Available versions of this document: latest release, release 3.5, nightly master

Reference documentation for older polymake versions: release 3.4, release 3.3, release 3.2

Index

applications

Index of all things

NameApplicationObject classCategory
_4ti2Circuits(Matrix A)matroidFunctionsCombinatorics
ABSTRACT_OBJECTIVEpolytopeproperty of LinearProgramno category
AccurateFloatcommonProperty_typesBasic Types
ActiongroupObjectsno category
action<action_type>(Any g, Core::Object O)groupFunctionsUtilities
action_from_generators(Array<Array<Int>> gens, Group action)groupFunctionsUtilities
action_inv<action_type>(Array<Int> p, Core::Object O)groupFunctionsUtilities
action_to_cyclic_notation(PermutationAction a)groupFunctionsUtilities
add_edge(Int tail_node, Int head_node)commonmethod of Graphno category
add_morphisms(Morphism f, Morphism g)tropicalFunctionsMorphisms
add_node()commonmethod of Graphno category
ADJACENCYgraphproperty of Graphno category
adjacency_matrix(Graph graph)commonFunctionsGraph Operations
adjacent_nodes(Int node)commonmethod of Graphno category
AFFINEfultonproperty of NormalToricVarietyAlgebraic Geometry
affine_chart(Int chart)tropicalmethod of CycleAffine and projective coordinates
affine_float_coords(Polytope P)polytopeFunctionsCoordinate conversions
AFFINE_HULLpolytopeproperty of PointConfigurationGeometry
AFFINE_HULLpolytopeproperty of PolytopeGeometry
AFFINE_HULLfanproperty of PolyhedralComplexGeometry
affine_linear_space<Addition>(Matrix<Rational> lineality, Vector<Rational> translate, Integer weight)tropicalFunctionsCreation functions for specific cycles
affine_representation(Int domain_chart, Int target_chart)tropicalmethod of MorphismAffine and projective coordinates
affine_transform(Cycle<Addition> C, Matrix<Rational> M, Vector<Rational> T)tropicalFunctionsBasic polyhedral operations
affine_transform(Cycle<Addition> C, Morphism<Addition> M)tropicalFunctionsBasic polyhedral operations
AffineLattice<Scalar>polytopeObjectsGeometry
after(Morphism g)tropicalmethod of MorphismMorphisms
ag23_matroid()matroidFunctionsProducing a matroid from scratch
ag32_matroid()matroidFunctionsProducing a matroid from scratch
ag32_prime_matroid()matroidFunctionsProducing a matroid from scratch
alexander_dual(SimplicialComplex complex)topazFunctionsProducing a new simplicial complex from others
all_edges(Int tail_node, Int head_node)commonmethod of Graphno category
all_families()tropicalmethod of LinesInCubicLists of lines
ALL_GROUP_ELEMENTSgroupproperty of ActionSymmetry
all_group_elements(PermutationAction a)groupFunctionsUtilities
all_group_elements<Scalar>(MatrixActionOnVectors<Scalar> action)groupFunctionsSymmetry
all_isolated()tropicalmethod of LinesInCubicLists of lines
all_permutations(Int n)commonFunctionsCombinatorics
all_rows_or_colscommonProperty_typesAlgebraic Types
all_spanningtrees(Graph G)graphFunctionsCombinatorics
all_steiner_points(Polytope P)polytopeFunctionsGeometry
all_subsets_of_k(Any c, Int k)commonFunctionsSet Operations
ALPHA_LATTICEfultonproperty of VersalComponentCombinatorics
alternating_group(Int d)groupFunctionsProducing a group
ALTSHULER_DETpolytopeproperty of ConeCombinatorics
ALTSHULER_DETfanproperty of SubdivisionOfVectorsno category
AMBIENT_DIM()polytopemethod of ConeGeometry
AMBIENT_DIM()polytopemethod of PointConfigurationGeometry
AMBIENT_DIM()polytopemethod of PolytopeGeometry
AMBIENT_DIM()fanmethod of PolyhedralFanGeometry
AMBIENT_DIM()fanmethod of PolyhedralComplexGeometry
AMBIENT_DIMfanmethod of SubdivisionOfPointsGeometry
ambient_lattice_normalization(Polytope p)polytopeFunctionsTransformations
AMPLEfultonproperty of TDivisorAlgebraic Geometry
anti_diag(Vector d)commonFunctionsLinear Algebra
anti_diag(Matrix m1, Matrix m2)commonFunctionsLinear Algebra
anti_diagonal(Int i)commonmethod of Matrixno category
application(String name)coreFunctionsBasic
apply(Core::Object o)coremethod of Core::RuleChainno category
applycommonmethod of Maxno category
applycommonmethod of Minno category
apply_rule(String pattern)coremethod of Core::Objectno category
ApproximateSet<Element>commonProperty_typesSet Types
apropos(String pattern)coreFunctionsInteractive
archimedean_solid(String s)polytopeFunctionsProducing regular polytopes and their generalizations
are_in_same_orbit(PermutationAction a, Vector v1, Vector v2)groupFunctionsOrbits
are_permuted(Array a, Array b)commonFunctionsCombinatorics
Array<Element>commonProperty_typesBasic Types
array_family_fixed_edge()tropicalmethod of LinesInCubicLists of lines
array_family_fixed_vertex()tropicalmethod of LinesInCubicLists of lines
array_family_moving_edge()tropicalmethod of LinesInCubicLists of lines
array_family_moving_vertex()tropicalmethod of LinesInCubicLists of lines
array_isolated_edge()tropicalmethod of LinesInCubicLists of lines
array_isolated_no_edge()tropicalmethod of LinesInCubicLists of lines
associahedron(Int d)polytopeFunctionsProducing a polytope from scratch
attach(String name, Any data, String constructor_args)coremethod of Core::Objectno category
