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--	sing_36.htm#IDX88
--MPhost	sing_19.htm#IDX66
--MPport	sing_19.htm#IDX65
--allow-net	sing_19.htm#IDX39
--batch	sing_19.htm#IDX64
--browser	sing_19.htm#IDX43
--echo	sing_19.htm#IDX35
--emacs	sing_19.htm#IDX67
--emacs-dir	sing_19.htm#IDX68
--emacs-load	sing_19.htm#IDX69
--execute	sing_19.htm#IDX56
--help	sing_19.htm#IDX37
--min-time	sing_19.htm#IDX61
--no-out	sing_19.htm#IDX49
--no-rc	sing_19.htm#IDX45
--no-shell	sing_19.htm#IDX50
--no-stdlib	sing_19.htm#IDX47
--no-tty	sing_19.htm#IDX51
--no-warn	sing_19.htm#IDX48
--quiet	sing_19.htm#IDX53
--random	sing_19.htm#IDX60
--sdb	sing_19.htm#IDX32
--singular	sing_19.htm#IDX70
--ticks-per-sec	sing_19.htm#IDX62
--user-option	sing_19.htm#IDX58
->	sing_164.htm#SEC204
-b	sing_19.htm#IDX63
-c	sing_19.htm#IDX55
-d	sing_19.htm#IDX31
-e	sing_19.htm#IDX34
-h	sing_19.htm#IDX36
-q	sing_19.htm#IDX52
-r	sing_19.htm#IDX59
-u	sing_19.htm#IDX57
-v	sing_19.htm#IDX54
..	sing_36.htm#IDX113
.singular	sing_18.htm#SEC25
.singularrc file	sing_20.htm#IDX72
.singularrc file, no loading	sing_19.htm#IDX46
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/ 	sing_76.htm#SEC116
/  	sing_115.htm#SEC155
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>=    	sing_181.htm#SEC221
>=     	sing_186.htm#SEC226
?	sing_36.htm#IDX106
? 	sing_267.htm#IDX150
ADGT	sing_1070.htm#SEC1151
AG codes	sing_979.htm#SEC1036
AGcode_L	sing_2279.htm#SEC2360
AGcode_Omega	sing_2280.htm#SEC2361
ASCII	sing_1030.htm#SEC1111
ASCII links	sing_122.htm#SEC162
ASSUME	sing_64.htm#SEC101
A_L	sing_1900.htm#SEC1981
A_Z	sing_1028.htm#SEC1109
A_Z_L	sing_1029.htm#SEC1110
Access to elements of a user defined type	sing_191.htm#SEC231
Adj_div	sing_2274.htm#SEC2355
Adjoint ideal	sing_1725.htm#IDX744
Alexander polynomial	sing_1861.htm#IDX792
Algebraic Geometry codes	sing_2273.htm#IDX961
Algebraic dependence	sing_958.htm#SEC1015
Algebraic geometry	sing_1594.htm#SEC1675
AltVarEnd	sing_758.htm#SEC812
AltVarStart	sing_757.htm#SEC811
Ann	sing_1526.htm#SEC1607
Appel function	sing_568.htm#IDX366
Appel hypergeometric function	sing_568.htm#IDX367
Applications	sing_977.htm#SEC1034
Arnol'd	sing_1879.htm#IDX812
Arnold, classification.	sing_1908.htm#IDX817
Arnold, classification. 	sing_1909.htm#IDX818
ArnoldAction	sing_2015.htm#SEC2096
ArnoldType	sing_2785.htm#SEC2866
Assignments for user defined types	sing_193.htm#SEC233
AssocTanToEnv	sing_1064.htm#SEC1145
Authors	sing_1.htm#IDX16
Automatic Deduction	sing_1070.htm#IDX542
Automatic Demonstration	sing_1070.htm#IDX543
BFBoundsBudur	sing_605.htm#SEC659
BINresol	sing_1738.htm#SEC1819
BSidealFromAnn	sing_603.htm#SEC657
Background	sing_3.htm#SEC5
Basic programming	sing_933.htm#SEC990
Basic programming 	sing_933.htm#SEC990
BelongSemig	sing_2479.htm#SEC2560
BerlekampMassey	sing_1313.htm#SEC1394
Bern	sing_1633.htm#SEC1714
Bernstein operator	sing_544.htm#IDX348
Bernstein-Sato ideal	sing_600.htm#IDX369
Bernstein-Sato polynomial	sing_509.htm#IDX329
Bernstein-Sato polynomial 	sing_544.htm#IDX345
Bernstein-Sato polynomial  	sing_1956.htm#IDX829
Bernstein-Sato polynomial   	sing_1960.htm#IDX846
Bernstein-Sato polynomial for variety	sing_608.htm#IDX377
BernsteinSatoIdeal	sing_604.htm#SEC658
Betti	sing_1371.htm#SEC1452
Betti number	sing_995.htm#SEC1057
BettiNumsH	sing_1683.htm#SEC1764
BettiNumsN	sing_1691.htm#SEC1772
BettiNumsQp	sing_1686.htm#SEC1767
BettiNumsS	sing_1689.htm#SEC1770
Betty number	sing_1680.htm#IDX706
Bigatti-La Scala-Robbiano algorithm	sing_1005.htm#SEC1067
Bimodules	sing_831.htm#SEC885
Bisyzygy	sing_831.htm#SEC885
BlowingUp	sing_1935.htm#SEC2016
Blowupcenter	sing_1741.htm#SEC1822
BorelCheck	sing_1858.htm#SEC1939
Bott's formula	sing_1800.htm#IDX760
Branches of space curve singularities	sing_966.htm#SEC1023
Briancon-Maisonobe algorithm	sing_544.htm#IDX354
Brieskorn lattice	sing_1956.htm#IDX825
Brieskorn lattice 	sing_1957.htm#IDX836
Brieskorn lattice  	sing_1958.htm#IDX839
Brieskorn lattice   	sing_1959.htm#IDX842
Brieskorn lattice    	sing_1960.htm#IDX845
Brieskorn lattice     	sing_1961.htm#IDX849
Brieskorn lattice      	sing_1962.htm#IDX853
Brieskorn lattice       	sing_1963.htm#IDX859
Brieskorn lattice        	sing_1964.htm#IDX867
Brieskorn lattice         	sing_1965.htm#IDX873
Brieskorn lattice          	sing_1966.htm#IDX881
Brieskorn lattice           	sing_1967.htm#IDX891
Brieskorn lattice            	sing_1978.htm#IDX897
Brieskorn lattice             	sing_1980.htm#IDX908
Brieskorn lattice              	sing_2008.htm#IDX935
Brill-Noether algorithm	sing_2273.htm#IDX962
BrillNoether	sing_2276.htm#SEC2357
Buchberger algorithm for toric ideals	sing_1006.htm#SEC1068
Budur-Mustata-Saito approach	sing_608.htm#IDX381
Building Singular	sing_3108.htm#SEC3211
C programming language	sing_420.htm#SEC460
C, module ordering	sing_987.htm#IDX478
CGS	sing_1051.htm#IDX491
CGS, disjoint, reduced, comprehensive Groebner system	sing_1122.htm#IDX568
CM_regularity	sing_1842.htm#SEC1923
CMtype	sing_2053.htm#SEC2134
CRHT-ideal	sing_1012.htm#SEC1081
CSMA	sing_1656.htm#SEC1737
CYGWIN and ESingular	sing_23.htm#SEC33
Castelnuovo-Mumford regularity	sing_1842.htm#IDX784
Category string	sing_51.htm#SEC88
CenCharDec	sing_653.htm#SEC707
Center	sing_1780.htm#SEC1861
CenterBO	sing_1787.htm#SEC1868
CentralQuot	sing_651.htm#SEC705
CentralSaturation	sing_652.htm#SEC706
Change of rings	sing_9.htm#SEC15
Characteristic sets	sing_996.htm#SEC1058
CharacteristicExponents	sing_1941.htm#SEC2022
ChernClass	sing_1813.htm#SEC1894
ChernRootsDual	sing_1612.htm#SEC1693
ChernRootsHom	sing_1621.htm#SEC1702
ChernRootsProd	sing_1614.htm#SEC1695
ChernRootsSum	sing_1610.htm#SEC1691
ChernRootsSymm	sing_1623.htm#SEC1704
ChernRootsWedge	sing_1624.htm#SEC1705
Chevalley-Rosenlicht theorem	sing_1719.htm#IDX729
Chevalley-Rosenlicht theorem 	sing_1720.htm#IDX732
Chow ring, abstract variety, projective space, Grassmannian	sing_1804.htm#IDX765
ChowRing	sing_1804.htm#SEC1885
Classification of hypersurface singularities	sing_967.htm#SEC1024
Classification of singularities	sing_2025.htm#IDX936
Code	sing_1011.htm#SEC1074
Codes and the decoding problem	sing_1011.htm#SEC1073
Coding theory	sing_2272.htm#SEC2353
Coefficient rings	sing_3106.htm#SEC3204
Command line options	sing_19.htm#SEC26
Commands	sing_212.htm#SEC252
Commands for user defined types	sing_192.htm#SEC232
Commutative Algebra	sing_946.htm#SEC1003
Commutative algebra	sing_1249.htm#SEC1330
CompDecomp	sing_506.htm#SEC560
CompInt	sing_2481.htm#SEC2562
CompleteHomog	sing_1600.htm#SEC1681
ComplexValue	sing_2864.htm#SEC2945
Comprehensive Groebner System	sing_1051.htm#IDX494
Comprehensive Groebner Systems	sing_1049.htm#SEC1130
Comprehensive Groebner Systems 	sing_1114.htm#SEC1195
Computing Groebner and Standard Bases	sing_942.htm#SEC999
ConsLevels	sing_1071.htm#SEC1152
ContactMatrix	sing_1943.htm#SEC2024
Conti-Traverso algorithm	sing_1001.htm#SEC1063
Contributors	sing_1.htm#IDX15
Control structures	sing_388.htm#SEC428
Control theory	sing_2306.htm#SEC2387
Cooper philosophy	sing_1012.htm#SEC1079
CoverMult	sing_3080.htm#SEC3161
Crep	sing_1054.htm#SEC1135
Critical points	sing_961.htm#SEC1018
CurveParam	sing_1937.htm#SEC2018
CurveRes	sing_1936.htm#SEC2017
Curves	sing_1725.htm#IDX741
Customization of the Emacs interface	sing_25.htm#SEC36
Cyclic code	sing_2287.htm#IDX969
Cyclic roots	sing_939.htm#SEC996
D-integration	sing_568.htm#IDX363
D-localization	sing_568.htm#IDX359
D-localization 	sing_675.htm#IDX398
D-module	sing_509.htm#IDX327
D-module 	sing_544.htm#IDX342
D-module  	sing_568.htm#IDX356
D-module   	sing_600.htm#IDX368
D-module    	sing_608.htm#IDX375
D-module     	sing_675.htm#IDX395
D-module      	sing_785.htm#IDX413
D-module structure	sing_544.htm#IDX343
D-module structure 	sing_600.htm#IDX371
D-module structure  	sing_608.htm#IDX376
D-restriction	sing_568.htm#IDX361
DBM links	sing_127.htm#SEC167
DISPLAY environment variable	sing_16.htm#IDX28
DLoc	sing_571.htm#SEC625
DLoc0	sing_573.htm#SEC627
Data types	sing_72.htm#SEC112
Data types (plural)	sing_433.htm#IDX313
Debugging tools	sing_63.htm#SEC100
Decker, Wolfram	sing_1.htm#IDX17
Declaration of objects of a user defined type	sing_190.htm#SEC230
Decoding	sing_2287.htm#IDX971
Decoding codes with Groebner bases	sing_1010.htm#SEC1072
Decoding method based on quadratic equations	sing_1015.htm#SEC1090
Definition of a user defined type	sing_189.htm#SEC229
Deformations	sing_964.htm#SEC1021
Deformations, T1 and T2	sing_963.htm#SEC1020
Deg	sing_1374.htm#SEC1455
Degree	sing_1375.htm#SEC1456
DegreePure	sing_1704.htm#SEC1785
Degrees	sing_1376.htm#SEC1457
Delta	sing_1788.htm#SEC1869
DeltaList	sing_1789.htm#SEC1870
Demo mode	sing_24.htm#SEC35
Depth	sing_953.htm#SEC1010
Determinacy	sing_2028.htm#IDX940
Di Biase-Urbanke algorithm	sing_1004.htm#SEC1066
DifConsLCSets	sing_1074.htm#SEC1155
Distributed computing	sing_1085.htm#IDX559
Dlocalization	sing_676.htm#SEC730
Documentation Tool	sing_60.htm#SEC97
Dp, global ordering	sing_985.htm#IDX461
DrawCovers	sing_3089.htm#SEC3170
Ds, local ordering	sing_986.htm#IDX471
DsingularLocus	sing_680.htm#SEC734
Dynamic loading	sing_71.htm#SEC111
Dynamic modules	sing_941.htm#SEC998
ECPP	sing_2383.htm#SEC2464
ECoef	sing_1747.htm#SEC1828
EOrdlist	sing_1745.htm#SEC1826
ERROR	sing_243.htm#SEC283
ESingular, CYGWIN	sing_23.htm#SEC33
Edatalist	sing_1744.htm#SEC1825
Edelman-Reiner	sing_2668.htm#IDX1053
Editing SINGULAR input files with Emacs	sing_26.htm#SEC37
Editing input	sing_18.htm#SEC25
Elimination	sing_949.htm#SEC1006
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_1749.htm#SEC1830
Enumerative geometry	sing_1800.htm#IDX758
Equal	sing_1703.htm#SEC1784
Eresol	sing_1739.htm#SEC1820
EulerAff	sing_1657.htm#SEC1738
EulerProj	sing_1658.htm#SEC1739
Evaluation of logical expressions	sing_422.htm#SEC462
Examples	sing_931.htm#SEC988
Examples of ring declarations	sing_29.htm#SEC40
Examples of use of LETTERPLACE	sing_807.htm#SEC861
Examples of use of LETTERPLACE over Z	sing_808.htm#SEC862
Exp for matrices	sing_1721.htm#IDX733
Experimental libraries	sing_2752.htm#SEC2833
Ext	sing_1330.htm#SEC1411
Ext, computation of	sing_952.htm#SEC1009
Ext_R	sing_1329.htm#SEC1410
Exterior	sing_744.htm#SEC798
Extra weight vector	sing_990.htm#SEC1047
Factorization	sing_954.htm#SEC1011
FamElemsAtEnvCompPoints	sing_1065.htm#SEC1146
Feynman graph	sing_1298.htm#IDX616
Feynman graph 	sing_3076.htm#IDX1306
Feynman integral	sing_3076.htm#IDX1307
Feynman integral of a graph for a fixed ordering	sing_3086.htm#IDX1325
Feynman integrals	sing_3088.htm#IDX1330
FeynmanIntegralA	sing_3088.htm#SEC3169
FeynmanIntegralO	sing_3087.htm#SEC3168
FeynmanIntegralo	sing_3086.htm#SEC3167
Finite fields	sing_948.htm#SEC1005
First steps	sing_6.htm#SEC12
Fitzgerald-Lax method	sing_1014.htm#SEC1087
Float	sing_258.htm#SEC298
FloorDiagrams	sing_3084.htm#SEC3165
Flow control	sing_40.htm#SEC70
Formal Checker	sing_59.htm#SEC96
Formatting output	sing_938.htm#SEC995
Free associative algebras	sing_828.htm#SEC882
Free resolution	sing_950.htm#SEC1007
Free resolution, graded	sing_951.htm#SEC1008
FultonA	sing_1655.htm#SEC1736
Functional decomposition	sing_1280.htm#IDX607
Functionality and release notes of LETTERPLACE	sing_809.htm#SEC863
Functions	sing_213.htm#SEC253
Functions (letterplace)	sing_811.htm#SEC865
Future benefits of Singular 4	sing_3106.htm#SEC3209
G-algebra	sing_497.htm#SEC537
G-algebra 	sing_497.htm#SEC539
G-algebra  	sing_668.htm#IDX383
G-algebra   	sing_669.htm#IDX390
G-algebra, setup	sing_497.htm#SEC541
GBWeight	sing_574.htm#SEC628
GBsolve	sing_2146.htm#SEC2227
GIT-Fans	sing_973.htm#SEC1030
GITcone	sing_2548.htm#SEC2629
GITfan	sing_2549.htm#SEC2630
GITfanFromOrbitCones	sing_2550.htm#SEC2631
GITfanParallel	sing_2551.htm#SEC2632
GITfanParallelSymmetric	sing_2566.htm#SEC2647
GITfanSymmetric	sing_2565.htm#SEC2646
GKExp	sing_673.htm#SEC727
GKZfan	sing_2552.htm#SEC2633
GKZsystem	sing_649.htm#SEC703
GKdim	sing_622.htm#SEC676
GMP	sing_1.htm#IDX3
GMP 	sing_3110.htm#SEC3213
GND.lib	sing_2869.htm#SEC2950
GND_lib	sing_2869.htm#SEC2950
GTZmod	sing_1436.htm#SEC1517
GTZopt	sing_1443.htm#SEC1524
G_a -Invariants	sing_970.htm#SEC1027
Gamma	sing_1754.htm#SEC1835
Gauss-Manin connection	sing_997.htm#SEC1059
Gauss-Manin connection 	sing_2008.htm#IDX934
Gauss-Manin connection  	sing_2062.htm#IDX944
Gauss-Manin system	sing_1956.htm#IDX824
Gauss-Manin system 	sing_1957.htm#IDX835
Gauss-Manin system  	sing_1958.htm#IDX838
Gauss-Manin system   	sing_1959.htm#IDX841
Gauss-Manin system    	sing_1960.htm#IDX844
Gauss-Manin system     	sing_1961.htm#IDX848
Gauss-Manin system      	sing_1962.htm#IDX852
Gauss-Manin system       	sing_1963.htm#IDX858
Gauss-Manin system        	sing_1964.htm#IDX866
Gauss-Manin system         	sing_1965.htm#IDX872
Gauss-Manin system          	sing_1966.htm#IDX880
Gauss-Manin system           	sing_1967.htm#IDX890
Gauss-Manin system            	sing_1978.htm#IDX896
Gauss-Manin system             	sing_1980.htm#IDX907
Gelfand-Kirillov dimension	sing_870.htm#IDX435
Gelfand-Kirillov dimension, G-Algebra	sing_673.htm#IDX391
General command syntax	sing_35.htm#SEC59
General concepts	sing_12.htm#SEC18
General purpose	sing_1022.htm#SEC1103
General syntax of a ring declaration	sing_30.htm#SEC41
Generalized Hilbert Syzygy Theorem	sing_499.htm#SEC551
Generalized Newton identities	sing_1013.htm#SEC1084
Geometric Invariant Theory	sing_972.htm#SEC1029
Geometric Theorems	sing_1070.htm#IDX544
Geometric genus	sing_1725.htm#IDX745
German Umlaute	sing_418.htm#IDX297
Getting started	sing_5.htm#SEC11
Global orderings	sing_985.htm#SEC1042
Goettsche's formula	sing_1680.htm#IDX707
GoettscheF	sing_1681.htm#SEC1762
Graded commutative algebras	sing_805.htm#SEC859
Grassmannian	sing_1805.htm#SEC1886
Grassmannian, abstract variety, Schubert calculus	sing_1805.htm#IDX766
Greuel, Gert-Martin	sing_1.htm#IDX18
Grob1Levels	sing_1073.htm#SEC1154
Groebner Bases	sing_942.htm#SEC999
Groebner bases for two-sided ideals in free associative algebras	sing_830.htm#SEC884
Groebner bases in G-algebras	sing_498.htm#SEC542
Groebner bases in free associative algebras	sing_830.htm#SEC884
Groebner bases, decodeGB	sing_2287.htm#IDX973
Groebner bases, slim	sing_945.htm#SEC1002
Groebner basis conversion	sing_944.htm#SEC1001
Groebner cover	sing_1050.htm#IDX487
Groebner cover 	sing_1057.htm#IDX506
Groebner cover  	sing_1058.htm#IDX513
Groebner fan	sing_2573.htm#IDX990
Groebner walk	sing_1321.htm#IDX639
Groebner walk 	sing_1323.htm#IDX641
Groebner walk  	sing_3019.htm#IDX1281
Groebner walk   	sing_3020.htm#IDX1282
Groebner-Shirshov bases	sing_830.htm#SEC884
Groebner-Shirshov bases in free associative algebras	sing_830.htm#SEC884
Groebnerwalk	sing_1317.htm#IDX635
Groebnerwalk 	sing_2926.htm#IDX1265
Groebnerwalk  	sing_3018.htm#IDX1280
Groebnerwalk   	sing_3053.htm#IDX1295
Gromov-Witten invariants	sing_1298.htm#IDX613
Gromov-Witten invariants 	sing_1304.htm#IDX624
Gromov-Witten invariants  	sing_1305.htm#IDX628
Gromov-Witten invariants   	sing_3076.htm#IDX1303
Gromov-Witten invariants    	sing_3088.htm#IDX1329
Gromov-Witten invariants, lines on hypersurfaces	sing_1830.htm#IDX778
Gromov-Witten invariants, multiple covers	sing_1829.htm#IDX777
Gromov-Witten invariants, rational curves on Calabi-Yau threefolds	sing_1831.htm#IDX779
Gromov-Witten invariants, rational curves on Calabi-Yau threefolds 	sing_1832.htm#IDX780
Gromov-Witten invariants.	sing_1800.htm#IDX761
Gweights	sing_738.htm#SEC792
H2basis	sing_2013.htm#SEC2094
HHnormalForm	sing_1917.htm#SEC1998
Hamburger-Noether expansion	sing_1861.htm#IDX788
Hamburger-Noether expansion 	sing_1981.htm#IDX916
Hamburger-Noether expansions	sing_2274.htm#IDX963
Handling graded modules	sing_951.htm#SEC1008
Hcode	sing_1893.htm#SEC1974
Help string	sing_45.htm#SEC82
Hensel	sing_248.htm#SEC288
Hilbert function	sing_366.htm#IDX195
Hilbert function 	sing_668.htm#IDX384
Hilbert function  	sing_669.htm#IDX388
Hilbert function   	sing_994.htm#SEC1053
Hilbert polynomial	sing_668.htm#IDX386
Hilbert scheme	sing_1680.htm#IDX710
Hilbert series	sing_668.htm#IDX385
Hilbert series 	sing_669.htm#IDX389
Hilbert series  	sing_834.htm#IDX426
Hilbert series   	sing_994.htm#SEC1053
Hilbert-driven GB algorithm	sing_944.htm#SEC1001
HilbertClassPoly	sing_2030.htm#SEC2111
HilbertSeries	sing_2115.htm#SEC2196
HilbertWeights	sing_2116.htm#SEC2197
Hodge ideals	sing_2906.htm#IDX1257
Hom	sing_1333.htm#SEC1414
HomJJ	sing_1473.htm#SEC1554
Hosten-Sturmfels algorithm	sing_1003.htm#SEC1065
How to enter and exit	sing_14.htm#SEC20
How to use this manual	sing_4.htm#SEC6
Hurwitz numbers	sing_1304.htm#IDX627
Hurwitz numbers 	sing_1305.htm#IDX631
Hypersurface singularities, classification of	sing_967.htm#SEC1024
I-regular function	sing_1057.htm#IDX512
IN	sing_288.htm#IDX151
Ideal membership	sing_993.htm#IDX483
Identifiers, syntax of	sing_37.htm#SEC65
ImageGroup	sing_2118.htm#SEC2199
ImageVariety	sing_2117.htm#SEC2198
Imap, option	sing_324.htm#IDX181
Implemented algorithms	sing_33.htm#SEC47
Incl	sing_1702.htm#SEC1783
Index	sing_3116.htm#SEC3219
Info string	sing_52.htm#SEC89
InterDiv	sing_1770.htm#SEC1851
Interactive use	sing_13.htm#SEC19
Interrupting SINGULAR	sing_17.htm#SEC24
IntersectWithSub	sing_654.htm#SEC708
Intersection theory	sing_1800.htm#IDX757
IntersectionMatrix	sing_1942.htm#SEC2023
Introduction	sing_2.htm#SEC4
Invariant Theory	sing_969.htm#SEC1026
Invariant theory	sing_2067.htm#SEC2148
InvariantQ	sing_2120.htm#SEC2201
InvariantRing	sing_2119.htm#SEC2200
Invariants of a finite group	sing_971.htm#SEC1028
Invariants of plane curve singularities	sing_965.htm#SEC1022
IsSCA	sing_759.htm#SEC813
J-marked schemes	sing_1852.htm#IDX786
J-marked schemes, Borel ideals	sing_1857.htm#IDX787
JMBTest.lib	sing_1852.htm#SEC1933
JMBTest_lib	sing_1852.htm#SEC1933
JMSConst.lib	sing_1857.htm#SEC1938
JMSConst_lib	sing_1857.htm#SEC1938
JMarkedScheme	sing_1859.htm#SEC1940
Jacobi	sing_2356.htm#SEC2437
Jacobson form	sing_2324.htm#IDX974
Jacobson normal form	sing_2324.htm#IDX975
Janet basis	sing_1573.htm#IDX688
Janet division, Janet basis	sing_1572.htm#IDX687
JuReTopDim	sing_1712.htm#SEC1793
JuReZeroDim	sing_1713.htm#SEC1794
Jumping numbers	sing_2906.htm#IDX1260
K-basis	sing_834.htm#IDX424
K-dimension	sing_834.htm#IDX425
KScoef	sing_2006.htm#SEC2087
KSconvert	sing_2004.htm#SEC2085
KSker	sing_2003.htm#SEC2084
KSlinear	sing_2005.htm#SEC2086
KSpencerKernel	sing_2060.htm#SEC2141
KeneshlouMatrixPresentation	sing_2888.htm#SEC2969
Ker	sing_1380.htm#SEC1461
Kernel of module homomorphisms	sing_957.htm#SEC1014
KoszulHomology	sing_1342.htm#SEC1423
Kronecker module	sing_1680.htm#IDX709
Kronecker product	sing_370.htm#SEC410
L, ordering	sing_991.htm#SEC1048
LETTERPLACE	sing_806.htm#SEC860
LETTERPLACE libraries	sing_833.htm#SEC887
LIB	sing_292.htm#SEC332
LIB commands	sing_53.htm#SEC90
LIBs	sing_1018.htm#SEC1099
LLL	sing_368.htm#IDX227
LOT algorithm	sing_544.htm#IDX355
LRcoef	sing_2913.htm#SEC2994
LRcoprod	sing_2916.htm#SEC2997
LRinstall	sing_2912.htm#SEC2993
LRmult	sing_2915.htm#SEC2996
LRschubmult	sing_2917.htm#SEC2998
LRskew	sing_2914.htm#SEC2995
LTGS	sing_3023.htm#SEC3104
LU-decomposition of a matrix of numbers	sing_297.htm#SEC337
Laurent series	sing_1302.htm#IDX621
Laurent series 	sing_1303.htm#IDX623
Left and two-sided Groebner bases	sing_975.htm#SEC1032
Left ideal membership (plural)	sing_498.htm#SEC545
Left normal form	sing_498.htm#SEC544
Leinartas	sing_2983.htm#IDX1271
LengthSym	sing_802.htm#SEC856
LengthSymElement	sing_801.htm#SEC855
Letterplace	sing_806.htm#SEC860
Letterplace Groebner basis	sing_834.htm#IDX423
Letterplace Groebner basis 	sing_870.htm#IDX433
Letterplace Groebner basis  	sing_879.htm#IDX442
Letterplace correspondence	sing_832.htm#SEC886
Letterplace libraries	sing_833.htm#SEC887
Letterplace ring	sing_364.htm#SEC404
Levels	sing_1072.htm#SEC1153
Lexicographic Groebner bases, computation of	sing_944.htm#SEC1001
Libraries	sing_48.htm#SEC85
Libraries 	sing_934.htm#SEC991
Libraries in the SINGULAR Documentation	sing_49.htm#SEC86
Library versioning	sing_3106.htm#SEC3207
Lie	sing_2841.htm#IDX1248
Lie algebra	sing_1720.htm#IDX730
Lie bracket	sing_467.htm#SEC507
Lie group	sing_1723.htm#IDX735
Lie group 	sing_1724.htm#IDX738
Limitations	sing_418.htm#SEC458
Linear algebra	sing_1190.htm#SEC1271
Linear code	sing_2287.htm#IDX970
LinearActionQ	sing_2122.htm#SEC2203
LinearCombinationQ	sing_2123.htm#SEC2204
LinearizeAction	sing_2121.htm#SEC2202
Loading a library	sing_62.htm#SEC99
Local orderings	sing_986.htm#SEC1043
Log for matrices	sing_1722.htm#IDX734
Long coefficients	sing_936.htm#SEC993
M, ordering	sing_988.htm#SEC1045
MPGS	sing_3049.htm#SEC3130
MSGB	sing_3052.htm#SEC3133
MSPOLY	sing_3051.htm#SEC3132
MVComplex	sing_1661.htm#SEC1742
Macdonald's formula	sing_1680.htm#IDX708
MacdonaldF	sing_1687.htm#SEC1768
Macintosh installation	sing_3115.htm#SEC3218
Mathematical background	sing_992.htm#SEC1049
Mathematical background (letterplace)	sing_827.htm#SEC881
Mathematical background (plural)	sing_496.htm#SEC536
Matrix orderings	sing_988.htm#SEC1045
Max	sing_2022.htm#SEC2103
Maximus	sing_1854.htm#SEC1935
Maxord	sing_1753.htm#SEC1834
MillerRabin	sing_2366.htm#SEC2447
Milnor code	sing_1879.htm#IDX814
Milnor number	sing_960.htm#SEC1017
Milnor number 	sing_2027.htm#IDX939
Min	sing_2023.htm#SEC2104
MinMult	sing_2480.htm#SEC2561
MinimalDecomposition	sing_2124.htm#SEC2205
Minimum distance	sing_2287.htm#IDX972
Minimus	sing_1853.htm#SEC1934
Miscellaneous libraries	sing_2639.htm#SEC2720
ModEqn	sing_2016.htm#SEC2097
Modular techniques	sing_1085.htm#IDX556
Module orderings	sing_987.htm#SEC1044
Modules and and their annihilator	sing_10.htm#SEC16
Monodromy	sing_2008.htm#IDX932
Monomial orderings	sing_982.htm#SEC1039
