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--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
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--singular	sing_19.htm#IDX70
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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
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.singularrc file, no loading	sing_19.htm#IDX46
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?	sing_36.htm#IDX106
? 	sing_308.htm#IDX148
AG codes	sing_889.htm#SEC941
AGcode_L	sing_1832.htm#SEC1908
AGcode_Omega	sing_1833.htm#SEC1909
ASCII	sing_938.htm#SEC1014
ASCII links	sing_112.htm#SEC152
ASSUME	sing_64.htm#SEC101
A_L	sing_1531.htm#SEC1607
A_Z	sing_937.htm#SEC1013
Access to elements of a user defined type	sing_180.htm#SEC220
Adj_div	sing_1827.htm#SEC1903
Adjoint ideal	sing_1408.htm#IDX542
Alexander polynomial	sing_1502.htm#IDX566
Algebraic Geometry codes	sing_1826.htm#IDX714
Algebraic dependence	sing_870.htm#SEC922
Algebraic geometry	sing_1383.htm#SEC1459
AltVarEnd	sing_783.htm#SEC835
AltVarStart	sing_782.htm#SEC834
Ann	sing_1322.htm#SEC1398
Appel function	sing_612.htm#IDX345
Appel hypergeometric function	sing_612.htm#IDX346
Applications	sing_887.htm#SEC939
ArnoldAction	sing_1624.htm#SEC1700
Assignments for user defined types	sing_182.htm#SEC222
Atkin	sing_1915.htm#SEC1991
Authors	sing_1.htm#IDX16
BINresol	sing_1421.htm#SEC1497
Background	sing_3.htm#SEC5
Basic programming	sing_845.htm#SEC897
Basic programming 	sing_845.htm#SEC897
BelongSemig	sing_2233.htm#SEC2309
BerlekampMassey	sing_2259.htm#SEC2335
Bern	sing_2211.htm#SEC2287
Bernstein operator	sing_589.htm#IDX327
Bernstein-Sato polynomial	sing_554.htm#IDX308
Bernstein-Sato polynomial 	sing_589.htm#IDX324
Bernstein-Sato polynomial  	sing_1565.htm#IDX597
Bernstein-Sato polynomial   	sing_1569.htm#IDX614
Bernstein-Sato polynomial for variety	sing_645.htm#IDX349
Betti number	sing_904.htm#SEC961
Bigatti-La Scala-Robbiano algorithm	sing_914.htm#SEC971
BlowingUp	sing_1544.htm#SEC1620
Blowupcenter	sing_1424.htm#SEC1500
BorelCheck	sing_1499.htm#SEC1575
Branches of space curve singularities	sing_878.htm#SEC930
Briancon-Maisonobe algorithm	sing_589.htm#IDX333
Brieskorn lattice	sing_1565.htm#IDX593
Brieskorn lattice 	sing_1566.htm#IDX604
Brieskorn lattice  	sing_1567.htm#IDX607
Brieskorn lattice   	sing_1568.htm#IDX610
Brieskorn lattice    	sing_1569.htm#IDX613
Brieskorn lattice     	sing_1570.htm#IDX617
Brieskorn lattice      	sing_1571.htm#IDX621
Brieskorn lattice       	sing_1572.htm#IDX627
Brieskorn lattice        	sing_1573.htm#IDX635
Brieskorn lattice         	sing_1574.htm#IDX641
Brieskorn lattice          	sing_1575.htm#IDX649
Brieskorn lattice           	sing_1576.htm#IDX659
Brieskorn lattice            	sing_1587.htm#IDX665
Brieskorn lattice             	sing_1589.htm#IDX676
Brieskorn lattice              	sing_1617.htm#IDX703
Brill-Noether algorithm	sing_1826.htm#IDX715
BrillNoether	sing_1829.htm#SEC1905
Buchberger algorithm for toric ideals	sing_915.htm#SEC972
Budur-Mustata-Saito approach	sing_645.htm#IDX353
Building Singular	sing_2475.htm#SEC2564
C programming language	sing_457.htm#SEC497
C, module ordering	sing_897.htm#IDX407
CGS, disjoint, reduced, Comprehensive Groebner System	sing_959.htm#IDX417
CM_regularity	sing_1486.htm#SEC1562
CMtype	sing_1655.htm#SEC1731
CRHT-ideal	sing_921.htm#SEC985
CYGWIN and ESingular	sing_23.htm#SEC33
Castelnuovo-Mumford regularity	sing_1486.htm#IDX558
Category string	sing_51.htm#SEC88
CenCharDec	sing_739.htm#SEC791
Center	sing_1463.htm#SEC1539
CenterBO	sing_1470.htm#SEC1546
CentralQuot	sing_737.htm#SEC789
CentralSaturation	sing_738.htm#SEC790
Change of rings	sing_9.htm#SEC15
Characteristic sets	sing_905.htm#SEC962
CharacteristicExponents	sing_1550.htm#SEC1626
ChernRootsDual	sing_2190.htm#SEC2266
ChernRootsHom	sing_2199.htm#SEC2275
ChernRootsProd	sing_2192.htm#SEC2268
ChernRootsSum	sing_2188.htm#SEC2264
ChernRootsSymm	sing_2201.htm#SEC2277
ChernRootsWedge	sing_2202.htm#SEC2278
Chevalley-Rosenlicht theorem	sing_1402.htm#IDX527
Chevalley-Rosenlicht theorem 	sing_1403.htm#IDX530
Classification of hypersurface singularities	sing_879.htm#SEC931
Classification of singularities	sing_2409.htm#IDX898
Code	sing_920.htm#SEC978
Codes and the decoding problem	sing_920.htm#SEC977
Coding theory	sing_1825.htm#SEC1901
Coefficient rings	sing_2473.htm#SEC2556
Command line options	sing_19.htm#SEC26
Commands	sing_258.htm#SEC298
Commands for user defined types	sing_181.htm#SEC221
Commutative Algebra	sing_858.htm#SEC910
Commutative algebra	sing_1141.htm#SEC1217
CompDecomp	sing_551.htm#SEC603
CompInt	sing_2235.htm#SEC2311
CompleteHomog	sing_2178.htm#SEC2254
ComplexValue	sing_2281.htm#SEC2357
Computing Groebner and Standard Bases	sing_854.htm#SEC906
ConsLevels	sing_966.htm#SEC1042
ContactMatrix	sing_1552.htm#SEC1628
Conti-Traverso algorithm	sing_910.htm#SEC967
Contributors	sing_1.htm#IDX15
Control structures	sing_425.htm#SEC465
Control theory	sing_1859.htm#SEC1935
Cooper philosophy	sing_921.htm#SEC983
Cornacchia	sing_1905.htm#SEC1981
CornacchiaModified	sing_1906.htm#SEC1982
Crep	sing_962.htm#SEC1038
Critical points	sing_873.htm#SEC925
CurveParam	sing_1546.htm#SEC1622
CurveRes	sing_1545.htm#SEC1621
Curves	sing_1408.htm#IDX539
Customization of the Emacs interface	sing_25.htm#SEC36
Cyclic code	sing_1840.htm#IDX722
Cyclic roots	sing_851.htm#SEC903
D-integration	sing_612.htm#IDX342
D-localization	sing_612.htm#IDX338
D-localization 	sing_817.htm#IDX376
D-module	sing_554.htm#IDX306
D-module 	sing_589.htm#IDX321
D-module  	sing_612.htm#IDX335
D-module   	sing_645.htm#IDX347
D-module    	sing_795.htm#IDX361
D-module     	sing_817.htm#IDX373
D-module structure	sing_589.htm#IDX322
D-module structure 	sing_645.htm#IDX348
D-restriction	sing_612.htm#IDX340
DBM links	sing_117.htm#SEC157
DISPLAY environment variable	sing_16.htm#IDX28
DLoc	sing_615.htm#SEC667
DLoc0	sing_617.htm#SEC669
Data types	sing_72.htm#SEC112
Data types (plural)	sing_471.htm#IDX292
Debugging tools	sing_63.htm#SEC100
Decker, Wolfram	sing_1.htm#IDX17
Declaration of objects of a user defined type	sing_179.htm#SEC219
Decoding	sing_1840.htm#IDX724
Decoding codes with Groebner bases	sing_919.htm#SEC976
Decoding method based on quadratic equations	sing_924.htm#SEC994
Definition of a user defined type	sing_178.htm#SEC218
Deformations	sing_876.htm#SEC928
Deformations, T1 and T2	sing_875.htm#SEC927
Degree	sing_1387.htm#SEC1463
Delta	sing_1471.htm#SEC1547
DeltaList	sing_1472.htm#SEC1548
Demo mode	sing_24.htm#SEC35
Depth	sing_865.htm#SEC917
Determinacy	sing_2412.htm#IDX902
Di Biase-Urbanke algorithm	sing_913.htm#SEC970
Distributed computing	sing_982.htm#IDX431
Dlocalization	sing_818.htm#SEC870
Documentation Tool	sing_60.htm#SEC97
Dp, global ordering	sing_895.htm#IDX390
Ds, local ordering	sing_896.htm#IDX400
DsingularLocus	sing_822.htm#SEC874
Dynamic loading	sing_71.htm#SEC111
Dynamic modules	sing_853.htm#SEC905
ECPP	sing_1949.htm#SEC2025
ECoef	sing_1430.htm#SEC1506
EOrdlist	sing_1428.htm#SEC1504
ERROR	sing_287.htm#SEC327
ESingular, CYGWIN	sing_23.htm#SEC33
Edatalist	sing_1427.htm#SEC1503
Edelman-Reiner	sing_2156.htm#IDX833
Editing SINGULAR input files with Emacs	sing_26.htm#SEC37
Editing input	sing_18.htm#SEC25
Elimination	sing_861.htm#SEC913
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_1432.htm#SEC1508
Equal	sing_1386.htm#SEC1462
Eresol	sing_1422.htm#SEC1498
Evaluation of logical expressions	sing_459.htm#SEC499
Examples	sing_843.htm#SEC895
Examples of ring declarations	sing_29.htm#SEC40
Exp for matrices	sing_1404.htm#IDX531
Experimental libraries	sing_2127.htm#SEC2203
Ext	sing_1201.htm#SEC1277
Ext, computation of	sing_864.htm#SEC916
Ext_R	sing_1200.htm#SEC1276
Exterior	sing_769.htm#SEC821
Extra weight vector	sing_900.htm#SEC952
Factorization	sing_866.htm#SEC918
Feynman graph	sing_1177.htm#IDX468
Finite fields	sing_860.htm#SEC912
First steps	sing_6.htm#SEC12
Fitzgerald-Lax method	sing_923.htm#SEC991
Flow control	sing_40.htm#SEC70
Formal Checker	sing_59.htm#SEC96
Formatting output	sing_850.htm#SEC902
Free resolution	sing_862.htm#SEC914
Free resolution, graded	sing_863.htm#SEC915
Functions	sing_259.htm#SEC299
Future benefits of Singular 4	sing_2473.htm#SEC2562
G-algebra	sing_535.htm#SEC575
G-algebra 	sing_535.htm#SEC577
G-algebra, setup	sing_535.htm#SEC579
GBWeight	sing_618.htm#SEC670
GBsolve	sing_1739.htm#SEC1815
GIT	sing_2293.htm#IDX884
GKZsystem	sing_735.htm#SEC787
GKdim	sing_708.htm#SEC760
GMP	sing_1.htm#IDX3
GND.lib	sing_2300.htm#SEC2376
GND_lib	sing_2300.htm#SEC2376
GTZmod	sing_1249.htm#SEC1325
GTZopt	sing_1256.htm#SEC1332
G_a -Invariants	sing_882.htm#SEC934
Gamma	sing_1437.htm#SEC1513
Gauss-Manin connection	sing_906.htm#SEC963
Gauss-Manin connection 	sing_1617.htm#IDX702
Gauss-Manin connection  	sing_1664.htm#IDX705
Gauss-Manin system	sing_1565.htm#IDX592
Gauss-Manin system 	sing_1566.htm#IDX603
Gauss-Manin system  	sing_1567.htm#IDX606
Gauss-Manin system   	sing_1568.htm#IDX609
Gauss-Manin system    	sing_1569.htm#IDX612
Gauss-Manin system     	sing_1570.htm#IDX616
Gauss-Manin system      	sing_1571.htm#IDX620
Gauss-Manin system       	sing_1572.htm#IDX626
Gauss-Manin system        	sing_1573.htm#IDX634
Gauss-Manin system         	sing_1574.htm#IDX640
Gauss-Manin system          	sing_1575.htm#IDX648
Gauss-Manin system           	sing_1576.htm#IDX658
Gauss-Manin system            	sing_1587.htm#IDX664
Gauss-Manin system             	sing_1589.htm#IDX675
General command syntax	sing_35.htm#SEC59
General concepts	sing_12.htm#SEC18
General purpose	sing_931.htm#SEC1007
General syntax of a ring declaration	sing_30.htm#SEC41
Generalized Hilbert Syzygy Theorem	sing_537.htm#SEC587
Generalized Newton identities	sing_922.htm#SEC988
Geometric genus	sing_1408.htm#IDX543
German Umlaute	sing_455.htm#IDX279
Getting started	sing_5.htm#SEC11
Global orderings	sing_895.htm#SEC947
Graded commutative algebras	sing_539.htm#SEC591
Greuel, Gert-Martin	sing_1.htm#IDX18
Groebner Bases	sing_854.htm#SEC906
Groebner bases in G-algebras	sing_536.htm#SEC580
Groebner bases in free associative algebras	sing_542.htm#SEC594
Groebner bases, decodeGB	sing_1840.htm#IDX726
Groebner bases, slim	sing_857.htm#SEC909
Groebner basis conversion	sing_856.htm#SEC908
Groebner cover, parametric ideal, canonical, discussion of	sing_958.htm#IDX416
Groebner cover, parametric ideal, canonical, discussion of 	sing_965.htm#IDX420
Groebner fan	sing_2044.htm#IDX743
Groebner walk	sing_1192.htm#IDX487
Groebner walk 	sing_1194.htm#IDX489
Groebner walk  	sing_2402.htm#IDX895
Groebner walk   	sing_2403.htm#IDX896
Gromov-Witten invariants	sing_1177.htm#IDX465
Gromov-Witten invariants 	sing_1183.htm#IDX474
Gromov-Witten invariants  	sing_1184.htm#IDX478
Gweights	sing_763.htm#SEC815
H2basis	sing_1622.htm#SEC1698
Hamburger-Noether expansion	sing_1502.htm#IDX562
Hamburger-Noether expansion 	sing_1590.htm#IDX684
Hamburger-Noether expansions	sing_1827.htm#IDX716
Handling graded modules	sing_863.htm#SEC915
Hcode	sing_1524.htm#SEC1600
Help string	sing_45.htm#SEC82
Hensel	sing_292.htm#SEC332
Hilbert function	sing_404.htm#IDX188
Hilbert function 	sing_903.htm#SEC957
Hilbert series	sing_903.htm#SEC957
Hilbert-driven GB algorithm	sing_856.htm#SEC908
HilbertClassPoly	sing_1912.htm#SEC1988
HilbertSeries	sing_1717.htm#SEC1793
HilbertWeights	sing_1718.htm#SEC1794
Hom	sing_1204.htm#SEC1280
HomJJ	sing_1279.htm#SEC1355
Hosten-Sturmfels algorithm	sing_912.htm#SEC969
How to enter and exit	sing_14.htm#SEC20
How to use this manual	sing_4.htm#SEC6
Hurwitz numbers	sing_1183.htm#IDX477
Hurwitz numbers 	sing_1184.htm#IDX481
Hypersurface singularities, classification of	sing_879.htm#SEC931
IN	sing_329.htm#IDX149
Ideal membership	sing_902.htm#IDX412
Identifiers, syntax of	sing_37.htm#SEC65
ImageGroup	sing_1720.htm#SEC1796
ImageVariety	sing_1719.htm#SEC1795
Imap, option	sing_364.htm#IDX175
Implemented algorithms	sing_33.htm#SEC47
Incl	sing_1385.htm#SEC1461
Index	sing_2481.htm#SEC2570
Info string	sing_52.htm#SEC89
InterDiv	sing_1453.htm#SEC1529
Interactive use	sing_13.htm#SEC19
Interrupting SINGULAR	sing_17.htm#SEC24
IntersectWithSub	sing_740.htm#SEC792
IntersectionMatrix	sing_1551.htm#SEC1627
Introduction	sing_2.htm#SEC4
Invariant Theory	sing_881.htm#SEC933
Invariant theory	sing_1669.htm#SEC1745
InvariantQ	sing_1722.htm#SEC1798
InvariantRing	sing_1721.htm#SEC1797
Invariants of a finite group	sing_883.htm#SEC935
Invariants of plane curve singularities	sing_877.htm#SEC929
IsSCA	sing_784.htm#SEC836
J-marked schemes	sing_1493.htm#IDX560
J-marked schemes, Borel ideals	sing_1498.htm#IDX561
JMBTest.lib	sing_1493.htm#SEC1569
JMBTest_lib	sing_1493.htm#SEC1569
JMSConst.lib	sing_1498.htm#SEC1574
JMSConst_lib	sing_1498.htm#SEC1574
JMarkedScheme	sing_1500.htm#SEC1576
Jacobi	sing_1922.htm#SEC1998
Jacobson form	sing_1877.htm#IDX727
Jacobson normal form	sing_1877.htm#IDX728
JuReTopDim	sing_1395.htm#SEC1471
JuReZeroDim	sing_1396.htm#SEC1472
KScoef	sing_1615.htm#SEC1691
KSconvert	sing_1613.htm#SEC1689
KSker	sing_1612.htm#SEC1688
KSlinear	sing_1614.htm#SEC1690
KSpencerKernel	sing_1662.htm#SEC1738
KeneshlouMatrixPresentation	sing_2319.htm#SEC2395
Kernel of module homomorphisms	sing_869.htm#SEC921
KoszulHomology	sing_1213.htm#SEC1289
LETTERPLACE	sing_540.htm#SEC592
LIB	sing_333.htm#SEC373
LIB commands	sing_53.htm#SEC90
LIBs	sing_927.htm#SEC1003
LLL	sing_406.htm#IDX219
LOT algorithm	sing_589.htm#IDX334
LU-decomposition of a matrix of numbers	sing_338.htm#SEC378
Laurent series	sing_1181.htm#IDX473
Left and two-sided Groebner bases	sing_885.htm#SEC937
Left ideal membership	sing_536.htm#SEC583
Left normal form	sing_536.htm#SEC582
LengthSym	sing_794.htm#SEC846
LengthSymElement	sing_793.htm#SEC845
Letterplace	sing_540.htm#SEC592
Lexicographic Groebner bases, computation of	sing_856.htm#SEC908
Libraries	sing_48.htm#SEC85
Libraries 	sing_846.htm#SEC898
Libraries in the SINGULAR Documentation	sing_49.htm#SEC86
Library versioning	sing_2473.htm#SEC2560
Lie algebra	sing_1403.htm#IDX528
Lie group	sing_1406.htm#IDX533
Lie group 	sing_1407.htm#IDX536
Limitations	sing_455.htm#SEC495
Linear algebra	sing_1081.htm#SEC1157
Linear code	sing_1840.htm#IDX723
LinearActionQ	sing_1724.htm#SEC1800
LinearCombinationQ	sing_1725.htm#SEC1801
LinearizeAction	sing_1723.htm#SEC1799
Loading a library	sing_62.htm#SEC99
Local orderings	sing_896.htm#SEC948
Log for matrices	sing_1405.htm#IDX532
Long coefficients	sing_848.htm#SEC900
M, ordering	sing_898.htm#SEC950
MVComplex	sing_2415.htm#SEC2491
Macintosh installation	sing_2480.htm#SEC2569
Mathematical background	sing_901.htm#SEC953
Mathematical background (plural)	sing_534.htm#SEC574
Matrix orderings	sing_898.htm#SEC950
Max	sing_1631.htm#SEC1707
Maximus	sing_1495.htm#SEC1571
Maxord	sing_1436.htm#SEC1512
MillerRabin	sing_1932.htm#SEC2008
Milnor number	sing_872.htm#SEC924
Milnor number 	sing_2411.htm#IDX901
Min	sing_1632.htm#SEC1708
MinMult	sing_2234.htm#SEC2310
MinimalDecomposition	sing_1726.htm#SEC1802
Minimum distance	sing_1840.htm#IDX725
Minimus	sing_1494.htm#SEC1570
Miscellaneous libraries	sing_2102.htm#SEC2178
ModEqn	sing_1625.htm#SEC1701
Modular techniques	sing_982.htm#IDX428
Module orderings	sing_897.htm#SEC949
Modules and and their annihilator	sing_10.htm#SEC16
Monodromy	sing_1617.htm#IDX700
Monomial orderings	sing_892.htm#SEC944
Monomial orderings, Term orderings	sing_31.htm#SEC44
Morse lemma	sing_2410.htm#IDX899
MultiplicitySequence	sing_1549.htm#SEC1625
NF	sing_383.htm#SEC423
NF 	sing_526.htm#SEC566
NFMora	sing_1998.htm#SEC2074
NPos	sing_1269.htm#SEC1345
NPos_test	sing_1267.htm#SEC1343
NSplaces	sing_1828.htm#SEC1904
NTL	sing_1.htm#IDX4
Names	sing_37.htm#SEC65
Names in procedures	sing_46.htm#SEC83
Names, indexed	sing_37.htm#SEC65
New libraries depending on Singular 4	sing_2473.htm#SEC2558
New orderings for modules	sing_2473.htm#SEC2561
