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Index Entry  Section

!
! 3.5.2 Special characters
!= 3.5.2 Special characters
!= 4.3.5 boolean expressions

"
" 3.5.2 Special characters

#
# 3.5.2 Special characters

$
$ 3.5.2 Special characters

%
% 3.5.2 Special characters

&
&& 3.5.2 Special characters
&& 4.3.6 boolean operations

(
( 3.5.2 Special characters

)
) 3.5.2 Special characters

*
* 3.5.2 Special characters
** 3.5.2 Special characters

+
+ 3.5.2 Special characters

-
- 3.5.2 Special characters
–allow-net 3.1.6 Command line options
-b 3.1.6 Command line options
–batch 3.1.6 Command line options
–browser 3.1.6 Command line options
-c 3.1.6 Command line options
-d 3.1.6 Command line options
-e 3.1.6 Command line options
–echo 3.1.6 Command line options
–emacs 3.1.6 Command line options
–emacs-dir 3.1.6 Command line options
–emacs-load 3.1.6 Command line options
–execute 3.1.6 Command line options
-h 3.1.6 Command line options
–help 3.1.6 Command line options
–min-time 3.1.6 Command line options
–MPhost 3.1.6 Command line options
–MPport 3.1.6 Command line options
–no-out 3.1.6 Command line options
–no-rc 3.1.6 Command line options
–no-stdlib 3.1.6 Command line options
–no-tty 3.1.6 Command line options
–no-warn 3.1.6 Command line options
-q 3.1.6 Command line options
–quiet 3.1.6 Command line options
-r 3.1.6 Command line options
–random 3.1.6 Command line options
–sdb 3.1.6 Command line options
–singular 3.1.6 Command line options
–ticks-per-sec 3.1.6 Command line options
-u 3.1.6 Command line options
–user-option 3.1.6 Command line options
-v 3.1.6 Command line options
–verbose 3.1.6 Command line options

.
.. 3.5.2 Special characters
.singularrc file 3.1.7 Startup sequence
.singularrc file, no loading 3.1.6 Command line options

/
/ 3.5.2 Special characters
// 3.5.2 Special characters
// 3.5.2 Special characters
// 3.5.2 Special characters

;
; 3.5.2 Special characters

<
< 3.5.2 Special characters
< 5.1.34 files, input from
<= 3.5.2 Special characters
<= 4.3.5 boolean expressions
<> 3.5.2 Special characters
<> 4.3.5 boolean expressions

=
= 3.5.2 Special characters
== 3.5.2 Special characters
== 4.3.5 boolean expressions

>
> 3.5.2 Special characters
>= 3.5.2 Special characters
>= 4.3.5 boolean expressions

?
? 3.5.2 Special characters
? 5.1.43 help

[
[ 3.5.2 Special characters

\
\ 3.5.2 Special characters

]
] 3.5.2 Special characters

^
^ 3.5.2 Special characters

_
_ 3.5.2 Special characters

`
 3.5.2 Special characters

|
|| 3.5.2 Special characters
|| 4.3.6 boolean operations

~
~ 3.5.2 Special characters
~ 5.2.12 ~ (break point)

A
a, ordering B.2.8 Extra weight vector
absValue D.2.2.3 absValue
actionIsProper D.6.2.3 actionIsProper
addcol D.3.1.17 addcol
addrow D.3.1.18 addrow
adjoint D.3.2.9 adjoint
adjunction divisor D.9.1.1 Adj_div
Adj_div D.9.1.1 Adj_div
AGcode_L D.9.1.6 AGcode_L
AGcode_Omega D.9.1.7 AGcode_Omega
ainvar.lib D.6.2 ainvar_lib
ainvar_lib D.6.2 ainvar_lib
algDependent D.4.1.4 algDependent
algebra.lib D.4.1 algebra_lib
Algebraic dependence A.25 Algebraic dependence
algebraic field extension D.4.8.3 splitring
Algebraic Geometry codes D.9.1 brnoeth_lib
algebra_containment D.4.1.1 algebra_containment
algebra_lib D.4.1 algebra_lib
algorithm of Bigatti, La Scala and Robbiano C.6.2.5 The algorithm of Bigatti, La Scala and Robbiano
algorithm of Conti and Traverso C.6.2.1 The algorithm of Conti and Traverso
algorithm of Di Biase and Urbanke C.6.2.4 The algorithm of Di Biase and Urbanke
algorithm of Hosten and Sturmfels C.6.2.3 The algorithm of Hosten and Sturmfels
algorithm of Pottier C.6.2.2 The algorithm of Pottier
alg_kernel D.4.1.5 alg_kernel
all.lib D.2.1 all_lib
allowing net access 3.1.6 Command line options
allprint D.2.3.1 allprint
allsquarefree D.5.5.20 allsquarefree
all_lib D.2.1 all_lib
and 4.3.6 boolean operations
and 6.2.2 Evaluation of logical expressions
Ann D.4.7.1 Ann
annil D.4.4.8 annil
ArnoldAction D.5.7.1 ArnoldAction
ASCII D.2.2.2 ASCII
ASCII links 4.6.4 ASCII links
attrib 5.1.1 attrib
A_L D.5.1.12 A_L
A_Z D.2.2.1 A_Z

B
Bachmann, Olaf 1 Preface
Background 2.1 Background
bareiss 5.1.2 bareiss
basicinvariants D.5.1.1 basicinvariants
bernstein D.5.4.4 bernstein
Bernstein polynomial D.5.4.4 bernstein
betti 5.1.3 betti
Betti number C.3 Syzygies and resolutions
Bigatti-La Scala-Robbiano algorithm C.6.2.5 The algorithm of Bigatti, La Scala and Robbiano
BinDir 3.8.1 Loading of a library
binomial D.2.2.4 binomial
block 3.5.6 Flow control
block 5.2 Control structures
blowup0 D.4.2.1 blowup0
boolean expressions 4.3.5 boolean expressions
boolean operations 4.3.6 boolean operations
bracket 6.2.5 Usage of brackets
Branches of an Isolated Space Curve Singularity A.23 Branches of an Isolated Space Curve Singularity
break 5.2.1 break
break point 5.2.12 ~ (break point)
breakpoint 5.2.2 breakpoint
Brieskorn lattice D.5.4 gaussman_lib
Brieskorn lattice D.5.4.1 gmsring
Brieskorn lattice D.5.4.2 gmsnf
Brieskorn lattice D.5.4.3 gmscoeffs
Brieskorn lattice D.5.4.4 bernstein
Brieskorn lattice D.5.4.5 monodromy
Brieskorn lattice D.5.4.6 spectrum
Brieskorn lattice D.5.4.7 sppairs
Brieskorn lattice D.5.4.10 vfilt
Brieskorn lattice D.5.4.11 vwfilt
Brieskorn lattice D.5.4.12 tmatrix
Brieskorn lattice D.5.4.13 endvfilt
Brieskorn lattice D.5.6 mondromy_lib
Brill-Noether algorithm D.9.1 brnoeth_lib
BrillNoether D.9.1.3 BrillNoether
brnoeth.lib D.9.1 brnoeth_lib
brnoeth_lib D.9.1 brnoeth_lib
browser, command line option 3.1.6 Command line options
browser, setting the 5.1.125 system
browsers 3.1.3 The online help system
browsers, setting the 5.1.125 system
Buchberger algorithm for toric ideals C.6.3 The Buchberger algorithm for toric ideals
bug, ESingular E.3 Unix installation instructions
busadj D.3.2.7 busadj