Monomial orderings on free algebras	sing_829.htm#SEC883
Monomial orderings, Term orderings	sing_31.htm#SEC44
Mori dream spaces	sing_2789.htm#IDX1149
Morse lemma	sing_2026.htm#IDX937
Morse lemma 	sing_2029.htm#IDX941
MultiplicitySequence	sing_1940.htm#SEC2021
Multiplier ideals	sing_2906.htm#IDX1259
NF	sing_344.htm#SEC384
NF (letterplace)	sing_820.htm#SEC874
NF (plural)	sing_488.htm#SEC528
NFMora	sing_2432.htm#SEC2513
NPos	sing_1461.htm#SEC1542
NPos_test	sing_1459.htm#SEC1540
NSplaces	sing_2275.htm#SEC2356
NTL	sing_1.htm#IDX4
NakYoshF	sing_1684.htm#SEC1765
Names	sing_37.htm#SEC65
Names in procedures	sing_46.htm#SEC83
Names, indexed	sing_37.htm#SEC65
New orderings for modules	sing_3106.htm#SEC3208
Newton non-degenerate	sing_1995.htm#IDX930
Newton polygon	sing_1994.htm#IDX929
Newton polygon 	sing_1995.htm#IDX931
Newton polygons	sing_2630.htm#IDX995
Newton polytope	sing_2573.htm#IDX989
Newton step	sing_2212.htm#IDX958
Noether position	sing_1461.htm#IDX651
NoetherPosition	sing_1450.htm#SEC1531
Non-commutative algebra	sing_974.htm#SEC1031
Non-commutative algebra 	sing_1009.htm#SEC1071
Non-commutative subsystem	sing_431.htm#SEC471
Nonhyp	sing_1742.htm#SEC1823
Normalization	sing_956.htm#SEC1013
Notes for Singular users	sing_3106.htm#SEC3203
Notes for developers	sing_3107.htm#SEC3210
NullCone	sing_2125.htm#SEC2206
NumIrrDecom	sing_1716.htm#SEC1797
NumLocalDim	sing_1705.htm#SEC1786
NumPrimDecom	sing_1718.htm#SEC1799
Oaku-Takayama algorithm	sing_544.htm#IDX353
Objects	sing_38.htm#SEC66
Orlik-Solomon	sing_2669.htm#IDX1054
Output	sing_1390.htm#IDX648
Output 	sing_2694.htm#IDX1089
Output  	sing_2696.htm#IDX1090
Output   	sing_2697.htm#IDX1091
Output    	sing_2698.htm#IDX1092
Output     	sing_2699.htm#IDX1093
Output      	sing_2700.htm#IDX1094
Output       	sing_2701.htm#IDX1095
Output        	sing_2702.htm#IDX1096
Output         	sing_2703.htm#IDX1097
Output          	sing_2704.htm#IDX1098
Output           	sing_2705.htm#IDX1099
Output            	sing_2706.htm#IDX1100
Output             	sing_2707.htm#IDX1101
Output              	sing_2708.htm#IDX1102
Output               	sing_2709.htm#IDX1103
Output                	sing_2710.htm#IDX1104
Output                 	sing_2711.htm#IDX1105
Output                  	sing_2712.htm#IDX1106
Output                   	sing_2713.htm#IDX1107
Output                    	sing_2714.htm#IDX1108
Output                     	sing_2715.htm#IDX1109
Output                      	sing_2716.htm#IDX1110
Output                       	sing_2717.htm#IDX1111
Output                        	sing_2718.htm#IDX1112
Output, formatting of	sing_938.htm#SEC995
PBW	sing_523.htm#IDX341
PBW basis	sing_497.htm#SEC538
PBW_eqDeg	sing_541.htm#SEC595
PBW_maxDeg	sing_542.htm#SEC596
PBW_maxMonom	sing_543.htm#SEC597
PEsolve	sing_2144.htm#SEC2225
PH_ais	sing_2722.htm#SEC2803
PH_nais	sing_2723.htm#SEC2804
PLURAL	sing_432.htm#SEC472
PLURAL LIBs	sing_501.htm#SEC555
PLURAL libraries	sing_501.htm#SEC555
PPolyH	sing_1682.htm#SEC1763
PPolyN	sing_1690.htm#SEC1771
PPolyQp	sing_1685.htm#SEC1766
PPolyS	sing_1688.htm#SEC1769
ParToVar	sing_2866.htm#SEC2947
Parallelization	sing_940.htm#SEC997
Parallelization 	sing_1085.htm#IDX557
Parameter list	sing_44.htm#SEC81
Parameters	sing_937.htm#SEC994
Parametrization	sing_1725.htm#IDX742
Parametrization, image.	sing_1735.htm#IDX754
PartC	sing_1651.htm#SEC1732
PartitionVar	sing_2863.htm#SEC2944
Path names	sing_3106.htm#SEC3206
PerfectPowerTest	sing_2342.htm#SEC2423
Perturbation walk	sing_1322.htm#IDX640
Pfister, Gerhard	sing_1.htm#IDX19
Pipe links	sing_126.htm#SEC166
PocklingtonLehmer	sing_2368.htm#SEC2449
Poincare polynomial	sing_2681.htm#IDX1078
Polar curves	sing_962.htm#SEC1019
PollardRho	sing_2369.htm#SEC2450
PolyBoRi, Boolean Groebner Basis	sing_2725.htm#IDX1120
PolyBoRi, Boolean Groebner Basis 	sing_2727.htm#IDX1121
PolyBoRi, Boolean Groebner Basis  	sing_2728.htm#IDX1122
PolyBoRi, Boolean Groebner Basis   	sing_2729.htm#IDX1123
PolyBoRi, Boolean Groebner Basis    	sing_2730.htm#IDX1124
PolyBoRi, Boolean Groebner Basis     	sing_2731.htm#IDX1125
PolyBoRi, Boolean Groebner Basis      	sing_2732.htm#IDX1126
PolyBoRi, Boolean Groebner Basis       	sing_2733.htm#IDX1127
PolyBoRi, Boolean Groebner Basis        	sing_2734.htm#IDX1128
PolyBoRi, Boolean Groebner Basis         	sing_2735.htm#IDX1129
PolyBoRi, Boolean Groebner Basis          	sing_2736.htm#IDX1130
PolyBoRi, Boolean Groebner Basis           	sing_2737.htm#IDX1131
PolyBoRi, Boolean Groebner Basis            	sing_2738.htm#IDX1132
PolyBoRi, Boolean Groebner Basis             	sing_2739.htm#IDX1133
PolyBoRi, Boolean Groebner Basis              	sing_2741.htm#IDX1135
PolyBoRi, zero-supressed decision diagram	sing_2740.htm#IDX1134
Polybori, Boolean Groebner Basis	sing_2742.htm#IDX1136
Polynomial data	sing_980.htm#SEC1037
Pottier algorithm	sing_1002.htm#SEC1064
Preface	sing_1.htm#SEC1
Prep	sing_1055.htm#SEC1136
Primary decomposition	sing_955.htm#SEC1012
PrimdecA	sing_1432.htm#SEC1513
PrimdecB	sing_1433.htm#SEC1514
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_934.htm#SEC991
Procedures in a library	sing_54.htm#SEC91
Product orderings	sing_989.htm#SEC1046
Programming	sing_932.htm#SEC989
PropagatorFunction	sing_3085.htm#SEC3166
Pseudo ordering L	sing_991.htm#SEC1048
PtoCrep	sing_1056.htm#SEC1137
Puiseux expansion	sing_1861.htm#IDX789
Puiseux expansion 	sing_1981.htm#IDX917
Puiseux expansions	sing_3008.htm#IDX1273
Puiseux pairs	sing_965.htm#SEC1022
Puiseux pairs 	sing_1987.htm#IDX922
QPoly, quotient ring.	sing_3044.htm#IDX1290
QQ	sing_28.htm#SEC39
QQ 	sing_75.htm#SEC115
Qso3Casimir	sing_648.htm#SEC702
Quot-scheme	sing_1680.htm#IDX711
Quotient	sing_2230.htm#SEC2311
QuotientEquations	sing_2017.htm#SEC2098
Rational curves	sing_1725.htm#IDX743
ReJunkUseHomo	sing_1711.htm#SEC1792
Reduced Comprehensive Groebner Systems	sing_1114.htm#SEC1195
ReesAlgebra	sing_1567.htm#SEC1648
References	sing_1017.htm#SEC1096
References (plural)	sing_500.htm#SEC552
References and history of LETTERPLACE	sing_810.htm#SEC864
Release Notes	sing_3102.htm#SEC3183
Release Notes (letterplace)	sing_930.htm#SEC984
Res	sing_1370.htm#SEC1451
ResTree	sing_1771.htm#SEC1852
Resolution	sing_11.htm#SEC17
Resolution of singularities	sing_968.htm#SEC1025
Resolution, free	sing_950.htm#SEC1007
ReynoldsImage	sing_2126.htm#SEC2207
ReynoldsOperator	sing_2127.htm#SEC2208
RiemannRochBN	sing_1596.htm#SEC1677
RiemannRochHess	sing_1700.htm#SEC1781
Right Groebner bases and syzygies	sing_976.htm#SEC1033
Right ideal membership (plural)	sing_498.htm#SEC546
Ring-dependent options	sing_3106.htm#SEC3205
Rings and orderings	sing_28.htm#SEC39
Rings and standard bases	sing_7.htm#SEC13
Running SINGULAR under Emacs	sing_23.htm#SEC30
S-function	sing_3083.htm#IDX1318
SCA	sing_805.htm#SEC859
SDB breakpoint	sing_66.htm#SEC106
SDB debugger	sing_66.htm#SEC106
SDLoc	sing_572.htm#SEC626
SGB	sing_3026.htm#SEC3107
SGNF	sing_3024.htm#SEC3105
SINGULAR libraries	sing_1018.htm#SEC1099
SINGULARHIST	sing_18.htm#SEC25
SL	sing_2130.htm#SEC2211
SLreynolds	sing_2136.htm#SEC2217
SNF	sing_3050.htm#SEC3131
SPOLY	sing_3025.htm#SEC3106
SV-decoding algorithm	sing_2282.htm#IDX966
SV-decoding algorithm, preprocessing	sing_2281.htm#IDX965
Sagbi basis, initial algebra, defining ideal.	sing_3027.htm#IDX1284
SaitoBase	sing_3096.htm#SEC3177
Sannfs	sing_548.htm#SEC602
SannfsBFCT	sing_557.htm#SEC611
SannfsVar	sing_611.htm#SEC665
Sannfslog	sing_549.htm#SEC603
Saturation	sing_947.htm#SEC1004
Sch@"onemann, Hans	sing_1.htm#IDX20
Schoof	sing_2380.htm#SEC2461
Schubert calculus	sing_1800.htm#IDX759
SchubertClass	sing_1837.htm#SEC1918
SchurCh	sing_1648.htm#SEC1729
SchurS	sing_1647.htm#SEC1728
SegreA	sing_1654.htm#SEC1735
Semigroup	sing_1924.htm#SEC2005
Serre relations	sing_841.htm#IDX430
SetDeg	sing_1373.htm#SEC1454
Setting up a G-algebra	sing_497.htm#SEC541
Sfunction	sing_3083.htm#SEC3164
ShanksMestre	sing_2379.htm#SEC2460
SimplifyIdeal	sing_2128.htm#SEC2209
Singular	sing_368.htm#IDX265
Singular 3 and Singular 4	sing_3104.htm#SEC3201
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_1709.htm#SEC1790
SingularBin	sing_368.htm#IDX267
SingularLib	sing_368.htm#IDX269
Singularities	sing_1860.htm#SEC1941
Singularity Theory	sing_959.htm#SEC1016
SingularityDBM.lib	sing_1879.htm#SEC1960
SingularityDBM_lib	sing_1879.htm#SEC1960
Skeletons for parallelization	sing_1085.htm#IDX558
Smith form	sing_2324.htm#IDX976
Smith normal form	sing_2324.htm#IDX977
SolowayStrassen	sing_2367.htm#SEC2448
Solving systems of polynomial equations	sing_978.htm#SEC1035
Source	sing_1362.htm#SEC1443
Source code debugger, invocation	sing_19.htm#IDX33
Space curve singularities, branches of	sing_966.htm#SEC1023
Special characters	sing_36.htm#SEC64
Splitting lemma	sing_2026.htm#IDX938
Splitting lemma 	sing_2029.htm#IDX942
Ssi file links	sing_124.htm#SEC164
Ssi links	sing_123.htm#SEC163
Ssi tcp links	sing_125.htm#SEC165
StabEqn	sing_2018.htm#SEC2099
StabEqnId	sing_2019.htm#SEC2100
StabOrder	sing_2020.htm#SEC2101
Standard Bases	sing_942.htm#SEC999
Standard bases	sing_993.htm#SEC1050
Stanely-Reisner ideals, Stanley-Reisner rings, deformations	sing_3041.htm#IDX1287
StartOrderingV	sing_1855.htm#SEC1936
Startup sequence	sing_20.htm#SEC27
StringF	sing_2007.htm#SEC2088
SymGroup	sing_800.htm#SEC854
Symbolic-numerical solving	sing_978.htm#SEC1035
Symbolic-numerical solving 	sing_2141.htm#SEC2222
System and Control theory	sing_2306.htm#SEC2387
System dependent limitations	sing_419.htm#SEC459
System variables	sing_405.htm#SEC445
Syzygies and resolutions	sing_995.htm#SEC1054
Syzygies and resolutions (plural)	sing_499.htm#SEC548
Syzygy bimodule	sing_831.htm#SEC885
T1	sing_963.htm#SEC1020
T1 	sing_3042.htm#SEC3123
T2	sing_963.htm#SEC1020
T2 	sing_3043.htm#SEC3124
TRACE	sing_65.htm#SEC102
TRACE 	sing_414.htm#SEC454
T_1	sing_2047.htm#SEC2128
T_12	sing_2049.htm#SEC2130
T_2	sing_2048.htm#SEC2129
Target	sing_1361.htm#SEC1442
Teaching	sing_2338.htm#SEC2419
Template for writing a library	sing_55.htm#SEC92
TestGRRes	sing_2887.htm#SEC2968
TestJMark	sing_1856.htm#SEC1937
The SINGULAR language	sing_34.htm#SEC56
The Tran algorithm	sing_1319.htm#IDX637
The fractal walk algorithm	sing_1318.htm#IDX636
The fractal walk algorithm 	sing_3021.htm#IDX1283
The online help system	sing_16.htm#SEC22
Tjurina	sing_2045.htm#SEC2126
Tjurina number	sing_960.htm#SEC1017
Tjurina number 	sing_1478.htm#IDX671
Top 20 Emacs commands	sing_27.htm#SEC38
Tor	sing_1344.htm#SEC1425
Toric ideals and integer programming	sing_998.htm#SEC1060
Tricks and pitfalls	sing_417.htm#SEC457
TropCovandMaps	sing_3090.htm#SEC3171
Tropical Geometry	sing_2477.htm#SEC2558
Tropicalcover	sing_3081.htm#SEC3162
Two-sided ideal membership (plural)	sing_498.htm#SEC547
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_1238.htm#SEC1319
Ufnarovski graph	sing_870.htm#IDX438
Unix installation	sing_3113.htm#SEC3216
UpOneMatrix	sing_756.htm#SEC810
UpperMonomials	sing_2021.htm#SEC2102
UseBertini	sing_1708.htm#SEC1789
User defined types	sing_188.htm#SEC228
V-filtration	sing_1956.htm#IDX827
V-filtration 	sing_1962.htm#IDX855
V-filtration  	sing_1963.htm#IDX861
V-filtration   	sing_1964.htm#IDX869
V-filtration    	sing_1965.htm#IDX875
V-filtration     	sing_1966.htm#IDX883
V-filtration      	sing_1967.htm#IDX893
V-filtration       	sing_1978.htm#IDX899
V-filtration        	sing_1980.htm#IDX910
V-filtration         	sing_2906.htm#IDX1258
VarToPar	sing_2865.htm#SEC2946
Variables, indexed	sing_37.htm#SEC65
VecField.lib	sing_3091.htm#SEC3172
VecField_lib	sing_3091.htm#SEC3172
Version number	sing_3105.htm#SEC3202
Version schema for Singular	sing_3105.htm#SEC3202
Version string	sing_50.htm#SEC87
Vfiltration	sing_2907.htm#SEC2988
Visualization	sing_2244.htm#SEC2325
WLCGS	sing_1068.htm#SEC1149
WLemma	sing_1067.htm#SEC1148
WP, global ordering	sing_985.htm#IDX465
WSemigroup	sing_1938.htm#SEC2019
Weierstrass	sing_2277.htm#SEC2358
Weierstrass semigroup	sing_2273.htm#IDX960
Weyl	sing_741.htm#SEC795
Weyl algebra	sing_544.htm#IDX347
Weyl algebra 	sing_600.htm#IDX373
Weyl algebra  	sing_608.htm#IDX379
Weyl closure	sing_675.htm#IDX401
WeylClosure	sing_677.htm#SEC731
WeylClosure1	sing_678.htm#SEC732
Wibmer's Lemma	sing_1067.htm#IDX541
Windows installation	sing_3114.htm#SEC3217
WitSet	sing_1715.htm#SEC1796
WitSupSet	sing_1714.htm#SEC1795
Ws, local ordering	sing_986.htm#IDX477
XLsolve	sing_2147.htm#SEC2228
ZZ	sing_28.htm#SEC39
ZZ 	sing_75.htm#SEC115
ZZ/m	sing_28.htm#SEC39
ZZ/p	sing_28.htm#SEC39
ZZsolve	sing_2148.htm#SEC2229
[	sing_36.htm#IDX83
[]	sing_147.htm#SEC187
[] 	sing_160.htm#SEC200
[]  	sing_181.htm#SEC221
[]   	sing_186.htm#SEC226
\	sing_36.htm#IDX112
]	sing_36.htm#IDX84
^	sing_36.htm#IDX92
^ 	sing_81.htm#SEC121
^  	sing_98.htm#SEC138
^   	sing_152.htm#SEC192
^    	sing_160.htm#SEC200
_	sing_36.htm#IDX116
`	sing_36.htm#IDX105
a, ordering	sing_990.htm#SEC1047
absFactorize	sing_1251.htm#SEC1332
absFactorizeBCG	sing_1252.htm#SEC1333
absPrimdecGTZ	sing_1547.htm#SEC1628
absPrimdecGTZE	sing_1548.htm#SEC1629
absValue	sing_1031.htm#SEC1112
absfact.lib	sing_1250.htm#SEC1331
absfact_lib	sing_1250.htm#SEC1331
absolute factorization.	sing_1250.htm#IDX594
abstract variety, projective space, Grassmannian	sing_1801.htm#IDX762
abstract variety, projective space, Grassmannian 	sing_1802.htm#IDX763
abstractR	sing_1797.htm#SEC1878
actionIsProper	sing_2108.htm#SEC2189
add	sing_2810.htm#IDX1181
add 	sing_2832.htm#IDX1229
addElement	sing_2751.htm#SEC2832
addLeftFractions	sing_772.htm#SEC826
addModules	sing_1382.htm#SEC1463
addNmzOption	sing_1505.htm#SEC1586
addNvarsTo	sing_1174.htm#SEC1255
addPoly	sing_2999.htm#SEC3080
addRat	sing_696.htm#SEC750
addSheaf	sing_1820.htm#SEC1901
addcol	sing_1207.htm#SEC1288
addcores	sing_1143.htm#SEC1224
addnondegeneratevariables	sing_2029.htm#SEC2110
addrow	sing_1208.htm#SEC1289
addvarsTo	sing_1173.htm#SEC1254
ademRelations	sing_845.htm#SEC899
adjoint	sing_1232.htm#SEC1313
adjointIdeal	sing_1726.htm#SEC1807
adjunction divisor	sing_2274.htm#IDX964
admissibleSub	sing_732.htm#SEC786
afaces	sing_2544.htm#SEC2625
affine code	sing_1014.htm#SEC1088
ainvar.lib	sing_2105.htm#SEC2186
ainvar_lib	sing_2105.htm#SEC2186
aksaka.lib	sing_2339.htm#SEC2420
aksaka_lib	sing_2339.htm#SEC2420
alexanderpolynomial	sing_1864.htm#SEC1945
alexpoly.lib	sing_1861.htm#SEC1942
alexpoly_lib	sing_1861.htm#SEC1942
algDependent	sing_1257.htm#SEC1338
alg_kernel	sing_1258.htm#SEC1339
algebra.lib	sing_1253.htm#SEC1334
algebra_containment	sing_1254.htm#SEC1335
algebra_lib	sing_1253.htm#SEC1334
algebraic dependence	sing_783.htm#IDX409
algebraic field extension	sing_1561.htm#IDX681
algebraic statistics	sing_2918.htm#IDX1261
algebraicDependence	sing_1579.htm#SEC1660
algorithm of Bigatti, La Scala and Robbiano	sing_1005.htm#SEC1067
algorithm of Conti and Traverso	sing_1001.htm#SEC1063
algorithm of Di Biase and Urbanke	sing_1004.htm#SEC1066
algorithm of Hosten and Sturmfels	sing_1003.htm#SEC1065
algorithm of Pottier	sing_1002.htm#SEC1064
alias	sing_35.htm#SEC59
align	sing_214.htm#SEC254
all.lib	sing_1023.htm#SEC1104
allDoubleExt	sing_794.htm#SEC848
allExtOfLeft	sing_791.htm#SEC845
allExtOfRight	sing_792.htm#SEC846
allNmzOptions	sing_1503.htm#SEC1584
allPositive	sing_520.htm#SEC574
all_lib	sing_1023.htm#SEC1104
allowing net access	sing_19.htm#IDX41
allprint	sing_1076.htm#SEC1157
allreal	sing_2469.htm#SEC2550
allrealst	sing_2467.htm#SEC2548
allsquarefree	sing_2000.htm#SEC2081
ambientDimension	sing_2486.htm#SEC2567
and	sing_106.htm#SEC146
and 	sing_422.htm#SEC462
annPoly	sing_569.htm#SEC623
annRat	sing_570.htm#SEC624
annRatSyz	sing_685.htm#SEC739
annfalphaI	sing_606.htm#SEC660
annfs	sing_545.htm#SEC599
annfs0	sing_558.htm#SEC612
annfs2	sing_559.htm#SEC613
annfsBMI	sing_555.htm#SEC609
annfsLogIdeal	sing_601.htm#SEC655
annfsParamBM	sing_554.htm#SEC608
annfsRB	sing_560.htm#SEC614
annfspecial	sing_546.htm#SEC600
annfspecialOld	sing_547.htm#SEC601
annihilator of polynomial	sing_568.htm#IDX357
annihilator of rational function	sing_568.htm#IDX358
annihilator of rational function 	sing_675.htm#IDX404
annihilatorMultiFs	sing_602.htm#SEC656
annil	sing_1438.htm#SEC1519
appelF1	sing_587.htm#SEC641
appelF2	sing_588.htm#SEC642
appelF4	sing_589.htm#SEC643
appendDataToSSI	sing_3040.htm#SEC3121
appendWeight2Ord	sing_734.htm#SEC788
application	sing_2838.htm#IDX1244
apply	sing_389.htm#SEC429
applyAdF	sing_536.htm#SEC590
applyMatrix	sing_2154.htm#SEC2235
applyPermutationToIntvec	sing_2569.htm#SEC2650
applyVecField	sing_3092.htm#SEC3173
arcpoint.lib	sing_1874.htm#SEC1955
arcpoint_lib	sing_1874.htm#SEC1955
areEqualLeftFractions	sing_774.htm#SEC828
areZeroElements	sing_2967.htm#SEC3048
argument, default	sing_44.htm#SEC81
argument, optional	sing_44.htm#SEC81
arnold.lib	sing_2753.htm#SEC2834
arnoldClassify	sing_1883.htm#SEC1964
arnoldClassify_to_string	sing_1884.htm#SEC1965
arnoldCorank	sing_1885.htm#SEC1966
arnoldDeterminacy	sing_1886.htm#SEC1967
arnoldListAllSeries	sing_1880.htm#SEC1961
arnoldMilnorCode	sing_1887.htm#SEC1968
arnoldMorseSplit	sing_1888.htm#SEC1969
arnoldNormalForm	sing_1882.htm#SEC1963
arnoldShowSeries	sing_1881.htm#SEC1962
arnold_lib	sing_2753.htm#SEC2834
arnoldclassify.lib	sing_1879.htm#SEC1960
arnoldclassify_lib	sing_1879.htm#SEC1960
arr.lib	sing_2640.htm#SEC2721
arr2multarr	sing_2673.htm#SEC2754
arrBoolean	sing_2662.htm#SEC2743
arrBoundedChambers	sing_2683.htm#SEC2764
arrBraid	sing_2663.htm#SEC2744
arrCenter	sing_2650.htm#SEC2731
arrCentered	sing_2652.htm#SEC2733
arrCentral	sing_2651.htm#SEC2732
arrCentralize	sing_2653.htm#SEC2734
arrChambers	sing_2682.htm#SEC2763
arrCharPoly	sing_2680.htm#SEC2761
arrCone	sing_2656.htm#SEC2737
arrCoordChange	sing_2654.htm#SEC2735
arrCoordNormalize	sing_2655.htm#SEC2736
arrDecone	sing_2657.htm#SEC2738
arrDer	sing_2670.htm#SEC2751
arrEdelmanReiner	sing_2668.htm#SEC2749
arrEssentialize	sing_2661.htm#SEC2742
arrExponents	sing_2672.htm#SEC2753
arrFlats	sing_2677.htm#SEC2758
arrIsEssential	sing_2660.htm#SEC2741
arrIsFree	sing_2671.htm#SEC2752
arrLastVar	sing_2649.htm#SEC2730
arrLattice	sing_2678.htm#SEC2759
arrLocalize	sing_2658.htm#SEC2739
arrOrlikSolomon	sing_2669.htm#SEC2750
arrPoincare	sing_2681.htm#SEC2762
arrPrintMatrix	sing_2645.htm#SEC2726
arrRandom	sing_2666.htm#SEC2747
arrRandomCentral	sing_2667.htm#SEC2748
arrRestrict	sing_2659.htm#SEC2740
arrSet	sing_2641.htm#SEC2722
arrSwapVar	sing_2648.htm#SEC2729
arrTypeB	sing_2664.htm#SEC2745
arrTypeD	sing_2665.htm#SEC2746
arr_lib	sing_2640.htm#SEC2721
arrange	sing_562.htm#SEC616
arrangement	sing_2641.htm#IDX996
arrangement 	sing_2642.htm#IDX1001
arrangement  	sing_2673.htm#IDX1063
arrangement   	sing_2674.htm#IDX1066
ask	sing_2347.htm#SEC2428
assPrimes	sing_1268.htm#SEC1349
assign	sing_2641.htm#IDX998
assignment,custom	sing_193.htm#SEC233
associated tangent	sing_1064.htm#IDX534
associated tangent 	sing_1065.htm#IDX538
assprimeszerodim.lib	sing_1266.htm#SEC1347
assprimeszerodim_lib	sing_1266.htm#SEC1347
attrib	sing_215.htm#SEC255
autGenWeights	sing_2792.htm#SEC2873
autGradAlg	sing_2791.htm#SEC2872
autKS	sing_2790.htm#SEC2871
autX	sing_2795.htm#SEC2876
autXhat	sing_2794.htm#SEC2875
autgradalg.lib	sing_2789.htm#SEC2870
autgradalg_lib	sing_2789.htm#SEC2870
automorphism group	sing_2789.htm#IDX1150
automorphisms	sing_2789.htm#IDX1147
autonom	sing_2311.htm#SEC2392
autonomDim	sing_2312.htm#SEC2393
awalk1	sing_1320.htm#SEC1401
awalk2	sing_1321.htm#SEC1402
b-function	sing_509.htm#IDX330
bFactor	sing_592.htm#SEC646
babyGiant	sing_2364.htm#SEC2445
backward	sing_2852.htm#SEC2933
bareiss	sing_216.htm#SEC256
base2str	sing_1026.htm#SEC1107
basering	sing_28.htm#IDX76
basering 	sing_93.htm#SEC133
basicinvariants	sing_1890.htm#SEC1971
baumslagGroup	sing_847.htm#SEC901
baumslagSolitar	sing_846.htm#SEC900
beilinsonWindow	sing_3069.htm#SEC3150
belongSemigroup	sing_1271.htm#SEC1352
bernstein	sing_1960.htm#SEC2041
bernsteinBM	sing_550.htm#SEC604
bernsteinLift	sing_551.htm#SEC605
bertini	sing_1701.htm#IDX716
bertini 	sing_1706.htm#IDX723
bertini  	sing_2194.htm#IDX955
bertini2Singular	sing_1710.htm#SEC1791
betti	sing_217.htm#SEC257
betti (plural)	sing_466.htm#SEC506
bfct	sing_510.htm#SEC564
bfctAnn	sing_512.htm#SEC566
bfctBound	sing_684.htm#SEC738
bfctIdeal	sing_514.htm#SEC568
bfctOneGB	sing_513.htm#SEC567
bfctSyz	sing_511.htm#SEC565
bfctVarAnn	sing_610.htm#SEC664
bfctVarIn	sing_609.htm#SEC663
bfun.lib	sing_509.htm#SEC563
bfun_lib	sing_509.htm#SEC563
bigger	sing_2817.htm#IDX1195
bigint	sing_78.htm#SEC118
bigint declarations	sing_79.htm#SEC119
bigint expressions	sing_80.htm#SEC120
bigint operations	sing_81.htm#SEC121
bigint related functions	sing_82.htm#SEC122
bigintToBinary	sing_2567.htm#SEC2648
bigintmat	sing_83.htm#SEC123
bigintmat declarations	sing_84.htm#SEC124
bigintmat expressions	sing_85.htm#SEC125
bigintmat operations	sing_87.htm#SEC127
bigintmat type cast	sing_86.htm#SEC126
bigintvec	sing_88.htm#SEC128
bigintvec declarations	sing_89.htm#SEC129
bigintvec expressions	sing_90.htm#SEC130
bigintvec operations	sing_92.htm#SEC132
bigintvec type cast	sing_91.htm#SEC131
bimodules	sing_502.htm#IDX318
bimodules.lib	sing_502.htm#SEC556
bimodules_lib	sing_502.htm#SEC556
binaryToBigint	sing_2568.htm#SEC2649
binary_add	sing_2387.htm#SEC2468
binomial	sing_1032.htm#SEC1113
binomials2intmat	sing_1519.htm#SEC1600
birational map, image, inverse.	sing_1727.htm#IDX748
bistd	sing_503.htm#SEC557
bisyzygies	sing_502.htm#IDX319
bitrinity	sing_504.htm#SEC558
blackbox	sing_197.htm#SEC237
blackbox 	sing_205.htm#SEC245
block	sing_40.htm#SEC70
block 	sing_388.htm#SEC428
blowUp	sing_1778.htm#SEC1859
blowUp2	sing_1779.htm#SEC1860
blowUpBO	sing_1785.htm#SEC1866
blowup0	sing_1288.htm#SEC1369
boolean	sing_2662.htm#IDX1040
boolean expressions	sing_105.htm#SEC145
