexgcdN	sing_1995.htm#SEC2071
effective	sing_2529.htm#SEC2605
egcdMain	sing_1861.htm#SEC1937
ehrhartPolynomialCoeff	sing_2197.htm#SEC2273
ehrhartRing	sing_1362.htm#SEC1438
eigenvals	sing_1195.htm#SEC1271
eigenvalue	sing_331.htm#SEC371
eigenvalue 	sing_1195.htm#IDX552
eigenvalues	sing_1445.htm#SEC1521
elemSymmId	sing_1064.htm#SEC1140
elim	sing_1232.htm#SEC1308
elim.lib	sing_1229.htm#SEC1305
elim1	sing_1233.htm#SEC1309
elim2	sing_1234.htm#SEC1310
elimRing	sing_1231.htm#SEC1307
elimWeight	sing_720.htm#SEC772
elim_lib	sing_1229.htm#SEC1305
eliminate	sing_236.htm#SEC276
eliminate (plural)	sing_463.htm#SEC503
eliminateNC	sing_715.htm#SEC767
elimination	sing_714.htm#IDX380
elimlinearpart	sing_1821.htm#SEC1897
elimpart	sing_1822.htm#SEC1898
elimpartanyr	sing_1823.htm#SEC1899
elimrep	sing_1499.htm#SEC1575
elliptic curve	sing_1242.htm#IDX568
elliptic curves	sing_1239.htm#IDX562
elliptic curves 	sing_1245.htm#IDX571
elliptic curves  	sing_1246.htm#IDX575
ellipticAdd	sing_2016.htm#SEC2092
ellipticAllPoints	sing_2021.htm#SEC2097
ellipticMult	sing_2017.htm#SEC2093
ellipticNF	sing_2194.htm#SEC2270
ellipticNFDB	sing_2195.htm#SEC2271
ellipticRandomCurve	sing_2018.htm#SEC2094
ellipticRandomPoint	sing_2019.htm#SEC2095
ellipticcovers.lib	sing_1239.htm#IDX556
ellipticcovers_lib	sing_1239.htm#IDX557
else	sing_390.htm#SEC430
embedMat	sing_746.htm#SEC798
emptyFan	sing_2165.htm#SEC2241
encode	sing_1922.htm#SEC1998
endomorphism filtration	sing_1644.htm#IDX779
endvfilt	sing_1644.htm#SEC1720
engine	sing_590.htm#SEC642
ensureLeftNcfrac	sing_695.htm#SEC747
ensureRightNcfrac	sing_696.htm#SEC748
envelop	sing_1030.htm#SEC1106
envelop 	sing_1030.htm#IDX497
envelop  	sing_1031.htm#IDX500
envelop   	sing_1033.htm#IDX505
envelop    	sing_1034.htm#IDX509
envelope	sing_464.htm#SEC504
enveloping algebra	sing_361.htm#IDX207
enveloping algebra 	sing_495.htm#IDX303
environment variable, DISPLAY	sing_16.htm#IDX29
environment variables	sing_2902.htm#SEC2993
equal	sing_2492.htm#IDX1050
equal 	sing_2493.htm#IDX1052
equal  	sing_2513.htm#IDX1097
equal   	sing_2514.htm#IDX1099
equalJinI	sing_1587.htm#SEC1663
equalMultiDeg	sing_2757.htm#SEC2833
equations	sing_2139.htm#SEC2215
equiRadical	sing_1403.htm#SEC1479
equidim	sing_1405.htm#SEC1481
equidimMax	sing_1406.htm#SEC1482
equidimMaxEHV	sing_1407.htm#SEC1483
equidimZ	sing_1418.htm#SEC1494
equising.lib	sing_1627.htm#SEC1703
equising_lib	sing_1627.htm#SEC1703
equisingular Tjurina number	sing_1570.htm#IDX686
equisingularity ideal	sing_1629.htm#IDX706
equisingularity stratum	sing_1630.htm#IDX707
error recovery	sing_15.htm#SEC21
errorInsert	sing_1925.htm#SEC2001
errorRand	sing_1926.htm#SEC2002
errormap	sing_2561.htm#SEC2637
esIdeal	sing_1629.htm#SEC1705
esStratum	sing_1630.htm#SEC1706
essential	sing_2303.htm#IDX906
essential 	sing_2304.htm#IDX907
eta	sing_2189.htm#SEC2265
euler	sing_1974.htm#SEC2050
eulerChProj	sing_2417.htm#SEC2493
eval	sing_237.htm#SEC277
evalJacobianAtBox	sing_2817.htm#SEC2893
evalPolyAtBox	sing_2816.htm#SEC2892
evaluateFormalDivisor	sing_2531.htm#SEC2607
evaluatePDivisor	sing_2537.htm#SEC2613
evaluateProduct	sing_2612.htm#SEC2688
evaluate_reynolds	sing_1750.htm#SEC1826
evaluation	sing_2515.htm#IDX1101
evalutateIntegral	sing_1244.htm#SEC1320
example	sing_239.htm#SEC279
example 	sing_2305.htm#IDX908
example  	sing_2306.htm#IDX910
example   	sing_2307.htm#IDX912
example    	sing_2308.htm#IDX914
example     	sing_2309.htm#IDX916
example      	sing_2310.htm#IDX918
example       	sing_2311.htm#IDX921
execute	sing_240.htm#SEC280
exit	sing_394.htm#SEC434
exp2pt	sing_1962.htm#SEC2038
expo	sing_1986.htm#SEC2062
exponents	sing_2315.htm#IDX929
export	sing_387.htm#SEC427
exportNuminvs	sing_1370.htm#SEC1446
exportto	sing_388.htm#SEC428
expp	sing_2866.htm#SEC2942
expression list	sing_72.htm#IDX128
expression list 	sing_426.htm#IDX296
ext-module	sing_770.htm#IDX386
extcurve	sing_1908.htm#SEC1984
extdevelop	sing_1661.htm#SEC1737
extendGC	sing_1027.htm#SEC1103
extendWeyl	sing_674.htm#SEC726
extendedTensor	sing_721.htm#SEC773
extendpoly	sing_1026.htm#SEC1102
extendring	sing_1108.htm#SEC1184
extension of rings	sing_1423.htm#IDX628
exterior basis	sing_1174.htm#IDX549
exterior power	sing_1176.htm#IDX551
exteriorBasis	sing_1174.htm#SEC1250
exteriorPower	sing_1176.htm#SEC1252
extgcd	sing_241.htm#SEC281
extractS	sing_600.htm#SEC652
fVector	sing_2168.htm#SEC2244
fVectorP	sing_2198.htm#SEC2274
facFirstShift	sing_655.htm#SEC707
facFirstWeyl	sing_651.htm#SEC703
facGBIdeal	sing_1388.htm#SEC1464
facShift	sing_654.htm#SEC706
facSubWeyl	sing_653.htm#SEC705
facWeyl	sing_650.htm#SEC702
faceContaining	sing_2140.htm#SEC2216
facetVertexLatticeDistances	sing_2199.htm#SEC2275
facetWidth	sing_2200.htm#SEC2276
facetWidths	sing_2201.htm#SEC2277
facets	sing_2141.htm#SEC2217
facstd	sing_242.htm#SEC282
factmodd	sing_243.htm#SEC283
factor	sing_325.htm#SEC365
factorH	sing_1017.htm#SEC1093
factorLenstraECM	sing_2025.htm#SEC2101
factorMain	sing_1862.htm#SEC1938
factorgroup	sing_2747.htm#SEC2823
factorial	sing_1003.htm#SEC1079
factorization	sing_326.htm#SEC366
factorization 	sing_1204.htm#IDX553
factorize	sing_244.htm#SEC284
factorize 	sing_325.htm#SEC365
factory	sing_1.htm#IDX2
fan	sing_190.htm#SEC230
fan 	sing_2181.htm#IDX855
fanViaCones	sing_2166.htm#SEC2242
farey	sing_245.htm#SEC285
fareypoly	sing_2540.htm#SEC2616
fastExpt	sing_1970.htm#SEC2046
fastHC, option	sing_318.htm#IDX153
fastelim	sing_1824.htm#SEC1900
fetch	sing_246.htm#SEC286
fetch (plural)	sing_465.htm#SEC505
fetchall	sing_1109.htm#SEC1185
ffmodStd	sing_2546.htm#SEC2622
ffmodstd.lib	sing_2539.htm#SEC2615
ffmodstd_lib	sing_2539.htm#SEC2615
ffsolve	sing_1813.htm#SEC1889
ffsolve.lib	sing_1812.htm#SEC1888
ffsolve_lib	sing_1812.htm#SEC1888
fglm	sing_247.htm#SEC287
fglm 	sing_358.htm#IDX187
fglm_solve	sing_1840.htm#SEC1916
fglmquot	sing_248.htm#SEC288
fibonacci	sing_1004.htm#SEC1080
fibonacciGroup	sing_839.htm#SEC891
field	sing_144.htm#SEC184
file, .singularrc	sing_20.htm#IDX71
filecmd	sing_249.htm#SEC289
filtration	sing_770.htm#IDX387
finalCharts	sing_1523.htm#SEC1599
find	sing_250.htm#SEC290
findAuto	sing_609.htm#SEC661
findInvo	sing_607.htm#SEC659
findInvoDiag	sing_608.htm#SEC660
findOrientedBoundary	sing_2190.htm#SEC2266
findTorsion	sing_1951.htm#SEC2027
find_first_primitive_root	sing_2029.htm#SEC2105
find_index	sing_2033.htm#SEC2109
findifs.lib	sing_1958.htm#SEC2034
findifs_example	sing_1959.htm#SEC2035
findifs_lib	sing_1958.htm#SEC2034
findimAlgebra	sing_730.htm#SEC782
finduni	sing_251.htm#SEC291
findvars	sing_1825.htm#SEC1901
finite field	sing_144.htm#SEC184
finite field 	sing_1812.htm#IDX828
finiteDiagInvariants	sing_1365.htm#SEC1441
finitediff.lib	sing_2547.htm#IDX1128
finitediff_lib	sing_2547.htm#IDX1129
finitely presented algebra	sing_807.htm#IDX394
finitely presented algebra 	sing_813.htm#IDX400
finitely presented algebra  	sing_842.htm#IDX403
finitely presented algebra   	sing_849.htm#IDX415
finitely presented algebra    	sing_863.htm#IDX416
finitely presented algebra, standard finitely presented algebra	sing_802.htm#IDX393
finitely presented group	sing_813.htm#IDX401
finitenessTest	sing_1218.htm#SEC1294
finiterep	sing_1803.htm#SEC1879
finvar.lib	sing_1738.htm#SEC1814
finvar_lib	sing_1738.htm#SEC1814
first index is 1	sing_421.htm#SEC461
firstoct	sing_1873.htm#SEC1949
fitting	sing_1264.htm#SEC1340
fixed points, moduli space of stable maps, graph	sing_2856.htm#IDX1213
fixedPoints	sing_2856.htm#SEC2932
fl2poly	sing_587.htm#SEC639
flatten	sing_1150.htm#SEC1226
flatteningStrat	sing_1265.htm#SEC1341
flintQ	sing_252.htm#SEC292
floating point	sing_1118.htm#IDX539
for	sing_389.htm#SEC429
formal linear representations	sing_866.htm#IDX424
formaldivisorplus	sing_2532.htm#SEC2608
forward	sing_2553.htm#SEC2629
fourier	sing_582.htm#SEC634
fouriersystem	sing_2564.htm#SEC2640
fpadim.lib	sing_807.htm#SEC859
fpadim_lib	sing_807.htm#SEC859
fpalgebras.lib	sing_813.htm#SEC865
fpalgebras_lib	sing_813.htm#SEC865
fpaprops.lib	sing_842.htm#SEC894
fpaprops_lib	sing_842.htm#SEC894
fprintf	sing_254.htm#SEC294
fracStatus	sing_751.htm#SEC803
framed sheaves	sing_2571.htm#IDX1136
frandwalk	sing_2829.htm#SEC2905
free	sing_2314.htm#IDX926
free 	sing_2315.htm#IDX928
free associative algebra	sing_813.htm#IDX399
free associative algebra 	sing_849.htm#IDX411
free associative algebra, tensor algebra	sing_802.htm#SEC854
free noncommutative Groebner basis	sing_849.htm#IDX413
freeAlgebra (letterplace)	sing_796.htm#SEC848
freeModule	sing_2664.htm#SEC2740
freeModule2Module	sing_2693.htm#SEC2769
freegb.lib	sing_849.htm#SEC901
freegb_lib	sing_849.htm#SEC901
freemodule	sing_255.htm#SEC295
freerank	sing_1066.htm#SEC1142
fres	sing_256.htm#SEC296
from_boolean_constant	sing_2345.htm#SEC2421
from_boolean_ideal	sing_2349.htm#SEC2425
from_boolean_poly	sing_2346.htm#SEC2422
from_boolean_set	sing_2350.htm#SEC2426
frwalk	sing_257.htm#SEC297
full representation	sing_1026.htm#IDX483
full representation 	sing_1027.htm#IDX488
fullDimImages	sing_2593.htm#SEC2669
fullFan	sing_2167.htm#SEC2243
fullSerreRelations	sing_816.htm#SEC868
fullSpace	sing_2122.htm#SEC2198
furtherInvar	sing_1782.htm#SEC1858
further_hn_proc	sing_1678.htm#SEC1754
fwalk	sing_1251.htm#SEC1327
galois field	sing_144.htm#SEC184
gauss_col	sing_1159.htm#SEC1235
gauss_nf	sing_1190.htm#SEC1266
gauss_row	sing_1160.htm#SEC1236
gaussred	sing_1188.htm#SEC1264
gaussred_pivot	sing_1189.htm#SEC1265
gcd	sing_258.htm#SEC298
gcdMon	sing_1296.htm#SEC1372
gcddivisor	sing_2061.htm#SEC2137
gen	sing_259.htm#SEC299
genMDSMat	sing_1928.htm#SEC2004
genSymId	sing_1442.htm#SEC1518
general error-locator polynomial	sing_981.htm#SEC1046
general neron.	sing_2621.htm#IDX1140
general weighted lexicographical ordering	sing_955.htm#IDX447
general weighted reverse lexicographical ordering	sing_955.htm#IDX444
general.lib	sing_996.htm#SEC1072
generalOrder	sing_2086.htm#SEC2162
general_lib	sing_996.htm#SEC1072
generateG	sing_2024.htm#SEC2100
generator	sing_2476.htm#IDX1019
generator 	sing_2486.htm#IDX1039
generator  	sing_2516.htm#IDX1105
generators	sing_1578.htm#IDX690
generators 	sing_2479.htm#IDX1023
generators  	sing_2481.htm#IDX1028
generators   	sing_2482.htm#IDX1032
generatorsOfLinealitySpace	sing_2142.htm#SEC2218
generatorsOfSpan	sing_2143.htm#SEC2219
generic representation	sing_1026.htm#IDX482
genericid	sing_1084.htm#SEC1160
genericity	sing_1948.htm#SEC2024
genericmat	sing_1151.htm#SEC1227
genoutput	sing_1512.htm#SEC1588
genus	sing_1347.htm#SEC1423
geometrical locus	sing_1028.htm#IDX489
geometrical locus 	sing_1029.htm#IDX492
geometrical locus  	sing_1030.htm#IDX495
geometrical locus   	sing_1031.htm#IDX498
geometrical locus    	sing_1032.htm#IDX501
geometrical locus     	sing_1033.htm#IDX503
geometrical locus      	sing_1034.htm#IDX507
getArguments	sing_1141.htm#SEC1217
getCommand	sing_1140.htm#SEC1216
getCone	sing_2169.htm#SEC2245
getGradingGroup	sing_2722.htm#SEC2798
getLattice	sing_2723.htm#SEC2799
getLinearForms	sing_2144.htm#SEC2220
getModuleGrading	sing_2733.htm#SEC2809
getMultiplicity	sing_2145.htm#SEC2221
getOneVar	sing_1355.htm#SEC1431
getResult	sing_1142.htm#SEC1218
getSmallest	sing_1354.htm#SEC1430
getState	sing_1143.htm#SEC1219
getVariableWeights	sing_2721.htm#SEC2797
getcores	sing_1099.htm#SEC1175
getdump	sing_260.htm#SEC300
getenv	sing_361.htm#IDX209
gfan.lib	sing_2121.htm#SEC2197
gfan_lib	sing_2121.htm#SEC2197
gfanlib	sing_1.htm#IDX9
gitCone	sing_2620.htm#SEC2696
gitfan.lib	sing_2590.htm#SEC2666
gitfan_lib	sing_2590.htm#SEC2666
gkdim.lib	sing_614.htm#SEC666
gkdim_lib	sing_614.htm#SEC666
global	sing_210.htm#IDX133
global Bernstein-Sato ideal	sing_593.htm#IDX352
global Bernstein-Sato polynomial	sing_502.htm#IDX310
global Bernstein-Sato polynomial 	sing_537.htm#IDX328
global Bernstein-Sato polynomial for variety	sing_601.htm#IDX360