Newton non-degenerate	sing_1604.htm#IDX698
Newton polygon	sing_1603.htm#IDX697
Newton polygon 	sing_1604.htm#IDX699
Newton polytope	sing_2044.htm#IDX742
NoetherPosition	sing_1263.htm#SEC1339
Non-commutative LIBs	sing_546.htm#SEC598
Non-commutative algebra	sing_884.htm#SEC936
Non-commutative algebra 	sing_918.htm#SEC975
Non-commutative libraries	sing_546.htm#SEC598
Non-commutative subsystem	sing_469.htm#SEC509
Nonhyp	sing_1425.htm#SEC1501
Normal form	sing_902.htm#IDX411
Normalization	sing_868.htm#SEC920
Notes for Singular users	sing_2473.htm#SEC2555
Notes for developers	sing_2474.htm#SEC2563
NullCone	sing_1727.htm#SEC1803
NumIrrDecom	sing_1399.htm#SEC1475
NumLocalDim	sing_1388.htm#SEC1464
NumPrimDecom	sing_1401.htm#SEC1477
Oaku-Takayama algorithm	sing_589.htm#IDX332
Objects	sing_38.htm#SEC66
Orlik-Solomon	sing_2157.htm#IDX834
Output, formatting of	sing_850.htm#SEC902
PBW	sing_568.htm#IDX320
PBW basis	sing_535.htm#SEC576
PBW_eqDeg	sing_586.htm#SEC638
PBW_maxDeg	sing_587.htm#SEC639
PBW_maxMonom	sing_588.htm#SEC640
PEsolve	sing_1737.htm#SEC1813
PH_ais	sing_2106.htm#SEC2182
PH_nais	sing_2107.htm#SEC2183
PLURAL	sing_470.htm#SEC510
PLURAL LIBs	sing_546.htm#SEC598
ParToVar	sing_2283.htm#SEC2359
Parallelization	sing_852.htm#SEC904
Parallelization 	sing_982.htm#IDX429
Parameter list	sing_44.htm#SEC81
Parameters	sing_849.htm#SEC901
Parametrization	sing_1408.htm#IDX540
Parametrization, image.	sing_1418.htm#IDX552
PartC	sing_2229.htm#SEC2305
PartitionVar	sing_2280.htm#SEC2356
Path names	sing_2473.htm#SEC2559
PerfectPowerTest	sing_1895.htm#SEC1971
Perturbation walk	sing_1193.htm#IDX488
Pfister, Gerhard	sing_1.htm#IDX19
Pipe links	sing_116.htm#SEC156
PocklingtonLehmer	sing_1934.htm#SEC2010
Poincare polynomial	sing_2169.htm#IDX858
Polar curves	sing_874.htm#SEC926
PollardRho	sing_1935.htm#SEC2011
PolyBoRi, Boolean Groebner Basis	sing_2109.htm#IDX759
PolyBoRi, Boolean Groebner Basis 	sing_2111.htm#IDX760
PolyBoRi, Boolean Groebner Basis  	sing_2112.htm#IDX761
PolyBoRi, Boolean Groebner Basis   	sing_2113.htm#IDX762
PolyBoRi, Boolean Groebner Basis    	sing_2114.htm#IDX763
PolyBoRi, Boolean Groebner Basis     	sing_2115.htm#IDX764
PolyBoRi, Boolean Groebner Basis      	sing_2116.htm#IDX765
PolyBoRi, Boolean Groebner Basis       	sing_2117.htm#IDX766
PolyBoRi, Boolean Groebner Basis        	sing_2118.htm#IDX767
PolyBoRi, Boolean Groebner Basis         	sing_2119.htm#IDX768
PolyBoRi, Boolean Groebner Basis          	sing_2120.htm#IDX769
PolyBoRi, Boolean Groebner Basis           	sing_2121.htm#IDX770
PolyBoRi, Boolean Groebner Basis            	sing_2122.htm#IDX771
PolyBoRi, Boolean Groebner Basis             	sing_2123.htm#IDX772
PolyBoRi, Boolean Groebner Basis              	sing_2125.htm#IDX774
PolyBoRi, zero-supressed decision diagram	sing_2124.htm#IDX773
Polybori, Boolean Groebner Basis	sing_2126.htm#IDX775
Polynomial data	sing_890.htm#SEC942
Pottier algorithm	sing_911.htm#SEC968
Preface	sing_1.htm#SEC1
Prep	sing_963.htm#SEC1039
Primary decomposition	sing_867.htm#SEC919
PrimdecA	sing_1245.htm#SEC1321
PrimdecB	sing_1246.htm#SEC1322
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_846.htm#SEC898
Procedures in a library	sing_54.htm#SEC91
Product orderings	sing_899.htm#SEC951
Programming	sing_844.htm#SEC896
PtoCrep	sing_964.htm#SEC1040
Puiseux expansion	sing_1502.htm#IDX563
Puiseux expansion 	sing_1590.htm#IDX685
Puiseux pairs	sing_877.htm#SEC929
Puiseux pairs 	sing_1596.htm#IDX690
Qso3Casimir	sing_734.htm#SEC786
Quotient	sing_1779.htm#SEC1855
QuotientEquations	sing_1626.htm#SEC1702
Rational curves	sing_1408.htm#IDX541
ReJunkUseHomo	sing_1394.htm#SEC1470
ReesAlgebra	sing_1361.htm#SEC1437
References	sing_926.htm#SEC1000
References (plural)	sing_538.htm#SEC588
Release Notes	sing_2469.htm#SEC2545
ResTree	sing_1454.htm#SEC1530
Resolution	sing_11.htm#SEC17
Resolution of singularities	sing_880.htm#SEC932
Resolution, free	sing_862.htm#SEC914
ReynoldsImage	sing_1728.htm#SEC1804
ReynoldsOperator	sing_1729.htm#SEC1805
RiemannRochBN	sing_2174.htm#SEC2250
RiemannRochHess	sing_2338.htm#SEC2414
Right Groebner bases and syzygies	sing_886.htm#SEC938
Ring-dependent options	sing_2473.htm#SEC2557
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_539.htm#SEC591
SDB breakpoint	sing_66.htm#SEC106
SDB debugger	sing_66.htm#SEC106
SDLoc	sing_616.htm#SEC668
SINGULAR libraries	sing_927.htm#SEC1003
SINGULARHIST	sing_18.htm#SEC25
SScontinue	sing_1065.htm#SEC1141
SSres	sing_1063.htm#SEC1139
SSsyz	sing_1064.htm#SEC1140
SV-decoding algorithm	sing_1835.htm#IDX719
SV-decoding algorithm, preprocessing	sing_1834.htm#IDX718
Sannfs	sing_592.htm#SEC644
SannfsBFCT	sing_601.htm#SEC653
SannfsVar	sing_648.htm#SEC700
Sannfslog	sing_593.htm#SEC645
Saturation	sing_859.htm#SEC911
Saturation 	sing_1174.htm#IDX459
Saturation  	sing_2468.htm#SEC2544
Sch@"onemann, Hans	sing_1.htm#IDX20
Schoof	sing_1946.htm#SEC2022
Schreyer ordering	sing_1058.htm#IDX446
Schreyer resolution	sing_1058.htm#IDX447
SchurCh	sing_2226.htm#SEC2302
SchurS	sing_2225.htm#SEC2301
Scontinue	sing_1062.htm#SEC1138
Semigroup	sing_1542.htm#SEC1618
Setting up a G-algebra	sing_535.htm#SEC579
ShanksMestre	sing_1945.htm#SEC2021
SimplifyIdeal	sing_1730.htm#SEC1806
Singular	sing_406.htm#IDX251
Singular 3 and Singular 4	sing_2471.htm#SEC2553
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_1392.htm#SEC1468
SingularLib	sing_406.htm#IDX253
Singularities	sing_1501.htm#SEC1577
Singularity Theory	sing_871.htm#SEC923
Skeletons for parallelization	sing_982.htm#IDX430
Smith form	sing_1877.htm#IDX729
Smith normal form	sing_1877.htm#IDX730
SolowayStrassen	sing_1933.htm#SEC2009
Solving systems of polynomial equations	sing_888.htm#SEC940
Source code debugger, invocation	sing_19.htm#IDX33
Space curve singularities, branches of	sing_878.htm#SEC930
Special characters	sing_36.htm#SEC64
Splitting lemma	sing_2410.htm#IDX900
Sres	sing_1060.htm#SEC1136
Ssi file links	sing_114.htm#SEC154
Ssi links	sing_113.htm#SEC153
Ssi tcp links	sing_115.htm#SEC155
Ssyz	sing_1061.htm#SEC1137
StabEqn	sing_1627.htm#SEC1703
StabEqnId	sing_1628.htm#SEC1704
StabOrder	sing_1629.htm#SEC1705
Standard Bases	sing_854.htm#SEC906
Standard bases	sing_902.htm#SEC954
StartOrderingV	sing_1496.htm#SEC1572
Startup sequence	sing_20.htm#SEC27
StringF	sing_1616.htm#SEC1692
SymGroup	sing_792.htm#SEC844
Symbolic-numerical solving	sing_888.htm#SEC940
Symbolic-numerical solving 	sing_1734.htm#SEC1810
System and Control theory	sing_1859.htm#SEC1935
System dependent limitations	sing_456.htm#SEC496
System variables	sing_442.htm#SEC482
Syzygies and resolutions	sing_904.htm#SEC958
Syzygies and resolutions (plural)	sing_537.htm#SEC584
T1	sing_875.htm#SEC927
T2	sing_875.htm#SEC927
TRACE	sing_65.htm#SEC102
TRACE 	sing_451.htm#SEC491
T_1	sing_1649.htm#SEC1725
T_12	sing_1651.htm#SEC1727
T_2	sing_1650.htm#SEC1726
Teaching	sing_1891.htm#SEC1967
Template for writing a library	sing_55.htm#SEC92
TestGRRes	sing_2318.htm#SEC2394
TestJMark	sing_1497.htm#SEC1573
The SINGULAR language	sing_34.htm#SEC56
The Tran algorithm	sing_1190.htm#IDX485
The fractal walk algorithm	sing_1189.htm#IDX484
The fractal walk algorithm 	sing_2404.htm#IDX897
The online help system	sing_16.htm#SEC22
Tjurina	sing_1647.htm#SEC1723
Tjurina number	sing_872.htm#SEC924
Tjurina number 	sing_1284.htm#IDX512
Top 20 Emacs commands	sing_27.htm#SEC38
Tor	sing_1215.htm#SEC1291
Toric ideals and integer programming	sing_907.htm#SEC964
Tricks and pitfalls	sing_454.htm#SEC494
Tropical Geometry	sing_2043.htm#SEC2119
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_1130.htm#SEC1206
Unix installation	sing_2478.htm#SEC2567
UpOneMatrix	sing_781.htm#SEC833
UpperMonomials	sing_1630.htm#SEC1706
UseBertini	sing_1391.htm#SEC1467
User defined types	sing_177.htm#SEC217
V-filtration	sing_1565.htm#IDX595
V-filtration 	sing_1571.htm#IDX623
V-filtration  	sing_1572.htm#IDX629
V-filtration   	sing_1573.htm#IDX637
V-filtration    	sing_1574.htm#IDX643
V-filtration     	sing_1575.htm#IDX651
V-filtration      	sing_1576.htm#IDX661
V-filtration       	sing_1587.htm#IDX667
V-filtration        	sing_1589.htm#IDX678
VarToPar	sing_2282.htm#SEC2358
Variables, indexed	sing_37.htm#SEC65
Version number	sing_2472.htm#SEC2554
Version schema for Singular	sing_2472.htm#SEC2554
Version string	sing_50.htm#SEC87
Visualization	sing_1797.htm#SEC1873
WP, global ordering	sing_895.htm#IDX394
WSemigroup	sing_1547.htm#SEC1623
Weierstrass	sing_1830.htm#SEC1906
Weierstrass semigroup	sing_1826.htm#IDX713
Weyl	sing_766.htm#SEC818
Weyl algebra	sing_589.htm#IDX326
Weyl algebra 	sing_645.htm#IDX351
Weyl closure	sing_817.htm#IDX379
WeylClosure	sing_819.htm#SEC871
WeylClosure1	sing_820.htm#SEC872
Windows installation	sing_2479.htm#SEC2568
WitSet	sing_1398.htm#SEC1474
WitSupSet	sing_1397.htm#SEC1473
Ws, local ordering	sing_896.htm#IDX406
XLsolve	sing_1740.htm#SEC1816
ZZsolve	sing_1741.htm#SEC1817
[	sing_36.htm#IDX83
[]	sing_137.htm#SEC177
[] 	sing_150.htm#SEC190
[]  	sing_170.htm#SEC210
[]   	sing_175.htm#SEC215
\	sing_36.htm#IDX112
]	sing_36.htm#IDX84
^	sing_36.htm#IDX92
^ 	sing_76.htm#SEC116
^  	sing_88.htm#SEC128
^   	sing_142.htm#SEC182
^    	sing_150.htm#SEC190
_	sing_36.htm#IDX116
`	sing_36.htm#IDX105
a, ordering	sing_900.htm#SEC952
absFactorize	sing_1143.htm#SEC1219
absFactorizeBCG	sing_1144.htm#SEC1220
absPrimdecGTZ	sing_1341.htm#SEC1417
absPrimdecGTZE	sing_1342.htm#SEC1418
absValue	sing_939.htm#SEC1015
absfact.lib	sing_1142.htm#SEC1218
absfact_lib	sing_1142.htm#SEC1218
absolute factorization.	sing_1142.htm#IDX458
abstractR	sing_1480.htm#SEC1556
actionIsProper	sing_1710.htm#SEC1786
addNvarsTo	sing_1057.htm#SEC1133
addRat	sing_838.htm#SEC890
addcol	sing_1099.htm#SEC1175
addcores	sing_1025.htm#SEC1101
addrow	sing_1100.htm#SEC1176
addvarsTo	sing_1056.htm#SEC1132
ademRelations	sing_698.htm#SEC750
adjoint	sing_1124.htm#SEC1200
adjointIdeal	sing_1409.htm#SEC1485
adjunction divisor	sing_1827.htm#IDX717
admissibleSub	sing_757.htm#SEC809
afaces	sing_2294.htm#SEC2370
affine code	sing_923.htm#SEC992
ainvar.lib	sing_1707.htm#SEC1783
ainvar_lib	sing_1707.htm#SEC1783
aksaka.lib	sing_1892.htm#SEC1968
aksaka_lib	sing_1892.htm#SEC1968
alexanderpolynomial	sing_1505.htm#SEC1581
alexpoly.lib	sing_1502.htm#SEC1578
alexpoly_lib	sing_1502.htm#SEC1578
algDependent	sing_1149.htm#SEC1225
alg_kernel	sing_1150.htm#SEC1226
algebra.lib	sing_1145.htm#SEC1221
algebra_containment	sing_1146.htm#SEC1222
algebra_lib	sing_1145.htm#SEC1221
algebraic dependence	sing_787.htm#IDX357
algebraic field extension	sing_1355.htm#IDX517
algebraicDependence	sing_1368.htm#SEC1444
algorithm of Bigatti, La Scala and Robbiano	sing_914.htm#SEC971
algorithm of Conti and Traverso	sing_910.htm#SEC967
algorithm of Di Biase and Urbanke	sing_913.htm#SEC970
algorithm of Hosten and Sturmfels	sing_912.htm#SEC969
algorithm of Pottier	sing_911.htm#SEC968
align	sing_260.htm#SEC300
all.lib	sing_932.htm#SEC1008
allDoubleExt	sing_804.htm#SEC856
allExtOfLeft	sing_801.htm#SEC853
allExtOfRight	sing_802.htm#SEC854
allPositive	sing_565.htm#SEC617
all_lib	sing_932.htm#SEC1008
allowing net access	sing_19.htm#IDX41
allprint	sing_973.htm#SEC1049
allreal	sing_2035.htm#SEC2111
allrealst	sing_2033.htm#SEC2109
allsquarefree	sing_1609.htm#SEC1685
ambientDimension	sing_187.htm#SEC227
and	sing_96.htm#SEC136
and 	sing_459.htm#SEC499
annPoly	sing_613.htm#SEC665
annRat	sing_614.htm#SEC666
annRatSyz	sing_827.htm#SEC879
annfs	sing_590.htm#SEC642
annfs0	sing_602.htm#SEC654
annfs2	sing_603.htm#SEC655
annfsBMI	sing_599.htm#SEC651
annfsParamBM	sing_598.htm#SEC650
annfsRB	sing_604.htm#SEC656
annfspecial	sing_591.htm#SEC643
annihilator of polynomial	sing_612.htm#IDX336
annihilator of rational function	sing_612.htm#IDX337
annihilator of rational function 	sing_817.htm#IDX382
annil	sing_1251.htm#SEC1327
appelF1	sing_631.htm#SEC683
appelF2	sing_632.htm#SEC684
appelF4	sing_633.htm#SEC685
appendWeight2Ord	sing_759.htm#SEC811
apply	sing_426.htm#SEC466
applyAdF	sing_581.htm#SEC633
arcpoint.lib	sing_1515.htm#SEC1591
arcpoint_lib	sing_1515.htm#SEC1591
areZeroElements	sing_2380.htm#SEC2456
argument, default	sing_44.htm#SEC81
argument, optional	sing_44.htm#SEC81
arr.lib	sing_2128.htm#SEC2204
arr2multarr	sing_2161.htm#SEC2237
arrBoolean	sing_2150.htm#SEC2226
arrBoundedChambers	sing_2171.htm#SEC2247
arrBraid	sing_2151.htm#SEC2227
arrCenter	sing_2138.htm#SEC2214
arrCentered	sing_2140.htm#SEC2216
arrCentral	sing_2139.htm#SEC2215
arrCentralize	sing_2141.htm#SEC2217
arrChambers	sing_2170.htm#SEC2246
arrCharPoly	sing_2168.htm#SEC2244
arrCone	sing_2144.htm#SEC2220
arrCoordChange	sing_2142.htm#SEC2218
arrCoordNormalize	sing_2143.htm#SEC2219
arrDecone	sing_2145.htm#SEC2221
arrDer	sing_2158.htm#SEC2234
arrEdelmanReiner	sing_2156.htm#SEC2232
arrEssentialize	sing_2149.htm#SEC2225
arrExponents	sing_2160.htm#SEC2236
arrFlats	sing_2165.htm#SEC2241
arrIsEssential	sing_2148.htm#SEC2224
arrIsFree	sing_2159.htm#SEC2235
arrLastVar	sing_2137.htm#SEC2213
arrLattice	sing_2166.htm#SEC2242
arrLocalize	sing_2146.htm#SEC2222
arrOrlikSolomon	sing_2157.htm#SEC2233
arrPoincare	sing_2169.htm#SEC2245
arrPrintMatrix	sing_2133.htm#SEC2209
arrRandom	sing_2154.htm#SEC2230
arrRandomCentral	sing_2155.htm#SEC2231
arrRestrict	sing_2147.htm#SEC2223
arrSet	sing_2129.htm#SEC2205
arrSwapVar	sing_2136.htm#SEC2212
arrTypeB	sing_2152.htm#SEC2228
arrTypeD	sing_2153.htm#SEC2229
arr_lib	sing_2128.htm#SEC2204
arrange	sing_606.htm#SEC658
arrangement	sing_2129.htm#IDX776
arrangement 	sing_2130.htm#IDX781
arrangement  	sing_2161.htm#IDX843
arrangement   	sing_2162.htm#IDX846
ask	sing_1900.htm#SEC1976
assPrimes	sing_1160.htm#SEC1236
assign	sing_2129.htm#IDX778
assignment,custom	sing_182.htm#SEC222
assprimeszerodim.lib	sing_1158.htm#SEC1234
assprimeszerodim_lib	sing_1158.htm#SEC1234
atkins.lib	sing_1901.htm#SEC1977
atkins_lib	sing_1901.htm#SEC1977
attrib	sing_261.htm#SEC301
autonom	sing_1864.htm#SEC1940
autonomDim	sing_1865.htm#SEC1941
awalk1	sing_1191.htm#SEC1267
awalk2	sing_1192.htm#SEC1268
b-function	sing_554.htm#IDX309
bFactor	sing_636.htm#SEC688
babyGiant	sing_1930.htm#SEC2006
backward	sing_2269.htm#SEC2345
bareiss	sing_262.htm#SEC302
base2str	sing_935.htm#SEC1011
basering	sing_28.htm#IDX76
basering 	sing_83.htm#SEC123
basicinvariants	sing_1521.htm#SEC1597
belongSemigroup	sing_1163.htm#SEC1239
bernstein	sing_1569.htm#SEC1645
bernsteinBM	sing_594.htm#SEC646
bernsteinLift	sing_595.htm#SEC647
bertini2Singular	sing_1393.htm#SEC1469
betti	sing_263.htm#SEC303
betti (plural)	sing_504.htm#SEC544
bfct	sing_555.htm#SEC607
bfctAnn	sing_557.htm#SEC609
bfctBound	sing_826.htm#SEC878
bfctIdeal	sing_559.htm#SEC611
bfctOneGB	sing_558.htm#SEC610
bfctSyz	sing_556.htm#SEC608
bfctVarAnn	sing_647.htm#SEC699
bfctVarIn	sing_646.htm#SEC698
bfun.lib	sing_554.htm#SEC606
bfun_lib	sing_554.htm#SEC606
bigint	sing_73.htm#SEC113
bigint declarations	sing_74.htm#SEC114
bigint expressions	sing_75.htm#SEC115
bigint operations	sing_76.htm#SEC116
bigint related functions	sing_77.htm#SEC117
bigintmat	sing_78.htm#SEC118
bigintmat declarations	sing_79.htm#SEC119
bigintmat expressions	sing_80.htm#SEC120
bigintmat operations	sing_82.htm#SEC122
bigintmat type cast	sing_81.htm#SEC121
bimodules	sing_547.htm#IDX297
bimodules.lib	sing_547.htm#SEC599
bimodules_lib	sing_547.htm#SEC599
binary_add	sing_1953.htm#SEC2029
binomial	sing_940.htm#SEC1016
binomials2intmat	sing_1316.htm#SEC1392
birational map, image, inverse.	sing_1410.htm#IDX546
bistd	sing_548.htm#SEC600
bisyzygies	sing_547.htm#IDX298
bitrinity	sing_549.htm#SEC601
blackbox	sing_243.htm#SEC283
blackbox 	sing_251.htm#SEC291
block	sing_40.htm#SEC70
block 	sing_425.htm#SEC465
blowUp	sing_1461.htm#SEC1537
blowUp2	sing_1462.htm#SEC1538
blowUpBO	sing_1468.htm#SEC1544
blowup0	sing_1168.htm#SEC1244
boolean	sing_2150.htm#IDX820
boolean expressions	sing_95.htm#SEC135
boolean operations	sing_96.htm#SEC136
boolean_constant	sing_2111.htm#SEC2187