AUTOMORPHISM_GROUPmatroidproperty of MatroidAdvanced properties
automorphism_group(Graph graph)groupFunctionsSymmetry
automorphism_group(IncidenceMatrix<NonSymmetric> m, Bool on_rows)groupFunctionsSymmetry
automorphisms(Graph graph)graphFunctionsComparing
automorphisms(IncidenceMatrix<NonSymmetric> m)graphFunctionsComparing
automorphisms(IncidenceMatrix<Symmetric> m)graphFunctionsComparing
average(ARRAY array)commonFunctionsUtilities
AVERAGE_DEGREEgraphproperty of Graphno category
back()commonmethod of Setno category
BALANCEpolytopeproperty of PolytopeCombinatorics
BALANCEDpolytopeproperty of PolytopeCombinatorics
BALANCED_FACEStropicalproperty of CycleWeights and lattices
BALLtopazproperty of SimplicialComplexTopology
ball(Int d)topazFunctionsProducing from scratch
ball_lifting_lp(GeometricSimplicialComplex c, Int facet_index, Rational conv_eps)polytopeFunctionsOptimization
BARYCENTERpolytopeproperty of PointConfigurationGeometry
barycenter(Matrix A)commonFunctionsLinear Algebra
barycentric_subdivision(Cone c)polytopeFunctionsTriangulations, subdivisions and volume
barycentric_subdivision(SimplicialComplex complex)topazFunctionsProducing a new simplicial complex from others
BASEgroupproperty of PermutationActionno category
BASEPOINT_FREEfultonproperty of TDivisorAlgebraic Geometry
BASESmatroidproperty of MatroidAxiom systems
bases_from_revlex_encoding(String encoding, Int r, Int n)matroidFunctionsOther
bases_to_revlex_encoding(Array<Set> bases, Int r, Int n)matroidFunctionsOther
BasicDecorationgraphProperty_typesCombinatorics
BASISpolytopeproperty of GroebnerBasisno category
BASISpolytopeproperty of AffineLatticeno category
BASISidealproperty of GroebnerCommutative algebra
basis(Matrix A)commonFunctionsLinear Algebra
basis_affine(Matrix A)commonFunctionsLinear Algebra
basis_cols(Matrix A)commonFunctionsLinear Algebra
basis_rows(Matrix A)commonFunctionsLinear Algebra
basis_rows_integer(Matrix A)commonFunctionsLinear Algebra
BB_VISUAL()tropicalmethod of CycleVisualization
before(Morphism g)tropicalmethod of MorphismMorphisms
BETA_INVARIANTmatroidproperty of MatroidAdvanced properties
betti_number()topazmethod of HomologyGroupno category
betti_numbers<Coeff>(ChainComplex C)topazFunctionsTopology
betti_numbers<Coeff>(SimplicialComplex S)topazFunctionsTopology
BICONNECTED_COMPONENTSgraphproperty of Graphno category
billera_lee(Vector<Integer> H)polytopeFunctionsProducing a polytope from other objects
BINARYmatroidproperty of MatroidAdvanced properties
binary_markov_graph(Array<Bool> observation)polytopeFunctionsProducing a polytope from scratch
binary_markov_graph(String observation)polytopeFunctionsProducing a polytope from scratch
BINARY_VECTORSmatroidproperty of MatroidAdvanced properties
binomial(Int n, Int k)commonFunctionsCombinatorics
BINOMIAL_GENERATORSfultonproperty of BinomialIdealno category
BinomialIdealfultonObjectsno category
BIPARTITE()topazmethod of SimplicialComplexCombinatorics
BIPARTITEgraphproperty of Graphno category
bipyramid(Polytope P, Scalar z, Scalar z_prime)polytopeFunctionsProducing a polytope from polytopes
birkhoff(Int n, Bool even)polytopeFunctionsProducing a polytope from scratch
bistellar_simplification(SimplicialComplex complex)topazFunctionsProducing a new simplicial complex from others
BitsetcommonProperty_typesSet Types
BITSET_ACTIONpolytopeproperty of ConeSymmetry
blending(Polytope P1, Int v1, Polytope P2, Int v2)polytopeFunctionsProducing a polytope from polytopes
BoolcommonProperty_typesBasic Types
BOTTOM_NODEgraphproperty of LatticeCombinatorics
bound(Polytope P)polytopeFunctionsTransformations
BOUNDARYpolytopeproperty of ConeCombinatorics
BOUNDARYpolytopeproperty of PointConfigurationCombinatorics
BOUNDARYtopazproperty of SimplicialComplexCombinatorics
BOUNDARY_LATTICE_POINTSpolytopeproperty of PolytopeLattice points in polytopes
boundary_matrix(Int d)topazmethod of SimplicialComplexCombinatorics
boundary_matrix(Int d)topazmethod of ChainComplexno category
boundary_matrix(Int d, Int t)topazmethod of Filtrationno category
BOUNDEDpolytopeproperty of PointConfigurationGeometry
BOUNDEDpolytopeproperty of PolytopeGeometry
BOUNDEDfanproperty of PolyhedralComplexGeometry
BOUNDED_COMPLEXpolytopeproperty of PolytopeUnbounded polyhedra
BOUNDED_DUAL_GRAPHpolytopemethod of PolytopeUnbounded polyhedra
BOUNDED_FACETS()polytopemethod of PolytopeUnbounded polyhedra
BOUNDED_GRAPHpolytopemethod of PolytopeUnbounded polyhedra
BOUNDED_HASSE_DIAGRAMpolytopemethod of PolytopeUnbounded polyhedra
BOUNDED_VERTICES()polytopemethod of PolytopeUnbounded polyhedra
bounding_box(Matrix m)commonFunctionsUtilities
bounding_box(Int chart)tropicalmethod of CycleVisualization
BOUNDING_BOXgraphproperty of GeometricGraphno category
bounding_box_facets(Scalar offset, Matrix V, Scalar surplus_k, Bool fulldim, Bool make_cube)polytopeFunctionsVisualization
bounding_box_facets(Int offset, Int chart)tropicalmethod of CycleVisualization
bounding_facets(Matrix H, Matrix V, Scalar offset, Scalar surplus_k, Bool transform, Bool fulldim, Bool return_nonredundant)polytopeFunctionsVisualization