boolean operations	sing_106.htm#SEC146
boolean_constant	sing_2727.htm#SEC2808
boolean_ideal	sing_2731.htm#SEC2812
boolean_poly	sing_2728.htm#SEC2809
boolean_poly_ring	sing_2726.htm#SEC2807
boolean_set	sing_2732.htm#SEC2813
boolean_std	sing_2725.htm#SEC2806
border basis	sing_1569.htm#IDX683
borderBasis	sing_1570.htm#SEC1651
boundBuFou	sing_2464.htm#SEC2545
boundDes	sing_2466.htm#SEC2547
boundposDes	sing_2465.htm#SEC2546
bounds	sing_2213.htm#SEC2294
bounds2	sing_2151.htm#SEC2232
boxSet	sing_2215.htm#SEC2296
bracket	sing_368.htm#IDX204
bracket 	sing_425.htm#SEC465
bracket  	sing_467.htm#SEC507
braid	sing_2663.htm#IDX1042
branchTo	sing_165.htm#SEC205
break	sing_390.htm#SEC430
break point	sing_404.htm#SEC444
breakpoint	sing_391.htm#SEC431
brillnoether.lib	sing_1595.htm#SEC1676
brillnoether_lib	sing_1595.htm#SEC1676
brnoeth.lib	sing_2273.htm#SEC2354
brnoeth_lib	sing_2273.htm#SEC2354
browser, command line option	sing_19.htm#IDX44
browser, setting the	sing_368.htm#IDX200
browsers	sing_16.htm#IDX21
browsers, setting the	sing_368.htm#IDX199
bubblesort	sing_2350.htm#SEC2431
buildtree	sing_1122.htm#SEC1203
buildtree, Maple	sing_1123.htm#IDX569
buildtree, buildtreetoMaple, CGS	sing_1124.htm#IDX570
buildtreetoMaple	sing_1123.htm#SEC1204
busadj	sing_1230.htm#SEC1311
bvar	sing_2739.htm#SEC2820
c, module ordering	sing_987.htm#IDX480
cProj	sing_1637.htm#SEC1718
calculateI	sing_1752.htm#SEC1833
calculate_max_sum	sing_2406.htm#SEC2487
calculate_ordering	sing_2384.htm#SEC2465
cancelunit, option	sing_324.htm#IDX177
canonMap	sing_1325.htm#SEC1406
canonical	sing_1050.htm#IDX489
canonical form	sing_1054.htm#IDX501
canonical form 	sing_1055.htm#IDX503
canonical form  	sing_1056.htm#IDX505
canonical form   	sing_1071.htm#IDX547
canonical form    	sing_1072.htm#IDX549
canonical form     	sing_1073.htm#IDX552
canonical form      	sing_1074.htm#IDX554
canonical,	sing_1058.htm#IDX515
canonicalizeCone	sing_2487.htm#SEC2568
canonize	sing_2319.htm#SEC2400
cantodiffcgs	sing_1128.htm#SEC1209
cantoradd	sing_2420.htm#SEC2501
cantormult	sing_2423.htm#SEC2504
cantorred	sing_2421.htm#SEC2502
cardGroup	sing_1273.htm#SEC1354
case	sing_423.htm#SEC463
catNets	sing_2694.htm#SEC2775
cccMatrixToPositiveIntvec	sing_2634.htm#SEC2715
cdd	sing_1.htm#IDX10
cddlib	sing_1.htm#IDX11
center	sing_523.htm#IDX337
center 	sing_529.htm#SEC583
center  	sing_2650.htm#IDX1022
center   	sing_2651.htm#IDX1023
center    	sing_2652.htm#IDX1025
center     	sing_2653.htm#IDX1027
centerRed	sing_528.htm#SEC582
centerVS	sing_527.htm#SEC581
central	sing_2644.htm#IDX1008
central 	sing_2651.htm#IDX1024
central  	sing_2653.htm#IDX1026
central   	sing_2667.htm#IDX1051
central.lib	sing_523.htm#SEC577
central1st	sing_2853.htm#SEC2934
central2nd	sing_2854.htm#SEC2935
central_lib	sing_523.htm#SEC577
centralize	sing_523.htm#IDX340
centralizeSet	sing_524.htm#SEC578
centralizer	sing_523.htm#IDX338
centralizer 	sing_530.htm#SEC584
centralizerRed	sing_526.htm#SEC580
centralizerVS	sing_525.htm#SEC579
cf_class	sing_215.htm#IDX132
cf_of	sing_3077.htm#SEC3158
cgs	sing_1025.htm#SEC1106
cgsdr	sing_1051.htm#SEC1132
chAll	sing_1607.htm#SEC1688
chAllInv	sing_1608.htm#SEC1689
chDual	sing_1613.htm#SEC1694
chHE	sing_1609.htm#SEC1690
chHom	sing_1622.htm#SEC1703
chNum	sing_1603.htm#SEC1684
chNumbers	sing_1604.htm#SEC1685
chNumbersProj	sing_1641.htm#SEC1722
chProd	sing_1615.htm#SEC1696
chProdE	sing_1616.htm#SEC1697
chProdL	sing_1617.htm#SEC1698
chProdLP	sing_1618.htm#SEC1699
chProdM	sing_1619.htm#SEC1700
chProdMP	sing_1620.htm#SEC1701
chProj	sing_1638.htm#SEC1719
chSum	sing_1611.htm#SEC1692
chSymm	sing_1625.htm#SEC1706
chSymm2L	sing_1626.htm#SEC1707
chSymm2LP	sing_1627.htm#SEC1708
chWedge	sing_1628.htm#SEC1709
chWedge2L	sing_1629.htm#SEC1710
chWedge2LP	sing_1630.htm#SEC1711
chaincrit	sing_2434.htm#SEC2515
chambers	sing_2682.htm#IDX1079
chambers 	sing_2683.htm#IDX1080
changeCoordinates	sing_3093.htm#SEC3174
changeDenominator	sing_1483.htm#SEC1564
changechar	sing_1148.htm#SEC1229
changeord	sing_1149.htm#SEC1230
changeordTo	sing_1172.htm#SEC1253
changes	sing_3103.htm#SEC3184
changevar	sing_1150.htm#SEC1231
char	sing_218.htm#SEC258
charInfo	sing_585.htm#SEC639
charVariety	sing_584.htm#SEC638
char_series	sing_219.htm#SEC259
characteristic exponents	sing_1868.htm#IDX796
characteristic exponents 	sing_1869.htm#IDX801
characteristic exponents  	sing_1870.htm#IDX804
characteristic exponents   	sing_1871.htm#IDX808
characteristic exponents    	sing_1987.htm#IDX920
characteristic polynomial	sing_2680.htm#IDX1077
characteristic variety	sing_568.htm#IDX365
characteristic variety 	sing_675.htm#IDX400
charexp2conductor	sing_1871.htm#SEC1952
charexp2generators	sing_1869.htm#SEC1950
charexp2inter	sing_1870.htm#SEC1951
charexp2multseq	sing_1868.htm#SEC1949
charexp2poly	sing_1872.htm#SEC1953
charpoly	sing_1231.htm#SEC1312
charstr	sing_220.htm#SEC260
chebyshev	sing_1284.htm#SEC1365
checkFactor	sing_561.htm#SEC615
checkRoot	sing_556.htm#SEC610
checkpfd	sing_2985.htm#SEC3066
checkpfdMat	sing_2993.htm#SEC3074
chern	sing_1602.htm#SEC1683
chern.lib	sing_1597.htm#SEC1678
chernCharPoly	sing_1644.htm#SEC1725
chernPoly	sing_1643.htm#SEC1724
chern_lib	sing_1597.htm#SEC1678
chineseRem	sing_2355.htm#SEC2436
chinrem	sing_221.htm#SEC261
chinrempoly	sing_1454.htm#SEC1535
chinrestp	sing_2414.htm#SEC2495
cimonom.lib	sing_2478.htm#SEC2559
cimonom_lib	sing_2478.htm#SEC2559
cisimplicial.lib	sing_1269.htm#SEC1350
cisimplicial_lib	sing_1269.htm#SEC1350
classSpaceCurve	sing_1919.htm#SEC2000
classification	sing_1879.htm#IDX813
classification 	sing_1907.htm#IDX816
classification  	sing_2753.htm#IDX1140
classify	sing_1891.htm#SEC1972
classify.lib	sing_1889.htm#SEC1970
classify2.lib	sing_1907.htm#SEC1988
classify2_lib	sing_1907.htm#SEC1988
classifyCeq	sing_1921.htm#SEC2002
classifyMapGerms.lib	sing_1925.htm#SEC2006
classifyMapGerms_lib	sing_1925.htm#SEC2006
classifySimpleMaps	sing_1931.htm#SEC2012
classifySimpleMaps1	sing_1932.htm#SEC2013
classifyUnimodalMaps	sing_1933.htm#SEC2014
classify_aeq.lib	sing_1910.htm#SEC1991
classify_aeq_lib	sing_1910.htm#SEC1991
classify_lib	sing_1889.htm#SEC1970
classifyceq.lib	sing_1920.htm#SEC2001
classifyceq_lib	sing_1920.htm#SEC2001
classifyci.lib	sing_1922.htm#SEC2003
classifyci_lib	sing_1922.htm#SEC2003
classifyicis	sing_1923.htm#SEC2004
classpoly	sing_1642.htm#SEC1723
cleanTmp	sing_2622.htm#SEC2703
cleanunit	sing_1750.htm#SEC1831
cleardenom	sing_222.htm#SEC262
close	sing_223.htm#SEC263
closeSSI	sing_3037.htm#SEC3118
closed_points	sing_2283.htm#SEC2364
closetex	sing_2250.htm#SEC2331
closureFrac	sing_1476.htm#SEC1557
coDim	sing_1927.htm#SEC2008
coDimMap	sing_1926.htm#SEC2007
coHom	sing_718.htm#SEC772
codim	sing_2032.htm#SEC2113
codimension	sing_2488.htm#SEC2569
coding theory	sing_979.htm#SEC1036
coef	sing_224.htm#SEC264
coeff	sing_2756.htm#SEC2837
coefficient	sing_2643.htm#IDX1004
coefficient 	sing_2644.htm#IDX1007
coefficient  	sing_2645.htm#IDX1011
coefficient field	sing_149.htm#SEC189
coefficient of a polynomial	sing_3077.htm#IDX1310
coefficient rings, ring of integers, zero divisors, p-adic numbers	sing_32.htm#SEC45
coefficients	sing_2804.htm#IDX1170
coefficients, long	sing_936.htm#SEC993
coeffmod	sing_2345.htm#SEC2426
coeffs	sing_225.htm#SEC265
cohomologyHashTable	sing_3067.htm#SEC3148
cohomologyMatrix	sing_3064.htm#SEC3145
cohomologyMatrixFromResolution	sing_3065.htm#SEC3146
coker	sing_1378.htm#SEC1459
colength of derivations	sing_1279.htm#IDX606
collectDiv	sing_1795.htm#SEC1876
colrank	sing_2317.htm#SEC2398
colred	sing_1214.htm#SEC1295
combinat.lib	sing_2685.htm#SEC2766
combinat_lib	sing_2685.htm#SEC2766
commRing	sing_699.htm#SEC753
comma	sing_424.htm#SEC464
command,custom	sing_192.htm#SEC232
command-line option, setting value of	sing_368.htm#IDX293
command-line option, value of	sing_368.htm#IDX291
command-line options, print all values of	sing_368.htm#IDX290
command-line options, short help	sing_19.htm#IDX38
commands (letterplace)	sing_811.htm#SEC865
commands (plural)	sing_465.htm#IDX317
comment	sing_36.htm#IDX108
compare	sing_2815.htm#IDX1190
compare 	sing_2816.htm#IDX1192
compare  	sing_2817.htm#IDX1196
compare   	sing_2818.htm#IDX1199
compare    	sing_2836.htm#IDX1237
compare     	sing_2837.htm#IDX1239
compareMatrix	sing_1386.htm#SEC1467
compareModules	sing_1381.htm#SEC1462
compareTasks	sing_1179.htm#SEC1260
compareVectors	sing_1406.htm#SEC1487
complement	sing_2747.htm#SEC2828
completeReduction	sing_2110.htm#SEC2191
complex	sing_28.htm#IDX75
complexClassify	sing_1908.htm#SEC1989
complexSingType	sing_1905.htm#SEC1986
complexType	sing_1909.htm#SEC1990
compose	sing_1285.htm#SEC1366
compregb.lib	sing_1024.htm#SEC1105
compregb_lib	sing_1024.htm#SEC1105
comprehensive Groebner system	sing_1024.htm#IDX486
compress	sing_1192.htm#SEC1273
computeAfaceOrbits	sing_2554.htm#SEC2635
computeConstant	sing_1302.htm#SEC1383
computeGromovWitten	sing_1305.htm#SEC1386
computeN	sing_1799.htm#SEC1880
computeV	sing_1798.htm#SEC1879
computemcm	sing_1757.htm#SEC1838
concat	sing_1193.htm#SEC1274
conductor	sing_1277.htm#IDX600
conductor 	sing_1484.htm#IDX672
conductor  	sing_1871.htm#IDX807
conductor, degree	sing_1987.htm#IDX923
cone	sing_194.htm#SEC234
cone 	sing_2656.htm#IDX1031
cone  	sing_2657.htm#IDX1033
coneLink	sing_2491.htm#SEC2572
coneViaInequalities	sing_2490.htm#SEC2571
coneViaPoints	sing_2489.htm#SEC2570
conic, parametrization, rational point.	sing_1734.htm#IDX753
conicWithTangents	sing_2598.htm#SEC2679
constructH	sing_1758.htm#SEC1839
constructblwup	sing_1759.htm#SEC1840
constructible set	sing_1071.htm#IDX545
constructible set 	sing_1073.htm#IDX550
constructible sets	sing_1072.htm#IDX548
constructible sets 	sing_1074.htm#IDX553
constructlastblwup	sing_1760.htm#SEC1841
constructor	sing_2673.htm#IDX1064
constructor 	sing_2674.htm#IDX1067
constructor  	sing_2803.htm#IDX1166
constructor   	sing_2826.htm#IDX1215
constructor    	sing_2827.htm#IDX1217
constructor     	sing_2828.htm#IDX1220
constructor      	sing_2829.htm#IDX1223
contact matrix	sing_1870.htm#IDX803
containedQ	sing_2242.htm#SEC2323
containment	sing_2822.htm#IDX1206
containsAsFace	sing_2492.htm#SEC2573
containsInCollection	sing_2525.htm#SEC2606
containsInSupport	sing_2493.htm#SEC2574
containsPositiveVector	sing_2494.htm#SEC2575
containsRelatively	sing_2495.htm#SEC2576
content	sing_368.htm#IDX208
content 	sing_1107.htm#SEC1188
contentSB, option	sing_324.htm#IDX178
continue	sing_392.htm#SEC432
continue 	sing_426.htm#SEC466
contraHom	sing_719.htm#SEC773
contract	sing_226.htm#SEC266
contraction	sing_2839.htm#IDX1245
contraction 	sing_2840.htm#IDX1247
contraction  	sing_2841.htm#IDX1249
contribution bundle, graph, multiple cover, rational curve,	sing_1827.htm#IDX775
contributionBundle	sing_1827.htm#SEC1908
contributors	sing_368.htm#IDX206
control	sing_2309.htm#SEC2390
control.lib	sing_2308.htm#SEC2389
controlDim	sing_2310.htm#SEC2391
controlExample	sing_2322.htm#SEC2403
control_Matrix	sing_1955.htm#SEC2036
control_lib	sing_2308.htm#SEC2389
convertLeftToRightFraction	sing_771.htm#SEC825
convertRightToLeftFraction	sing_770.htm#SEC824
convertdata	sing_1755.htm#SEC1836
convexHull	sing_2496.htm#SEC2577
convexIntersection	sing_2497.htm#SEC2578
convloc	sing_565.htm#SEC619
coordinate change	sing_2653.htm#IDX1028
coordinate change 	sing_2654.htm#IDX1029
coordinate change  	sing_2655.htm#IDX1030
coordinates	sing_2452.htm#IDX980
coords	sing_2452.htm#SEC2533
copyTask	sing_1178.htm#SEC1259
copyright	sing_1.htm#IDX1
corank	sing_1892.htm#SEC1973
corner (highest), option	sing_324.htm#IDX164
corner, highest	sing_410.htm#SEC450
cornerMonomials	sing_1523.htm#SEC1604
countPoints	sing_2377.htm#SEC2458
coverTuple	sing_3079.htm#SEC3160
coverings	sing_1304.htm#IDX626
coverings 	sing_1305.htm#IDX630
cpu	sing_368.htm#IDX210
cpu 	sing_368.htm#IDX287
crcgs	sing_1127.htm#SEC1208
createBO	sing_1786.htm#SEC1867
createGradedRingHomomorphism	sing_2943.htm#SEC3024
createGroup	sing_2936.htm#SEC3017
createQuotientGroup	sing_2937.htm#SEC3018
createTask	sing_1176.htm#SEC1257
createTorsionFreeGroup	sing_2938.htm#SEC3019
create_ring	sing_227.htm#SEC267
createlist	sing_1768.htm#SEC1849
cring	sing_73.htm#SEC113
cring declarations	sing_74.htm#SEC114
cring expressions	sing_75.htm#SEC115
cring operations	sing_76.htm#SEC116
cring related functions	sing_77.htm#SEC117
crossprod	sing_228.htm#SEC268
crypto.lib	sing_2348.htm#SEC2429
crypto_lib	sing_2348.htm#SEC2429
crystallographicGroupC2MM	sing_855.htm#SEC909
crystallographicGroupCM	sing_854.htm#SEC908
crystallographicGroupP1	sing_848.htm#SEC902
crystallographicGroupP2	sing_852.htm#SEC906
crystallographicGroupP2GG	sing_853.htm#SEC907
crystallographicGroupP2MM	sing_851.htm#SEC905
crystallographicGroupP3	sing_859.htm#SEC913
crystallographicGroupP31M	sing_860.htm#SEC914
crystallographicGroupP3M1	sing_861.htm#SEC915
crystallographicGroupP4	sing_856.htm#SEC910
crystallographicGroupP4GM	sing_858.htm#SEC912
crystallographicGroupP4MM	sing_857.htm#SEC911
crystallographicGroupP6	sing_862.htm#SEC916
crystallographicGroupP6MM	sing_863.htm#SEC917
crystallographicGroupPG	sing_850.htm#SEC904
crystallographicGroupPM	sing_849.htm#SEC903
cup	sing_1326.htm#SEC1407
cupproduct	sing_1327.htm#SEC1408
curve singularities	sing_1861.htm#IDX790
curve singularities 	sing_1981.htm#IDX918
curve singularity	sing_1275.htm#IDX595
curveColengthDerivations	sing_1279.htm#SEC1360
curveConductorMult	sing_1277.htm#SEC1358
curveDeligneNumber	sing_1278.htm#SEC1359
curveDeltaInv	sing_1276.htm#SEC1357
curveInv.lib	sing_1275.htm#SEC1356
curveInv_lib	sing_1275.htm#SEC1356
curvepar.lib	sing_1934.htm#SEC2015
curvepar_lib	sing_1934.htm#SEC2015
custom assignment	sing_193.htm#SEC233
custom command	sing_192.htm#SEC232
custom type	sing_189.htm#SEC229
customstd.lib	sing_2689.htm#SEC2770
customstd_lib	sing_2689.htm#SEC2770
cycleLength	sing_2576.htm#SEC2657
cyclePoints	sing_2580.htm#SEC2661
cyclic	sing_1094.htm#SEC1175
cyclic code	sing_1011.htm#SEC1075
cyclotomic	sing_2075.htm#SEC2156
datetime	sing_229.htm#SEC269
dbprint	sing_230.htm#SEC270
deRham.lib	sing_1659.htm#SEC1740
deRhamCohom	sing_582.htm#SEC636
deRhamCohomIdeal	sing_583.htm#SEC637
deRhamCohomology	sing_1660.htm#SEC1741
deRham_lib	sing_1659.htm#SEC1740
debugLib, option	sing_324.htm#IDX183
debug_log	sing_1902.htm#SEC1983
debugger	sing_66.htm#SEC103
debugging library code	sing_66.htm#SEC103
dec1var	sing_1437.htm#SEC1518
decimal	sing_2351.htm#SEC2432
decode	sing_2300.htm#SEC2381
decodeCode	sing_2302.htm#SEC2383
decodeRandom	sing_2301.htm#SEC2382
decodeRandomFL	sing_2305.htm#SEC2386
decodeSV	sing_2282.htm#SEC2363
decodegb.lib	sing_2287.htm#SEC2368
decodegb_lib	sing_2287.htm#SEC2368
decoding, decoding problem	sing_1011.htm#SEC1076
decoef	sing_2330.htm#SEC2411
decomp.lib	sing_1280.htm#SEC1361
decomp_lib	sing_1280.htm#SEC1361
decompopts	sing_1281.htm#SEC1362
decompose	sing_1282.htm#SEC1363
decomposeVecField	sing_3099.htm#SEC3180
decomposition	sing_2804.htm#IDX1168
decomposition 	sing_2983.htm#IDX1270
decomposition of modules	sing_1430.htm#IDX650
decomposition, numerical	sing_1706.htm#IDX721
decone	sing_2656.htm#IDX1032
decone 	sing_2657.htm#IDX1034
def	sing_93.htm#SEC133
def declarations	sing_94.htm#SEC134
defRes, option	sing_324.htm#IDX184
default argument	sing_44.htm#SEC81
defineHomogeneous	sing_2976.htm#SEC3057
defined	sing_231.htm#SEC271
definingBinomialIdeal	sing_1493.htm#SEC1574
defl	sing_1717.htm#SEC1798
deform	sing_2033.htm#SEC2114
deform.lib	sing_1945.htm#SEC2026
deform_lib	sing_1945.htm#SEC2026
defring	sing_1151.htm#SEC1232
defringp	sing_1153.htm#SEC1234
defrings	sing_1152.htm#SEC1233
deg	sing_232.htm#SEC272
degBound	sing_406.htm#SEC446
degree	sing_233.htm#SEC273
degree 	sing_429.htm#IDX307
degree  	sing_2819.htm#IDX1201
degree   	sing_2821.htm#IDX1205
degree lexicographical ordering	sing_985.htm#IDX460
degree of a polynomial	sing_429.htm#IDX311
degree reverse lexicographical ordering	sing_985.htm#IDX458
degreeDivisor	sing_1670.htm#SEC1751
degreeFormalDivisor	sing_1678.htm#SEC1759
degreepart	sing_2159.htm#SEC2240
delete	sing_131.htm#SEC171
delete 	sing_234.htm#SEC274
delete  	sing_284.htm#SEC324
deleteGenerator	sing_597.htm#SEC651
deleteSublist	sing_1033.htm#SEC1114
deligne number	sing_1275.htm#IDX597
deligne number 	sing_1278.htm#IDX602
deligne number  	sing_1279.htm#IDX604
delta	sing_1993.htm#SEC2074
delta invariant	sing_1276.htm#IDX598
delta invariant 	sing_1478.htm#IDX670
delta invariant  	sing_1993.htm#IDX928
delta invariant   	sing_2753.htm#IDX1142
delta invariant.	sing_1468.htm#IDX658
delta invariant. 	sing_1471.htm#IDX666
delta invariant.  	sing_1472.htm#IDX669
deltaLoc	sing_1478.htm#SEC1559
deltaNNB	sing_2782.htm#SEC2863
denom_list	sing_368.htm#IDX212
denominator	sing_235.htm#SEC275
depth	sing_1328.htm#SEC1409
depthIdeal	sing_1447.htm#SEC1528
derivate	sing_2107.htm#SEC2188
derivation	sing_2670.htm#IDX1055
derivation 	sing_2824.htm#IDX1210
derivation  	sing_2825.htm#IDX1214
derivation   	sing_2826.htm#IDX1216
derivation    	sing_2827.htm#IDX1218
derivation     	sing_2828.htm#IDX1221
derivation      	sing_2829.htm#IDX1224
derivation       	sing_2838.htm#IDX1243
derivationAdd	sing_2832.htm#SEC2913
derivationCheckList	sing_2827.htm#SEC2908
derivationConstructor	sing_2829.htm#SEC2910
derivationContraction	sing_2840.htm#SEC2921
derivationContractionGen	sing_2839.htm#SEC2920
derivationEqu	sing_2836.htm#SEC2917
derivationEval	sing_2838.htm#SEC2919
derivationFromList	sing_2826.htm#SEC2907
derivationFromPoly	sing_2828.htm#SEC2909
derivationLie	sing_2841.htm#SEC2922
derivationMul	sing_2835.htm#SEC2916
derivationNeg	sing_2834.htm#SEC2915
derivationNeq	sing_2837.htm#SEC2918
derivationPrint	sing_2831.htm#SEC2912
derivationSub	sing_2833.htm#SEC2914
derivationToString	sing_2830.htm#SEC2911
desingularization	sing_2869.htm#IDX1254
desingularization 	sing_2870.htm#SEC2951
det	sing_236.htm#SEC276
det_B	sing_1233.htm#SEC1314
detadj	sing_2009.htm#SEC2090
determinacy	sing_2028.htm#SEC2109
determinacy bound	sing_2753.htm#IDX1143
determinacyBound	sing_2781.htm#SEC2862
determineArnoldType	sing_2784.htm#SEC2865
determineExceptionalHypersurface	sing_2770.htm#SEC2851
determineGermWithSemiNormalizedNNB	sing_2777.htm#SEC2858
determineNormalForm	sing_2768.htm#SEC2849
determineNormalFormEquation	sing_2772.htm#SEC2853
determinecenter	sing_1740.htm#SEC1821
detropicalise	sing_2616.htm#SEC2697
develop	sing_1983.htm#SEC2064
diag	sing_1194.htm#SEC1275
diagInvariants	sing_1498.htm#SEC1579
diag_test	sing_1229.htm#SEC1310
diagonalizeMatrixSimul	sing_3100.htm#SEC3181
diagonalizeVecField	sing_3097.htm#SEC3178
diagonalizeVecFieldLin	sing_3095.htm#SEC3176
diff	sing_237.htm#SEC277
diffAlgebra	sing_2797.htm#SEC2878
diffAlgebraChangeOrd	sing_2801.htm#SEC2882
diffAlgebraGens	sing_2799.htm#SEC2880
diffAlgebraListGen	sing_2802.htm#SEC2883
diffAlgebraStructure	sing_2798.htm#SEC2879
diffAlgebraUnivDerIdeal	sing_2800.htm#SEC2881
diffRat	sing_698.htm#SEC752
difference	sing_2811.htm#IDX1184
difference 	sing_2833.htm#IDX1232
difference  	sing_2834.htm#IDX1234
differential	sing_2803.htm#IDX1167
differential 	sing_2825.htm#IDX1212
differential algebra	sing_2796.htm#IDX1154
differential algebra 	sing_2797.htm#IDX1155
differential algebra  	sing_2798.htm#IDX1158
differential algebra   	sing_2799.htm#IDX1159
differential algebra    	sing_2800.htm#IDX1161
differential forms	sing_2796.htm#IDX1152
differential forms 	sing_2797.htm#IDX1156
differentials	sing_2796.htm#IDX1153
differentials 	sing_2797.htm#IDX1157
difform.lib	sing_2796.htm#SEC2877
difformAdd	sing_2810.htm#SEC2891
difformCoef	sing_2804.htm#SEC2885
difformDeg	sing_2819.htm#SEC2900
difformDiff	sing_2825.htm#SEC2906
difformDiv	sing_2814.htm#SEC2895
difformEqu	sing_2815.htm#SEC2896
difformFromPoly	sing_2803.htm#SEC2884
difformGenToString	sing_2805.htm#SEC2886
difformHomogDecomp	sing_2806.htm#SEC2887
difformIsBigger	sing_2817.htm#SEC2898
difformIsGen	sing_2809.htm#SEC2890
difformIsHomog	sing_2820.htm#SEC2901
difformIsHomogDeg	sing_2821.htm#SEC2902
difformIsSmaller	sing_2818.htm#SEC2899
difformListCont	sing_2822.htm#SEC2903
difformListSort	sing_2823.htm#SEC2904
difformMul	sing_2813.htm#SEC2894
difformNeg	sing_2812.htm#SEC2893
difformNeq	sing_2816.htm#SEC2897
difformPrint	sing_2808.htm#SEC2889
difformSub	sing_2811.htm#SEC2892
difformToString	sing_2807.htm#SEC2888
difformUnivDer	sing_2824.htm#SEC2905
difform_lib	sing_2796.htm#SEC2877
difpoly2tex	sing_2331.htm#SEC2412
dim	sing_238.htm#SEC278
dim (letterplace)	sing_812.htm#SEC866
dim (plural)	sing_468.htm#SEC508
dimGradedPart	sing_1850.htm#SEC1931
dimH	sing_1849.htm#SEC1930
dimMon	sing_1427.htm#SEC1508
dimStack	sing_1825.htm#SEC1906
dim_slocus	sing_2034.htm#SEC2115
dimension	sing_2498.htm#SEC2579
dimension, moduli space of stable maps, rational curves	sing_1825.htm#IDX773
dimensionOfLocalization	sing_1694.htm#SEC1775
direct_boolean_poly	sing_2729.htm#SEC2810
direct_from_boolean_poly	sing_2735.htm#SEC2816
discr	sing_2056.htm#SEC2137
discrepancy	sing_1793.htm#SEC1874
discrim	sing_1066.htm#SEC1147
discussion of parametric ideal	sing_1050.htm#IDX490
disjoint	sing_1051.htm#IDX492
disp_zdd	sing_2742.htm#SEC2823
displayCohom	sing_1851.htm#SEC1932
displayHNE	sing_1986.htm#SEC2067
displayInvariants	sing_1988.htm#SEC2069
displayMultsequence	sing_1990.htm#SEC2071
displayPuiseuxExpansion	sing_2592.htm#SEC2673
displayTropicalLifting	sing_2590.htm#SEC2671
displaypfd	sing_2987.htm#SEC3068
displaypfd_long	sing_2988.htm#SEC3069
distributed computing	sing_1087.htm#IDX562
distributed computing 	sing_1142.htm#IDX576
distributed computing  	sing_1175.htm#IDX586
div	sing_81.htm#SEC121
div 	sing_103.htm#SEC143
div  	sing_160.htm#SEC200
div   	sing_429.htm#IDX304
divideUnits	sing_2327.htm#SEC2408
dividelist	sing_1767.htm#SEC1848