boolean_ideal	sing_2115.htm#SEC2191
boolean_poly	sing_2112.htm#SEC2188
boolean_poly_ring	sing_2110.htm#SEC2186
boolean_set	sing_2116.htm#SEC2192
boolean_std	sing_2109.htm#SEC2185
boundBuFou	sing_2030.htm#SEC2106
boundDes	sing_2032.htm#SEC2108
boundaryLatticePoints	sing_2427.htm#SEC2503
boundposDes	sing_2031.htm#SEC2107
bracket	sing_406.htm#IDX196
bracket 	sing_462.htm#SEC502
bracket  	sing_505.htm#SEC545
braid	sing_2151.htm#IDX822
branchTo	sing_155.htm#SEC195
break	sing_427.htm#SEC467
break point	sing_441.htm#SEC481
breakpoint	sing_428.htm#SEC468
brillnoether.lib	sing_2173.htm#SEC2249
brillnoether_lib	sing_2173.htm#SEC2249
brnoeth.lib	sing_1826.htm#SEC1902
brnoeth_lib	sing_1826.htm#SEC1902
browser, command line option	sing_19.htm#IDX44
browser, setting the	sing_406.htm#IDX192
browsers	sing_16.htm#IDX21
browsers, setting the	sing_406.htm#IDX191
bubblesort	sing_1903.htm#SEC1979
busadj	sing_1122.htm#SEC1198
bvar	sing_2123.htm#SEC2199
c, module ordering	sing_897.htm#IDX409
cProj	sing_2215.htm#SEC2291
calculateI	sing_1435.htm#SEC1511
calculate_max_sum	sing_1972.htm#SEC2048
calculate_ordering	sing_1950.htm#SEC2026
cancelunit, option	sing_364.htm#IDX171
canonMap	sing_1196.htm#SEC1272
canonicalizeCone	sing_188.htm#SEC228
canonize	sing_1872.htm#SEC1948
cantoradd	sing_1986.htm#SEC2062
cantormult	sing_1989.htm#SEC2065
cantorred	sing_1987.htm#SEC2063
cardGroup	sing_1165.htm#SEC1241
case	sing_460.htm#SEC500
cdd	sing_1.htm#IDX10
cddlib	sing_1.htm#IDX11
center	sing_568.htm#IDX316
center 	sing_574.htm#SEC626
center  	sing_2138.htm#IDX802
center   	sing_2139.htm#IDX803
center    	sing_2140.htm#IDX805
center     	sing_2141.htm#IDX807
centerRed	sing_573.htm#SEC625
centerVS	sing_572.htm#SEC624
central	sing_2132.htm#IDX788
central 	sing_2139.htm#IDX804
central  	sing_2141.htm#IDX806
central   	sing_2155.htm#IDX831
central.lib	sing_568.htm#SEC620
central1st	sing_2270.htm#SEC2346
central2nd	sing_2271.htm#SEC2347
central_lib	sing_568.htm#SEC620
centralize	sing_568.htm#IDX319
centralizeSet	sing_569.htm#SEC621
centralizer	sing_568.htm#IDX317
centralizer 	sing_575.htm#SEC627
centralizerRed	sing_571.htm#SEC623
centralizerVS	sing_570.htm#SEC622
cf_class	sing_261.htm#IDX132
cgs	sing_934.htm#SEC1010
cgsdr	sing_959.htm#SEC1035
chAll	sing_2185.htm#SEC2261
chAllInv	sing_2186.htm#SEC2262
chDual	sing_2191.htm#SEC2267
chHE	sing_2187.htm#SEC2263
chHom	sing_2200.htm#SEC2276
chNum	sing_2181.htm#SEC2257
chNumbers	sing_2182.htm#SEC2258
chNumbersProj	sing_2219.htm#SEC2295
chProd	sing_2193.htm#SEC2269
chProdE	sing_2194.htm#SEC2270
chProdL	sing_2195.htm#SEC2271
chProdLP	sing_2196.htm#SEC2272
chProdM	sing_2197.htm#SEC2273
chProdMP	sing_2198.htm#SEC2274
chProj	sing_2216.htm#SEC2292
chSum	sing_2189.htm#SEC2265
chSymm	sing_2203.htm#SEC2279
chSymm2L	sing_2204.htm#SEC2280
chSymm2LP	sing_2205.htm#SEC2281
chWedge	sing_2206.htm#SEC2282
chWedge2L	sing_2207.htm#SEC2283
chWedge2LP	sing_2208.htm#SEC2284
chaincrit	sing_2000.htm#SEC2076
chambers	sing_2170.htm#IDX859
chambers 	sing_2171.htm#IDX860
changeDenominator	sing_1289.htm#SEC1365
changechar	sing_1030.htm#SEC1106
changeord	sing_1031.htm#SEC1107
changeordTo	sing_1055.htm#SEC1131
changes	sing_2470.htm#SEC2546
changevar	sing_1032.htm#SEC1108
char	sing_264.htm#SEC304
charInfo	sing_629.htm#SEC681
charVariety	sing_628.htm#SEC680
char_series	sing_265.htm#SEC305
characteristic exponents	sing_1509.htm#IDX570
characteristic exponents 	sing_1510.htm#IDX575
characteristic exponents  	sing_1511.htm#IDX578
characteristic exponents   	sing_1512.htm#IDX582
characteristic exponents    	sing_1596.htm#IDX688
characteristic polynomial	sing_2168.htm#IDX857
characteristic variety	sing_612.htm#IDX344
characteristic variety 	sing_817.htm#IDX378
charexp2conductor	sing_1512.htm#SEC1588
charexp2generators	sing_1510.htm#SEC1586
charexp2inter	sing_1511.htm#SEC1587
charexp2multseq	sing_1509.htm#SEC1585
charexp2poly	sing_1513.htm#SEC1589
charpoly	sing_1123.htm#SEC1199
charstr	sing_266.htm#SEC306
checkFactor	sing_605.htm#SEC657
checkRoot	sing_600.htm#SEC652
chern	sing_2180.htm#SEC2256
chern.lib	sing_2175.htm#SEC2251
chernCharPoly	sing_2222.htm#SEC2298
chernPoly	sing_2221.htm#SEC2297
chern_lib	sing_2175.htm#SEC2251
chineseRem	sing_1921.htm#SEC1997
chinrem	sing_267.htm#SEC307
chinrempoly	sing_2397.htm#SEC2473
chinrestp	sing_1980.htm#SEC2056
cimonom.lib	sing_2232.htm#SEC2308
cimonom_lib	sing_2232.htm#SEC2308
cisimplicial.lib	sing_1161.htm#SEC1237
cisimplicial_lib	sing_1161.htm#SEC1237
classify	sing_1522.htm#SEC1598
classify.lib	sing_1520.htm#SEC1596
classifyCeq	sing_1539.htm#SEC1615
classify_lib	sing_1520.htm#SEC1596
classifyceq.lib	sing_1538.htm#IDX585
classifyceq_lib	sing_1538.htm#IDX586
classifyci.lib	sing_1540.htm#IDX587
classifyci_lib	sing_1540.htm#IDX588
classifyicis	sing_1541.htm#SEC1617
classpoly	sing_2220.htm#SEC2296
cleanTmp	sing_2101.htm#SEC2177
cleanunit	sing_1433.htm#SEC1509
cleardenom	sing_268.htm#SEC308
close	sing_269.htm#SEC309
closed_points	sing_1836.htm#SEC1912
closetex	sing_1803.htm#SEC1879
closureFrac	sing_1282.htm#SEC1358
coHom	sing_810.htm#SEC862
codim	sing_1634.htm#SEC1710
codimension	sing_189.htm#SEC229
coding theory	sing_889.htm#SEC941
coef	sing_270.htm#SEC310
coefficient	sing_2131.htm#IDX784
coefficient 	sing_2132.htm#IDX787
coefficient  	sing_2133.htm#IDX791
coefficient field	sing_139.htm#SEC179
coefficient rings, ring of integers, zero divisors, p-adic numbers	sing_32.htm#SEC45
coefficients, long	sing_848.htm#SEC900
coeffmod	sing_1898.htm#SEC1974
coeffs	sing_271.htm#SEC311
collectDiv	sing_1478.htm#SEC1554
colrank	sing_1870.htm#SEC1946
colred	sing_1106.htm#SEC1182
commRing	sing_841.htm#SEC893
comma	sing_461.htm#SEC501
command,custom	sing_181.htm#SEC221
command-line option, setting value of	sing_406.htm#IDX275
command-line option, value of	sing_406.htm#IDX273
command-line options, print all values of	sing_406.htm#IDX272
command-line options, short help	sing_19.htm#IDX38
commands (plural)	sing_503.htm#IDX296
comment	sing_36.htm#IDX108
compareTasks	sing_1070.htm#SEC1146
completeReduction	sing_1712.htm#SEC1788
complex	sing_28.htm#IDX75
complexSingType	sing_1536.htm#SEC1612
compregb.lib	sing_933.htm#SEC1009
compregb_lib	sing_933.htm#SEC1009
comprehensive Groebner system	sing_933.htm#IDX415
compress	sing_1083.htm#SEC1159
computeConstant	sing_1181.htm#SEC1257
computeGromovWitten	sing_1184.htm#SEC1260
computeN	sing_1482.htm#SEC1558
computeV	sing_1481.htm#SEC1557
computemcm	sing_1440.htm#SEC1516
concat	sing_1084.htm#SEC1160
conductor	sing_1512.htm#IDX581
conductor, degree	sing_1596.htm#IDX691
cone	sing_183.htm#SEC223
cone 	sing_2144.htm#IDX811
cone  	sing_2145.htm#IDX813
cone related functions	sing_186.htm#SEC226
coneLink	sing_190.htm#SEC230
coneViaInequalities	sing_185.htm#SEC225
coneViaPoints	sing_184.htm#SEC224
conic, parametrization, rational point.	sing_1417.htm#IDX551
conicWithTangents	sing_2077.htm#SEC2153
constructH	sing_1441.htm#SEC1517
constructblwup	sing_1442.htm#SEC1518
constructlastblwup	sing_1443.htm#SEC1519
constructor	sing_2161.htm#IDX844
constructor 	sing_2162.htm#IDX847
contact matrix	sing_1511.htm#IDX577
containedQ	sing_1791.htm#SEC1867
containsAsFace	sing_191.htm#SEC231
containsInCollection	sing_223.htm#SEC263
containsInSupport	sing_192.htm#SEC232
containsPositiveVector	sing_193.htm#SEC233
containsRelatively	sing_194.htm#SEC234
content	sing_1004.htm#SEC1080
contentSB, option	sing_364.htm#IDX172
continue	sing_429.htm#SEC469
continue 	sing_463.htm#SEC503
contraHom	sing_811.htm#SEC863
contract	sing_272.htm#SEC312
contributors	sing_406.htm#IDX199
control	sing_1862.htm#SEC1938
control.lib	sing_1861.htm#SEC1937
controlDim	sing_1863.htm#SEC1939
controlExample	sing_1875.htm#SEC1951
control_Matrix	sing_1564.htm#SEC1640
control_lib	sing_1861.htm#SEC1937
convertdata	sing_1438.htm#SEC1514
convex geometry	sing_2416.htm#SEC2492
convexHull	sing_195.htm#SEC235
convexIntersection	sing_196.htm#SEC236
convloc	sing_609.htm#SEC661
coordinate change	sing_2141.htm#IDX808
coordinate change 	sing_2142.htm#IDX809
coordinate change  	sing_2143.htm#IDX810
coordinates	sing_2018.htm#IDX733
coords	sing_2018.htm#SEC2094
copyTask	sing_1069.htm#SEC1145
copyright	sing_1.htm#IDX1
corank	sing_1523.htm#SEC1599
cornerMonomials	sing_1319.htm#SEC1395
countPoints	sing_1943.htm#SEC2019
coverings	sing_1183.htm#IDX476
coverings 	sing_1184.htm#IDX480
cpu	sing_406.htm#IDX201
cpu 	sing_406.htm#IDX269
createBO	sing_1469.htm#SEC1545
createGradedRingHomomorphism	sing_2356.htm#SEC2432
createGroup	sing_2349.htm#SEC2425
createQuotientGroup	sing_2350.htm#SEC2426
createTask	sing_1067.htm#SEC1143
createTorsionFreeGroup	sing_2351.htm#SEC2427
createlist	sing_1451.htm#SEC1527
crypto.lib	sing_1916.htm#SEC1992
crypto_lib	sing_1916.htm#SEC1992
cup	sing_1197.htm#SEC1273
cupproduct	sing_1198.htm#SEC1274
curve singularities	sing_1502.htm#IDX564
curve singularities 	sing_1590.htm#IDX686
curvepar.lib	sing_1543.htm#SEC1619
curvepar_lib	sing_1543.htm#SEC1619
custom assignment	sing_182.htm#SEC222
custom command	sing_181.htm#SEC221
custom type	sing_178.htm#SEC218
customstd.so	sing_2467.htm#SEC2543
cycleLength	sing_2053.htm#SEC2129
cyclePoints	sing_2057.htm#SEC2133
cyclic	sing_991.htm#SEC1067
cyclic code	sing_920.htm#SEC979
cyclotomic	sing_1677.htm#SEC1753
datetime	sing_273.htm#SEC313
dbprint	sing_274.htm#SEC314
deRham.lib	sing_2413.htm#SEC2489
deRhamCohom	sing_626.htm#SEC678
deRhamCohomIdeal	sing_627.htm#SEC679
deRhamCohomology	sing_2414.htm#SEC2490
deRham_lib	sing_2413.htm#SEC2489
debugLib, option	sing_364.htm#IDX176
debug_log	sing_1533.htm#SEC1609
debugger	sing_66.htm#SEC103
debugging library code	sing_66.htm#SEC103
dec1var	sing_1250.htm#SEC1326
decimal	sing_1917.htm#SEC1993
decode	sing_1853.htm#SEC1929
decodeCode	sing_1855.htm#SEC1931
decodeRandom	sing_1854.htm#SEC1930
decodeRandomFL	sing_1858.htm#SEC1934
decodeSV	sing_1835.htm#SEC1911
decodegb.lib	sing_1840.htm#SEC1916
decodegb_lib	sing_1840.htm#SEC1916
decoding, decoding problem	sing_920.htm#SEC980
decoef	sing_1883.htm#SEC1959
decone	sing_2144.htm#IDX812
decone 	sing_2145.htm#IDX814
def	sing_83.htm#SEC123
def declarations	sing_84.htm#SEC124
defRes, option	sing_364.htm#IDX177
default argument	sing_44.htm#SEC81
defineHomogeneous	sing_2389.htm#SEC2465
defined	sing_275.htm#SEC315
defl	sing_1400.htm#SEC1476
deform	sing_1635.htm#SEC1711
deform.lib	sing_1554.htm#SEC1630
deform_lib	sing_1554.htm#SEC1630
defring	sing_1033.htm#SEC1109
defringp	sing_1035.htm#SEC1111
defrings	sing_1034.htm#SEC1110
deg	sing_276.htm#SEC316
degBound	sing_443.htm#SEC483
degree	sing_277.htm#SEC317
degree 	sing_466.htm#IDX286
degree lexicographical ordering	sing_895.htm#IDX389
degree of a polynomial	sing_466.htm#IDX290
degree reverse lexicographical ordering	sing_895.htm#IDX387
degreeDivisor	sing_2244.htm#SEC2320
degreeFormalDivisor	sing_2252.htm#SEC2328
degreepart	sing_1743.htm#SEC1819
delete	sing_121.htm#SEC161
delete 	sing_278.htm#SEC318
delete  	sing_325.htm#SEC365
deleteGenerator	sing_641.htm#SEC693
deleteSublist	sing_941.htm#SEC1017
delta	sing_1602.htm#SEC1678
delta invariant	sing_1284.htm#IDX511
delta invariant 	sing_1602.htm#IDX696
delta invariant.	sing_1276.htm#IDX504
delta invariant. 	sing_1277.htm#IDX507
delta invariant.  	sing_1278.htm#IDX510
deltaLoc	sing_1284.htm#SEC1360
denom_list	sing_406.htm#IDX203
denominator	sing_279.htm#SEC319
depth	sing_1199.htm#SEC1275
depthIdeal	sing_1260.htm#SEC1336
derivate	sing_1709.htm#SEC1785
derivation	sing_2158.htm#IDX835
desingularization	sing_2300.htm#IDX887
desingularization 	sing_2301.htm#SEC2377
det	sing_280.htm#SEC320
det_B	sing_1125.htm#SEC1201
detadj	sing_1618.htm#SEC1694
determinacy	sing_2412.htm#SEC2488
determinecenter	sing_1423.htm#SEC1499
detropicalise	sing_2095.htm#SEC2171
develop	sing_1592.htm#SEC1668
diag	sing_1085.htm#SEC1161
diagInvariants	sing_1298.htm#SEC1374
diag_test	sing_1121.htm#SEC1197
diff	sing_281.htm#SEC321
diffRat	sing_840.htm#SEC892
difpoly2tex	sing_1884.htm#SEC1960
dim	sing_282.htm#SEC322
dim (plural)	sing_506.htm#SEC546
dimGradedPart	sing_1491.htm#SEC1567
dimH	sing_1490.htm#SEC1566
dimMon	sing_1240.htm#SEC1316
dim_slocus	sing_1636.htm#SEC1712
dimension	sing_197.htm#SEC237
dimensionOfLocalization	sing_2288.htm#SEC2364
direct_boolean_poly	sing_2113.htm#SEC2189
direct_from_boolean_poly	sing_2119.htm#SEC2195
disc	sing_1904.htm#SEC1980
discr	sing_1658.htm#SEC1734
discrepancy	sing_1476.htm#SEC1552
disp_zdd	sing_2126.htm#SEC2202
displayCohom	sing_1492.htm#SEC1568
displayHNE	sing_1595.htm#SEC1671
displayInvariants	sing_1597.htm#SEC1673
displayMultsequence	sing_1599.htm#SEC1675
displayPuiseuxExpansion	sing_2070.htm#SEC2146
displayTropicalLifting	sing_2068.htm#SEC2144
distributed computing	sing_984.htm#IDX434
distributed computing 	sing_1024.htm#IDX436
distributed computing  	sing_1066.htm#IDX450
div	sing_76.htm#SEC116
div 	sing_93.htm#SEC133
div  	sing_466.htm#IDX283
divideUnits	sing_1880.htm#SEC1956
dividelist	sing_1450.htm#SEC1526
division	sing_283.htm#SEC323
division (plural)	sing_507.htm#SEC547
division, pdivi, reduce	sing_961.htm#IDX419
division, reduce	sing_960.htm#IDX418
divisor	sing_1983.htm#SEC2059
divisorplus	sing_2238.htm#SEC2314
divisors	sing_2237.htm#IDX861
divisors 	sing_2238.htm#IDX862
divisors  	sing_2239.htm#IDX863
divisors   	sing_2240.htm#IDX864
divisors    	sing_2241.htm#IDX865
divisors     	sing_2242.htm#IDX866
divisors      	sing_2243.htm#IDX867
divisors       	sing_2244.htm#IDX868
divisors        	sing_2245.htm#IDX869
divisors         	sing_2246.htm#IDX870
divisors          	sing_2247.htm#IDX871
divisors           	sing_2248.htm#IDX872
divisors            	sing_2249.htm#IDX873
divisors             	sing_2250.htm#IDX874
divisors              	sing_2251.htm#IDX875
divisors               	sing_2252.htm#IDX876
divisors, polyhedra	sing_2253.htm#IDX877
divisors, polyhedra 	sing_2254.htm#IDX878
divisors, polyhedra  	sing_2255.htm#IDX879
divisors.lib	sing_2236.htm#SEC2312
divisors_lib	sing_2236.htm#SEC2312
dmod.lib	sing_589.htm#SEC641
dmodAction	sing_835.htm#SEC887
dmodActionRat	sing_836.htm#SEC888
dmodGeneralAssumptionCheck	sing_828.htm#SEC880
dmod_lib	sing_589.htm#SEC641
dmodapp.lib	sing_612.htm#SEC664
dmodapp_lib	sing_612.htm#SEC664
dmodloc.lib	sing_817.htm#IDX371
dmodloc_lib	sing_817.htm#IDX372
dmodoublext	sing_812.htm#SEC864
dmodvar.lib	sing_645.htm#SEC697
dmodvar_lib	sing_645.htm#SEC697
double	sing_1988.htm#SEC2064
doubleExt	sing_803.htm#SEC855
downloading	sing_2477.htm#SEC2566
dp, global ordering	sing_895.htm#IDX388
drawNewtonSubdivision	sing_2073.htm#SEC2149
drawTropicalCurve	sing_2072.htm#SEC2148
ds, local ordering	sing_896.htm#IDX398
dsum	sing_1086.htm#SEC1162
dualCone	sing_198.htm#SEC238
dualConic	sing_2097.htm#SEC2173
dualPart	sing_2228.htm#SEC2304
dualPolytope	sing_240.htm#SEC280
dual_code	sing_1837.htm#SEC1913
dump	sing_284.htm#SEC324
ecart	sing_1991.htm#SEC2067
echo	sing_444.htm#SEC484
eexgcdN	sing_1918.htm#SEC1994
effective	sing_2246.htm#SEC2322
egcdMain	sing_1784.htm#SEC1860
ehrhartPolynomialCoeff	sing_2428.htm#SEC2504
ehrhartRing	sing_1294.htm#SEC1370
eigenvals	sing_1133.htm#SEC1209
eigenvalue	sing_377.htm#SEC417
eigenvalue 	sing_1133.htm#IDX456
eigenvalues	sing_1377.htm#SEC1453
elemSymmId	sing_992.htm#SEC1068
elim	sing_1170.htm#SEC1246
elim.lib	sing_1167.htm#SEC1243
elim1	sing_1171.htm#SEC1247
elim2	sing_1172.htm#SEC1248
elimRing	sing_1169.htm#SEC1245
elimWeight	sing_760.htm#SEC812
elim_lib	sing_1167.htm#SEC1243
eliminate	sing_285.htm#SEC325
eliminate (plural)	sing_508.htm#SEC548
eliminateNC	sing_755.htm#SEC807
elimination	sing_754.htm#IDX356
elimlinearpart	sing_1744.htm#SEC1820
elimpart	sing_1745.htm#SEC1821
elimpartanyr	sing_1746.htm#SEC1822
elimrep	sing_1431.htm#SEC1507
elliptic curve	sing_1180.htm#IDX472
elliptic curves	sing_1177.htm#IDX466
elliptic curves 	sing_1183.htm#IDX475
elliptic curves  	sing_1184.htm#IDX479
ellipticAdd	sing_1939.htm#SEC2015