global homological dimension	sing_842.htm#IDX408
globalSections	sing_2526.htm#SEC2602
gmscoeffs	sing_1636.htm#SEC1712
gmsnf	sing_1635.htm#SEC1711
gmspoly.lib	sing_1655.htm#SEC1731
gmspoly_lib	sing_1655.htm#SEC1731
gmsring	sing_1634.htm#SEC1710
gmssing.lib	sing_1633.htm#SEC1709
gmssing_lib	sing_1633.htm#SEC1709
goettsche.lib	sing_2571.htm#SEC2647
goettsche_lib	sing_2571.htm#SEC2647
good basis	sing_1633.htm#IDX718
good basis 	sing_1643.htm#IDX773
good basis  	sing_1655.htm#IDX789
good basis   	sing_1657.htm#IDX800
goodBasis	sing_1657.htm#SEC1733
gorensteinIndex	sing_2202.htm#SEC2278
gorensteinVector	sing_2203.htm#SEC2279
graal.lib	sing_2583.htm#SEC2659
graalMixed	sing_2584.htm#SEC2660
graal_lib	sing_2583.htm#SEC2659
gradeNumber	sing_774.htm#SEC826
graded	sing_2479.htm#IDX1024
graded Hilbert series	sing_863.htm#IDX418
graded Weyl algebra	sing_502.htm#IDX313
graded algebra	sing_2365.htm#IDX985
graded module, graded piece	sing_1559.htm#IDX676
graded modules, graded homomorphisms, syzygies	sing_2623.htm#IDX1141
graded modules, handling of	sing_920.htm#SEC972
graded-module, graded-resolution, homogenoues-matrix, R-module-homomorphism	sing_2661.htm#IDX1143
gradedModules.lib	sing_2623.htm#SEC2699
gradedModules_lib	sing_2623.htm#SEC2699
gradiator	sing_2766.htm#SEC2842
graph	sing_1240.htm#IDX566
graph 	sing_1241.htm#IDX567
graph  	sing_2851.htm#IDX1208
graph   	sing_2852.htm#IDX1209
graphics.lib	sing_1875.htm#SEC1951
graphics_lib	sing_1875.htm#SEC1951
graphviz	sing_1.htm#IDX13
graver4ti2	sing_1440.htm#SEC1516
grconcat	sing_2646.htm#SEC2722
grdeg	sing_2626.htm#SEC2702
grgens	sing_2635.htm#SEC2711
grgroebner	sing_2645.htm#SEC2721
grlift	sing_2643.htm#SEC2719
grlifting	sing_2650.htm#SEC2726
grlifting2	sing_2651.htm#SEC2727
grlifting3	sing_2653.htm#SEC2729
grneg	sing_2656.htm#SEC2732
grobcov	sing_1019.htm#SEC1095
grobcov.lib	sing_1018.htm#SEC1094
grobcov_lib	sing_1018.htm#SEC1094
grobj	sing_2624.htm#SEC2700
groebner	sing_261.htm#SEC301
groebner 	sing_912.htm#SEC964
groebner basis computations	sing_261.htm#IDX147
groebnerComplex	sing_2281.htm#SEC2357
groebnerCone	sing_2275.htm#SEC2351
groebnerFan	sing_2280.htm#SEC2356
gromovWitten	sing_1245.htm#SEC1321
grorder	sing_2637.htm#SEC2713
ground field	sing_144.htm#SEC184
groupActionOnHashes	sing_2608.htm#SEC2684
groupActionOnQImage	sing_2607.htm#SEC2683
group_reynolds	sing_1746.htm#SEC1822
growth of algebra	sing_842.htm#IDX406
grpower	sing_2633.htm#SEC2709
grpres	sing_2636.htm#SEC2712
grprod	sing_2644.htm#SEC2720
grrange	sing_2655.htm#SEC2731
grres	sing_2642.htm#SEC2718
grrndmap	sing_2648.htm#SEC2724
grrndmap2	sing_2649.htm#SEC2725
grrndmat	sing_2647.htm#SEC2723
grshift	sing_2628.htm#SEC2704
grsum	sing_2632.htm#SEC2708
grsyz	sing_2641.htm#SEC2717
grtest	sing_2625.htm#SEC2701
grtranspose	sing_2634.htm#SEC2710
grtranspose1	sing_2638.htm#SEC2714
grtwist	sing_2630.htm#SEC2706
grtwists	sing_2631.htm#SEC2707
grview	sing_2627.htm#SEC2703
grwalk.lib	sing_1250.htm#SEC1326
grwalk_lib	sing_1250.htm#SEC1326
grzero	sing_2629.htm#SEC2705
gwalk	sing_1256.htm#SEC1332
hStarVector	sing_2204.htm#SEC2280
hVector	sing_2205.htm#SEC2281
h_increasing_knapsack	sing_2047.htm#SEC2123
hardware platform	sing_361.htm#IDX268
hasAlgExtensionCoefficient	sing_1122.htm#SEC1198
hasCommutativeVars	sing_1119.htm#SEC1195
hasGlobalOrdering	sing_1120.htm#SEC1196
hasLeftDenom	sing_689.htm#SEC741
hasMixedOrdering	sing_1121.htm#SEC1197
hasNumericCoeffs	sing_1118.htm#SEC1194
hasRightDenom	sing_690.htm#SEC742
hasTransExtensionCoefficient	sing_1123.htm#SEC1199
hashToCone	sing_2618.htm#SEC2694
hashesToFan	sing_2619.htm#SEC2695
headStand	sing_1172.htm#SEC1248
heightZ	sing_1417.htm#SEC1493
help	sing_262.htm#SEC302
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_361.htm#IDX194
help, accessing over the net	sing_19.htm#IDX42
help, online help system	sing_16.htm#SEC22
hermiteNormalForm	sing_2767.htm#SEC2843
hess.lib	sing_2658.htm#SEC2734
hess_lib	sing_2658.htm#SEC2734
hessenberg	sing_361.htm#IDX215
hessenberg 	sing_1194.htm#SEC1270
highcorner	sing_263.htm#SEC303
hilb	sing_264.htm#SEC304
hilbPoly	sing_1082.htm#SEC1158
hilbert4ti2	sing_1439.htm#SEC1515
hilbertBasis	sing_2206.htm#SEC2282
hilbertSeries	sing_2769.htm#SEC2845
hilbvec	sing_1826.htm#SEC1902
hnexpansion	sing_1659.htm#SEC1735
hnoether.lib	sing_1658.htm#SEC1734
hnoether_lib	sing_1658.htm#SEC1734
holonomic rank	sing_662.htm#IDX368
holonomicRank	sing_666.htm#SEC718
hom	sing_2705.htm#SEC2781
hom_kernel	sing_1272.htm#SEC1348
homog	sing_265.htm#SEC305
homog 	sing_2497.htm#IDX1062
homog_part	sing_2863.htm#SEC2939
homog_parts	sing_2864.htm#SEC2940
homogeneitySpace	sing_2277.htm#SEC2353
homogeneous	sing_2483.htm#IDX1033
homogeneous 	sing_2497.htm#IDX1061
homogeneous  	sing_2498.htm#IDX1063
homogeneous decomposition	sing_2483.htm#IDX1034
homogfacFirstQWeyl	sing_658.htm#SEC710
homogfacFirstQWeyl_all	sing_660.htm#SEC712
homogfacNthQWeyl	sing_657.htm#SEC709
homogfacNthQWeyl_all	sing_659.htm#SEC711
homogfacNthWeyl	sing_656.htm#SEC708
homolog.lib	sing_1257.htm#SEC1333
homolog_lib	sing_1257.htm#SEC1333
homology	sing_1267.htm#SEC1343
homomorphism	sing_2689.htm#SEC2765
howto, download	sing_2901.htm#SEC2992
howto, install on Macintosh	sing_2905.htm#SEC2996
howto, install on Unix	sing_2903.htm#SEC2994
howto, install on Windows	sing_2904.htm#SEC2995
hres	sing_266.htm#SEC306
html, default help	sing_16.htm#IDX24
hyperel.lib	sing_2054.htm#SEC2130
hyperel_lib	sing_2054.htm#SEC2130
hyperplane	sing_2284.htm#IDX866
hyperplane arrangement	sing_537.htm#IDX334
hypersurface singularity	sing_1685.htm#IDX818
iMult	sing_1350.htm#SEC1426
id	sing_2662.htm#SEC2738
id2mod	sing_1078.htm#SEC1154
ideal	sing_90.htm#SEC130
ideal (plural)	sing_427.htm#SEC467
ideal declarations	sing_91.htm#SEC131
ideal declarations (plural)	sing_428.htm#SEC468
ideal expressions	sing_92.htm#SEC132
ideal expressions (plural)	sing_429.htm#SEC469
ideal operations	sing_93.htm#SEC133
ideal operations (plural)	sing_430.htm#SEC470
ideal related functions	sing_94.htm#SEC134
ideal related functions (plural)	sing_431.htm#SEC471
ideal, toric	sing_968.htm#SEC1025
idealSplit	sing_1833.htm#SEC1909
ideals	sing_422.htm#IDX290
idealsimplify	sing_1586.htm#SEC1662
identifier	sing_423.htm#SEC463
identifyvar	sing_1494.htm#SEC1570
if	sing_390.htm#SEC430
image	sing_2685.htm#SEC2761
imageLattice	sing_2735.htm#SEC2811
image_of_variety	sing_1774.htm#SEC1850
imap	sing_267.htm#SEC307
imap (plural)	sing_466.htm#SEC506
imapall	sing_1110.htm#SEC1186
impart	sing_268.htm#SEC308
importfrom	sing_391.htm#SEC431
inCenter	sing_526.htm#SEC578
inCentralizer	sing_527.htm#SEC579
inForm	sing_569.htm#SEC621
inSubring	sing_1210.htm#SEC1286
indSet	sing_1322.htm#SEC1398
indepSet	sing_269.htm#SEC309
indexed names	sing_36.htm#IDX82
indexed names 	sing_37.htm#SEC65
indices, multi	sing_37.htm#SEC65
inequalities	sing_2146.htm#SEC2222
infRedTail, option	sing_318.htm#IDX154
infinitely presented algebra	sing_863.htm#IDX417
info	sing_16.htm#SEC23
iniD	sing_1514.htm#SEC1590
init_debug	sing_1593.htm#SEC1669
initial	sing_2278.htm#SEC2354
initial form	sing_502.htm#IDX315
initial ideal	sing_502.htm#IDX314
initial ideal approach	sing_502.htm#IDX318
initial ideal approach 	sing_601.htm#IDX364
initialForm	sing_2255.htm#SEC2331
initialIdeal	sing_2256.htm#SEC2332
initialIdealW	sing_568.htm#SEC620
initialMalgrange	sing_567.htm#SEC619
injective_knapsack	sing_2048.htm#SEC2124
inout.lib	sing_1044.htm#SEC1120
inout_lib	sing_1044.htm#SEC1120
input	sing_41.htm#SEC71
insert	sing_126.htm#SEC166
insert 	sing_270.htm#SEC310
insertCone	sing_2170.htm#SEC2246
insertGenerator	sing_588.htm#SEC640
instructions, Macintosh installation	sing_2905.htm#SEC2996
instructions, Unix installation	sing_2903.htm#SEC2994
instructions, Windows installation	sing_2904.htm#SEC2995
instructions, downloading	sing_2901.htm#SEC2992
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_2744.htm#SEC2820
intPart	sing_2002.htm#SEC2078
intRank	sing_2736.htm#SEC2812
intRoot	sing_2003.htm#SEC2079
intRoots	sing_585.htm#SEC637
intStrategy, option	sing_318.htm#IDX155
intclMonIdeal	sing_1363.htm#SEC1439
intclToricRing	sing_1359.htm#SEC1435
integer division	sing_422.htm#IDX285
integer programming	sing_976.htm#SEC1033
integral	sing_2838.htm#SEC2914
integral basis	sing_1279.htm#IDX588
integral basis 	sing_1477.htm#IDX661
integral closure	sing_1343.htm#IDX609
integral closure 	sing_1344.htm#IDX612
integral closure  	sing_1345.htm#IDX615
integral closure   	sing_1358.htm#IDX621
integralBasis	sing_1279.htm#SEC1355
integralIdeal	sing_572.htm#SEC624
integralModule	sing_573.htm#SEC625
integralSection	sing_2745.htm#SEC2821
integralbasis.lib	sing_1278.htm#SEC1354
integralbasis_lib	sing_1278.htm#SEC1354
integration of D-module	sing_560.htm#IDX346
interface, Emacs	sing_21.htm#SEC28
interiorLatticePoints	sing_2207.htm#SEC2283
internalfunctions	sing_1594.htm#SEC1670
interpolate	sing_1839.htm#SEC1915
interpolation	sing_271.htm#SEC311
interpret	sing_2707.htm#SEC2783
interpretElem	sing_2710.htm#SEC2786
interpretInv	sing_2708.htm#SEC2784
interpretList	sing_2711.htm#SEC2787
interred	sing_272.htm#SEC312
intersect	sing_273.htm#SEC313
intersect (plural)	sing_467.htm#SEC507
intersectElim, option	sing_318.htm#IDX173
intersectLattices	sing_2741.htm#SEC2817
intersectLists	sing_2462.htm#SEC2538
intersectMon	sing_1299.htm#SEC1375
intersectOrbitsWithMovingCone	sing_2606.htm#SEC2682
intersectSyz, option	sing_318.htm#IDX174
intersectZ	sing_1419.htm#SEC1495
intersection	sing_1668.htm#SEC1744
intersection lattice	sing_2320.htm#IDX941
intersection lattice 	sing_2321.htm#IDX942
intersection multiplicity	sing_1579.htm#IDX696
intersection multiplicity 	sing_1668.htm#IDX811
intersectionDiv	sing_1542.htm#SEC1618
intersectionValRingIdeals	sing_1368.htm#SEC1444
intersectionValRings	sing_1367.htm#SEC1443
intersectpar	sing_1038.htm#SEC1114
interval arithmetic	sing_2808.htm#IDX1183
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_1383.htm#SEC1459
intprog.lib	sing_1280.htm#SEC1356
intprog_lib	sing_1280.htm#SEC1356
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
invar	sing_1805.htm#SEC1881
invar.lib	sing_1799.htm#SEC1875
invar_lib	sing_1799.htm#SEC1875
invariant	sing_2468.htm#IDX1007
invariant ring minimal generating set matrix group	sing_1743.htm#IDX824
invariant ring minimal generating set permutation group	sing_1744.htm#IDX825
invariantRing	sing_1776.htm#SEC1852
invariant_algebra_perm	sing_1744.htm#SEC1820
invariant_algebra_reynolds	sing_1743.htm#SEC1819
invariant_basis	sing_1751.htm#SEC1827
invariant_basis_reynolds	sing_1752.htm#SEC1828
invariant_ring	sing_1739.htm#SEC1815
invariant_ring_random	sing_1740.htm#SEC1816
invariants	sing_1664.htm#SEC1740
invariants 	sing_2465.htm#IDX1000
invariants  	sing_2469.htm#IDX1009
inverse	sing_1178.htm#SEC1254
inverse of a matrix via its LU-decomposition	sing_293.htm#SEC333
inverseFourier	sing_583.htm#SEC635
inverse_B	sing_1179.htm#SEC1255
inverse_L	sing_1180.htm#SEC1256
inverse_modulus	sing_2031.htm#SEC2107
invertAlgebraMorphism	sing_2891.htm#SEC2967
invertBirMap	sing_1478.htm#SEC1554
invertLeftFraction	sing_761.htm#SEC813
invertNcfrac	sing_699.htm#SEC751
invertNumberMain	sing_1863.htm#SEC1939
involut.lib	sing_606.htm#SEC658
involut_lib	sing_606.htm#SEC658
involution	sing_611.htm#SEC663
invunit	sing_1687.htm#SEC1763
iostruct	sing_1950.htm#SEC2026
irrRealizationDim	sing_2237.htm#SEC2313
irred_secondary_char0	sing_1765.htm#SEC1841
irred_secondary_no_molien	sing_1768.htm#SEC1844
irreddecMon	sing_1308.htm#SEC1384
irreducible power series	sing_1669.htm#IDX812
irreducible secondary invariant	sing_1765.htm#IDX826
isAface	sing_2591.htm#SEC2667
isAntiEndo	sing_613.htm#SEC665
isBounded	sing_2208.htm#SEC2284
isCI	sing_210.htm#IDX139
isCI 	sing_1228.htm#SEC1304
isCM	sing_210.htm#IDX140