bs2quotient(Polytope P, SimplicialComplex complex)topazFunctionsProducing a new simplicial complex from others
building_set(Array<Set> generators, Int n)fanFunctionsOther
CachedObjectPointer<>commonProperty_typesArtificial
CANONICALpolytopeproperty of PolytopeLattice points in cones
canonical_form(Graph g)graphFunctionsComparing
canonical_hash(Graph g, Int k)graphFunctionsComparing
canonical_hash(IncidenceMatrix M, Int k)graphFunctionsComparing
cap_product(CycleGroup<E> cocycles, CycleGroup<E> cycles)topazFunctionsTopology
cartesian_product(Cycle cycles)tropicalFunctionsBasic polyhedral operations
CARTIERfultonproperty of TDivisorAlgebraic Geometry
CARTIER_DATAfultonproperty of TDivisorCombinatorics
cast<Target>(Core::Object object)commonFunctionsData Conversion
catalan_solid(String s)polytopeFunctionsProducing regular polytopes and their generalizations
CATENARY_G_INVARIANTmatroidproperty of MatroidAdvanced properties
cayley_embedding(Polytope P_0, Polytope P_1, Scalar t_0, Scalar t_1)polytopeFunctionsProducing a polytope from polytopes
cayley_embedding(Array<Polytope> A)polytopeFunctionsProducing a polytope from polytopes
cayley_polytope(Array<Polytope> P_Array)polytopeFunctionsProducing a polytope from polytopes
CD_INDEX()polytopemethod of PolytopeCombinatorics
CD_INDEX_COEFFICIENTSpolytopeproperty of PolytopeCombinatorics
ceil(Rational a)commonFunctionsArithmetic
CelltopazProperty_typesTopology
cell(Int i)fanmethod of SubdivisionOfVectorsGeometry
cell(Int i)fanmethod of SubdivisionOfPointsGeometry
CELL_DECOMPOSITIONfanproperty of HyperplaneArrangementGeometry
cell_decomposition_brute_forcefanFunctionsGeometry
cell_from_subdivision(Polytope P, Int cell)polytopeFunctionsProducing a polytope from polytopes
CELL_SIGNATURESfanproperty of HyperplaneArrangementCombinatorics
cell_to_signaturefanmethod of HyperplaneArrangementCombinatorics
cells()topazmethod of Filtrationno category
cells_from_subdivision(Polytope<Scalar> P, Set<Int> cells)polytopeFunctionsProducing a polytope from polytopes
center(Polytope P)polytopeFunctionsTransformations
center_distance(Polytope p)polytopeFunctionsGeometry
CENTEREDpolytopeproperty of PointConfigurationGeometry
CENTEREDpolytopeproperty of PolytopeGeometry
CENTERED_ZONOTOPEpolytopeproperty of PolytopeGeometry
CENTRALLY_SYMMETRICpolytopeproperty of PolytopeGeometry
CENTROIDpolytopeproperty of PolytopeGeometry
cf2rational(Vector<Integer> v)fultonFunctionsContinued fractions
ChainComplex<MatrixType>topazProperty_typesTopology
CHARACTERgroupproperty of ActionSymmetry
CHARACTER_TABLEgroupproperty of GroupSymmetry
CHARACTERISTIC_POLYNOMIALgraphproperty of Graphno category
check_basis_exchange_axiom(Array<Set> B)matroidFunctionsOther
check_cycle_equality(Cycle<Addition> X, Cycle<Addition> Y, Bool check_weights)tropicalFunctionsBasic polyhedral operations
check_fan(Matrix rays, IncidenceMatrix cones)fanFunctionsConsistency check
check_fan_objects<Coord>(Array<Cone> cones)fanFunctionsConsistency check
check_flat_axiom(Array<Set> F)matroidFunctionsOther
check_hyperplane_axiom(Array<Set> H)matroidFunctionsOther
check_inc(Matrix points, Matrix hyperplanes, String sign, Bool verbose)polytopeFunctionsConsistency check
check_poly(IncidenceMatrix VIF)polytopeFunctionsConsistency check
check_transversality(Matroid M)matroidFunctionsAdvanced properties
check_valuated_basis_axioms(Array<Set<Int>> bases, Vector<TropicalNumber<Addition,Scalar>> valuation)matroidFunctionsOther
check_valuated_circuit_axioms(Matrix<TropicalNumber<Addition,Scalar>> M)matroidFunctionsOther
CHIROTOPEpolytopeproperty of PolytopeMatroid properties
CHIROTOPEpolytopeproperty of VectorConfigurationMatroid properties
chirotope(Polytope P)polytopeFunctionsTriangulations, subdivisions and volume
chirotope(VectorConfiguration P)polytopeFunctionsTriangulations, subdivisions and volume
chirotope(Polytope P)polytopeFunctionsTriangulations, subdivisions and volume
chirotope(VectorConfiguration P)polytopeFunctionsTriangulations, subdivisions and volume
circuit_completions(Matrix L, Matrix R)polytopeFunctionsGeometry
CIRCUITSmatroidproperty of MatroidAxiom systems
CIRCUITSpolytopeproperty of PolytopeMatroid properties
CIRCUITSpolytopeproperty of VectorConfigurationMatroid properties
circuits2matrix(Set<Pair<Set<Int>,Set<Int>>> co)polytopeFunctionsCombinatorics
clear(Int r, Int c)commonmethod of Matrixno category
clip_graph(Graph G, Matrix V, Matrix BB)graphFunctionsVisualization
clique_complex(Graph graph)topazFunctionsProducing a simplicial complex from other objects
CLOSED_PSEUDO_MANIFOLDtopazproperty of SimplicialComplexTopology
coarse_covectors(Matrix<TropicalNumber<Addition,Scalar>> points, Matrix<TropicalNumber<Addition,Scalar>> generators)tropicalFunctionsTropical covector decomposition
coarse_covectors_of_scalar_vertices(Matrix<Scalar> points, Matrix<TropicalNumber<Addition,Scalar>> generators)tropicalFunctionsTropical covector decomposition