C
C programming language 6.2 Major differences to the C programming language
C, module ordering B.2.5 Module orderings
c, module ordering B.2.5 Module orderings
case 6.2.3 No case or switch statement
category in a library 3.8.2 Format of a library
Change of rings 2.3.4 Change of rings
changechar D.2.6.1 changechar
changeord D.2.6.2 changeord
changes E.1 News and changes
changevar D.2.6.3 changevar
char 5.1.4 char
characteristic exponents D.5.5.7 invariants
Characteristic sets C.4 Characteristic sets
charpoly D.3.2.8 charpoly
charstr 5.1.6 charstr
char_series 5.1.5 char_series
Classification A.26 Classification
classify D.5.1.2 classify
classify.lib D.5.1 classify_lib
classify_lib D.5.1 classify_lib
cleardenom 5.1.7 cleardenom
close 5.1.8 close
closed_points D.9.1.10 closed_points
closetex D.8.2.1 closetex
closureFrac D.4.9.5 closureFrac
closureRingtower D.4.9.4 closureRingtower
clrSBmod D.4.4.15 clrSBmod
CMtype D.5.9.2 CMtype
Coding theory D.9 Coding theory
coef 5.1.9 coef
coefficient field 4.11 number
coeffs 5.1.10 coeffs
colred D.3.1.24 colred
comma 6.2.4 Usage of commas
Command line options 3.1.6 Command line options
command-line option, setting value of 5.1.125 system
command-line option, value of 5.1.125 system
command-line options, print all values of 5.1.125 system
command-line options, short help 3.1.6 Command line options
Commands 5 Functions and system variables
Commutative algebra D.4 Commutative algebra
completeReduction D.6.2.5 completeReduction
complex 3.3 Rings and orderings
Components of Windows installation E.4 Windows installation instructions
compress D.3.1.1 compress
concat D.3.1.2 concat
conductor, degree D.5.5.7 invariants
ContainedQ D.7.5.15 ContainedQ
content D.2.4.14 content
Conti-Traverso algorithm C.6.2.1 The algorithm of Conti and Traverso
continue 5.2.3 continue
continue 6.2.6 Behavior of continue
contract 5.1.11 contract
contributors 5.1.125 system
Control structures 5.2 Control structures
control_Matrix D.5.3.5 control_Matrix
copyright 1 Preface
corank D.5.1.3 corank
Critical points A.3 Critical points
cup D.4.3.1 cup
cupproduct D.4.3.2 cupproduct
curve singularities D.5.5 hnoether_lib
curve singularities D.8.3.3 parametrizesing
Customization of the Emacs interface 3.2.4 Customization of the Emacs interface
cyclic D.2.4.1 cyclic
Cyclic roots A.16 Cyclic roots
cyclotomic D.6.1.5 cyclotomic

D
Data types 4 Data types
DBM links 4.6.6 DBM links
dbprint 5.1.12 dbprint
debugger 3.10.2 Source code debugger
debugging library code 3.10.2 Source code debugger
Debugging tools 3.10 Debugging tools
debugLib, option 5.1.89 option
debug_log D.5.1.14 debug_log
dec1var D.4.4.7 dec1var
decodeSV D.9.1.9 decodeSV
def 4.1 def
def declarations 4.1.1 def declarations
DefaultDir 3.8.1 Loading of a library
defined 5.1.13 defined
deform D.5.8.1 deform
deform.lib D.5.2 deform_lib
Deformations A.8 Deformations
deform_lib D.5.2 deform_lib
defring D.2.6.4 defring
defringp D.2.6.6 defringp
defrings D.2.6.5 defrings
deg 5.1.14 deg
degBound 5.3.1 degBound
degree 5.1.15 degree
degree 6.3 Miscellaneous oddities
degree lexicographical ordering B.2.3 Global orderings
degree reverse lexicographical ordering B.2.3 Global orderings
degreepart D.7.1.1 degreepart
delete 5.1.16 delete
deleteSublist D.2.2.5 deleteSublist
delta D.5.5.14 delta
delta invariant D.4.6.4 deltaLoc
delta invariant D.5.5.14 delta
delta invariant. D.4.6.1 normal
deltaLoc D.4.6.4 deltaLoc
Demo mode 3.2.3 Demo mode
denominator D.2.4.16 denominator
Depth A.14 Depth
depth D.4.3.3 depth
derivate D.6.2.2 derivate
det 5.1.17 det
detadj D.5.6.1 detadj
det_B D.3.2.10 det_B
develop D.5.5.3 develop
Di Biase-Urbanke algorithm C.6.2.4 The algorithm of Di Biase and Urbanke
diag D.3.1.3 diag
diag_test D.3.2.6 diag_test
diff 5.1.18 diff
dim 5.1.19 dim
dim_slocus D.5.8.2 dim_slocus
discr D.5.9.5 discr
DISPLAY environment variable 3.1.3 The online help system
displayHNE D.5.5.6 displayHNE
displayInvariants D.5.5.8 displayInvariants
displayMultsequence D.5.5.10 displayMultsequence
div 4.3.3 int operations
div 6.3 Miscellaneous oddities
division 5.1.20 division
Documentation of a library 3.9.2 Documentation of a library
downloading E.2 Downloading instructions
dp, global ordering B.2.3 Global orderings
Dp, global ordering B.2.3 Global orderings
ds, local ordering B.2.4 Local orderings
Ds, local ordering B.2.4 Local orderings
dsum D.3.1.4 dsum
dual_code D.9.1.11 dual_code
dump 5.1.21 dump

E
echo 5.3.2 echo
Editing input 3.1.5 Editing input
Editing SINGULAR input files with Emacs 3.2.5 Editing SINGULAR input files with Emacs
EGCD D.7.5.1 EGCD
EGCDMain D.7.5.8 EGCDMain
eigenvals D.3.2.19 eigenvals
elim D.4.2.2 elim
elim.lib D.4.2 elim_lib
elim1 D.4.2.3 elim1
eliminate 5.1.22 eliminate
Elimination A.10 Elimination
elimlinearpart D.7.1.2 elimlinearpart
elimpart D.7.1.3 elimpart
elimpartanyr D.7.1.4 elimpartanyr
elim_lib D.4.2 elim_lib
else 5.2.7 if
Emacs 3.2 Emacs user interface
Emacs, a quick guide 3.2.1 A quick guide to Emacs
Emacs, customization of Singular mode 3.2.4 Customization of the Emacs interface
Emacs, editing Singular input files 3.2.5 Editing SINGULAR input files with Emacs
Emacs, important commands 3.2.6 Top 20 Emacs commands
Emacs, overview 3.2.1 A quick guide to Emacs
Emacs, running Singular under 3.2.2 Running SINGULAR under Emacs
Emacs, Singular demo mode 3.2.3 Demo mode
Emacs, user interface 3.2 Emacs user interface
endomorphism filtration D.5.4.13 endvfilt
endvfilt D.5.4.13 endvfilt
environment variable, DISPLAY 3.1.3 The online help system
equidim D.4.7.11 equidim
equidimMax D.4.7.12 equidimMax
equidimMaxEHV D.4.7.13 equidimMaxEHV
equiRadical D.4.7.9 equiRadical
equising.lib D.5.3 equising_lib
equisingular stratum D.5.3.3 esStratum
equisingularity ideal D.5.3.2 esIdeal
equising_lib D.5.3 equising_lib
ERROR 5.1.24 ERROR
error recovery 3.1.2 The SINGULAR prompt
esIdeal D.5.3.2 esIdeal
ESingular, no prompt E.3 Unix installation instructions
esStratum D.5.3.3 esStratum
eval 5.1.23 eval
evaluate_reynolds D.6.1.10 evaluate_reynolds
Evaluation of logical expressions 6.2.2 Evaluation of logical expressions
evnf D.3.2.18 evnf
example 5.1.25 example
Examples Appendix A Examples
Examples of ring declarations 3.3.1 Examples of ring declarations
execute 5.1.26 execute
exit 5.1.27 exit
exit 5.2.9 quit
export 5.2.5 export
expression list 4 Data types
Ext A.12 Computation of Ext
Ext D.4.3.5 Ext
extcurve D.9.1.5 extcurve
extdevelop D.5.5.4 extdevelop
extendring D.2.6.7 extendring
extension of rings D.4.8.3 splitring
extgcd 5.1.28 extgcd
Extra weight vector B.2.8 Extra weight vector
Ext_R D.4.3.4 Ext_R