isCM 	sing_1268.htm#SEC1344
isCMcod2	sing_1722.htm#SEC1798
isCanonical	sing_2209.htm#SEC2285
isCartan	sing_528.htm#SEC580
isCentral	sing_737.htm#SEC789
isCommutative	sing_739.htm#SEC791
isCompatible	sing_2171.htm#SEC2247
isCompressed	sing_2210.htm#SEC2286
isDenom	sing_711.htm#SEC763
isEqualDivisor	sing_2525.htm#SEC2601
isEquising	sing_1631.htm#SEC1707
isFlat	sing_1269.htm#SEC1345
isFreeAlgebra	sing_850.htm#SEC902
isFsat	sing_578.htm#SEC630
isFullSpace	sing_2147.htm#SEC2223
isGorenstein	sing_2211.htm#SEC2287
isGradedRingHomomorphism	sing_2730.htm#SEC2806
isGroup	sing_2728.htm#SEC2804
isGroupHomomorphism	sing_2729.htm#SEC2805
isHolonomic	sing_556.htm#SEC608
isHomog	sing_210.htm#IDX135
isHomogeneous	sing_2756.htm#SEC2832
isInS	sing_750.htm#SEC802
isInt	sing_591.htm#SEC643
isIntegralSurjective	sing_2742.htm#SEC2818
isInvertibleLeftFraction	sing_760.htm#SEC812
isInvertibleNcfrac	sing_698.htm#SEC750
isInvolution	sing_612.htm#SEC664
isLatticeEmpty	sing_2212.htm#SEC2288
isLocalizationRegular	sing_2587.htm#SEC2663
isLocallyFree	sing_1270.htm#SEC1346
isMonomial	sing_1294.htm#SEC1370
isNC	sing_738.htm#SEC790
isNormal	sing_2213.htm#SEC2289
isOnCurve	sing_2015.htm#SEC2091
isOneFraction	sing_763.htm#SEC815
isOneNcfrac	sing_692.htm#SEC744
isOrderingShiftInvariant	sing_856.htm#SEC908
isOrigin	sing_2148.htm#SEC2224
isPositive	sing_2753.htm#SEC2829
isPrimitiveSublattice	sing_2743.htm#SEC2819
isPure	sing_2172.htm#SEC2248
isPureTensor	sing_500.htm#SEC552
isQuotientRing	sing_1124.htm#SEC1200
isRational	sing_559.htm#SEC611
isReflexive	sing_2214.htm#SEC2290
isReg	sing_1271.htm#SEC1347
isSB	sing_210.htm#IDX134
isSimplicial	sing_2149.htm#SEC2225
isSmooth	sing_2215.htm#SEC2291
isSubModule	sing_1125.htm#SEC1201
isSublattice	sing_2734.htm#SEC2810
isSymmetric	sing_1443.htm#SEC1519
isTame	sing_1656.htm#SEC1732
isTerminal	sing_2216.htm#SEC2292
isTorsionFree	sing_2752.htm#SEC2828
isTwoSidedGB	sing_501.htm#SEC553
isUpperTriangular	sing_718.htm#SEC770
isVeryAmple	sing_2217.htm#SEC2293
isWeyl	sing_740.htm#SEC792
isZeroElement	sing_2754.htm#SEC2830
isZeroFraction	sing_762.htm#SEC814
isZeroNcfrac	sing_691.htm#SEC743
is_NND	sing_1672.htm#SEC1748
is_NP	sing_1331.htm#SEC1407
is_active	sing_1705.htm#SEC1781
is_bijective	sing_1215.htm#SEC1291
is_cenBimodule	sing_708.htm#SEC760
is_cenSubbimodule	sing_709.htm#SEC761
is_ci	sing_1706.htm#SEC1782
is_complex	sing_1152.htm#SEC1228
is_fix_injective	sing_2052.htm#SEC2128
is_h_injective	sing_2051.htm#SEC2127
is_injective	sing_1213.htm#SEC1289
is_irred	sing_1669.htm#SEC1745
is_is	sing_1707.htm#SEC1783
is_nested	sing_1332.htm#SEC1408
is_prime	sing_2032.htm#SEC2108
is_primitive_root	sing_2028.htm#SEC2104
is_pure	sing_780.htm#SEC832
is_reg	sing_1708.htm#SEC1784
is_regs	sing_1709.htm#SEC1785
is_surjective	sing_1214.htm#SEC1290
is_zero	sing_1067.htm#SEC1143
isartinianMon	sing_1305.htm#SEC1381
isgenericMon	sing_1306.htm#SEC1382
ishyper	sing_2055.htm#SEC2131
isirreducibleMon	sing_1304.htm#SEC1380
isoncurve	sing_2056.htm#SEC2132
isparam	sing_2119.htm#SEC2195
isprimaryMon	sing_1303.htm#SEC1379
isprimeMon	sing_1302.htm#SEC1378
isuni	sing_2104.htm#SEC2180
ivmatGaussian	sing_2815.htm#SEC2891
ivmatInit	sing_2812.htm#SEC2888
ivmatSet	sing_2813.htm#SEC2889
jInvariant	sing_2249.htm#SEC2325
jOft	sing_1987.htm#SEC2063
jacob	sing_274.htm#SEC314
jacoblift	sing_1688.htm#SEC1764
jacobson	sing_1956.htm#SEC2032
jacobson.lib	sing_1954.htm#SEC2030
jacobson_lib	sing_1954.htm#SEC2030
janet	sing_275.htm#SEC315
janet basis	sing_2821.htm#IDX1186
jet	sing_276.htm#SEC316
jordan	sing_1199.htm#SEC1275
jordanVecField	sing_2884.htm#SEC2960
jordanbasis	sing_1200.htm#SEC1276
jordanmatrix	sing_1201.htm#SEC1277
jordannf	sing_1202.htm#SEC1278
jungfib	sing_1527.htm#SEC1603
jungnormal	sing_1526.htm#SEC1602
jungresolve	sing_1525.htm#SEC1601
katsura	sing_1065.htm#SEC1141
kbase	sing_277.htm#SEC317
kbase (plural)	sing_468.htm#SEC508
keepring	sing_392.htm#SEC432
kerHom	sing_2706.htm#SEC2782
kernel	sing_278.htm#SEC318
kernelLattice	sing_2737.htm#SEC2813
kill	sing_279.htm#SEC319
killTask	sing_1131.htm#SEC1207
killall	sing_1006.htm#SEC1082
killattrib	sing_280.htm#SEC320
kmemory	sing_1005.htm#SEC1081
kohom	sing_1273.htm#SEC1349
kontrahom	sing_1274.htm#SEC1350
koszul	sing_281.htm#SEC321
kskernel.lib	sing_1679.htm#SEC1755
kskernel_lib	sing_1679.htm#SEC1755
l-adic numbers	sing_32.htm#SEC46
laguerre	sing_282.htm#SEC322
laguerre_solve	sing_1835.htm#SEC1911
lastvarGeneral	sing_2085.htm#SEC2161
latex.lib	sing_1879.htm#SEC1955
latex_lib	sing_1879.htm#SEC1955
lattice	sing_2321.htm#IDX944
latticeArea	sing_2192.htm#SEC2268
latticeBasis	sing_2738.htm#SEC2814
latticeCodegree	sing_2218.htm#SEC2294
latticeDegree	sing_2219.htm#SEC2295
latticePoints	sing_2220.htm#SEC2296
latticeVolume	sing_2221.htm#SEC2297
laxfrT	sing_2551.htm#SEC2627
laxfrX	sing_2552.htm#SEC2628
lazy, option	sing_318.htm#IDX156
lcm	sing_1068.htm#SEC1144
lcmMon	sing_1297.htm#SEC1373
lcmN	sing_1996.htm#SEC2072
lcmofall	sing_1507.htm#SEC1583
lead	sing_283.htm#SEC323
leadcoef	sing_284.htm#SEC324
leadexp	sing_285.htm#SEC325
leadmonom	sing_286.htm#SEC326
leadmonomial	sing_2071.htm#SEC2147
left annihilator ideal	sing_537.htm#IDX326
left annihilator ideal 	sing_593.htm#IDX354
leftInverse	sing_1945.htm#SEC2021
leftKernel	sing_1943.htm#SEC2019
leftOre	sing_753.htm#SEC805
length	sing_2810.htm#SEC2886
length, option	sing_318.htm#IDX157
letplaceGBasis	sing_858.htm#SEC910
letterplace	sing_296.htm#SEC336
letterplace 	sing_337.htm#SEC377
lex_solve	sing_1841.htm#SEC1917
lexicographical ordering	sing_954.htm#IDX427
lib2doc	sing_60.htm#SEC97
libSingular	sing_2900.htm#SEC2991
libcdd	sing_1.htm#IDX12
libfac	sing_1.htm#IDX6
libparse	sing_69.htm#SEC109
library	sing_2336.htm#IDX959
library, gitfan, GIT, geometric invariant theory, quotients	sing_2590.htm#IDX1138
library, info string	sing_55.htm#IDX124
library, polybori.lib	sing_2336.htm#IDX956
library, template	sing_55.htm#SEC92
library, template.lib	sing_55.htm#IDX122
lieBracket	sing_859.htm#SEC911
lift	sing_288.htm#SEC328
lift 	sing_495.htm#IDX302
lift (plural)	sing_469.htm#SEC509
lift_kbase	sing_1625.htm#SEC1701
lift_rel_kb	sing_1626.htm#SEC1702
liftenvelope	sing_498.htm#SEC550
liftstd	sing_289.htm#SEC329
liftstd (plural)	sing_470.htm#SEC510
linReduce	sing_510.htm#SEC562
linReduceIdeal	sing_511.htm#SEC563
linSyzSolve	sing_512.htm#SEC564
linalg.lib	sing_1177.htm#SEC1253
linalg_lib	sing_1177.htm#SEC1253
linealityDimension	sing_2150.htm#SEC2226
linealitySpace	sing_2151.htm#SEC2227
linear algebra	sing_211.htm#SEC251
linear algebra 	sing_292.htm#SEC332
linear algebra  	sing_293.htm#SEC333
linear algebra   	sing_294.htm#SEC334
linear code, dual	sing_1914.htm#IDX837
linear code, systematic	sing_1915.htm#IDX838
linear interreduction	sing_502.htm#IDX317
linearCombinations	sing_531.htm#SEC583
linearMapKernel	sing_530.htm#SEC582
linear_relations	sing_1169.htm#SEC1245
linearlyEquivalent	sing_2528.htm#SEC2604
linearpart	sing_1827.htm#SEC1903
linesHypersurface	sing_2860.htm#SEC2936
link	sing_113.htm#SEC153
link 	sing_909.htm#SEC961
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_2499.htm#IDX1066
list  	sing_2500.htm#IDX1068
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_2462.htm#IDX996
lists, elements	sing_2464.htm#IDX998
listvar	sing_290.htm#SEC330
lll	sing_2770.htm#SEC2846
load	sing_393.htm#SEC433
loadLib, option	sing_318.htm#IDX178
loadProc, option	sing_318.htm#IDX179
locAtZero	sing_1352.htm#SEC1428
locNormal	sing_1283.htm#SEC1359
locStatus	sing_748.htm#SEC800
local methods	sing_1282.htm#IDX591
local methods 	sing_1283.htm#IDX594
local names	sing_46.htm#SEC83
local rings, computing in	sing_904.htm#SEC956
local weighted lexicographical ordering	sing_955.htm#IDX448
local weighted reverse lexicographical ordering	sing_955.htm#IDX445
localInvar	sing_1781.htm#SEC1857
localization	sing_904.htm#SEC956
localization 	sing_2301.htm#IDX904
localization of D-module	sing_560.htm#IDX342
localization of D-module 	sing_662.htm#IDX371
locally closed set	sing_1023.htm#IDX472
locally closed set 	sing_1024.htm#IDX474
locally closed set  	sing_1025.htm#IDX476
locally closed set   	sing_1026.htm#IDX480
locally closed set    	sing_1040.htm#IDX518
locally closed set     	sing_1042.htm#IDX523
localstd	sing_2081.htm#SEC2157
locnormal.lib	sing_1282.htm#SEC1358
locnormal_lib	sing_1282.htm#SEC1358
locstd	sing_1710.htm#SEC1786
locus	sing_1028.htm#SEC1104
locus 	sing_1028.htm#IDX490
locus  	sing_1029.htm#IDX493
locus   	sing_1030.htm#IDX496
locus    	sing_1031.htm#IDX499
locus     	sing_1032.htm#IDX502
locus      	sing_1033.htm#IDX504
locus       	sing_1034.htm#IDX508
locusdg	sing_1029.htm#SEC1105
locusto	sing_1031.htm#SEC1107
log2	sing_1971.htm#SEC2047
logarithmic annihilator ideal	sing_537.htm#IDX331
logarithmic annihilator ideal 	sing_593.htm#IDX356
logg	sing_2865.htm#SEC2941
lp, global ordering	sing_954.htm#IDX426
lpCalcSubstDegBound	sing_848.htm#SEC900
lpDegBound	sing_851.htm#SEC903
lpDivision	sing_854.htm#SEC906
lpGBPres2Poly	sing_855.htm#SEC907
lpGlDimBound	sing_846.htm#SEC898
lpHilbert	sing_811.htm#SEC863
lpIsPrime	sing_845.htm#SEC897
lpIsSemiPrime	sing_844.htm#SEC896
lpKDim	sing_809.htm#SEC861
lpKDimCheck	sing_808.htm#SEC860
lpMonomialBasis	sing_810.htm#SEC862
lpNcgenCount	sing_853.htm#SEC905
lpNoetherian	sing_843.htm#SEC895
lpSickleDim	sing_812.htm#SEC864
lpSubstitute	sing_847.htm#SEC899
lpVarBlockSize	sing_852.htm#SEC904
lprint	sing_1046.htm#SEC1122
lres	sing_291.htm#SEC331
ls, local ordering	sing_955.htm#IDX439
lsum	sing_1249.htm#SEC1325
ludecomp	sing_292.htm#SEC332
luinverse	sing_293.htm#SEC333
lusolve	sing_294.htm#SEC334
mRes	sing_2674.htm#SEC2750
m_merkle_hellman_decryption	sing_2043.htm#SEC2119
m_merkle_hellman_encryption	sing_2042.htm#SEC2118
m_merkle_hellman_transformation	sing_2041.htm#SEC2117
magnitude	sing_1965.htm#SEC2041
makeDivisor	sing_2520.htm#SEC2596
makeFormalDivisor	sing_2530.htm#SEC2606
makeGraph	sing_1240.htm#SEC1316
makeGraphVE	sing_2851.htm#SEC2927
makeHeisenberg	sing_728.htm#SEC780
makeIdeal	sing_2666.htm#SEC2742
makeLetterplaceRing	sing_857.htm#SEC909
makeMalgrange	sing_605.htm#SEC657
makeMatrix	sing_2665.htm#SEC2741
makeModElimRing	sing_745.htm#SEC797
makePDivisor	sing_2536.htm#SEC2612
makeQsl2	sing_639.htm#SEC691
makeQsl3	sing_640.htm#SEC692
makeQso3	sing_638.htm#SEC690
makeSheaf	sing_2839.htm#SEC2915
makeUe6	sing_635.htm#SEC687
makeUe7	sing_636.htm#SEC688
makeUe8	sing_637.htm#SEC689
makeUf4	sing_634.htm#SEC686
makeUg2	sing_633.htm#SEC685
makeUgl	sing_619.htm#SEC671
makeUsl	sing_618.htm#SEC670
makeUsl2	sing_617.htm#SEC669
makeUso10	sing_625.htm#SEC677
makeUso11	sing_626.htm#SEC678
makeUso12	sing_627.htm#SEC679
makeUso5	sing_620.htm#SEC672
makeUso6	sing_621.htm#SEC673
makeUso7	sing_622.htm#SEC674
makeUso8	sing_623.htm#SEC675
makeUso9	sing_624.htm#SEC676
makeUsp1	sing_628.htm#SEC680
makeUsp2	sing_629.htm#SEC681
makeUsp3	sing_630.htm#SEC682
makeUsp4	sing_631.htm#SEC683
makeUsp5	sing_632.htm#SEC684
makeVariety	sing_2831.htm#SEC2907
makeVector	sing_2694.htm#SEC2770
makeWeyl	sing_727.htm#SEC779
map	sing_128.htm#SEC168
map (plural)	sing_432.htm#SEC472
map declarations	sing_129.htm#SEC169
map declarations (plural)	sing_433.htm#SEC473
map expressions	sing_130.htm#SEC170
map expressions (plural)	sing_434.htm#SEC474
map operations	sing_131.htm#IDX129
map operations (plural)	sing_435.htm#IDX297
map related functions	sing_132.htm#IDX131
map related functions  (plural)	sing_436.htm#IDX298
mapIsFinite	sing_1217.htm#SEC1293
mapToRatNormCurve	sing_1482.htm#SEC1558
mapall	sing_1111.htm#SEC1187
mappingcone	sing_2652.htm#SEC2728
mappingcone3	sing_2654.htm#SEC2730
markov4ti2	sing_1438.htm#SEC1514
mat2arr	sing_2286.htm#SEC2362
mat2carr	sing_2287.htm#SEC2363
mat_rk	sing_1191.htm#SEC1267
matbil	sing_2092.htm#SEC2168