division	sing_239.htm#SEC279
division 	sing_1052.htm#IDX495
division  	sing_1053.htm#IDX497
division   	sing_2814.htm#IDX1189
division (plural)	sing_469.htm#SEC509
division, pdivi2, reduce	sing_1121.htm#IDX567
division, reduce	sing_1118.htm#IDX564
divisor	sing_2417.htm#SEC2498
divisorplus	sing_1664.htm#SEC1745
divisors	sing_1663.htm#IDX689
divisors 	sing_1664.htm#IDX690
divisors  	sing_1665.htm#IDX691
divisors   	sing_1666.htm#IDX692
divisors    	sing_1667.htm#IDX693
divisors     	sing_1668.htm#IDX694
divisors      	sing_1669.htm#IDX695
divisors       	sing_1670.htm#IDX696
divisors        	sing_1671.htm#IDX697
divisors         	sing_1672.htm#IDX698
divisors          	sing_1673.htm#IDX699
divisors           	sing_1674.htm#IDX700
divisors            	sing_1675.htm#IDX701
divisors             	sing_1676.htm#IDX702
divisors              	sing_1677.htm#IDX703
divisors               	sing_1678.htm#IDX704
divisors, polyhedra	sing_1679.htm#IDX705
divisors.lib	sing_1662.htm#SEC1743
divisors_lib	sing_1662.htm#SEC1743
dmod.lib	sing_544.htm#SEC598
dmodAction	sing_693.htm#SEC747
dmodActionRat	sing_694.htm#SEC748
dmodGeneralAssumptionCheck	sing_686.htm#SEC740
dmod_lib	sing_544.htm#SEC598
dmodapp.lib	sing_568.htm#SEC622
dmodapp_lib	sing_568.htm#SEC622
dmodideal.lib	sing_600.htm#SEC654
dmodideal_lib	sing_600.htm#SEC654
dmodloc.lib	sing_675.htm#IDX393
dmodloc_lib	sing_675.htm#IDX394
dmodoublext	sing_720.htm#SEC774
dmodvar.lib	sing_608.htm#SEC662
dmodvar_lib	sing_608.htm#SEC662
double	sing_2422.htm#SEC2503
doubleExt	sing_793.htm#SEC847
downloading	sing_3111.htm#SEC3214
dp, global ordering	sing_985.htm#IDX459
drawNewtonSubdivision	sing_2595.htm#SEC2676
drawTropicalCurve	sing_2594.htm#SEC2675
ds, local ordering	sing_986.htm#IDX469
dsum	sing_1195.htm#SEC1276
dualCone	sing_2499.htm#SEC2580
dualConic	sing_2618.htm#SEC2699
dualPart	sing_1650.htm#SEC1731
dualPartition	sing_1838.htm#SEC1919
dualPolytope	sing_2538.htm#SEC2619
dualSheaf	sing_1816.htm#SEC1897
dual_code	sing_2284.htm#SEC2365
dump	sing_240.htm#SEC280
dyckGroup1	sing_864.htm#SEC918
dyckGroup2	sing_865.htm#SEC919
dyckGroup3	sing_866.htm#SEC920
dynamic geometry	sing_1059.htm#IDX519
dynamic geometry 	sing_1060.htm#IDX522
ecart	sing_2425.htm#SEC2506
echo	sing_407.htm#SEC447
edge, highest	sing_410.htm#SEC450
eexgcdN	sing_2352.htm#SEC2433
effective	sing_1672.htm#SEC1753
egcdMain	sing_2235.htm#SEC2316
ehrhartRing	sing_1491.htm#SEC1572
eigenvals	sing_1241.htm#SEC1322
eigenvalue	sing_338.htm#SEC378
eigenvalue 	sing_1241.htm#IDX592
eigenvalues	sing_1588.htm#SEC1669
elemSymmId	sing_1095.htm#SEC1176
elim	sing_1290.htm#SEC1371
elim.lib	sing_1287.htm#SEC1368
elim1	sing_1291.htm#SEC1372
elim2	sing_1292.htm#SEC1373
elimRing	sing_1289.htm#SEC1370
elimWeight	sing_735.htm#SEC789
elim_lib	sing_1287.htm#SEC1368
eliminate	sing_241.htm#SEC281
eliminate (plural)	sing_470.htm#SEC510
eliminateNC	sing_730.htm#SEC784
elimination	sing_729.htm#IDX408
elimlinearpart	sing_2160.htm#SEC2241
elimpart	sing_2161.htm#SEC2242
elimpartanyr	sing_2162.htm#SEC2243
elimrep	sing_1748.htm#SEC1829
elliptic curve	sing_1301.htm#IDX620
elliptic curve cover multiplicities	sing_3080.htm#IDX1313
elliptic curve covers	sing_3081.htm#IDX1314
elliptic curve draw covers	sing_3089.htm#IDX1331
elliptic curve draw covers 	sing_3090.htm#IDX1332
elliptic curves	sing_1298.htm#IDX614
elliptic curves 	sing_1304.htm#IDX625
elliptic curves  	sing_1305.htm#IDX629
elliptic curves   	sing_3076.htm#IDX1304
elliptic curves    	sing_3082.htm#IDX1315
elliptic curves     	sing_3083.htm#IDX1317
elliptic curves      	sing_3084.htm#IDX1319
elliptic curves       	sing_3085.htm#IDX1322
elliptic curves        	sing_3086.htm#IDX1324
elliptic curves         	sing_3087.htm#IDX1326
elliptic curves          	sing_3088.htm#IDX1328
ellipticAdd	sing_2373.htm#SEC2454
ellipticAllPoints	sing_2378.htm#SEC2459
ellipticMult	sing_2374.htm#SEC2455
ellipticNF	sing_2583.htm#SEC2664
ellipticRandomCurve	sing_2375.htm#SEC2456
ellipticRandomPoint	sing_2376.htm#SEC2457
ellipticcovers.lib	sing_1298.htm#SEC1379
ellipticcovers_lib	sing_1298.htm#SEC1379
else	sing_397.htm#SEC437
embedMat	sing_761.htm#SEC815
emptyFan	sing_2526.htm#SEC2607
encode	sing_2292.htm#SEC2373
endomorphism filtration	sing_1967.htm#IDX894
endvfilt	sing_1967.htm#SEC2048
ensureLeftNcfrac	sing_708.htm#SEC762
ensureRightNcfrac	sing_709.htm#SEC763
enumpoints.lib	sing_2842.htm#SEC2923
enumpoints_lib	sing_2842.htm#SEC2923
envelop	sing_1061.htm#SEC1142
envelop 	sing_1061.htm#IDX525
envelop  	sing_1062.htm#IDX528
envelop   	sing_1064.htm#IDX533
envelop    	sing_1065.htm#IDX537
envelope	sing_471.htm#SEC511
enveloping algebra	sing_368.htm#IDX216
enveloping algebra 	sing_502.htm#IDX321
environment variable, DISPLAY	sing_16.htm#IDX29
environment variables	sing_3112.htm#SEC3215
equal	sing_2815.htm#IDX1191
equal 	sing_2816.htm#IDX1193
equal  	sing_2836.htm#IDX1238
equal   	sing_2837.htm#IDX1240
equalJinI	sing_1878.htm#SEC1959
equalMultiDeg	sing_2969.htm#SEC3050
equalPoly	sing_3001.htm#SEC3082
equations	sing_2500.htm#SEC2581
equiRadical	sing_1541.htm#SEC1622
equidim	sing_1543.htm#SEC1624
equidimMax	sing_1544.htm#SEC1625
equidimMaxEHV	sing_1545.htm#SEC1626
equidimZ	sing_1556.htm#SEC1637
equising.lib	sing_1950.htm#SEC2031
equising_lib	sing_1950.htm#SEC2031
equisingular Tjurina number	sing_1861.htm#IDX795
equisingularity ideal	sing_1952.htm#IDX821
equisingularity stratum	sing_1953.htm#IDX822
error recovery	sing_15.htm#SEC21
errorInsert	sing_2295.htm#SEC2376
errorRand	sing_2296.htm#SEC2377
errormap	sing_2859.htm#SEC2940
esIdeal	sing_1952.htm#SEC2033
esStratum	sing_1953.htm#SEC2034
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essential 	sing_2661.htm#IDX1038
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euler	sing_2344.htm#SEC2425
eulerChProj	sing_1640.htm#SEC1721
eulerPolynomialTable	sing_3066.htm#SEC3147
eval	sing_242.htm#SEC282
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evalPolyAtBox	sing_2220.htm#SEC2301
evalPolyAtBox2	sing_2156.htm#SEC2237
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evaluateIntegral	sing_1303.htm#SEC1384
evaluateProduct	sing_2564.htm#SEC2645
evaluate_reynolds	sing_2080.htm#SEC2161
evaluatepfd	sing_2986.htm#SEC3067
evaluation	sing_2838.htm#IDX1242
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example	sing_244.htm#SEC284
example 	sing_2662.htm#IDX1039
example  	sing_2663.htm#IDX1041
example   	sing_2664.htm#IDX1043
example    	sing_2665.htm#IDX1045
example     	sing_2666.htm#IDX1047
example      	sing_2667.htm#IDX1049
example       	sing_2668.htm#IDX1052
exceptionalHypersurface	sing_2771.htm#SEC2852
exclusionTest	sing_2157.htm#SEC2238
execute	sing_245.htm#SEC285
exit	sing_401.htm#SEC441
exp2pt	sing_2332.htm#SEC2413
expPoly	sing_3002.htm#SEC3083
exponents	sing_2672.htm#IDX1060
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exportNuminvs	sing_1502.htm#SEC1583
exportto	sing_395.htm#SEC435
expp	sing_1836.htm#SEC1917
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expression list 	sing_433.htm#IDX314
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extcurve	sing_2278.htm#SEC2359
extdevelop	sing_1984.htm#SEC2065
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extendWeyl	sing_687.htm#SEC741
extendedTensor	sing_736.htm#SEC790
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extendring	sing_1154.htm#SEC1235
extension of rings	sing_1561.htm#IDX682
exterior basis	sing_1220.htm#IDX589
exterior power	sing_1222.htm#IDX591
exteriorBasis	sing_1220.htm#SEC1301
exteriorPower	sing_1222.htm#SEC1303
extgcd	sing_246.htm#SEC286
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fPiece	sing_3045.htm#SEC3126
fVector	sing_2529.htm#SEC2610
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facFirstWeyl	sing_658.htm#SEC712
facGBIdeal	sing_1524.htm#SEC1605
facShift	sing_661.htm#SEC715
facSubWeyl	sing_660.htm#SEC714
facWeyl	sing_657.htm#SEC711
faceContaining	sing_2501.htm#SEC2582
facets	sing_2502.htm#SEC2583
facstd	sing_247.htm#SEC287
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factor	sing_331.htm#SEC371
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factorH	sing_1048.htm#SEC1129
factorLenstraECM	sing_2382.htm#SEC2463
factorMain	sing_2236.htm#SEC2317
factorgroup	sing_2959.htm#SEC3040
factorial	sing_1034.htm#SEC1115
factorization	sing_332.htm#SEC372
factorization 	sing_1250.htm#IDX593
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facvar	sing_1119.htm#SEC1200
fan	sing_195.htm#SEC235
fan 	sing_2573.htm#IDX986
fanViaCones	sing_2527.htm#SEC2608
farey	sing_250.htm#SEC290
farey 	sing_418.htm#IDX302
fareypoly	sing_1310.htm#SEC1391
fastExpt	sing_2340.htm#SEC2421
fastHC, option	sing_324.htm#IDX155
fastelim	sing_2163.htm#SEC2244
fetch	sing_251.htm#SEC291
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ffmodstd_lib	sing_1309.htm#SEC1390
ffsolve	sing_2143.htm#SEC2224
ffsolve.lib	sing_2142.htm#SEC2223
ffsolve_lib	sing_2142.htm#SEC2223
fglm	sing_252.htm#SEC292
fglm 	sing_365.htm#IDX194
fglm_solve	sing_2179.htm#SEC2260
fglmquot	sing_253.htm#SEC293
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fibonacciGroup	sing_867.htm#SEC921
field	sing_149.htm#SEC189
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filecmd	sing_254.htm#SEC294
filtration	sing_785.htm#IDX415
finalCharts	sing_1772.htm#SEC1853
finalcases	sing_1124.htm#SEC1205
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findAuto	sing_616.htm#SEC670
findInvo	sing_614.htm#SEC668
findInvoDiag	sing_615.htm#SEC669
findOrientedBoundary	sing_2579.htm#SEC2660
findTorsion	sing_2321.htm#SEC2402
findZeroPoly	sing_3014.htm#SEC3095
find_first_primitive_root	sing_2386.htm#SEC2467
find_index	sing_2390.htm#SEC2471
findifs.lib	sing_2328.htm#SEC2409
findifs_example	sing_2329.htm#SEC2410
findifs_lib	sing_2328.htm#SEC2409
findimAlgebra	sing_745.htm#SEC799
finduni	sing_256.htm#SEC296
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finite field	sing_149.htm#SEC189
finite field 	sing_2142.htm#IDX950
finite field  	sing_2842.htm#IDX1251
finiteDiagInvariants	sing_1497.htm#SEC1578
finitediff.lib	sing_2845.htm#IDX1252
finitediff_lib	sing_2845.htm#IDX1253
finitely presented algebra	sing_834.htm#IDX422
finitely presented algebra 	sing_841.htm#IDX428
finitely presented algebra  	sing_870.htm#IDX431
finitely presented algebra   	sing_879.htm#IDX443
finitely presented algebra    	sing_893.htm#IDX444
finitely presented algebra, standard finitely presented algebra	sing_828.htm#IDX421
finitely presented group	sing_841.htm#IDX429
finitenessTest	sing_1264.htm#SEC1345
finiterep	sing_2133.htm#SEC2214
finvar.lib	sing_2068.htm#SEC2149
finvar_lib	sing_2068.htm#SEC2149
first index is 1	sing_428.htm#SEC468
first order deformation	sing_3042.htm#IDX1288
first order deformation 	sing_3045.htm#IDX1291
firstQuadrantComplex	sing_3072.htm#SEC3153
firstoct	sing_2228.htm#SEC2309
fitting	sing_1331.htm#SEC1412
fixed points, moduli space of stable maps, graph	sing_1826.htm#IDX774
fixedPoints	sing_1826.htm#SEC1907
fl2poly	sing_595.htm#SEC649
flatten	sing_1196.htm#SEC1277
flatteningStrat	sing_1332.htm#SEC1413
flintQ	sing_257.htm#SEC297
floating point	sing_1164.htm#IDX579
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for	sing_396.htm#SEC436
formal linear representations	sing_896.htm#IDX452
formaldivisorplus	sing_1675.htm#SEC1756
forward	sing_2851.htm#SEC2932
fourier	sing_590.htm#SEC644
fouriersystem	sing_2862.htm#SEC2943
fpadim.lib	sing_834.htm#SEC888
fpadim_lib	sing_834.htm#SEC888
fpalgebras.lib	sing_841.htm#SEC895
fpalgebras_lib	sing_841.htm#SEC895
fpaprops.lib	sing_870.htm#SEC924
fpaprops_lib	sing_870.htm#SEC924
fprintf	sing_259.htm#SEC299
fracStatus	sing_766.htm#SEC820
framed sheaves	sing_1680.htm#IDX712
frandwalk	sing_3021.htm#SEC3102
free	sing_2671.htm#IDX1057
free 	sing_2672.htm#IDX1059
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free associative algebra 	sing_879.htm#IDX439
free associative algebra, tensor algebra	sing_828.htm#SEC882
free noncommutative Groebner basis	sing_879.htm#IDX441
freeAlgebra (letterplace)	sing_814.htm#SEC868
freeModule	sing_1358.htm#SEC1439
freeModule2Module	sing_1387.htm#SEC1468
freegb.lib	sing_879.htm#SEC933
freegb_lib	sing_879.htm#SEC933
freemodule	sing_260.htm#SEC300
freerank	sing_1097.htm#SEC1178
fres	sing_261.htm#SEC301
from_boolean_constant	sing_2733.htm#SEC2814
from_boolean_ideal	sing_2737.htm#SEC2818
from_boolean_poly	sing_2734.htm#SEC2815
from_boolean_set	sing_2738.htm#SEC2819
frwalk	sing_262.htm#SEC302
full representation	sing_1057.htm#IDX511
full representation 	sing_1058.htm#IDX516
fullDimImages	sing_2545.htm#SEC2626
fullFan	sing_2528.htm#SEC2609
fullSerreRelations	sing_844.htm#SEC898
fullSpace	sing_2483.htm#SEC2564
furtherInvar	sing_2112.htm#SEC2193
further_hn_proc	sing_2001.htm#SEC2082
fwalk	sing_1318.htm#SEC1399
galois field	sing_149.htm#SEC189
gaussColWithoutPerm	sing_2200.htm#SEC2281
gaussRowWithoutPerm	sing_2199.htm#SEC2280
gauss_col	sing_1205.htm#SEC1286
gauss_nf	sing_1236.htm#SEC1317
gauss_row	sing_1206.htm#SEC1287
gaussred	sing_1234.htm#SEC1315
gaussred_pivot	sing_1235.htm#SEC1316
gcd	sing_263.htm#SEC303
gcdMon	sing_1416.htm#SEC1497
gcddivisor	sing_2418.htm#SEC2499
gen	sing_264.htm#SEC304
genMDSMat	sing_2298.htm#SEC2379
genSymId	sing_1585.htm#SEC1666
general error-locator polynomial	sing_1012.htm#SEC1082
general neron.	sing_2869.htm#IDX1255
general weighted lexicographical ordering	sing_986.htm#IDX475
general weighted reverse lexicographical ordering	sing_986.htm#IDX472
general.lib	sing_1027.htm#SEC1108
generalOrder	sing_2443.htm#SEC2524
general_lib	sing_1027.htm#SEC1108
generateG	sing_2381.htm#SEC2462
generator	sing_2799.htm#IDX1160
generator 	sing_2809.htm#IDX1180
generator  	sing_2839.htm#IDX1246
generators	sing_1869.htm#IDX799
generators 	sing_2802.htm#IDX1164
generators  	sing_2804.htm#IDX1169
generators   	sing_2805.htm#IDX1173
generatorsOfLinealitySpace	sing_2503.htm#SEC2584
generatorsOfSpan	sing_2504.htm#SEC2585
generic representation	sing_1057.htm#IDX510
genericid	sing_1130.htm#SEC1211
genericity	sing_2318.htm#SEC2399
genericmat	sing_1197.htm#SEC1278
genoutput	sing_1761.htm#SEC1842
genus	sing_1474.htm#SEC1555
geometrical locus	sing_1059.htm#IDX517
geometrical locus 	sing_1060.htm#IDX520
geometrical locus  	sing_1061.htm#IDX523
geometrical locus   	sing_1062.htm#IDX526
geometrical locus    	sing_1063.htm#IDX529
geometrical locus     	sing_1064.htm#IDX531
geometrical locus      	sing_1065.htm#IDX535
germWithNNB	sing_2776.htm#SEC2857
germWithSemiNormalizedNNB	sing_2778.htm#SEC2859
getArguments	sing_1187.htm#SEC1268
getCommand	sing_1186.htm#SEC1267
getCone	sing_2530.htm#SEC2611
getGradingGroup	sing_2934.htm#SEC3015
getLattice	sing_2935.htm#SEC3016
getLinearForms	sing_2505.htm#SEC2586
getMaxPoints	sing_2921.htm#SEC3002
getModuleGrading	sing_2945.htm#SEC3026
getMultiplicity	sing_2506.htm#SEC2587
getOneVar	sing_1482.htm#SEC1563
getRelations	sing_2197.htm#SEC2278
getRelationsRadical	sing_2198.htm#SEC2279
getResult	sing_1188.htm#SEC1269
getSmallest	sing_1481.htm#SEC1562
getState	sing_1189.htm#SEC1270
getStringpfd	sing_2989.htm#SEC3070
getStringpfd_indexed	sing_2990.htm#SEC3071
getVariableWeights	sing_2933.htm#SEC3014
getWitnessSet	sing_2201.htm#SEC2282
getcores	sing_1145.htm#SEC1226
getdump	sing_265.htm#SEC305
getenv	sing_368.htm#IDX218
gfan.lib	sing_2482.htm#SEC2563
gfan_lib	sing_2482.htm#SEC2563
gfanlib	sing_1.htm#IDX9
gitCone	sing_2572.htm#SEC2653
gitfan.lib	sing_2542.htm#SEC2623
gitfan_lib	sing_2542.htm#SEC2623
gkdim.lib	sing_621.htm#SEC675
gkdim_lib	sing_621.htm#SEC675
global	sing_215.htm#IDX133
global Bernstein-Sato ideal	sing_600.htm#IDX370
global Bernstein-Sato polynomial	sing_509.htm#IDX328
global Bernstein-Sato polynomial 	sing_544.htm#IDX346
global Bernstein-Sato polynomial for variety	sing_608.htm#IDX378
global homological dimension	sing_870.htm#IDX436
globalSections	sing_1669.htm#SEC1750
gmscoeffs	sing_1959.htm#SEC2040
gmsnf	sing_1958.htm#SEC2039
gmspoly.lib	sing_1978.htm#SEC2059
gmspoly_lib	sing_1978.htm#SEC2059
gmsring	sing_1957.htm#SEC2038
gmssing.lib	sing_1956.htm#SEC2037
gmssing_lib	sing_1956.htm#SEC2037
goettsche.lib	sing_1680.htm#SEC1761
goettsche_lib	sing_1680.htm#SEC1761
good basis	sing_1956.htm#IDX833
good basis 	sing_1966.htm#IDX888
good basis  	sing_1978.htm#IDX904
good basis   	sing_1980.htm#IDX915
goodBasis	sing_1980.htm#SEC2061
graal.lib	sing_1692.htm#SEC1773
graalMixed	sing_1693.htm#SEC1774
graal_lib	sing_1692.htm#SEC1773
gradeNumber	sing_789.htm#SEC843
graded	sing_2802.htm#IDX1165
graded Hilbert series	sing_893.htm#IDX446
graded Weyl algebra	sing_509.htm#IDX331
graded algebra	sing_2789.htm#IDX1148
graded module, graded piece	sing_1850.htm#IDX785
graded modules, graded homomorphisms, syzygies	sing_2871.htm#IDX1256
graded modules, handling of	sing_951.htm#SEC1008
graded piece,  second order piece	sing_3046.htm#IDX1292
graded-module, graded-resolution, homogenoues-matrix, R-module-homomorphism	sing_1355.htm#IDX647
gradedModules.lib	sing_2871.htm#SEC2952
gradedModules_lib	sing_2871.htm#SEC2952
gradiator	sing_2978.htm#SEC3059
graph	sing_1299.htm#IDX618
graph 	sing_1300.htm#IDX619
graph  	sing_1821.htm#IDX769
graph   	sing_1822.htm#IDX770
graphics.lib	sing_2245.htm#SEC2326
graphics_lib	sing_2245.htm#SEC2326
graphviz	sing_1.htm#IDX13
graver4ti2	sing_1583.htm#SEC1664
grconcat	sing_2894.htm#SEC2975
grdeg	sing_2874.htm#SEC2955
grgens	sing_2883.htm#SEC2964
grgroebner	sing_2893.htm#SEC2974
grlift	sing_2891.htm#SEC2972
grlifting	sing_2898.htm#SEC2979
grlifting2	sing_2899.htm#SEC2980
grlifting3	sing_2901.htm#SEC2982
grneg	sing_2904.htm#SEC2985
grobcov	sing_1050.htm#SEC1131
grobcov.lib	sing_1049.htm#SEC1130
grobcov_lib	sing_1049.htm#SEC1130
grobj	sing_2872.htm#SEC2953
groebner	sing_266.htm#SEC306
groebner 	sing_943.htm#SEC1000
groebner basis computations	sing_266.htm#IDX147
groebnerBasis	sing_1495.htm#SEC1576
groebnerComplex	sing_2629.htm#SEC2710
groebnerCone	sing_2623.htm#SEC2704
groebnerFan	sing_2628.htm#SEC2709
gromovWitten	sing_1304.htm#SEC1385
grorder	sing_2885.htm#SEC2966
ground field	sing_149.htm#SEC189
groupActionOnHashes	sing_2560.htm#SEC2641
groupActionOnQImage	sing_2559.htm#SEC2640
group_reynolds	sing_2076.htm#SEC2157
growth of algebra	sing_870.htm#IDX434
grpower	sing_2881.htm#SEC2962
grpres	sing_2884.htm#SEC2965
grprod	sing_2892.htm#SEC2973
grrange	sing_2903.htm#SEC2984
grres	sing_2890.htm#SEC2971
grrndmap	sing_2896.htm#SEC2977
grrndmap2	sing_2897.htm#SEC2978
grrndmat	sing_2895.htm#SEC2976
grshift	sing_2876.htm#SEC2957
grsum	sing_2880.htm#SEC2961
grsyz	sing_2889.htm#SEC2970
grtest	sing_2873.htm#SEC2954
grtranspose	sing_2882.htm#SEC2963
grtranspose1	sing_2886.htm#SEC2967
grtwist	sing_2878.htm#SEC2959
grtwists	sing_2879.htm#SEC2960
grview	sing_2875.htm#SEC2956
grwalk.lib	sing_1317.htm#SEC1398
grwalk_lib	sing_1317.htm#SEC1398
grzero	sing_2877.htm#SEC2958
gwalk	sing_1323.htm#SEC1404
h_increasing_knapsack	sing_2404.htm#SEC2485
hardware platform	sing_368.htm#IDX280
hasAlgExtensionCoefficient	sing_1168.htm#SEC1249
hasCommutativeVars	sing_1165.htm#SEC1246
hasGlobalOrdering	sing_1166.htm#SEC1247
hasLeftDenom	sing_702.htm#SEC756
hasMixedOrdering	sing_1167.htm#SEC1248
hasNumericCoeffs	sing_1164.htm#SEC1245
hasRightDenom	sing_703.htm#SEC757
hasTransExtensionCoefficient	sing_1169.htm#SEC1250
hashToCone	sing_2570.htm#SEC2651
hashesToFan	sing_2571.htm#SEC2652
headStand	sing_1218.htm#SEC1299
heightZ	sing_1555.htm#SEC1636
help	sing_267.htm#SEC307
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_368.htm#IDX201
help, accessing over the net	sing_19.htm#IDX42
help, online help system	sing_16.htm#SEC22
hensel lifting.	sing_1349.htm#IDX645
henselGlobal	sing_1349.htm#SEC1430
hermiteNormalForm	sing_2979.htm#SEC3060
hess.lib	sing_1699.htm#SEC1780
hess_lib	sing_1699.htm#SEC1780
hessenberg	sing_368.htm#IDX224
hessenberg 	sing_1240.htm#SEC1321
high corner method	sing_266.htm#IDX148
highcorner	sing_266.htm#IDX149
highcorner 	sing_268.htm#SEC308
highest corner	sing_410.htm#SEC450
highest corner, option	sing_324.htm#IDX162
highest edge	sing_410.htm#SEC450
hilb	sing_269.htm#SEC309
hilbPoly	sing_1113.htm#SEC1194
hilbert driven Groebner basis, option	sing_324.htm#IDX163
hilbert4ti2	sing_1582.htm#SEC1663
hilbertSeries	sing_2981.htm#SEC3062
hilbvec	sing_2165.htm#SEC2246
history	sing_18.htm#SEC25
hnexpansion	sing_1982.htm#SEC2063
hnoether.lib	sing_1981.htm#SEC2062
hnoether_lib	sing_1981.htm#SEC2062
hodge.lib	sing_2906.htm#SEC2987
hodgeIdeals	sing_2908.htm#SEC2989
hodge_lib	sing_2906.htm#SEC2987
holonomic rank	sing_675.htm#IDX396
holonomicRank	sing_679.htm#SEC733
hom	sing_1399.htm#SEC1480
hom_kernel	sing_1339.htm#SEC1420
homog	sing_270.htm#SEC310
homog 	sing_2820.htm#IDX1203
homog_part	sing_1833.htm#SEC1914
homog_parts	sing_1834.htm#SEC1915
homogeneitySpace	sing_2625.htm#SEC2706
homogeneous	sing_270.htm#SEC310
homogeneous 	sing_2806.htm#IDX1174
homogeneous  	sing_2820.htm#IDX1202
homogeneous   	sing_2821.htm#IDX1204
homogeneous decomposition	sing_2806.htm#IDX1175
homogfacFirstQWeyl	sing_665.htm#SEC719
homogfacFirstQWeyl_all	sing_667.htm#SEC721
homogfacNthQWeyl	sing_664.htm#SEC718
homogfacNthQWeyl_all	sing_666.htm#SEC720
homogfacNthWeyl	sing_663.htm#SEC717
homolog.lib	sing_1324.htm#SEC1405
homolog_lib	sing_1324.htm#SEC1405
homology	sing_1334.htm#SEC1415
homomorphism	sing_1383.htm#SEC1464
howto, download	sing_3111.htm#SEC3214
howto, install on Macintosh	sing_3115.htm#SEC3218
howto, install on Unix	sing_3113.htm#SEC3216
howto, install on Windows	sing_3114.htm#SEC3217
hres	sing_271.htm#SEC311
html, default help	sing_16.htm#IDX24
hybrid algorithms	sing_2194.htm#IDX952
hyperbolic sine series expansion	sing_3082.htm#IDX1316
hyperel.lib	sing_2411.htm#SEC2492
