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Permutations : Index
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
ascendingRuns
-- computes the ascending runs of a permutation
ascendingRuns(Permutation)
-- computes the ascending runs of a permutation
ascents
-- computes the ascents of a permutation
ascents(Permutation)
-- computes the ascents of a permutation
avoidsPattern
-- whether a permutation avoids a pattern
avoidsPattern(Permutation,List)
-- whether a permutation avoids a pattern
avoidsPatterns
-- whether a permutation simultaneously avoids a list of patterns
avoidsPatterns(Permutation,List)
-- whether a permutation simultaneously avoids a list of patterns
cycleDecomposition
-- computes the decomposition of a permutation as a product of disjoint cycles
cycleDecomposition(Permutation)
-- computes the decomposition of a permutation as a product of disjoint cycles
cycleType
-- computes the cycle type of a permutation
cycleType(Permutation)
-- computes the cycle type of a permutation
descendingRuns
-- computes the descending runs of a permutation
descendingRuns(Permutation)
-- computes the descending runs of a permutation
descents
-- computes the descents of a permutation
descents(Permutation)
-- computes the descents of a permutation
exceedances
-- computes the exceedances of a permutation
exceedances(Permutation)
-- computes the exceedances of a permutation
extend
-- rewrites a permutation as a permution on more symbols
extend(Permutation,Permutation)
-- rewrites two permutations to be permutations on the same number of symbols
extend(Permutation,ZZ)
-- rewrites a permutation as a permution on more symbols
fixedPoints
-- computes the fixed points of a permutation
fixedPoints(Permutation)
-- computes the fixed points of a permutation
foataBijection
-- computes the image of a permutation under the Foata bijection
foataBijection(Permutation)
-- computes the image of a permutation under the Foata bijection
inverse(Permutation)
-- computes the inverse of a permutation
inversions
-- computes the inversions of a permutation
inversions(Permutation)
-- computes the inversions of a permutation
isCartwrightSturmfels
-- whether a permutation is Cartwright-Sturmfels
isCartwrightSturmfels(Permutation)
-- whether a permutation is Cartwright-Sturmfels
isCDG
-- whether a permutation is CDG.
isCDG(Permutation)
-- whether a permutation is CDG.
isDerangement
-- whether a permutation is a derangement
isDerangement(Permutation)
-- whether a permutation is a derangement
isEven
-- whether a permutation is even
isEven(Permutation)
-- whether a permutation is even
isOdd
-- whether a permutation is odd
isOdd(Permutation)
-- whether a permutation is odd
isVexillary
-- whether a permutation is vexillary
isVexillary(Permutation)
-- whether a permutation is vexillary
isWellDefined(Permutation)
-- checks if a list is a valid permutation
length(Permutation)
-- computes the length of a permutation
Matrix * Permutation
-- computes the action of a permutation on the columns of a matrix
Matrix ^ Permutation
-- computes the action of a permutation on a matrix
Matrix _ Permutation
-- computes the action of a permutation on the rows of a matrix
matrix(Permutation)
-- computes the matrix representation of a permutation
ord
-- computes the order of a permutation
ord(Permutation)
-- computes the order of a permutation
Permutation
-- the Permutation type
permutation
(missing documentation)
Permutation * Matrix
-- computes the action of a permutation on the rows of a matrix
Permutation * Permutation
-- computes the product of two permutations
Permutation * VisibleList
-- computes the action of a permutation on a list
Permutation == Permutation
-- whether two permutations are the same
Permutation ^ ZZ
-- computes the power of a permutation
Permutation _ List
-- selects a subset of the permutation when regarded as a list
Permutation _ Sequence
-- selects a subset of the permutation when regarded as a list
Permutation _ ZZ
-- selects an element from the permutation when regarded as a list
permutation(VisibleList)
-- the Permutation type
Permutations
-- a package which implements permutations
Permutations Guide
-- a detailed overview of permutations in Macaulay2
records
-- computes the saliances of a permutation
records(Permutation)
-- computes the saliances of a permutation
saliances
-- computes the saliances of a permutation
saliances(Permutation)
-- computes the saliances of a permutation
sign
-- computes the sign of a permutation
sign(Permutation)
-- computes the sign of a permutation
trim
-- rewrites a permutation in its smallest representation
trim(Permutation)
-- rewrites a permutation in its smallest representation
VisibleList _ Permutation
-- computes the action of a permutation on a list
Weak
(missing documentation)