NumericalImplicitization : Index

• AttemptZZ -- finds implicit equations in a fixed degree for the image of a variety
• ConvertToCone -- specifies whether to convert image to a cone
• DoRefinements -- computes a pseudo-witness set for the image of a variety
• DoTraceTest -- computes a pseudo-witness set for the image of a variety
• extractImageEquations -- finds implicit equations in a fixed degree for the image of a variety
• extractImageEquations(...,AttemptZZ=>...) -- finds implicit equations in a fixed degree for the image of a variety
• extractImageEquations(...,Threshold=>...) -- finds implicit equations in a fixed degree for the image of a variety
• extractImageEquations(List,Ideal,ZZ) -- finds implicit equations in a fixed degree for the image of a variety
• extractImageEquations(Matrix,Ideal,ZZ) -- finds implicit equations in a fixed degree for the image of a variety
• extractImageEquations(NumericalInterpolationTable) -- finds implicit equations in a fixed degree for the image of a variety
• extractImageEquations(RingMap,Ideal,ZZ) -- finds implicit equations in a fixed degree for the image of a variety
• generalCombinations -- the class of all pseudo-witness sets
• hilbertFunctionArgument -- the class of all NumericalInterpolationTables
• hilbertFunctionValue -- the class of all NumericalInterpolationTables
• imagePoints -- the class of all NumericalInterpolationTables
• imageSlice -- the class of all pseudo-witness sets
• Initial -- samples a real point on a variety
• interpolationBasis -- the class of all NumericalInterpolationTables
• interpolationMatrix -- the class of all NumericalInterpolationTables
• interpolationSVD -- the class of all NumericalInterpolationTables
• isCompletePseudoWitnessSet -- the class of all pseudo-witness sets
• isOnImage -- tests whether a point lies on the image of a variety
• isOnImage(...,MaxThreads=>...) -- specifies the maximum number of processor threads
• isOnImage(...,Software=>...) -- specify software for homotopy continuation
• isOnImage(...,Threshold=>...) -- computes a pseudo-witness set for the image of a variety
• isOnImage(...,Verbose=>...) -- display detailed output
• isOnImage(List,Ideal,Point) -- tests whether a point lies on the image of a variety
• isOnImage(Matrix,Ideal,Point) -- tests whether a point lies on the image of a variety
• isOnImage(PseudoWitnessSet,Point) -- tests whether a point lies on the image of a variety
• isOnImage(RingMap,Ideal,Point) -- tests whether a point lies on the image of a variety
• lineSearch -- samples a real point on a variety
• lineSearch(...,Iterations=>...) -- samples a real point on a variety
• lineSearch(...,Tolerance=>...) -- samples a real point on a variety
• lineSearch(Ideal,Matrix) -- samples a real point on a variety
• MaxAttempts -- computes a pseudo-witness set for the image of a variety
• MaxPoints -- computes a pseudo-witness set for the image of a variety
• MaxThreads -- specifies the maximum number of processor threads
• net(NumericalInterpolationTable) -- the class of all NumericalInterpolationTables
• net(PseudoWitnessSet) -- the class of all pseudo-witness sets
• numericalHilbertFunction -- computes the values of the Hilbert function for the image of a variety
• numericalHilbertFunction(...,ConvertToCone=>...) -- specifies whether to convert image to a cone
• numericalHilbertFunction(...,Precondition=>...) -- computes numerical kernel dimension of a matrix
• numericalHilbertFunction(...,Software=>...) -- specify software for homotopy continuation
• numericalHilbertFunction(...,SVDGap=>...) -- computes numerical kernel dimension of a matrix
• numericalHilbertFunction(...,UseSLP=>...) -- computes the values of the Hilbert function for the image of a variety
• numericalHilbertFunction(...,Verbose=>...) -- display detailed output
• numericalHilbertFunction(List,Ideal,List,ZZ) -- computes the values of the Hilbert function for the image of a variety
• numericalHilbertFunction(List,Ideal,ZZ) -- computes the values of the Hilbert function for the image of a variety