hyperel_lib	sing_2411.htm#SEC2492
hyperplane	sing_2641.htm#IDX997
hyperplane arrangement	sing_544.htm#IDX352
hypersurface singularity	sing_2008.htm#IDX933
iMult	sing_1477.htm#SEC1558
id	sing_1356.htm#SEC1437
id2mod	sing_1109.htm#SEC1190
ideal	sing_95.htm#SEC135
ideal (plural)	sing_434.htm#SEC474
ideal declarations	sing_96.htm#SEC136
ideal declarations (plural)	sing_435.htm#SEC475
ideal expressions	sing_97.htm#SEC137
ideal expressions (plural)	sing_436.htm#SEC476
ideal operations	sing_98.htm#SEC138
ideal operations (plural)	sing_437.htm#SEC477
ideal related functions	sing_99.htm#SEC139
ideal related functions (plural)	sing_438.htm#SEC478
ideal, toric	sing_999.htm#SEC1061
idealSplit	sing_2172.htm#SEC2253
ideals	sing_429.htm#IDX308
idealsimplify	sing_1877.htm#SEC1958
identifier	sing_430.htm#SEC470
identifyvar	sing_1743.htm#SEC1824
if	sing_397.htm#SEC437
image	sing_1379.htm#SEC1460
imageLattice	sing_2947.htm#SEC3028
image_of_variety	sing_2104.htm#SEC2185
imap	sing_272.htm#SEC312
imap (letterplace)	sing_815.htm#SEC869
imap (plural)	sing_473.htm#SEC513
imapall	sing_1156.htm#SEC1237
impart	sing_273.htm#SEC313
importfrom	sing_398.htm#SEC438
inCenter	sing_533.htm#SEC587
inCentralizer	sing_534.htm#SEC588
inForm	sing_577.htm#SEC631
inSubring	sing_1256.htm#SEC1337
indSet	sing_1442.htm#SEC1523
indepSet	sing_274.htm#SEC314
indexed names	sing_36.htm#IDX82
indexed names 	sing_37.htm#SEC65
indices, multi	sing_37.htm#SEC65
inequalities	sing_2507.htm#SEC2588
infRedTail, option	sing_324.htm#IDX156
infinitely presented algebra	sing_893.htm#IDX445
info	sing_16.htm#SEC23
iniD	sing_1763.htm#SEC1844
init_debug	sing_1894.htm#SEC1975
initial	sing_2626.htm#SEC2707
initial form	sing_509.htm#IDX333
initial ideal	sing_509.htm#IDX332
initial ideal approach	sing_509.htm#IDX336
initial ideal approach 	sing_608.htm#IDX382
initialForm	sing_2603.htm#SEC2684
initialIdeal	sing_2604.htm#SEC2685
initialIdealW	sing_576.htm#SEC630
initialMalgrange	sing_575.htm#SEC629
injective_knapsack	sing_2405.htm#SEC2486
inout.lib	sing_1075.htm#SEC1156
inout_lib	sing_1075.htm#SEC1156
input	sing_41.htm#SEC71
insert	sing_131.htm#SEC171
insert 	sing_275.htm#SEC315
insertCone	sing_2531.htm#SEC2612
insertGenerator	sing_596.htm#SEC650
instructions, Macintosh installation	sing_3115.htm#SEC3218
instructions, Unix installation	sing_3113.htm#SEC3216
instructions, Windows installation	sing_3114.htm#SEC3217
instructions, downloading	sing_3111.htm#SEC3214
int	sing_100.htm#SEC140
int declarations	sing_101.htm#SEC141
int expressions	sing_102.htm#SEC142
int operations	sing_103.htm#SEC143
int related functions	sing_104.htm#SEC144
intInverse	sing_2956.htm#SEC3037
intPart	sing_2359.htm#SEC2440
intRank	sing_2948.htm#SEC3029
intRoot	sing_2360.htm#SEC2441
intRoots	sing_593.htm#SEC647
intStrategy, option	sing_324.htm#IDX157
intclMonIdeal	sing_1492.htm#SEC1573
intclToricRing	sing_1487.htm#SEC1568
integer division	sing_429.htm#IDX303
integer programming	sing_1007.htm#SEC1069
integral	sing_1808.htm#SEC1889
integral basis	sing_1346.htm#IDX642
integral basis 	sing_1726.htm#IDX746
integral closure	sing_1468.htm#IDX657
integral closure 	sing_1471.htm#IDX665
integral closure  	sing_1472.htm#IDX668
integral closure   	sing_1486.htm#IDX675
integralBasis	sing_1346.htm#SEC1427
integralIdeal	sing_580.htm#SEC634
integralModule	sing_581.htm#SEC635
integralSection	sing_2957.htm#SEC3038
integralbasis.lib	sing_1345.htm#SEC1426
integralbasis_lib	sing_1345.htm#SEC1426
integration of D-module	sing_568.htm#IDX364
interface, Emacs	sing_21.htm#SEC28
internalfunctions	sing_1895.htm#SEC1976
interpolate	sing_2178.htm#SEC2259
interpolation	sing_276.htm#SEC316
interpret	sing_1401.htm#SEC1482
interpretElem	sing_1404.htm#SEC1485
interpretInv	sing_1402.htm#SEC1483
interpretList	sing_1405.htm#SEC1486
interred	sing_277.htm#SEC317
intersect	sing_278.htm#SEC318
intersect (plural)	sing_474.htm#SEC514
intersectElim, option	sing_324.htm#IDX179
intersectLattices	sing_2953.htm#SEC3034
intersectLists	sing_2686.htm#SEC2767
intersectMon	sing_1419.htm#SEC1500
intersectOrbitsWithMovingCone	sing_2558.htm#SEC2639
intersectSyz, option	sing_324.htm#IDX180
intersectZ	sing_1557.htm#SEC1638
intersection	sing_1991.htm#SEC2072
intersection 	sing_2746.htm#IDX1138
intersection lattice	sing_2677.htm#IDX1072
intersection lattice 	sing_2678.htm#IDX1073
intersection multiplicity	sing_1870.htm#IDX805
intersection multiplicity 	sing_1991.htm#IDX926
intersectionDiv	sing_1791.htm#SEC1872
intersectionSet	sing_2746.htm#SEC2827
intersectionValRingIdeals	sing_1500.htm#SEC1581
intersectionValRings	sing_1499.htm#SEC1580
intersectpar	sing_1069.htm#SEC1150
interval arithmetic	sing_2212.htm#IDX957
interval.lib	sing_2149.htm#SEC2230
interval_lib	sing_2149.htm#SEC2230
intervalmatrixInit	sing_2152.htm#SEC2233
intmat	sing_107.htm#SEC147
intmat declarations	sing_108.htm#SEC148
intmat expressions	sing_109.htm#SEC149
intmat operations	sing_111.htm#SEC151
intmat related functions	sing_112.htm#SEC152
intmat type cast	sing_110.htm#SEC150
intmat2binomials	sing_1520.htm#SEC1601
intmat2mons	sing_1518.htm#SEC1599
intprog.lib	sing_1350.htm#SEC1431
intprog_lib	sing_1350.htm#SEC1431
intvec	sing_113.htm#SEC153
intvec declarations	sing_114.htm#SEC154
intvec expressions	sing_115.htm#SEC155
intvec operations	sing_116.htm#SEC156
intvec related functions	sing_117.htm#SEC157
invar	sing_2135.htm#SEC2216
invar.lib	sing_2129.htm#SEC2210
invar_lib	sing_2129.htm#SEC2210
invariant	sing_1278.htm#IDX603
invariant ring minimal generating set matrix group	sing_2073.htm#IDX946
invariant ring minimal generating set permutation group	sing_2074.htm#IDX947
invariantRing	sing_2106.htm#SEC2187
invariant_algebra_perm	sing_2074.htm#SEC2155
invariant_algebra_reynolds	sing_2073.htm#SEC2154
invariant_basis	sing_2081.htm#SEC2162
invariant_basis_reynolds	sing_2082.htm#SEC2163
invariant_ring	sing_2069.htm#SEC2150
invariant_ring_random	sing_2070.htm#SEC2151
invariants	sing_1275.htm#IDX596
invariants 	sing_1279.htm#IDX605
invariants  	sing_1987.htm#SEC2068
inverse	sing_1224.htm#SEC1305
inverse lexicographical ordering	sing_985.htm#IDX457
inverse of a matrix via its LU-decomposition	sing_298.htm#SEC338
inverseFourier	sing_591.htm#SEC645
inverse_B	sing_1225.htm#SEC1306
inverse_L	sing_1226.htm#SEC1307
inverse_modulus	sing_2388.htm#SEC2469
invertAlgebraMorphism	sing_3101.htm#SEC3182
invertBirMap	sing_1727.htm#SEC1808
invertLeftFraction	sing_776.htm#SEC830
invertNcfrac	sing_712.htm#SEC766
invertNumberMain	sing_2237.htm#SEC2318
involut.lib	sing_613.htm#SEC667
involut_lib	sing_613.htm#SEC667
involution	sing_618.htm#SEC672
invunit	sing_2010.htm#SEC2091
iostruct	sing_2320.htm#SEC2401
irrRealizationDim	sing_2586.htm#SEC2667
irred_secondary_char0	sing_2095.htm#SEC2176
irred_secondary_no_molien	sing_2098.htm#SEC2179
irreddecMon	sing_1428.htm#SEC1509
irreducible power series	sing_1992.htm#IDX927
irreducible secondary invariant	sing_2095.htm#IDX948
isAface	sing_2543.htm#SEC2624
isAntiEndo	sing_620.htm#SEC674
isCI	sing_215.htm#IDX139
isCI 	sing_1274.htm#SEC1355
isCM	sing_215.htm#IDX140
isCM 	sing_1335.htm#SEC1416
isCMcod2	sing_2052.htm#SEC2133
isCartan	sing_535.htm#SEC589
isCentral	sing_752.htm#SEC806
isCommutative	sing_754.htm#SEC808
isCompatible	sing_2532.htm#SEC2613
isDenom	sing_724.htm#SEC778
isElement	sing_2748.htm#SEC2829
isEqualDivisor	sing_1668.htm#SEC1749
isEquising	sing_1954.htm#SEC2035
isFlat	sing_1336.htm#SEC1417
isFreeAlgebra	sing_880.htm#SEC934
isFsat	sing_586.htm#SEC640
isFullSpace	sing_2508.htm#SEC2589
isGradedRingHomomorphism	sing_2942.htm#SEC3023
isGroup	sing_2940.htm#SEC3021
isGroupHomomorphism	sing_2941.htm#SEC3022
isHolonomic	sing_564.htm#SEC618
isHomog	sing_215.htm#IDX135
isHomogeneous	sing_2968.htm#SEC3049
isInS	sing_765.htm#SEC819
isInt	sing_598.htm#SEC652
isIntegralSurjective	sing_2954.htm#SEC3035
isInvertibleLeftFraction	sing_775.htm#SEC829
isInvertibleNcfrac	sing_711.htm#SEC765
isInvolution	sing_619.htm#SEC673
isLocalizationRegular	sing_1696.htm#SEC1777
isLocallyFree	sing_1337.htm#SEC1418
isMonomial	sing_1414.htm#SEC1495
isNC	sing_753.htm#SEC807
isNormal	sing_1485.htm#SEC1566
isOnCurve	sing_2372.htm#SEC2453
isOneFraction	sing_778.htm#SEC832
isOneNcfrac	sing_705.htm#SEC759
isOrderingShiftInvariant	sing_886.htm#SEC940
isOrigin	sing_2509.htm#SEC2590
isPositive	sing_2965.htm#SEC3046
isPrimitiveSublattice	sing_2955.htm#SEC3036
isPure	sing_2533.htm#SEC2614
isPureTensor	sing_507.htm#SEC561
isQuotientRing	sing_1170.htm#SEC1251
isRational	sing_567.htm#SEC621
isReg	sing_1338.htm#SEC1419
isSB	sing_215.htm#IDX134
isSimplicial	sing_2510.htm#SEC2591
isSubModule	sing_1171.htm#SEC1252
isSublattice	sing_2946.htm#SEC3027
isSubset	sing_2749.htm#SEC2830
isSuperset	sing_2750.htm#SEC2831
isSymmetric	sing_1586.htm#SEC1667
isTame	sing_1979.htm#SEC2060
isTorsionFree	sing_2964.htm#SEC3045
isTwoSidedGB	sing_508.htm#SEC562
isUpperTriangular	sing_733.htm#SEC787
isWeyl	sing_755.htm#SEC809
isZeroElement	sing_2966.htm#SEC3047
isZeroFraction	sing_777.htm#SEC831
isZeroNcfrac	sing_704.htm#SEC758
is_NND	sing_1995.htm#SEC2076
is_NP	sing_1451.htm#SEC1532
is_active	sing_2035.htm#SEC2116
is_bijective	sing_1261.htm#SEC1342
is_cenBimodule	sing_721.htm#SEC775
is_cenSubbimodule	sing_722.htm#SEC776
is_ci	sing_2036.htm#SEC2117
is_complex	sing_1198.htm#SEC1279
is_composite	sing_1283.htm#SEC1364
is_fix_injective	sing_2409.htm#SEC2490
is_h_injective	sing_2408.htm#SEC2489
is_injective	sing_1259.htm#SEC1340
is_irred	sing_1992.htm#SEC2073
is_is	sing_2037.htm#SEC2118
is_nested	sing_1452.htm#SEC1533
is_prime	sing_2389.htm#SEC2470
is_primitive_root	sing_2385.htm#SEC2466
is_pure	sing_795.htm#SEC849
is_reg	sing_2038.htm#SEC2119
is_regs	sing_2039.htm#SEC2120
is_surjective	sing_1260.htm#SEC1341
is_zero	sing_1098.htm#SEC1179
isartinianMon	sing_1425.htm#SEC1506
isgenericMon	sing_1426.htm#SEC1507
ishyper	sing_2412.htm#SEC2493
isirreducibleMon	sing_1424.htm#SEC1505
isoncurve	sing_2413.htm#SEC2494
isparam	sing_2476.htm#SEC2557
isprimaryMon	sing_1423.htm#SEC1504
isprimeMon	sing_1422.htm#SEC1503
isuni	sing_2461.htm#SEC2542
ivmatGaussian	sing_2219.htm#SEC2300
ivmatGaussian2	sing_2155.htm#SEC2236
ivmatInit	sing_2216.htm#SEC2297
ivmatSet	sing_2217.htm#SEC2298
jacob	sing_279.htm#SEC319
jacoblift	sing_2011.htm#SEC2092
jacobson	sing_2326.htm#SEC2407
jacobson.lib	sing_2324.htm#SEC2405
jacobson_lib	sing_2324.htm#SEC2405
janet	sing_280.htm#SEC320
janet basis	sing_1569.htm#IDX684
jet	sing_281.htm#SEC321
jordan	sing_1245.htm#SEC1326
jordanVecField	sing_3094.htm#SEC3175
jordanbasis	sing_1246.htm#SEC1327
jordanmatrix	sing_1247.htm#SEC1328
jordannf	sing_1248.htm#SEC1329
jungfib	sing_1776.htm#SEC1857
jungnormal	sing_1775.htm#SEC1856
jungresolve	sing_1774.htm#SEC1855
katsura	sing_1096.htm#SEC1177
kbase	sing_282.htm#SEC322
kbase (plural)	sing_475.htm#SEC515
keepring	sing_399.htm#SEC439
kerHom	sing_1400.htm#SEC1481
kernel	sing_283.htm#SEC323
kernelLattice	sing_2949.htm#SEC3030
kill	sing_284.htm#SEC324
killTask	sing_1177.htm#SEC1258
killall	sing_1037.htm#SEC1118
killattrib	sing_285.htm#SEC325
kmemory	sing_1036.htm#SEC1117
kohom	sing_1340.htm#SEC1421
kontrahom	sing_1341.htm#SEC1422
koszul	sing_286.htm#SEC326
kskernel.lib	sing_2002.htm#SEC2083
kskernel_lib	sing_2002.htm#SEC2083
l-adic numbers	sing_32.htm#SEC46
laguerre	sing_287.htm#SEC327
laguerre_solve	sing_2174.htm#SEC2255
lastQuadrantComplex	sing_3073.htm#SEC3154
lastvarGeneral	sing_2442.htm#SEC2523
latex.lib	sing_2249.htm#SEC2330
latex_lib	sing_2249.htm#SEC2330
lattice	sing_2678.htm#IDX1075
latticeArea	sing_2581.htm#SEC2662
latticeBasis	sing_2950.htm#SEC3031
latticeIdeal	sing_1494.htm#SEC1575
latticePoints	sing_2760.htm#SEC2841
latticeToMonomials	sing_2761.htm#SEC2842
laxfrT	sing_2849.htm#SEC2930
laxfrX	sing_2850.htm#SEC2931
lazy, option	sing_324.htm#IDX158
lcm	sing_1099.htm#SEC1180
lcmMon	sing_1417.htm#SEC1498
lcmN	sing_2353.htm#SEC2434
lcmofall	sing_1756.htm#SEC1837
lead	sing_288.htm#SEC328
leadcoef	sing_289.htm#SEC329
leadexp	sing_290.htm#SEC330
leadmonom	sing_291.htm#SEC331
leadmonomial	sing_2428.htm#SEC2509
left annihilator ideal	sing_544.htm#IDX344
left annihilator ideal 	sing_600.htm#IDX372
leftInverse	sing_2315.htm#SEC2396
leftKernel	sing_2313.htm#SEC2394
leftOre	sing_768.htm#SEC822
length	sing_2214.htm#SEC2295
length, option	sing_324.htm#IDX159
length2	sing_2150.htm#SEC2231
letplaceGBasis	sing_888.htm#SEC942
letterplace	sing_301.htm#SEC341
letterplace 	sing_344.htm#SEC384
lex_solve	sing_2180.htm#SEC2261
lexicographical ordering	sing_985.htm#IDX455
lib2doc	sing_60.htm#SEC97
libSingular	sing_3110.htm#SEC3213
libcdd	sing_1.htm#IDX12
libfac	sing_1.htm#IDX6
libparse	sing_69.htm#SEC109
library	sing_2724.htm#IDX1116
library, gitfan, GIT, geometric invariant theory, quotients	sing_2542.htm#IDX984
library, info string	sing_55.htm#IDX124
library, polybori.lib	sing_2724.htm#IDX1113
library, ringgb.lib	sing_3013.htm#IDX1277
library, template	sing_55.htm#SEC92
library, template.lib	sing_55.htm#IDX122
lieBracket	sing_889.htm#SEC943
lift	sing_293.htm#SEC333
lift 	sing_502.htm#IDX320
lift (letterplace)	sing_816.htm#SEC870
lift (plural)	sing_476.htm#SEC516
lift_kbase	sing_1948.htm#SEC2029
lift_rel_kb	sing_1949.htm#SEC2030
liftenvelope	sing_505.htm#SEC559
liftstd	sing_294.htm#SEC334
liftstd (letterplace)	sing_817.htm#SEC871
liftstd (plural)	sing_477.htm#SEC517
likeIdeal	sing_2919.htm#SEC3000
likelihood ideal	sing_2918.htm#IDX1262
linReduce	sing_517.htm#SEC571
linReduceIdeal	sing_518.htm#SEC572
linSyzSolve	sing_519.htm#SEC573
linalg.lib	sing_1223.htm#SEC1304
linalg_lib	sing_1223.htm#SEC1304
linealityDimension	sing_2511.htm#SEC2592
linealitySpace	sing_2512.htm#SEC2593
linear algebra	sing_216.htm#SEC256
linear algebra 	sing_297.htm#SEC337
linear algebra  	sing_298.htm#SEC338
linear algebra   	sing_299.htm#SEC339
linear code, dual	sing_2284.htm#IDX967
linear code, systematic	sing_2285.htm#IDX968
linear interreduction	sing_509.htm#IDX335
linearCombinations	sing_538.htm#SEC592
linearMapKernel	sing_537.htm#SEC591
linear_relations	sing_1215.htm#SEC1296
linearlyEquivalent	sing_1671.htm#SEC1752
linearpart	sing_2166.htm#SEC2247
linesHypersurface	sing_1830.htm#SEC1911
link	sing_118.htm#SEC158
link 	sing_940.htm#SEC997
link declarations	sing_119.htm#SEC159
link expressions	sing_120.htm#SEC160
link related functions	sing_121.htm#SEC161
links	sing_3047.htm#IDX1293
list	sing_128.htm#SEC168
list 	sing_2822.htm#IDX1207
list  	sing_2823.htm#IDX1209
list declarations	sing_129.htm#SEC169
list expressions	sing_130.htm#SEC170
list operations	sing_131.htm#SEC171
list related functions	sing_132.htm#SEC172
lists	sing_2686.htm#IDX1082
lists, elements	sing_2688.htm#IDX1084
listvar	sing_295.htm#SEC335
lll	sing_2982.htm#SEC3063
load	sing_400.htm#SEC440
loadLib, option	sing_324.htm#IDX185
loadProc, option	sing_324.htm#IDX186
locAtZero	sing_1479.htm#SEC1560
locNormal	sing_1469.htm#SEC1550
locStatus	sing_763.htm#SEC817
local methods	sing_1469.htm#IDX660
local names	sing_46.htm#SEC83
local rings, computing in	sing_935.htm#SEC992
local weighted lexicographical ordering	sing_986.htm#IDX476
local weighted reverse lexicographical ordering	sing_986.htm#IDX473
localInvar	sing_2111.htm#SEC2192
localization	sing_935.htm#SEC992
localization 	sing_2658.htm#IDX1035
localization of D-module	sing_568.htm#IDX360
localization of D-module 	sing_675.htm#IDX399
locally closed set	sing_1054.htm#IDX500
locally closed set 	sing_1055.htm#IDX502
locally closed set  	sing_1056.htm#IDX504
locally closed set   	sing_1057.htm#IDX508
locally closed set    	sing_1071.htm#IDX546
locally closed set     	sing_1073.htm#IDX551
localstd	sing_2438.htm#SEC2519
locstd	sing_2040.htm#SEC2121
locus	sing_1059.htm#SEC1140
locus 	sing_1059.htm#IDX518
locus  	sing_1060.htm#IDX521
locus   	sing_1061.htm#IDX524
locus    	sing_1062.htm#IDX527
locus     	sing_1063.htm#IDX530
locus      	sing_1064.htm#IDX532
locus       	sing_1065.htm#IDX536
locusdg	sing_1060.htm#SEC1141
locusto	sing_1062.htm#SEC1143
log2	sing_2341.htm#SEC2422
logHessian	sing_2920.htm#SEC3001
logarithmic annihilator ideal	sing_544.htm#IDX349
logarithmic annihilator ideal 	sing_600.htm#IDX374
logg	sing_1835.htm#SEC1916
lp, global ordering	sing_985.htm#IDX454
lpCalcSubstDegBound	sing_878.htm#SEC932
lpDegBound	sing_881.htm#SEC935
lpDivision	sing_884.htm#SEC938
lpGBPres2Poly	sing_885.htm#SEC939
lpGkDim	sing_874.htm#SEC928
lpGlDimBound	sing_876.htm#SEC930
lpHilbert	sing_839.htm#SEC893
lpIsPrime	sing_873.htm#SEC927
lpIsSemiPrime	sing_872.htm#SEC926
lpKDim	sing_836.htm#SEC890
lpMonomialBasis	sing_838.htm#SEC892
lpNcgenCount	sing_883.htm#SEC937
lpNoetherian	sing_871.htm#SEC925
lpSubstitute	sing_877.htm#SEC931
lpVarBlockSize	sing_882.htm#SEC936
lprint	sing_1077.htm#SEC1158
lrcalc.lib	sing_2911.htm#SEC2992
lrcalc_lib	sing_2911.htm#SEC2992
lres	sing_296.htm#SEC336
ls, local ordering	sing_986.htm#IDX467
lsum	sing_1308.htm#SEC1389
ludecomp	sing_297.htm#SEC337
luinverse	sing_298.htm#SEC338
lusolve	sing_299.htm#SEC339
mRes	sing_1368.htm#SEC1449
m_merkle_hellman_decryption	sing_2400.htm#SEC2481
m_merkle_hellman_encryption	sing_2399.htm#SEC2480
m_merkle_hellman_transformation	sing_2398.htm#SEC2479
magnitude	sing_2335.htm#SEC2416
makeDivisor	sing_1663.htm#SEC1744
makeFormalDivisor	sing_1673.htm#SEC1754
makeGraph	sing_1299.htm#SEC1380
makeGraphVE	sing_1821.htm#SEC1902
makeHeisenberg	sing_743.htm#SEC797
makeIdeal	sing_1360.htm#SEC1441
makeLetterplaceRing	sing_887.htm#SEC941
makeLinks	sing_3047.htm#SEC3128
makeMalgrange	sing_612.htm#SEC666
makeMatrix	sing_1359.htm#SEC1440
makeModElimRing	sing_760.htm#SEC814
makePDivisor	sing_1679.htm#SEC1760
makePoly	sing_2995.htm#SEC3076
makePuiseux	sing_3009.htm#SEC3090
makePuiseuxFromPoly	sing_3010.htm#SEC3091
makeQPoly	sing_3044.htm#SEC3125
makeQsl2	sing_646.htm#SEC700
makeQsl3	sing_647.htm#SEC701
makeQso3	sing_645.htm#SEC699
makeSheaf	sing_1809.htm#SEC1890
makeUe6	sing_642.htm#SEC696
makeUe7	sing_643.htm#SEC697
makeUe8	sing_644.htm#SEC698
makeUf4	sing_641.htm#SEC695
makeUg2	sing_640.htm#SEC694
makeUgl	sing_626.htm#SEC680
makeUsl	sing_625.htm#SEC679
makeUsl2	sing_624.htm#SEC678
makeUso10	sing_632.htm#SEC686
makeUso11	sing_633.htm#SEC687
makeUso12	sing_634.htm#SEC688
makeUso5	sing_627.htm#SEC681
makeUso6	sing_628.htm#SEC682
makeUso7	sing_629.htm#SEC683
makeUso8	sing_630.htm#SEC684
makeUso9	sing_631.htm#SEC685
makeUsp1	sing_635.htm#SEC689
makeUsp2	sing_636.htm#SEC690
makeUsp3	sing_637.htm#SEC691
makeUsp4	sing_638.htm#SEC692
makeUsp5	sing_639.htm#SEC693
makeVariety	sing_1801.htm#SEC1882
makeVector	sing_1388.htm#SEC1469
makeWeyl	sing_742.htm#SEC796
makedistinguished	sing_1286.htm#SEC1367
map	sing_133.htm#SEC173
map (plural)	sing_439.htm#SEC479
map declarations	sing_134.htm#SEC174
map declarations (plural)	sing_440.htm#SEC480
map expressions	sing_135.htm#SEC175
map expressions (plural)	sing_441.htm#SEC481
map operations	sing_136.htm#IDX129
map operations (plural)	sing_442.htm#IDX315
map related functions	sing_137.htm#IDX131
map related functions  (plural)	sing_443.htm#IDX316
mapIsFinite	sing_1263.htm#SEC1344
mapToRatNormCurve	sing_1731.htm#SEC1812
mapall	sing_1157.htm#SEC1238
mappingcone	sing_2900.htm#SEC2981
mappingcone3	sing_2902.htm#SEC2983
markov4ti2	sing_1581.htm#SEC1662
mat2arr	sing_2643.htm#SEC2724
mat2carr	sing_2644.htm#SEC2725
mat_rk	sing_1237.htm#SEC1318
matbil	sing_2449.htm#SEC2530
mathematical objects	sing_981.htm#SEC1038
mathinit	sing_2247.htm#SEC2328
matmult	sing_2450.htm#SEC2531
matrix	sing_138.htm#SEC178
matrix 	sing_2643.htm#IDX1003
matrix  	sing_2644.htm#IDX1006
matrix   	sing_2645.htm#IDX1010
matrix declarations	sing_139.htm#SEC179
matrix diagonalization	sing_2324.htm#IDX978
matrix expressions	sing_140.htm#SEC180
matrix operations	sing_142.htm#SEC182
matrix related functions	sing_143.htm#SEC183
matrix type cast	sing_141.htm#SEC181
matrix.lib	sing_1191.htm#SEC1272
matrixExp	sing_1721.htm#SEC1802
matrixLog	sing_1722.htm#SEC1803
matrixT1	sing_2054.htm#SEC2135
matrix_lib	sing_1191.htm#SEC1272
matrixpres	sing_2905.htm#SEC2986
matrixsystem	sing_2860.htm#SEC2941
max	sing_300.htm#SEC340
maxEord	sing_1746.htm#SEC1827
maxExp	sing_215.htm#IDX136
maxIntRoot	sing_692.htm#SEC746
maxPoints	sing_2922.htm#SEC3003
maxPointsProb	sing_2923.htm#SEC3004
maxZeros	sing_1724.htm#SEC1805
maxabs	sing_2468.htm#SEC2549
maxcoef	sing_1100.htm#SEC1181
maxdeg	sing_1101.htm#SEC1182
maxdeg1	sing_1102.htm#SEC1183
maxideal	sing_301.htm#SEC341
maximalGroebnerCone	sing_2624.htm#SEC2705
maximum likelihood estimate	sing_2918.htm#IDX1263
maximum number of zeroes	sing_1724.htm#IDX740
maxlike.lib	sing_2918.htm#SEC2999
maxlike_lib	sing_2918.htm#SEC2999
mdouble	sing_56.htm#SEC93
mem, option	sing_324.htm#IDX187
member	sing_2688.htm#SEC2769
memberpos	sing_1116.htm#SEC1197
membershipMon	sing_1418.htm#SEC1499
memory	sing_302.htm#SEC342
memory management	sing_302.htm#SEC342
merkle_hellman_decryption	sing_2402.htm#SEC2483
merkle_hellman_encryption	sing_2401.htm#SEC2482
methods, hashtables	sing_2692.htm#IDX1087
methods.lib	sing_2692.htm#SEC2773
methods_lib	sing_2692.htm#SEC2773
midpoint	sing_2856.htm#SEC2937
milnor	sing_2041.htm#SEC2122
milnor number	sing_2753.htm#IDX1144
milnorNNB	sing_2780.htm#SEC2861
milnorcode	sing_1896.htm#SEC1977
milnornumber	sing_2027.htm#SEC2108
min	sing_303.htm#SEC343
minAss	sing_1536.htm#SEC1617
minAssChar	sing_1534.htm#SEC1615
minAssCharE	sing_1535.htm#SEC1616
minAssGTZ	sing_1532.htm#SEC1613
minAssGTZE	sing_1533.htm#SEC1614
minAssZ	sing_1553.htm#SEC1634
minEcart	sing_2431.htm#SEC2512
minIntRoot	sing_566.htm#SEC620
minIntRoot2	sing_691.htm#SEC745
minMult	sing_1270.htm#SEC1351
minbase	sing_304.htm#SEC344
minbaseMon	sing_1415.htm#SEC1496
mindeg	sing_1103.htm#SEC1184
mindeg1	sing_1104.htm#SEC1185
mindist	sing_2299.htm#SEC2380
