MonodromySolver : Index
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appendPoint -- append a point at the end of a PointArray
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appendPoint(PointArray,Point) -- append a point at the end of a PointArray
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appendPoints -- append a list of points at the end of a PointArray
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appendPoints(PointArray,List) -- append a list of points at the end of a PointArray
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AugmentEdgeCount
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AugmentGraphFunction
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AugmentNodeCount
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AugmentNumberOfRepeats
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BatchSize
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completeGraphAugment -- augment graph with the complete graph structure
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completeGraphInit -- initialize the topology of a complete graph
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computeMixedVolume -- compute mixed volume via PHCpack
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computeMixedVolume(List) -- compute mixed volume via PHCpack
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createSeedPair -- create initial seed for the homotopy continuation
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createSeedPair(System) -- create initial seed for the homotopy continuation
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createSeedPair(System,Point) -- create initial seed for the homotopy continuation
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dynamicFlowerSolve -- a naive dynamic strategy
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dynamicFlowerSolve(..., StoppingCriterion => ...)
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EdgesSaturated
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Equivalencer
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FilterCondition
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flowerGraphAugment -- augment graph with the flower graph structure
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flowerGraphInit -- solve via monodromy by using flower shaped graph
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getTrackTime -- elapsed time taken by solver
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getTrackTime(HomotopyGraph) -- elapsed time taken by solver
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GraphInitFunction
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HomotopyGraph
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homotopyGraph -- HomotopyGraph Constructor
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HomotopyNode
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indices(PointArray) -- returns indices of a PointArray
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length(PointArray) -- number of items stored in a PointArray
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makeBatchPotential -- batch sensitive potentialE
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member(Point,PointArray) -- test Point membership in a PointArray
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monodromySolve -- the main function of the MonodromySolver package
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monodromySolve(..., AugmentEdgeCount => ...)
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monodromySolve(..., AugmentGraphFunction => ...)
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monodromySolve(..., AugmentNodeCount => ...)
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monodromySolve(..., AugmentNumberOfRepeats => ...)
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monodromySolve(..., BatchSize => ...)
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monodromySolve(..., EdgesSaturated => ...)
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monodromySolve(..., GraphInitFunction => ...)
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monodromySolve(..., NumberOfEdges => ...)
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monodromySolve(..., NumberOfNodes => ...)
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monodromySolve(..., NumberOfRepeats => ...)
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monodromySolve(..., Potential => ...)
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monodromySolve(..., SelectEdgeAndDirection => ...)
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monodromySolve(..., StoppingCriterion => ...)
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monodromySolve(..., TargetSolutionCount => ...)
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monodromySolve(..., Verbose => ...)
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monodromySolve(System) -- the main function of the MonodromySolver package
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monodromySolve(System,Point,List) -- the main function of the MonodromySolver package
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MonodromySolver -- solve polynomial systems via homotopy continuation and monodromy
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MonodromySolverOptions
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net(PointArray) -- pretty printing
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NumberOfEdges
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NumberOfNodes
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NumberOfRepeats
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PartialSols
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PointArray -- a container for solutions
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pointArray -- constructor for PointArray
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Potential
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potentialE -- the "expected" potential of an edge
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potentialLowerBound -- the potential which is equal to the minimal number of new points guaranteed to be discovered
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Randomizer
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selectBestEdgeAndDirection -- selects edge and direction based on highest potential for obtaining new information
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SelectEdgeAndDirection
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selectRandomEdgeAndDirection -- random selection of edge and direction for homotopy
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solveFamily -- a solver for parametric families with simple output
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solveFamily(..., AugmentEdgeCount => ...)
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solveFamily(..., AugmentGraphFunction => ...)
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solveFamily(..., AugmentNodeCount => ...)
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solveFamily(..., AugmentNumberOfRepeats => ...)
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solveFamily(..., BatchSize => ...)
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solveFamily(..., EdgesSaturated => ...)
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solveFamily(..., Equivalencer => ...)
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solveFamily(..., FilterCondition => ...)
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solveFamily(..., GraphInitFunction => ...)
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solveFamily(..., NumberOfEdges => ...)
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solveFamily(..., NumberOfNodes => ...)
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solveFamily(..., NumberOfRepeats => ...)
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solveFamily(..., Potential => ...)
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solveFamily(..., Randomizer => ...)
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solveFamily(..., SelectEdgeAndDirection => ...)
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solveFamily(..., StoppingCriterion => ...)
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solveFamily(..., TargetSolutionCount => ...)
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solveFamily(..., Verbose => ...)
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solveFamily(Point,System) -- a solver for parametric families with simple output
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solveFamily(System) -- a solver for parametric families with simple output
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sparseMonodromySolve -- an "out of the box" polynomial system solver
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sparseMonodromySolve(..., AugmentEdgeCount => ...)
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sparseMonodromySolve(..., AugmentGraphFunction => ...)
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sparseMonodromySolve(..., AugmentNodeCount => ...)
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sparseMonodromySolve(..., AugmentNumberOfRepeats => ...)
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sparseMonodromySolve(..., BatchSize => ...)
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sparseMonodromySolve(..., EdgesSaturated => ...)
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sparseMonodromySolve(..., Equivalencer => ...)
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sparseMonodromySolve(..., FilterCondition => ...)
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sparseMonodromySolve(..., GraphInitFunction => ...)
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sparseMonodromySolve(..., NumberOfEdges => ...)
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sparseMonodromySolve(..., NumberOfNodes => ...)
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sparseMonodromySolve(..., NumberOfRepeats => ...)
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sparseMonodromySolve(..., Potential => ...)
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sparseMonodromySolve(..., Randomizer => ...)
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sparseMonodromySolve(..., SelectEdgeAndDirection => ...)
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sparseMonodromySolve(..., StoppingCriterion => ...)
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sparseMonodromySolve(..., TargetSolutionCount => ...)
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sparseMonodromySolve(..., Verbose => ...)
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sparseMonodromySolve(PolySystem) -- an "out of the box" polynomial system solver
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SpecializedSystem
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specializeSystem -- specialize parametric system at a point in the parameter space.
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specializeSystem(Point,Matrix) -- specialize parametric system at a point in the parameter space.
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specializeSystem(Point,PolySystem) -- specialize parametric system at a point in the parameter space.
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StoppingCriterion
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TargetSolutionCount