• numericalHilbertFunction(Matrix,Ideal,List,ZZ) -- computes the values of the Hilbert function for the image of a variety
• numericalHilbertFunction(Matrix,Ideal,ZZ) -- computes the values of the Hilbert function for the image of a variety
• numericalHilbertFunction(RingMap,Ideal,List,ZZ) -- computes the values of the Hilbert function for the image of a variety
• numericalHilbertFunction(RingMap,Ideal,ZZ) -- computes the values of the Hilbert function for the image of a variety
• numericalImageDegree -- computes the degree of the image of a variety
• numericalImageDegree(...,DoRefinements=>...) -- computes a pseudo-witness set for the image of a variety
• numericalImageDegree(...,DoTraceTest=>...) -- computes a pseudo-witness set for the image of a variety
• numericalImageDegree(...,MaxAttempts=>...) -- computes a pseudo-witness set for the image of a variety
• numericalImageDegree(...,MaxPoints=>...) -- computes a pseudo-witness set for the image of a variety
• numericalImageDegree(...,MaxThreads=>...) -- specifies the maximum number of processor threads
• numericalImageDegree(...,Repeats=>...) -- computes a pseudo-witness set for the image of a variety
• numericalImageDegree(...,Software=>...) -- specify software for homotopy continuation
• numericalImageDegree(...,Threshold=>...) -- computes a pseudo-witness set for the image of a variety
• numericalImageDegree(...,TraceThreshold=>...) -- computes a pseudo-witness set for the image of a variety
• numericalImageDegree(...,Verbose=>...) -- display detailed output
• numericalImageDegree(List,Ideal) -- computes the degree of the image of a variety
• numericalImageDegree(Matrix,Ideal) -- computes the degree of the image of a variety
• numericalImageDegree(PseudoWitnessSet) -- computes the degree of the image of a variety
• numericalImageDegree(RingMap,Ideal) -- computes the degree of the image of a variety
• numericalImageDim -- computes the dimension of the image of a variety
• numericalImageDim(...,Software=>...) -- specify software for homotopy continuation
• numericalImageDim(List,Ideal) -- computes the dimension of the image of a variety
• numericalImageDim(List,Ideal,Point) -- computes the dimension of the image of a variety
• numericalImageDim(Matrix,Ideal) -- computes the dimension of the image of a variety
• numericalImageDim(Matrix,Ideal,Point) -- computes the dimension of the image of a variety
• numericalImageDim(RingMap,Ideal) -- computes the dimension of the image of a variety
• numericalImageDim(RingMap,Ideal,Point) -- computes the dimension of the image of a variety
• numericalImageSample -- samples general points on the image of a variety
• numericalImageSample(...,Software=>...) -- specify software for homotopy continuation
• numericalImageSample(List,Ideal) -- samples general points on the image of a variety
• numericalImageSample(List,Ideal,List,ZZ) -- samples general points on the image of a variety
• numericalImageSample(List,Ideal,ZZ) -- samples general points on the image of a variety
• numericalImageSample(Matrix,Ideal) -- samples general points on the image of a variety
• numericalImageSample(Matrix,Ideal,List,ZZ) -- samples general points on the image of a variety
• numericalImageSample(Matrix,Ideal,ZZ) -- samples general points on the image of a variety
• numericalImageSample(RingMap,Ideal) -- samples general points on the image of a variety
• numericalImageSample(RingMap,Ideal,List,ZZ) -- samples general points on the image of a variety
• numericalImageSample(RingMap,Ideal,ZZ) -- samples general points on the image of a variety
• NumericalImplicitization -- implicitization using numerical algebraic geometry
• NumericalInterpolationTable -- the class of all NumericalInterpolationTables
• numericalNullity -- computes numerical kernel dimension of a matrix
• numericalNullity(...,Precondition=>...) -- computes numerical kernel dimension of a matrix
• numericalNullity(...,SVDGap=>...) -- computes numerical kernel dimension of a matrix
• numericalNullity(...,Verbose=>...) -- display detailed output