minimal display time, setting the	sing_368.htm#IDX296
minimal generating set	sing_304.htm#SEC344
minimal generating set 	sing_313.htm#SEC353
minimal representations	sing_896.htm#IDX453
minimalAfaceOrbits	sing_2555.htm#SEC2636
minimalAfaces	sing_2546.htm#SEC2627
minimalOrbitConeOrbits	sing_2557.htm#SEC2638
minipoly	sing_1242.htm#SEC1323
minor	sing_305.htm#SEC345
minpoly	sing_408.htm#SEC448
minres	sing_306.htm#SEC346
minres (plural)	sing_478.htm#SEC518
minus	sing_2811.htm#IDX1183
minus 	sing_2812.htm#IDX1185
minus  	sing_2833.htm#IDX1231
minus   	sing_2834.htm#IDX1233
mirror symmetry	sing_1298.htm#IDX611
mirror symmetry 	sing_3076.htm#IDX1301
mixed Hodge structure	sing_1956.htm#IDX826
mixed Hodge structure 	sing_1962.htm#IDX854
mixed Hodge structure  	sing_1963.htm#IDX860
mixed Hodge structure   	sing_1964.htm#IDX868
mixed Hodge structure    	sing_1965.htm#IDX874
mixed Hodge structure     	sing_1966.htm#IDX882
mixed Hodge structure      	sing_1967.htm#IDX892
mixed Hodge structure       	sing_1978.htm#IDX898
mixed Hodge structure        	sing_1980.htm#IDX909
mod	sing_81.htm#SEC121
mod 	sing_103.htm#SEC143
mod  	sing_152.htm#SEC192
mod   	sing_160.htm#SEC200
mod2id	sing_1108.htm#SEC1189
modBorder	sing_1571.htm#SEC1652
modDec	sing_1434.htm#SEC1515
modFinduni	sing_2925.htm#SEC3006
modGB	sing_1410.htm#SEC1491
modIntersect	sing_1412.htm#SEC1493
modJanet	sing_1573.htm#SEC1654
modNPos	sing_1462.htm#SEC1543
modNormal	sing_1470.htm#SEC1551
modNpos_test	sing_1460.htm#SEC1541
modQuotient	sing_1353.htm#SEC1434
modSagbiAlg	sing_1918.htm#SEC1999
modSat	sing_1354.htm#SEC1435
modStd	sing_1409.htm#SEC1490
modSyz	sing_1411.htm#SEC1492
modVStd	sing_1929.htm#SEC2010
modVStd0	sing_1930.htm#SEC2011
modWalk	sing_2927.htm#SEC3008
mod_versal	sing_1947.htm#SEC2028
modality	sing_1904.htm#SEC1985
modality 	sing_2753.htm#IDX1141
modalityNNB	sing_2779.htm#SEC2860
modberlekampMassey	sing_1314.htm#SEC1395
moddiq.lib	sing_1352.htm#SEC1433
moddiq_lib	sing_1352.htm#SEC1433
modfWalk	sing_2929.htm#SEC3010
modfinduni.lib	sing_2924.htm#SEC3005
modfinduni_lib	sing_2924.htm#SEC3005
modfrWalk	sing_2930.htm#SEC3011
modrWalk	sing_2928.htm#SEC3009
modrationalInterpolation	sing_1312.htm#SEC1393
modregCM	sing_1466.htm#SEC1547
modsatiety	sing_1464.htm#SEC1545
modstd.lib	sing_1408.htm#SEC1489
modstd_lib	sing_1408.htm#SEC1489
modular	sing_1086.htm#SEC1167
modular methods.	sing_1469.htm#IDX661
modular techniques.	sing_1470.htm#IDX663
modular.lib	sing_1085.htm#SEC1166
modular_lib	sing_1085.htm#SEC1166
modular_lib 	sing_1085.htm#IDX555
module	sing_144.htm#SEC184
module (plural)	sing_444.htm#SEC484
module declarations	sing_145.htm#SEC185
module declarations (plural)	sing_445.htm#SEC485
module expressions	sing_146.htm#SEC186
module expressions (plural)	sing_446.htm#SEC486
module operations	sing_147.htm#SEC187
module operations (plural)	sing_447.htm#SEC487
module ordering C	sing_987.htm#IDX479
module ordering c	sing_987.htm#IDX481
module related functions	sing_148.htm#SEC188
module related functions (plural)	sing_448.htm#SEC488
module_containment	sing_1255.htm#SEC1336
modules.lib	sing_1355.htm#SEC1436
modules_lib	sing_1355.htm#SEC1436
moduliMonomials	sing_2783.htm#SEC2864
moduliSpace	sing_1823.htm#SEC1904
modulo	sing_307.htm#SEC347
modulo (letterplace)	sing_818.htm#SEC872
modulo (plural)	sing_479.htm#SEC519
moduloSlim	sing_750.htm#SEC804
modwalk.lib	sing_2926.htm#SEC3007
modwalk_lib	sing_2926.htm#SEC3007
moebius	sing_2679.htm#SEC2760
moebius function	sing_2679.htm#IDX1076
molien	sing_2077.htm#SEC2158
mondim	sing_674.htm#SEC728
mondromy.lib	sing_2008.htm#SEC2089
mondromy_lib	sing_2008.htm#SEC2089
monic	sing_1348.htm#SEC1429
monitor	sing_308.htm#SEC348
monodromy	sing_1956.htm#IDX830
monodromy 	sing_1961.htm#SEC2042
monodromy  	sing_1961.htm#IDX850
monodromy   	sing_1966.htm#IDX885
monodromy    	sing_1978.htm#IDX901
monodromy     	sing_1980.htm#IDX912
monodromyB	sing_2012.htm#SEC2093
monoideal, dimension	sing_674.htm#IDX392
monomial	sing_309.htm#SEC349
monomial ordering	sing_1166.htm#IDX581
monomial orderings	sing_935.htm#SEC992
monomial orderings 	sing_984.htm#SEC1041
monomial orderings introduction	sing_983.htm#SEC1040
monomial output	sing_412.htm#SEC452
monomial, write	sing_412.htm#SEC452
monomialInIdeal	sing_689.htm#SEC743
monomialLcm	sing_2429.htm#SEC2510
monomialabortstd	sing_2690.htm#SEC2771
monomialideal.lib	sing_1413.htm#SEC1494
monomialideal_lib	sing_1413.htm#SEC1494
monomials	sing_2755.htm#SEC2836
monomials and precedence	sing_429.htm#IDX305
mons2intmat	sing_1517.htm#SEC1598
morsesplit	sing_1897.htm#SEC1978
movingCone	sing_2553.htm#SEC2634
mp_res_mat	sing_2177.htm#SEC2258
mplot	sing_2248.htm#SEC2329
mpresmat	sing_310.htm#SEC350
mprimdec.lib	sing_1430.htm#SEC1511
mprimdec_lib	sing_1430.htm#SEC1511
mrcgs	sing_1125.htm#SEC1206
mrcgs, rcgs, buildtree, cantreetoMaple, cantodiffcgs	sing_1127.htm#IDX573
mrcgs, rcgs, crcgs, Maple	sing_1128.htm#IDX574
mregular.lib	sing_1445.htm#SEC1526
mregular_lib	sing_1445.htm#SEC1526
mres	sing_311.htm#SEC351
mres (plural)	sing_480.htm#SEC520
mres_map	sing_312.htm#SEC352
mstd	sing_313.htm#SEC353
msum	sing_58.htm#SEC95
mtriple	sing_57.htm#SEC94
mult	sing_314.htm#SEC354
mult 	sing_429.htm#IDX306
multBound	sing_409.htm#SEC449
multIdeals	sing_2909.htm#SEC2990
multPoly	sing_3000.htm#SEC3081
multRat	sing_697.htm#SEC751
multarr2arr	sing_2674.htm#SEC2755
multarrMultRestrict	sing_2676.htm#SEC2757
multarrRestrict	sing_2675.htm#SEC2756
multcol	sing_1209.htm#SEC1290
multdivisor	sing_1665.htm#SEC1746
multformaldivisor	sing_1677.htm#SEC1758
multi	sing_2416.htm#SEC2497
multi indices	sing_37.htm#SEC65
multi-graded Hilbert series	sing_893.htm#IDX447
multiDeg	sing_2961.htm#SEC3042
multiDegBasis	sing_2962.htm#SEC3043
multiDegGroebner	sing_2970.htm#SEC3051
multiDegModulo	sing_2972.htm#SEC3053
multiDegPartition	sing_2963.htm#SEC3044
multiDegResolution	sing_2973.htm#SEC3054
multiDegSyzygy	sing_2971.htm#SEC3052
multiDegTensor	sing_2974.htm#SEC3055
multiDegTor	sing_2975.htm#SEC3056
multiarrangement	sing_2670.htm#IDX1056
multiarrangement 	sing_2671.htm#IDX1058
multiarrangement  	sing_2672.htm#IDX1061
multiarrangement   	sing_2673.htm#IDX1062
multiarrangement    	sing_2674.htm#IDX1065
multiarrangement     	sing_2675.htm#IDX1068
multiarrangement      	sing_2676.htm#IDX1070
multidimensional_knapsack	sing_2394.htm#SEC2475
multigrading, multidegree, multiweights, multigraded-homogeneous, integral linear algebra	sing_2931.htm#IDX1268
multigrading.lib	sing_2931.htm#IDX1266
multigrading_lib	sing_2931.htm#IDX1267
multipleCover	sing_1829.htm#SEC1910
multiplication	sing_2813.htm#IDX1187
multiplication 	sing_2835.htm#IDX1235
multiplicities, sequence of	sing_1987.htm#IDX924
multiplicity	sing_668.htm#IDX387
multiplicity 	sing_1277.htm#IDX601
multiplicity sequence	sing_1868.htm#IDX797
multiplicity sequence 	sing_1871.htm#IDX809
multiplicity sequence  	sing_1989.htm#IDX925
multiplyLeftFractions	sing_773.htm#SEC827
multiplylist	sing_1766.htm#SEC1847
multivariate equations	sing_2142.htm#IDX949
multivariate equations 	sing_2842.htm#IDX1250
multrow	sing_1210.htm#SEC1291
multseq2charexp	sing_1867.htm#SEC1948
multsequence	sing_1989.htm#SEC2070
naccache_stern_decryption	sing_2397.htm#SEC2478
naccache_stern_encryption	sing_2396.htm#SEC2477
naccache_stern_generation	sing_2395.htm#SEC2476
nameof	sing_315.htm#SEC355
names	sing_316.htm#SEC356
nashmult	sing_1875.htm#SEC1956
nblocks	sing_368.htm#IDX228
ncExt_R	sing_716.htm#SEC770
ncHilb	sing_669.htm#SEC723
ncHilb.lib	sing_893.htm#SEC947
ncHilb_lib	sing_893.htm#SEC947
ncHilbertMultiplicity	sing_672.htm#SEC726
ncHilbertPolynomial	sing_671.htm#SEC725
ncHilbertSeries	sing_670.htm#SEC724
ncHom	sing_717.htm#SEC771
ncInit	sing_897.htm#SEC951
ncModslimgb.lib	sing_727.htm#SEC781
ncModslimgb_lib	sing_727.htm#SEC781
ncRelations	sing_751.htm#SEC805
ncVarsAdd	sing_899.htm#SEC953
ncVarsGet	sing_898.htm#SEC952
nc_algebra	sing_481.htm#SEC521
nc_hilb	sing_368.htm#IDX230
ncalg.lib	sing_623.htm#SEC677
ncalg_lib	sing_623.htm#SEC677
ncalgebra	sing_482.htm#SEC522
ncdecomp.lib	sing_650.htm#SEC704
ncdecomp_lib	sing_650.htm#SEC704
ncdetection	sing_617.htm#SEC671
ncfactor	sing_656.htm#SEC710
ncfactor.lib	sing_655.htm#SEC709
ncfactor_lib	sing_655.htm#SEC709
ncfrac.lib	sing_701.htm#SEC755
ncfrac_lib	sing_701.htm#SEC755
ncgen	sing_819.htm#SEC873
nchilb	sing_894.htm#SEC948
nchilbert.lib	sing_668.htm#SEC722
nchilbert_lib	sing_668.htm#SEC722
nchomolog.lib	sing_715.htm#IDX405
nchomolog_lib	sing_715.htm#IDX406
ncloc.lib	sing_723.htm#SEC777
ncloc_lib	sing_723.htm#SEC777
ncmodslimgb	sing_728.htm#SEC782
ncols	sing_317.htm#SEC357
ncones	sing_2535.htm#SEC2616
ncpreim.lib	sing_729.htm#SEC783
ncpreim_lib	sing_729.htm#SEC783
ncrat.lib	sing_896.htm#IDX448
ncratAdd	sing_901.htm#SEC955
ncratDefine	sing_900.htm#SEC954
ncratEvaluateAt	sing_910.htm#SEC964
ncratFromPoly	sing_908.htm#SEC962
ncratFromString	sing_907.htm#SEC961
ncratInvert	sing_904.htm#SEC958
ncratMultiply	sing_903.htm#SEC957
ncratPower	sing_909.htm#SEC963
ncratPrint	sing_906.htm#SEC960
ncratSPrint	sing_905.htm#SEC959
ncratSubstract	sing_902.htm#SEC956
ncrat_lib	sing_896.htm#IDX449
ncrepAdd	sing_912.htm#SEC966
ncrepDim	sing_917.htm#SEC971
ncrepEvaluate	sing_919.htm#SEC973
ncrepEvaluateAt	sing_920.htm#SEC974
ncrepGet	sing_911.htm#SEC965
ncrepGetRegularMinimal	sing_927.htm#SEC981
ncrepGetRegularZeroMinimal	sing_926.htm#SEC980
ncrepInvert	sing_915.htm#SEC969
ncrepIsDefined	sing_922.htm#SEC976
ncrepIsDefinedDim	sing_921.htm#SEC975
ncrepIsRegular	sing_923.htm#SEC977
ncrepMultiply	sing_914.htm#SEC968
ncrepPencilCombine	sing_929.htm#SEC983
ncrepPencilGet	sing_928.htm#SEC982
ncrepPrint	sing_916.htm#SEC970
ncrepRegularMinimize	sing_925.htm#SEC979
ncrepRegularZeroMinimize	sing_924.htm#SEC978
ncrepSubstitute	sing_918.htm#SEC972
ncrepSubstract	sing_913.htm#SEC967
nctools.lib	sing_737.htm#SEC791
nctools_lib	sing_737.htm#SEC791
ndcond	sing_740.htm#SEC794
negateNcfrac	sing_710.htm#SEC764
negatedCone	sing_2513.htm#SEC2594
negation	sing_2812.htm#IDX1186
negative degree lexicographical ordering	sing_986.htm#IDX470
negative degree reverse lexicographical ordering	sing_986.htm#IDX468
negative lexicographical ordering	sing_986.htm#IDX466
negativedivisor	sing_1666.htm#SEC1747
negativeformaldivisor	sing_1676.htm#SEC1757
net	sing_2693.htm#IDX1088
net 	sing_2695.htm#SEC2776
net access	sing_19.htm#IDX40
netBigInt	sing_2701.htm#SEC2782
netBigIntMat	sing_2696.htm#SEC2777
netBigIntMatShort	sing_2697.htm#SEC2778
netCoefficientRing	sing_2698.htm#SEC2779
netIdeal	sing_2699.htm#SEC2780
netInt	sing_2700.htm#SEC2781
netIntMat	sing_2702.htm#SEC2783
netIntMatShort	sing_2703.htm#SEC2784
netIntVector	sing_2704.htm#SEC2785
netIntVectorShort	sing_2705.htm#SEC2786
netList	sing_2707.htm#SEC2788
netMap	sing_2708.htm#SEC2789
netMap2	sing_2709.htm#SEC2790
netMatrix	sing_1390.htm#SEC1471
netNumber	sing_2706.htm#SEC2787
netPoly	sing_2712.htm#SEC2793
netPrimePower	sing_2713.htm#SEC2794
netRing	sing_2714.htm#SEC2795
netString	sing_2715.htm#SEC2796
netVector	sing_1389.htm#SEC1470
netmatrix	sing_2710.htm#SEC2791
netmatrixShort	sing_2711.htm#SEC2792
nets.lib	sing_2693.htm#SEC2774
nets_lib	sing_2693.htm#SEC2774
netvector	sing_2716.htm#SEC2797
netvectorShort	sing_2717.htm#SEC2798
newline	sing_177.htm#SEC217
news	sing_3103.htm#SEC3184
newstruct	sing_188.htm#SEC228
newstruct 	sing_2724.htm#IDX1118
newtonDiag	sing_1112.htm#SEC1193
newtonNumber	sing_2786.htm#SEC2867
newtonPolygon	sing_2757.htm#SEC2838
newtonPolygonNegSlopes	sing_2633.htm#SEC2714
newtonPolytope	sing_2539.htm#SEC2620
newtonpoly	sing_1994.htm#SEC2075
nextHodgeIdeal	sing_2910.htm#SEC2991
nf_icis	sing_2042.htm#SEC2123
nfmodStd	sing_1455.htm#SEC1536
nfmodSyz	sing_1457.htm#SEC1538
nfmodstd.lib	sing_1453.htm#SEC1534
nfmodstd_lib	sing_1453.htm#SEC1534
nfmodsyz.lib	sing_1456.htm#SEC1537
nfmodsyz_lib	sing_1456.htm#SEC1537
nilpotent Lie algebras	sing_1719.htm#IDX725
nmaxcones	sing_2534.htm#SEC2615
noElements	sing_3017.htm#SEC3098
noether	sing_410.htm#SEC450
noether.lib	sing_1458.htm#SEC1539
noetherNormal	sing_1262.htm#SEC1343
noether_lib	sing_1458.htm#SEC1539
non-english special characters	sing_418.htm#IDX298
nonMonomials	sing_1522.htm#SEC1603
nonZeroEntry	sing_1265.htm#SEC1346
noncommutative, rational expressions	sing_896.htm#IDX450
nondegeneratePart	sing_2775.htm#SEC2856
none, option	sing_324.htm#IDX152
norTest	sing_1480.htm#SEC1561
norm	sing_2415.htm#SEC2496
normaform (up to a bound)	sing_368.htm#IDX253
normal	sing_1468.htm#SEC1549
normal bundle, graph, rational curves, multiple covers, lines on	sing_1828.htm#IDX776
normal form	sing_993.htm#IDX482
normal form 	sing_2753.htm#IDX1145
normal form equation	sing_2753.htm#IDX1146
normal integral closure.	sing_1485.htm#IDX674
normal.lib	sing_1467.htm#SEC1548
normalBundle	sing_1828.htm#SEC1909
normalC	sing_1472.htm#SEC1553
normalConductor	sing_1484.htm#SEC1565
normalForm	sing_1667.htm#SEC1748
normalForm 	sing_2769.htm#SEC2850
normalFormEquation	sing_2773.htm#SEC2854
normalFormEquationUpToRescaling	sing_2774.htm#SEC2855
normalI	sing_1568.htm#SEC1649
normalP	sing_1471.htm#SEC1552
normalToricRing	sing_1488.htm#SEC1569
normalToricRingFromBinomials	sing_1489.htm#SEC1570
normal_lib	sing_1467.htm#SEC1548
normalform	sing_1901.htm#SEC1982
normalform 	sing_1917.htm#IDX819
normaliz	sing_1.htm#IDX14
normaliz 	sing_1508.htm#SEC1589
normaliz.lib	sing_1486.htm#SEC1567
normaliz_lib	sing_1486.htm#SEC1567
normalization	sing_1276.htm#IDX599
normalization 	sing_1468.htm#IDX656
normalization  	sing_1469.htm#IDX659
normalization   	sing_1470.htm#IDX662
normalization    	sing_1471.htm#IDX664
normalization     	sing_1472.htm#IDX667
normalization      	sing_1484.htm#IDX673
normalization       	sing_1486.htm#IDX676
normalization.	sing_1346.htm#IDX643
normalization. 	sing_1726.htm#IDX747
normalize	sing_1105.htm#SEC1186
normalizeMonoidal	sing_779.htm#SEC833
normalizeRational	sing_780.htm#SEC834
not	sing_106.htm#SEC146
not equal	sing_2816.htm#IDX1194
not equal 	sing_2837.htm#IDX1241
notBuckets, option	sing_324.htm#IDX166
notRegularity, option	sing_324.htm#IDX160
notSugar, option	sing_324.htm#IDX165
notWarnSB, option	sing_324.htm#IDX188
not_tricks, option	sing_324.htm#IDX161
npar	sing_2334.htm#SEC2415
npars	sing_318.htm#SEC358
nrRootsDeterm	sing_2446.htm#SEC2527
nrRootsProbab	sing_2445.htm#SEC2526
nres	sing_319.htm#SEC359
nres (plural)	sing_483.htm#SEC523
nrows	sing_320.htm#SEC360
nrroots	sing_2475.htm#SEC2556
nsatiety	sing_1463.htm#SEC1544
nselect	sing_1293.htm#SEC1374
nt_solve	sing_2192.htm#SEC2273
ntsolve.lib	sing_2191.htm#SEC2272
ntsolve_lib	sing_2191.htm#SEC2272
num_elim	sing_2209.htm#SEC2290
num_elim1	sing_2210.htm#SEC2291
num_prime_decom	sing_2203.htm#SEC2284
num_prime_decom1	sing_2204.htm#SEC2285
num_radical1	sing_2207.htm#SEC2288
num_radical2	sing_2208.htm#SEC2289
num_radical_via_decom	sing_2205.htm#SEC2286
num_radical_via_randlincom	sing_2206.htm#SEC2287
number	sing_149.htm#SEC189
number 	sing_2647.htm#IDX1016
number declarations	sing_150.htm#SEC190
number expressions	sing_151.htm#SEC191
number operations	sing_152.htm#SEC192
number related functions	sing_153.htm#SEC193
numberOfConesOfDimension	sing_2536.htm#SEC2617
number_e	sing_1038.htm#SEC1119
number_pi	sing_1039.htm#SEC1120
numerAlg.lib	sing_1701.htm#IDX714
numerAlg_lib	sing_1701.htm#IDX715
numerAlg_lib 	sing_1706.htm#IDX724
numerDecom.lib	sing_1706.htm#IDX718
numerDecom_lib	sing_1701.htm#IDX717
numerDecom_lib 	sing_1706.htm#IDX719
numerator	sing_321.htm#SEC361
numerical algebraic geometry	sing_2194.htm#IDX951
numerical irreducible decomposition	sing_1706.htm#IDX720
nvars	sing_322.htm#SEC362
olga.lib	sing_762.htm#SEC816
olga_lib	sing_762.htm#SEC816
oneDimBelongSemigroup	sing_1272.htm#SEC1353
oneNcfrac	sing_707.htm#SEC761
onesVector	sing_2541.htm#SEC2622
online help	sing_16.htm#SEC22
open	sing_323.htm#SEC363
openSSI	sing_3034.htm#SEC3115
opentex	sing_2251.htm#SEC2332
operatorAlgebra	sing_842.htm#SEC896
operatorBM	sing_552.htm#SEC606
operatorModulo	sing_553.htm#SEC607
oppose	sing_484.htm#SEC524
opposite	sing_485.htm#SEC525
opposite polynomial	sing_368.htm#IDX238
opposite ring	sing_368.htm#IDX235
option	sing_324.htm#SEC364
option Imap	sing_324.htm#IDX182
option(warn)	sing_70.htm#SEC110
optionIsSet	sing_1163.htm#SEC1244
or	sing_106.htm#SEC146
or 	sing_422.htm#SEC462
orbit	sing_1719.htm#IDX727
orbit 	sing_1720.htm#IDX731
orbit  	sing_1723.htm#IDX736
orbit   	sing_1724.htm#IDX739
orbitConeOrbits	sing_2556.htm#SEC2637
orbitCones	sing_2547.htm#SEC2628
orbit_variety	sing_2101.htm#SEC2182
orbitparam.lib	sing_1719.htm#SEC1800
orbitparam_lib	sing_1719.htm#SEC1800
ord	sing_325.htm#SEC365
ord_test	sing_1158.htm#SEC1239
order ideal, border basis	sing_1570.htm#IDX685
order ideal, border basis 	sing_1571.htm#IDX686
ordering	sing_2801.htm#IDX1163
ordering 	sing_2817.htm#IDX1197
ordering  	sing_2818.htm#IDX1200
orderings	sing_984.htm#SEC1041
orderings introduction	sing_983.htm#SEC1040
orderings, L	sing_991.htm#SEC1048
orderings, M	sing_988.htm#SEC1045
orderings, a	sing_990.htm#SEC1047
orderings, global	sing_985.htm#SEC1042
orderings, local	sing_986.htm#SEC1043
orderings, product	sing_989.htm#SEC1046
ordstr	sing_326.htm#SEC366
origin	sing_2484.htm#SEC2565
orthogonalize	sing_1228.htm#SEC1309
outer	sing_1199.htm#SEC1280
output	sing_41.htm#SEC71
outputting monomials	sing_412.htm#SEC452
p-adic numbers	sing_32.htm#SEC46
pFactor	sing_2370.htm#SEC2451
pIntersect	sing_515.htm#SEC569
pIntersectSyz	sing_516.htm#SEC570
package	sing_154.htm#SEC194
package declarations	sing_155.htm#SEC195
package related functions	sing_156.htm#SEC196
pairset	sing_2435.htm#SEC2516
par	sing_327.htm#SEC367
par2varRing	sing_1021.htm#SEC1102
paraConic	sing_1734.htm#SEC1815
paraPlaneCurve	sing_1728.htm#SEC1809
parallel computing	sing_3056.htm#IDX1296
parallel skeletons	sing_1087.htm#IDX561
parallel.lib	sing_1087.htm#SEC1168
parallelTestAND	sing_1091.htm#SEC1172
parallelTestOR	sing_1092.htm#SEC1173
parallelWaitAll	sing_1090.htm#SEC1171
parallelWaitFirst	sing_1089.htm#SEC1170
parallelWaitN	sing_1088.htm#SEC1169
parallel_lib	sing_1087.htm#SEC1168
parallelization	sing_1087.htm#IDX560
parallelization 	sing_1142.htm#IDX575
parallelization  	sing_1175.htm#IDX585
param	sing_1985.htm#SEC2066
parameter, as numbers	sing_149.htm#SEC189
parameter, default	sing_44.htm#SEC81
parameter, optional	sing_44.htm#SEC81
parameterSubstitute	sing_2619.htm#SEC2700
parametric annihilator	sing_544.htm#IDX350
parametric annihilator for variety	sing_608.htm#IDX380
parametric ideal	sing_1050.htm#IDX488
parametric ideal 	sing_1057.htm#IDX507
parametric ideal  	sing_1057.htm#IDX509
parametric ideal   	sing_1058.htm#IDX514
parametrization	sing_1719.htm#IDX728
parametrization 	sing_1723.htm#IDX737
parametrization  	sing_1985.htm#IDX919
parametrizeOrbit	sing_1723.htm#SEC1804
paraplanecurves.lib	sing_1725.htm#SEC1806
paraplanecurves_lib	sing_1725.htm#SEC1806
pardeg	sing_328.htm#SEC368
parstr	sing_329.htm#SEC369
part	sing_1649.htm#SEC1730
partOver	sing_1652.htm#SEC1733
partUnder	sing_1653.htm#SEC1734
partial fraction	sing_2983.htm#IDX1269
partial_molien	sing_2079.htm#SEC2160
partitions	sing_1306.htm#SEC1387
partitions 	sing_1306.htm#IDX632
path	sing_3112.htm#SEC3215
path integral	sing_1298.htm#IDX617
paths	sing_3112.htm#SEC3215
pause	sing_1084.htm#SEC1165
pdivi	sing_1052.htm#SEC1133
pdivi 	sing_1053.htm#IDX498
pdivi2	sing_1118.htm#SEC1199
permcol	sing_1211.htm#SEC1292
permrow	sing_1212.htm#SEC1293
permutationFromIntvec	sing_2562.htm#SEC2643
permutationToIntvec	sing_2563.htm#SEC2644
permutations	sing_1307.htm#IDX633
permutations, sum, max, min	sing_2685.htm#IDX1081
permute	sing_1307.htm#SEC1388
permute_L	sing_2286.htm#SEC2367
perron	sing_784.htm#SEC838
perron.lib	sing_783.htm#SEC837
perron_lib	sing_783.htm#SEC837
pfd	sing_2984.htm#SEC3065
pfd.lib	sing_2983.htm#SEC3064
pfdMat	sing_2992.htm#SEC3073
pfd_lib	sing_2983.htm#SEC3064
phindex.lib	sing_2719.htm#SEC2800
phindex_lib	sing_2719.htm#SEC2800
picksFormula	sing_2582.htm#SEC2663
pid	sing_368.htm#IDX247
piecewiseJet	sing_2766.htm#SEC2847
piecewiseOrd	sing_2764.htm#SEC2845
piecewiseWeightOfPolygon	sing_2763.htm#SEC2844
piecewisedegree	sing_2765.htm#SEC2846
plainInvariants	sing_1944.htm#SEC2025
planeCur	sing_1915.htm#SEC1996
plot	sing_2264.htm#SEC2345
plotRot	sing_2268.htm#SEC2349
plotRotated	sing_2267.htm#SEC2348
plotRotatedDirect	sing_2270.htm#SEC2351
plotRotatedList	sing_2269.htm#SEC2350
plotRotatedListFromSpecifyList	sing_2271.htm#SEC2352
plural	sing_1165.htm#IDX580
pmat	sing_1078.htm#SEC1159
pnormalf	sing_1053.htm#SEC1134
pnormalform	sing_1121.htm#SEC1202
pointid.lib	sing_1521.htm#SEC1602
pointid_lib	sing_1521.htm#SEC1602
points	sing_2843.htm#SEC2924
polSol	sing_681.htm#SEC735
polSolFiniteRank	sing_682.htm#SEC736
pollTask	sing_1185.htm#SEC1266
poly	sing_157.htm#SEC197
poly (plural)	sing_449.htm#SEC489
poly declarations	sing_158.htm#SEC198
poly declarations (plural)	sing_450.htm#SEC490
poly expressions	sing_159.htm#SEC199
poly expressions (plural)	sing_451.htm#SEC491
poly operations	sing_160.htm#SEC200
poly operations (plural)	sing_452.htm#SEC492
poly related functions	sing_161.htm#SEC201
poly related functions (plural)	sing_453.htm#SEC493
poly2list	sing_594.htm#SEC648
poly2zdd	sing_2740.htm#SEC2821
polyDK	sing_1347.htm#SEC1428
polyInterpolation	sing_1311.htm#SEC1392
polyVars	sing_688.htm#SEC742
polybori	sing_2724.htm#IDX1114
polybori.lib	sing_2724.htm#SEC2805
polybori.lib 	sing_2724.htm#IDX1115
polybori_lib	sing_2724.htm#SEC2805
polyclass.lib	sing_2994.htm#SEC3075
polyclass_lib	sing_2994.htm#SEC3075
polylib.lib	sing_1093.htm#SEC1174
polylib_lib	sing_1093.htm#SEC1174
polymake.lib	sing_2573.htm#SEC2654
polymake_lib	sing_2573.htm#SEC2654
polynomial	sing_2828.htm#IDX1222