ellipticAllPoints	sing_1944.htm#SEC2020
ellipticMult	sing_1940.htm#SEC2016
ellipticNF	sing_2060.htm#SEC2136
ellipticNFDB	sing_2061.htm#SEC2137
ellipticRandomCurve	sing_1941.htm#SEC2017
ellipticRandomPoint	sing_1942.htm#SEC2018
ellipticcovers.lib	sing_1177.htm#IDX460
ellipticcovers_lib	sing_1177.htm#IDX461
else	sing_434.htm#SEC474
embedMat	sing_786.htm#SEC838
emptyFan	sing_224.htm#SEC264
encode	sing_1845.htm#SEC1921
endomorphism filtration	sing_1576.htm#IDX662
endvfilt	sing_1576.htm#SEC1652
engine	sing_642.htm#SEC694
envelop	sing_969.htm#SEC1045
envelopdg	sing_970.htm#SEC1046
envelope	sing_509.htm#SEC549
enveloping algebra	sing_406.htm#IDX207
enveloping algebra 	sing_547.htm#IDX300
environment variable, DISPLAY	sing_16.htm#IDX29
equalJinI	sing_1519.htm#SEC1595
equalMultiDeg	sing_2382.htm#SEC2458
equations	sing_199.htm#SEC239
equiRadical	sing_1335.htm#SEC1411
equidim	sing_1337.htm#SEC1413
equidimMax	sing_1338.htm#SEC1414
equidimMaxEHV	sing_1339.htm#SEC1415
equidimZ	sing_1350.htm#SEC1426
equising.lib	sing_1559.htm#SEC1635
equising_lib	sing_1559.htm#SEC1635
equisingular Tjurina number	sing_1502.htm#IDX569
equisingularity ideal	sing_1561.htm#IDX589
equisingularity stratum	sing_1562.htm#IDX590
error recovery	sing_15.htm#SEC21
errorInsert	sing_1848.htm#SEC1924
errorRand	sing_1849.htm#SEC1925
errormap	sing_2276.htm#SEC2352
esIdeal	sing_1561.htm#SEC1637
esStratum	sing_1562.htm#SEC1638
essential	sing_2148.htm#IDX817
essential 	sing_2149.htm#IDX818
eta	sing_2055.htm#SEC2131
euler	sing_1897.htm#SEC1973
eulerChProj	sing_2218.htm#SEC2294
eval	sing_286.htm#SEC326
evaluateFormalDivisor	sing_2248.htm#SEC2324
evaluatePDivisor	sing_2254.htm#SEC2330
evaluate_reynolds	sing_1682.htm#SEC1758
evalutateIntegral	sing_1182.htm#SEC1258
example	sing_288.htm#SEC328
example 	sing_2150.htm#IDX819
example  	sing_2151.htm#IDX821
example   	sing_2152.htm#IDX823
example    	sing_2153.htm#IDX825
example     	sing_2154.htm#IDX827
example      	sing_2155.htm#IDX829
example       	sing_2156.htm#IDX832
execute	sing_289.htm#SEC329
exit	sing_438.htm#SEC478
exp2pt	sing_1885.htm#SEC1961
expo	sing_1909.htm#SEC1985
exponents	sing_2160.htm#IDX840
export	sing_431.htm#SEC471
exportNuminvs	sing_1302.htm#SEC1378
exportto	sing_432.htm#SEC472
expression list	sing_72.htm#IDX128
expression list 	sing_471.htm#IDX293
ext-module	sing_795.htm#IDX362
extcurve	sing_1831.htm#SEC1907
extdevelop	sing_1593.htm#SEC1669
extend	sing_965.htm#SEC1041
extendWeyl	sing_829.htm#SEC881
extendedTensor	sing_761.htm#SEC813
extendring	sing_1036.htm#SEC1112
extension of rings	sing_1355.htm#IDX518
exterior basis	sing_1112.htm#IDX453
exterior power	sing_1114.htm#IDX455
exteriorBasis	sing_1112.htm#SEC1188
exteriorPower	sing_1114.htm#SEC1190
extgcd	sing_290.htm#SEC330
fVector	sing_227.htm#SEC267
fVector 	sing_2432.htm#SEC2508
fVectorP(polymake)	sing_2432.htm#SEC2508
facFirstShift	sing_748.htm#SEC800
facFirstWeyl	sing_744.htm#SEC796
facGBIdeal	sing_1320.htm#SEC1396
facShift	sing_747.htm#SEC799
facSubWeyl	sing_746.htm#SEC798
facWeyl	sing_743.htm#SEC795
facetVertexLatticeDistances	sing_2429.htm#SEC2505
facetWidth	sing_2430.htm#SEC2506
facetWidths	sing_2431.htm#SEC2507
facets	sing_200.htm#SEC240
facstd	sing_291.htm#SEC331
factmodd	sing_292.htm#SEC332
factorH	sing_956.htm#SEC1032
factorLenstraECM	sing_1948.htm#SEC2024
factorMain	sing_1785.htm#SEC1861
factorgroup	sing_2372.htm#SEC2448
factorial	sing_942.htm#SEC1018
factorization	sing_372.htm#SEC412
factorization 	sing_1142.htm#IDX457
factorize	sing_293.htm#SEC333
factory	sing_1.htm#IDX2
fan	sing_221.htm#SEC261
fan 	sing_2044.htm#IDX738
fan related functions	sing_222.htm#SEC262
fanViaCones	sing_225.htm#SEC265
farey	sing_294.htm#SEC334
fareypoly	sing_2257.htm#SEC2333
fastExpt	sing_1893.htm#SEC1969
fastHC, option	sing_364.htm#IDX153
fastelim	sing_1747.htm#SEC1823
fetch	sing_295.htm#SEC335
fetch (plural)	sing_510.htm#SEC550
fetchall	sing_1037.htm#SEC1113
ffmodStd	sing_2261.htm#SEC2337
ffmodstd.lib	sing_2256.htm#SEC2332
ffmodstd_lib	sing_2256.htm#SEC2332
ffsolve	sing_1736.htm#SEC1812
ffsolve.lib	sing_1735.htm#SEC1811
ffsolve_lib	sing_1735.htm#SEC1811
fglm	sing_296.htm#SEC336
fglm 	sing_403.htm#IDX187
fglm_solve	sing_1763.htm#SEC1839
fglmquot	sing_297.htm#SEC337
fibonacci	sing_943.htm#SEC1019
field	sing_139.htm#SEC179
file, .singularrc	sing_20.htm#IDX71
filecmd	sing_298.htm#SEC338
filtration	sing_795.htm#IDX363
finalCharts	sing_1455.htm#SEC1531
find	sing_299.htm#SEC339
findAuto	sing_702.htm#SEC754
findInvo	sing_700.htm#SEC752
findInvoDiag	sing_701.htm#SEC753
findOrientedBoundary	sing_2056.htm#SEC2132
findTorsion	sing_1874.htm#SEC1950
find_first_primitive_root	sing_1952.htm#SEC2028
find_index	sing_1956.htm#SEC2032
findifs.lib	sing_1881.htm#SEC1957
findifs_example	sing_1882.htm#SEC1958
findifs_lib	sing_1881.htm#SEC1957
findimAlgebra	sing_770.htm#SEC822
finduni	sing_300.htm#SEC340
findvars	sing_1748.htm#SEC1824
finite field	sing_139.htm#SEC179
finite field 	sing_1735.htm#IDX711
finiteDiagInvariants	sing_1297.htm#SEC1373
finitediff.lib	sing_2262.htm#IDX880
finitediff_lib	sing_2262.htm#IDX881
finitenessTest	sing_1156.htm#SEC1232
finvar.lib	sing_1670.htm#SEC1746
finvar_lib	sing_1670.htm#SEC1746
first index is 1	sing_465.htm#SEC505
firstoct	sing_1796.htm#SEC1872
fitting	sing_1202.htm#SEC1278
fl2poly	sing_639.htm#SEC691
flatten	sing_1087.htm#SEC1163
flatteningStrat	sing_1203.htm#SEC1279
floating point	sing_1046.htm#IDX439
for	sing_433.htm#SEC473
formaldivisorplus	sing_2249.htm#SEC2325
forward	sing_2268.htm#SEC2344
fourier	sing_634.htm#SEC686
fouriersystem	sing_2279.htm#SEC2355
fpadim.lib	sing_650.htm#SEC702
fpadim_lib	sing_650.htm#SEC702
fprintf	sing_301.htm#SEC341
frandwalk	sing_2404.htm#SEC2480
free	sing_2159.htm#IDX837
free 	sing_2160.htm#IDX839
free associative algebra, tensor algebra	sing_541.htm#SEC593
freeGBasis	sing_685.htm#SEC737
freegb.lib	sing_681.htm#SEC733
freegb_lib	sing_681.htm#SEC733
freemodule	sing_302.htm#SEC342
freerank	sing_994.htm#SEC1070
from_boolean_constant	sing_2117.htm#SEC2193
from_boolean_ideal	sing_2121.htm#SEC2197
from_boolean_poly	sing_2118.htm#SEC2194
from_boolean_set	sing_2122.htm#SEC2198
frwalk	sing_303.htm#SEC343
fullFan	sing_226.htm#SEC266
fullSerreRelations	sing_696.htm#SEC748
furtherInvar	sing_1714.htm#SEC1790
further_hn_proc	sing_1610.htm#SEC1686
fwalk	sing_1189.htm#SEC1265
galois field	sing_139.htm#SEC179
gauss_col	sing_1097.htm#SEC1173
gauss_nf	sing_1128.htm#SEC1204
gauss_row	sing_1098.htm#SEC1174
gaussred	sing_1126.htm#SEC1202
gaussred_pivot	sing_1127.htm#SEC1203
gcd	sing_304.htm#SEC344
gcdMon	sing_1229.htm#SEC1305
gcddivisor	sing_1984.htm#SEC2060
gen	sing_305.htm#SEC345
genMDSMat	sing_1851.htm#SEC1927
genSymId	sing_1374.htm#SEC1450
general error-locator polynomial	sing_921.htm#SEC986
general neron.	sing_2300.htm#IDX888
general weighted lexicographical ordering	sing_896.htm#IDX404
general weighted reverse lexicographical ordering	sing_896.htm#IDX401
general.lib	sing_936.htm#SEC1012
generalOrder	sing_2009.htm#SEC2085
general_lib	sing_936.htm#SEC1012
generateG	sing_1947.htm#SEC2023
generators	sing_1510.htm#IDX573
generatorsOfLinealitySpace	sing_201.htm#SEC241
generatorsOfSpan	sing_202.htm#SEC242
genericid	sing_1012.htm#SEC1088
genericity	sing_1871.htm#SEC1947
genericmat	sing_1088.htm#SEC1164
genoutput	sing_1444.htm#SEC1520
genus	sing_1280.htm#SEC1356
geometric invariant theory	sing_2293.htm#IDX885
geometrical locus, locus, loci, dynamic geometry	sing_968.htm#IDX423
geometrical locus, locus, loci, envelop	sing_969.htm#IDX424
geometrical locus, locus, loci, envelop.	sing_970.htm#IDX425
geometrical locus, locus, loci.	sing_967.htm#IDX422
geometrical locus, locus, loci. 	sing_971.htm#IDX426
getArguments	sing_1078.htm#SEC1154
getCommand	sing_1077.htm#SEC1153
getCone	sing_228.htm#SEC268
getGradingGroup	sing_2347.htm#SEC2423
getLattice	sing_2348.htm#SEC2424
getLinearForms	sing_203.htm#SEC243
getModuleGrading	sing_2358.htm#SEC2434
getMultiplicity	sing_204.htm#SEC244
getOneVar	sing_1288.htm#SEC1364
getResult	sing_1079.htm#SEC1155
getSmallest	sing_1287.htm#SEC1363
getState	sing_1080.htm#SEC1156
getVariableWeights	sing_2346.htm#SEC2422
getcores	sing_1027.htm#SEC1103
getdump	sing_306.htm#SEC346
getenv	sing_406.htm#IDX210
gfanlib	sing_1.htm#IDX9
gfanlib_so	sing_2417.htm#IDX903
gitCone	sing_2295.htm#SEC2371
gitFan	sing_2296.htm#SEC2372
gitfan	sing_2293.htm#IDX883
gitfan.lib	sing_2293.htm#SEC2369
gitfan_lib	sing_2293.htm#SEC2369
gkdim.lib	sing_707.htm#SEC759
gkdim_lib	sing_707.htm#SEC759
gkzFan	sing_2297.htm#SEC2373
global	sing_261.htm#IDX133
global Bernstein-Sato polynomial	sing_554.htm#IDX307
global Bernstein-Sato polynomial 	sing_589.htm#IDX325
global Bernstein-Sato polynomial for variety	sing_645.htm#IDX350
globalSections	sing_2243.htm#SEC2319
gmscoeffs	sing_1568.htm#SEC1644
gmsnf	sing_1567.htm#SEC1643
gmspoly.lib	sing_1587.htm#SEC1663
gmspoly_lib	sing_1587.htm#SEC1663
gmsring	sing_1566.htm#SEC1642
gmssing.lib	sing_1565.htm#SEC1641
gmssing_lib	sing_1565.htm#SEC1641
good basis	sing_1565.htm#IDX601
good basis 	sing_1575.htm#IDX656
good basis  	sing_1587.htm#IDX672
good basis   	sing_1589.htm#IDX683
goodBasis	sing_1589.htm#SEC1665
gorensteinIndex	sing_2433.htm#SEC2509
gorensteinVector	sing_2434.htm#SEC2510
graal.lib	sing_2286.htm#SEC2362
graalMixed	sing_2287.htm#SEC2363
graal_lib	sing_2286.htm#SEC2362
gradeNumber	sing_799.htm#SEC851
graded Weyl algebra	sing_554.htm#IDX310
graded module, graded piece	sing_1491.htm#IDX559
graded modules, graded homomorphisms, syzygies	sing_2302.htm#IDX889
graded modules, handling of	sing_863.htm#SEC915
gradedModules.lib	sing_2302.htm#SEC2378
gradedModules_lib	sing_2302.htm#SEC2378
gradiator	sing_2391.htm#SEC2467
graph	sing_1178.htm#IDX470
graph 	sing_1179.htm#IDX471
graphics.lib	sing_1798.htm#SEC1874
graphics_lib	sing_1798.htm#SEC1874
graphviz	sing_1.htm#IDX13
graver4ti2	sing_1372.htm#SEC1448
grconcat	sing_2325.htm#SEC2401
grdeg	sing_2305.htm#SEC2381
grgens	sing_2314.htm#SEC2390
grgroebner	sing_2324.htm#SEC2400
grlift	sing_2322.htm#SEC2398
grlifting	sing_2329.htm#SEC2405
grlifting2	sing_2330.htm#SEC2406
grlifting3	sing_2332.htm#SEC2408
grneg	sing_2335.htm#SEC2411
grobcov	sing_958.htm#SEC1034
grobcov.lib	sing_957.htm#SEC1033
grobcov_lib	sing_957.htm#SEC1033
grobj	sing_2303.htm#SEC2379
groebner	sing_307.htm#SEC347
groebner 	sing_855.htm#SEC907
groebner basis computations	sing_307.htm#IDX147
groebnerComplex	sing_2424.htm#SEC2500
groebnerCone	sing_2420.htm#SEC2496
groebnerFan	sing_2422.htm#SEC2498
groebnerFanP	sing_2049.htm#SEC2125
gromovWitten	sing_1183.htm#SEC1259
grorder	sing_2316.htm#SEC2392
ground field	sing_139.htm#SEC179
group_reynolds	sing_1678.htm#SEC1754
grpower	sing_2312.htm#SEC2388
grpres	sing_2315.htm#SEC2391
grprod	sing_2323.htm#SEC2399
grrange	sing_2334.htm#SEC2410
grres	sing_2321.htm#SEC2397
grrndmap	sing_2327.htm#SEC2403
grrndmap2	sing_2328.htm#SEC2404
grrndmat	sing_2326.htm#SEC2402
grshift	sing_2307.htm#SEC2383
grsum	sing_2311.htm#SEC2387
grsyz	sing_2320.htm#SEC2396
grtest	sing_2304.htm#SEC2380
grtranspose	sing_2313.htm#SEC2389
grtranspose1	sing_2317.htm#SEC2393
grtwist	sing_2309.htm#SEC2385
grtwists	sing_2310.htm#SEC2386
grview	sing_2306.htm#SEC2382
grwalk.lib	sing_1188.htm#SEC1264
grwalk_lib	sing_1188.htm#SEC1264
grzero	sing_2308.htm#SEC2384
gwalk	sing_1194.htm#SEC1270
hStarVector	sing_2436.htm#SEC2512
hVector	sing_2437.htm#SEC2513
h_increasing_knapsack	sing_1970.htm#SEC2046
hardware platform	sing_406.htm#IDX265
hasAlgExtensionCoefficient	sing_1051.htm#SEC1127
hasCommutativeVars	sing_1047.htm#SEC1123
hasFieldCoefficient	sing_1050.htm#SEC1126
hasGlobalOrdering	sing_1048.htm#SEC1124
hasMixedOrdering	sing_1049.htm#SEC1125
hasNumericCoeffs	sing_1046.htm#SEC1122
hasTransExtensionCoefficient	sing_1052.htm#SEC1128
headStand	sing_1110.htm#SEC1186
heightZ	sing_1349.htm#SEC1425
help	sing_308.htm#SEC348
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_406.htm#IDX193
help, accessing over the net	sing_19.htm#IDX42
help, online help system	sing_16.htm#SEC22
hermiteNormalForm	sing_2392.htm#SEC2468
hess.lib	sing_2337.htm#SEC2413
hess_lib	sing_2337.htm#SEC2413
hessenberg	sing_406.htm#IDX216
hessenberg 	sing_1132.htm#SEC1208
highcorner	sing_309.htm#SEC349
hilb	sing_310.htm#SEC350
hilbPoly	sing_1010.htm#SEC1086
hilbert4ti2	sing_1371.htm#SEC1447
hilbertBasis	sing_2435.htm#SEC2511
hilbertSeries	sing_2394.htm#SEC2470
hilbvec	sing_1749.htm#SEC1825
hnexpansion	sing_1591.htm#SEC1667
hnoether.lib	sing_1590.htm#SEC1666
hnoether_lib	sing_1590.htm#SEC1666
holonomic rank	sing_817.htm#IDX374
holonomicRank	sing_821.htm#SEC873
hom_kernel	sing_1210.htm#SEC1286
homog	sing_311.htm#SEC351
homogeneitySpace	sing_2419.htm#SEC2495
homogfacFirstQWeyl	sing_750.htm#SEC802
homogfacFirstQWeyl_all	sing_752.htm#SEC804
homogfacNthQWeyl	sing_749.htm#SEC801
homogfacNthQWeyl_all	sing_751.htm#SEC803
homolog.lib	sing_1195.htm#SEC1271
homolog_lib	sing_1195.htm#SEC1271
homology	sing_1205.htm#SEC1281
howto, download	sing_2477.htm#SEC2566
howto, install on Macintosh	sing_2480.htm#SEC2569
howto, install on Unix	sing_2478.htm#SEC2567
howto, install on Windows	sing_2479.htm#SEC2568
hres	sing_312.htm#SEC352
html, default help	sing_16.htm#IDX24
hyperel.lib	sing_1977.htm#SEC2053
hyperel_lib	sing_1977.htm#SEC2053
hyperplane	sing_2129.htm#IDX777
hyperplane arrangement	sing_589.htm#IDX331
hypersurface singularity	sing_1617.htm#IDX701
iMult	sing_1283.htm#SEC1359
id2mod	sing_1006.htm#SEC1082
ideal	sing_85.htm#SEC125
ideal declarations	sing_86.htm#SEC126
ideal declarations (plural)	sing_473.htm#SEC513
ideal expressions	sing_87.htm#SEC127
ideal expressions (plural)	sing_474.htm#SEC514
ideal operations	sing_88.htm#SEC128
ideal operations (plural)	sing_475.htm#SEC515
ideal related functions	sing_89.htm#SEC129
ideal related functions (plural)	sing_476.htm#SEC516
ideal, toric	sing_908.htm#SEC965
idealSplit	sing_1756.htm#SEC1832
ideals	sing_466.htm#IDX287
idealsimplify	sing_1518.htm#SEC1594
identifier	sing_467.htm#SEC507
identifyvar	sing_1426.htm#SEC1502
if	sing_434.htm#SEC474
imageLattice	sing_2360.htm#SEC2436
image_of_variety	sing_1706.htm#SEC1782
imap	sing_313.htm#SEC353
imap (plural)	sing_511.htm#SEC551
imapall	sing_1038.htm#SEC1114
impart	sing_314.htm#SEC354
importfrom	sing_435.htm#SEC475
inCenter	sing_578.htm#SEC630
inCentralizer	sing_579.htm#SEC631
inForm	sing_621.htm#SEC673
inSubring	sing_1148.htm#SEC1224
indSet	sing_1255.htm#SEC1331
indepSet	sing_315.htm#SEC355
indexed names	sing_36.htm#IDX82
indexed names 	sing_37.htm#SEC65
inequalities	sing_205.htm#SEC245
infRedTail, option	sing_364.htm#IDX154
info	sing_16.htm#SEC23
iniD	sing_1446.htm#SEC1522
init_debug	sing_1525.htm#SEC1601
initial	sing_2418.htm#SEC2494
initial form	sing_554.htm#IDX312
initial ideal	sing_554.htm#IDX311
initial ideal approach	sing_554.htm#IDX315
initial ideal approach 	sing_645.htm#IDX354
initialForm	sing_2082.htm#SEC2158
initialIdeal	sing_2083.htm#SEC2159
initialIdealW	sing_620.htm#SEC672
initialMalgrange	sing_619.htm#SEC671
injective_knapsack	sing_1971.htm#SEC2047
inout.lib	sing_972.htm#SEC1048
inout_lib	sing_972.htm#SEC1048
input	sing_41.htm#SEC71
insert	sing_121.htm#SEC161
insert 	sing_316.htm#SEC356
insertCone	sing_229.htm#SEC269
insertGenerator	sing_640.htm#SEC692
instructions, Macintosh installation	sing_2480.htm#SEC2569
instructions, Unix installation	sing_2478.htm#SEC2567
instructions, Windows installation	sing_2479.htm#SEC2568
instructions, downloading	sing_2477.htm#SEC2566
int	sing_90.htm#SEC130
int declarations	sing_91.htm#SEC131
int expressions	sing_92.htm#SEC132
int operations	sing_93.htm#SEC133
int related functions	sing_94.htm#SEC134
intInverse	sing_2369.htm#SEC2445
intPart	sing_1925.htm#SEC2001
intRank	sing_2361.htm#SEC2437
intRoot	sing_1926.htm#SEC2002
intRoots	sing_637.htm#SEC689
intStrategy, option	sing_364.htm#IDX155
intclMonIdeal	sing_1295.htm#SEC1371
intclToricRing	sing_1291.htm#SEC1367