• numericalNullity(List,Boolean) -- computes numerical kernel dimension of a matrix
• numericalNullity(Matrix) -- computes numerical kernel dimension of a matrix
• numericalNullity(Matrix,Boolean) -- computes numerical kernel dimension of a matrix
• numericalSourceSample -- samples a general point on a variety
• numericalSourceSample(...,Software=>...) -- specify software for homotopy continuation
• numericalSourceSample(Ideal) -- samples a general point on a variety
• numericalSourceSample(Ideal,Point) -- samples a general point on a variety
• numericalSourceSample(Ideal,Thing,ZZ) -- samples a general point on a variety
• numericalSourceSample(Ideal,WitnessSet) -- samples a general point on a variety
• numericalSourceSample(Ideal,ZZ) -- samples a general point on a variety
• optimizeNelderMead -- samples a real point on a variety
• optimizeNelderMead(...,Initial=>...) -- samples a real point on a variety
• optimizeNelderMead(...,Iterations=>...) -- samples a real point on a variety
• optimizeNelderMead(...,Tolerance=>...) -- samples a real point on a variety
• optimizeNelderMead(FunctionClosure,List) -- samples a real point on a variety
• optimizeNelderMead(Ideal) -- samples a real point on a variety
• Precondition -- computes numerical kernel dimension of a matrix
• PseudoWitnessSet -- the class of all pseudo-witness sets
• pseudoWitnessSet -- computes a pseudo-witness set for the image of a variety
• pseudoWitnessSet(...,DoRefinements=>...) -- computes a pseudo-witness set for the image of a variety
• pseudoWitnessSet(...,DoTraceTest=>...) -- computes a pseudo-witness set for the image of a variety
• pseudoWitnessSet(...,MaxAttempts=>...) -- computes a pseudo-witness set for the image of a variety
• pseudoWitnessSet(...,MaxPoints=>...) -- computes a pseudo-witness set for the image of a variety
• pseudoWitnessSet(...,MaxThreads=>...) -- specifies the maximum number of processor threads
• pseudoWitnessSet(...,Repeats=>...) -- computes a pseudo-witness set for the image of a variety
• pseudoWitnessSet(...,Software=>...) -- specify software for homotopy continuation
• pseudoWitnessSet(...,Threshold=>...) -- computes a pseudo-witness set for the image of a variety
• pseudoWitnessSet(...,TraceThreshold=>...) -- computes a pseudo-witness set for the image of a variety
• pseudoWitnessSet(...,Verbose=>...) -- display detailed output
• pseudoWitnessSet(List,Ideal) -- computes a pseudo-witness set for the image of a variety
• pseudoWitnessSet(List,Ideal,List,Thing) -- computes a pseudo-witness set for the image of a variety
• pseudoWitnessSet(List,Ideal,Point) -- computes a pseudo-witness set for the image of a variety
• pseudoWitnessSet(Matrix,Ideal) -- computes a pseudo-witness set for the image of a variety
• pseudoWitnessSet(Matrix,Ideal,List,Thing) -- computes a pseudo-witness set for the image of a variety
• pseudoWitnessSet(Matrix,Ideal,Point) -- computes a pseudo-witness set for the image of a variety
• pseudoWitnessSet(RingMap,Ideal) -- computes a pseudo-witness set for the image of a variety
• pseudoWitnessSet(RingMap,Ideal,List,Thing) -- computes a pseudo-witness set for the image of a variety
• pseudoWitnessSet(RingMap,Ideal,Point) -- computes a pseudo-witness set for the image of a variety
• realPoint -- samples a real point on a variety
• realPoint(...,Initial=>...) -- samples a real point on a variety
• realPoint(...,Iterations=>...) -- samples a real point on a variety
• realPoint(...,Tolerance=>...) -- samples a real point on a variety
• realPoint(Ideal) -- samples a real point on a variety
• Repeats -- computes a pseudo-witness set for the image of a variety
• sourceEquations -- the class of all pseudo-witness sets
• sourceSlice -- the class of all pseudo-witness sets
• SVDGap -- computes numerical kernel dimension of a matrix
• TraceThreshold -- computes a pseudo-witness set for the image of a variety
• UseSLP -- computes the values of the Hilbert function for the image of a variety
• witnessPointPairs -- the class of all pseudo-witness sets