F
facstd 5.1.29 facstd
Factor D.7.5.2 Factor
factorH D.2.2.22 factorH
factorial D.2.2.6 factorial
Factorization A.19 Factorization
factorize 5.1.30 factorize
FactorMain D.7.5.9 FactorMain
factory 1 Preface
Fast lexicographical GB A.27 Fast lexicographical GB
fastelim D.7.1.5 fastelim
fastHC, option 5.1.89 option
fetch 5.1.31 fetch
fetchall D.2.6.8 fetchall
fglm 5.1.32 fglm
fglm 5.1.122 stdfglm
fglmquot 5.1.33 fglmquot
fglm_solve D.7.2.6 fglm_solve
fibonacci D.2.2.7 fibonacci
field 4.11 number
file, .singularrc 3.1.7 Startup sequence
filecmd 5.1.34 files, input from
find 5.1.35 find
finduni 5.1.36 finduni
findvars D.7.1.6 findvars
finite field 4.11 number
Finite fields A.9 Finite fields
finitenessTest D.4.1.11 finitenessTest
finvar.lib D.6.1 finvar_lib
finvar_lib D.6.1 finvar_lib
First steps 2.3.1 First steps
fitting D.4.3.6 fitting
flatten D.3.1.5 flatten
flatteningStrat D.4.3.7 flatteningStrat
Flow control 3.5.6 Flow control
for 5.2.6 for
Format of a library 3.8.2 Format of a library
Formatting output A.15 Formatting output
fprintf 5.1.37 fprintf
Free resolution A.11 Free resolution
freemodule 5.1.38 freemodule
freerank D.2.4.3 freerank
Frübis-Krüger, Anne 1 Preface
Functions 5.1 Functions
furtherInvar D.6.2.7 furtherInvar
further_hn_proc D.5.5.21 further_hn_proc

G
galois field 4.11 number
Gauss-Manin connection C.5 Gauss-Manin connection
Gauss-Manin connection D.5.4 gaussman_lib
Gauss-Manin connection D.5.4.1 gmsring
Gauss-Manin connection D.5.4.2 gmsnf
Gauss-Manin connection D.5.4.3 gmscoeffs
Gauss-Manin connection D.5.4.4 bernstein
Gauss-Manin connection D.5.4.5 monodromy
Gauss-Manin connection D.5.4.6 spectrum
Gauss-Manin connection D.5.4.7 sppairs
Gauss-Manin connection D.5.4.10 vfilt
Gauss-Manin connection D.5.4.11 vwfilt
Gauss-Manin connection D.5.4.12 tmatrix
Gauss-Manin connection D.5.4.13 endvfilt
Gauss-Manin connection D.5.6 mondromy_lib
Gauss-Manin connection D.5.10.1 spectrumnd
gaussman.lib D.5.4 gaussman_lib
gaussman_lib D.5.4 gaussman_lib
gaussred D.3.2.11 gaussred
gaussred_pivot D.3.2.12 gaussred_pivot
gauss_col D.3.1.15 gauss_col
gauss_nf D.3.2.13 gauss_nf
gauss_row D.3.1.16 gauss_row
gcd 5.1.39 gcd
gen 5.1.40 gen
General command syntax 3.5.1 General command syntax
General concepts 3 General concepts
General purpose D.2 General purpose
General syntax of a ring declaration 3.3.2 General syntax of a ring declaration
general weighted lexicographical ordering B.2.4 Local orderings
general weighted reverse lexicographical ordering B.2.4 Local orderings
general.lib D.2.2 general_lib
general_lib D.2.2 general_lib
genericid D.2.5.1 genericid
genericmat D.3.1.6 genericmat
genus D.4.6.3 genus
German Umlaute 6.1 Limitations
getData D.4.4.20 getData
getdump 5.1.41 getdump
getenv 5.1.125 system
Getting started 2.3 Getting started
Global orderings B.2.3 Global orderings
GMP 1 Preface
gmscoeffs D.5.4.3 gmscoeffs
gmsnf D.5.4.2 gmsnf
gmsring D.5.4.1 gmsring
graphics.lib D.8.1 graphics_lib
graphics_lib D.8.1 graphics_lib
Grassmann, Hubert 1 Preface
Greuel, Gert-Martin 1 Preface
groebner 5.1.42 groebner
ground field 4.11 number
group_reynolds D.6.1.6 group_reynolds
GTZmod D.4.4.6 GTZmod
GTZopt D.4.4.13 GTZopt
Guidelines for writing a library 3.9 Guidelines for writing a library
G_a -Invariants A.17 G_a -Invariants

H
H2basis D.5.6.5 H2basis
Hamburger-Noether expansion D.5.5 hnoether_lib
Hamburger-Noether expansions D.9.1.1 Adj_div
hardware platform 5.1.125 system
Hcode D.5.1.4 Hcode
headStand D.3.1.27 headStand
help 5.1.43 help
help browsers 3.1.3 The online help system
help browsers, dummy 3.1.3 The online help system
help browsers, dummy 3.1.3 The online help system
help browsers, emacs 3.1.3 The online help system
help browsers, html 3.1.3 The online help system
help browsers, info 3.1.3 The online help system
help browsers, netscape 3.1.3 The online help system
help browsers, setting command to use 3.1.3 The online help system
help browsers, setting the 5.1.125 system
help browsers, tkinfo 3.1.3 The online help system
help browsers, winhlp 3.1.3 The online help system
help browsers, xinfo 3.1.3 The online help system
help string of a library 3.9.4 The help string of a library
help string of a procedure 3.9.5 The help string of procedures
help, accessing over the net 3.1.6 Command line options
help, online help system 3.1.3 The online help system
hessenberg D.3.2.17 hessenberg
highcorner 5.1.44 highcorner
hilb 5.1.45 hilb
Hilbert function 5.1.123 stdhilb
Hilbert function C.2 Hilbert function
Hilbert series C.2 Hilbert function
HilbertSeries D.6.3.1 HilbertSeries
HilbertWeights D.6.3.2 HilbertWeights
hilbPoly D.2.4.21 hilbPoly
hilbvec D.7.1.7 hilbvec
hnexpansion D.5.5.1 hnexpansion
hnoether.lib D.5.5 hnoether_lib
hnoether_lib D.5.5 hnoether_lib
Hom D.4.3.8 Hom
HomJJ D.4.6.2 HomJJ
homog 5.1.46 homog
homolog.lib D.4.3 homolog_lib
homology D.4.3.9 homology
homolog_lib D.4.3 homolog_lib
Hosten-Sturmfels algorithm C.6.2.3 The algorithm of Hosten and Sturmfels
How to enter and exit 3.1.1 How to enter and exit
How to use this manual 2.2 How to use this manual
howto, download E.2 Downloading instructions
howto, install on Macintosh E.5 Macintosh installation instructions
howto, install on Unix E.3 Unix installation instructions
howto, install on Windows E.4 Windows installation instructions
hres 5.1.47 hres
html, default help 3.1.3 The online help system
html, default help 3.1.3 The online help system
hypersurface singularity D.5.6 mondromy_lib