coarsen(Cycle<Addition> complex, Bool testFan)tropicalFunctionsBasic polyhedral operations
cocircuit_equation_of_ridge(Cone C, Set rho)polytopeFunctionsCombinatorics
COCIRCUIT_EQUATIONSpolytopeproperty of QuotientSpaceCombinatorics
COCIRCUIT_EQUATIONSpolytopeproperty of ConeCombinatorics
COCIRCUIT_EQUATIONSpolytopeproperty of PointConfigurationCombinatorics
cocircuit_equations(Cone C, Array<Set> interior_ridge_simplices, Array<Set> interior_simplices)polytopeFunctionsCombinatorics
cocircuit_equations_support_reps(Matrix<Scalar> points, Array<Array<Int>> gens, Array<SetType> rirs, Array<SetType> rmis)polytopeFunctionsSymmetry
COCIRCUITSmatroidmethod of MatroidAxiom systems
COCIRCUITSpolytopeproperty of PolytopeMatroid properties
COCIRCUITSpolytopeproperty of VectorConfigurationMatroid properties
COCUBICALpolytopeproperty of PolytopeCombinatorics
COCUBICALITYpolytopeproperty of PolytopeCombinatorics
COCYCLEStopazproperty of SimplicialComplexTopology
codegree<Scalar>(Cone P)polytopeFunctionsCombinatorics
codegree<Scalar>(PointConfiguration P)polytopeFunctionsCombinatorics
CODIMENSION_ONE_POLYTOPEStropicalproperty of CycleCombinatorics
coeff()topazmethod of CycleGroupno category
COEFFICIENTSfultonproperty of TDivisorCombinatorics
COEFFICIENTStropicalproperty of Hypersurfaceno category
coefficients_as_vector()commonmethod of Polynomialno category
coefficients_as_vector()commonmethod of UniPolynomialno category
COEFFStropicalproperty of RationalCurveCombinatorics
coherency_index(Polytope p1, Polytope p2, Matrix points, Vector w1, Vector w2)polytopeFunctionsTriangulations, subdivisions and volume
coherency_index(Matrix points, Vector w1, Vector w2)polytopeFunctionsTriangulations, subdivisions and volume
coherency_index(Polytope p1, Polytope p2)polytopeFunctionsTriangulations, subdivisions and volume
COHOMOLOGYtopazproperty of SimplicialComplexTopology
col(Int i)commonmethod of IncidenceMatrixno category
col(Int i)commonmethod of Matrixno category
col_to_row_action(Matrix M, Array of)groupFunctionsSymmetry
collect(Element e)commonmethod of Setno category
COLOOPSmatroidmethod of MatroidAxiom systems
ColorcommonProperty_typesVisualization
colored_ball_from_colored_sphere(SimplicialComplex complex)topazFunctionsProducing a new simplicial complex from others
COLORINGtopazproperty of SimplicialComplexno category
COLORINGtopazproperty of SimplicialComplexCombinatorics
cols()commonmethod of IncidenceMatrixno category
cols()commonmethod of Matrixno category
colscommonFunctionsData Conversion
cols(Matrix A)commonFunctionsData Conversion
COMBINATORIAL_DIMpolytopeproperty of ConeCombinatorics
COMBINATORIAL_DIMfanproperty of PolyhedralFanCombinatorics
combinatorial_symmetries(Polytope p)polytopeFunctionsSymmetry
combinatorial_symmetries(PolyhedralFan f)fanFunctionsSymmetry
combinatorial_symmetrized_cocircuit_equations(Cone P, Set<Int> comps)polytopeFunctionsSymmetry
combinatorial_symmetrized_cocircuit_equations(Cone P, Array<SetType> rirs, Array<SetType> rmis, Set<Int> comps)polytopeFunctionsSymmetry
common_refinement(Matrix points, IncidenceMatrix sub1, IncidenceMatrix sub2, Int dim)polytopeFunctionsTriangulations, subdivisions and volume
common_refinement(Polytope p1, Polytope p2)polytopeFunctionsTriangulations, subdivisions and volume
common_refinement(PolyhedralFan f1, PolyhedralFan f2)fanFunctionsProducing a fan
companion()commonmethod of HermiteNormalFormno category
complement_graph(Graph G)graphFunctionsCombinatorics
COMPLETEfanproperty of PolyhedralFanCombinatorics
complete(Int n)graphFunctionsProducing a graph
complete_bipartite(Int k, Int l)graphFunctionsProducing a graph
complex_projective_plane()topazFunctionsProducing from scratch
COMPLEXITYpolytopeproperty of PolytopeCombinatorics
compose(Visual::Object vis_obj …)commonFunctionsVisualization
compose(Visual::Container vis_container, Visual::Object vis_obj …)commonFunctionsVisualization
COMPRESSEDpolytopeproperty of PolytopeLattice points in cones
concat_rows(Matrix A)commonFunctionsData Conversion
Cone<Scalar>polytopeObjectsno category
cone(SimplicialComplex complex, Int k)topazFunctionsProducing a new simplicial complex from others
cone(Int i)fanmethod of PolyhedralFanCombinatorics
CONE_AMBIENT_DIMpolytopeproperty of ConeGeometry
CONE_AMBIENT_DIMpolytopeproperty of PolytopeGeometry
CONE_DIMpolytopeproperty of ConeGeometry
CONE_DIMpolytopeproperty of PolytopeGeometry
cone_of_tubing(Graph G, Graph T)fanFunctionsOther
cone_representative(Int i)fanmethod of PolyhedralFanSymmetry
CONESfanproperty of PolyhedralFanCombinatorics
cones_action(PolyhedralFan f, Int k)fanFunctionsSymmetry
CONES_COMBINATORIAL_DIMSfanproperty of PolyhedralFanCombinatorics
CONES_DIMS()fanmethod of PolyhedralFanCombinatorics
CONES_ORBIT_SIZESfanproperty of PolyhedralFanSymmetry
CONES_REPSfanproperty of PolyhedralFanSymmetry
congruent(Polytope P1, Polytope P2)polytopeFunctionsComparing
conjugacy_class<Element>(Action action, Element e)groupFunctionsSymmetry
conjugacy_class<Scalar>(MatrixActionOnVectors<Scalar> action, Matrix<Scalar> e)groupFunctionsSymmetry
