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ConnectionMatrices : Index
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baseFractionField
-- extracts the fraction field of the base polynomial ring of a Weyl algebra
baseFractionField(FractionField)
-- extracts the fraction field of the base polynomial ring of a Weyl algebra
baseFractionField(PolynomialRing)
-- extracts the fraction field of the base polynomial ring of a Weyl algebra
connectionForm
-- computes the connection matrix
connectionForm(Ideal)
-- computes the connection matrix
connectionForm(List)
-- computes the connection matrix
ConnectionMatrices
-- connection matrices and integrable systems from D-ideals
Cosmological correlator for the 2-site chain
gaugeMatrix
-- computes the base change over the field of rational functions
gaugeMatrix(Ideal,List)
-- computes the base change over the field of rational functions
gaugeMatrix(List,List)
-- computes the base change over the field of rational functions
gaugeTransform
-- computes the gauge transform of a system of connection matrices
gaugeTransform(Matrix,List)
-- computes the gauge transform of a system of connection matrices
gaugeTransform(Matrix,List,PolynomialRing)
-- computes the gauge transform of a system of connection matrices
Gauss' hypergeometric function
isEpsilonFactorized
-- checks whether a system of connection matrices is in $\epsilon$-factorized form
isEpsilonFactorized(List,RingElement)
-- checks whether a system of connection matrices is in $\epsilon$-factorized form
isEpsilonFactorized(Matrix,RingElement)
-- checks whether a system of connection matrices is in $\epsilon$-factorized form
isIntegrable
-- checks whether a list of matrices fulfills the integrability conditions
isIntegrable(List)
-- checks whether a list of matrices fulfills the integrability conditions
isIntegrable(PolynomialRing,List)
-- checks whether a list of matrices fulfills the integrability conditions
Massless one-loop triangle Feynman diagram
normalForm
-- computes the normal form within the rational Weyl algebra
normalForm(RingElement,List)
-- computes the normal form within the rational Weyl algebra
normalForm(RingElement,RingElement)
-- computes the normal form within the rational Weyl algebra
pfaffianSystem
-- computes the Pfaffian system of a $D_n$-ideal $I$ for a chosen basis
pfaffianSystem(Ideal)
-- computes the Pfaffian system of a $D_n$-ideal $I$ for a chosen basis
pfaffianSystem(Ideal,List)
-- computes the Pfaffian system of a $D_n$-ideal $I$ for a chosen basis
standardMonomials
-- computes the standard monomials for a $D_n$-ideal
standardMonomials(Ideal)
-- computes the standard monomials for a $D_n$-ideal
standardMonomials(List)
-- computes the standard monomials for a $D_n$-ideal