integer division	sing_466.htm#IDX282
integer programming	sing_916.htm#SEC973
integral basis	sing_1217.htm#IDX490
integral basis 	sing_1409.htm#IDX544
integral closure	sing_1276.htm#IDX503
integral closure 	sing_1277.htm#IDX506
integral closure  	sing_1278.htm#IDX509
integral closure   	sing_1290.htm#IDX513
integralBasis	sing_1217.htm#SEC1293
integralIdeal	sing_624.htm#SEC676
integralModule	sing_625.htm#SEC677
integralSection	sing_2370.htm#SEC2446
integralbasis.lib	sing_1216.htm#SEC1292
integralbasis_lib	sing_1216.htm#SEC1292
integration of D-module	sing_612.htm#IDX343
interface, Emacs	sing_21.htm#SEC28
interiorLatticePoints	sing_2438.htm#SEC2514
internalfunctions	sing_1526.htm#SEC1602
interpolate	sing_1762.htm#SEC1838
interpolation	sing_317.htm#SEC357
interred	sing_318.htm#SEC358
intersect	sing_319.htm#SEC359
intersect (plural)	sing_512.htm#SEC552
intersectElim, option	sing_364.htm#IDX173
intersectLattices	sing_2366.htm#SEC2442
intersectMon	sing_1232.htm#SEC1308
intersectSyz, option	sing_364.htm#IDX174
intersectZ	sing_1351.htm#SEC1427
intersection	sing_1600.htm#SEC1676
intersection lattice	sing_2165.htm#IDX852
intersection lattice 	sing_2166.htm#IDX853
intersection multiplicity	sing_1511.htm#IDX579
intersection multiplicity 	sing_1600.htm#IDX694
intersectionDiv	sing_1474.htm#SEC1550
intersectionValRingIdeals	sing_1300.htm#SEC1376
intersectionValRings	sing_1299.htm#SEC1375
intmat	sing_97.htm#SEC137
intmat declarations	sing_98.htm#SEC138
intmat expressions	sing_99.htm#SEC139
intmat operations	sing_101.htm#SEC141
intmat related functions	sing_102.htm#SEC142
intmat type cast	sing_100.htm#SEC140
intmat2mons	sing_1315.htm#SEC1391
intprog.lib	sing_1218.htm#SEC1294
intprog_lib	sing_1218.htm#SEC1294
intvec	sing_103.htm#SEC143
intvec declarations	sing_104.htm#SEC144
intvec expressions	sing_105.htm#SEC145
intvec operations	sing_106.htm#SEC146
intvec related functions	sing_107.htm#SEC147
invariant ring minimal generating set matrix group	sing_1675.htm#IDX707
invariant ring minimal generating set permutation group	sing_1676.htm#IDX708
invariantRing	sing_1708.htm#SEC1784
invariant_algebra_perm	sing_1676.htm#SEC1752
invariant_algebra_reynolds	sing_1675.htm#SEC1751
invariant_basis	sing_1683.htm#SEC1759
invariant_basis_reynolds	sing_1684.htm#SEC1760
invariant_ring	sing_1671.htm#SEC1747
invariant_ring_random	sing_1672.htm#SEC1748
invariants	sing_1596.htm#SEC1672
inverse	sing_1116.htm#SEC1192
inverse of a matrix via its LU-decomposition	sing_339.htm#SEC379
inverseFourier	sing_635.htm#SEC687
inverse_B	sing_1117.htm#SEC1193
inverse_L	sing_1118.htm#SEC1194
inverse_modulus	sing_1954.htm#SEC2030
invertBirMap	sing_1410.htm#SEC1486
invertNumberMain	sing_1786.htm#SEC1862
involut.lib	sing_699.htm#SEC751
involut_lib	sing_699.htm#SEC751
involution	sing_704.htm#SEC756
invunit	sing_1619.htm#SEC1695
iostruct	sing_1873.htm#SEC1949
irrRealizationDim	sing_2064.htm#SEC2140
irred_secondary_char0	sing_1697.htm#SEC1773
irred_secondary_no_molien	sing_1700.htm#SEC1776
irreddecMon	sing_1241.htm#SEC1317
irreducible power series	sing_1601.htm#IDX695
irreducible secondary invariant	sing_1697.htm#IDX709
isAface	sing_2298.htm#SEC2374
isAntiEndo	sing_706.htm#SEC758
isBounded	sing_2439.htm#SEC2515
isCI	sing_261.htm#IDX139
isCI 	sing_1166.htm#SEC1242
isCM	sing_261.htm#IDX140
isCM 	sing_1206.htm#SEC1282
isCMcod2	sing_1654.htm#SEC1730
isCanonical	sing_2440.htm#SEC2516
isCartan	sing_580.htm#SEC632
isCentral	sing_777.htm#SEC829
isCommutative	sing_779.htm#SEC831
isCompatible	sing_230.htm#SEC270
isCompressed	sing_2441.htm#SEC2517
isEqualDivisor	sing_2242.htm#SEC2318
isEquising	sing_1563.htm#SEC1639
isFlat	sing_1207.htm#SEC1283
isFsat	sing_630.htm#SEC682
isFullSpace	sing_206.htm#SEC246
isGorenstein	sing_2442.htm#SEC2518
isGradedRingHomomorphism	sing_2355.htm#SEC2431
isGroup	sing_2353.htm#SEC2429
isGroupHomomorphism	sing_2354.htm#SEC2430
isHolonomic	sing_608.htm#SEC660
isHomg	sing_261.htm#IDX135
isHomogeneous	sing_2381.htm#SEC2457
isInt	sing_643.htm#SEC695
isIntegralSurjective	sing_2367.htm#SEC2443
isInvolution	sing_705.htm#SEC757
isLatticeEmpty	sing_2443.htm#SEC2519
isLocalizationRegular	sing_2290.htm#SEC2366
isLocallyFree	sing_1208.htm#SEC1284
isMonomial	sing_1227.htm#SEC1303
isNC	sing_778.htm#SEC830
isNormal	sing_2444.htm#SEC2520
isOnCurve	sing_1938.htm#SEC2014
isOrigin	sing_207.htm#SEC247
isPositive	sing_2378.htm#SEC2454
isPrimitiveSublattice	sing_2368.htm#SEC2444
isPure	sing_231.htm#SEC271
isPureTensor	sing_552.htm#SEC604
isQuotientRing	sing_1053.htm#SEC1129
isRational	sing_611.htm#SEC663
isReflexive	sing_2445.htm#SEC2521
isReg	sing_1209.htm#SEC1285
isSB	sing_261.htm#IDX134
isSimplicial	sing_208.htm#SEC248
isSmooth	sing_2446.htm#SEC2522
isSubModule	sing_1054.htm#SEC1130
isSublattice	sing_2359.htm#SEC2435
isSymmetric	sing_1375.htm#SEC1451
isTame	sing_1588.htm#SEC1664
isTerminal	sing_2447.htm#SEC2523
isTorsionFree	sing_2377.htm#SEC2453
isTwoSidedGB	sing_553.htm#SEC605
isUpperTriangular	sing_758.htm#SEC810
isVar	sing_697.htm#SEC749
isVeryAmple	sing_2448.htm#SEC2524
isWeyl	sing_780.htm#SEC832
isZeroElement	sing_2379.htm#SEC2455
is_NND	sing_1604.htm#SEC1680
is_NP	sing_1264.htm#SEC1340
is_active	sing_1637.htm#SEC1713
is_bijective	sing_1153.htm#SEC1229
is_cenBimodule	sing_813.htm#SEC865
is_cenSubbimodule	sing_814.htm#SEC866
is_ci	sing_1638.htm#SEC1714
is_complex	sing_1089.htm#SEC1165
is_fix_injective	sing_1975.htm#SEC2051
is_h_injective	sing_1974.htm#SEC2050
is_injective	sing_1151.htm#SEC1227
is_irred	sing_1601.htm#SEC1677
is_is	sing_1639.htm#SEC1715
is_nested	sing_1265.htm#SEC1341
is_prime	sing_1955.htm#SEC2031
is_primitive_root	sing_1951.htm#SEC2027
is_pure	sing_805.htm#SEC857
is_reg	sing_1640.htm#SEC1716
is_regs	sing_1641.htm#SEC1717
is_surjective	sing_1152.htm#SEC1228
is_zero	sing_995.htm#SEC1071
isartinianMon	sing_1238.htm#SEC1314
isgenericMon	sing_1239.htm#SEC1315
ishyper	sing_1978.htm#SEC2054
isirreducibleMon	sing_1237.htm#SEC1313
isoncurve	sing_1979.htm#SEC2055
isparam	sing_2042.htm#SEC2118
isprimaryMon	sing_1236.htm#SEC1312
isprimeMon	sing_1235.htm#SEC1311
isuni	sing_2027.htm#SEC2103
iv2lp	sing_675.htm#SEC727
iv2lpList	sing_676.htm#SEC728
iv2lpMat	sing_677.htm#SEC729
ivDHilbert	sing_651.htm#SEC703
ivDHilbertSickle	sing_652.htm#SEC704
ivDimCheck	sing_653.htm#SEC705
ivHilbert	sing_654.htm#SEC706
ivKDim	sing_655.htm#SEC707
ivL2lpI	sing_674.htm#SEC726
ivMis2Base	sing_656.htm#SEC708
ivMis2Dim	sing_657.htm#SEC709
ivOrdMisLex	sing_658.htm#SEC710
ivSickle	sing_659.htm#SEC711
ivSickleDim	sing_661.htm#SEC713
ivSickleHil	sing_660.htm#SEC712
jInvariant	sing_2076.htm#SEC2152
jOft	sing_1910.htm#SEC1986
jacob	sing_320.htm#SEC360
jacoblift	sing_1620.htm#SEC1696
jacobson	sing_1879.htm#SEC1955
jacobson.lib	sing_1877.htm#SEC1953
jacobson_lib	sing_1877.htm#SEC1953
janet	sing_321.htm#SEC361
jet	sing_322.htm#SEC362
jordan	sing_1137.htm#SEC1213
jordanbasis	sing_1138.htm#SEC1214
jordanmatrix	sing_1139.htm#SEC1215
jordannf	sing_1140.htm#SEC1216
jungfib	sing_1459.htm#SEC1535
jungnormal	sing_1458.htm#SEC1534
jungresolve	sing_1457.htm#SEC1533
katsura	sing_993.htm#SEC1069
kbase	sing_323.htm#SEC363
kbase (plural)	sing_513.htm#SEC553
keepring	sing_436.htm#SEC476
kernel	sing_324.htm#SEC364
kernelLattice	sing_2362.htm#SEC2438
kill	sing_325.htm#SEC365
killTask	sing_1068.htm#SEC1144
killall	sing_945.htm#SEC1021
killattrib	sing_326.htm#SEC366
kmemory	sing_944.htm#SEC1020
kohom	sing_1211.htm#SEC1287
kontrahom	sing_1212.htm#SEC1288
koszul	sing_327.htm#SEC367
kskernel.lib	sing_1611.htm#SEC1687
kskernel_lib	sing_1611.htm#SEC1687
l-adic numbers	sing_32.htm#SEC46
laguerre	sing_328.htm#SEC368
laguerre_solve	sing_1758.htm#SEC1834
lastvarGeneral	sing_2008.htm#SEC2084
latex.lib	sing_1802.htm#SEC1878
latex_lib	sing_1802.htm#SEC1878
lattice	sing_2166.htm#IDX855
latticeArea	sing_2058.htm#SEC2134
latticeBasis	sing_2363.htm#SEC2439
latticeCodegree	sing_2449.htm#SEC2525
latticeDegree	sing_2450.htm#SEC2526
latticePoints	sing_2451.htm#SEC2527
latticeVolume	sing_2452.htm#SEC2528
laxfrT	sing_2266.htm#SEC2342
laxfrX	sing_2267.htm#SEC2343
lazy, option	sing_364.htm#IDX156
lcm	sing_996.htm#SEC1072
lcmMon	sing_1230.htm#SEC1306
lcmN	sing_1919.htm#SEC1995
lcmofall	sing_1439.htm#SEC1515
lead	sing_329.htm#SEC369
leadcoef	sing_330.htm#SEC370
leadexp	sing_331.htm#SEC371
leadmonom	sing_332.htm#SEC372
leadmonomial	sing_1994.htm#SEC2070
left annihilator ideal	sing_589.htm#IDX323
leftInverse	sing_1868.htm#SEC1944
leftKernel	sing_1866.htm#SEC1942
length, option	sing_364.htm#IDX157
letplaceGBasis	sing_683.htm#SEC735
letterplace correspondence	sing_543.htm#SEC595
lex_solve	sing_1764.htm#SEC1840
lexicographical ordering	sing_895.htm#IDX384
lib2doc	sing_60.htm#SEC97
libSingular	sing_468.htm#SEC508
libcdd	sing_1.htm#IDX12
libfac	sing_1.htm#IDX6
libparse	sing_69.htm#SEC109
library	sing_2108.htm#IDX755
library 	sing_2293.htm#IDX882
library, info string	sing_55.htm#IDX124
library, polybori.lib	sing_2108.htm#IDX752
library, template	sing_55.htm#SEC92
library, template.lib	sing_55.htm#IDX122
lieBracket	sing_694.htm#SEC746
lift	sing_334.htm#SEC374
lift 	sing_547.htm#IDX299
lift (plural)	sing_514.htm#SEC554
lift_kbase	sing_1557.htm#SEC1633
lift_rel_kb	sing_1558.htm#SEC1634
liftenvelope	sing_550.htm#SEC602
liftstd	sing_335.htm#SEC375
liftstd (plural)	sing_515.htm#SEC555
linReduce	sing_562.htm#SEC614
linReduceIdeal	sing_563.htm#SEC615
linSyzSolve	sing_564.htm#SEC616
linalg.lib	sing_1115.htm#SEC1191
linalg_lib	sing_1115.htm#SEC1191
linealityDimension	sing_209.htm#SEC249
linealitySpace	sing_210.htm#SEC250
linear algebra	sing_262.htm#SEC302
linear algebra 	sing_338.htm#SEC378
linear algebra  	sing_339.htm#SEC379
linear algebra   	sing_340.htm#SEC380
linear code, dual	sing_1837.htm#IDX720
linear code, systematic	sing_1838.htm#IDX721
linear interreduction	sing_554.htm#IDX314
linearCombinations	sing_583.htm#SEC635
linearMapKernel	sing_582.htm#SEC634
linear_relations	sing_1107.htm#SEC1183
linearlyEquivalent	sing_2245.htm#SEC2321
linearpart	sing_1750.htm#SEC1826
link	sing_108.htm#SEC148
link 	sing_852.htm#SEC904
link declarations	sing_109.htm#SEC149
link expressions	sing_110.htm#SEC150
link related functions	sing_111.htm#SEC151
list	sing_118.htm#SEC158
list declarations	sing_119.htm#SEC159
list expressions	sing_120.htm#SEC160
list operations	sing_121.htm#SEC161
list related functions	sing_122.htm#SEC162
listvar	sing_336.htm#SEC376
lll	sing_2395.htm#SEC2471
load	sing_437.htm#SEC477
loadLib, option	sing_364.htm#IDX178
loadProc, option	sing_364.htm#IDX179
locAtZero	sing_1285.htm#SEC1361
locNormal	sing_1221.htm#SEC1297
local methods	sing_1220.htm#IDX493
local methods 	sing_1221.htm#IDX496
local names	sing_46.htm#SEC83
local rings, computing in	sing_847.htm#SEC899
local weighted lexicographical ordering	sing_896.htm#IDX405
local weighted reverse lexicographical ordering	sing_896.htm#IDX402
localInvar	sing_1713.htm#SEC1789
localization	sing_847.htm#SEC899
localization 	sing_2146.htm#IDX815
localization of D-module	sing_612.htm#IDX339
localization of D-module 	sing_817.htm#IDX377
locally closed set, constructible set	sing_966.htm#IDX421
localstd	sing_2004.htm#SEC2080
locnormal.lib	sing_1220.htm#SEC1296
locnormal_lib	sing_1220.htm#SEC1296
locstd	sing_1642.htm#SEC1718
locus	sing_967.htm#SEC1043
locusdg	sing_968.htm#SEC1044
locusto	sing_971.htm#SEC1047
log2	sing_1894.htm#SEC1970
logarithmic annihilator ideal	sing_589.htm#IDX328
lowerHomogeneitySpace	sing_2423.htm#SEC2499
lp, global ordering	sing_895.htm#IDX383
lp2iv	sing_678.htm#SEC730
lp2ivId	sing_679.htm#SEC731
lp2lstr	sing_690.htm#SEC742
lpDHilbert	sing_662.htm#SEC714
lpDHilbertSickle	sing_663.htm#SEC715
lpDimCheck	sing_665.htm#SEC717
lpHilbert	sing_664.htm#SEC716
lpId2ivLi	sing_680.htm#SEC732
lpKDim	sing_666.htm#SEC718
lpMis2Base	sing_667.htm#SEC719
lpMis2Dim	sing_668.htm#SEC720
lpMult	sing_687.htm#SEC739
lpNF	sing_684.htm#SEC736
lpOrdMisLex	sing_669.htm#SEC721
lpPower	sing_689.htm#SEC741
lpSickle	sing_670.htm#SEC722
lpSickleDim	sing_672.htm#SEC724
lpSickleHil	sing_671.htm#SEC723
lprint	sing_974.htm#SEC1050
lres	sing_337.htm#SEC377
ls, local ordering	sing_896.htm#IDX396
lst2str	sing_691.htm#SEC743
lsum	sing_1187.htm#SEC1263
ludecomp	sing_338.htm#SEC378
luinverse	sing_339.htm#SEC379
lusolve	sing_340.htm#SEC380
m_merkle_hellman_decryption	sing_1966.htm#SEC2042
m_merkle_hellman_encryption	sing_1965.htm#SEC2041
m_merkle_hellman_transformation	sing_1964.htm#SEC2040
magnitude	sing_1888.htm#SEC1964
makeDivisor	sing_2237.htm#SEC2313
makeFormalDivisor	sing_2247.htm#SEC2323
makeGraph	sing_1178.htm#SEC1254
makeHeisenberg	sing_768.htm#SEC820
makeLetterplaceRing	sing_682.htm#SEC734
makeMalgrange	sing_649.htm#SEC701
makeModElimRing	sing_785.htm#SEC837
makePDivisor	sing_2253.htm#SEC2329
makeQsl2	sing_732.htm#SEC784
makeQsl3	sing_733.htm#SEC785
makeQso3	sing_731.htm#SEC783
makeUe6	sing_728.htm#SEC780
makeUe7	sing_729.htm#SEC781
makeUe8	sing_730.htm#SEC782
makeUf4	sing_727.htm#SEC779
makeUg2	sing_726.htm#SEC778
makeUgl	sing_712.htm#SEC764
makeUsl	sing_711.htm#SEC763
makeUsl2	sing_710.htm#SEC762
makeUso10	sing_718.htm#SEC770
makeUso11	sing_719.htm#SEC771
makeUso12	sing_720.htm#SEC772
makeUso5	sing_713.htm#SEC765
makeUso6	sing_714.htm#SEC766
makeUso7	sing_715.htm#SEC767
makeUso8	sing_716.htm#SEC768
makeUso9	sing_717.htm#SEC769
makeUsp1	sing_721.htm#SEC773
makeUsp2	sing_722.htm#SEC774
makeUsp3	sing_723.htm#SEC775
makeUsp4	sing_724.htm#SEC776
makeUsp5	sing_725.htm#SEC777
makeWeyl	sing_767.htm#SEC819
map	sing_123.htm#SEC163
map (plural)	sing_477.htm#SEC517
map declarations	sing_124.htm#SEC164
map declarations (plural)	sing_478.htm#SEC518
map expressions	sing_125.htm#SEC165
map expressions (plural)	sing_479.htm#SEC519
map operations	sing_126.htm#IDX129
map operations (plural)	sing_480.htm#IDX294
map related functions	sing_127.htm#IDX131
map related functions  (plural)	sing_481.htm#IDX295
mapIsFinite	sing_1155.htm#SEC1231
mapToRatNormCurve	sing_1414.htm#SEC1490
mapall	sing_1039.htm#SEC1115
mappingcone	sing_2331.htm#SEC2407
mappingcone3	sing_2333.htm#SEC2409
markov4ti2	sing_1370.htm#SEC1446
mat2arr	sing_2131.htm#SEC2207
mat2carr	sing_2132.htm#SEC2208
mat_rk	sing_1129.htm#SEC1205
matbil	sing_2015.htm#SEC2091
mathematical objects	sing_891.htm#SEC943
mathinit	sing_1800.htm#SEC1876
matmult	sing_2016.htm#SEC2092
matrix	sing_128.htm#SEC168
matrix 	sing_2131.htm#IDX783
matrix  	sing_2132.htm#IDX786
matrix   	sing_2133.htm#IDX790
matrix declarations	sing_129.htm#SEC169
matrix diagonalization	sing_1877.htm#IDX731
matrix expressions	sing_130.htm#SEC170
matrix operations	sing_132.htm#SEC172
matrix related functions	sing_133.htm#SEC173
matrix type cast	sing_131.htm#SEC171
matrix.lib	sing_1082.htm#SEC1158
matrixExp	sing_1404.htm#SEC1480
matrixLog	sing_1405.htm#SEC1481
matrixT1	sing_1656.htm#SEC1732
matrix_lib	sing_1082.htm#SEC1158
matrixpres	sing_2336.htm#SEC2412
matrixsystem	sing_2277.htm#SEC2353
max	sing_341.htm#SEC381
maxEord	sing_1429.htm#SEC1505
maxExp	sing_261.htm#IDX136
maxIntRoot	sing_834.htm#SEC886
maxZeros	sing_1407.htm#SEC1483
maxabs	sing_2034.htm#SEC2110
maxcoef	sing_997.htm#SEC1073
maxdeg	sing_998.htm#SEC1074
maxdeg1	sing_999.htm#SEC1075
maxideal	sing_342.htm#SEC382
maximalFace	sing_2453.htm#SEC2529
maximalGroebnerCone	sing_2421.htm#SEC2497
maximalValue	sing_2454.htm#SEC2530
maximum	sing_1907.htm#SEC1983
maximum number of zeroes	sing_1407.htm#IDX538
mdouble	sing_56.htm#SEC93
mem, option	sing_364.htm#IDX180
membershipMon	sing_1231.htm#SEC1307
memory	sing_343.htm#SEC383
memory managment	sing_343.htm#SEC383
merkle_hellman_decryption	sing_1968.htm#SEC2044
merkle_hellman_encryption	sing_1967.htm#SEC2043
midpoint	sing_2273.htm#SEC2349
milnor	sing_1643.htm#SEC1719
milnorcode	sing_1527.htm#SEC1603
milnornumber	sing_2411.htm#SEC2487
min	sing_344.htm#SEC384
minAssChar	sing_1329.htm#SEC1405
minAssCharE	sing_1330.htm#SEC1406
minAssGTZ	sing_1327.htm#SEC1403
