PhylogeneticTrees : Index
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buckets -- the equivalence classes of group elements of a Model
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buckets(Model) -- the equivalence classes of group elements of a Model
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CFNmodel -- the model corresponding to the Cavender-Farris-Neyman model or binary Jukes Cantor
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digraph(LeafTree,List) -- convert a LeafTree to a Digraph
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digraph(LeafTree,Set) -- convert a LeafTree to a Digraph
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edgeContract -- contract an edge of a tree
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edgeContract(LeafTree,List) -- contract an edge of a tree
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edgeContract(LeafTree,Set) -- contract an edge of a tree
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edgeCut -- break up a tree at an edge
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edgeCut(LeafTree,List,Thing) -- break up a tree at an edge
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edgeCut(LeafTree,Set,Thing) -- break up a tree at an edge
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edges(LeafTree) -- list the edges of a tree
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fourierToProbability -- map from Fourier coordinates to probability coordinates
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fourierToProbability(Ring,Ring,ZZ,Model) -- map from Fourier coordinates to probability coordinates
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graph(LeafTree) -- convert a LeafTree to Graph
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group -- the group of a Model
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group(Model) -- the group of a Model
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internalEdges -- list the internal edges of a tree
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internalEdges(LeafTree) -- list the internal edges of a tree
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internalVertices -- list the internal vertices of a tree
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internalVertices(LeafTree) -- list the internal vertices of a tree
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isIsomorphic -- check isomorphism of two tree
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isIsomorphic(LeafTree,LeafTree) -- check isomorphism of two tree
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JCmodel -- the model corresponding to the Jukes Cantor model
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joinIdeal -- compute the join of several ideals
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joinIdeal(...,DegreeLimit=>...) -- compute the join of several ideals
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joinIdeal(Ideal,Ideal) -- compute the join of several ideals
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joinIdeal(List) -- compute the join of several ideals
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K2Pmodel -- the model corresponding to the Kimura 2-parameter model
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K3Pmodel -- the model corresponding to the Kimura 3-parameter model
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labeledBinaryTrees -- enumerate all binary labeled trees
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labeledBinaryTrees(ZZ) -- enumerate all binary labeled trees
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labeledTrees -- enumerate all labeled trees
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labeledTrees(ZZ) -- enumerate all labeled trees
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leafColorings -- list the consistent colorings of a tree
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leafColorings(LeafTree,Model) -- list the consistent colorings of a tree
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leafColorings(ZZ,Model) -- list the consistent colorings of a tree
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LeafTree -- a tree described in terms of its leaves
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leafTree -- construct a LeafTree
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LeafTree == LeafTree -- a tree described in terms of its leaves
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leafTree(Graph) -- construct a LeafTree
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leafTree(List,List) -- construct a LeafTree
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leafTree(ZZ,List) -- construct a LeafTree
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leaves(LeafTree) -- list the leaves of a tree
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Model -- a group-based model
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model -- construct a Model
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model(List,List,List) -- construct a Model
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PhylogeneticTrees -- a package to compute phylogenetic invariants associated to group-based models
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phyloToric42 -- compute the invariants of a group-based phylogenetic model with 4ti2
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phyloToric42(...,QRing=>...) -- optional argument to specify Fourier coordinate ring
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phyloToric42(Graph,Model) -- compute the invariants of a group-based phylogenetic model with 4ti2
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phyloToric42(LeafTree,Model) -- compute the invariants of a group-based phylogenetic model with 4ti2
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phyloToric42(ZZ,List,Model) -- compute the invariants of a group-based phylogenetic model with 4ti2
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phyloToricAMatrix -- construct the design matrix of a group-based phylogenetic model
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phyloToricAMatrix(Graph,Model) -- construct the design matrix of a group-based phylogenetic model
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phyloToricAMatrix(LeafTree,Model) -- construct the design matrix of a group-based phylogenetic model
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phyloToricAMatrix(ZZ,List,Model) -- construct the design matrix of a group-based phylogenetic model
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phyloToricFP -- compute the invariants of a group-based phylogenetic model with toric fiber products
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phyloToricFP(...,QRing=>...) -- optional argument to specify Fourier coordinate ring
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phyloToricFP(LeafTree,Model) -- compute the invariants of a group-based phylogenetic model with toric fiber products
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phyloToricFP(ZZ,List,Model) -- compute the invariants of a group-based phylogenetic model with toric fiber products
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phyloToricLinears -- compute the linear invariants of a group-based phylogenetic model
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phyloToricLinears(...,QRing=>...) -- optional argument to specify Fourier coordinate ring
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phyloToricLinears(...,Random=>...) -- compute the linear invariants of a group-based phylogenetic model
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phyloToricLinears(LeafTree,Model) -- compute the linear invariants of a group-based phylogenetic model
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phyloToricLinears(ZZ,List,Model) -- compute the linear invariants of a group-based phylogenetic model
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phyloToricQuads -- compute the quadratic invariants of a group-based phylogenetic model
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phyloToricQuads(...,QRing=>...) -- optional argument to specify Fourier coordinate ring
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phyloToricQuads(...,Random=>...) -- compute the quadratic invariants of a group-based phylogenetic model
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phyloToricQuads(LeafTree,Model) -- compute the quadratic invariants of a group-based phylogenetic model
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phyloToricQuads(ZZ,List,Model) -- compute the quadratic invariants of a group-based phylogenetic model
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phyloToricRandom -- compute a random invariant of a group-based phylogenetic model
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phyloToricRandom(...,QRing=>...) -- optional argument to specify Fourier coordinate ring
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phyloToricRandom(LeafTree,Model) -- compute a random invariant of a group-based phylogenetic model
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phyloToricRandom(ZZ,List,Model) -- compute a random invariant of a group-based phylogenetic model
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pRing -- construct the ring of probability coordinates
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pRing(...,Variable=>...) -- construct the ring of probability coordinates
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pRing(LeafTree,Model) -- construct the ring of probability coordinates
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pRing(ZZ,Model) -- construct the ring of probability coordinates
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QRing -- optional argument to specify Fourier coordinate ring
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qRing -- construct the ring of Fourier coordinates
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qRing(...,Variable=>...) -- construct the ring of Fourier coordinates
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qRing(LeafTree,Model) -- construct the ring of Fourier coordinates
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qRing(ZZ,Model) -- construct the ring of Fourier coordinates
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rootedBinaryTrees -- enumerate all rooted binary trees
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rootedBinaryTrees(ZZ) -- enumerate all rooted binary trees
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rootedTrees -- enumerate all rooted trees
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rootedTrees(ZZ) -- enumerate all rooted trees
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secant -- compute the secant of an ideal
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secant(...,DegreeLimit=>...) -- compute the secant of an ideal
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secant(Ideal,ZZ) -- compute the secant of an ideal
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toricJoinDim -- dimension of a join of toric varieties
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toricJoinDim(List) -- dimension of a join of toric varieties
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toricJoinDim(Matrix,Matrix) -- dimension of a join of toric varieties
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toricSecantDim -- dimension of a secant of a toric variety
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toricSecantDim(Matrix,ZZ) -- dimension of a secant of a toric variety
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unlabeledTrees -- enumerate all unlabeled trees
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unlabeledTrees(ZZ) -- enumerate all unlabeled trees
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vertexCut -- break up a tree at a vertex
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vertexCut(LeafTree,List,Thing,Thing) -- break up a tree at a vertex
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vertexCut(LeafTree,Set,Thing,Thing) -- break up a tree at a vertex
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vertices(LeafTree) -- list the vertices of a tree