CONJUGACY_CLASS_REPRESENTATIVESgroupproperty of ActionSymmetry
CONJUGACY_CLASS_SIZESgroupproperty of GroupSymmetry
CONJUGACY_CLASSESgroupproperty of ActionSymmetry
CONNECTEDmatroidproperty of MatroidAdvanced properties
CONNECTED()topazmethod of SimplicialComplexTopology
CONNECTEDgraphproperty of Graphno category
CONNECTED_COMPONENTSmatroidproperty of MatroidAdvanced properties
CONNECTED_COMPONENTS()topazmethod of SimplicialComplexCombinatorics
CONNECTED_COMPONENTSgraphproperty of Graphno category
connected_sum(SimplicialComplex complex1, SimplicialComplex complex2, Int f1, Int f2)topazFunctionsProducing a new simplicial complex from others
CONNECTIVITY()polytopemethod of ConeCombinatorics
CONNECTIVITY()topazmethod of SimplicialComplexCombinatorics
CONNECTIVITYgraphproperty of Graphno category
connectivity(Graph<Undirected> graph)graphFunctionsCombinatorics
constant_coefficient()commonmethod of Polynomialno category
constant_coefficient()commonmethod of UniPolynomialno category
CONSTRUCTION()polytopemethod of Visual::SchlegelDiagramno category
ContainercommonProperty_typesArtificial
containing_normal_cone(Cone P, Vector q)polytopeFunctionsGeometry
containing_outer_cone(Polytope P, Vector q)polytopeFunctionsGeometry
contains(Vector<Scalar> v)polytopemethod of ConeGeometry
contains(Element e)commonmethod of Setno category
contains_in_interior(Vector<Scalar> v)polytopemethod of ConeGeometry
contains_monomial(String s)idealmethod of Idealno category
contains_point(Cycle A, Vector<Rational> point)tropicalFunctionsBasic polyhedral operations
CONTINUED_FRACTIONfultonproperty of CyclicQuotientInput properties
CONTINUED_FRACTIONfultonproperty of VersalComponentCombinatorics
contract_edge(Int node1, Int node2)commonmethod of Graphno category
contraction(Matroid m, Set<Int> S)matroidFunctionsProducing a matroid from matroids
contraction(Matroid m, Int x)matroidFunctionsProducing a matroid from matroids
contraction(VectorConfiguration C, Int v)polytopeFunctionsCombinatorics
conv(Array<Polytope> P_Array)polytopeFunctionsProducing a polytope from polytopes
convert_to<Coord>(Cone c)polytopeFunctionsCoordinate conversions
convert_to<Coord>(Polytope P)polytopeFunctionsCoordinate conversions
convert_to<Target>(Scalar s)commonFunctionsData Conversion
convert_to<Target>(Vector v)commonFunctionsData Conversion
convert_to<Target>(Matrix m)commonFunctionsData Conversion
convert_to<Target>(Polynomial m)commonFunctionsData Conversion
convert_to<Target>(UniPolynomial m)commonFunctionsData Conversion
CONVEXpolytopeproperty of PointConfigurationGeometry
CONVEXfanproperty of SubdivisionOfVectorsGeometry
CONVEX_HULLpolytopeproperty of PointConfigurationGeometry
COORDINATE_ACTIONpolytopeproperty of PolytopeSymmetry
COORDINATE_ACTIONfanproperty of PolyhedralComplexSymmetry
COORDINATE_LABELSpolytopeproperty of ConeVisualization
COORDINATEStopazproperty of GeometricSimplicialComplexno category
coordinatescommonmethod of Pluckerno category
COORDINATESgraphproperty of GeometricGraphno category
Core::ObjectcoreObjectsno category
Core::RuleChaincoreObjectsno category
core_point_algo(Polytope p, Rational optLPvalue)polytopeFunctionsOptimization
core_point_algo_Rote(Polytope p, Rational optLPvalue)polytopeFunctionsOptimization
COTRANSVERSALmatroidmethod of MatroidAdvanced properties
count_mn_cones(Int n, Int k)tropicalFunctionsModuli of rational curves
count_mn_rays(Int n)tropicalFunctionsModuli of rational curves
CovectorDecorationtropicalProperty_typesno category
CovectorLatticetropicalObjectsCombinatorics
COVECTORStropicalproperty of CovectorLatticeCombinatorics
covectors(Matrix<TropicalNumber<Addition,Scalar>> points, Matrix<TropicalNumber<Addition,Scalar>> generators)tropicalFunctionsTropical covector decomposition
covectors_of_scalar_vertices(Matrix<Scalar> points, Matrix<TropicalNumber<Addition,Scalar>> generators)tropicalFunctionsTropical covector decomposition
covering_relations(Graph<Directed> P)topazFunctionsProducing a new simplicial complex from others
coxeter_group(String type)polytopeFunctionsProducing other objects
CP_INDICESpolytopeproperty of Polytopeno category
CQS_MATRIXfultonproperty of VersalComponentCombinatorics
cramer(Matrix A, Vector b)commonFunctionsLinear Algebra
cramer(Matrix<TropicalNumber> matrix)tropicalFunctionsTropical operations
CRITICAL_FACE_VECTORtopazproperty of MorseMatchingno category
CRITICAL_FACEStopazproperty of MorseMatchingno category
cross<Scalar>(Int d, Scalar scale)polytopeFunctionsProducing regular polytopes and their generalizations
cross_variety<Addition>(Int n, Int k, Rational h, Integer weight)tropicalFunctionsCreation functions for specific cycles
crosscut_complex(Polytope p)polytopeFunctionsProducing other objects
CRUST_GRAPHpolytopeproperty of VoronoiPolyhedronno category
CS_PERMUTATIONpolytopeproperty of PolytopeGeometry
cs_quotient(Polytope P)polytopeFunctionsQuotient spaces
cube<Scalar>(Int d, Scalar x_up, Scalar x_low)polytopeFunctionsProducing regular polytopes and their generalizations