I
id2mod D.2.4.18 id2mod
ideal 4.2 ideal
ideal declarations 4.2.1 ideal declarations
ideal expressions 4.2.2 ideal expressions
Ideal membership C.1 Standard bases
ideal operations 4.2.3 ideal operations
ideal related functions 4.2.4 ideal related functions
ideal, toric C.6.1 Toric ideals
ideals 6.3 Miscellaneous oddities
idealSimplify D.7.1.15 idealSimplify
idealSplit D.7.1.16 idealSplit
identifier 6.4 Identifier resolution
Identifiers, syntax of 3.5.3 Names
if 5.2.7 if
ImageGroup D.6.3.4 ImageGroup
ImageVariety D.6.3.3 ImageVariety
image_of_variety D.6.1.31 image_of_variety
imap 5.1.48 imap
Imap, option 5.1.89 option
imapall D.2.6.9 imapall
impart 5.1.49 impart
Implemented algorithms 3.4 Implemented algorithms
IN 5.1.61 lead
indepSet 5.1.50 indepSet
Index F Index
indexed names 3.5.2 Special characters
indSet D.4.4.12 indSet
info 3.1.3 The online help system
info 3.1.3 The online help system
INFO environment variable 3.1.3 The online help system
info in a library 3.8.2 Format of a library
info string of a library 3.9.4 The help string of a library
init_debug D.5.1.5 init_debug
inout.lib D.2.3 inout_lib
inout_lib D.2.3 inout_lib
input 3.6 Input and output
insert 5.1.51 insert
instructions, downloading E.2 Downloading instructions
instructions, Macintosh installation E.5 Macintosh installation instructions
instructions, Unix installation E.3 Unix installation instructions
instructions, Windows installation E.4 Windows installation instructions
inSubring D.4.1.3 inSubring
int 4.3 int
int declarations 4.3.1 int declarations
int expressions 4.3.2 int expressions
int operations 4.3.3 int operations
int related functions 4.3.4 int related functions
integer division 6.3 Miscellaneous oddities
integer programming C.6.4 Integer programming
Interactive use 3.1 Interactive use
interface, Emacs 3.2 Emacs user interface
internalfunctions D.5.1.6 internalfunctions
interpolate D.7.2.5 interpolate
interred 5.1.52 interred
Interrupting SINGULAR 3.1.4 Interrupting SINGULAR
intersect 5.1.53 intersect
intersection D.5.5.11 intersection
intersection multiplicity D.5.5.11 intersection
intmat 4.4 intmat
intmat declarations 4.4.1 intmat declarations
intmat expressions 4.4.2 intmat expressions
intmat operations 4.4.4 intmat operations
intmat related functions 4.4.5 intmat related functions
intmat type cast 4.4.3 intmat type cast
intprog.lib D.4.10 intprog_lib
intprog_lib D.4.10 intprog_lib
Introduction 2 Introduction
intStrategy, option 5.1.89 option
intvec 4.5 intvec
intvec declarations 4.5.1 intvec declarations
intvec expressions 4.5.2 intvec expressions
intvec operations 4.5.3 intvec operations
intvec related functions 4.5.4 intvec related functions
Invariant theory D.6 Invariant theory
InvariantQ D.6.3.6 InvariantQ
invariantRing D.6.2.1 invariantRing
InvariantRing D.6.3.5 InvariantRing
invariants D.5.5.7 invariants
Invariants of a finite group A.18 Invariants of a finite group
invariant_basis D.6.1.11 invariant_basis
invariant_basis_reynolds D.6.1.12 invariant_basis_reynolds
invariant_ring D.6.1.1 invariant_ring
invariant_ring_random D.6.1.2 invariant_ring_random
inverse D.3.2.1 inverse
inverse_B D.3.2.2 inverse_B
inverse_L D.3.2.3 inverse_L
InvertNumberMain D.7.5.10 InvertNumberMain
invunit D.5.6.2 invunit
irreducible power series D.5.5.13 is_irred
isCM D.4.3.10 isCM
isCMcod2 D.5.9.1 isCMcod2
isEquising D.5.3.4 isEquising
isFlat D.4.3.11 isFlat
isLocallyFree D.4.3.12 isLocallyFree
isReg D.4.3.13 isReg
is_active D.5.8.3 is_active
is_bijective D.4.1.8 is_bijective
is_ci D.5.8.4 is_ci
is_complex D.3.1.7 is_complex
is_homog D.2.4.4 is_homog
is_injective D.4.1.6 is_injective
is_irred D.5.5.13 is_irred
is_is D.5.8.5 is_is
is_NND D.5.5.16 is_NND
is_reg D.5.8.6 is_reg
is_regs D.5.8.7 is_regs
is_surjective D.4.1.7 is_surjective
is_zero D.2.4.5 is_zero

J
jacob 5.1.54 jacob
jacoblift D.5.6.3 jacoblift
jet 5.1.55 jet
jordan D.3.2.21 jordan
jordanbasis D.3.2.22 jordanbasis
jordanmatrix D.3.2.23 jordanmatrix
jordannf D.3.2.24 jordannf

K
katsura D.2.4.2 katsura
kbase 5.1.56 kbase
keepring 5.2.8 keepring
Keilen, Thomas 1 Preface
kernel 5.1.95 preimage
kernel D.4.3.14 kernel
Kernel of module homomorphisms A.24 Kernel of module homomorphisms
kill 5.1.57 kill
killall D.2.2.9 killall
killattrib 5.1.58 killattrib
kill_rings D.5.2.5 kill_rings
kmemory D.2.2.8 kmemory
kohom D.4.3.15 kohom
kontrahom D.4.3.16 kontrahom
koszul 5.1.59 koszul
KoszulHomology D.4.3.17 KoszulHomology
Krüger, Kai 1 Preface
KSpencerKernel D.5.9.9 KSpencerKernel

L
laguerre 5.1.60 laguerre
laguerre_solve D.7.2.1 laguerre_solve
latex.lib D.8.2 latex_lib
latex_lib D.8.2 latex_lib
lcm D.2.4.6 lcm
lead 5.1.61 lead
leadcoef 5.1.62 leadcoef
leadexp 5.1.63 leadexp
leadmonom 5.1.64 leadmonom
Levandovskyy, Viktor 1 Preface
lexicographical ordering B.2.3 Global orderings
lex_solve D.7.2.7 lex_solve
LIB 5.1.65 LIB
lib2doc 3.9.2.1 lib2doc
libfac 1 Preface
libparse 3.10.5 libparse
Libraries 3.8 Libraries
library, documentation 3.9.2 Documentation of a library
library, Guidelines for writing 3.9 Guidelines for writing a library
library, help string 3.9.4 The help string of a library
library, info string 3.9.4 The help string of a library
library, info string 3.9.6 template_lib
library, procedures 3.9.1 Procedures in a library
library, template 3.9.6 template_lib
library, template.lib 3.9.6 template_lib
library, typesetting of help strings 3.9.3 Typesetting of help strings
LIBs Appendix D SINGULAR libraries
lift 5.1.66 lift
liftstd 5.1.67 liftstd
lift_kbase D.5.2.3 lift_kbase
lift_rel_kb D.5.2.4 lift_rel_kb
Limitations 6.1 Limitations
linalg.lib D.3.2 linalg_lib
linalg_lib D.3.2 linalg_lib
Linear algebra D.3 Linear algebra
linear code, dual D.9.1.11 dual_code
linear code, systematic D.9.1.12 sys_code
LinearActionQ D.6.3.8 LinearActionQ
LinearCombinationQ D.6.3.9 LinearCombinationQ
LinearizeAction D.6.3.7 LinearizeAction
linearpart D.7.1.8 linearpart
link 4.6 link
link A.28 Parallelization with MPtcp links
link declarations 4.6.1 link declarations
link expressions 4.6.2 link expressions
link related functions 4.6.3 link related functions
list 4.7 list
list declarations 4.7.1 list declarations
list expressions 4.7.2 list expressions
list operations 4.7.3 list operations
list related functions 4.7.4 list related functions
listvar 5.1.68 listvar
Loading of a library 3.8.1 Loading of a library
loadLib, option 5.1.89 option
loadProc, option 5.1.89 option
local names 3.7.2 Names in procedures
Local orderings B.2.4 Local orderings
local weighted lexicographical ordering B.2.4 Local orderings
local weighted reverse lexicographical ordering B.2.4 Local orderings
localInvar D.6.2.6 localInvar
locstd D.5.8.8 locstd
Long coefficients A.5 Long coefficients
Lossen, Christoph 1 Preface
lp, global ordering B.2.3 Global orderings
lprint D.2.3.2 lprint
lres 5.1.69 lres
ls, local ordering B.2.4 Local orderings

