Skip to content
Skip to main navigation
Skip to first column
Skip to second column
Singular
Search
Download 4-2-0
Try Online
Online Manual
Graphical Interface
Report Bugs
Books
Teams
Join Us
Home
Online Manual
Index: B
Jump to:
!
"
#
$
%
&
(
)
*
+
-
.
/
:
;
<
=
>
?
[
\
]
^
_
`
{
|
}
~
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Z
Index Entry
Section
B
b-function
7.5.2 bfun_lib
babyGiant
D.12.3.14 babyGiant
Background
2.1 Background
backward
D.15.4.7 backward
bareiss
5.1.3 bareiss
base2str
D.2.2.2 base2str
basering
3.3 Rings and orderings
basering
4.4 def
Basic programming
A.1.1 Basic programming
Basic programming
A.1.1 Basic programming
basicinvariants
D.6.4.1 basicinvariants
baumslagGroup
7.10.2.6 baumslagGroup
baumslagSolitar
7.10.2.5 baumslagSolitar
BelongSemig
D.13.1.1 BelongSemig
belongSemigroup
D.4.4.2 belongSemigroup
BerlekampMassey
D.4.8.4 BerlekampMassey
Bern
D.5.2.36 Bern
bernstein
D.6.13.4 bernstein
Bernstein operator
7.5.4 dmod_lib
Bernstein-Sato ideal
7.5.6 dmodideal_lib
Bernstein-Sato polynomial
7.5.2 bfun_lib
Bernstein-Sato polynomial
7.5.4 dmod_lib
Bernstein-Sato polynomial
D.6.13 gmssing_lib
Bernstein-Sato polynomial
D.6.13.4 bernstein
Bernstein-Sato polynomial for variety
7.5.7 dmodvar_lib
bernsteinBM
7.5.4.0. bernsteinBM
bernsteinLift
7.5.4.0. bernsteinLift
BernsteinSatoIdeal
7.5.6.0. BernsteinSatoIdeal
bertini
D.5.6 numerAlg_lib
bertini
D.5.7 numerDecom_lib
bertini
D.8.7 recover_lib
bertini2Singular
D.5.7.4 bertini2Singular
betti
5.1.4 betti
Betti
D.15.11.16 Betti
betti (plural)
7.3.1 betti (plural)
Betti number
Betti numbers and regularity
BettiNumsH
D.15.5.3 BettiNumsH
BettiNumsN
D.15.5.11 BettiNumsN
BettiNumsQp
D.15.5.6 BettiNumsQp
BettiNumsS
D.15.5.9 BettiNumsS
Betty number
D.15.5 goettsche_lib
bFactor
7.5.5.0. bFactor
BFBoundsBudur
7.5.6.0. BFBoundsBudur
bfct
7.5.2.0. bfct
bfctAnn
7.5.2.0. bfctAnn
bfctBound
7.5.14.0. bfctBound
bfctIdeal
7.5.2.0. bfctIdeal
bfctOneGB
7.5.2.0. bfctOneGB
bfctSyz
7.5.2.0. bfctSyz
bfctVarAnn
7.5.7.0. bfctVarAnn
bfctVarIn
7.5.7.0. bfctVarIn
bfun.lib
7.5.2 bfun_lib
bfun_lib
7.5.2 bfun_lib
Bigatti-La Scala-Robbiano algorithm
C.6.2.5 The algorithm of Bigatti, La Scala and Robbiano
bigger
D.15.3.21 difformIsBigger
bigint
4.2 bigint
bigint declarations
4.2.1 bigint declarations
bigint expressions
4.2.2 bigint expressions
bigint operations
4.2.3 bigint operations
bigint related functions
4.2.4 bigint related functions
bigintmat
4.3 bigintmat
bigintmat declarations
4.3.1 bigintmat declarations
bigintmat expressions
4.3.2 bigintmat expressions
bigintmat operations
4.3.4 bigintmat operations
bigintmat type cast
4.3.3 bigintmat type cast
bigintToBinary
D.13.3.25 bigintToBinary
bimodules
7.5.1 bimodules_lib
Bimodules
7.9.4 Bimodules and syzygies and lifts
bimodules.lib
7.5.1 bimodules_lib
bimodules_lib
7.5.1 bimodules_lib
binary_add
D.12.3.37 binary_add
binaryToBigint
D.13.3.26 binaryToBigint
binomial
D.2.3.5 binomial
binomials2intmat
D.4.24.26 binomials2intmat
BINresol
D.5.10.1 BINresol
birational map, image, inverse.