minAssGTZE	sing_1328.htm#SEC1404
minAssZ	sing_1347.htm#SEC1423
minEcart	sing_1997.htm#SEC2073
minIntRoot	sing_610.htm#SEC662
minIntRoot2	sing_833.htm#SEC885
minMult	sing_1162.htm#SEC1238
minbase	sing_345.htm#SEC385
minbaseMon	sing_1228.htm#SEC1304
mindeg	sing_1000.htm#SEC1076
mindeg1	sing_1001.htm#SEC1077
mindist	sing_1852.htm#SEC1928
minimal display time, setting the	sing_406.htm#IDX278
minimalFace	sing_2455.htm#SEC2531
minimalValue	sing_2456.htm#SEC2532
minipoly	sing_1134.htm#SEC1210
minkowskiSum	sing_2457.htm#SEC2533
minor	sing_346.htm#SEC386
minpoly	sing_445.htm#SEC485
minres	sing_347.htm#SEC387
minres (plural)	sing_516.htm#SEC556
mirror symmetry	sing_1177.htm#IDX463
mixed Hodge structure	sing_1565.htm#IDX594
mixed Hodge structure 	sing_1571.htm#IDX622
mixed Hodge structure  	sing_1572.htm#IDX628
mixed Hodge structure   	sing_1573.htm#IDX636
mixed Hodge structure    	sing_1574.htm#IDX642
mixed Hodge structure     	sing_1575.htm#IDX650
mixed Hodge structure      	sing_1576.htm#IDX660
mixed Hodge structure       	sing_1587.htm#IDX666
mixed Hodge structure        	sing_1589.htm#IDX677
mod	sing_76.htm#SEC116
mod 	sing_93.htm#SEC133
mod  	sing_142.htm#SEC182
mod2id	sing_1005.htm#SEC1081
mod2str	sing_692.htm#SEC744
modDec	sing_1247.htm#SEC1323
modNPos	sing_1270.htm#SEC1346
modNormal	sing_1223.htm#SEC1299
modNpos_test	sing_1268.htm#SEC1344
modStd	sing_1225.htm#SEC1301
modWalk	sing_2340.htm#SEC2416
mod_versal	sing_1556.htm#SEC1632
modality	sing_1535.htm#SEC1611
modfWalk	sing_2342.htm#SEC2418
modfrWalk	sing_2343.htm#SEC2419
modnormal.lib	sing_1222.htm#SEC1298
modnormal_lib	sing_1222.htm#SEC1298
modrWalk	sing_2341.htm#SEC2417
modregCM	sing_1274.htm#SEC1350
modsatiety	sing_1272.htm#SEC1348
modstd.lib	sing_1224.htm#SEC1300
modstd_lib	sing_1224.htm#SEC1300
modular	sing_983.htm#SEC1059
modular methods	sing_1220.htm#IDX494
modular methods 	sing_1222.htm#IDX499
modular methods.	sing_1221.htm#IDX497
modular techniques.	sing_1223.htm#IDX501
modular.lib	sing_982.htm#SEC1058
modular_lib	sing_982.htm#SEC1058
modular_lib 	sing_982.htm#IDX427
module	sing_134.htm#SEC174
module (plural)	sing_482.htm#SEC522
module declarations	sing_135.htm#SEC175
module declarations (plural)	sing_483.htm#SEC523
module expressions	sing_136.htm#SEC176
module expressions (plural)	sing_484.htm#SEC524
module operations	sing_137.htm#SEC177
module operations (plural)	sing_485.htm#SEC525
module ordering C	sing_897.htm#IDX408
module ordering c	sing_897.htm#IDX410
module related functions	sing_138.htm#SEC178
module related functions (plural)	sing_486.htm#SEC526
module_containment	sing_1147.htm#SEC1223
modulo	sing_348.htm#SEC388
modulo (plural)	sing_517.htm#SEC557
moduloSlim	sing_775.htm#SEC827
modwalk.lib	sing_2339.htm#IDX890
modwalk_lib	sing_2339.htm#IDX891
moebius	sing_2167.htm#SEC2243
moebius function	sing_2167.htm#IDX856
molien	sing_1679.htm#SEC1755
mondromy.lib	sing_1617.htm#SEC1693
mondromy_lib	sing_1617.htm#SEC1693
monitor	sing_349.htm#SEC389
monodromy	sing_1565.htm#IDX598
monodromy 	sing_1570.htm#SEC1646
monodromy  	sing_1570.htm#IDX618
monodromy   	sing_1575.htm#IDX653
monodromy    	sing_1587.htm#IDX669
monodromy     	sing_1589.htm#IDX680
monodromyB	sing_1621.htm#SEC1697
monomial	sing_350.htm#SEC390
monomial ordering	sing_1048.htm#IDX441
monomial orderings	sing_847.htm#SEC899
monomial orderings 	sing_894.htm#SEC946
monomial orderings introduction	sing_893.htm#SEC945
monomialInIdeal	sing_831.htm#SEC883
monomialLcm	sing_1995.htm#SEC2071
monomialideal.lib	sing_1226.htm#SEC1302
monomialideal_lib	sing_1226.htm#SEC1302
monomials and precedence	sing_466.htm#IDX284
mons2intmat	sing_1314.htm#SEC1390
morsesplit	sing_1528.htm#SEC1604
mp_res_mat	sing_1761.htm#SEC1837
mplot	sing_1801.htm#SEC1877
mpresmat	sing_351.htm#SEC391
mprimdec.lib	sing_1243.htm#SEC1319
mprimdec_lib	sing_1243.htm#SEC1319
mregular.lib	sing_1258.htm#SEC1334
mregular_lib	sing_1258.htm#SEC1334
mres	sing_352.htm#SEC392
mres (plural)	sing_518.htm#SEC558
mstd	sing_353.htm#SEC393
msum	sing_58.htm#SEC95
mtriple	sing_57.htm#SEC94
mult	sing_354.htm#SEC394
mult 	sing_466.htm#IDX285
multBound	sing_446.htm#SEC486
multRat	sing_839.htm#SEC891
multarr2arr	sing_2162.htm#SEC2238
multarrMultRestrict	sing_2164.htm#SEC2240
multarrRestrict	sing_2163.htm#SEC2239
multcol	sing_1101.htm#SEC1177
multdivisor	sing_2239.htm#SEC2315
multformaldivisor	sing_2251.htm#SEC2327
multi	sing_1982.htm#SEC2058
multi indices	sing_37.htm#SEC65
multiDeg	sing_2374.htm#SEC2450
multiDegBasis	sing_2375.htm#SEC2451
multiDegGroebner	sing_2383.htm#SEC2459
multiDegModulo	sing_2385.htm#SEC2461
multiDegPartition	sing_2376.htm#SEC2452
multiDegResolution	sing_2386.htm#SEC2462
multiDegSyzygy	sing_2384.htm#SEC2460
multiDegTensor	sing_2387.htm#SEC2463
multiDegTor	sing_2388.htm#SEC2464
multiarrangement	sing_2158.htm#IDX836
multiarrangement 	sing_2159.htm#IDX838
multiarrangement  	sing_2160.htm#IDX841
multiarrangement   	sing_2161.htm#IDX842
multiarrangement    	sing_2162.htm#IDX845
multiarrangement     	sing_2163.htm#IDX848
multiarrangement      	sing_2164.htm#IDX850
multidimensional_knapsack	sing_1960.htm#SEC2036
multigrading, multidegree, multiweights, multigraded-homogeneous, integral linear algebra	sing_2344.htm#IDX894
multigrading.lib	sing_2344.htm#IDX892
multigrading_lib	sing_2344.htm#IDX893
multiplicities, sequence of	sing_1596.htm#IDX692
multiplicity sequence	sing_1509.htm#IDX571
multiplicity sequence 	sing_1512.htm#IDX583
multiplicity sequence  	sing_1598.htm#IDX693
multiplylist	sing_1449.htm#SEC1525
multivariate equations	sing_1735.htm#IDX710
multrow	sing_1102.htm#SEC1178
multseq2charexp	sing_1508.htm#SEC1584
multsequence	sing_1598.htm#SEC1674
nBoundaryLatticePoints	sing_2458.htm#SEC2534
nHilbertBasis	sing_2459.htm#SEC2535
nInteriorLatticePoints	sing_2460.htm#SEC2536
nLatticePoints	sing_2461.htm#SEC2537
naccache_stern_decryption	sing_1963.htm#SEC2039
naccache_stern_encryption	sing_1962.htm#SEC2038
naccache_stern_generation	sing_1961.htm#SEC2037
nameof	sing_355.htm#SEC395
names	sing_356.htm#SEC396
nashmult	sing_1516.htm#SEC1592
nblocks	sing_406.htm#IDX220
ncExt_R	sing_808.htm#SEC860
ncHom	sing_809.htm#SEC861
ncRelations	sing_776.htm#SEC828
nc_algebra	sing_519.htm#SEC559
ncalg.lib	sing_709.htm#SEC761
ncalg_lib	sing_709.htm#SEC761
ncalgebra	sing_520.htm#SEC560
ncdecomp.lib	sing_736.htm#SEC788
ncdecomp_lib	sing_736.htm#SEC788
ncdetection	sing_703.htm#SEC755
ncfactor	sing_742.htm#SEC794
ncfactor.lib	sing_741.htm#SEC793
ncfactor_lib	sing_741.htm#SEC793
nchomolog.lib	sing_807.htm#IDX367
nchomolog_lib	sing_807.htm#IDX368
ncols	sing_357.htm#SEC397
ncones	sing_233.htm#SEC273
ncpreim.lib	sing_754.htm#SEC806
ncpreim_lib	sing_754.htm#SEC806
nctools.lib	sing_762.htm#SEC814
nctools_lib	sing_762.htm#SEC814
ndcond	sing_765.htm#SEC817
negatedCone	sing_211.htm#SEC251
negative degree lexicographical ordering	sing_896.htm#IDX399
negative degree reverse lexicographical ordering	sing_896.htm#IDX397
negative lexicographical ordering	sing_896.htm#IDX395
negativedivisor	sing_2240.htm#SEC2316
negativeformaldivisor	sing_2250.htm#SEC2326
net access	sing_19.htm#IDX40
newTest	sing_1902.htm#SEC1978
newline	sing_166.htm#SEC206
news	sing_2470.htm#SEC2546
newstruct	sing_177.htm#SEC217
newstruct 	sing_2108.htm#IDX757
newtonDiag	sing_1009.htm#SEC1085
newtonPolytope	sing_241.htm#SEC281
newtonPolytopeLP	sing_2047.htm#SEC2123
newtonPolytopeP	sing_2046.htm#SEC2122
newtonpoly	sing_1603.htm#SEC1679
nf_icis	sing_1644.htm#SEC1720
nfmodStd	sing_2398.htm#SEC2474
nfmodSyz	sing_2400.htm#SEC2476
nfmodstd.lib	sing_2396.htm#SEC2472
nfmodstd_lib	sing_2396.htm#SEC2472
nfmodsyz.lib	sing_2399.htm#SEC2475
nfmodsyz_lib	sing_2399.htm#SEC2475
nilpotent Lie algebras	sing_1402.htm#IDX523
nmaxcones	sing_232.htm#SEC272
noether	sing_447.htm#SEC487
noether.lib	sing_1266.htm#SEC1342
noetherNormal	sing_1154.htm#SEC1230
noether_lib	sing_1266.htm#SEC1342
non-english special characters	sing_455.htm#IDX280
nonMonomials	sing_1318.htm#SEC1394
nonZeroEntry	sing_1157.htm#SEC1233
none, option	sing_364.htm#IDX150
norTest	sing_1286.htm#SEC1362
norm	sing_1981.htm#SEC2057
normal	sing_1276.htm#SEC1352
normal.lib	sing_1275.htm#SEC1351
normalC	sing_1278.htm#SEC1354
normalFan	sing_2462.htm#SEC2538
normalFanL	sing_2048.htm#SEC2124
normalForm	sing_2241.htm#SEC2317
normalI	sing_1362.htm#SEC1438
normalP	sing_1277.htm#SEC1353
normalToricRing	sing_1292.htm#SEC1368
normalToricRingFromBinomials	sing_1293.htm#SEC1369
normal_lib	sing_1275.htm#SEC1351
normalform	sing_1532.htm#SEC1608
normaliz	sing_1.htm#IDX14
normaliz 	sing_1305.htm#SEC1381
normaliz.lib	sing_1290.htm#SEC1366
normaliz_lib	sing_1290.htm#SEC1366
normalization	sing_1220.htm#IDX492
normalization 	sing_1221.htm#IDX495
normalization  	sing_1222.htm#IDX498
normalization   	sing_1223.htm#IDX500
normalization    	sing_1276.htm#IDX502
normalization     	sing_1277.htm#IDX505
normalization      	sing_1278.htm#IDX508
normalization       	sing_1290.htm#IDX514
normalization.	sing_1217.htm#IDX491
normalization. 	sing_1409.htm#IDX545
normalize	sing_1002.htm#SEC1078
not	sing_96.htm#SEC136
notBuckets, option	sing_364.htm#IDX160
notRegularity, option	sing_364.htm#IDX158
notSugar, option	sing_364.htm#IDX159
notWarnSB, option	sing_364.htm#IDX181
npar	sing_1887.htm#SEC1963
npars	sing_358.htm#SEC398
nrRootsDeterm	sing_2012.htm#SEC2088
nrRootsProbab	sing_2011.htm#SEC2087
nres	sing_359.htm#SEC399
nres (plural)	sing_521.htm#SEC561
nrows	sing_360.htm#SEC400
nrroots	sing_2041.htm#SEC2117
nsatiety	sing_1271.htm#SEC1347
nselect	sing_1173.htm#SEC1249
nt_solve	sing_1776.htm#SEC1852
ntsolve.lib	sing_1775.htm#SEC1851
ntsolve_lib	sing_1775.htm#SEC1851
number	sing_139.htm#SEC179
number 	sing_2135.htm#IDX796
number declarations	sing_140.htm#SEC180
number expressions	sing_141.htm#SEC181
number operations	sing_142.htm#SEC182
number related functions	sing_143.htm#SEC183
numberOfConesOfDimension	sing_234.htm#SEC274
number_e	sing_946.htm#SEC1022
number_pi	sing_947.htm#SEC1023
numerAlg.lib	sing_1384.htm#IDX519
numerAlg_lib	sing_1384.htm#IDX520
numerDecom.lib	sing_1389.htm#IDX521
numerDecom_lib	sing_1389.htm#IDX522
numerator	sing_361.htm#SEC401
nvars	sing_362.htm#SEC402
oneDimBelongSemigroup	sing_1164.htm#SEC1240
online help	sing_16.htm#SEC22
open	sing_363.htm#SEC403
opentex	sing_1804.htm#SEC1880
operatorBM	sing_596.htm#SEC648
operatorModulo	sing_597.htm#SEC649
oppose	sing_522.htm#SEC562
opposite	sing_523.htm#SEC563
opposite polynomial	sing_406.htm#IDX227
opposite ring	sing_406.htm#IDX224
option	sing_364.htm#SEC404
option(warn)	sing_70.htm#SEC110
optionIsSet	sing_1045.htm#SEC1121
or	sing_96.htm#SEC136
or 	sing_459.htm#SEC499
orbit	sing_1402.htm#IDX525
orbit 	sing_1403.htm#IDX529
orbit  	sing_1406.htm#IDX534
orbit   	sing_1407.htm#IDX537
orbitCones	sing_2299.htm#SEC2375
orbit_variety	sing_1703.htm#SEC1779
orbitparam.lib	sing_1402.htm#SEC1478
orbitparam_lib	sing_1402.htm#SEC1478
ord	sing_365.htm#SEC405
ord_test	sing_1040.htm#SEC1116
orderings	sing_894.htm#SEC946
orderings introduction	sing_893.htm#SEC945
orderings, M	sing_898.htm#SEC950
orderings, a	sing_900.htm#SEC952
orderings, global	sing_895.htm#SEC947
orderings, local	sing_896.htm#SEC948
orderings, product	sing_899.htm#SEC951
ordstr	sing_366.htm#SEC406
orthogonalize	sing_1120.htm#SEC1196
outer	sing_1090.htm#SEC1166
output	sing_41.htm#SEC71
p-adic numbers	sing_32.htm#SEC46
pFactor	sing_1936.htm#SEC2012
pIntersect	sing_560.htm#SEC612
pIntersectSyz	sing_561.htm#SEC613
package	sing_144.htm#SEC184
package declarations	sing_145.htm#SEC185
package related functions	sing_146.htm#SEC186
pairset	sing_2001.htm#SEC2077
par	sing_367.htm#SEC407
par2varRing	sing_930.htm#SEC1006
paraConic	sing_1417.htm#SEC1493
paraPlaneCurve	sing_1411.htm#SEC1487
parallel skeletons	sing_984.htm#IDX433
parallel.lib	sing_984.htm#SEC1060
parallelTestAND	sing_988.htm#SEC1064
parallelTestOR	sing_989.htm#SEC1065
parallelWaitAll	sing_987.htm#SEC1063
parallelWaitFirst	sing_986.htm#SEC1062
parallelWaitN	sing_985.htm#SEC1061
parallel_lib	sing_984.htm#SEC1060
parallelization	sing_984.htm#IDX432
parallelization 	sing_1024.htm#IDX435
parallelization  	sing_1066.htm#IDX449
param	sing_1594.htm#SEC1670
parameter, as numbers	sing_139.htm#SEC179
parameterSubstitute	sing_2098.htm#SEC2174
parametric annihilator	sing_589.htm#IDX329
parametric annihilator for variety	sing_645.htm#IDX352
parametrization	sing_1402.htm#IDX526
parametrization 	sing_1406.htm#IDX535
parametrization  	sing_1594.htm#IDX687
parametrizeOrbit	sing_1406.htm#SEC1482
paraplanecurves.lib	sing_1408.htm#SEC1484
paraplanecurves_lib	sing_1408.htm#SEC1484
pardeg	sing_368.htm#SEC408
parstr	sing_369.htm#SEC409
part	sing_2227.htm#SEC2303
partOver	sing_2230.htm#SEC2306
partUnder	sing_2231.htm#SEC2307
partial_molien	sing_1681.htm#SEC1757
partitions	sing_1185.htm#SEC1261
partitions 	sing_1185.htm#IDX482
path integral	sing_1177.htm#IDX469
pause	sing_981.htm#SEC1057
pdivi	sing_960.htm#SEC1036
pdivisorplus	sing_2255.htm#SEC2331
permcol	sing_1103.htm#SEC1179
permrow	sing_1104.htm#SEC1180
permutations	sing_1186.htm#IDX483
permute	sing_1186.htm#SEC1262
permute_L	sing_1839.htm#SEC1915
perron	sing_788.htm#SEC840
perron.lib	sing_787.htm#SEC839
perron_lib	sing_787.htm#SEC839
phindex.lib	sing_2103.htm#IDX748
phindex_lib	sing_2103.htm#IDX749
picksFormula	sing_2059.htm#SEC2135
pid	sing_406.htm#IDX236
plainInvariants	sing_1553.htm#SEC1629
plot	sing_1817.htm#SEC1893
plotRot	sing_1821.htm#SEC1897
plotRotated	sing_1820.htm#SEC1896
plotRotatedDirect	sing_1823.htm#SEC1899
plotRotatedList	sing_1822.htm#SEC1898
plotRotatedListFromSpecifyList	sing_1824.htm#SEC1900
plural	sing_1047.htm#IDX440
pmat	sing_975.htm#SEC1051
pnormalf	sing_961.htm#SEC1037
pointid.lib	sing_1317.htm#SEC1393
pointid_lib	sing_1317.htm#SEC1393
polSol	sing_823.htm#SEC875
polSolFiniteRank	sing_824.htm#SEC876
pollTask	sing_1076.htm#SEC1152
poly	sing_147.htm#SEC187
poly (plural)	sing_487.htm#SEC527
poly declarations	sing_148.htm#SEC188
poly declarations (plural)	sing_488.htm#SEC528
poly expressions	sing_149.htm#SEC189
poly expressions (plural)	sing_489.htm#SEC529
poly operations	sing_150.htm#SEC190
poly operations (plural)	sing_490.htm#SEC530
poly related functions	sing_151.htm#SEC191
poly related functions (plural)	sing_491.htm#SEC531
poly.lib	sing_990.htm#SEC1066
poly2list	sing_638.htm#SEC690
poly2zdd	sing_2124.htm#SEC2200
polyInterpolation	sing_2258.htm#SEC2334
polyVars	sing_830.htm#SEC882
poly_lib	sing_990.htm#SEC1066
polybori	sing_2108.htm#IDX753
polybori.lib	sing_2108.htm#IDX750
polybori.lib 	sing_2108.htm#IDX754
polybori_lib	sing_2108.htm#IDX751
polymake	sing_2044.htm#IDX741
polymake.lib	sing_2044.htm#SEC2120
polymakePolytope	sing_2045.htm#SEC2121
polymake_lib	sing_2044.htm#SEC2120
polymake_so	sing_2426.htm#IDX904
polynomial solutions	sing_817.htm#IDX380
polynomial, opposite	sing_406.htm#IDX228
polytope	sing_236.htm#SEC276
polytope 	sing_2044.htm#IDX737
polytope related functions	sing_239.htm#SEC279
polytopeViaInequalities	sing_238.htm#SEC278
polytopeViaPoints	sing_237.htm#SEC277
pos_def	sing_1131.htm#SEC1207
poset	sing_2166.htm#IDX854
posweight	sing_1661.htm#SEC1737
powSumSym	sing_2184.htm#SEC2260
power	sing_1091.htm#SEC1167
powerN	sing_1920.htm#SEC1996
powerX	sing_1929.htm#SEC2005
power_products	sing_1695.htm#SEC1771
powerpolyX	sing_1899.htm#SEC1975
powersums	sing_2022.htm#SEC2098
preComp	sing_1254.htm#SEC1330
preimage	sing_370.htm#SEC410
preimage 	sing_754.htm#IDX355
preimage (plural)	sing_524.htm#SEC564
preimage under a map between local rings, map between local rings, map between local and global rings	sing_1043.htm#IDX438
preimageLattice	sing_2364.htm#SEC2440
preimageLoc	sing_1043.htm#SEC1119
preimageNC	sing_756.htm#SEC808
prepEmbDiv	sing_1479.htm#SEC1555
prepMat	sing_1732.htm#SEC1808
prepRealclassify	sing_1537.htm#SEC1613
prepSV	sing_1834.htm#SEC1910
prepareAss	sing_1336.htm#SEC1412
presentTree	sing_1466.htm#SEC1542