M
M, ordering B.2.6 Matrix orderings
Macintosh installation E.5 Macintosh installation instructions
map 4.8 map
map declarations 4.8.1 map declarations
map expressions 4.8.2 map expressions
map operations 4.8.3 map operations
mapall D.2.6.10 mapall
mapIsFinite D.4.1.10 mapIsFinite
Mathematical background Appendix C Mathematical background
mathematical objects B.1 Representation of mathematical objects
mathinit D.8.1.2 mathinit
matrix 4.9 matrix
matrix declarations 4.9.1 matrix declarations
matrix expressions 4.9.2 matrix expressions
matrix operations 4.9.4 matrix operations
Matrix orderings B.2.6 Matrix orderings
matrix related functions 4.9.5 matrix related functions
matrix type cast 4.9.3 matrix type cast
matrix.lib D.3.1 matrix_lib
matrixT1 D.5.9.3 matrixT1
matrix_lib D.3.1 matrix_lib
mat_rk D.3.2.14 mat_rk
Max D.5.7.8 Max
maxcoef D.2.4.7 maxcoef
maxdeg D.2.4.8 maxdeg
maxdeg1 D.2.4.9 maxdeg1
maxideal 5.1.70 maxideal
mdouble 3.9.6.1 mdouble
mem, option 5.1.89 option
memory 5.1.71 memory
memory managment 5.1.71 memory
Milnor A.1 Milnor and Tjurina
milnor D.5.8.9 milnor
milnorcode D.5.1.7 milnorcode
Min D.5.7.9 Min
minAssChar D.4.7.5 minAssChar
minAssGTZ D.4.7.4 minAssGTZ
minbase 5.1.72 minbase
mindeg D.2.4.10 mindeg
mindeg1 D.2.4.11 mindeg1
minimal display time, setting the 5.1.125 system
MinimalDecomposition D.6.3.10 MinimalDecomposition
minipoly D.3.2.20 minipoly
minor 5.1.73 minor
minpoly 5.3.3 minpoly
minres 5.1.74 minres
minRes, option 5.1.89 option
minSatMod D.4.4.16 minSatMod
mixed Hodge structure D.5.4 gaussman_lib
mixed Hodge structure D.5.4.6 spectrum
mixed Hodge structure D.5.4.7 sppairs
mixed Hodge structure D.5.4.10 vfilt
mixed Hodge structure D.5.4.11 vwfilt
mixed Hodge structure D.5.4.12 tmatrix
mixed Hodge structure D.5.4.13 endvfilt
mod 4.3.3 int operations
mod 4.11.3 number operations
mod2id D.2.4.17 mod2id
modDec D.4.4.4 modDec
ModEqn D.5.7.2 ModEqn
module 4.10 module
module declarations 4.10.1 module declarations
module expressions 4.10.2 module expressions
module operations 4.10.3 module operations
module ordering C B.2.5 Module orderings
module ordering c B.2.5 Module orderings
Module orderings B.2.5 Module orderings
module related functions 4.10.4 module related functions
Modules and and their annihilator 2.3.5 Modules and their annihilator
modulesEqual D.4.4.19 modulesEqual
module_containment D.4.1.2 module_containment
modulo 5.1.75 modulo
mod_versal D.5.2.2 mod_versal
molien D.6.1.7 molien
mondromy.lib D.5.6 mondromy_lib
mondromy_lib D.5.6 mondromy_lib
monitor 5.1.76 monitor
monodromy D.5.4 gaussman_lib
monodromy D.5.4.5 monodromy
monodromy D.5.4.5 monodromy
Monodromy D.5.6 mondromy_lib
monodromyB D.5.6.4 monodromyB
Monomial orderings B.2 Monomial orderings
monomial orderings B.2.2 General definitions for orderings
monomial orderings introduction B.2.1 Introduction to orderings
Monomial orderings, Term orderings 3.3.3 Term orderings
monomials and precedence 6.3 Miscellaneous oddities
morsesplit D.5.1.8 morsesplit
MP 1 Preface
MP links 4.6.5 MP links
MP, groebner basis computations 5.1.42 groebner
MPfile links 4.6.5.1 MPfile links
mplot D.8.1.3 mplot
mpresmat 5.1.77 mpresmat
mprimdec.lib D.4.4 mprimdec_lib
mprimdec_lib D.4.4 mprimdec_lib
MPtcp A.28 Parallelization with MPtcp links
MPtcp links 4.6.5.2 MPtcp links
mp_res_mat D.7.2.4 mp_res_mat
mregular.lib D.4.5 mregular_lib
mregular_lib D.4.5 mregular_lib
mres 5.1.78 mres
mstd 5.1.79 mstd
msum 3.9.6.3 msum
mtripple 3.9.6.2 mtripple
mult 5.1.80 mult
mult 6.3 Miscellaneous oddities
multBound 5.3.4 multBound
multcol D.3.1.19 multcol
multiplicities, sequence of D.5.5.7 invariants
multiplicity sequence D.5.5.9 multsequence
multrow D.3.1.20 multrow
multsequence D.5.5.9 multsequence

N
nameof 5.1.81 nameof
Names 3.5.3 Names
names 5.1.82 names
Names in procedures 3.7.2 Names in procedures
nblocks 5.1.125 system
ncols 5.1.83 ncols
negative degree lexicographical ordering B.2.4 Local orderings
negative degree reverse lexicographical ordering B.2.4 Local orderings
negative lexicographical ordering B.2.4 Local orderings
net access 3.1.6 Command line options
netscape 3.1.3 The online help system
NETSCAPE environment variable 3.1.3 The online help system
Neumann, Wolfgang 1 Preface
newline 4.17 string
news E.1 News and changes
Newton non-degenerate D.5.5.16 is_NND
Newton polygon D.5.5.15 newtonpoly
Newton polygon D.5.5.16 is_NND
newtonpoly D.5.5.15 newtonpoly
NF 5.1.106 reduce
nf_icis D.5.8.10 nf_icis
noether 5.3.5 noether
noetherNormal D.4.1.9 noetherNormal
non-english special characters 6.1 Limitations
none, option 5.1.89 option
normal D.4.6.1 normal
Normal form C.1 Standard bases
normal.lib D.4.6 normal_lib
normalform D.5.1.13 normalform
normalI D.4.9.2 normalI
Normalization A.22 Normalization
normalization D.4.6.1 normal
normalization D.8.3.1 parametrize
normalization D.8.3.2 parametrizepd
normalize D.2.4.12 normalize
normal_lib D.4.6 normal_lib
not 4.3.6 boolean operations
notBuckets, option 5.1.89 option
notRegularity, option 5.1.89 option
notSugar, option 5.1.89 option
npars 5.1.84 npars
nres 5.1.85 nres
nrows 5.1.86 nrows
nselect D.4.2.4 nselect
NSplaces D.9.1.2 NSplaces
ntsolve.lib D.7.4 ntsolve_lib
ntsolve_lib D.7.4 ntsolve_lib
nt_solve D.7.4.1 nt_solve
NullCone D.6.3.11 NullCone
number 4.11 number
number declarations 4.11.1 number declarations
number expressions 4.11.2 number expressions
number operations 4.11.3 number operations
number related functions 4.11.4 number related functions
number_e D.2.2.10 number_e
number_pi D.2.2.11 number_pi
numerator D.2.4.15 numerator
nvars 5.1.87 nvars

O
Objects 3.5.4 Objects
oldStd, option 5.1.89 option
online help 3.1.3 The online help system
open 5.1.88 open
opentex D.8.2.2 opentex
opposite Hodge filtration D.5.4.12 tmatrix
option 5.1.89 option
or 4.3.6 boolean operations
or 6.2.2 Evaluation of logical expressions
orbit_variety D.6.1.29 orbit_variety
ord 5.1.90 ord
orderings B.2.2 General definitions for orderings
orderings introduction B.2.1 Introduction to orderings
orderings, a B.2.8 Extra weight vector
orderings, global B.2.3 Global orderings
orderings, local B.2.4 Local orderings
orderings, M B.2.6 Matrix orderings
orderings, product B.2.7 Product orderings
ordstr 5.1.91 ordstr
ord_test D.2.6.11 ord_test
orthogonalize D.3.2.5 orthogonalize
outer D.3.1.8 outer
output 3.6 Input and output