mathematical objects	sing_950.htm#SEC1002
mathinit	sing_1877.htm#SEC1953
matmult	sing_2093.htm#SEC2169
matrix	sing_133.htm#SEC173
matrix 	sing_2286.htm#IDX872
matrix  	sing_2287.htm#IDX875
matrix   	sing_2288.htm#IDX879
matrix declarations	sing_134.htm#SEC174
matrix diagonalization	sing_1954.htm#IDX848
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_1145.htm#SEC1221
matrixExp	sing_1472.htm#SEC1548
matrixLog	sing_1473.htm#SEC1549
matrixT1	sing_1724.htm#SEC1800
matrix_lib	sing_1145.htm#SEC1221
matrixpres	sing_2657.htm#SEC2733
matrixsystem	sing_2562.htm#SEC2638
max	sing_295.htm#SEC335
maxEord	sing_1497.htm#SEC1573
maxExp	sing_210.htm#IDX136
maxIntRoot	sing_679.htm#SEC731
maxZeros	sing_1475.htm#SEC1551
maxabs	sing_2111.htm#SEC2187
maxcoef	sing_1069.htm#SEC1145
maxdeg	sing_1070.htm#SEC1146
maxdeg1	sing_1071.htm#SEC1147
maxideal	sing_296.htm#SEC336
maximalFace	sing_2222.htm#SEC2298
maximalGroebnerCone	sing_2276.htm#SEC2352
maximalValue	sing_2223.htm#SEC2299
maximum	sing_1984.htm#SEC2060
maximum number of zeroes	sing_1475.htm#IDX655
mdouble	sing_56.htm#SEC93
mem, option	sing_318.htm#IDX180
member	sing_2464.htm#SEC2540
membershipMon	sing_1298.htm#SEC1374
memory	sing_297.htm#SEC337
memory managment	sing_297.htm#SEC337
merkle_hellman_decryption	sing_2045.htm#SEC2121
merkle_hellman_encryption	sing_2044.htm#SEC2120
methods, hashtables	sing_2660.htm#IDX1142
methods.lib	sing_2660.htm#SEC2736
methods_lib	sing_2660.htm#SEC2736
midpoint	sing_2558.htm#SEC2634
milnor	sing_1711.htm#SEC1787
milnorcode	sing_1595.htm#SEC1671
milnornumber	sing_2805.htm#SEC2881
min	sing_298.htm#SEC338
minAssChar	sing_1397.htm#SEC1473
minAssCharE	sing_1398.htm#SEC1474
minAssGTZ	sing_1395.htm#SEC1471
minAssGTZE	sing_1396.htm#SEC1472
minAssZ	sing_1415.htm#SEC1491
minEcart	sing_2074.htm#SEC2150
minIntRoot	sing_558.htm#SEC610
minIntRoot2	sing_678.htm#SEC730
minMult	sing_1224.htm#SEC1300
minbase	sing_299.htm#SEC339
minbaseMon	sing_1295.htm#SEC1371
mindeg	sing_1072.htm#SEC1148
mindeg1	sing_1073.htm#SEC1149
mindist	sing_1929.htm#SEC2005
minimal display time, setting the	sing_361.htm#IDX281
minimal representations	sing_866.htm#IDX425
minimalAfaceOrbits	sing_2603.htm#SEC2679
minimalAfaces	sing_2594.htm#SEC2670
minimalFace	sing_2224.htm#SEC2300
minimalOrbitConeOrbits	sing_2605.htm#SEC2681
minimalValue	sing_2225.htm#SEC2301
minipoly	sing_1196.htm#SEC1272
minkowskiSum	sing_2226.htm#SEC2302
minor	sing_300.htm#SEC340
minpoly	sing_401.htm#SEC441
minres	sing_301.htm#SEC341
minres (plural)	sing_471.htm#SEC511
minus	sing_2488.htm#IDX1042
minus 	sing_2489.htm#IDX1044
minus  	sing_2510.htm#IDX1090
minus   	sing_2511.htm#IDX1092
mirror symmetry	sing_1239.htm#IDX559
mixed Hodge structure	sing_1633.htm#IDX711
mixed Hodge structure 	sing_1639.htm#IDX739
mixed Hodge structure  	sing_1640.htm#IDX745
mixed Hodge structure   	sing_1641.htm#IDX753
mixed Hodge structure    	sing_1642.htm#IDX759
mixed Hodge structure     	sing_1643.htm#IDX767
mixed Hodge structure      	sing_1644.htm#IDX777
mixed Hodge structure       	sing_1655.htm#IDX783
mixed Hodge structure        	sing_1657.htm#IDX794
mod	sing_81.htm#SEC121
mod 	sing_98.htm#SEC138
mod  	sing_147.htm#SEC187
mod   	sing_155.htm#SEC195
mod2id	sing_1077.htm#SEC1153
modBorder	sing_2823.htm#SEC2899
modDec	sing_1314.htm#SEC1390
modIntersect	sing_1292.htm#SEC1368
modJanet	sing_2825.htm#SEC2901
modNPos	sing_1337.htm#SEC1413
modNormal	sing_1288.htm#SEC1364
modNpos_test	sing_1335.htm#SEC1411
modQuotient	sing_1285.htm#SEC1361
modSagbiAlg	sing_2451.htm#SEC2527
modSat	sing_1286.htm#SEC1362
modStd	sing_1290.htm#SEC1366
modSyz	sing_1291.htm#SEC1367
modVStd	sing_2456.htm#SEC2532
modVStd0	sing_2457.htm#SEC2533
modWalk	sing_2715.htm#SEC2791
mod_versal	sing_1624.htm#SEC1700
modality	sing_1603.htm#SEC1679
modberlekampMassey	sing_2544.htm#SEC2620
moddiq.lib	sing_1284.htm#SEC1360
moddiq_lib	sing_1284.htm#SEC1360
modfWalk	sing_2717.htm#SEC2793
modfrWalk	sing_2718.htm#SEC2794
modnormal.lib	sing_1287.htm#SEC1363
modnormal_lib	sing_1287.htm#SEC1363
modrWalk	sing_2716.htm#SEC2792
modrationalInterpolation	sing_2542.htm#SEC2618
modregCM	sing_1341.htm#SEC1417
modsatiety	sing_1339.htm#SEC1415
modstd.lib	sing_1289.htm#SEC1365
modstd_lib	sing_1289.htm#SEC1365
modular	sing_1055.htm#SEC1131
modular methods	sing_1282.htm#IDX592
modular methods 	sing_1287.htm#IDX598
modular methods.	sing_1283.htm#IDX595
modular techniques.	sing_1288.htm#IDX600
modular.lib	sing_1054.htm#SEC1130
modular_lib	sing_1054.htm#SEC1130
modular_lib 	sing_1054.htm#IDX527
module	sing_139.htm#SEC179
module (plural)	sing_437.htm#SEC477
module declarations	sing_140.htm#SEC180
module declarations (plural)	sing_438.htm#SEC478
module expressions	sing_141.htm#SEC181
module expressions (plural)	sing_439.htm#SEC479
module operations	sing_142.htm#SEC182
module operations (plural)	sing_440.htm#SEC480
module ordering C	sing_956.htm#IDX451
module ordering c	sing_956.htm#IDX453
module related functions	sing_143.htm#SEC183
module related functions (plural)	sing_441.htm#SEC481
module_containment	sing_1209.htm#SEC1285
modules.lib	sing_2661.htm#SEC2737
modules_lib	sing_2661.htm#SEC2737
moduliSpace	sing_2853.htm#SEC2929
modulo	sing_302.htm#SEC342
modulo (plural)	sing_472.htm#SEC512
moduloSlim	sing_735.htm#SEC787
modwalk.lib	sing_2714.htm#SEC2790
modwalk_lib	sing_2714.htm#SEC2790
moebius	sing_2322.htm#SEC2398
moebius function	sing_2322.htm#IDX945
molien	sing_1747.htm#SEC1823
mondromy.lib	sing_1685.htm#SEC1761
mondromy_lib	sing_1685.htm#SEC1761
monitor	sing_303.htm#SEC343
monodromy	sing_1633.htm#IDX715
monodromy 	sing_1638.htm#SEC1714
monodromy  	sing_1638.htm#IDX735
monodromy   	sing_1643.htm#IDX770
monodromy    	sing_1655.htm#IDX786
monodromy     	sing_1657.htm#IDX797
monodromyB	sing_1689.htm#SEC1765
monomial	sing_304.htm#SEC344
monomial ordering	sing_1120.htm#IDX541
monomial orderings	sing_904.htm#SEC956
monomial orderings 	sing_953.htm#SEC1005
monomial orderings introduction	sing_952.htm#SEC1004
monomial output	sing_405.htm#SEC445
monomial, write	sing_405.htm#SEC445
monomialInIdeal	sing_676.htm#SEC728
monomialLcm	sing_2072.htm#SEC2148
monomialabortstd	sing_2329.htm#SEC2405
monomialideal.lib	sing_1293.htm#SEC1369
monomialideal_lib	sing_1293.htm#SEC1369
monomials and precedence	sing_422.htm#IDX287
mons2intmat	sing_1382.htm#SEC1458
morsesplit	sing_1596.htm#SEC1672
movingCone	sing_2601.htm#SEC2677
mp_res_mat	sing_1838.htm#SEC1914
mplot	sing_1878.htm#SEC1954
mpresmat	sing_305.htm#SEC345
mprimdec.lib	sing_1310.htm#SEC1386
mprimdec_lib	sing_1310.htm#SEC1386
mregular.lib	sing_1325.htm#SEC1401
mregular_lib	sing_1325.htm#SEC1401
mres	sing_306.htm#SEC346
mres (plural)	sing_473.htm#SEC513
mstd	sing_307.htm#SEC347
msum	sing_58.htm#SEC95
mtriple	sing_57.htm#SEC94
mult	sing_308.htm#SEC348
mult 	sing_422.htm#IDX288
multBound	sing_402.htm#SEC442
multRat	sing_684.htm#SEC736
multarr2arr	sing_2317.htm#SEC2393
multarrMultRestrict	sing_2319.htm#SEC2395
multarrRestrict	sing_2318.htm#SEC2394
multcol	sing_1163.htm#SEC1239
multdivisor	sing_2522.htm#SEC2598
multformaldivisor	sing_2534.htm#SEC2610
multi	sing_2059.htm#SEC2135
multi indices	sing_37.htm#SEC65
multi-graded Hilbert series	sing_863.htm#IDX419
multiDeg	sing_2749.htm#SEC2825
multiDegBasis	sing_2750.htm#SEC2826
multiDegGroebner	sing_2758.htm#SEC2834
multiDegModulo	sing_2760.htm#SEC2836
multiDegPartition	sing_2751.htm#SEC2827
multiDegResolution	sing_2761.htm#SEC2837
multiDegSyzygy	sing_2759.htm#SEC2835
multiDegTensor	sing_2762.htm#SEC2838
multiDegTor	sing_2763.htm#SEC2839
multiarrangement	sing_2313.htm#IDX925
multiarrangement 	sing_2314.htm#IDX927
multiarrangement  	sing_2315.htm#IDX930
multiarrangement   	sing_2316.htm#IDX931
multiarrangement    	sing_2317.htm#IDX934
multiarrangement     	sing_2318.htm#IDX937
multiarrangement      	sing_2319.htm#IDX939
multidimensional_knapsack	sing_2037.htm#SEC2113
multigrading, multidegree, multiweights, multigraded-homogeneous, integral linear algebra	sing_2719.htm#IDX1149
multigrading.lib	sing_2719.htm#IDX1147
multigrading_lib	sing_2719.htm#IDX1148
multipleCover	sing_2859.htm#SEC2935
multiplication	sing_2490.htm#IDX1046
multiplication 	sing_2512.htm#IDX1094
multiplicities, sequence of	sing_1664.htm#IDX809
multiplicity	sing_2467.htm#IDX1005
multiplicity sequence	sing_1577.htm#IDX688
multiplicity sequence 	sing_1580.htm#IDX700
multiplicity sequence  	sing_1666.htm#IDX810
multiplyLeftFractions	sing_758.htm#SEC810
multiplylist	sing_1517.htm#SEC1593
multivariate equations	sing_1812.htm#IDX827
multrow	sing_1164.htm#SEC1240
multseq2charexp	sing_1576.htm#SEC1652
multsequence	sing_1666.htm#SEC1742
nBoundaryLatticePoints	sing_2227.htm#SEC2303
nHilbertBasis	sing_2228.htm#SEC2304
nInteriorLatticePoints	sing_2229.htm#SEC2305
nLatticePoints	sing_2230.htm#SEC2306
naccache_stern_decryption	sing_2040.htm#SEC2116
naccache_stern_encryption	sing_2039.htm#SEC2115
naccache_stern_generation	sing_2038.htm#SEC2114
nameof	sing_309.htm#SEC349
names	sing_310.htm#SEC350
nashmult	sing_1584.htm#SEC1660
nblocks	sing_361.htm#IDX219
ncExt_R	sing_703.htm#SEC755
ncHilb.lib	sing_863.htm#SEC915
ncHilb_lib	sing_863.htm#SEC915
ncHom	sing_704.htm#SEC756
ncInit	sing_867.htm#SEC919
ncRelations	sing_736.htm#SEC788
ncVarsAdd	sing_869.htm#SEC921
ncVarsGet	sing_868.htm#SEC920
nc_algebra	sing_474.htm#SEC514
nc_hilb	sing_361.htm#IDX221
ncalg.lib	sing_616.htm#SEC668
ncalg_lib	sing_616.htm#SEC668
ncalgebra	sing_475.htm#SEC515
ncdecomp.lib	sing_643.htm#SEC695
ncdecomp_lib	sing_643.htm#SEC695
ncdetection	sing_610.htm#SEC662
ncfactor	sing_649.htm#SEC701
ncfactor.lib	sing_648.htm#SEC700
ncfactor_lib	sing_648.htm#SEC700
ncfrac.lib	sing_688.htm#SEC740
ncfrac_lib	sing_688.htm#SEC740
nchilb	sing_864.htm#SEC916
nchomolog.lib	sing_702.htm#IDX377
nchomolog_lib	sing_702.htm#IDX378
ncloc.lib	sing_710.htm#SEC762
ncloc_lib	sing_710.htm#SEC762
ncols	sing_311.htm#SEC351
ncones	sing_2174.htm#SEC2250
ncpreim.lib	sing_714.htm#SEC766
ncpreim_lib	sing_714.htm#SEC766
ncrat.lib	sing_866.htm#IDX420
ncratAdd	sing_871.htm#SEC923
ncratDefine	sing_870.htm#SEC922
ncratEvaluateAt	sing_880.htm#SEC932
ncratFromPoly	sing_878.htm#SEC930
ncratFromString	sing_877.htm#SEC929
ncratInvert	sing_874.htm#SEC926
ncratMultiply	sing_873.htm#SEC925
ncratPower	sing_879.htm#SEC931
ncratPrint	sing_876.htm#SEC928
ncratSPrint	sing_875.htm#SEC927
ncratSubstract	sing_872.htm#SEC924
ncrat_lib	sing_866.htm#IDX421
ncrepAdd	sing_882.htm#SEC934
ncrepDim	sing_887.htm#SEC939
ncrepEvaluate	sing_889.htm#SEC941
ncrepEvaluateAt	sing_890.htm#SEC942
ncrepGet	sing_881.htm#SEC933
ncrepGetRegularMinimal	sing_897.htm#SEC949
ncrepGetRegularZeroMinimal	sing_896.htm#SEC948
ncrepInvert	sing_885.htm#SEC937
ncrepIsDefined	sing_892.htm#SEC944
ncrepIsDefinedDim	sing_891.htm#SEC943
ncrepIsRegular	sing_893.htm#SEC945
ncrepMultiply	sing_884.htm#SEC936
ncrepPencilCombine	sing_899.htm#SEC951
ncrepPencilGet	sing_898.htm#SEC950
ncrepPrint	sing_886.htm#SEC938
ncrepRegularMinimize	sing_895.htm#SEC947
ncrepRegularZeroMinimize	sing_894.htm#SEC946
ncrepSubstitute	sing_888.htm#SEC940
ncrepSubstract	sing_883.htm#SEC935
nctools.lib	sing_722.htm#SEC774
nctools_lib	sing_722.htm#SEC774
ndcond	sing_725.htm#SEC777
negateNcfrac	sing_697.htm#SEC749
negatedCone	sing_2152.htm#SEC2228
negation	sing_2489.htm#IDX1045
negative degree lexicographical ordering	sing_955.htm#IDX442
negative degree reverse lexicographical ordering	sing_955.htm#IDX440
negative lexicographical ordering	sing_955.htm#IDX438
negativedivisor	sing_2523.htm#SEC2599
negativeformaldivisor	sing_2533.htm#SEC2609
net	sing_2771.htm#IDX1150
net 	sing_2773.htm#SEC2849
net access	sing_19.htm#IDX40
netBigInt	sing_2779.htm#SEC2855
netBigIntMat	sing_2774.htm#SEC2850
netBigIntMatShort	sing_2775.htm#SEC2851
netCoefficientRing	sing_2776.htm#SEC2852
netIdeal	sing_2777.htm#SEC2853