cube_complex(Array<Int> x)topazFunctionsProducing from scratch
cube_group(Int d)groupFunctionsProducing a group
CUBICtropicalproperty of LinesInCubicDefining properties
CUBICALpolytopeproperty of PolytopeCombinatorics
CUBICAL_H_VECTORpolytopeproperty of PolytopeCombinatorics
CUBICALITYpolytopeproperty of PolytopeCombinatorics
cuboctahedron()polytopeFunctionsProducing regular polytopes and their generalizations
CURVE_EDGE_LENGTHS()tropicalmethod of CycleWeights and lattices
cutting_functions(Cycle<Addition> F, Vector<Integer> weight_aim)tropicalFunctionsInverse problems
Cycle<Addition>tropicalObjectsno category
cycle_graph(Int n)graphFunctionsProducing a graph
CycleGroup<Scalar>topazProperty_typesTopology
CYCLEStopazproperty of SimplicialComplexTopology
cyclic(Int d, Int n)polytopeFunctionsProducing a polytope from scratch
cyclic<Addition>(Int d, Int n)tropicalFunctionsProducing a tropical polytope
cyclic_caratheodory(Int d, Int n)polytopeFunctionsProducing a polytope from scratch
cyclic_group(Int d)groupFunctionsProducing a group
CyclicQuotientfultonObjectsno category
cylinder_2()polytopeFunctionsQuotient spaces
davis_manifold()polytopeFunctionsQuotient spaces
db_aggregatecommonFunctionsno category
db_count(HASH query)commonFunctionsDatabase
db_cursor(HASH query)commonFunctionsDatabase
db_get_list_col_for_db()commonFunctionsDatabase
db_get_list_db()commonFunctionsDatabase
db_get_list_db_col()commonFunctionsDatabase
db_get_type_informationcommonFunctionsno category
db_ids(HASH query)commonFunctionsDatabase
db_info()commonFunctionsDatabase
db_insert(Core::Object obj)commonFunctionsDatabase Write Access
db_metadata(Core::Object p)commonFunctionsDatabase
db_print_metadata(Core::Object p)commonFunctionsDatabase
db_print_searchable_fieldscommonFunctionsno category
db_query(HASH query)commonFunctionsDatabase
db_remove(String id)commonFunctionsDatabase Write Access
db_searchable_fields(String db, String collection)commonFunctionsDatabase
db_set_type_information()commonFunctionsDatabase Admin
db_write_collection_info()commonFunctionsDatabase
db_write_db_info(String db)commonFunctionsDatabase
DBCursorcommonProperty_typesDatabase
DCEL_DATAtopazproperty of HyperbolicSurfaceno category
decomposition_polytope(Cycle A)tropicalFunctionsWeight space
DECORATIONgraphproperty of LatticeCombinatorics
deg()commonmethod of Polynomialno category
deg()commonmethod of UniPolynomialno category
DEGENERATEfultonproperty of NormalToricVarietyAlgebraic Geometry
DEGREEgroupproperty of ActionSymmetry
degree<Scalar>(PointConfiguration P)polytopeFunctionsCombinatorics
degree(Int node)commonmethod of Graphno category
DEGREEtropicalproperty of CycleIntersection theory
degree(Cycle A)tropicalFunctionsIntersection theory
DEGREE_ONE_GENERATORSpolytopeproperty of ConeLattice points in cones
DEGREE_SEQUENCEgraphproperty of Graphno category
DELAUNAY_DIAGRAMpolytopeproperty of VoronoiPolyhedronno category
DELAUNAY_GRAPHpolytopeproperty of VoronoiPolyhedronno category
DELAUNAY_TRIANGULATIONpolytopeproperty of VoronoiPolyhedronno category
delaunay_triangulation(VoronoiPolyhedron V)polytopeFunctionsTriangulations, subdivisions and volume
delete_all_edges(Int tail_node, Int head_node)commonmethod of Graphno category
delete_edgecommonmethod of Graphno category
delete_node(Int node)commonmethod of Graphno category
deletion(Matroid m, Set<Int> S)matroidFunctionsProducing a matroid from matroids
deletion(Matroid m, Int x)matroidFunctionsProducing a matroid from matroids
deletion(VectorConfiguration C, Int v)polytopeFunctionsCombinatorics
deletion(SimplicialComplex complex, Set<Int> face)topazFunctionsProducing a new simplicial complex from others
delocalize()tropicalmethod of CycleLocal computations
delpezzo(Int d, Scalar scale)polytopeFunctionsProducing a polytope from scratch
denominator(Rational a)commonFunctionsArithmetic
denominator(RationalFunction f)commonFunctionsArithmetic
denominator(PuiseuxFraction f)commonFunctionsArithmetic
DENOMINATORtropicalproperty of RationalFunctionDefining morphisms and functions
dense(Vector v)commonFunctionsData Conversion
dense(Matrix m)commonFunctionsData Conversion
dense<Element>(SparseVector<Element> v)commonFunctionsData Conversion
dense<Element>(SparseMatrix<Element> m)commonFunctionsData Conversion
dense(IncidenceMatrix m)commonFunctionsData Conversion
dense(Set s, Int dim)commonFunctionsData Conversion
DEPTHidealproperty of IdealCommutative algebra
det(Matrix<Scalar> A)commonFunctionsLinear Algebra
diag(Vector d)commonFunctionsLinear Algebra
diag(Matrix m1, Matrix m2)commonFunctionsLinear Algebra
diagonal(Int i)commonmethod of Matrixno category
DIAMETER()polytopemethod of ConeBackward compatibility
DIAMETERgraphproperty of Graphno category
dihedral_angle(Vector<Scalar> H1, Vector<Scalar> H2)polytopeFunctionsGeometry
DIHEDRAL_ANGLESpolytopeproperty of PolytopeGeometry
dihedral_group(Int o)groupFunctionsProducing a group
DIMpolytopeproperty of QuotientSpaceCombinatorics
dim()polytopemethod of ConeCombinatorics
DIM()polytopemethod of ConeGeometry