P
par 5.1.92 par
Parallelization A.28 Parallelization with MPtcp links
paramet.lib D.8.3 paramet_lib
Parameter list 3.7.3 Parameter list
parameter, as numbers 4.11 number
Parameters A.6 Parameters
parametrisation D.5.5.5 parametrisation
parametrization D.5.5.5 parametrisation
parametrization D.8.3.1 parametrize
parametrization D.8.3.2 parametrizepd
parametrization D.8.3.3 parametrizesing
parametrize D.8.3.1 parametrize
parametrizepd D.8.3.2 parametrizepd
parametrizesing D.8.3.3 parametrizesing
paramet_lib D.8.3 paramet_lib
pardeg 5.1.93 pardeg
parstr 5.1.94 parstr
partial_molien D.6.1.9 partial_molien
path 3.8.1 Loading of a library
pause D.2.3.10 pause
permcol D.3.1.21 permcol
permrow D.3.1.22 permrow
permute_L D.9.1.13 permute_L
Pfister, Gerhard 1 Preface
pid 5.1.125 system
plot D.8.4.1 plot
pmat D.2.3.3 pmat
Pohl, Wilfred 1 Preface
Polar curves A.13 Polar curves
poly 4.12 poly
poly declarations 4.12.1 poly declarations
poly expressions 4.12.2 poly expressions
poly operations 4.12.3 poly operations
poly related functions 4.12.4 poly related functions
poly.lib D.2.4 poly_lib
Polynomial data Appendix B Polynomial data
poly_lib D.2.4 poly_lib
posweight D.5.9.8 posweight
pos_def D.3.2.16 pos_def
Pottier algorithm C.6.2.2 The algorithm of Pottier
power D.3.1.9 power
power_products D.6.1.23 power_products
preComp D.4.4.11 preComp
Preface 1 Preface
preimage 5.1.95 preimage
prepareAss D.4.7.10 prepareAss
prepMat D.6.4.1 prepMat
prepSV D.9.1.8 prepSV
presolve.lib D.7.1 presolve_lib
presolve_lib D.7.1 presolve_lib
Primary decomposition A.21 Primary decomposition
primary_char0 D.6.1.13 primary_char0
primary_char0_no_molien D.6.1.15 primary_char0_no_molien
primary_char0_no_molien_random D.6.1.20 primary_char0_no_molien_random
primary_char0_random D.6.1.18 primary_char0_random
primary_charp D.6.1.14 primary_charp
primary_charp_no_molien D.6.1.16 primary_charp_no_molien
primary_charp_no_molien_random D.6.1.21 primary_charp_no_molien_random
primary_charp_random D.6.1.19 primary_charp_random
primary_charp_without D.6.1.17 primary_charp_without
primary_charp_without_random D.6.1.22 primary_charp_without_random
primary_invariants D.6.1.3 primary_invariants
primary_invariants_random D.6.1.4 primary_invariants_random
primdec.lib D.4.7 primdec_lib
PrimdecA D.4.4.2 PrimdecA
PrimdecB D.4.4.3 PrimdecB
primdecGTZ D.4.7.2 primdecGTZ
primdecSY D.4.7.3 primdecSY
primdec_lib D.4.7 primdec_lib
prime 5.1.96 prime
primeClosure D.4.9.3 primeClosure
primecoeffs D.2.2.18 primecoeffs
primefactors D.2.2.19 primefactors
primes D.2.2.12 primes
primitiv.lib D.4.8 primitiv_lib
primitive D.4.8.1 primitive
primitive element D.4.8.1 primitive
primitive_extra D.4.8.2 primitive_extra
primitiv_lib D.4.8 primitiv_lib
primTest D.4.4.10 primTest
print 5.1.97 print
printf 5.1.98 printf
printlevel 5.3.6 printlevel
proc 4.13 proc
proc declaration 4.13.1 proc declaration
Procedure commands 3.7.4 Procedure commands
Procedure definition 3.7.1 Procedure definition
procedure, ASCII help 3.9.6.1 mdouble
procedure, ASCII/Texinfo help 3.9.6.3 msum
procedure, texinfo help 3.9.6.2 mtripple
Procedures 3.7 Procedures
Procedures and LIB A.2 Procedures and LIB
Procedures and libraries 2.3.3 Procedures and libraries
Procedures in a library 3.9.1 Procedures in a library
procedures, help string 3.9.5 The help string of procedures
procedures, static 3.7.1 Procedure definition
product D.2.2.13 product
Product orderings B.2.7 Product orderings
progress watch 5.1.89 option
prompt 3.1.2 The SINGULAR prompt
prompt, option 5.1.89 option
prot, option 5.1.89 option
protocoll of computations 5.1.89 option
prune 5.1.99 prune
Puiseux expansion D.5.5 hnoether_lib
Puiseux pairs A.20 Puiseux pairs
Puiseux pairs D.5.5.7 invariants
puiseux2generators D.5.5.17 puiseux2generators

Q
qhmatrix D.5.9.6 qhmatrix
qhmoduli.lib D.5.7 qhmoduli_lib
qhmoduli_lib D.5.7 qhmoduli_lib
qhspectrum D.5.8.12 qhspectrum
qhweight 5.1.100 qhweight
qring 4.14 qring
qring 6.3 Miscellaneous oddities
qring declaration 4.14.1 qring declaration
quickclass D.5.1.9 quickclass
quit 5.2.9 quit
quot 5.1.101 quot
quote 5.1.102 quote
quotient 5.1.103 quotient
Quotient D.7.5.3 Quotient
QuotientEquations D.5.7.3 QuotientEquations
QuotientMain D.7.5.11 QuotientMain

R
radical D.4.7.7 radical
radicalEHV D.4.7.8 radicalEHV
rad_con D.2.4.13 rad_con
random 5.1.104 random
random number generator, seed 5.1.125 system
random.lib D.2.5 random_lib
randomBinomial D.2.5.11 randomBinomial
randomid D.2.5.2 randomid
randomLast D.2.5.10 randomLast
randommat D.2.5.3 randommat
random_lib D.2.5 random_lib
read 5.1.105 read
reading, option 5.1.89 option
readline 1 Preface
real 3.3 Rings and orderings
redefine, option 5.1.89 option
redSB, option 5.1.89 option
redTail, option 5.1.89 option
redThrough, option 5.1.89 option
reduce 5.1.106 reduce
reduced standard basis 5.1.89 option
reduction D.6.2.4 reduction
ReesAlgebra D.4.9.1 ReesAlgebra
reesclos.lib D.4.9 reesclos_lib
reesclos_lib D.4.9 reesclos_lib
References C.7 References
regularity 5.1.107 regularity
regularity C.3 Syzygies and resolutions
reg_CM D.4.5.1 reg_CM
reg_curve D.4.5.2 reg_curve
reg_moncurve D.4.5.3 reg_moncurve
relative_orbit_variety D.6.1.30 relative_orbit_variety
Release Notes E Release Notes
relweight D.5.9.7 relweight
Remainder D.7.5.4 Remainder
RemainderMain D.7.5.12 RemainderMain
repart 5.1.108 repart
representation, math objects B.1 Representation of mathematical objects
res 5.1.109 res
reservedName 5.1.110 reservedName
Resolution 2.3.6 Resolution
resolution 4.15 resolution
resolution declarations 4.15.1 resolution declarations
resolution expressions 4.15.2 resolution expressions
resolution related functions 4.15.3 resolution related functions
resolution, computation of 5.1.109 res
resolution, hilbert-driven 5.1.47 hres
resolution, La Scala’s method 5.1.69 lres
resultant 5.1.111 resultant
return 5.2.10 return
return type of procedures 6.2.7 Return type of procedures
returnSB, option 5.1.89 option
reverse lexicographical ordering B.2.3 Global orderings
ReynoldsImage D.6.3.12 ReynoldsImage
ReynoldsOperator D.6.3.13 ReynoldsOperator
reynolds_molien D.6.1.8 reynolds_molien
ring 4.16 ring
ring declarations 4.16.1 ring declarations
ring operations 4.16.3 ring operations
ring related functions 4.16.2 ring related functions
ring.lib D.2.6 ring_lib
Rings and orderings 3.3 Rings and orderings
Rings and standard bases 2.3.2 Rings and standard bases
ringtensor D.2.6.12 ringtensor
ringweights D.2.6.13 ringweights
ring_lib D.2.6 ring_lib
rinvar.lib D.6.3 rinvar_lib
rinvar_lib D.6.3 rinvar_lib
rMacaulay D.2.3.4 rMacaulay
rmx D.8.2.12 rmx
rm_unitcol D.3.1.26 rm_unitcol
rm_unitrow D.3.1.25 rm_unitrow
RootDir 3.8.1 Loading of a library
Roots D.7.5.5 Roots
RootsMain D.7.5.13 RootsMain
rowred D.3.1.23 rowred
rp, global ordering B.2.3 Global orderings
Running SINGULAR under Emacs 3.2.2 Running SINGULAR under Emacs
rvalue 6.2.1 No rvalue of increments and assignments
rvar 5.1.112 rvar

