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# NumericalImplicitization : 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

- 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