netInt	sing_2778.htm#SEC2854
netIntMat	sing_2780.htm#SEC2856
netIntMatShort	sing_2781.htm#SEC2857
netIntVector	sing_2782.htm#SEC2858
netIntVectorShort	sing_2783.htm#SEC2859
netList	sing_2785.htm#SEC2861
netMap	sing_2786.htm#SEC2862
netMap2	sing_2787.htm#SEC2863
netMatrix	sing_2696.htm#SEC2772
netNumber	sing_2784.htm#SEC2860
netPoly	sing_2790.htm#SEC2866
netPrimePower	sing_2791.htm#SEC2867
netRing	sing_2792.htm#SEC2868
netString	sing_2793.htm#SEC2869
netVector	sing_2695.htm#SEC2771
netmatrix	sing_2788.htm#SEC2864
netmatrixShort	sing_2789.htm#SEC2865
nets.lib	sing_2771.htm#SEC2847
nets_lib	sing_2771.htm#SEC2847
netvector	sing_2794.htm#SEC2870
netvectorShort	sing_2795.htm#SEC2871
newTest	sing_1979.htm#SEC2055
newline	sing_172.htm#SEC212
news	sing_2893.htm#SEC2969
newstruct	sing_183.htm#SEC223
newstruct 	sing_2336.htm#IDX961
newtonDiag	sing_1081.htm#SEC1157
newtonPolygonNegSlopes	sing_2875.htm#SEC2951
newtonPolytope	sing_2178.htm#SEC2254
newtonPolytopeLP	sing_2184.htm#SEC2260
newtonPolytopeP	sing_2183.htm#SEC2259
newtonpoly	sing_1671.htm#SEC1747
nf_icis	sing_1712.htm#SEC1788
nfmodStd	sing_2799.htm#SEC2875
nfmodSyz	sing_2801.htm#SEC2877
nfmodstd.lib	sing_2797.htm#SEC2873
nfmodstd_lib	sing_2797.htm#SEC2873
nfmodsyz.lib	sing_2800.htm#SEC2876
nfmodsyz_lib	sing_2800.htm#SEC2876
nilpotent Lie algebras	sing_1470.htm#IDX640
nmaxcones	sing_2173.htm#SEC2249
noether	sing_403.htm#SEC443
noether.lib	sing_1333.htm#SEC1409
noetherNormal	sing_1216.htm#SEC1292
noether_lib	sing_1333.htm#SEC1409
non-english special characters	sing_411.htm#IDX283
nonMonomials	sing_1386.htm#SEC1462
nonZeroEntry	sing_1219.htm#SEC1295
noncommutative, rational expressions	sing_866.htm#IDX422
none, option	sing_318.htm#IDX150
norTest	sing_1353.htm#SEC1429
norm	sing_2058.htm#SEC2134
normaform (up to a bound)	sing_361.htm#IDX244
normal	sing_1343.htm#SEC1419
normal bundle, graph, rational curves, mutiple covers, lines on	sing_2858.htm#IDX1215
normal form	sing_962.htm#IDX454
normal.lib	sing_1342.htm#SEC1418
normalBundle	sing_2858.htm#SEC2934
normalC	sing_1345.htm#SEC1421
normalConductor	sing_1357.htm#SEC1433
normalFan	sing_2231.htm#SEC2307
normalForm	sing_2524.htm#SEC2600
normalI	sing_1430.htm#SEC1506
normalP	sing_1344.htm#SEC1420
normalToricRing	sing_1360.htm#SEC1436
normalToricRingFromBinomials	sing_1361.htm#SEC1437
normal_lib	sing_1342.htm#SEC1418
normalform	sing_1600.htm#SEC1676
normalform 	sing_2450.htm#IDX993
normaliz	sing_1.htm#IDX14
normaliz 	sing_1373.htm#SEC1449
normaliz.lib	sing_1358.htm#SEC1434
normaliz_lib	sing_1358.htm#SEC1434
normalization	sing_1282.htm#IDX590
normalization 	sing_1283.htm#IDX593
normalization  	sing_1287.htm#IDX597
normalization   	sing_1288.htm#IDX599
normalization    	sing_1343.htm#IDX608
normalization     	sing_1344.htm#IDX611
normalization      	sing_1345.htm#IDX614
normalization       	sing_1357.htm#IDX620
normalization        	sing_1358.htm#IDX622
normalization         	sing_2466.htm#IDX1003
normalization.	sing_1279.htm#IDX589
normalization. 	sing_1477.htm#IDX662
normalize	sing_1074.htm#SEC1150
normalizeMonoidal	sing_764.htm#SEC816
normalizeRational	sing_765.htm#SEC817
not	sing_101.htm#SEC141
not equal	sing_2493.htm#IDX1053
not equal 	sing_2514.htm#IDX1100
notBuckets, option	sing_318.htm#IDX160
notRegularity, option	sing_318.htm#IDX158
notSugar, option	sing_318.htm#IDX159
notWarnSB, option	sing_318.htm#IDX181
npar	sing_1964.htm#SEC2040
npars	sing_312.htm#SEC352
nrRootsDeterm	sing_2089.htm#SEC2165
nrRootsProbab	sing_2088.htm#SEC2164
nres	sing_313.htm#SEC353
nres (plural)	sing_476.htm#SEC516
nrows	sing_314.htm#SEC354
nrroots	sing_2118.htm#SEC2194
nsatiety	sing_1338.htm#SEC1414
nselect	sing_1235.htm#SEC1311
nt_solve	sing_1853.htm#SEC1929
ntsolve.lib	sing_1852.htm#SEC1928
ntsolve_lib	sing_1852.htm#SEC1928
number	sing_144.htm#SEC184
number 	sing_2290.htm#IDX885
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_2175.htm#SEC2251
number_e	sing_1007.htm#SEC1083
number_pi	sing_1008.htm#SEC1084
numerAlg.lib	sing_1452.htm#IDX629
numerAlg_lib	sing_1452.htm#IDX630
numerAlg_lib 	sing_1457.htm#IDX639
numerDecom.lib	sing_1457.htm#IDX633
numerDecom_lib	sing_1452.htm#IDX632
numerDecom_lib 	sing_1457.htm#IDX634
numerator	sing_315.htm#SEC355
numerical irreducible decomposition	sing_1457.htm#IDX635
nvars	sing_316.htm#SEC356
olga.lib	sing_747.htm#SEC799
olga_lib	sing_747.htm#SEC799
oneDimBelongSemigroup	sing_1226.htm#SEC1302
oneNcfrac	sing_694.htm#SEC746
onesVector	sing_2180.htm#SEC2256
online help	sing_16.htm#SEC22
open	sing_317.htm#SEC357
opentex	sing_1881.htm#SEC1957
operatorAlgebra	sing_814.htm#SEC866
operatorBM	sing_544.htm#SEC596
operatorModulo	sing_545.htm#SEC597
oppose	sing_477.htm#SEC517
opposite	sing_478.htm#SEC518
opposite polynomial	sing_361.htm#IDX229
opposite ring	sing_361.htm#IDX226
option	sing_318.htm#SEC358
option(warn)	sing_70.htm#SEC110
optionIsSet	sing_1117.htm#SEC1193
or	sing_101.htm#SEC141
or 	sing_415.htm#SEC455
orbit	sing_1470.htm#IDX642
orbit 	sing_1471.htm#IDX646
orbit  	sing_1474.htm#IDX651
orbit   	sing_1475.htm#IDX654
orbitConeOrbits	sing_2604.htm#SEC2680
orbitCones	sing_2595.htm#SEC2671
orbit_variety	sing_1771.htm#SEC1847
orbitparam.lib	sing_1470.htm#SEC1546
orbitparam_lib	sing_1470.htm#SEC1546
ord	sing_319.htm#SEC359
ord_test	sing_1112.htm#SEC1188
order ideal, border basis	sing_2822.htm#IDX1187
order ideal, border basis 	sing_2823.htm#IDX1188
ordering	sing_2478.htm#IDX1022
ordering 	sing_2494.htm#IDX1056
ordering  	sing_2495.htm#IDX1059
orderings	sing_953.htm#SEC1005
orderings introduction	sing_952.htm#SEC1004
orderings, L	sing_960.htm#SEC1012
orderings, M	sing_957.htm#SEC1009
orderings, a	sing_959.htm#SEC1011
orderings, global	sing_954.htm#SEC1006
orderings, local	sing_955.htm#SEC1007
orderings, product	sing_958.htm#SEC1010
ordstr	sing_320.htm#SEC360
origin	sing_2123.htm#SEC2199
orthogonalize	sing_1182.htm#SEC1258
outer	sing_1153.htm#SEC1229
output	sing_41.htm#SEC71
outputting monomials	sing_405.htm#SEC445
p-adic numbers	sing_32.htm#SEC46
pFactor	sing_2013.htm#SEC2089
pIntersect	sing_508.htm#SEC560
pIntersectSyz	sing_509.htm#SEC561
package	sing_149.htm#SEC189
package declarations	sing_150.htm#SEC190
package related functions	sing_151.htm#SEC191
pairset	sing_2078.htm#SEC2154
par	sing_321.htm#SEC361
par2varRing	sing_990.htm#SEC1066
paraConic	sing_1485.htm#SEC1561
paraPlaneCurve	sing_1479.htm#SEC1555
parallel skeletons	sing_1056.htm#IDX533
parallel.lib	sing_1056.htm#SEC1132
parallelTestAND	sing_1060.htm#SEC1136
parallelTestOR	sing_1061.htm#SEC1137
parallelWaitAll	sing_1059.htm#SEC1135
parallelWaitFirst	sing_1058.htm#SEC1134
parallelWaitN	sing_1057.htm#SEC1133
parallel_lib	sing_1056.htm#SEC1132
parallelization	sing_1056.htm#IDX532
parallelization 	sing_1096.htm#IDX535
parallelization  	sing_1129.htm#IDX545
param	sing_1662.htm#SEC1738
parameter, as numbers	sing_144.htm#SEC184
parameterSubstitute	sing_2271.htm#SEC2347
parametric annihilator	sing_537.htm#IDX332
parametric annihilator for variety	sing_601.htm#IDX362
parametric ideal	sing_1019.htm#IDX460
parametric ideal 	sing_1026.htm#IDX479
parametric ideal  	sing_1026.htm#IDX481
parametric ideal   	sing_1027.htm#IDX486
parametrization	sing_1470.htm#IDX643
parametrization 	sing_1474.htm#IDX652
parametrization  	sing_1662.htm#IDX804
parametrizeOrbit	sing_1474.htm#SEC1550
paraplanecurves.lib	sing_1476.htm#SEC1552
paraplanecurves_lib	sing_1476.htm#SEC1552
pardeg	sing_322.htm#SEC362
parstr	sing_323.htm#SEC363
part	sing_2426.htm#SEC2502
partOver	sing_2429.htm#SEC2505
partUnder	sing_2430.htm#SEC2506
partial_molien	sing_1749.htm#SEC1825
partitions	sing_1247.htm#SEC1323
partitions 	sing_1247.htm#IDX578
path	sing_2902.htm#SEC2993
path integral	sing_1239.htm#IDX565
paths	sing_2902.htm#SEC2993
pause	sing_1053.htm#SEC1129
pdivi	sing_1021.htm#SEC1097
pdivi 	sing_1022.htm#IDX470
pdivisorplus	sing_2538.htm#SEC2614
permcol	sing_1165.htm#SEC1241
permrow	sing_1166.htm#SEC1242
permutationFromIntvec	sing_2610.htm#SEC2686
permutationToIntvec	sing_2611.htm#SEC2687
permutations	sing_1248.htm#IDX579
permutations, sum, max, min	sing_2461.htm#IDX995
permute	sing_1248.htm#SEC1324
permute_L	sing_1916.htm#SEC1992
perron	sing_769.htm#SEC821
perron.lib	sing_768.htm#SEC820
perron_lib	sing_768.htm#SEC820
phindex.lib	sing_2331.htm#IDX952
phindex_lib	sing_2331.htm#IDX953
picksFormula	sing_2193.htm#SEC2269
pid	sing_361.htm#IDX238
plainInvariants	sing_1621.htm#SEC1697
planeCur	sing_2448.htm#SEC2524
plot	sing_1894.htm#SEC1970
plotRot	sing_1898.htm#SEC1974
plotRotated	sing_1897.htm#SEC1973
plotRotatedDirect	sing_1900.htm#SEC1976
plotRotatedList	sing_1899.htm#SEC1975
plotRotatedListFromSpecifyList	sing_1901.htm#SEC1977
plural	sing_1119.htm#IDX540
pmat	sing_1047.htm#SEC1123
pnormalf	sing_1022.htm#SEC1098
pointid.lib	sing_1385.htm#SEC1461
pointid_lib	sing_1385.htm#SEC1461
polSol	sing_668.htm#SEC720
polSolFiniteRank	sing_669.htm#SEC721
pollTask	sing_1139.htm#SEC1215
poly	sing_152.htm#SEC192
poly (plural)	sing_442.htm#SEC482
poly declarations	sing_153.htm#SEC193
poly declarations (plural)	sing_443.htm#SEC483
poly expressions	sing_154.htm#SEC194
poly expressions (plural)	sing_444.htm#SEC484
poly operations	sing_155.htm#SEC195
poly operations (plural)	sing_445.htm#SEC485
poly related functions	sing_156.htm#SEC196
poly related functions (plural)	sing_446.htm#SEC486
poly.lib	sing_1062.htm#SEC1138
poly2list	sing_586.htm#SEC638
poly2zdd	sing_2352.htm#SEC2428
polyInterpolation	sing_2541.htm#SEC2617
polyVars	sing_675.htm#SEC727
poly_lib	sing_1062.htm#SEC1138
polybori	sing_2336.htm#IDX957
polybori.lib	sing_2336.htm#IDX954
polybori.lib 	sing_2336.htm#IDX958
polybori_lib	sing_2336.htm#IDX955
polymake	sing_2181.htm#IDX858
polymake.lib	sing_2181.htm#SEC2257
polymakePolytope	sing_2182.htm#SEC2258
polymake_lib	sing_2181.htm#SEC2257
polynomial	sing_2505.htm#IDX1081
polynomial solutions	sing_662.htm#IDX374
polynomial, opposite	sing_361.htm#IDX230
polytope	sing_191.htm#SEC231
polytope 	sing_2181.htm#IDX854
polytopeViaInequalities	sing_2153.htm#SEC2229
polytopeViaPoints	sing_2154.htm#SEC2230
pos_def	sing_1193.htm#SEC1269
poset	sing_2321.htm#IDX943
positiveOrthant	sing_2124.htm#SEC2200
posweight	sing_1729.htm#SEC1805
powSumSym	sing_2383.htm#SEC2459
power	sing_1154.htm#SEC1230
power set	sing_2463.htm#IDX997
powerN	sing_1997.htm#SEC2073
powerX	sing_2006.htm#SEC2082
power_products	sing_1763.htm#SEC1839
powerpolyX	sing_1976.htm#SEC2052
powersums	sing_2099.htm#SEC2175
preComp	sing_1321.htm#SEC1397
preimage	sing_324.htm#SEC364
preimage 	sing_714.htm#IDX379
preimage (plural)	sing_479.htm#SEC519
preimage under a map between local rings, map between local rings, map between local and global rings	sing_1115.htm#IDX538
preimageLattice	sing_2739.htm#SEC2815
preimageLoc	sing_1115.htm#SEC1191
preimageNC	sing_716.htm#SEC768
prepEmbDiv	sing_1547.htm#SEC1623
prepMat	sing_1809.htm#SEC1885
prepRealclassify	sing_1605.htm#SEC1681
prepSV	sing_1911.htm#SEC1987
prepareAss	sing_1404.htm#SEC1480
presentTree	sing_1534.htm#SEC1610
presentation	sing_2697.htm#SEC2773
presolve.lib	sing_1819.htm#SEC1895
presolve_lib	sing_1819.htm#SEC1895
primL	sing_2001.htm#SEC2077
primList	sing_2000.htm#SEC2076
primRoot	sing_1444.htm#SEC1520
primTest	sing_1320.htm#SEC1396
primary decomposition	sing_1389.htm#IDX624
primary decomposition 	sing_1412.htm#IDX625
primary decomposition of modules	sing_1310.htm#IDX601
primary decomposition, numerical	sing_1457.htm#IDX637
primary_char0	sing_1753.htm#SEC1829
primary_char0_no_molien	sing_1755.htm#SEC1831
primary_char0_no_molien_random	sing_1760.htm#SEC1836
primary_char0_random	sing_1758.htm#SEC1834
primary_charp	sing_1754.htm#SEC1830
primary_charp_no_molien	sing_1756.htm#SEC1832
primary_charp_no_molien_random	sing_1761.htm#SEC1837
primary_charp_random	sing_1759.htm#SEC1835