S
SameQ D.7.5.16 SameQ
sat D.4.2.5 sat
Saturation A.4 Saturation
Schmidt, Jens 1 Preface
Schönemann, Hans 1 Preface
Schulze, Mathias 1 Preface
SDB breakpoint 3.10.2 Source code debugger
SDB debugger 3.10.2 Source code debugger
sdb, source code debugger 3.10.2 Source code debugger
SearchPath 3.8.1 Loading of a library
secondary_and_irreducibles_no_molien D.6.1.27 secondary_and_irreducibles_no_molien
secondary_char0 D.6.1.24 secondary_char0
secondary_charp D.6.1.25 secondary_charp
secondary_not_cohen_macaulay D.6.1.28 secondary_not_cohen_macaulay
secondary_no_molien D.6.1.26 secondary_no_molien
select D.4.2.6 select
select1 D.4.2.7 select1
semiCMcod2 D.5.9.4 semiCMcod2
semigroup of values D.5.5.7 invariants
separateHNE D.5.5.18 separateHNE
separator D.4.4.1 separator
setenv 5.1.125 system
sethnering D.5.5.2 sethnering
setring 5.1.113 setring
sh 5.1.125 system
short 5.3.7 short
shortid D.7.1.13 shortid
show D.2.3.5 show
showrecursive D.2.3.6 showrecursive
simplex 5.1.114 simplex
simplexOut D.7.2.8 simplexOut
simplify 5.1.115 simplify
SimplifyIdeal D.6.3.14 SimplifyIdeal
sing.lib D.5.8 sing_lib
Singular 5.1.125 system
SINGULAR libraries Appendix D SINGULAR libraries
Singular, customization of Emacs user interface 3.2.4 Customization of the Emacs interface
Singular, demo mode 3.2.3 Demo mode
Singular, editing input files with Emacs 3.2.5 Editing SINGULAR input files with Emacs
Singular, important commands of Emacs interface 3.2.6 Top 20 Emacs commands
Singular, running within Emacs 3.2.2 Running SINGULAR under Emacs
SINGULARHIST 3.1.5 Editing input
Singularities D.5 Singularities
singularities D.5.4 gaussman_lib
singularities D.5.4.1 gmsring
singularities D.5.4.2 gmsnf
singularities D.5.4.3 gmscoeffs
singularities D.5.4.4 bernstein
singularities D.5.4.5 monodromy
singularities D.5.4.6 spectrum
singularities D.5.4.7 sppairs
singularities D.5.4.10 vfilt
singularities D.5.4.11 vwfilt
singularities D.5.4.12 tmatrix
singularities D.5.4.13 endvfilt
singularities D.5.10.1 spectrumnd
singularity D.5.1.10 singularity
SINGULARPATH 3.8.1 Loading of a library
singularrc 3.1.7 Startup sequence
sing_lib D.5.8 sing_lib
size 5.1.116 size
size 6.3 Miscellaneous oddities
skewmat D.3.1.10 skewmat
sleep 5.1.120 status
slocus D.5.8.11 slocus
solve D.7.2.2 solve
solve.lib D.7.2 solve_lib
solvelinearpart D.7.1.10 solvelinearpart
solve_IP D.4.10.1 solve_IP
solve_lib D.7.2 solve_lib
sort D.2.2.14 sort
sortandmap D.7.1.11 sortandmap
sortier D.6.2.8 sortier
sortvars D.7.1.12 sortvars
sortvec 5.1.117 sortvec
Source code debugger, invocation 3.1.6 Command line options
source code debugger, sdb 3.10.2 Source code debugger
spadd D.5.4.16 spadd
sparseid D.2.5.4 sparseid
sparsemat D.2.5.6 sparsemat
sparsematrix D.2.5.5 sparsematrix
sparsepoly D.2.5.7 sparsepoly
sparsetriag D.2.5.8 sparsetriag
spcurve.lib D.5.9 spcurve_lib
spcurve_lib D.5.9 spcurve_lib
Special characters 3.5.2 Special characters
special characters, non-english 6.1 Limitations
specialModulesEqual D.4.4.17 specialModulesEqual
spectral pairs D.5.4 gaussman_lib
spectral pairs D.5.4.7 sppairs
spectral pairs D.5.4.11 vwfilt
spectrum D.5.4 gaussman_lib
spectrum D.5.4.6 spectrum
spectrum D.5.4.6 spectrum
spectrum D.5.4.7 sppairs
spectrum D.5.4.10 vfilt
spectrum D.5.4.11 vwfilt
spectrum D.5.10.1 spectrumnd
spectrum.lib D.5.10 spectrum_lib
spectrumnd D.5.10.1 spectrumnd
spectrum_lib D.5.10 spectrum_lib
spgamma D.5.4.23 spgamma
spgeomgenus D.5.4.22 spgeomgenus
spissemicont D.5.4.19 spissemicont
split D.2.3.7 split
splitring D.4.8.3 splitring
splitting D.4.4.9 splitting
spmilnor D.5.4.21 spmilnor
spmul D.5.4.18 spmul
spnf D.5.4.8 spnf
sppairs D.5.4.7 sppairs
sppnf D.5.4.9 sppnf
sppprint D.5.4.15 sppprint
spprint D.5.4.14 spprint
sprintf 5.1.118 sprintf
spsemicont D.5.4.20 spsemicont
spsub D.5.4.17 spsub
SQFRNorm D.7.5.6 SQFRNorm
SQFRNormMain D.7.5.14 SQFRNormMain
squarefree D.5.5.19 squarefree
sres 5.1.119 sres
StabEqn D.5.7.4 StabEqn
StabEqnId D.5.7.5 StabEqnId
StabOrder D.5.7.6 StabOrder
staircase D.8.1.1 staircase
Standard bases C.1 Standard bases
standard.lib D.1 standard_lib
standard_lib D.1 standard_lib
Startup sequence 3.1.7 Startup sequence
static procedures 3.7.1 Procedure definition
status 5.1.120 status
std 5.1.121 std
stdfglm 5.1.122 stdfglm
stdhilb 5.1.123 stdhilb
stdModulesEqual D.4.4.18 stdModulesEqual
Stobbe, Rüdiger 1 Preface
stratify D.6.4.2 stratify
stratify.lib D.6.4 stratify_lib
stratify_lib D.6.4 stratify_lib
string 4.17 string
string 6.3 Miscellaneous oddities
string declarations 4.17.1 string declarations
string expressions 4.17.2 string expressions
string operations 4.17.4 string operations
string related functions 4.17.5 string related functions
string type cast 4.17.3 string type cast
stripHNE D.5.5.12 stripHNE
submat D.3.1.11 submat
subrInterred D.2.4.20 subrInterred
subst 5.1.124 subst
substitute D.2.4.19 substitute
sugarCrit, option 5.1.89 option
sum D.2.2.15 sum
surf.lib D.8.4 surf_lib
surf_lib D.8.4 surf_lib
SuSE, ESingular bug E.3 Unix installation instructions
suspend 5.1.120 status
SV-decoding algorithm D.9.1.9 decodeSV
SV-decoding algorithm, preprocessing D.9.1.8 prepSV
swap D.5.1.11 swap
switch 6.2.3 No case or switch statement
Symbolic-numerical solving D.7 Symbolic-numerical solving
symmat D.3.1.12 symmat
sym_gauss D.3.2.4 sym_gauss
system 5.1.125 system
System variables 5.3 System variables
system, – 5.1.125 system
system, –long_option_name 5.1.125 system
system, –long_option_name=value 5.1.125 system
system, browsers 5.1.125 system
system, contributors 5.1.125 system
system, gen 5.1.125 system
system, getenv 5.1.125 system
system, nblocks 5.1.125 system
system, pid 5.1.125 system
system, setenv 5.1.125 system
system, sh 5.1.125 system
system, Singular 5.1.125 system
system, tty 5.1.125 system
system, uname 5.1.125 system
system, version 5.1.125 system
sys_code D.9.1.12 sys_code
syz 5.1.126 syz
Syzygies and resolutions C.3 Syzygies and resolutions