presolve.lib	sing_1742.htm#SEC1818
presolve_lib	sing_1742.htm#SEC1818
primL	sing_1924.htm#SEC2000
primList	sing_1923.htm#SEC1999
primRoot	sing_1376.htm#SEC1452
primTest	sing_1253.htm#SEC1329
primary_char0	sing_1685.htm#SEC1761
primary_char0_no_molien	sing_1687.htm#SEC1763
primary_char0_no_molien_random	sing_1692.htm#SEC1768
primary_char0_random	sing_1690.htm#SEC1766
primary_charp	sing_1686.htm#SEC1762
primary_charp_no_molien	sing_1688.htm#SEC1764
primary_charp_no_molien_random	sing_1693.htm#SEC1769
primary_charp_random	sing_1691.htm#SEC1767
primary_charp_without	sing_1689.htm#SEC1765
primary_charp_without_random	sing_1694.htm#SEC1770
primary_invariants	sing_1673.htm#SEC1749
primary_invariants_random	sing_1674.htm#SEC1750
primdec.lib	sing_1321.htm#SEC1397
primdecGTZ	sing_1323.htm#SEC1399
primdecGTZE	sing_1324.htm#SEC1400
primdecMon	sing_1242.htm#SEC1318
primdecSY	sing_1325.htm#SEC1401
primdecSYE	sing_1326.htm#SEC1402
primdecZ	sing_1345.htm#SEC1421
primdecZM	sing_1346.htm#SEC1422
primdec_lib	sing_1321.htm#SEC1397
primdecint.lib	sing_1344.htm#SEC1420
primdecint_lib	sing_1344.htm#SEC1420
prime	sing_371.htm#SEC411
primeClosure	sing_1281.htm#SEC1357
primecoeffs	sing_953.htm#SEC1029
primefactors	sing_372.htm#SEC412
primes	sing_948.htm#SEC1024
primitiv.lib	sing_1352.htm#SEC1428
primitiv_lib	sing_1352.htm#SEC1428
primitive	sing_1353.htm#SEC1429
primitive element	sing_1353.htm#IDX516
primitiveSpan	sing_2371.htm#SEC2447
primitive_extra	sing_1354.htm#SEC1430
primparam	sing_1548.htm#SEC1624
principal intersection	sing_554.htm#IDX313
print	sing_373.htm#SEC413
print 	sing_2133.htm#IDX789
printGraph	sing_1179.htm#SEC1255
printGroup	sing_2352.htm#SEC2428
printMoebius	sing_2172.htm#SEC2248
printTask	sing_1071.htm#SEC1147
printf	sing_374.htm#SEC414
printlevel	sing_448.htm#SEC488
proc	sing_152.htm#SEC192
proc declaration	sing_153.htm#SEC193
proc expression	sing_154.htm#SEC194
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_155.htm#SEC195
prodcrit	sing_1999.htm#SEC2075
product	sing_949.htm#SEC1025
productgroup	sing_2373.htm#SEC2449
progress watch	sing_364.htm#IDX163
projectLattice	sing_2365.htm#SEC2441
projective dimension	sing_795.htm#IDX364
projective limes	sing_32.htm#SEC46
projectiveDimension	sing_796.htm#SEC848
prompt	sing_15.htm#SEC21
prompt, option	sing_364.htm#IDX182
propagator	sing_1177.htm#IDX467
propagator 	sing_1180.htm#SEC1256
prot, option	sing_364.htm#IDX161
protocol of computations	sing_364.htm#IDX162
proximitymatrix	sing_1507.htm#SEC1583
prune	sing_375.htm#SEC415
prwalk	sing_2402.htm#SEC2478
psigncnd	sing_1795.htm#SEC1871
puiseux2generators	sing_1606.htm#SEC1682
puiseuxExpansion	sing_2069.htm#SEC2145
pure tensor	sing_547.htm#IDX301
purelist	sing_806.htm#SEC858
purity	sing_795.htm#IDX366
purityFiltration	sing_797.htm#SEC849
purityTriang	sing_798.htm#SEC850
purityfiltration.lib	sing_795.htm#IDX359
purityfiltration_lib	sing_795.htm#IDX360
pushForward	sing_2390.htm#SEC2466
pwalk	sing_1193.htm#SEC1269
pyobject	sing_243.htm#SEC283
pyobject 	sing_2108.htm#IDX756
pyobject declarations	sing_244.htm#SEC284
pyobject expressions	sing_245.htm#SEC285
pyobject operations	sing_246.htm#SEC286
pyobject related functions	sing_247.htm#SEC287
pyramid	sing_2274.htm#SEC2350
python_eval	sing_248.htm#SEC288
python_import	sing_249.htm#SEC289
python_run	sing_250.htm#SEC290
qbase	sing_2025.htm#SEC2101
qepcad	sing_2284.htm#SEC2360
qepcadsystem	sing_2285.htm#SEC2361
qhmatrix	sing_1659.htm#SEC1735
qhmoduli.lib	sing_1623.htm#SEC1699
qhmoduli_lib	sing_1623.htm#SEC1699
qhspectrum	sing_1646.htm#SEC1722
qhweight	sing_376.htm#SEC416
qmatrix.lib	sing_789.htm#SEC841
qmatrix_lib	sing_789.htm#SEC841
qminor	sing_791.htm#SEC843
qrds	sing_377.htm#SEC417
qring	sing_161.htm#SEC201
qring 	sing_466.htm#IDX289
qring (plural)	sing_492.htm#SEC532
qring declaration	sing_165.htm#SEC205
qring declaration (plural)	sing_493.htm#SEC533
qring related functions (plural)	sing_494.htm#SEC534
qring ring ideal 'factor ring'	sing_1053.htm#IDX445
qringNF, option	sing_364.htm#IDX164
qslimgb	sing_929.htm#SEC1005
quadraticSieve	sing_1937.htm#SEC2013
quantMat	sing_790.htm#SEC842
quickclass	sing_1529.htm#SEC1605
quit	sing_438.htm#SEC478
quote	sing_378.htm#SEC418
quotient	sing_379.htm#SEC419
quotient (plural)	sing_525.htm#SEC565
quotientLatticeBasis	sing_212.htm#SEC252
quotientMain	sing_1787.htm#SEC1863
quotientMon	sing_1233.htm#SEC1309
quotients	sing_2293.htm#IDX886
rHRR	sing_2224.htm#SEC2300
rMacaulay	sing_976.htm#SEC1052
rad_con	sing_1003.htm#SEC1079
radical	sing_1333.htm#SEC1409
radicalEHV	sing_1334.htm#SEC1410
radicalMemberShip	sing_2091.htm#SEC2167
radicalMon	sing_1234.htm#SEC1310
radicalZ	sing_1348.htm#SEC1424
randcharpoly	sing_2019.htm#SEC2095
randlinpoly	sing_2021.htm#SEC2097
random	sing_380.htm#SEC420
random 	sing_406.htm#IDX240
random  	sing_2154.htm#IDX828
random   	sing_2155.htm#IDX830
random number generator, seed	sing_406.htm#IDX238
random.lib	sing_1011.htm#SEC1087
randomBinomial	sing_1023.htm#SEC1099
randomCheck	sing_1850.htm#SEC1926
randomLast	sing_1022.htm#SEC1098
randomPoint	sing_213.htm#SEC253
randomPolyInT	sing_2100.htm#SEC2176
random_lib	sing_1011.htm#SEC1087
randomid	sing_1013.htm#SEC1089
randommat	sing_1014.htm#SEC1090
rank	sing_261.htm#IDX137
rank 	sing_381.htm#SEC421
ratSol	sing_825.htm#SEC877
ratgb.lib	sing_815.htm#IDX369
ratgb_lib	sing_815.htm#IDX370
rational curves, rational parametrization of rational curves.	sing_1411.htm#IDX547
rational normal curve, projection.	sing_1412.htm#IDX548
rational normal curve, projection. 	sing_1415.htm#IDX549
rational normal curve, projection.  	sing_1416.htm#IDX550
rational solutions	sing_817.htm#IDX381
rational univariate projection	sing_2019.htm#IDX734
rationalPointConic	sing_1413.htm#SEC1489
ratstd	sing_816.htm#SEC868
rays	sing_214.htm#SEC254
re2squ	sing_1390.htm#SEC1466
read	sing_382.htm#SEC422
readNmzData	sing_1308.htm#SEC1384
reading, option	sing_364.htm#IDX183
readline	sing_1.htm#IDX5
real	sing_28.htm#IDX74
real roots, univariate polynomial	sing_2026.htm#IDX736
real roots, univariate projection	sing_2010.htm#IDX732
real roots,sign conditions	sing_1793.htm#IDX712
realclassify	sing_2409.htm#SEC2485
realclassify.lib	sing_2408.htm#SEC2484
realclassify_lib	sing_2408.htm#SEC2484
realizationDim	sing_2063.htm#SEC2139
realizationDimPoly	sing_2065.htm#SEC2141
realizationMatroids.lib	sing_2062.htm#SEC2138
realizationMatroids_lib	sing_2062.htm#SEC2138
realmorsesplit	sing_2410.htm#SEC2486
realpoly	sing_1357.htm#SEC1433
realrad	sing_1359.htm#SEC1435
realrad.lib	sing_1356.htm#SEC1432
realrad_lib	sing_1356.htm#SEC1432
realzero	sing_1358.htm#SEC1434
recursive_boolean_poly	sing_2114.htm#SEC2190
recursive_from_boolean_poly	sing_2120.htm#SEC2196
redSB, option	sing_364.htm#IDX165
redTail, option	sing_364.htm#IDX167
redThrough, option	sing_364.htm#IDX168
redefine, option	sing_364.htm#IDX184
reduce	sing_383.htm#SEC423
reduce 	sing_568.htm#IDX318
reduce (plural)	sing_526.htm#SEC566
reduced standard basis	sing_364.htm#IDX166
reduction	sing_1711.htm#SEC1787
reesclos.lib	sing_1360.htm#SEC1436
reesclos_lib	sing_1360.htm#SEC1436
reference	sing_251.htm#SEC291
reference declarations	sing_252.htm#SEC292
reference expressions	sing_253.htm#SEC293
reference operations	sing_256.htm#SEC296
reference related functions	sing_257.htm#SEC297
regCM	sing_1273.htm#SEC1349
regIdeal	sing_1259.htm#SEC1335
regMonCurve	sing_1262.htm#SEC1338
regularity	sing_384.htm#SEC424
regularity 	sing_904.htm#SEC961
reiffen	sing_607.htm#SEC659
rel_orbit_variety	sing_1704.htm#SEC1780
relations	sing_787.htm#IDX358
relativeInteriorPoint	sing_215.htm#SEC255
relative_orbit_variety	sing_1705.htm#SEC1781
relweight	sing_1660.htm#SEC1736
remainder	sing_1780.htm#SEC1856
remainderMain	sing_1788.htm#SEC1864
removeCone	sing_235.htm#SEC275
removepower	sing_1517.htm#SEC1593
repart	sing_385.htm#SEC425
replace	sing_1889.htm#SEC1965
representation, math objects	sing_891.htm#SEC943
res	sing_386.htm#SEC426
resbinomial.lib	sing_1420.htm#IDX553
resbinomial_lib	sing_1420.htm#IDX554
reservedName	sing_387.htm#SEC427
resfunction	sing_1434.htm#SEC1510
resgraph.lib	sing_1452.htm#SEC1528
resgraph_lib	sing_1452.htm#SEC1528
resjung.lib	sing_1456.htm#SEC1532
resjung_lib	sing_1456.htm#SEC1532
reslist	sing_1448.htm#SEC1524
resolution	sing_156.htm#SEC196
resolution 	sing_795.htm#IDX365
resolution (plural)	sing_495.htm#SEC535
resolution declarations	sing_157.htm#SEC197
resolution declarations (plural)	sing_496.htm#SEC536
resolution expressions	sing_158.htm#SEC198
resolution expressions (plural)	sing_497.htm#SEC537
resolution graph	sing_1502.htm#IDX567
resolution related functions	sing_159.htm#SEC199
resolution related functions (plural)	sing_498.htm#SEC538
resolution, La Scala's method	sing_337.htm#SEC377
resolution, computation of	sing_386.htm#IDX186
resolution, hilbert-driven	sing_312.htm#SEC352
resolutionInLocalization	sing_2292.htm#SEC2368
resolutiongraph	sing_1503.htm#SEC1579
resolve	sing_1464.htm#SEC1540
resolve.lib	sing_1460.htm#SEC1536
resolve_lib	sing_1460.htm#SEC1536
resources.lib	sing_1024.htm#SEC1100
resources_lib	sing_1024.htm#SEC1100
restriction	sing_2147.htm#IDX816
restriction 	sing_2163.htm#IDX849
restriction  	sing_2164.htm#IDX851
restriction of	sing_612.htm#IDX341
restrictionIdeal	sing_622.htm#SEC674
restrictionModule	sing_623.htm#SEC675
resultant	sing_351.htm#SEC391
resultant 	sing_388.htm#SEC428
reszeta.lib	sing_1473.htm#SEC1549
reszeta_lib	sing_1473.htm#SEC1549
return	sing_439.htm#SEC479
return type of procedures	sing_464.htm#SEC504
returnSB, option	sing_364.htm#IDX152
reverse	sing_2040.htm#SEC2116
reverse lexicographical ordering	sing_895.htm#IDX386
reynolds_molien	sing_1680.htm#SEC1756
rho	sing_1931.htm#SEC2007
rightInverse	sing_1869.htm#SEC1945
rightKernel	sing_1867.htm#SEC1943
rightModulo	sing_774.htm#SEC826
rightNF	sing_773.htm#SEC825
rightNFWeyl	sing_842.htm#SEC894
rightStd	sing_772.htm#SEC824
ring	sing_160.htm#SEC200
ring (plural)	sing_499.htm#SEC539
ring coefficients	sing_1050.htm#IDX442
ring coefficients 	sing_1051.htm#IDX443
ring coefficients  	sing_1052.htm#IDX444
ring declarations	sing_162.htm#SEC202
ring declarations (plural)	sing_500.htm#SEC540
ring operations	sing_164.htm#SEC204
ring operations (plural)	sing_501.htm#SEC541
ring related functions	sing_163.htm#SEC203
ring related functions (plural)	sing_502.htm#SEC542
ring, opposite	sing_406.htm#IDX225
ring.lib	sing_1029.htm#SEC1105
ring_cf	sing_261.htm#IDX138
ring_lib	sing_1029.htm#SEC1105
ring_variable	sing_2134.htm#IDX793
ring_variable 	sing_2135.htm#IDX795
ring_variable  	sing_2136.htm#IDX799
ring_variable   	sing_2137.htm#IDX801
ringlist	sing_389.htm#SEC429
ringlist (plural)	sing_527.htm#SEC567
ringtensor	sing_1041.htm#SEC1117
ringweights	sing_1042.htm#SEC1118
rinvar.lib	sing_1716.htm#SEC1792
rinvar_lib	sing_1716.htm#SEC1792
rmNmzFiles	sing_1313.htm#SEC1389
rm_unitcol	sing_1109.htm#SEC1185
rm_unitrow	sing_1108.htm#SEC1184
rmx	sing_1814.htm#SEC1890
rncAntiCanonicalMap	sing_1412.htm#SEC1488
rncItProjEven	sing_1416.htm#SEC1492
rncItProjOdd	sing_1415.htm#SEC1491
root of Bernstein-Sato polynomial	sing_589.htm#IDX330
rootofUnity	sing_1044.htm#SEC1120
roots	sing_1781.htm#SEC1857
rootsMain	sing_1789.htm#SEC1865
rootsModp	sing_1913.htm#SEC1989
rootsmr.lib	sing_2010.htm#SEC2086
rootsmr_lib	sing_2010.htm#SEC2086
rootsur.lib	sing_2026.htm#SEC2102
rootsur_lib	sing_2026.htm#SEC2102
round	sing_1911.htm#SEC1987
rowShift	sing_261.htm#IDX141
rowShift 	sing_263.htm#SEC303
rowred	sing_1105.htm#SEC1181
rp, global ordering	sing_895.htm#IDX385
rswalk	sing_2407.htm#SEC2483
rtimer	sing_452.htm#SEC492
rvalue	sing_458.htm#SEC498
rvar	sing_390.htm#SEC430
rwalk	sing_2403.htm#SEC2479
rwalk.lib	sing_2401.htm#SEC2477
rwalk_lib	sing_2401.htm#SEC2477
s_res	sing_1059.htm#SEC1135
sa_poly_reduce	sing_577.htm#SEC629
sa_reduce	sing_576.htm#SEC628
sagbi	sing_1366.htm#SEC1442
sagbi.lib	sing_1363.htm#SEC1439
sagbiPart	sing_1367.htm#SEC1443
sagbiReduce	sing_1365.htm#SEC1441
sagbiSPoly	sing_1364.htm#SEC1440
sagbi_lib	sing_1363.htm#SEC1439
salida	sing_1445.htm#SEC1521
sameComponent	sing_1993.htm#SEC2069
sameQ	sing_1792.htm#SEC1868
sat	sing_1174.htm#SEC1250
satiety	sing_1261.htm#SEC1337
satstd	sing_2468.htm#SEC2544
sba	sing_391.htm#SEC431
scalarProd	sing_566.htm#SEC618
scheme	sing_2265.htm#SEC2341
schreyer.lib	sing_1058.htm#SEC1134
schreyer_lib	sing_1058.htm#SEC1134
sdb, source code debugger	sing_66.htm#SEC103
secondary fan	sing_2044.htm#IDX739
secondary polytope	sing_2044.htm#IDX740
secondaryFan	sing_2052.htm#SEC2128
secondaryPolytope	sing_2051.htm#SEC2127
secondary_and_irreducibles_no_molien	sing_1701.htm#SEC1777
secondary_char0	sing_1696.htm#SEC1772
secondary_charp	sing_1698.htm#SEC1774
secondary_no_molien	sing_1699.htm#SEC1775
secondary_not_cohen_macaulay	sing_1702.htm#SEC1778
segre	sing_2179.htm#SEC2255
select	sing_1175.htm#SEC1251
select1	sing_1176.htm#SEC1252
semaphore	sing_406.htm#IDX243
semaphore 	sing_1028.htm#SEC1104
semaphores	sing_1024.htm#IDX437
semiCMcod2	sing_1657.htm#SEC1733
semidiv	sing_1985.htm#SEC2061
semigroup	sing_1506.htm#SEC1582
semigroup 	sing_1510.htm#IDX574
semigroup of values	sing_1596.htm#IDX689
semigroupGenerator	sing_216.htm#SEC256
sep	sing_1343.htm#SEC1419
separateHNE	sing_1607.htm#SEC1683
separator	sing_1244.htm#SEC1320
serreRelations	sing_695.htm#SEC747
set	sing_2129.htm#IDX779
setBaseMultigrading	sing_2345.htm#SEC2421
setLetterplaceAttributes	sing_686.htm#SEC738
setLinearForms	sing_217.htm#SEC257
setModuleGrading	sing_2357.htm#SEC2433
setMultiplicity	sing_218.htm#SEC258
setNmzDataPath	sing_1310.htm#SEC1386
setNmzExecPath	sing_1306.htm#SEC1382
setNmzFilename	sing_1309.htm#SEC1385
setNmzOption	sing_1303.htm#SEC1379
set_is_injective	sing_1973.htm#SEC2049
setcores	sing_1026.htm#SEC1102
setenv	sing_406.htm#IDX246
setinitials	sing_2275.htm#SEC2351
setring	sing_392.htm#SEC432
sh	sing_406.htm#IDX248
shared	sing_251.htm#SEC291
shared declarations	sing_254.htm#SEC294
shared expressions	sing_255.htm#SEC295
shared operations	sing_256.htm#SEC296
shared related functions	sing_257.htm#SEC297
sheaf cohomology	sing_1483.htm#IDX555
sheafCoh	sing_1489.htm#SEC1565
sheafCohBGG	sing_1487.htm#SEC1563
sheafCohBGG2	sing_1488.htm#SEC1564
sheafcoh.lib	sing_1483.htm#SEC1559
sheafcoh_lib	sing_1483.htm#SEC1559
shiftPoly	sing_688.htm#SEC740
short	sing_449.htm#SEC489
show	sing_977.htm#SEC1053
showBO	sing_1465.htm#SEC1541
showDataTypes	sing_1467.htm#SEC1543
showNmzOptions	sing_1304.htm#SEC1380
showNuminvs	sing_1301.htm#SEC1377
showgrades	sing_800.htm#SEC852
showrecursive	sing_978.htm#SEC1054
sickle	sing_673.htm#SEC725
signatureBrieskorn	sing_1666.htm#SEC1742
signatureL	sing_2104.htm#SEC2180
signatureLqf	sing_2105.htm#SEC2181
signatureNemethi	sing_1668.htm#SEC1744
signaturePuiseux	sing_1667.htm#SEC1743
signcnd	sing_1794.htm#SEC1870
signcond.lib	sing_1793.htm#SEC1869
signcond_lib	sing_1793.htm#SEC1869
simplesolver	sing_1738.htm#SEC1814
simplex	sing_393.htm#SEC433
simplexOut	sing_1765.htm#SEC1841
simplify	sing_394.htm#SEC434
simplifyRat	sing_837.htm#SEC889
sing.lib	sing_1633.htm#SEC1709
sing4ti2.lib	sing_1369.htm#SEC1445
sing4ti2_lib	sing_1369.htm#SEC1445
sing_lib	sing_1633.htm#SEC1709
singular locus of D-module	sing_817.htm#IDX375
singularities	sing_1565.htm#IDX591
singularities 	sing_1566.htm#IDX602
singularities  	sing_1567.htm#IDX605
singularities   	sing_1568.htm#IDX608
singularities    	sing_1569.htm#IDX611
singularities     	sing_1570.htm#IDX615
singularities      	sing_1571.htm#IDX619
singularities       	sing_1572.htm#IDX625
singularities        	sing_1573.htm#IDX633
singularities         	sing_1574.htm#IDX639
singularities          	sing_1575.htm#IDX647
singularities           	sing_1576.htm#IDX657
singularities            	sing_1664.htm#IDX704
singularities, resolution of	sing_880.htm#SEC932
singularity	sing_1530.htm#SEC1606
singularrc	sing_20.htm#IDX73