primary_charp_without	sing_1757.htm#SEC1833
primary_charp_without_random	sing_1762.htm#SEC1838
primary_invariants	sing_1741.htm#SEC1817
primary_invariants_random	sing_1742.htm#SEC1818
primdec.lib	sing_1389.htm#SEC1465
primdecGTZ	sing_1391.htm#SEC1467
primdecGTZE	sing_1392.htm#SEC1468
primdecMon	sing_1309.htm#SEC1385
primdecSY	sing_1393.htm#SEC1469
primdecSYE	sing_1394.htm#SEC1470
primdecZ	sing_1413.htm#SEC1489
primdecZM	sing_1414.htm#SEC1490
primdec_lib	sing_1389.htm#SEC1465
primdecint.lib	sing_1412.htm#SEC1488
primdecint_lib	sing_1412.htm#SEC1488
prime	sing_325.htm#SEC365
primeClosure	sing_1348.htm#SEC1424
primecoeffs	sing_1014.htm#SEC1090
primefactors	sing_326.htm#SEC366
primes	sing_1009.htm#SEC1085
primitiv.lib	sing_1420.htm#SEC1496
primitiv_lib	sing_1420.htm#SEC1496
primitive	sing_1421.htm#SEC1497
primitive element	sing_1421.htm#IDX626
primitiveSpan	sing_2746.htm#SEC2822
primitive_extra	sing_1422.htm#SEC1498
primparam	sing_1616.htm#SEC1692
principal intersection	sing_502.htm#IDX316
print	sing_327.htm#SEC367
print 	sing_2288.htm#IDX878
print  	sing_2482.htm#IDX1031
print   	sing_2484.htm#IDX1036
print    	sing_2485.htm#IDX1037
print     	sing_2507.htm#IDX1085
print      	sing_2508.htm#IDX1086
printBetti	sing_2678.htm#SEC2754
printFreeModule	sing_2670.htm#SEC2746
printGraph	sing_1241.htm#SEC1317
printGraphG	sing_2852.htm#SEC2928
printGroup	sing_2727.htm#SEC2803
printHom	sing_2673.htm#SEC2749
printMatrix	sing_2669.htm#SEC2745
printModule	sing_2672.htm#SEC2748
printMoebius	sing_2327.htm#SEC2403
printResolution	sing_2671.htm#SEC2747
printSheaf	sing_2840.htm#SEC2916
printStack	sing_2854.htm#SEC2930
printTask	sing_1134.htm#SEC1210
printVariety	sing_2832.htm#SEC2908
printf	sing_328.htm#SEC368
printlevel	sing_404.htm#SEC444
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_2076.htm#SEC2152
product	sing_1010.htm#SEC1086
product 	sing_2490.htm#IDX1047
product  	sing_2512.htm#IDX1095
product variety, abstract variety	sing_2833.htm#IDX1203
productVariety	sing_2833.htm#SEC2909
productgroup	sing_2748.htm#SEC2824
progress watch	sing_318.htm#IDX163
projectLattice	sing_2740.htm#SEC2816
projective bundle, abstract variety, sheaf, enumeration of conics	sing_2837.htm#IDX1207
projective dimension	sing_770.htm#IDX388
projective limes	sing_32.htm#SEC46
projective space, abstract variety	sing_2836.htm#IDX1206
projectiveBundle	sing_2837.htm#SEC2913
projectiveDimension	sing_771.htm#SEC823
projectiveSpace	sing_2836.htm#SEC2912
prompt	sing_15.htm#SEC21
prompt, option	sing_318.htm#IDX182
propagator	sing_1239.htm#IDX563
propagator 	sing_1242.htm#SEC1318
prot, option	sing_318.htm#IDX161
protocol of computations	sing_318.htm#IDX162
proximitymatrix	sing_1575.htm#SEC1651
prune	sing_329.htm#SEC369
pruneModule	sing_2704.htm#SEC2780
prwalk	sing_2827.htm#SEC2903
psigncnd	sing_1872.htm#SEC1948
puiseux2generators	sing_1674.htm#SEC1750
puiseuxExpansion	sing_2242.htm#SEC2318
pure tensor	sing_495.htm#IDX304
purelist	sing_781.htm#SEC833
purity	sing_770.htm#IDX390
purityFiltration	sing_772.htm#SEC824
purityTriang	sing_773.htm#SEC825
purityfiltration.lib	sing_770.htm#IDX383
purityfiltration_lib	sing_770.htm#IDX384
pushForward	sing_2765.htm#SEC2841
pwalk	sing_1255.htm#SEC1331
pyobject	sing_192.htm#SEC232
pyobject 	sing_2336.htm#IDX960
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_2559.htm#SEC2635
python_eval	sing_197.htm#SEC237
python_import	sing_198.htm#SEC238
python_run	sing_199.htm#SEC239
qbase	sing_2102.htm#SEC2178
qepcad	sing_2569.htm#SEC2645
qepcadsystem	sing_2570.htm#SEC2646
qhmatrix	sing_1727.htm#SEC1803
qhmoduli.lib	sing_1691.htm#SEC1767
qhmoduli_lib	sing_1691.htm#SEC1767
qhspectrum	sing_1714.htm#SEC1790
qhweight	sing_330.htm#SEC370
qmatrix.lib	sing_782.htm#SEC834
qmatrix_lib	sing_782.htm#SEC834
qminor	sing_784.htm#SEC836
qrds	sing_331.htm#SEC371
qring	sing_166.htm#SEC206
qring 	sing_422.htm#IDX292
qring (plural)	sing_447.htm#SEC487
qring declaration	sing_170.htm#SEC210
qring declaration (plural)	sing_448.htm#SEC488
qring related functions (plural)	sing_449.htm#SEC489
qring ring ideal 'factor ring'	sing_1124.htm#IDX544
qringNF, option	sing_318.htm#IDX164
qslimgb	sing_989.htm#SEC1065
quadraticSieve	sing_2014.htm#SEC2090
quantMat	sing_783.htm#SEC835
quickclass	sing_1597.htm#SEC1673
quit	sing_394.htm#SEC434
quotSheaf	sing_2849.htm#SEC2925
quote	sing_332.htm#SEC372
quotient	sing_333.htm#SEC373
quotient (plural)	sing_480.htm#SEC520
quotientLatticeBasis	sing_2155.htm#SEC2231
quotientMain	sing_1864.htm#SEC1940
quotientMon	sing_1300.htm#SEC1376
rHRR	sing_2423.htm#SEC2499
rJanet	sing_2824.htm#SEC2900
rMacaulay	sing_1048.htm#SEC1124
rad_con	sing_1075.htm#SEC1151
radical	sing_1401.htm#SEC1477
radicalEHV	sing_1402.htm#SEC1478
radicalMemberShip	sing_2264.htm#SEC2340
radicalMon	sing_1301.htm#SEC1377
radicalZ	sing_1416.htm#SEC1492
randcharpoly	sing_2096.htm#SEC2172
randlinpoly	sing_2098.htm#SEC2174
random	sing_334.htm#SEC374
random 	sing_361.htm#IDX242
random  	sing_2309.htm#IDX917
random   	sing_2310.htm#IDX919
random number generator, seed	sing_361.htm#IDX240
random.lib	sing_1083.htm#SEC1159
randomBinomial	sing_1095.htm#SEC1171
randomCheck	sing_1927.htm#SEC2003
randomLast	sing_1094.htm#SEC1170
randomPoint	sing_2156.htm#SEC2232
randomPolyInT	sing_2273.htm#SEC2349
random_lib	sing_1083.htm#SEC1159
randomid	sing_1085.htm#SEC1161
randommat	sing_1086.htm#SEC1162
rank	sing_210.htm#IDX137
rank 	sing_335.htm#SEC375
rankSheaf	sing_2841.htm#SEC2917
ratSol	sing_670.htm#SEC722
ratgb.lib	sing_788.htm#IDX391
ratgb_lib	sing_788.htm#IDX392
rational curves, rational parametrization of rational curves.	sing_1479.htm#IDX664
rational functions	sing_866.htm#IDX423
rational normal curve, projection.	sing_1480.htm#IDX665
rational normal curve, projection. 	sing_1483.htm#IDX666
rational normal curve, projection.  	sing_1484.htm#IDX667
rational solutions	sing_662.htm#IDX375
rational univariate projection	sing_2096.htm#IDX851
rationalCurve	sing_2861.htm#SEC2937
rationalPointConic	sing_1481.htm#SEC1557
ratstd	sing_789.htm#SEC841
rays	sing_2157.htm#SEC2233
rcolon	sing_865.htm#SEC917
re2squ	sing_1458.htm#SEC1534
read	sing_336.htm#SEC376
readNmzData	sing_1376.htm#SEC1452
reading, option	sing_318.htm#IDX183
readline	sing_1.htm#IDX5
real	sing_28.htm#IDX74
real root isolation	sing_2808.htm#IDX1182
real roots, univariate polynomial	sing_2103.htm#IDX853
real roots, univariate projection	sing_2087.htm#IDX849
real roots,sign conditions	sing_1870.htm#IDX829
realclassify	sing_2803.htm#SEC2879
realclassify.lib	sing_2802.htm#SEC2878
realclassify_lib	sing_2802.htm#SEC2878
realizationDim	sing_2236.htm#SEC2312
realizationDimPoly	sing_2238.htm#SEC2314
realizationMatroids.lib	sing_2235.htm#SEC2311
realizationMatroids_lib	sing_2235.htm#SEC2311
realmorsesplit	sing_2804.htm#SEC2880
realpoly	sing_1425.htm#SEC1501
realrad	sing_1427.htm#SEC1503
realrad.lib	sing_1424.htm#SEC1500
realrad_lib	sing_1424.htm#SEC1500
realzero	sing_1426.htm#SEC1502
recursive_boolean_poly	sing_2342.htm#SEC2418
recursive_from_boolean_poly	sing_2348.htm#SEC2424
redSB, option	sing_318.htm#IDX165
redTail, option	sing_318.htm#IDX167
redThrough, option	sing_318.htm#IDX168
redefine, option	sing_318.htm#IDX184
reduce	sing_337.htm#SEC377
reduce 	sing_516.htm#IDX321
reduce  	sing_1021.htm#IDX468
reduce   	sing_1022.htm#IDX471
reduce (letterplace)	sing_797.htm#SEC849
reduce (plural)	sing_481.htm#SEC521
reduce (up to a bound)	sing_361.htm#IDX243
reduceIntChain	sing_2709.htm#SEC2785
reduced	sing_1020.htm#IDX465
reduced standard basis	sing_318.htm#IDX166
reduction	sing_1779.htm#SEC1855
reesclos.lib	sing_1428.htm#SEC1504
reesclos_lib	sing_1428.htm#SEC1504
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_1340.htm#SEC1416
regIdeal	sing_1326.htm#SEC1402
regMonCurve	sing_1329.htm#SEC1405
regularity	sing_338.htm#SEC378
regularity 	sing_964.htm#SEC1021
regularity  	sing_1340.htm#IDX606
regularity   	sing_1341.htm#IDX607
reiffen	sing_555.htm#SEC607
rel_orbit_variety	sing_1772.htm#SEC1848
relations	sing_768.htm#IDX382
relativeInteriorPoint	sing_2158.htm#SEC2234
relative_orbit_variety	sing_1773.htm#SEC1849
relweight	sing_1728.htm#SEC1804
remainder	sing_1857.htm#SEC1933
remainderMain	sing_1865.htm#SEC1941
removeCone	sing_2176.htm#SEC2252
removepower	sing_1585.htm#SEC1661
repart	sing_339.htm#SEC379
replace	sing_1966.htm#SEC2042
representation, math objects	sing_950.htm#SEC1002
res	sing_340.htm#SEC380
resbinomial.lib	sing_1488.htm#IDX670
resbinomial_lib	sing_1488.htm#IDX671
reservedName	sing_341.htm#SEC381
resfunction	sing_1502.htm#SEC1578
resgraph.lib	sing_1520.htm#SEC1596
resgraph_lib	sing_1520.htm#SEC1596
resjung.lib	sing_1524.htm#SEC1600
resjung_lib	sing_1524.htm#SEC1600
reslist	sing_1516.htm#SEC1592
resolution	sing_161.htm#SEC201
resolution 	sing_770.htm#IDX389
resolution (plural)	sing_450.htm#SEC490
resolution declarations	sing_162.htm#SEC202
resolution declarations (plural)	sing_451.htm#SEC491
resolution expressions	sing_163.htm#SEC203
resolution expressions (plural)	sing_452.htm#SEC492
resolution graph	sing_1570.htm#IDX684
resolution related functions	sing_164.htm#SEC204
resolution related functions (plural)	sing_453.htm#SEC493
resolution, La Scala's method	sing_291.htm#SEC331
resolution, computation of	sing_340.htm#IDX186
resolution, hilbert-driven	sing_266.htm#SEC306
resolutionInLocalization	sing_2589.htm#SEC2665
resolutiongraph	sing_1571.htm#SEC1647
resolve	sing_1532.htm#SEC1608
resolve.lib	sing_1528.htm#SEC1604
resolve_lib	sing_1528.htm#SEC1604
resources.lib	sing_1096.htm#SEC1172
resources_lib	sing_1096.htm#SEC1172
restriction	sing_2302.htm#IDX905
restriction 	sing_2318.htm#IDX938
restriction  	sing_2319.htm#IDX940
restriction of	sing_560.htm#IDX344
restrictionIdeal	sing_570.htm#SEC622
restrictionModule	sing_571.htm#SEC623
resultant	sing_305.htm#SEC345
resultant 	sing_342.htm#SEC382
reszeta.lib	sing_1541.htm#SEC1617
reszeta_lib	sing_1541.htm#SEC1617
return	sing_395.htm#SEC435
return type of procedures	sing_420.htm#SEC460
returnSB, option	sing_318.htm#IDX152
reverse	sing_2117.htm#SEC2193
reverse lexicographical ordering	sing_954.htm#IDX429
reynolds_molien	sing_1748.htm#SEC1824
rho	sing_2008.htm#SEC2084
rightInverse	sing_1946.htm#SEC2022
rightKernel	sing_1944.htm#SEC2020
rightModulo	sing_734.htm#SEC786
rightNF	sing_733.htm#SEC785
rightNFWeyl	sing_687.htm#SEC739
rightOre	sing_754.htm#SEC806
rightStd	sing_732.htm#SEC784
rightstd (letterplace)	sing_798.htm#SEC850
ring	sing_165.htm#SEC205
ring (plural)	sing_454.htm#SEC494
ring coefficients	sing_1122.htm#IDX542
ring coefficients 	sing_1123.htm#IDX543
ring declarations	sing_167.htm#SEC207
ring declarations (plural)	sing_455.htm#SEC495
ring operations	sing_169.htm#SEC209
ring operations (plural)	sing_456.htm#SEC496
ring related functions	sing_168.htm#SEC208
ring related functions (plural)	sing_457.htm#SEC497
ring theory	sing_842.htm#IDX404
ring, opposite	sing_361.htm#IDX227
ring.lib	sing_1101.htm#SEC1177
ring_cf	sing_210.htm#IDX138
ring_lib	sing_1101.htm#SEC1177
ring_list	sing_344.htm#SEC384
ring_variable	sing_2289.htm#IDX882
ring_variable 	sing_2290.htm#IDX884
ring_variable  	sing_2291.htm#IDX888
ring_variable   	sing_2292.htm#IDX890
ringlist	sing_343.htm#SEC383
ringlist (plural)	sing_482.htm#SEC522
ringtensor	sing_1113.htm#SEC1189
ringweights	sing_1114.htm#SEC1190
rinvar.lib	sing_1784.htm#SEC1860
rinvar_lib	sing_1784.htm#SEC1860
rmNmzFiles	sing_1381.htm#SEC1457
rm_unitcol	sing_1171.htm#SEC1247
rm_unitrow	sing_1170.htm#SEC1246
rmx	sing_1891.htm#SEC1967
rncAntiCanonicalMap	sing_1480.htm#SEC1556
rncItProjEven	sing_1484.htm#SEC1560
rncItProjOdd	sing_1483.htm#SEC1559
root of Bernstein-Sato polynomial	sing_537.htm#IDX333
rootIsolation	sing_2819.htm#SEC2895
rootIsolationNoPreprocessing	sing_2818.htm#SEC2894
rootIsolationPrimdec	sing_2820.htm#SEC2896