DIM()polytopemethod of PointConfigurationGeometry
DIM()polytopemethod of PolytopeGeometry
DIMtopazproperty of SimplicialComplexCombinatorics
dimtopazmethod of SimplicialComplexno category
dim()topazmethod of ChainComplexno category
dim()topazmethod of Filtrationno category
DIMidealproperty of IdealCommutative algebra
dim()fanmethod of PolyhedralFanCombinatorics
DIM()fanmethod of PolyhedralFanGeometry
DIM()fanmethod of PolyhedralComplexGeometry
DIMfanmethod of SubdivisionOfPointsGeometry
dim()commonmethod of Graphno category
dim()commonmethod of Vectorno category
dimtropicalmethod of CovectorLatticeCombinatorics
DIMENSIONfultonproperty of VersalComponentCombinatorics
DIMSgraphproperty of LatticeCombinatorics
direct_sum(Matroid m_1, Matroid m_2)matroidFunctionsProducing a matroid from matroids
DirectedcommonProperty_typesArtificial
DIRECTED_BOUNDED_GRAPHpolytopeproperty of LinearProgramno category
DIRECTED_GRAPH(LinearProgram lp)polytopemethod of Visual::SchlegelDiagramno category
DIRECTED_GRAPH(LinearProgram lp)polytopemethod of Visual::Polytopeno category
DIRECTED_GRAPH(LinearProgram lp)polytopemethod of Visual::PolytopeGraphno category
DIRECTED_GRAPHpolytopeproperty of LinearProgramno category
DirectedMulticommonProperty_typesArtificial
disable_rules(String pattern)coremethod of Core::Objectno category
disable_rules(String pattern)coreFunctionsBasic
disjoint_union(SimplicialComplex complex1, SimplicialComplex complex2)topazFunctionsProducing a new simplicial complex from others
distance_matrix(Matrix S, CODE d)commonFunctionsUtilities
Div<Scalar>commonProperty_typesArithmetic
div(Scalar a, Scalar b)commonFunctionsArithmetic
div_exact(Int a)commonmethod of Matrixno category
div_exact(Int a)commonmethod of Vectorno category
div_exact(Integer a, Integer b)commonFunctionsArithmetic
divisionidealmethod of Groebnerno category
DIVISORfultonproperty of NormalToricVarietyAlgebraic Geometry
divisor(Cycle C, RationalFunction F)tropicalFunctionsDivisor computation
divisor_nr(Cycle C, RationalFunction F)tropicalFunctionsDivisor computation
dodecahedron()polytopeFunctionsProducing regular polytopes and their generalizations
DOMAINtropicalproperty of MorphismDefining morphisms and functions
DOMAINtropicalproperty of RationalFunctionDefining morphisms and functions
DOMAIN_NAMEgroupproperty of ActionSymmetry
DOMEtropicalproperty of Hypersurfaceno category
DOMEtropicalproperty of PolytopeGeometry
dont_savecoremethod of Core::Objectno category
DUALmatroidproperty of MatroidDuality
dual(Matroid m)matroidFunctionsProducing a matroid from matroids
dual(ValuatedMatroid<Addition,Scalar> M)matroidFunctionsProducing a matroid from matroids
dual_addition_version(Polytope<Addition,Scalar> polytope, Bool strong_conversion)tropicalFunctionsConversion of tropical addition
dual_addition_version(TropicalNumber<Addition,Scalar> number, Bool strong_conversion)tropicalFunctionsConversion of tropical addition
dual_addition_version(Vector<TropicalNumber<Addition,Scalar>> vector, Bool strong_conversion)tropicalFunctionsConversion of tropical addition
dual_addition_version(Matrix<TropicalNumber<Addition,Scalar>> matrix, Bool strong_conversion)tropicalFunctionsConversion of tropical addition
dual_addition_version(Polynomial<TropicalNumber<Addition,Scalar>> polynomial, Bool strong_conversion)tropicalFunctionsConversion of tropical addition
dual_addition_version(Cycle<Addition> cycle, Bool strong_conversion)tropicalFunctionsConversion of tropical addition
dual_addition_version(MatroidRingCycle<Addition> M)tropicalFunctionsConversion of tropical addition
DUAL_BIPARTITE()topazmethod of SimplicialComplexCombinatorics
DUAL_BOUNDED_H_VECTORpolytopeproperty of PolytopeCombinatorics
DUAL_CONNECTED()topazmethod of SimplicialComplexTopology
DUAL_CONNECTED_COMPONENTS()topazmethod of SimplicialComplexCombinatorics
DUAL_CONNECTIVITY()polytopemethod of ConeCombinatorics
DUAL_CONNECTIVITY()topazmethod of SimplicialComplexCombinatorics
DUAL_CONTINUED_FRACTIONfultonproperty of CyclicQuotientInput properties
dual_description(Matrix monomial_generators)tropicalFunctionsTropical operations
DUAL_DIAMETER()polytopemethod of ConeBackward compatibility
DUAL_EVEN()polytopemethod of ConeCombinatorics
dual_faces()graphmethod of LatticeCombinatorics
DUAL_GRAPHpolytopeproperty of ConeCombinatorics
DUAL_GRAPHpolytopeproperty of PolytopeCombinatorics
DUAL_GRAPHtopazproperty of SimplicialComplexCombinatorics
DUAL_GRAPHfanproperty of PolyhedralFanCombinatorics
DUAL_GRAPH_SIGNATURE()polytopemethod of ConeTopology
DUAL_GRAPH_SIGNATURE()topazmethod of SimplicialComplexCombinatorics
DUAL_H_VECTORpolytopeproperty of PolytopeCombinatorics
dual_linear_program(Polytope P, Bool maximize)polytopeFunctionsProducing a polytope from polytopes
DUAL_MAX_CLIQUES()topazmethod of SimplicialComplexCombinatorics
DUAL_SUBDIVISIONtropicalproperty of HypersurfaceCombinatorics
dual_subdivision()tropicalmethod of HypersurfaceCombinatorics
DUAL_TREEfanproperty of PlanarNetCombinatorics