size	sing_395.htm#SEC435
size 	sing_466.htm#IDX288
skewmat	sing_1092.htm#SEC1168
sleep	sing_401.htm#SEC441
slimgb	sing_396.htm#SEC436
slimgb 	sing_857.htm#SEC909
slimgb (plural)	sing_528.htm#SEC568
slocus	sing_1645.htm#SEC1721
smith	sing_1878.htm#SEC1954
smithNormalForm	sing_2393.htm#SEC2469
solutionsMod2	sing_1928.htm#SEC2004
solve	sing_1759.htm#SEC1835
solve a linear equation system A*x = b via the LU-decomposition of A	sing_340.htm#SEC380
solve.lib	sing_1757.htm#SEC1833
solveTInitialFormPar	sing_2094.htm#SEC2170
solve_IP	sing_1219.htm#SEC1295
solve_lib	sing_1757.htm#SEC1833
solvelinearpart	sing_1752.htm#SEC1828
sort	sing_950.htm#SEC1026
sortIntvec	sing_644.htm#SEC696
sortandmap	sing_1753.htm#SEC1829
sortier	sing_1715.htm#SEC1791
sortvars	sing_1754.htm#SEC1830
sortvec	sing_397.htm#SEC437
source code debugger, sdb	sing_66.htm#SEC103
spadd	sing_1579.htm#SEC1655
span	sing_219.htm#SEC259
sparseHomogIdeal	sing_1020.htm#SEC1096
sparseInterpolation	sing_2260.htm#SEC2336
sparseid	sing_1015.htm#SEC1091
sparsemat	sing_1017.htm#SEC1093
sparsematrix	sing_1016.htm#SEC1092
sparsepoly	sing_1018.htm#SEC1094
sparsetriag	sing_1019.htm#SEC1095
spcurve.lib	sing_1653.htm#SEC1729
spcurve_lib	sing_1653.htm#SEC1729
special characters, non-english	sing_455.htm#IDX281
spectral pairs	sing_1565.htm#IDX600
spectral pairs 	sing_1572.htm#IDX632
spectral pairs  	sing_1574.htm#IDX646
spectral pairs   	sing_1575.htm#IDX655
spectral pairs    	sing_1587.htm#IDX671
spectral pairs     	sing_1589.htm#IDX682
spectralNeg	sing_1475.htm#SEC1551
spectrum	sing_1565.htm#IDX599
spectrum 	sing_1571.htm#SEC1647
spectrum  	sing_1571.htm#IDX624
spectrum   	sing_1572.htm#IDX631
spectrum    	sing_1573.htm#IDX638
spectrum     	sing_1574.htm#IDX645
spectrum      	sing_1575.htm#IDX654
spectrum       	sing_1587.htm#IDX670
spectrum        	sing_1589.htm#IDX681
spectrum         	sing_1664.htm#IDX706
spectrum.lib	sing_1663.htm#SEC1739
spectrum_lib	sing_1663.htm#SEC1739
spectrumnd	sing_1664.htm#SEC1740
spgamma	sing_1586.htm#SEC1662
spgeomgenus	sing_1585.htm#SEC1661
spissemicont	sing_1582.htm#SEC1658
split	sing_979.htm#SEC1055
splitPolygon	sing_2054.htm#SEC2130
splitring	sing_1355.htm#SEC1431
splitting	sing_1252.htm#SEC1328
spmilnor	sing_1584.htm#SEC1660
spmul	sing_1581.htm#SEC1657
spnf	sing_1135.htm#SEC1211
spoly	sing_1996.htm#SEC2072
sppairs	sing_1572.htm#SEC1648
sppnf	sing_1577.htm#SEC1653
sppprint	sing_1578.htm#SEC1654
spprint	sing_1136.htm#SEC1212
sprintf	sing_399.htm#SEC439
spsemicont	sing_1583.htm#SEC1659
spsub	sing_1580.htm#SEC1656
sqfrNorm	sing_1782.htm#SEC1858
sqfrNormMain	sing_1790.htm#SEC1866
sqr	sing_1908.htm#SEC1984
sqrfree	sing_398.htm#SEC438
squareRoot	sing_1927.htm#SEC2003
squarefree	sing_1608.htm#SEC1684
sres	sing_400.htm#SEC440
ssi	sing_852.htm#SEC904
staircase	sing_1799.htm#SEC1875
standard	sing_2003.htm#SEC2079
standard.lib	sing_928.htm#IDX413
standard_lib	sing_928.htm#IDX414
startNmz	sing_1312.htm#SEC1388
startTasks	sing_1072.htm#SEC1148
static procedures	sing_43.htm#SEC78
status	sing_401.htm#SEC441
std	sing_402.htm#SEC442
std 	sing_855.htm#SEC907
std (plural)	sing_529.htm#SEC569
stdfglm	sing_403.htm#SEC443
stdhilb	sing_404.htm#SEC444
stopTask	sing_1073.htm#SEC1149
stratify	sing_1733.htm#SEC1809
stratify.lib	sing_1731.htm#SEC1807
stratify_lib	sing_1731.htm#SEC1807
string	sing_166.htm#SEC206
string 	sing_466.htm#IDX291
string declarations	sing_167.htm#SEC207
string expressions	sing_168.htm#SEC208
string operations	sing_170.htm#SEC210
string related functions	sing_171.htm#SEC211
string type cast	sing_169.htm#SEC209
stripHNE	sing_1605.htm#SEC1681
sturm	sing_2036.htm#SEC2112
sturmha	sing_2038.htm#SEC2114
sturmhaseq	sing_2039.htm#SEC2115
sturmquery	sing_2014.htm#SEC2090
sturmseq	sing_2037.htm#SEC2113
submat	sing_1093.htm#SEC1169
subrInterred	sing_1008.htm#SEC1084
subset_sum01	sing_1957.htm#SEC2033
subset_sum02	sing_1958.htm#SEC2034
subst	sing_405.htm#SEC445
subst (plural)	sing_530.htm#SEC570
substitute	sing_1007.htm#SEC1083
sugarCrit, option	sing_364.htm#IDX169
sum	sing_951.htm#SEC1027
sum_of_powers	sing_2183.htm#SEC2259
sumlist	sing_1447.htm#SEC1523
super-commutative algebras	sing_539.htm#SEC591
superCommutative	sing_771.htm#SEC823
super_increasing_knapsack	sing_1969.htm#SEC2045
surf.lib	sing_1816.htm#SEC1892
surf_lib	sing_1816.htm#SEC1892
surfacesignature.lib	sing_1665.htm#SEC1741
surfacesignature_lib	sing_1665.htm#SEC1741
surfer	sing_1.htm#IDX8
surfer 	sing_1818.htm#SEC1894
surfex	sing_1.htm#IDX7
surfex.lib	sing_1819.htm#SEC1895
surfex_lib	sing_1819.htm#SEC1895
suspend	sing_401.htm#SEC441
swalk	sing_2406.htm#SEC2482
swalk.lib	sing_2405.htm#SEC2481
swalk_lib	sing_2405.htm#SEC2481
swap	sing_1534.htm#SEC1610
swap 	sing_2136.htm#IDX797
switch	sing_460.htm#SEC500
syModStd	sing_1379.htm#SEC1455
symNsym	sing_2177.htm#SEC2253
sym_gauss	sing_1119.htm#SEC1195
symm	sing_2176.htm#SEC2252
symmStd	sing_1378.htm#SEC1454
symmat	sing_1094.htm#SEC1170
symmetric basis	sing_1111.htm#IDX452
symmetric power	sing_1113.htm#IDX454
symmetricBasis	sing_1111.htm#SEC1187
symmetricPower	sing_1113.htm#SEC1189
symmfunc	sing_2023.htm#SEC2099
symodstd.lib	sing_1373.htm#SEC1449
symodstd_lib	sing_1373.htm#SEC1449
symsignature	sing_2013.htm#SEC2089
syndrome	sing_1846.htm#SEC1922
sysBin	sing_1844.htm#SEC1920
sysCRHT	sing_1841.htm#SEC1917
sysCRHTMindist	sing_1842.htm#SEC1918
sysFL	sing_1857.htm#SEC1933
sysNewton	sing_1843.htm#SEC1919
sysQE	sing_1847.htm#SEC1923
sys_code	sing_1838.htm#SEC1914
system	sing_406.htm#SEC446
system, --	sing_406.htm#IDX271
system, --long_option_name	sing_406.htm#IDX274
system, --long_option_name=value	sing_406.htm#IDX276
system, HC	sing_406.htm#IDX214
system, LLL	sing_406.htm#IDX218
system, Singular	sing_406.htm#IDX252
system, SingularLib	sing_406.htm#IDX254
system, absFact	sing_406.htm#IDX189
system, blackbox	sing_406.htm#IDX190
system, bracket	sing_406.htm#IDX195
system, browsers	sing_406.htm#IDX194
system, btest	sing_406.htm#IDX197
system, complexNearZero	sing_406.htm#IDX198
system, contributors	sing_406.htm#IDX200
system, cpu	sing_406.htm#IDX202
system, cpu 	sing_406.htm#IDX270
system, denom_list	sing_406.htm#IDX204
system, eigenvals	sing_406.htm#IDX205
system, env	sing_406.htm#IDX206
system, executable	sing_406.htm#IDX208
system, freegb	sing_406.htm#IDX209
system, getPrecDigits	sing_406.htm#IDX212
system, getenv	sing_406.htm#IDX211
system, gmsnf	sing_406.htm#IDX213
system, hessenberg	sing_406.htm#IDX215
system, install	sing_406.htm#IDX217
system, nblocks	sing_406.htm#IDX221
system, newstruct	sing_406.htm#IDX222
system, opp	sing_406.htm#IDX223
system, oppose	sing_406.htm#IDX226
system, pcvBasis	sing_406.htm#IDX235
system, pcvCV2P	sing_406.htm#IDX233
system, pcvDim	sing_406.htm#IDX234
system, pcvLAddL	sing_406.htm#IDX229
system, pcvMinDeg	sing_406.htm#IDX231
system, pcvP2CV	sing_406.htm#IDX232
system, pcvPMulL	sing_406.htm#IDX230
system, pid	sing_406.htm#IDX237
system, random	sing_406.htm#IDX239
system, reserve	sing_406.htm#IDX241
system, reservedLink	sing_406.htm#IDX242
system, semaphore	sing_406.htm#IDX244
system, semic	sing_406.htm#IDX245
system, setenv	sing_406.htm#IDX247
system, sh	sing_406.htm#IDX249
system, shrinktest	sing_406.htm#IDX250
system, spadd	sing_406.htm#IDX255
system, spectrum	sing_406.htm#IDX256
system, spmul	sing_406.htm#IDX257
system, std_syz	sing_406.htm#IDX258
system, stest	sing_406.htm#IDX259
system, tensorModuleMult	sing_406.htm#IDX260
system, twostd	sing_406.htm#IDX261
system, uname	sing_406.htm#IDX264
system, version	sing_406.htm#IDX267
system, with	sing_406.htm#IDX268
systemOfParametersOfLocalization	sing_2289.htm#SEC2365
syz	sing_407.htm#SEC447
syz (plural)	sing_531.htm#SEC571
syzygy	sing_1058.htm#IDX448
tDetropicalise	sing_2096.htm#SEC2172
tInitialForm	sing_2080.htm#SEC2156
tInitialFormPar	sing_2092.htm#SEC2168
tInitialFormParMax	sing_2093.htm#SEC2169
tInitialIdeal	sing_2081.htm#SEC2157
tab	sing_980.htm#SEC1056
tail	sing_1992.htm#SEC2068
tame polynomial	sing_1587.htm#IDX663
tame polynomial 	sing_1588.htm#IDX673
tame polynomial  	sing_1589.htm#IDX674
tangentGens	sing_1403.htm#SEC1479
tangentcone	sing_1652.htm#SEC1728
task	sing_1066.htm#IDX451
tasks.lib	sing_1066.htm#SEC1142
tasks_lib	sing_1066.htm#SEC1142
tau_es	sing_1560.htm#SEC1636
tau_es2	sing_1514.htm#SEC1590
tdCf	sing_2212.htm#SEC2288
tdFactor	sing_2214.htm#SEC2290
tdProj	sing_2217.htm#SEC2293
tdTerms	sing_2213.htm#SEC2289
teachstd.lib	sing_1990.htm#SEC2066
teachstd_lib	sing_1990.htm#SEC2066
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_547.htm#IDX305
tensor 	sing_1095.htm#SEC1171
tensorMod	sing_1214.htm#SEC1290
term orderings	sing_894.htm#SEC946
term orderings introduction	sing_893.htm#SEC945
testNCfac	sing_745.htm#SEC797
testParametrization	sing_1418.htm#SEC1494
testPointConic	sing_1419.htm#SEC1495
testPrimary	sing_1331.htm#SEC1407
testPrimaryE	sing_1332.htm#SEC1408
tex	sing_1805.htm#SEC1881
texDrawBasic	sing_2087.htm#SEC2163
texDrawNewtonSubdivision	sing_2089.htm#SEC2165
texDrawTriangulation	sing_2090.htm#SEC2166
texDrawTropical	sing_2088.htm#SEC2164
texMatrix	sing_2086.htm#SEC2162
texNumber	sing_2084.htm#SEC2160
texPolynomial	sing_2085.htm#SEC2161
texcoef	sing_1886.htm#SEC1962
texdemo	sing_1806.htm#SEC1882
texfactorize	sing_1807.htm#SEC1883
texmap	sing_1808.htm#SEC1884
texname	sing_1809.htm#SEC1885
texobj	sing_1810.htm#SEC1886
texpoly	sing_1811.htm#SEC1887
texproc	sing_1812.htm#SEC1888
texring	sing_1813.htm#SEC1889
the first alternative algorithm	sing_1191.htm#IDX486
three_elements	sing_1976.htm#SEC2052
timeFactorize	sing_955.htm#SEC1031
timeStd	sing_954.htm#SEC1030
timer	sing_450.htm#SEC490
timer resolution, setting the	sing_406.htm#IDX277
timestep	sing_2278.htm#SEC2354
tjurina	sing_1648.htm#SEC1724
tmatrix	sing_1575.htm#SEC1651
todd	sing_2209.htm#SEC2285
toddE	sing_2210.htm#SEC2286
toddPoly	sing_2223.htm#SEC2299
tolessvars	sing_1751.htm#SEC1827
topological invariants	sing_1502.htm#IDX565
topological invariants 	sing_1509.htm#IDX572
topological invariants  	sing_1510.htm#IDX576
topological invariants   	sing_1511.htm#IDX580
topological invariants    	sing_1512.htm#IDX584
toric geometry	sing_2466.htm#SEC2542
toric ideals	sing_908.htm#SEC965
toric ring	sing_1290.htm#IDX515
toric.lib	sing_1380.htm#SEC1456
toric_ideal	sing_1381.htm#SEC1457
toric_lib	sing_1380.htm#SEC1456
toric_std	sing_1382.htm#SEC1458
torusInvariants	sing_1296.htm#SEC1372
total divisors	sing_547.htm#IDX302
total multiplicities	sing_1502.htm#IDX568
totalmultiplicities	sing_1504.htm#SEC1580
trace	sing_408.htm#SEC448
tracemult	sing_2017.htm#SEC2093
transpose	sing_409.htm#SEC449
trapezoid	sing_2272.htm#SEC2348
triMNewton	sing_1777.htm#SEC1853
triagmatrix	sing_1021.htm#SEC1097
triang.lib	sing_1770.htm#SEC1846
triangL	sing_1771.htm#SEC1847
triangL_solve	sing_1768.htm#SEC1844
triangLf_solve	sing_1766.htm#SEC1842
triangLfak	sing_1772.htm#SEC1848
triangM	sing_1773.htm#SEC1849
triangMH	sing_1774.htm#SEC1850
triangM_solve	sing_1767.htm#SEC1843
triang_lib	sing_1770.htm#SEC1846
triang_solve	sing_1769.htm#SEC1845
triangulations	sing_2050.htm#SEC2126
tropical curves	sing_2066.htm#IDX746
tropical geometry	sing_1177.htm#IDX462
tropical mirror symmetry	sing_1177.htm#IDX464
tropical polynomials	sing_2066.htm#IDX747
tropical.lib	sing_2066.htm#IDX744
tropicalCurve	sing_2071.htm#SEC2147
tropicalJInvariant	sing_2074.htm#SEC2150
tropicalLifting	sing_2067.htm#SEC2143
tropicalSubst	sing_2099.htm#SEC2175
tropicalVariety	sing_2425.htm#SEC2501
tropical_lib	sing_2066.htm#IDX745
tropicalise	sing_2078.htm#SEC2154
tropicaliseSet	sing_2079.htm#SEC2155
truncate	sing_1484.htm#SEC1560
truncateFast	sing_1485.htm#SEC1561
truncated module	sing_1484.htm#IDX556
truncated module 	sing_1485.htm#IDX557
tst_ncfactor	sing_753.htm#SEC805
twalk	sing_1190.htm#SEC1266
two-sided	sing_547.htm#IDX303
two-sided Groebner basis	sing_547.htm#IDX304
twostd	sing_406.htm#IDX262
twostd 	sing_532.htm#SEC572
type	sing_410.htm#SEC450
type B	sing_2152.htm#IDX824
type D	sing_2153.htm#IDX826
type,custom	sing_178.htm#SEC218
type2arr	sing_2130.htm#SEC2206
typecasting	sing_2130.htm#IDX780
typecasting 	sing_2131.htm#IDX782
typecasting  	sing_2132.htm#IDX785
typeof	sing_411.htm#SEC451
u	sing_2264.htm#SEC2340
uname	sing_406.htm#IDX263
unbounded_knapsack	sing_1959.htm#SEC2035
unipotent groups	sing_1402.htm#IDX524
uniquePoint	sing_220.htm#SEC260
unitmat	sing_1096.htm#SEC1172
univariate	sing_412.htm#SEC452
univarpoly	sing_2024.htm#SEC2100
unknown syndrome	sing_924.htm#SEC995
unset	sing_325.htm#SEC365
untyped definitions	sing_83.htm#SEC123
untyped definitions 	sing_472.htm#SEC512
updatePairs	sing_2002.htm#SEC2078
ures_solve	sing_1760.htm#SEC1836
uressolve	sing_413.htm#SEC453
usage, option	sing_364.htm#IDX185
user interface, Emacs	sing_21.htm#SEC28
valvars	sing_1755.htm#SEC1831
vandermonde	sing_414.htm#SEC454
vanishId	sing_1856.htm#SEC1932
var	sing_415.htm#SEC455
varMat	sing_2134.htm#SEC2210
varNum	sing_2135.htm#SEC2211
variables	sing_416.htm#SEC456
variables 	sing_2134.htm#IDX792
variables  	sing_2135.htm#IDX794
variables   	sing_2136.htm#IDX798
variables    	sing_2137.htm#IDX800
variablesSorted	sing_585.htm#SEC637
variablesStandard	sing_584.htm#SEC636
vars2pars	sing_832.htm#SEC884
varsigns	sing_2029.htm#SEC2105
varstr	sing_417.htm#SEC457
vct2str	sing_693.htm#SEC745
vdim	sing_418.htm#SEC458
vdim (plural)	sing_533.htm#SEC573
vec2poly	sing_567.htm#SEC619
vector	sing_172.htm#SEC212
vector declarations	sing_173.htm#SEC213
vector expressions	sing_174.htm#SEC214
vector operations	sing_175.htm#SEC215
vector related functions	sing_176.htm#SEC216
verify	sing_2020.htm#SEC2096
versal	sing_1555.htm#SEC1631
version	sing_406.htm#IDX266
vertexAdjacencyGraph	sing_2463.htm#SEC2539
vertexEdgeGraph	sing_2464.htm#SEC2540
vertices	sing_242.htm#SEC282
vfilt	sing_1573.htm#SEC1649
view	sing_1876.htm#SEC1952
visual	sing_2465.htm#SEC2541
visualize	sing_2263.htm#SEC2339
voice	sing_453.htm#SEC493
vwfilt	sing_1574.htm#SEC1650
wUnit	sing_1914.htm#SEC1990
waitAllTasks	sing_1075.htm#SEC1151
waitTasks	sing_1074.htm#SEC1150
waitall	sing_419.htm#SEC459
waitfirst	sing_420.htm#SEC460
warkedPreimageStd	sing_2291.htm#SEC2367
warn, option	sing_70.htm#SEC110
warn, option 	sing_364.htm#IDX151
watchdog	sing_952.htm#SEC1028
wedge	sing_421.htm#SEC461
weierstr.lib	sing_2005.htm#SEC2081
weierstrDiv	sing_2006.htm#SEC2082
weierstrPrep	sing_2007.htm#SEC2083
weierstr_lib	sing_2005.htm#SEC2081
weierstrassForm	sing_2075.htm#SEC2151
weight	sing_422.htm#SEC462
weight filtration	sing_1565.htm#IDX596
weight filtration 	sing_1572.htm#IDX630
weight filtration  	sing_1574.htm#IDX644
weight filtration   	sing_1575.htm#IDX652
weight filtration    	sing_1587.htm#IDX668
weight filtration     	sing_1589.htm#IDX679
weightKB	sing_423.htm#SEC463
weightM, option	sing_364.htm#IDX170
weighted lexicographical ordering	sing_895.htm#IDX393
weighted reverse lexicographical ordering	sing_895.htm#IDX391
weightedRing	sing_764.htm#SEC816
whichvariable	sing_2028.htm#SEC2104
while	sing_440.htm#SEC480
withDim	sing_261.htm#IDX145
withHilb	sing_261.htm#IDX143
withMult	sing_261.htm#IDX146
withRes	sing_261.htm#IDX144
withSB	sing_261.htm#IDX142
wp, global ordering	sing_895.htm#IDX392
write	sing_424.htm#SEC464
writeNmzData	sing_1307.htm#SEC1383
writeNmzPaths	sing_1311.htm#SEC1387
ws, local ordering	sing_896.htm#IDX403
wurzel	sing_1896.htm#SEC1972
xchange	sing_1890.htm#SEC1966
xdvi	sing_1815.htm#SEC1891
zdd	sing_2108.htm#IDX758
zdd2poly	sing_2125.htm#SEC2201
zero-dimensional	sing_2025.htm#IDX735
zeroMod	sing_1248.htm#SEC1324
zeroOpt	sing_1257.htm#SEC1333
zeroRadical	sing_1159.htm#SEC1235
zeroSet	sing_1783.htm#SEC1859
zerodec	sing_1340.htm#SEC1416
zeroset.lib	sing_1778.htm#SEC1854
zeroset_lib	sing_1778.htm#SEC1854
zetaDL	sing_1477.htm#SEC1553
{	sing_36.htm#IDX78
||	sing_36.htm#IDX103
|| 	sing_96.htm#SEC136
}	sing_36.htm#IDX79
~	sing_36.htm#IDX117
~ 	sing_441.htm#SEC481