D.5.9.2 invertBirMap
bistd
7.5.1.0. bistd
bisyzygies
7.5.1 bimodules_lib
Bisyzygy
7.9.4 Bimodules and syzygies and lifts
bitrinity
7.5.1.0. bitrinity
blackbox
4.27 pyobject
blackbox
4.28 reference and shared (experimental)
block
3.5.6 Flow control
block
5.2 Control structures
BlowingUp
D.6.10.1 BlowingUp
blowUp
D.5.13.1 blowUp
blowup0
D.4.6.1 blowup0
blowUp2
D.5.13.2 blowUp2
blowUpBO
D.5.13.8 blowUpBO
Blowupcenter
D.5.10.4 Blowupcenter
boolean
D.14.1.22 arrBoolean
boolean expressions
4.6.5 boolean expressions
boolean operations
4.6.6 boolean operations
boolean_constant
D.14.4.3 boolean_constant
boolean_ideal
D.14.4.7 boolean_ideal
boolean_poly
D.14.4.4 boolean_poly
boolean_poly_ring
D.14.4.2 boolean_poly_ring
boolean_set
D.14.4.8 boolean_set
boolean_std
D.14.4.1 boolean_std
border basis
D.4.31 rstandard_lib
borderBasis
D.4.31.1 borderBasis
BorelCheck
D.5.18.1 BorelCheck
Bott's formula
D.5.15 schubert_lib
boundaryLatticePoints
D.13.4.15 boundaryLatticePoints
boundBuFou
D.12.8.4 boundBuFou
boundDes
D.12.8.6 boundDes
boundposDes
D.12.8.5 boundposDes
bounds
D.8.8.1 bounds
bounds2
D.8.2.2 bounds2
boxSet
D.8.8.3 boxSet
bracket
5.1.153 system
bracket
6.3.5 Usage of brackets
bracket
7.3.2 bracket
braid
D.14.1.23 arrBraid
Branches of space curve singularities
A.4.7 Branches of space curve singularities
branchTo
4.17.3 procs with different argument types
break
5.2.2 break
break point
5.2.16 ~ (break point)
breakpoint
5.2.3 breakpoint
Briancon-Maisonobe algorithm
7.5.4 dmod_lib
Brieskorn lattice
D.6.13 gmssing_lib
Brieskorn lattice
D.6.13.1 gmsring
Brieskorn lattice
D.6.13.2 gmsnf
Brieskorn lattice
D.6.13.3 gmscoeffs
Brieskorn lattice
D.6.13.4 bernstein
Brieskorn lattice
D.6.13.5 monodromy
Brieskorn lattice
D.6.13.6 spectrum
Brieskorn lattice
D.6.13.7 sppairs
Brieskorn lattice
D.6.13.8 vfilt
Brieskorn lattice
D.6.13.9 vwfilt
Brieskorn lattice
D.6.13.10 tmatrix
Brieskorn lattice
D.6.13.11 endvfilt
Brieskorn lattice
D.6.14 gmspoly_lib
Brieskorn lattice
D.6.14.2 goodBasis
Brieskorn lattice
D.6.17 mondromy_lib
Brill-Noether algorithm
D.10.1 brnoeth_lib
BrillNoether
D.10.1.3 BrillNoether
brillnoether.lib
D.5.1 brillnoether_lib
brillnoether_lib
D.5.1 brillnoether_lib
brnoeth.lib
D.10.1 brnoeth_lib
brnoeth_lib
D.10.1 brnoeth_lib
browser, command line option
3.1.6 Command line options
browser, setting the
5.1.153 system
browsers
3.1.3 The online help system
browsers, setting the
5.1.153 system
BSidealFromAnn
7.5.6.0. BSidealFromAnn
bubblesort
D.12.2.2 bubblesort
Buchberger algorithm for toric ideals
C.6.3 The Buchberger algorithm for toric ideals
Budur-Mustata-Saito approach
7.5.7 dmodvar_lib
Building Singular
E.2.4 Building Singular
buildtree
D.2.9.8 buildtree
buildtree, buildtreetoMaple, CGS
D.2.9.10 finalcases
buildtree, Maple
D.2.9.9 buildtreetoMaple
buildtreetoMaple
D.2.9.9 buildtreetoMaple
busadj
D.3.2.7 busadj
bvar
D.14.4.15 bvar
Jump to:
!
"
#
$
%
&
(
)
*
+
-
.
/
:
;
<
=
>
?
[
\
]
^
_
`
{
|
}
~
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Z
Main
Home
News
Publications
How to cite Singular
Community
Forum
Trac
Events
Mailing List
Blog
System
New Libraries
Source Code
Open Tasks
Third-party software
Misc
Links
Contact
Impressum
Internal