T
T1 A.7 T1 and T2
T2 A.7 T1 and T2
tab D.2.3.8 tab
Table D.5.7.10 Table
tangentcone D.5.8.18 tangentcone
tau_es D.5.3.1 tau_es
Template for writing a library 3.9.6 template_lib
template.lib 3.9.6 template_lib
template.lib 3.9.6 template_lib
template_lib 3.9.6 template_lib
template_lib 3.9.6 template_lib
tensor D.3.1.13 tensor
tensorMod D.4.3.18 tensorMod
term orderings B.2.2 General definitions for orderings
term orderings introduction B.2.1 Introduction to orderings
testPrimary D.4.7.6 testPrimary
tex D.8.2.3 tex
texdemo D.8.2.4 texdemo
texfactorize D.8.2.5 texfactorize
texmap D.8.2.6 texmap
texname D.8.2.7 texname
texobj D.8.2.8 texobj
texpoly D.8.2.9 texpoly
texproc D.8.2.10 texproc
texring D.8.2.11 texring
The online help system 3.1.3 The online help system
The SINGULAR language 3.5 The SINGULAR language
time limit on computations 5.1.42 groebner
timeFactorize D.2.2.21 timeFactorize
timer 5.3.8 timer
timer 5.3.10 rtimer
timer resolution, setting the 5.1.125 system
timeStd D.2.2.20 timeStd
Tjurina A.1 Milnor and Tjurina
Tjurina D.5.8.13 Tjurina
tjurina D.5.8.14 tjurina
Tjurina number D.4.6.4 deltaLoc
tkinfo 3.1.3 The online help system
tmatrix D.5.4.12 tmatrix
tolessvars D.7.1.9 tolessvars
Top 20 Emacs commands 3.2.6 Top 20 Emacs commands
Tor D.4.3.19 Tor
toric ideals C.6.1 Toric ideals
Toric ideals and integer programming C.6 Toric ideals and integer programming
toric.lib D.4.11 toric_lib
toric_ideal D.4.11.1 toric_ideal
toric_lib D.4.11 toric_lib
toric_std D.4.11.2 toric_std
trace 5.1.127 trace
TRACE 5.3.9 TRACE
TransferIdeal D.6.3.15 TransferIdeal
transpose 5.1.128 transpose
triagmatrix D.2.5.9 triagmatrix
triang.lib D.7.3 triang_lib
triangL D.7.3.1 triangL
triangLfak D.7.3.2 triangLfak
triangLf_solve D.7.2.9 triangLf_solve
triangL_solve D.7.2.11 triangL_solve
triangM D.7.3.3 triangM
triangMH D.7.3.4 triangMH
triangM_solve D.7.2.10 triangM_solve
triang_lib D.7.3 triang_lib
triang_solve D.7.2.12 triang_solve
Tricks and pitfalls 6 Tricks and pitfalls
triMNewton D.7.4.2 triMNewton
tty 5.1.125 system
type 5.1.129 type
Type casting 3.5.5 Type conversion and casting
Type conversion 3.5.5 Type conversion and casting
typeof 5.1.130 typeof
Typesetting of help strings 3.9.3 Typesetting of help strings
T_1 D.5.8.15 T_1
T_12 D.5.8.17 T_12
T_2 D.5.8.16 T_2

U
uname 5.1.125 system
unitmat D.3.1.14 unitmat
Unix installation E.3 Unix installation instructions
untyped definitions 4.1 def
UpperMonomials D.5.7.7 UpperMonomials
uressolve 5.1.131 uressolve
ures_solve D.7.2.3 ures_solve
usage, option 5.1.89 option
user interface, Emacs 3.2 Emacs user interface
U_D_O D.3.2.15 U_D_O

V
V-filtration D.5.4 gaussman_lib
V-filtration D.5.4.6 spectrum
V-filtration D.5.4.7 sppairs
V-filtration D.5.4.10 vfilt
V-filtration D.5.4.11 vwfilt
V-filtration D.5.4.12 tmatrix
V-filtration D.5.4.13 endvfilt
valvars D.7.1.14 valvars
vandermonde 5.1.132 vandermonde
var 5.1.133 var
varstr 5.1.134 varstr
vdim 5.1.135 vdim
vector 4.18 vector
vector declarations 4.18.1 vector declarations
vector expressions 4.18.2 vector expressions
vector operations 4.18.3 vector operations
vector related functions 4.18.4 vector related functions
versal D.5.2.1 versal
version 5.1.125 system
version in a library 3.8.2 Format of a library
vfilt D.5.4.10 vfilt
Visualization D.8 Visualization
voice 5.3.11 voice
vwfilt D.5.4.11 vwfilt

W
watchdog D.2.2.16 watchdog
wedge 5.1.136 wedge
Weierstrass D.9.1.4 Weierstrass
Weierstrass semigroup D.9.1 brnoeth_lib
weight 5.1.137 weight
weight filtration D.5.4 gaussman_lib
weight filtration D.5.4.7 sppairs
weight filtration D.5.4.11 vwfilt
weighted lexicographical ordering B.2.3 Global orderings
weighted reverse lexicographical ordering B.2.3 Global orderings
weightM, option 5.1.89 option
Westenberger, Eric 1 Preface
which D.2.2.17 which
while 5.2.11 while
Wichmann, Tim 1 Preface
Windows installation E.4 Windows installation instructions
Windows installation, components E.4 Windows installation instructions
wp, global ordering B.2.3 Global orderings
WP, global ordering B.2.3 Global orderings
write 5.1.138 write
writelist D.2.3.9 writelist
ws, local ordering B.2.4 Local orderings
Ws, local ordering B.2.4 Local orderings

X
xdvi D.8.2.13 xdvi
xinfo 3.1.3 The online help system
XINFO environment variable 3.1.3 The online help system
XTERM environment variable 3.1.3 The online help system

Z
zerodec D.4.7.14 zerodec
zeroMod D.4.4.5 zeroMod
zeroOpt D.4.4.14 zeroOpt
ZeroSet D.7.5.7 ZeroSet
zeroset.lib D.7.5 zeroset_lib
zeroset_lib D.7.5 zeroset_lib

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            User manual for Singular version 2-0-4, October 2002, generated by texinfo.