polynomial functions	sing_3013.htm#IDX1276
polynomial solutions	sing_675.htm#IDX402
polynomial, opposite	sing_368.htm#IDX239
polynomials	sing_2994.htm#IDX1272
polytope	sing_196.htm#SEC236
polytope 	sing_2573.htm#IDX985
polytopeViaInequalities	sing_2514.htm#SEC2595
polytopeViaPoints	sing_2515.htm#SEC2596
pos_def	sing_1239.htm#SEC1320
poset	sing_2678.htm#IDX1074
poshull	sing_2754.htm#SEC2835
positiveOrthant	sing_2485.htm#SEC2566
posweight	sing_2059.htm#SEC2140
powSumSym	sing_1606.htm#SEC1687
power	sing_1200.htm#SEC1281
power set	sing_2687.htm#IDX1083
powerN	sing_2354.htm#SEC2435
powerX	sing_2363.htm#SEC2444
power_products	sing_2093.htm#SEC2174
powerpolyX	sing_2346.htm#SEC2427
powersums	sing_2456.htm#SEC2537
preComp	sing_1441.htm#SEC1522
precision	sing_3074.htm#IDX1299
preim	sing_3078.htm#SEC3159
preimage	sing_330.htm#SEC370
preimage 	sing_729.htm#IDX407
preimage  	sing_3078.htm#IDX1311
preimage (plural)	sing_486.htm#SEC526
preimage under a map between local rings, map between local rings, map between local and global rings	sing_1161.htm#IDX578
preimageLattice	sing_2951.htm#SEC3032
preimageLoc	sing_1161.htm#SEC1242
preimageNC	sing_731.htm#SEC785
prepEmbDiv	sing_1796.htm#SEC1877
prepMat	sing_2139.htm#SEC2220
prepRealclassify	sing_1906.htm#SEC1987
prepSV	sing_2281.htm#SEC2362
prepareAss	sing_1542.htm#SEC1623
presentTree	sing_1783.htm#SEC1864
presentation	sing_1391.htm#SEC1472
presolve.lib	sing_2158.htm#SEC2239
presolve_lib	sing_2158.htm#SEC2239
primL	sing_2358.htm#SEC2439
primList	sing_2357.htm#SEC2438
primRoot	sing_1587.htm#SEC1668
primTest	sing_1440.htm#SEC1521
primary decomposition	sing_1525.htm#IDX678
primary decomposition 	sing_1550.htm#IDX679
primary decomposition of modules	sing_1430.htm#IDX649
primary decomposition, numerical	sing_1706.htm#IDX722
primary_char0	sing_2083.htm#SEC2164
primary_char0_no_molien	sing_2085.htm#SEC2166
primary_char0_no_molien_random	sing_2090.htm#SEC2171
primary_char0_random	sing_2088.htm#SEC2169
primary_charp	sing_2084.htm#SEC2165
primary_charp_no_molien	sing_2086.htm#SEC2167
primary_charp_no_molien_random	sing_2091.htm#SEC2172
primary_charp_random	sing_2089.htm#SEC2170
primary_charp_without	sing_2087.htm#SEC2168
primary_charp_without_random	sing_2092.htm#SEC2173
primary_invariants	sing_2071.htm#SEC2152
primary_invariants_random	sing_2072.htm#SEC2153
primdec	sing_1531.htm#SEC1612
primdec.lib	sing_1525.htm#SEC1606
primdecGTZ	sing_1527.htm#SEC1608
primdecGTZE	sing_1528.htm#SEC1609
primdecMon	sing_1429.htm#SEC1510
primdecSY	sing_1529.htm#SEC1610
primdecSYE	sing_1530.htm#SEC1611
primdecZ	sing_1551.htm#SEC1632
primdecZM	sing_1552.htm#SEC1633
primdec_lib	sing_1525.htm#SEC1606
primdecint.lib	sing_1550.htm#SEC1631
primdecint_lib	sing_1550.htm#SEC1631
prime	sing_331.htm#SEC371
primeClosure	sing_1475.htm#SEC1556
primecoeffs	sing_1045.htm#SEC1126
primefactors	sing_332.htm#SEC372
primes	sing_1040.htm#SEC1121
primitiv.lib	sing_1558.htm#SEC1639
primitiv_lib	sing_1558.htm#SEC1639
primitive	sing_1559.htm#SEC1640
primitive element	sing_1559.htm#IDX680
primitiveSpan	sing_2958.htm#SEC3039
primitive_extra	sing_1560.htm#SEC1641
primparam	sing_1939.htm#SEC2020
principal intersection	sing_509.htm#IDX334
print	sing_333.htm#SEC373
print 	sing_2645.htm#IDX1009
print  	sing_2805.htm#IDX1172
print   	sing_2807.htm#IDX1177
print    	sing_2808.htm#IDX1178
print     	sing_2830.htm#IDX1226
print      	sing_2831.htm#IDX1227
printBetti	sing_1372.htm#SEC1453
printFreeModule	sing_1364.htm#SEC1445
printGraph	sing_1300.htm#SEC1381
printGraphG	sing_1822.htm#SEC1903
printGroup	sing_2939.htm#SEC3020
printHom	sing_1367.htm#SEC1448
printMatrix	sing_1363.htm#SEC1444
printModule	sing_1366.htm#SEC1447
printMoebius	sing_2684.htm#SEC2765
printNormalForm	sing_3006.htm#SEC3087
printNormalFormEquation	sing_3005.htm#SEC3086
printPoly	sing_2998.htm#SEC3079
printPolynomialRightEquivalence	sing_3003.htm#SEC3084
printPuiseux	sing_3011.htm#SEC3092
printResolution	sing_1365.htm#SEC1446
printRightEquivalenceChainWithPrecision	sing_3004.htm#SEC3085
printSheaf	sing_1810.htm#SEC1891
printStack	sing_1824.htm#SEC1905
printTask	sing_1180.htm#SEC1261
printVariety	sing_1802.htm#SEC1883
printf	sing_334.htm#SEC374
printlevel	sing_411.htm#SEC451
proc	sing_162.htm#SEC202
proc declaration	sing_163.htm#SEC203
proc expression	sing_164.htm#SEC204
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_165.htm#SEC205
prodcrit	sing_2433.htm#SEC2514
product	sing_1041.htm#SEC1122
product 	sing_2813.htm#IDX1188
product  	sing_2835.htm#IDX1236
product variety, abstract variety	sing_1803.htm#IDX764
productOfProjectiveSpaces	sing_3058.htm#SEC3139
productVariety	sing_1803.htm#SEC1884
productgroup	sing_2960.htm#SEC3041
progress watch	sing_324.htm#IDX169
projPoints	sing_2844.htm#SEC2925
projectLattice	sing_2952.htm#SEC3033
projective bundle, abstract variety, sheaf, enumeration of conics	sing_1807.htm#IDX768
projective dimension	sing_785.htm#IDX416
projective limes	sing_32.htm#SEC46
projective space, abstract variety	sing_1806.htm#IDX767
projectiveBundle	sing_1807.htm#SEC1888
projectiveDimension	sing_786.htm#SEC840
projectiveSpace	sing_1806.htm#SEC1887
prompt	sing_15.htm#SEC21
prompt, option	sing_324.htm#IDX189
propagator	sing_1298.htm#IDX615
propagator 	sing_1301.htm#SEC1382
propagator  	sing_3076.htm#IDX1305
propagator of a graph	sing_3085.htm#IDX1323
prot, option	sing_324.htm#IDX167
protocol of computations	sing_324.htm#IDX168
proximitymatrix	sing_1866.htm#SEC1947
prune	sing_335.htm#SEC375
pruneModule	sing_1398.htm#SEC1479
prune_map	sing_336.htm#SEC376
prwalk	sing_3019.htm#SEC3100
psigncnd	sing_2227.htm#SEC2308
puiseux	sing_3012.htm#SEC3093
puiseux2generators	sing_1997.htm#SEC2078
puiseuxExpansion	sing_2591.htm#SEC2672
puiseuxList	sing_3008.htm#SEC3089
puiseuxexpansions.lib	sing_3007.htm#SEC3088
puiseuxexpansions_lib	sing_3007.htm#SEC3088
pure tensor	sing_502.htm#IDX322
purelist	sing_796.htm#SEC850
purity	sing_785.htm#IDX418
purityFiltration	sing_787.htm#SEC841
purityTriang	sing_788.htm#SEC842
purityfiltration.lib	sing_785.htm#IDX411
purityfiltration_lib	sing_785.htm#IDX412
pushForward	sing_2977.htm#SEC3058
pwalk	sing_1322.htm#SEC1403
pyobject	sing_197.htm#SEC237
pyobject 	sing_2724.htm#IDX1117
pyobject declarations	sing_198.htm#SEC238
pyobject expressions	sing_199.htm#SEC239
pyobject operations	sing_200.htm#SEC240
pyobject related functions	sing_201.htm#SEC241
pyramid	sing_2857.htm#SEC2938
python_eval	sing_202.htm#SEC242
python_import	sing_203.htm#SEC243
python_run	sing_204.htm#SEC244
qbase	sing_2459.htm#SEC2540
qepcad	sing_2867.htm#SEC2948
qepcadsystem	sing_2868.htm#SEC2949
qhmatrix	sing_2057.htm#SEC2138
qhmoduli.lib	sing_2014.htm#SEC2095
qhmoduli_lib	sing_2014.htm#SEC2095
qhspectrum	sing_2044.htm#SEC2125
qhweight	sing_337.htm#SEC377
qmatrix.lib	sing_797.htm#SEC851
qmatrix_lib	sing_797.htm#SEC851
qminor	sing_799.htm#SEC853
qrds	sing_338.htm#SEC378
qring	sing_171.htm#SEC211
qring 	sing_429.htm#IDX310
qring (plural)	sing_454.htm#SEC494
qring declaration	sing_175.htm#SEC215
qring declaration (plural)	sing_455.htm#SEC495
qring related functions (plural)	sing_456.htm#SEC496
qring ring ideal 'factor ring'	sing_1170.htm#IDX584
qringNF, option	sing_324.htm#IDX170
qslimgb	sing_1020.htm#SEC1101
quadraticSieve	sing_2371.htm#SEC2452
quantMat	sing_798.htm#SEC852
quickclass	sing_1898.htm#SEC1979
quit	sing_401.htm#SEC441
quotSheaf	sing_1819.htm#SEC1900
quote	sing_339.htm#SEC379
quotient	sing_340.htm#SEC380
quotient (plural)	sing_487.htm#SEC527
quotientLatticeBasis	sing_2516.htm#SEC2597
quotientMain	sing_2238.htm#SEC2319
quotientMon	sing_1420.htm#SEC1501
rHRR	sing_1646.htm#SEC1727
rJanet	sing_1572.htm#SEC1653
rMacaulay	sing_1079.htm#SEC1160
rad_con	sing_1106.htm#SEC1187
radical	sing_1539.htm#SEC1620
radicalEHV	sing_1540.htm#SEC1621
radicalMemberShip	sing_2612.htm#SEC2693
radicalMon	sing_1421.htm#SEC1502
radicalZ	sing_1554.htm#SEC1635
randcharpoly	sing_2453.htm#SEC2534
randlinpoly	sing_2455.htm#SEC2536
random	sing_341.htm#SEC381
random 	sing_368.htm#IDX251
random  	sing_2666.htm#IDX1048
random   	sing_2667.htm#IDX1050
random number generator, seed	sing_368.htm#IDX249
random.lib	sing_1129.htm#SEC1210
randomBinomial	sing_1141.htm#SEC1222
randomCheck	sing_2297.htm#SEC2378
randomLast	sing_1140.htm#SEC1221
randomPoint	sing_2517.htm#SEC2598
randomPolyInT	sing_2621.htm#SEC2702
random_lib	sing_1129.htm#SEC1210
randomid	sing_1131.htm#SEC1212
randommat	sing_1132.htm#SEC1213
rank	sing_215.htm#IDX137
rank 	sing_342.htm#SEC382
rankSheaf	sing_1811.htm#SEC1892
ratSol	sing_683.htm#SEC737
ratgb.lib	sing_803.htm#IDX419
ratgb_lib	sing_803.htm#IDX420
rational curves, rational parametrization of rational curves.	sing_1728.htm#IDX749
rational functions	sing_896.htm#IDX451
rational normal curve, projection.	sing_1729.htm#IDX750
rational normal curve, projection. 	sing_1732.htm#IDX751
rational normal curve, projection.  	sing_1733.htm#IDX752
rational reconstraction	sing_250.htm#SEC290
rational solutions	sing_675.htm#IDX403
rational univariate projection	sing_2453.htm#IDX981
rationalCurve	sing_1831.htm#SEC1912
rationalPointConic	sing_1730.htm#SEC1811
ratstd	sing_804.htm#SEC858
rays	sing_2518.htm#SEC2599
rcgs	sing_1126.htm#SEC1207
rcgs, crcgs, buildtree, cantreetoMaple, cantodiffcgs	sing_1125.htm#IDX571
rcgs, crcgs, buildtree, cantreetoMaple, cantodiffcgs 	sing_1126.htm#IDX572
rcolon	sing_895.htm#SEC949
re2squ	sing_1707.htm#SEC1788
read	sing_343.htm#SEC383
readDataFromSSI	sing_3039.htm#SEC3120
readInputTXT	sing_2991.htm#SEC3072
readNmzData	sing_1511.htm#SEC1592
readSSI	sing_3036.htm#SEC3117
reading, option	sing_324.htm#IDX190
readline	sing_1.htm#IDX5
real	sing_28.htm#IDX74
real root isolation	sing_2212.htm#IDX956
real roots, univariate polynomial	sing_2460.htm#IDX983
real roots, univariate projection	sing_2444.htm#IDX979
real roots,sign conditions	sing_2225.htm#IDX959
realLLL	sing_2211.htm#SEC2292
realclassify	sing_2025.htm#SEC2106
realclassify.lib	sing_2024.htm#SEC2105
realclassify_lib	sing_2024.htm#SEC2105
realizationDim	sing_2585.htm#SEC2666
realizationDimPoly	sing_2587.htm#SEC2668
realizationMatroids.lib	sing_2584.htm#SEC2665
realizationMatroids_lib	sing_2584.htm#SEC2665
realmorsesplit	sing_2026.htm#SEC2107
realpoly	sing_1563.htm#SEC1644
realrad	sing_1565.htm#SEC1646
realrad.lib	sing_1562.htm#SEC1643
realrad_lib	sing_1562.htm#SEC1643
realzero	sing_1564.htm#SEC1645
recover.lib	sing_2194.htm#SEC2275
recover_lib	sing_2194.htm#SEC2275
recursive_boolean_poly	sing_2730.htm#SEC2811
recursive_from_boolean_poly	sing_2736.htm#SEC2817
redSB, option	sing_324.htm#IDX171
redTail, option	sing_324.htm#IDX173
redThrough, option	sing_324.htm#IDX174
redcgs.lib	sing_1114.htm#SEC1195
redcgs_lib	sing_1114.htm#SEC1195
redefine, option	sing_324.htm#IDX191
redspec	sing_1120.htm#SEC1201
reduce	sing_344.htm#SEC384
reduce 	sing_523.htm#IDX339
reduce  	sing_1052.htm#IDX496
reduce   	sing_1053.htm#IDX499
reduce (letterplace)	sing_820.htm#SEC874
reduce (plural)	sing_488.htm#SEC528
reduce (up to a bound)	sing_368.htm#IDX252
reduceIntChain	sing_1403.htm#SEC1484
reduced	sing_1051.htm#IDX493
reduced standard basis	sing_324.htm#IDX172
reduction	sing_2109.htm#SEC2190
reesclos.lib	sing_1566.htm#SEC1647
reesclos_lib	sing_1566.htm#SEC1647
reference	sing_205.htm#SEC245
reference declarations	sing_206.htm#SEC246
reference expressions	sing_207.htm#SEC247
reference operations	sing_210.htm#SEC250
reference related functions	sing_211.htm#SEC251
regCM	sing_1465.htm#SEC1546
regIdeal	sing_1446.htm#SEC1527
regMonCurve	sing_1449.htm#SEC1530
regionComplex	sing_3070.htm#SEC3151
regularBasis	sing_2767.htm#SEC2848
regularity	sing_345.htm#SEC385
regularity 	sing_995.htm#SEC1057
regularity  	sing_1465.htm#IDX654
regularity   	sing_1466.htm#IDX655
reiffen	sing_563.htm#SEC617
rel_orbit_variety	sing_2102.htm#SEC2183
relations	sing_783.htm#IDX410
relativeInteriorPoint	sing_2519.htm#SEC2600
relative_orbit_variety	sing_2103.htm#SEC2184
relweight	sing_2058.htm#SEC2139
remainder	sing_2231.htm#SEC2312
remainderMain	sing_2239.htm#SEC2320
removeCone	sing_2537.htm#SEC2618
removepower	sing_1876.htm#SEC1957
repart	sing_346.htm#SEC386
replace	sing_2336.htm#SEC2417
representation, math objects	sing_981.htm#SEC1038
res	sing_347.htm#SEC387
resbinomial.lib	sing_1737.htm#IDX755
resbinomial_lib	sing_1737.htm#IDX756
reservedName	sing_348.htm#SEC388
resetNmzOptions	sing_1507.htm#SEC1588
resfunction	sing_1751.htm#SEC1832
resgraph.lib	sing_1769.htm#SEC1850
resgraph_lib	sing_1769.htm#SEC1850
residue	sing_1303.htm#IDX622
resjung.lib	sing_1773.htm#SEC1854
resjung_lib	sing_1773.htm#SEC1854
reslist	sing_1765.htm#SEC1846
resolution	sing_166.htm#SEC206
resolution 	sing_785.htm#IDX417
resolution (plural)	sing_457.htm#SEC497
resolution declarations	sing_167.htm#SEC207
resolution declarations (plural)	sing_458.htm#SEC498
resolution expressions	sing_168.htm#SEC208
resolution expressions (plural)	sing_459.htm#SEC499
resolution graph	sing_1861.htm#IDX793
resolution related functions	sing_169.htm#SEC209
resolution related functions (plural)	sing_460.htm#SEC500
resolution, La Scala's method	sing_296.htm#SEC336
resolution, computation of	sing_347.htm#IDX193
resolution, hilbert-driven	sing_271.htm#SEC311
resolutionInLocalization	sing_1698.htm#SEC1779
resolutiongraph	sing_1862.htm#SEC1943
resolve	sing_1781.htm#SEC1862
resolve.lib	sing_1777.htm#SEC1858
resolve_lib	sing_1777.htm#SEC1858
resources.lib	sing_1142.htm#SEC1223
resources_lib	sing_1142.htm#SEC1223
restriction	sing_2659.htm#IDX1036
restriction 	sing_2675.htm#IDX1069
restriction  	sing_2676.htm#IDX1071
restriction of	sing_568.htm#IDX362
restrictionIdeal	sing_578.htm#SEC632
restrictionModule	sing_579.htm#SEC633
resultant	sing_310.htm#SEC350
resultant 	sing_349.htm#SEC389
reszeta.lib	sing_1790.htm#SEC1871
reszeta_lib	sing_1790.htm#SEC1871
return	sing_402.htm#SEC442
return type of procedures	sing_427.htm#SEC467
returnSB, option	sing_324.htm#IDX154
reverse	sing_2474.htm#SEC2555
reynolds_molien	sing_2078.htm#SEC2159
rho	sing_2365.htm#SEC2446
right equivalence	sing_3074.htm#IDX1297
rightInverse	sing_2316.htm#SEC2397
rightKernel	sing_2314.htm#SEC2395
rightModulo	sing_749.htm#SEC803
rightNF	sing_748.htm#SEC802
rightNFWeyl	sing_700.htm#SEC754
rightOre	sing_769.htm#SEC823
rightStd	sing_747.htm#SEC801
rightstd (letterplace)	sing_821.htm#SEC875
ring	sing_170.htm#SEC210
ring (plural)	sing_461.htm#SEC501
ring coefficients	sing_1168.htm#IDX582
ring coefficients 	sing_1169.htm#IDX583
ring declarations	sing_172.htm#SEC212
ring declarations (plural)	sing_462.htm#SEC502
ring operations	sing_174.htm#SEC214
ring operations (plural)	sing_463.htm#SEC503
ring related functions	sing_173.htm#SEC213
ring related functions (plural)	sing_464.htm#SEC504
ring theory	sing_870.htm#IDX432
ring, opposite	sing_368.htm#IDX236
ring, rings	sing_1115.htm#IDX563
ring.lib	sing_1147.htm#SEC1228
ringOf	sing_2996.htm#SEC3077
ring_cf	sing_215.htm#IDX138
ring_lib	sing_1147.htm#SEC1228
ring_list	sing_351.htm#SEC391
ring_variable	sing_2646.htm#IDX1013
ring_variable 	sing_2647.htm#IDX1015
ring_variable  	sing_2648.htm#IDX1019
ring_variable   	sing_2649.htm#IDX1021
ringgb.lib	sing_3013.htm#SEC3094
ringgb.lib, functions for coefficient rings	sing_3013.htm#IDX1278
ringgb_lib	sing_3013.htm#SEC3094
ringlist	sing_350.htm#SEC390
ringlist (plural)	sing_489.htm#SEC529
ringtensor	sing_1159.htm#SEC1240
ringweights	sing_1160.htm#SEC1241
rinvar.lib	sing_2114.htm#SEC2195
rinvar_lib	sing_2114.htm#SEC2195
rmNmzFiles	sing_1516.htm#SEC1597
rm_unitcol	sing_1217.htm#SEC1298
rm_unitrow	sing_1216.htm#SEC1297
rmx	sing_2261.htm#SEC2342
rncAntiCanonicalMap	sing_1729.htm#SEC1810
rncItProjEven	sing_1733.htm#SEC1814
rncItProjOdd	sing_1732.htm#SEC1813
root of Bernstein-Sato polynomial	sing_544.htm#IDX351
rootIsolation	sing_2223.htm#SEC2304
rootIsolationNoPreprocessing	sing_2222.htm#SEC2303
rootIsolationPrimdec	sing_2224.htm#SEC2305
rootisolation.lib	sing_2212.htm#SEC2293
rootisolation_lib	sing_2212.htm#SEC2293
rootofUnity	sing_1162.htm#SEC1243
roots	sing_2232.htm#SEC2313
rootsMain	sing_2240.htm#SEC2321
rootsmr.lib	sing_2444.htm#SEC2525
rootsmr_lib	sing_2444.htm#SEC2525
rootsur.lib	sing_2460.htm#SEC2541
rootsur_lib	sing_2460.htm#SEC2541
round	sing_2349.htm#SEC2430
rowShift	sing_215.htm#IDX141
rowShift 	sing_217.htm#SEC257
rowred	sing_1213.htm#SEC1294
rp, global ordering	sing_985.htm#IDX456
rstandard.lib	sing_1569.htm#SEC1650
rstandard_lib	sing_1569.htm#SEC1650
rswalk	sing_3055.htm#SEC3136
rtimer	sing_415.htm#SEC455
rvalue	sing_421.htm#SEC461
rvar	sing_352.htm#SEC392
rwalk	sing_3020.htm#SEC3101
rwalk.lib	sing_3018.htm#SEC3099
rwalk_lib	sing_3018.htm#SEC3099
sPiece	sing_3046.htm#SEC3127
sRes	sing_1369.htm#SEC1450
sa_poly_reduce	sing_532.htm#SEC586
sa_reduce	sing_531.htm#SEC585
sagbi	sing_1577.htm#SEC1658
sagbi basis	sing_1918.htm#IDX820
sagbi.lib	sing_1574.htm#SEC1655
sagbiAlg	sing_1911.htm#SEC1992
sagbiByDegree	sing_3029.htm#SEC3110
sagbiDefIdealByDegree	sing_3032.htm#SEC3113
sagbiDefIdealGeneral	sing_3031.htm#SEC3112
sagbiGeneral	sing_3028.htm#SEC3109
sagbiHilbControlled	sing_3030.htm#SEC3111
sagbiMod	sing_1912.htm#SEC1993
sagbiNormaliz.lib	sing_3027.htm#SEC3108
sagbiNormaliz_lib	sing_3027.htm#SEC3108
sagbiPart	sing_1578.htm#SEC1659
sagbiReduce	sing_1576.htm#SEC1657
sagbiSPoly	sing_1575.htm#SEC1656
sagbi_lib	sing_1574.htm#SEC1655
sagbigrob.lib	sing_3022.htm#SEC3103
sagbigrob_lib	sing_3022.htm#SEC3103
salida	sing_1762.htm#SEC1843
sameComponent	sing_2427.htm#SEC2508
sameQ	sing_2243.htm#SEC2324
sat	sing_1294.htm#SEC1375
sat_with_exp	sing_1295.htm#SEC1376
satiety	sing_1448.htm#SEC1529
satstd	sing_2691.htm#SEC2772
saturation	sing_1294.htm#IDX608
saturation 	sing_1295.htm#IDX609
saturation  	sing_1354.htm#IDX646
saturation   	sing_1463.htm#IDX652
saturation    	sing_1464.htm#IDX653
sba	sing_353.htm#SEC393
scalarProd	sing_521.htm#SEC575
scheme	sing_2848.htm#SEC2929
schubert.lib	sing_1800.htm#SEC1881
schubert_lib	sing_1800.htm#SEC1881
sdb, source code debugger	sing_66.htm#SEC103
second degree	sing_1066.htm#IDX539
second order deformation.	sing_3043.htm#IDX1289
secondary fan	sing_2573.htm#IDX987
secondary polytope	sing_2573.htm#IDX988
secondaryPolytope	sing_2575.htm#SEC2656
secondary_and_irreducibles_no_molien	sing_2099.htm#SEC2180
secondary_char0	sing_2094.htm#SEC2175
secondary_charp	sing_2096.htm#SEC2177
secondary_no_molien	sing_2097.htm#SEC2178
secondary_not_cohen_macaulay	sing_2100.htm#SEC2181
segre	sing_1601.htm#SEC1682
select	sing_1296.htm#SEC1377
select1	sing_1297.htm#SEC1378
semaphore	sing_368.htm#IDX257
semaphore 	sing_1146.htm#SEC1227
semaphores	sing_1142.htm#IDX577
semi-prime ideal	sing_870.htm#IDX437
semiCMcod2	sing_2055.htm#SEC2136
semiGroup	sing_1913.htm#SEC1994
semiMod	sing_1914.htm#SEC1995
semidiv	sing_2419.htm#SEC2500
semigroup	sing_1865.htm#SEC1946
semigroup 	sing_1869.htm#IDX800
semigroup of values	sing_1987.htm#IDX921
semigroupGenerator	sing_2520.htm#SEC2601
sep	sing_1549.htm#SEC1630
separateHNE	sing_1998.htm#SEC2079
separator	sing_1431.htm#SEC1512
serialization	sing_3033.htm#IDX1286
serreRelations	sing_843.htm#SEC897
set	sing_2641.htm#IDX999
set 	sing_2744.htm#SEC2825
set, intersectionSet, union, complement, equality, isEqual	sing_2743.htm#IDX1137
setBaseMultigrading	sing_2932.htm#SEC3013
setLetterplaceAttributes	sing_890.htm#SEC944
setLinearForms	sing_2521.htm#SEC2602
setModuleGrading	sing_2944.htm#SEC3025
setMultiplicity	sing_2522.htm#SEC2603
setNmzDataPath	sing_1513.htm#SEC1594
setNmzExecPath	sing_1509.htm#SEC1590
setNmzFilename	sing_1512.htm#SEC1593
setNmzOption	sing_1504.htm#SEC1585
setUniformizingParameter	sing_2631.htm#SEC2712
set_is_injective	sing_2407.htm#SEC2488
setcores	sing_1144.htm#SEC1225
setenv	sing_368.htm#IDX260
setglobalrings	sing_1115.htm#SEC1196
setinitials	sing_2858.htm#SEC2939
setring	sing_354.htm#SEC394
sets.lib	sing_2743.htm#SEC2824
sets_lib	sing_2743.htm#SEC2824
sh	sing_368.htm#IDX262
shared	sing_205.htm#SEC245
shared declarations	sing_208.htm#SEC248
shared expressions	sing_209.htm#SEC249
shared operations	sing_210.htm#SEC250
shared related functions	sing_211.htm#SEC251
sheaf cohomology	sing_1839.htm#IDX781
sheafCoh	sing_1847.htm#SEC1928
sheafCohBGG	sing_1843.htm#SEC1924
sheafCohBGG2	sing_1846.htm#SEC1927
sheafCohBGGregul	sing_1844.htm#SEC1925
sheafCohBGGregul_w	sing_1845.htm#SEC1926
sheafCoh_w	sing_1848.htm#SEC1929
sheafcoh.lib	sing_1839.htm#SEC1920
sheafcoh_lib	sing_1839.htm#SEC1920
short	sing_412.htm#SEC452
show	sing_1080.htm#SEC1161
showBO	sing_1782.htm#SEC1863
showDataTypes	sing_1784.htm#SEC1865
showNmzOptions	sing_1506.htm#SEC1587
showNuminvs	sing_1501.htm#SEC1582
showgrades	sing_790.htm#SEC844
showrecursive	sing_1081.htm#SEC1162
signal handler	sing_3110.htm#SEC3213
signatureBrieskorn	sing_2064.htm#SEC2145
signatureL	sing_2720.htm#SEC2801
signatureLqf	sing_2721.htm#SEC2802
signatureNemethi	sing_2066.htm#SEC2147
signaturePuiseux	sing_2065.htm#SEC2146
signcnd	sing_2226.htm#SEC2307
signcond.lib	sing_2225.htm#SEC2306
signcond_lib	sing_2225.htm#SEC2306
simplePrune	sing_1407.htm#SEC1488
simplesolver	sing_2145.htm#SEC2226
simplex	sing_355.htm#SEC395
simplexOut	sing_2181.htm#SEC2262
simplify	sing_356.htm#SEC396
simplifyRat	sing_695.htm#SEC749
sing.lib	sing_2031.htm#SEC2112
sing4ti2.lib	sing_1580.htm#SEC1661
sing4ti2_lib	sing_1580.htm#SEC1661
sing_lib	sing_2031.htm#SEC2112
singular locus of D-module	sing_675.htm#IDX397
singularities	sing_1879.htm#IDX811
singularities 	sing_1907.htm#IDX815
singularities  	sing_1956.htm#IDX823
singularities   	sing_1957.htm#IDX834
singularities    	sing_1958.htm#IDX837
singularities     	sing_1959.htm#IDX840
singularities      	sing_1960.htm#IDX843
singularities       	sing_1961.htm#IDX847
