- AlgebraicSplines -- a package for working with splines on simplicial complexes, polytopal complexes, and graphs
- BaseRing -- compute matrix whose kernel is the module of $C^r$ splines on $\Delta$
- ByFacets -- compute matrix whose kernel is the module of $C^r$ splines on $\Delta$
- ByLinearForms -- compute matrix whose kernel is the module of $C^r$ splines on $\Delta$
- cellularComplex -- create the cellular chain complex whose homologies are the singular homologies of the complex $\Delta$ relative to its boundary
- cellularComplex(List) -- create the cellular chain complex whose homologies are the singular homologies of the complex $\Delta$ relative to its boundary
- cellularComplex(List,List) -- create the cellular chain complex whose homologies are the singular homologies of the complex $\Delta$ relative to its boundary
- courantFunctions -- returns the Courant functions of a simplicial complex
- courantFunctions(List,List) -- returns the Courant functions of a simplicial complex
- formsList -- list of powers of (affine) linear forms cutting out a specified list of codimension one faces.
- formsList(List,List,ZZ) -- list of powers of (affine) linear forms cutting out a specified list of codimension one faces.
- generalizedSplines -- the module of generalized splines associated to a simple graph with an edge labelling
- generalizedSplines(List,List) -- the module of generalized splines associated to a simple graph with an edge labelling
- GenVar -- given a sub-module of a free module (viewed as a ring with direct sum structure) which is also a sub-ring, creates a ring map whose image is the module with its ring structure
- hilbertComparisonTable -- a table to compare the values of the hilbertFunction and hilbertPolynomial of a graded module
- hilbertComparisonTable(ZZ,ZZ,Module) -- a table to compare the values of the hilbertFunction and hilbertPolynomial of a graded module
- Homogenize -- compute matrix whose kernel is the module of $C^r$ splines on $\Delta$
- idealsComplex -- creates the Billera-Schenck-Stillman chain complex of ideals
- idealsComplex(List,List,ZZ) -- creates the Billera-Schenck-Stillman chain complex of ideals
- IdempotentVar -- given a sub-module of a free module (viewed as a ring with direct sum structure) which is also a sub-ring, creates a ring map whose image is the module with its ring structure
- InputType -- compute matrix whose kernel is the module of $C^r$ splines on $\Delta$
- postulationNumber -- computes the largest degree at which the Hilbert function of the graded module M is not equal to the hilbertPolynomial
- postulationNumber(Module) -- computes the largest degree at which the Hilbert function of the graded module M is not equal to the hilbertPolynomial
- ringStructure -- given a sub-module of a free module (viewed as a ring with direct sum structure) which is also a sub-ring, creates a ring map whose image is the module with its ring structure
- ringStructure(Module) -- given a sub-module of a free module (viewed as a ring with direct sum structure) which is also a sub-ring, creates a ring map whose image is the module with its ring structure
- RingType -- the module of generalized splines associated to a simple graph with an edge labelling
- splineComplex -- creates the Billera-Schenck-Stillman chain complex
- splineComplex(List,List,ZZ) -- creates the Billera-Schenck-Stillman chain complex
- splineDimensionTable -- a table with the dimensions of the graded pieces of a graded module
- splineDimensionTable(ZZ,ZZ,List,ZZ) -- a table with the dimensions of the graded pieces of a graded module
- splineDimensionTable(ZZ,ZZ,Module) -- a table with the dimensions of the graded pieces of a graded module
- splineMatrix -- compute matrix whose kernel is the module of $C^r$ splines on $\Delta$
- splineMatrix(List,List,List,ZZ) -- compute matrix whose kernel is the module of $C^r$ splines on $\Delta$
- splineMatrix(List,List,ZZ) -- compute matrix whose kernel is the module of $C^r$ splines on $\Delta$
- splineMatrix(List,ZZ) -- compute matrix whose kernel is the module of $C^r$ splines on $\Delta$
- splineModule -- compute the module of all splines on partition of a space
- splineModule(List,List,List,ZZ) -- compute the module of all splines on partition of a space
- splineModule(List,List,ZZ) -- compute the module of all splines on partition of a space
- stanleyReisner -- Creates a ring map whose image is the ring of piecewise continuous polynomials on $\Delta$. If $\Delta$ is simplicial, the Stanley Reisner ring of $\Delta$ is returned.
- stanleyReisner(List,List) -- Creates a ring map whose image is the ring of piecewise continuous polynomials on $\Delta$. If $\Delta$ is simplicial, the Stanley Reisner ring of $\Delta$ is returned.
- stanleyReisnerPresentation -- creates a ring map whose image is the sub-ring of $C^0(\Delta)$ generated by $C^r(\Delta)$. If $\Delta$ is simplicial, $C^0(\Delta)$ is the Stanley Reisner ring of $\Delta$.
- stanleyReisnerPresentation(List,List,ZZ) -- creates a ring map whose image is the sub-ring of $C^0(\Delta)$ generated by $C^r(\Delta)$. If $\Delta$ is simplicial, $C^0(\Delta)$ is the Stanley Reisner ring of $\Delta$.
- Trim -- given a sub-module of a free module (viewed as a ring with direct sum structure) which is also a sub-ring, creates a ring map whose image is the module with its ring structure
- VariableGens -- given a sub-module of a free module (viewed as a ring with direct sum structure) which is also a sub-ring, creates a ring map whose image is the module with its ring structure
- VariableName -- compute matrix whose kernel is the module of $C^r$ splines on $\Delta$