rootisolation.lib	sing_2808.htm#SEC2884
rootisolation_lib	sing_2808.htm#SEC2884
rootofUnity	sing_1116.htm#SEC1192
roots	sing_1858.htm#SEC1934
rootsMain	sing_1866.htm#SEC1942
rootsModp	sing_1990.htm#SEC2066
rootsmr.lib	sing_2087.htm#SEC2163
rootsmr_lib	sing_2087.htm#SEC2163
rootsur.lib	sing_2103.htm#SEC2179
rootsur_lib	sing_2103.htm#SEC2179
round	sing_1988.htm#SEC2064
rowShift	sing_210.htm#IDX141
rowShift 	sing_212.htm#SEC252
rowred	sing_1167.htm#SEC1243
rp, global ordering	sing_954.htm#IDX428
rstandard.lib	sing_2821.htm#SEC2897
rstandard_lib	sing_2821.htm#SEC2897
rswalk	sing_2871.htm#SEC2947
rtimer	sing_408.htm#SEC448
rvalue	sing_414.htm#SEC454
rvar	sing_345.htm#SEC385
rwalk	sing_2828.htm#SEC2904
rwalk.lib	sing_2826.htm#SEC2902
rwalk_lib	sing_2826.htm#SEC2902
sRes	sing_2675.htm#SEC2751
sa_poly_reduce	sing_525.htm#SEC577
sa_reduce	sing_524.htm#SEC576
sagbi	sing_1434.htm#SEC1510
sagbi basis	sing_2451.htm#IDX994
sagbi.lib	sing_1431.htm#SEC1507
sagbiAlg	sing_2444.htm#SEC2520
sagbiMod	sing_2445.htm#SEC2521
sagbiPart	sing_1435.htm#SEC1511
sagbiReduce	sing_1433.htm#SEC1509
sagbiSPoly	sing_1432.htm#SEC1508
sagbi_lib	sing_1431.htm#SEC1507
salida	sing_1513.htm#SEC1589
sameComponent	sing_2070.htm#SEC2146
sameQ	sing_1869.htm#SEC1945
sat	sing_1236.htm#SEC1312
satiety	sing_1328.htm#SEC1404
satstd	sing_2330.htm#SEC2406
saturation	sing_1236.htm#IDX555
saturation 	sing_1286.htm#IDX596
saturation  	sing_1338.htm#IDX604
saturation   	sing_1339.htm#IDX605
sba	sing_346.htm#SEC386
scalarProd	sing_514.htm#SEC566
scheme	sing_2550.htm#SEC2626
schubert.lib	sing_2830.htm#SEC2906
schubert_lib	sing_2830.htm#SEC2906
sdb, source code debugger	sing_66.htm#SEC103
second degree	sing_1035.htm#IDX511
secondary fan	sing_2181.htm#IDX856
secondary polytope	sing_2181.htm#IDX857
secondaryPolytope	sing_2186.htm#SEC2262
secondary_and_irreducibles_no_molien	sing_1769.htm#SEC1845
secondary_char0	sing_1764.htm#SEC1840
secondary_charp	sing_1766.htm#SEC1842
secondary_no_molien	sing_1767.htm#SEC1843
secondary_not_cohen_macaulay	sing_1770.htm#SEC1846
segre	sing_2378.htm#SEC2454
select	sing_1237.htm#SEC1313
select1	sing_1238.htm#SEC1314
semaphore	sing_361.htm#IDX247
semaphore 	sing_1100.htm#SEC1176
semaphores	sing_1096.htm#IDX537
semi-prime ideal	sing_842.htm#IDX409
semiCMcod2	sing_1725.htm#SEC1801
semiGroup	sing_2446.htm#SEC2522
semiMod	sing_2447.htm#SEC2523
semidiv	sing_2062.htm#SEC2138
semigroup	sing_1574.htm#SEC1650
semigroup 	sing_1578.htm#IDX691
semigroup of values	sing_1664.htm#IDX806
semigroupGenerator	sing_2159.htm#SEC2235
sep	sing_1411.htm#SEC1487
separateHNE	sing_1675.htm#SEC1751
separator	sing_1311.htm#SEC1387
serreRelations	sing_815.htm#SEC867
set	sing_2284.htm#IDX868
setBaseMultigrading	sing_2720.htm#SEC2796
setLetterplaceAttributes	sing_860.htm#SEC912
setLinearForms	sing_2160.htm#SEC2236
setModuleGrading	sing_2732.htm#SEC2808
setMultiplicity	sing_2161.htm#SEC2237
setNmzDataPath	sing_1378.htm#SEC1454
setNmzExecPath	sing_1374.htm#SEC1450
setNmzFilename	sing_1377.htm#SEC1453
setNmzOption	sing_1371.htm#SEC1447
setUniformizingParameter	sing_2873.htm#SEC2949
set_is_injective	sing_2050.htm#SEC2126
setcores	sing_1098.htm#SEC1174
setenv	sing_361.htm#IDX250
setinitials	sing_2560.htm#SEC2636
setring	sing_347.htm#SEC387
sh	sing_361.htm#IDX252
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_1551.htm#IDX672
sheafCoh	sing_1557.htm#SEC1633
sheafCohBGG	sing_1555.htm#SEC1631
sheafCohBGG2	sing_1556.htm#SEC1632
sheafcoh.lib	sing_1551.htm#SEC1627
sheafcoh_lib	sing_1551.htm#SEC1627
short	sing_405.htm#SEC445
show	sing_1049.htm#SEC1125
showBO	sing_1533.htm#SEC1609
showDataTypes	sing_1535.htm#SEC1611
showNmzOptions	sing_1372.htm#SEC1448
showNuminvs	sing_1369.htm#SEC1445
showgrades	sing_775.htm#SEC827
showrecursive	sing_1050.htm#SEC1126
signal handler	sing_2900.htm#SEC2991
signatureBrieskorn	sing_1734.htm#SEC1810
signatureL	sing_2332.htm#SEC2408
signatureLqf	sing_2333.htm#SEC2409
signatureNemethi	sing_1736.htm#SEC1812
signaturePuiseux	sing_1735.htm#SEC1811
signcnd	sing_1871.htm#SEC1947
signcond.lib	sing_1870.htm#SEC1946
signcond_lib	sing_1870.htm#SEC1946
simplePrune	sing_2713.htm#SEC2789
simplesolver	sing_1815.htm#SEC1891
simplex	sing_348.htm#SEC388
simplexOut	sing_1842.htm#SEC1918
simplify	sing_349.htm#SEC389
simplifyRat	sing_682.htm#SEC734
sing.lib	sing_1701.htm#SEC1777
sing4ti2.lib	sing_1437.htm#SEC1513
sing4ti2_lib	sing_1437.htm#SEC1513
sing_lib	sing_1701.htm#SEC1777
singular locus of D-module	sing_662.htm#IDX369
singularities	sing_1633.htm#IDX708
singularities 	sing_1634.htm#IDX719
singularities  	sing_1635.htm#IDX722
singularities   	sing_1636.htm#IDX725
singularities    	sing_1637.htm#IDX728
singularities     	sing_1638.htm#IDX732
singularities      	sing_1639.htm#IDX736
singularities       	sing_1640.htm#IDX742
singularities        	sing_1641.htm#IDX750
singularities         	sing_1642.htm#IDX756
singularities          	sing_1643.htm#IDX764
singularities           	sing_1644.htm#IDX774
singularities            	sing_1732.htm#IDX821
singularities             	sing_2356.htm#IDX980
singularities              	sing_2440.htm#IDX989
singularities, resolution of	sing_937.htm#SEC989
singularity	sing_1598.htm#SEC1674
singularrc	sing_20.htm#IDX73
size	sing_350.htm#SEC390
size 	sing_422.htm#IDX291
skewmat	sing_1155.htm#SEC1231
sleep	sing_356.htm#SEC396
slimgb	sing_351.htm#SEC391
slimgb 	sing_914.htm#SEC966
slimgb (plural)	sing_483.htm#SEC523
slocus	sing_1713.htm#SEC1789
smaller	sing_2495.htm#IDX1057
smatrix	sing_171.htm#SEC211
smith	sing_1955.htm#SEC2031
smithNormalForm	sing_2768.htm#SEC2844
solutionsMod2	sing_2005.htm#SEC2081
solve	sing_1035.htm#IDX512
solve 	sing_1836.htm#SEC1912
solve a linear equation system A*x = b via the LU-decomposition of A	sing_294.htm#SEC334
solve.lib	sing_1834.htm#SEC1910
solveTInitialFormPar	sing_2267.htm#SEC2343
solve_IP	sing_1281.htm#SEC1357
solve_lib	sing_1834.htm#SEC1910
solvelinearpart	sing_1829.htm#SEC1905
sort	sing_1011.htm#SEC1087
sort 	sing_2500.htm#IDX1067
sortIntvec	sing_592.htm#SEC644
sortandmap	sing_1830.htm#SEC1906
sortier	sing_1783.htm#SEC1859
sortvars	sing_1831.htm#SEC1907
sortvec	sing_352.htm#SEC392
source	sing_2691.htm#SEC2767
source code debugger, sdb	sing_66.htm#SEC103
spaceCur	sing_2449.htm#SEC2525
spadd	sing_1647.htm#SEC1723
span	sing_2162.htm#SEC2238
sparseHomogIdeal	sing_1092.htm#SEC1168
sparseInterpolation	sing_2545.htm#SEC2621
sparseid	sing_1087.htm#SEC1163
sparsemat	sing_1089.htm#SEC1165
sparsematrix	sing_1088.htm#SEC1164
sparsepoly	sing_1090.htm#SEC1166
sparsetriag	sing_1091.htm#SEC1167
spcurve.lib	sing_1721.htm#SEC1797
spcurve_lib	sing_1721.htm#SEC1797
special characters, non-english	sing_411.htm#IDX284
spectral pairs	sing_1633.htm#IDX717
spectral pairs 	sing_1640.htm#IDX749
spectral pairs  	sing_1642.htm#IDX763
spectral pairs   	sing_1643.htm#IDX772
spectral pairs    	sing_1655.htm#IDX788
spectral pairs     	sing_1657.htm#IDX799
spectralNeg	sing_1543.htm#SEC1619
spectrum	sing_1633.htm#IDX716
spectrum 	sing_1639.htm#SEC1715
spectrum  	sing_1639.htm#IDX741
spectrum   	sing_1640.htm#IDX748
spectrum    	sing_1641.htm#IDX755
spectrum     	sing_1642.htm#IDX762
spectrum      	sing_1643.htm#IDX771
spectrum       	sing_1655.htm#IDX787
spectrum        	sing_1657.htm#IDX798
spectrum         	sing_1732.htm#IDX823
spectrum.lib	sing_1731.htm#SEC1807
spectrum_lib	sing_1731.htm#SEC1807
spectrumnd	sing_1732.htm#SEC1808
spgamma	sing_1654.htm#SEC1730
spgeomgenus	sing_1653.htm#SEC1729
spissemicont	sing_1650.htm#SEC1726
split	sing_1051.htm#SEC1127
splitPolygon	sing_2188.htm#SEC2264
splitring	sing_1423.htm#SEC1499
splitting	sing_1319.htm#SEC1395
spmilnor	sing_1652.htm#SEC1728
spmul	sing_1649.htm#SEC1725
spnf	sing_1197.htm#SEC1273
spoly	sing_2073.htm#SEC2149
sppairs	sing_1640.htm#SEC1716
sppnf	sing_1645.htm#SEC1721
sppprint	sing_1646.htm#SEC1722
spprint	sing_1198.htm#SEC1274
sprintf	sing_354.htm#SEC394
spsemicont	sing_1651.htm#SEC1727
spsub	sing_1648.htm#SEC1724
sqfrNorm	sing_1859.htm#SEC1935
sqfrNormMain	sing_1867.htm#SEC1943
sqr	sing_1985.htm#SEC2061
sqrfree	sing_353.htm#SEC393
squareRoot	sing_2004.htm#SEC2080
squarefree	sing_1676.htm#SEC1752
sres	sing_355.htm#SEC395
ssi	sing_909.htm#SEC961
stabilizer	sing_2369.htm#SEC2445
stack, moduli space of stable maps	sing_2854.htm#IDX1211
stack, moduli space of stable maps, rational curves	sing_2853.htm#IDX1210
stackNets	sing_2796.htm#SEC2872
staircase	sing_1876.htm#SEC1952
standard	sing_2080.htm#SEC2156
standard bases, saturation	sing_2330.htm#IDX951
standard bases.	sing_2329.htm#IDX950
standard.lib	sing_988.htm#IDX456
standard_lib	sing_988.htm#IDX457
startNmz	sing_1380.htm#SEC1456
startTasks	sing_1135.htm#SEC1211
static procedures	sing_43.htm#SEC78
status	sing_356.htm#SEC396
std	sing_357.htm#SEC397
std 	sing_912.htm#SEC964
std (letterplace)	sing_799.htm#SEC851
std (plural)	sing_484.htm#SEC524
stdfglm	sing_358.htm#SEC398
stdhilb	sing_359.htm#SEC399
stdlocus	sing_1032.htm#SEC1108
stopTask	sing_1136.htm#SEC1212
storeActionOnOrbitConeIndices	sing_2609.htm#SEC2685
stratify	sing_1810.htm#SEC1886
stratify.lib	sing_1808.htm#SEC1884
stratify_lib	sing_1808.htm#SEC1884
string	sing_172.htm#SEC212
string 	sing_422.htm#IDX294
string  	sing_2482.htm#IDX1030
string   	sing_2484.htm#IDX1035
string    	sing_2485.htm#IDX1038
string     	sing_2507.htm#IDX1084
string      	sing_2508.htm#IDX1087
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_1673.htm#SEC1749
structure	sing_2504.htm#IDX1078
sturm	sing_2113.htm#SEC2189
sturmha	sing_2115.htm#SEC2191
sturmhaseq	sing_2116.htm#SEC2192
sturmquery	sing_2091.htm#SEC2167
sturmseq	sing_2114.htm#SEC2190
sublists	sing_2463.htm#SEC2539
submat	sing_1156.htm#SEC1232
subquotient	sing_2683.htm#SEC2759
subrInterred	sing_1080.htm#SEC1156
subset_sum01	sing_2034.htm#SEC2110
subset_sum02	sing_2035.htm#SEC2111
subst	sing_360.htm#SEC400
subst (plural)	sing_485.htm#SEC525
substitute	sing_1079.htm#SEC1155
sugarCrit, option	sing_318.htm#IDX169
sum	sing_1012.htm#SEC1088
sum 	sing_2487.htm#IDX1041
sum  	sing_2509.htm#IDX1089
sum_of_powers	sing_2382.htm#SEC2458
sumlist	sing_1515.htm#SEC1591
sumofquotients	sing_2862.htm#SEC2938
super-commutative algebras	sing_790.htm#SEC842
superCommutative	sing_731.htm#SEC783
super_increasing_knapsack	sing_2046.htm#SEC2122
surf.lib	sing_1893.htm#SEC1969
surf_lib	sing_1893.htm#SEC1969
surfacesignature.lib	sing_1733.htm#SEC1809
surfacesignature_lib	sing_1733.htm#SEC1809
surfer	sing_1.htm#IDX8
surfer 	sing_1895.htm#SEC1971
surfex	sing_1.htm#IDX7
surfex.lib	sing_1896.htm#SEC1972
surfex_lib	sing_1896.htm#SEC1972
suspend	sing_356.htm#SEC396
swalk	sing_2870.htm#SEC2946
swalk.lib	sing_2869.htm#SEC2945
swalk_lib	sing_2869.htm#SEC2945
swap	sing_1602.htm#SEC1678
swap 	sing_2291.htm#IDX886
switch	sing_416.htm#SEC456
switchRingsAndComputeInitialIdeal	sing_2878.htm#SEC2954
syModStd	sing_1447.htm#SEC1523
symNsym	sing_2376.htm#SEC2452
sym_gauss	sing_1181.htm#SEC1257
symm	sing_2375.htm#SEC2451
symmStd	sing_1446.htm#SEC1522
symmat	sing_1157.htm#SEC1233
symmetric basis	sing_1173.htm#IDX548
symmetric power	sing_1175.htm#IDX550
symmetric product	sing_2571.htm#IDX1137
symmetricBasis	sing_1173.htm#SEC1249
symmetricPower	sing_1175.htm#SEC1251
symmetricPowerSheaf	sing_2848.htm#SEC2924
symmetries	sing_2365.htm#IDX988
symmfunc	sing_2100.htm#SEC2176
symodstd.lib	sing_1441.htm#SEC1517
symodstd_lib	sing_1441.htm#SEC1517
sympower	sing_1804.htm#SEC1880
symsignature	sing_2090.htm#SEC2166
syndrome	sing_1923.htm#SEC1999
sysBin	sing_1921.htm#SEC1997
sysCRHT	sing_1918.htm#SEC1994
sysCRHTMindist	sing_1919.htm#SEC1995
sysFL	sing_1934.htm#SEC2010
sysNewton	sing_1920.htm#SEC1996
sysQE	sing_1924.htm#SEC2000
sys_code	sing_1915.htm#SEC1991
system	sing_361.htm#SEC401
system, --	sing_361.htm#IDX274
system, --long_option_name	sing_361.htm#IDX277