singularities        	sing_1962.htm#IDX851
singularities         	sing_1963.htm#IDX857
singularities          	sing_1964.htm#IDX865
singularities           	sing_1965.htm#IDX871
singularities            	sing_1966.htm#IDX879
singularities             	sing_1967.htm#IDX889
singularities              	sing_2062.htm#IDX943
singularities               	sing_2753.htm#IDX1139
singularities ordinary multiple point.	sing_1347.htm#IDX644
singularities, resolution of	sing_968.htm#SEC1025
singularity	sing_1899.htm#SEC1980
singularrc	sing_20.htm#IDX73
sinh	sing_3082.htm#SEC3163
size	sing_357.htm#SEC397
size 	sing_429.htm#IDX309
skewmat	sing_1201.htm#SEC1282
sleep	sing_363.htm#SEC403
slimgb	sing_358.htm#SEC398
slimgb 	sing_945.htm#SEC1002
slimgb (plural)	sing_490.htm#SEC530
slocus	sing_2043.htm#SEC2124
smaller	sing_2818.htm#IDX1198
smatrix	sing_176.htm#SEC216
smith	sing_2325.htm#SEC2406
smithNormalForm	sing_2980.htm#SEC3061
solutionsMod2	sing_2362.htm#SEC2443
solve	sing_287.htm#SEC327
solve 	sing_1066.htm#IDX540
solve  	sing_2175.htm#SEC2256
solve a linear equation system A*x = b via the LU-decomposition of A	sing_299.htm#SEC339
solve.lib	sing_2173.htm#SEC2254
solveTInitialFormPar	sing_2615.htm#SEC2696
solve_IP	sing_1351.htm#SEC1432
solve_lib	sing_2173.htm#SEC2254
solvelinearpart	sing_2168.htm#SEC2249
solving	sing_2194.htm#IDX954
sort	sing_1042.htm#SEC1123
sort 	sing_2823.htm#IDX1208
sortIntvec	sing_599.htm#SEC653
sortandmap	sing_2169.htm#SEC2250
sortier	sing_2113.htm#SEC2194
sortvars	sing_2170.htm#SEC2251
sortvec	sing_359.htm#SEC399
source	sing_1385.htm#SEC1466
source code debugger, sdb	sing_66.htm#SEC103
spaceCur	sing_1916.htm#SEC1997
spadd	sing_1970.htm#SEC2051
span	sing_2523.htm#SEC2604
sparseHomogIdeal	sing_1138.htm#SEC1219
sparseInterpolation	sing_1315.htm#SEC1396
sparseid	sing_1133.htm#SEC1214
sparsemat	sing_1135.htm#SEC1216
sparsematrix	sing_1134.htm#SEC1215
sparsepoly	sing_1136.htm#SEC1217
sparsetriag	sing_1137.htm#SEC1218
spcurve.lib	sing_2051.htm#SEC2132
spcurve_lib	sing_2051.htm#SEC2132
special characters, non-english	sing_418.htm#IDX299
specification	sing_1120.htm#IDX566
spectral pairs	sing_1956.htm#IDX832
spectral pairs 	sing_1963.htm#IDX864
spectral pairs  	sing_1965.htm#IDX878
spectral pairs   	sing_1966.htm#IDX887
spectral pairs    	sing_1978.htm#IDX903
spectral pairs     	sing_1980.htm#IDX914
spectralNeg	sing_1792.htm#SEC1873
spectrum	sing_1956.htm#IDX831
spectrum 	sing_1962.htm#SEC2043
spectrum  	sing_1962.htm#IDX856
spectrum   	sing_1963.htm#IDX863
spectrum    	sing_1964.htm#IDX870
spectrum     	sing_1965.htm#IDX877
spectrum      	sing_1966.htm#IDX886
spectrum       	sing_1978.htm#IDX902
spectrum        	sing_1980.htm#IDX913
spectrum         	sing_2062.htm#IDX945
spectrum.lib	sing_2061.htm#SEC2142
spectrum_lib	sing_2061.htm#SEC2142
spectrumnd	sing_2062.htm#SEC2143
spgamma	sing_1977.htm#SEC2058
spgeomgenus	sing_1976.htm#SEC2057
spissemicont	sing_1973.htm#SEC2054
split	sing_1082.htm#SEC1163
splitPolygon	sing_2577.htm#SEC2658
splitring	sing_1561.htm#SEC1642
splitting	sing_1439.htm#SEC1520
spmilnor	sing_1975.htm#SEC2056
spmul	sing_1972.htm#SEC2053
spnf	sing_1243.htm#SEC1324
spoly	sing_2430.htm#SEC2511
sppairs	sing_1963.htm#SEC2044
sppnf	sing_1968.htm#SEC2049
sppprint	sing_1969.htm#SEC2050
spprint	sing_1244.htm#SEC1325
sprintf	sing_361.htm#SEC401
spsemicont	sing_1974.htm#SEC2055
spsub	sing_1971.htm#SEC2052
sqfrNorm	sing_2233.htm#SEC2314
sqfrNormMain	sing_2241.htm#SEC2322
sqrfree	sing_360.htm#SEC400
squareRoot	sing_2361.htm#SEC2442
squarefree	sing_1999.htm#SEC2080
sres	sing_362.htm#SEC402
ssi	sing_940.htm#SEC997
ssi file handling	sing_3033.htm#IDX1285
ssi.lib	sing_3033.htm#SEC3114
ssi_lib	sing_3033.htm#SEC3114
stabilizer	sing_2793.htm#SEC2874
stack, moduli space of stable maps	sing_1824.htm#IDX772
stack, moduli space of stable maps, rational curves	sing_1823.htm#IDX771
stackNets	sing_2718.htm#SEC2799
staircase	sing_2246.htm#SEC2327
standard	sing_2437.htm#SEC2518
standard bases, saturation	sing_2691.htm#IDX1086
standard bases.	sing_2690.htm#IDX1085
standard.lib	sing_1019.htm#IDX484
standard_lib	sing_1019.htm#IDX485
stanleyreisner.lib	sing_3041.htm#SEC3122
stanleyreisner_lib	sing_3041.htm#SEC3122
startNmz	sing_1515.htm#SEC1596
startTasks	sing_1181.htm#SEC1262
static procedures	sing_43.htm#SEC78
status	sing_363.htm#SEC403
std	sing_364.htm#SEC404
std 	sing_943.htm#SEC1000
std (letterplace)	sing_822.htm#SEC876
std (plural)	sing_491.htm#SEC531
stdfglm	sing_365.htm#SEC405
stdhilb	sing_366.htm#SEC406
stdlocus	sing_1063.htm#SEC1144
stdmodule.lib	sing_3048.htm#SEC3129
stdmodule_lib	sing_3048.htm#SEC3129
stopTask	sing_1182.htm#SEC1263
storeActionOnOrbitConeIndices	sing_2561.htm#SEC2642
strand	sing_3071.htm#SEC3152
stratify	sing_2140.htm#SEC2221
stratify.lib	sing_2138.htm#SEC2219
stratify_lib	sing_2138.htm#SEC2219
string	sing_177.htm#SEC217
string 	sing_429.htm#IDX312
string  	sing_2805.htm#IDX1171
string   	sing_2807.htm#IDX1176
string    	sing_2808.htm#IDX1179
string     	sing_2830.htm#IDX1225
string      	sing_2831.htm#IDX1228
string declarations	sing_178.htm#SEC218
string expressions	sing_179.htm#SEC219
string operations	sing_181.htm#SEC221
string related functions	sing_182.htm#SEC222
string type cast	sing_180.htm#SEC220
stripHNE	sing_1996.htm#SEC2077
structure	sing_2827.htm#IDX1219
sturm	sing_2470.htm#SEC2551
sturmha	sing_2472.htm#SEC2553
sturmhaseq	sing_2473.htm#SEC2554
sturmquery	sing_2448.htm#SEC2529
sturmseq	sing_2471.htm#SEC2552
sublists	sing_2687.htm#SEC2768
submat	sing_1202.htm#SEC1283
subquotient	sing_1377.htm#SEC1458
subrInterred	sing_1111.htm#SEC1192
subset	sing_1117.htm#SEC1198
subset_sum01	sing_2391.htm#SEC2472
subset_sum02	sing_2392.htm#SEC2473
subst	sing_367.htm#SEC407
subst (letterplace)	sing_823.htm#SEC877
subst (plural)	sing_492.htm#SEC532
substAll	sing_2195.htm#SEC2276
substitute	sing_1110.htm#SEC1191
sufficientlyPositiveMultidegree	sing_3062.htm#SEC3143
sugarCrit, option	sing_324.htm#IDX175
sum	sing_1043.htm#SEC1124
sum 	sing_2810.htm#IDX1182
sum  	sing_2832.htm#IDX1230
sum of Feynman integrals	sing_3087.htm#IDX1327
sum_of_powers	sing_1605.htm#SEC1686
sumlist	sing_1764.htm#SEC1845
sumofquotients	sing_1832.htm#SEC1913
super-commutative algebras	sing_805.htm#SEC859
superCommutative	sing_746.htm#SEC800
super_increasing_knapsack	sing_2403.htm#SEC2484
surf.lib	sing_2263.htm#SEC2344
surf_lib	sing_2263.htm#SEC2344
surfacesignature.lib	sing_2063.htm#SEC2144
surfacesignature_lib	sing_2063.htm#SEC2144
surfer	sing_1.htm#IDX8
surfer 	sing_2265.htm#SEC2346
surfex	sing_1.htm#IDX7
surfex.lib	sing_2266.htm#SEC2347
surfex_lib	sing_2266.htm#SEC2347
suspend	sing_363.htm#SEC403
swalk	sing_3054.htm#SEC3135
swalk.lib	sing_3053.htm#SEC3134
swalk_lib	sing_3053.htm#SEC3134
swap	sing_1903.htm#SEC1984
swap 	sing_2648.htm#IDX1017
switch	sing_423.htm#SEC463
switchRingsAndComputeInitialIdeal	sing_2636.htm#SEC2717
syModStd	sing_1590.htm#SEC1671
symExt	sing_3061.htm#SEC3142
symNsym	sing_1599.htm#SEC1680
sym_gauss	sing_1227.htm#SEC1308
symm	sing_1598.htm#SEC1679
symmStd	sing_1589.htm#SEC1670
symmat	sing_1203.htm#SEC1284
symmetric basis	sing_1219.htm#IDX588
symmetric power	sing_1221.htm#IDX590
symmetric product	sing_1680.htm#IDX713
symmetricBasis	sing_1219.htm#SEC1300
symmetricPower	sing_1221.htm#SEC1302
symmetricPowerSheaf	sing_1818.htm#SEC1899
symmetries	sing_2789.htm#IDX1151
symmfunc	sing_2457.htm#SEC2538
symodstd.lib	sing_1584.htm#SEC1665
symodstd_lib	sing_1584.htm#SEC1665
sympower	sing_2134.htm#SEC2215
symsignature	sing_2447.htm#SEC2528
syndrome	sing_2293.htm#SEC2374
sysBin	sing_2291.htm#SEC2372
sysCRHT	sing_2288.htm#SEC2369
sysCRHTMindist	sing_2289.htm#SEC2370
sysFL	sing_2304.htm#SEC2385
sysNewton	sing_2290.htm#SEC2371
sysQE	sing_2294.htm#SEC2375
sys_code	sing_2285.htm#SEC2366
system	sing_368.htm#SEC408
system, --	sing_368.htm#IDX289
system, --long_option_name	sing_368.htm#IDX292
system, --long_option_name=value	sing_368.htm#IDX294
system, HC	sing_368.htm#IDX222
system, LLL	sing_368.htm#IDX226
system, Singular	sing_368.htm#IDX266
system, SingularBin	sing_368.htm#IDX268
system, SingularLib	sing_368.htm#IDX270
system, absFact	sing_368.htm#IDX197
system, alarm	sing_368.htm#IDX196
system, blackbox	sing_368.htm#IDX198
system, bracket	sing_368.htm#IDX203
system, browsers	sing_368.htm#IDX202
system, complexNearZero	sing_368.htm#IDX205
system, content	sing_368.htm#IDX209
system, contributors	sing_368.htm#IDX207
system, cpu	sing_368.htm#IDX211
system, cpu 	sing_368.htm#IDX288
system, denom_list	sing_368.htm#IDX213
system, eigenvals	sing_368.htm#IDX214
system, env	sing_368.htm#IDX215
system, executable	sing_368.htm#IDX217
system, getPrecDigits	sing_368.htm#IDX220
system, getenv	sing_368.htm#IDX219
system, gmsnf	sing_368.htm#IDX221
system, hessenberg	sing_368.htm#IDX223
system, install	sing_368.htm#IDX225
system, nblocks	sing_368.htm#IDX229
system, nc_hilb	sing_368.htm#IDX231
system, neworder	sing_368.htm#IDX232
system, newstruct	sing_368.htm#IDX233
system, opp	sing_368.htm#IDX234
system, oppose	sing_368.htm#IDX237
system, pcvBasis	sing_368.htm#IDX246
system, pcvCV2P	sing_368.htm#IDX244
system, pcvDim	sing_368.htm#IDX245
system, pcvLAddL	sing_368.htm#IDX240
system, pcvMinDeg	sing_368.htm#IDX242
system, pcvP2CV	sing_368.htm#IDX243
system, pcvPMulL	sing_368.htm#IDX241
system, pid	sing_368.htm#IDX248
system, random	sing_368.htm#IDX250
system, reserve	sing_368.htm#IDX254
system, reservedLink	sing_368.htm#IDX255
system, rref	sing_368.htm#IDX256
system, semaphore	sing_368.htm#IDX258
system, semic	sing_368.htm#IDX259
system, setenv	sing_368.htm#IDX261
system, sh	sing_368.htm#IDX263
system, shrinktest	sing_368.htm#IDX264
system, spadd	sing_368.htm#IDX271
system, spectrum	sing_368.htm#IDX272
system, spmul	sing_368.htm#IDX273
system, std_syz	sing_368.htm#IDX274
system, tensorModuleMult	sing_368.htm#IDX275
system, twostd	sing_368.htm#IDX276
system, uname	sing_368.htm#IDX279
system, verifyGB	sing_368.htm#IDX282
system, version	sing_368.htm#IDX285
system, with	sing_368.htm#IDX286
systemOfParametersOfLocalization	sing_1695.htm#SEC1776
systhreads.lib	sing_3056.htm#SEC3137
systhreads_lib	sing_3056.htm#SEC3137
syz	sing_369.htm#SEC409
syz (letterplace)	sing_824.htm#SEC878
syz (plural)	sing_493.htm#SEC533
tDetropicalise	sing_2617.htm#SEC2698
tInitialForm	sing_2601.htm#SEC2682
tInitialFormPar	sing_2613.htm#SEC2694
tInitialFormParMax	sing_2614.htm#SEC2695
tInitialIdeal	sing_2602.htm#SEC2683
tab	sing_1083.htm#SEC1164
tail	sing_2426.htm#SEC2507
tame polynomial	sing_1978.htm#IDX895
tame polynomial 	sing_1979.htm#IDX905
tame polynomial  	sing_1980.htm#IDX906
tangentGens	sing_1720.htm#SEC1801
tangentcone	sing_2050.htm#SEC2131
target	sing_1384.htm#SEC1465
task	sing_1175.htm#IDX587
tasks.lib	sing_1175.htm#SEC1256
tasks_lib	sing_1175.htm#SEC1256
tateProdCplxNegGrad.lib	sing_3057.htm#SEC3138
tateProdCplxNegGrad_lib	sing_3057.htm#SEC3138
tateResolution	sing_3063.htm#SEC3144
tau_es	sing_1951.htm#SEC2032
tau_es2	sing_1873.htm#SEC1954
tdCf	sing_1634.htm#SEC1715
tdFactor	sing_1636.htm#SEC1717
tdProj	sing_1639.htm#SEC1720
tdTerms	sing_1635.htm#SEC1716
teach_lpGkDim	sing_875.htm#SEC929
teach_lpKDim	sing_837.htm#SEC891
teach_lpKDimCheck	sing_835.htm#SEC889
teach_lpSickleDim	sing_840.htm#SEC894
teachstd.lib	sing_2424.htm#SEC2505
teachstd_lib	sing_2424.htm#SEC2505
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_370.htm#SEC410
tensor 	sing_502.htm#IDX326
tensor algebra	sing_879.htm#IDX440
tensorFreeModule	sing_1396.htm#SEC1477
tensorFreemodMod	sing_1395.htm#SEC1476
tensorMatrix	sing_1392.htm#SEC1473
tensorMod	sing_1343.htm#SEC1424
tensorModFreemod	sing_1394.htm#SEC1475
tensorModule	sing_1393.htm#SEC1474
tensorProduct	sing_1397.htm#SEC1478
tensorSheaf	sing_1817.htm#SEC1898
term orderings	sing_984.htm#SEC1041
term orderings introduction	sing_983.htm#SEC1040
terms	sing_2762.htm#SEC2843
termsOnPolygon	sing_2759.htm#SEC2840
testFraction	sing_767.htm#SEC821
testLift	sing_891.htm#SEC945
testLocData	sing_764.htm#SEC818
testNCfac	sing_659.htm#SEC713
testNcfrac	sing_713.htm#SEC767
testNcfracExamples	sing_714.htm#SEC768
testNcloc	sing_725.htm#SEC779
testNclocExamples	sing_726.htm#SEC780
testOlga	sing_781.htm#SEC835
testOlgaExamples	sing_782.htm#SEC836
testParametrization	sing_1735.htm#SEC1816
testPointConic	sing_1736.htm#SEC1817
testPrimary	sing_1537.htm#SEC1618
testPrimaryE	sing_1538.htm#SEC1619
testSyz	sing_892.htm#SEC946
testZero	sing_3016.htm#SEC3097
tetrahedronGroup	sing_868.htm#SEC922
tex	sing_2252.htm#SEC2333
texDrawBasic	sing_2608.htm#SEC2689
texDrawNewtonSubdivision	sing_2610.htm#SEC2691
texDrawTriangulation	sing_2611.htm#SEC2692
texDrawTropical	sing_2609.htm#SEC2690
texMatrix	sing_2607.htm#SEC2688
texNumber	sing_2605.htm#SEC2686
texPolynomial	sing_2606.htm#SEC2687
texcoef	sing_2333.htm#SEC2414
texdemo	sing_2253.htm#SEC2334
texfactorize	sing_2254.htm#SEC2335
texmap	sing_2255.htm#SEC2336
texname	sing_2256.htm#SEC2337
texobj	sing_2257.htm#SEC2338
texpoly	sing_2258.htm#SEC2339
texproc	sing_2259.htm#SEC2340
texring	sing_2260.htm#SEC2341
the first alternative algorithm	sing_1320.htm#IDX638
three_elements	sing_2410.htm#SEC2491
timeFactorize	sing_1047.htm#SEC1128
timeStd	sing_1046.htm#SEC1127
timer	sing_413.htm#SEC453
timer resolution, setting the	sing_368.htm#IDX295
timestep	sing_2861.htm#SEC2942
tjurina	sing_2046.htm#SEC2127
tmatrix	sing_1966.htm#SEC2047
todd	sing_1631.htm#SEC1712
toddE	sing_1632.htm#SEC1713
toddPoly	sing_1645.htm#SEC1726
tolessvars	sing_2167.htm#SEC2248
topChernClass	sing_1814.htm#SEC1895
topological invariants	sing_1861.htm#IDX791
topological invariants 	sing_1868.htm#IDX798
topological invariants  	sing_1869.htm#IDX802
topological invariants   	sing_1870.htm#IDX806
topological invariants    	sing_1871.htm#IDX810
toric ideals	sing_999.htm#SEC1061
toric ring	sing_1486.htm#IDX677
toric.lib	sing_1591.htm#SEC1672
toricRingFromBinomials	sing_1490.htm#SEC1571
toric_ideal	sing_1592.htm#SEC1673
toric_lib	sing_1591.htm#SEC1672
toric_std	sing_1593.htm#SEC1674
torus	sing_2131.htm#SEC2212
torusInvariants	sing_1496.htm#SEC1577
torusrep	sing_2132.htm#SEC2213
torusreynolds	sing_2137.htm#SEC2218
total divisors	sing_502.htm#IDX323
total multiplicities	sing_1861.htm#IDX794
totalChernClass	sing_1812.htm#SEC1893
totalSegreClass	sing_1815.htm#SEC1896
totalmultiplicities	sing_1863.htm#SEC1944
trace	sing_371.htm#SEC411
tracemult	sing_2451.htm#SEC2532
transWithPrecision	sing_3075.htm#SEC3156
transformation	sing_3074.htm#IDX1298
transformation.lib	sing_3074.htm#SEC3155
transformation_lib	sing_3074.htm#SEC3155
transformationsAfterSplit	sing_2788.htm#SEC2869
transformationsBeforeSplit	sing_2787.htm#SEC2868
transpose	sing_372.htm#SEC412
trapezoid	sing_2855.htm#SEC2936
triMNewton	sing_2193.htm#SEC2274
triagmatrix	sing_1139.htm#SEC1220
triang.lib	sing_2186.htm#SEC2267
triangL	sing_2187.htm#SEC2268
triangL_solve	sing_2184.htm#SEC2265
triangLf_solve	sing_2182.htm#SEC2263
triangLfak	sing_2188.htm#SEC2269
triangM	sing_2189.htm#SEC2270
triangMH	sing_2190.htm#SEC2271
triangM_solve	sing_2183.htm#SEC2264
triang_lib	sing_2186.htm#SEC2267
triang_solve	sing_2185.htm#SEC2266
triangularGroup	sing_869.htm#SEC923
triangulations	sing_2574.htm#SEC2655
tropical covers	sing_3076.htm#IDX1308
tropical curves	sing_2588.htm#IDX991
tropical geometry	sing_1298.htm#IDX610
tropical geometry 	sing_2630.htm#IDX993
tropical geometry  	sing_3076.htm#IDX1300
tropical mirror symmetry	sing_1298.htm#IDX612
tropical mirror symmetry 	sing_3076.htm#IDX1302
tropical polynomials	sing_2588.htm#IDX992
tropical stable maps	sing_3076.htm#IDX1309
tropical stable maps 	sing_3084.htm#IDX1320
tropical varieties	sing_2630.htm#IDX994
tropical.lib	sing_2588.htm#SEC2669
tropicalCurve	sing_2593.htm#SEC2674
tropicalEllipticCovers.lib	sing_3076.htm#SEC3157
tropicalEllipticCovers_lib	sing_3076.htm#SEC3157
tropicalJInvariant	sing_2596.htm#SEC2677
tropicalLifting	sing_2589.htm#SEC2670
tropicalLinkNewton	sing_2638.htm#SEC2719
tropicalNewton.lib	sing_2630.htm#SEC2711
tropicalNewton_lib	sing_2630.htm#SEC2711
tropicalPointNewton	sing_2635.htm#SEC2716
tropicalSubst	sing_2620.htm#SEC2701
tropicalVariety	sing_2627.htm#SEC2708
tropicalVarietyNewton	sing_2637.htm#SEC2718
tropical_lib	sing_2588.htm#SEC2669
tropicalise	sing_2599.htm#SEC2680
tropicaliseSet	sing_2600.htm#SEC2681
truncate	sing_1840.htm#SEC1921
truncateCoker	sing_3060.htm#SEC3141
truncateFast	sing_1841.htm#SEC1922
truncateM	sing_3059.htm#SEC3140
truncated module	sing_1840.htm#IDX782
truncated module 	sing_1841.htm#IDX783
tuple to compute a cover of elliptic curve	sing_3079.htm#IDX1312
twalk	sing_1319.htm#SEC1400
twist	sing_3068.htm#SEC3149
two-sided	sing_502.htm#IDX324
two-sided Groebner basis	sing_502.htm#IDX325
twostd	sing_368.htm#IDX277
twostd (letterplace)	sing_825.htm#SEC879
twostd (plural)	sing_494.htm#SEC534
type	sing_373.htm#SEC413
type B	sing_2664.htm#IDX1044
type D	sing_2665.htm#IDX1046
type,custom	sing_189.htm#SEC229
type2arr	sing_2642.htm#SEC2723
typecasting	sing_2642.htm#IDX1000
typecasting 	sing_2643.htm#IDX1002
typecasting  	sing_2644.htm#IDX1005
typeof	sing_374.htm#SEC414
u	sing_2847.htm#SEC2928
uname	sing_368.htm#IDX278
unbounded_knapsack	sing_2393.htm#SEC2474
union	sing_2745.htm#SEC2826
unipotent groups	sing_1719.htm#IDX726
uniquePoint	sing_2524.htm#SEC2605
unitMatrix	sing_2218.htm#SEC2299
unitMatrix2	sing_2153.htm#SEC2234
unitmat	sing_1204.htm#SEC1285
univariate	sing_375.htm#SEC415
univarpoly	sing_2458.htm#SEC2539
universal	sing_2824.htm#IDX1211
universal 	sing_2825.htm#IDX1213
universal derivation	sing_2800.htm#IDX1162
unknown syndrome	sing_1015.htm#SEC1091
unset	sing_284.htm#SEC324
untyped definitions	sing_93.htm#SEC133
untyped definitions 	sing_434.htm#SEC474
updatePairs	sing_2436.htm#SEC2517
ures_solve	sing_2176.htm#SEC2257
uressolve	sing_376.htm#SEC416
usage, option	sing_324.htm#IDX192
used environment variables	sing_3112.htm#SEC3215
user interface, Emacs	sing_21.htm#SEC28
vStd	sing_1928.htm#SEC2009
val	sing_2632.htm#SEC2713
valueOf	sing_2997.htm#SEC3078
valvars	sing_2171.htm#SEC2252
vandermonde	sing_377.htm#SEC417
vanishId	sing_2303.htm#SEC2384
vanishing polynomial	sing_3013.htm#IDX1274
var	sing_378.htm#SEC418
varMat	sing_2646.htm#SEC2727
varNum	sing_2647.htm#SEC2728
variables	sing_379.htm#SEC419
variables 	sing_2646.htm#IDX1012
variables  	sing_2647.htm#IDX1014
variables   	sing_2648.htm#IDX1018
variables    	sing_2649.htm#IDX1020
variablesSorted	sing_540.htm#SEC594
variablesStandard	sing_539.htm#SEC593
vars2pars	sing_690.htm#SEC744
varsigns	sing_2463.htm#SEC2544
varstr	sing_380.htm#SEC420
vdim	sing_381.htm#SEC421
vdim (letterplace)	sing_826.htm#SEC880
vdim (plural)	sing_495.htm#SEC535
vec2poly	sing_522.htm#SEC576
vecFieldToMatrix	sing_3098.htm#SEC3179
vector	sing_183.htm#SEC223
vector declarations	sing_184.htm#SEC224
vector expressions	sing_185.htm#SEC225
vector operations	sing_186.htm#SEC226
vector related functions	sing_187.htm#SEC227
verify	sing_2454.htm#SEC2535
verify Groebner base	sing_368.htm#IDX281
verifyGB	sing_368.htm#IDX283
verifyGB 	sing_418.htm#IDX301
veronese	sing_2196.htm#SEC2277
versal	sing_1946.htm#SEC2027
version	sing_368.htm#IDX284
vertices	sing_2540.htm#SEC2621
verticesOfNP	sing_2758.htm#SEC2839
vfilt	sing_1964.htm#SEC2045
view	sing_2323.htm#SEC2404
visualize	sing_2846.htm#SEC2927
voice	sing_416.htm#SEC456
vspace	sing_418.htm#IDX300
vwfilt	sing_1965.htm#SEC2046
waitAllTasks	sing_1184.htm#SEC1265
waitTasks	sing_1183.htm#SEC1264
waitall	sing_382.htm#SEC422
waitfirst	sing_383.htm#SEC423
walk, groebner	sing_1317.htm#IDX634
walk, groebner 	sing_2926.htm#IDX1264
walk, groebner  	sing_3018.htm#IDX1279
walk, groebner   	sing_3053.htm#IDX1294
warkedPreimageStd	sing_1697.htm#SEC1778
warn, option	sing_70.htm#SEC110
warn, option 	sing_324.htm#IDX153
watchdog	sing_1044.htm#SEC1125
wedge	sing_384.htm#SEC424
weierstr.lib	sing_2439.htm#SEC2520
weierstrDiv	sing_2440.htm#SEC2521
weierstrPrep	sing_2441.htm#SEC2522
weierstr_lib	sing_2439.htm#SEC2520
weierstrassForm	sing_2597.htm#SEC2678
weight	sing_385.htm#SEC425
weight filtration	sing_1956.htm#IDX828
weight filtration 	sing_1963.htm#IDX862
weight filtration  	sing_1965.htm#IDX876
weight filtration   	sing_1966.htm#IDX884
weight filtration    	sing_1978.htm#IDX900
weight filtration     	sing_1980.htm#IDX911
weightKB	sing_386.htm#SEC426
weightM, option	sing_324.htm#IDX176
weighted lexicographical ordering	sing_985.htm#IDX464
weighted reverse lexicographical ordering	sing_985.htm#IDX462
weightedRing	sing_739.htm#SEC793
whichvariable	sing_2462.htm#SEC2543
while	sing_403.htm#SEC443
withDim	sing_215.htm#IDX145
withHilb	sing_215.htm#IDX143
withMult	sing_215.htm#IDX146
withRes	sing_215.htm#IDX144
withSB	sing_215.htm#IDX142
wp, global ordering	sing_985.htm#IDX463
write	sing_387.htm#SEC427
writeBertiniInput	sing_2202.htm#SEC2283
writeDataToSSI	sing_3038.htm#SEC3119
writeNmzData	sing_1510.htm#SEC1591
writeNmzPaths	sing_1514.htm#SEC1595
writeSSI	sing_3035.htm#SEC3116
writing monomials	sing_412.htm#SEC452
ws, local ordering	sing_986.htm#IDX474
wurzel	sing_2343.htm#SEC2424
xchange	sing_2337.htm#SEC2418
xdvi	sing_2262.htm#SEC2343
zdd	sing_2724.htm#IDX1119
zdd2poly	sing_2741.htm#SEC2822
zero	sing_1357.htm#SEC1438
zero-dimensional	sing_2459.htm#IDX982
zeroMod	sing_1435.htm#SEC1516
zeroNcfrac	sing_706.htm#SEC760
zeroOpt	sing_1444.htm#SEC1525
zeroRadical	sing_1267.htm#SEC1348
zeroReduce	sing_3015.htm#SEC3096
zeroSet	sing_2234.htm#SEC2315
zerodec	sing_1546.htm#SEC1627
zeroreduce	sing_3013.htm#IDX1275
zeroset.lib	sing_2229.htm#SEC2310
zeroset_lib	sing_2229.htm#SEC2310
zetaDL	sing_1794.htm#SEC1875
{	sing_36.htm#IDX78
||	sing_36.htm#IDX103
|| 	sing_106.htm#SEC146
}	sing_36.htm#IDX79
~	sing_36.htm#IDX117
~ 	sing_404.htm#SEC444