system, --long_option_name=value	sing_361.htm#IDX279
system, HC	sing_361.htm#IDX213
system, LLL	sing_361.htm#IDX217
system, Singular	sing_361.htm#IDX256
system, SingularLib	sing_361.htm#IDX258
system, absFact	sing_361.htm#IDX190
system, alarm	sing_361.htm#IDX189
system, blackbox	sing_361.htm#IDX191
system, bracket	sing_361.htm#IDX196
system, browsers	sing_361.htm#IDX195
system, complexNearZero	sing_361.htm#IDX198
system, contributors	sing_361.htm#IDX200
system, cpu	sing_361.htm#IDX202
system, cpu 	sing_361.htm#IDX273
system, denom_list	sing_361.htm#IDX204
system, eigenvals	sing_361.htm#IDX205
system, env	sing_361.htm#IDX206
system, executable	sing_361.htm#IDX208
system, getPrecDigits	sing_361.htm#IDX211
system, getenv	sing_361.htm#IDX210
system, gmsnf	sing_361.htm#IDX212
system, hessenberg	sing_361.htm#IDX214
system, install	sing_361.htm#IDX216
system, nblocks	sing_361.htm#IDX220
system, nc_hilb	sing_361.htm#IDX222
system, neworder	sing_361.htm#IDX223
system, newstruct	sing_361.htm#IDX224
system, opp	sing_361.htm#IDX225
system, oppose	sing_361.htm#IDX228
system, pcvBasis	sing_361.htm#IDX237
system, pcvCV2P	sing_361.htm#IDX235
system, pcvDim	sing_361.htm#IDX236
system, pcvLAddL	sing_361.htm#IDX231
system, pcvMinDeg	sing_361.htm#IDX233
system, pcvP2CV	sing_361.htm#IDX234
system, pcvPMulL	sing_361.htm#IDX232
system, pid	sing_361.htm#IDX239
system, random	sing_361.htm#IDX241
system, reserve	sing_361.htm#IDX245
system, reservedLink	sing_361.htm#IDX246
system, semaphore	sing_361.htm#IDX248
system, semic	sing_361.htm#IDX249
system, setenv	sing_361.htm#IDX251
system, sh	sing_361.htm#IDX253
system, shrinktest	sing_361.htm#IDX254
system, spadd	sing_361.htm#IDX259
system, spectrum	sing_361.htm#IDX260
system, spmul	sing_361.htm#IDX261
system, std_syz	sing_361.htm#IDX262
system, tensorModuleMult	sing_361.htm#IDX263
system, twostd	sing_361.htm#IDX264
system, uname	sing_361.htm#IDX267
system, version	sing_361.htm#IDX270
system, with	sing_361.htm#IDX271
systemOfParametersOfLocalization	sing_2586.htm#SEC2662
syz	sing_362.htm#SEC402
syz (plural)	sing_486.htm#SEC526
tDetropicalise	sing_2269.htm#SEC2345
tInitialForm	sing_2253.htm#SEC2329
tInitialFormPar	sing_2265.htm#SEC2341
tInitialFormParMax	sing_2266.htm#SEC2342
tInitialIdeal	sing_2254.htm#SEC2330
tab	sing_1052.htm#SEC1128
tail	sing_2069.htm#SEC2145
tame polynomial	sing_1655.htm#IDX780
tame polynomial 	sing_1656.htm#IDX790
tame polynomial  	sing_1657.htm#IDX791
tangentGens	sing_1471.htm#SEC1547
tangentcone	sing_1720.htm#SEC1796
target	sing_2690.htm#SEC2766
task	sing_1129.htm#IDX547
tasks.lib	sing_1129.htm#SEC1205
tasks_lib	sing_1129.htm#SEC1205
tau_es	sing_1628.htm#SEC1704
tau_es2	sing_1582.htm#SEC1658
tdCf	sing_2411.htm#SEC2487
tdFactor	sing_2413.htm#SEC2489
tdProj	sing_2416.htm#SEC2492
tdTerms	sing_2412.htm#SEC2488
teachstd.lib	sing_2067.htm#SEC2143
teachstd_lib	sing_2067.htm#SEC2143
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_363.htm#SEC403
tensor 	sing_495.htm#IDX308
tensor algebra	sing_849.htm#IDX412
tensorFreeModule	sing_2702.htm#SEC2778
tensorFreemodMod	sing_2701.htm#SEC2777
tensorMatrix	sing_2698.htm#SEC2774
tensorMod	sing_1276.htm#SEC1352
tensorModFreemod	sing_2700.htm#SEC2776
tensorModule	sing_2699.htm#SEC2775
tensorProduct	sing_2703.htm#SEC2779
tensorSheaf	sing_2847.htm#SEC2923
term orderings	sing_953.htm#SEC1005
term orderings introduction	sing_952.htm#SEC1004
testFraction	sing_752.htm#SEC804
testLift	sing_861.htm#SEC913
testLocData	sing_749.htm#SEC801
testNCfac	sing_652.htm#SEC704
testNcfrac	sing_700.htm#SEC752
testNcfracExamples	sing_701.htm#SEC753
testNcloc	sing_712.htm#SEC764
testNclocExamples	sing_713.htm#SEC765
testOlga	sing_766.htm#SEC818
testOlgaExamples	sing_767.htm#SEC819
testParametrization	sing_1486.htm#SEC1562
testPointConic	sing_1487.htm#SEC1563
testPrimary	sing_1399.htm#SEC1475
testPrimaryE	sing_1400.htm#SEC1476
testSyz	sing_862.htm#SEC914
tetrahedronGroup	sing_840.htm#SEC892
tex	sing_1882.htm#SEC1958
texDrawBasic	sing_2260.htm#SEC2336
texDrawNewtonSubdivision	sing_2262.htm#SEC2338
texDrawTriangulation	sing_2263.htm#SEC2339
texDrawTropical	sing_2261.htm#SEC2337
texMatrix	sing_2259.htm#SEC2335
texNumber	sing_2257.htm#SEC2333
texPolynomial	sing_2258.htm#SEC2334
texcoef	sing_1963.htm#SEC2039
texdemo	sing_1883.htm#SEC1959
texfactorize	sing_1884.htm#SEC1960
texmap	sing_1885.htm#SEC1961
texname	sing_1886.htm#SEC1962
texobj	sing_1887.htm#SEC1963
texpoly	sing_1888.htm#SEC1964
texproc	sing_1889.htm#SEC1965
texring	sing_1890.htm#SEC1966
the first alternative algorithm	sing_1253.htm#IDX584
three_elements	sing_2053.htm#SEC2129
timeFactorize	sing_1016.htm#SEC1092
timeStd	sing_1015.htm#SEC1091
timer	sing_406.htm#SEC446
timer resolution, setting the	sing_361.htm#IDX280
timestep	sing_2563.htm#SEC2639
tjurina	sing_1716.htm#SEC1792
tmatrix	sing_1643.htm#SEC1719
todd	sing_2408.htm#SEC2484
toddE	sing_2409.htm#SEC2485
toddPoly	sing_2422.htm#SEC2498
tolessvars	sing_1828.htm#SEC1904
topChernClass	sing_2844.htm#SEC2920
topological invariants	sing_1570.htm#IDX682
topological invariants 	sing_1577.htm#IDX689
topological invariants  	sing_1578.htm#IDX693
topological invariants   	sing_1579.htm#IDX697
topological invariants    	sing_1580.htm#IDX701
toric ideals	sing_968.htm#SEC1025
toric ring	sing_1358.htm#IDX623
toric.lib	sing_1448.htm#SEC1524
toric_ideal	sing_1449.htm#SEC1525
toric_lib	sing_1448.htm#SEC1524
toric_std	sing_1450.htm#SEC1526
torus	sing_1801.htm#SEC1877
torusInvariants	sing_1364.htm#SEC1440
torusrep	sing_1802.htm#SEC1878
torusreynolds	sing_1807.htm#SEC1883
total divisors	sing_495.htm#IDX305
total multiplicities	sing_1570.htm#IDX685
totalChernClass	sing_2842.htm#SEC2918
totalSegreClass	sing_2845.htm#SEC2921
totalmultiplicities	sing_1572.htm#SEC1648
trace	sing_364.htm#SEC404
tracemult	sing_2094.htm#SEC2170
transpose	sing_365.htm#SEC405
trapezoid	sing_2557.htm#SEC2633
triMNewton	sing_1854.htm#SEC1930
triagmatrix	sing_1093.htm#SEC1169
triang.lib	sing_1847.htm#SEC1923
triangL	sing_1848.htm#SEC1924
triangL_solve	sing_1845.htm#SEC1921
triangLf_solve	sing_1843.htm#SEC1919
triangLfak	sing_1849.htm#SEC1925
triangM	sing_1850.htm#SEC1926
triangMH	sing_1851.htm#SEC1927
triangM_solve	sing_1844.htm#SEC1920
triang_lib	sing_1847.htm#SEC1923
triang_solve	sing_1846.htm#SEC1922
triangularGroup	sing_841.htm#SEC893
triangulations	sing_2185.htm#SEC2261
tropical curves	sing_2239.htm#IDX863
tropical geometry	sing_1239.htm#IDX558
tropical geometry 	sing_2872.htm#IDX1222
tropical mirror symmetry	sing_1239.htm#IDX560
tropical polynomials	sing_2239.htm#IDX864
tropical varieties	sing_2872.htm#IDX1223
tropical.lib	sing_2239.htm#IDX861
tropicalCurve	sing_2244.htm#SEC2320
tropicalJInvariant	sing_2247.htm#SEC2323
tropicalLifting	sing_2240.htm#SEC2316
tropicalLinkNewton	sing_2880.htm#SEC2956
tropicalNewton.lib	sing_2872.htm#SEC2948
tropicalNewton_lib	sing_2872.htm#SEC2948
tropicalPointNewton	sing_2877.htm#SEC2953
tropicalSubst	sing_2272.htm#SEC2348
tropicalVariety	sing_2279.htm#SEC2355
tropicalVarietyNewton	sing_2879.htm#SEC2955
tropical_lib	sing_2239.htm#IDX862
tropicalise	sing_2251.htm#SEC2327
tropicaliseSet	sing_2252.htm#SEC2328
truncate	sing_1552.htm#SEC1628
truncateFast	sing_1553.htm#SEC1629
truncated module	sing_1552.htm#IDX673
truncated module 	sing_1553.htm#IDX674
tst_ncfactor	sing_661.htm#SEC713
twalk	sing_1252.htm#SEC1328
two-sided	sing_495.htm#IDX306
two-sided Groebner basis	sing_495.htm#IDX307
twostd	sing_361.htm#IDX265
twostd (letterplace)	sing_800.htm#SEC852
twostd (plural)	sing_487.htm#SEC527
type	sing_366.htm#SEC406
type B	sing_2307.htm#IDX913
type D	sing_2308.htm#IDX915
type,custom	sing_184.htm#SEC224
type2arr	sing_2285.htm#SEC2361
typecasting	sing_2285.htm#IDX869
typecasting 	sing_2286.htm#IDX871
typecasting  	sing_2287.htm#IDX874
typeof	sing_367.htm#SEC407
u	sing_2549.htm#SEC2625
uname	sing_361.htm#IDX266
unbounded_knapsack	sing_2036.htm#SEC2112
unipotent groups	sing_1470.htm#IDX641
uniquePoint	sing_2163.htm#SEC2239
unitMatrix	sing_2814.htm#SEC2890
unitmat	sing_1158.htm#SEC1234
univariate	sing_368.htm#SEC408
univarpoly	sing_2101.htm#SEC2177
universal	sing_2501.htm#IDX1070
universal 	sing_2502.htm#IDX1072
universal derivation	sing_2477.htm#IDX1021
unknown syndrome	sing_984.htm#SEC1055
unset	sing_279.htm#SEC319
untyped definitions	sing_88.htm#SEC128
untyped definitions 	sing_427.htm#SEC467
updatePairs	sing_2079.htm#SEC2155
ures_solve	sing_1837.htm#SEC1913
uressolve	sing_369.htm#SEC409
usage, option	sing_318.htm#IDX185
used environment variables	sing_2902.htm#SEC2993
user interface, Emacs	sing_21.htm#SEC28
vStd	sing_2455.htm#SEC2531
val	sing_2874.htm#SEC2950
valvars	sing_1832.htm#SEC1908
vandermonde	sing_370.htm#SEC410
vanishId	sing_1933.htm#SEC2009
var	sing_371.htm#SEC411
varMat	sing_2289.htm#SEC2365
varNum	sing_2290.htm#SEC2366
variables	sing_372.htm#SEC412
variables 	sing_2289.htm#IDX881
variables  	sing_2290.htm#IDX883
variables   	sing_2291.htm#IDX887
variables    	sing_2292.htm#IDX889
variablesSorted	sing_533.htm#SEC585
variablesStandard	sing_532.htm#SEC584
vars2pars	sing_677.htm#SEC729
varsigns	sing_2106.htm#SEC2182
varstr	sing_373.htm#SEC413
vdim	sing_374.htm#SEC414
vdim (plural)	sing_488.htm#SEC528
vec2poly	sing_515.htm#SEC567
vecFieldToMatrix	sing_2888.htm#SEC2964
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_2097.htm#SEC2173
versal	sing_1623.htm#SEC1699
version	sing_361.htm#IDX269
vertexAdjacencyGraph	sing_2232.htm#SEC2308
vertexEdgeGraph	sing_2233.htm#SEC2309
vertices	sing_2179.htm#SEC2255
vfilt	sing_1641.htm#SEC1717
view	sing_1953.htm#SEC2029
visual	sing_2234.htm#SEC2310
visualize	sing_2548.htm#SEC2624
voice	sing_409.htm#SEC449
vwfilt	sing_1642.htm#SEC1718
wUnit	sing_1991.htm#SEC2067
waitAllTasks	sing_1138.htm#SEC1214
waitTasks	sing_1137.htm#SEC1213
waitall	sing_375.htm#SEC415
waitfirst	sing_376.htm#SEC416
walk, groebner	sing_1250.htm#IDX580
walk, groebner 	sing_2714.htm#IDX1145
walk, groebner  	sing_2826.htm#IDX1191
walk, groebner   	sing_2869.htm#IDX1220
warkedPreimageStd	sing_2588.htm#SEC2664
warn, option	sing_70.htm#SEC110
warn, option 	sing_318.htm#IDX151
watchdog	sing_1013.htm#SEC1089
wedge	sing_377.htm#SEC417
weierstr.lib	sing_2082.htm#SEC2158
weierstrDiv	sing_2083.htm#SEC2159
weierstrPrep	sing_2084.htm#SEC2160
weierstr_lib	sing_2082.htm#SEC2158
weierstrassForm	sing_2248.htm#SEC2324
weight	sing_378.htm#SEC418
weight filtration	sing_1633.htm#IDX713
weight filtration 	sing_1640.htm#IDX747
weight filtration  	sing_1642.htm#IDX761
weight filtration   	sing_1643.htm#IDX769
weight filtration    	sing_1655.htm#IDX785
weight filtration     	sing_1657.htm#IDX796
weightKB	sing_379.htm#SEC419
weightM, option	sing_318.htm#IDX170
weighted lexicographical ordering	sing_954.htm#IDX436
weighted reverse lexicographical ordering	sing_954.htm#IDX434
weightedRing	sing_724.htm#SEC776
whichvariable	sing_2105.htm#SEC2181
while	sing_396.htm#SEC436
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_954.htm#IDX435
write	sing_380.htm#SEC420
writeNmzData	sing_1375.htm#SEC1451
writeNmzPaths	sing_1379.htm#SEC1455
writing monomials	sing_405.htm#SEC445
ws, local ordering	sing_955.htm#IDX446
wurzel	sing_1973.htm#SEC2049
xchange	sing_1967.htm#SEC2043
xdvi	sing_1892.htm#SEC1968
zdd	sing_2336.htm#IDX962
zdd2poly	sing_2353.htm#SEC2429
zero	sing_2663.htm#SEC2739
zero-dimensional	sing_2102.htm#IDX852
zeroMod	sing_1315.htm#SEC1391
zeroNcfrac	sing_693.htm#SEC745
zeroOpt	sing_1324.htm#SEC1400
zeroRadical	sing_1221.htm#SEC1297
zeroSet	sing_1860.htm#SEC1936
zerodec	sing_1408.htm#SEC1484
zeroset.lib	sing_1855.htm#SEC1931
zeroset_lib	sing_1855.htm#SEC1931
zetaDL	sing_1545.htm#SEC1621
{	sing_36.htm#IDX78
||	sing_36.htm#IDX103
|| 	sing_101.htm#SEC141
}	sing_36.htm#IDX79
~	sing_36.htm#IDX117
~ 	sing_397.htm#SEC437