DUAL_TRIANGLE_FREE()polytopemethod of ConeBackward compatibility
dualOutitudes(Array<Array<Int>> dcel_data)topazFunctionsOther
dwarfed_cube(Int d)polytopeFunctionsProducing a polytope from scratch
dwarfed_product_polygons(Int d, Int s)polytopeFunctionsProducing a polytope from scratch
edge(Int from, Int to)commonmethod of EdgeMapno category
edge(Int tail_node, Int head_node)commonmethod of Graphno category
edge(Int from, Int to)commonmethod of EdgeHashMapno category
EDGE_COLORS()polytopemethod of Visual::PolytopeGraphno category
EDGE_COLORSpolytopeproperty of Polytopeno category
edge_contraction(SimplicialComplex complex)topazFunctionsProducing a new simplicial complex from others
EDGE_DIRECTIONSpolytopeproperty of Polytopeno category
EDGE_DIRECTIONSpolytopeproperty of PolytopeGeometry
edge_exists(Int tail_node, Int head_node)commonmethod of Graphno category
EDGE_LENGTHSpolytopeproperty of Polytopeno category
edge_lengths(Graph<Directed> G, Matrix coords)graphFunctionsOther
edge_middle(Polytope P)polytopeFunctionsProducing a polytope from polytopes
EDGE_ORIENTABLEpolytopeproperty of PolytopeCombinatorics
edge_orientable(Polytope P)polytopeFunctionsOther
EDGE_ORIENTATIONpolytopeproperty of PolytopeCombinatorics
EDGE_WEIGHTStopazproperty of SimplicialComplexno category
EdgeHashMap<Dir, Element>commonProperty_typesGraph Types
EdgeIteratorcommonProperty_typesArtificial
EdgeListcommonProperty_typesArtificial
EdgeMap<Dir, Element>commonProperty_typesGraph Types
edges()commonmethod of Graphno category
edges(Graph graph)commonFunctionsGraph Operations
EDGES()graphmethod of GraphCombinatorics
EFFECTIVEfultonproperty of TDivisorAlgebraic Geometry
EFFECTIVE_CONEfultonproperty of NormalToricVarietyAlgebraic Geometry
EHRHART_POLYNOMIALpolytopeproperty of PolytopeLattice points in cones
EHRHART_POLYNOMIAL_COEFF()polytopemethod of PolytopeLattice points in cones
EHRHART_QUASI_POLYNOMIALpolytopeproperty of PolytopeLattice points in cones
eigenvalues(Matrix<Float> A)commonFunctionsLinear Algebra
EIGENVALUES_LAPLACIANgraphproperty of Graphno category
eigenvalues_laplacian(Graph G)graphFunctionsCombinatorics
eigenvalues_laplacian(Graph G)graphFunctionsCombinatorics
elem(Int r, Int c)commonmethod of IncidenceMatrixno category
elem(Int r, Int c)commonmethod of Matrixno category
eliminate_denominators(Vector v)commonFunctionsLattice Tools
eliminate_denominators_entire(Matrix v)commonFunctionsLattice Tools
eliminate_denominators_entire_affine(Matrix v)commonFunctionsLattice Tools
eliminate_denominators_in_rows(Matrix M)commonFunctionsLattice Tools
embed(Int nvars)commonmethod of Polynomialno category
empty_cycle<Addition>(Int ambient_dim)tropicalFunctionsCreation functions for specific cycles
ENVELOPEtropicalproperty of PolytopeGeometry
EPSILONpolytopeproperty of ConeGeometry
equal_bases(Matrix M1, Matrix M2)commonFunctionsLinear Algebra
equal_polyhedra(Polytope P1, Polytope P2)polytopeFunctionsComparing
EQUATIONSpolytopeproperty of ConeInput property
EQUATIONSpolytopeproperty of PolytopeInput property
EQUATIONS_GENERATORSgroupproperty of ActionSymmetry
erase(Int from, Int to)commonmethod of EdgeHashMapno category
erase(Set f)commonmethod of FacetListno category
eraseSubsets(Set s)commonmethod of FacetListno category
eraseSupersets(Set s)commonmethod of FacetListno category
ESSENTIALLY_GENERICpolytopeproperty of ConeCombinatorics
EULER_CHARACTERISTICtopazproperty of SimplicialComplexTopology
evaluatecommonmethod of PuiseuxFractionno category
evaluate(Coefficient x, Exponent exp)commonmethod of UniPolynomialno category
evaluate_floatcommonmethod of PuiseuxFractionno category
evaluate_float(Float x)commonmethod of UniPolynomialno category
evaluation_map<Addition>(Int n, Matrix<Rational> Delta, Int i)tropicalFunctionsModuli of rational curves
evaluation_map<Addition>(Int n, Int r, Int d, Int i)tropicalFunctionsModuli of rational curves
EVEN()polytopemethod of ConeCombinatorics
EXCESS_FACET_DEGREEpolytopeproperty of ConeCombinatorics
EXCESS_RAY_DEGREEpolytopeproperty of ConeCombinatorics
EXCESS_VERTEX_DEGREEpolytopeproperty of PolytopeCombinatorics
exitcoreFunctionsInteractive
EXPLICIT_ORBIT_REPRESENTATIVE_MATRIXgroupproperty of ActionSymmetry
EXPLICIT_ORBIT_REPRESENTATIVESgroupproperty of ActionSymmetry
explicit_zonotope(Matrix zones)polytopeFunctionsProducing a polytope from scratch
export_configured(String filename)coreFunctionsInteractive
ext_gcd(Scalar a, Scalar b)commonFunctionsArithmetic
extend_application(String extension, String app_name)coreFunctionsInteractive
ExtGCD<Scalar>commonProperty_typesArithmetic
F2_VECTORpolytopeproperty of ConeCombinatorics
F2_VECTORpolytopeproperty of PolytopeCombinatorics
F2_VECTORtopazproperty of SimplicialComplexCombinatorics
F2_VECTORfanproperty of PolyhedralFanCombinatorics
f8_matroid()matroidFunctionsProducing a matroid from scratch
F_VECTORmatroidproperty of MatroidAdvanced properties
F_VECTORpolytopeproperty of QuotientSpaceCombinatorics
F_VECTORpolytopeproperty of ConeCombinatorics
F_VECTORpolytopeproperty of PolytopeCombinatorics
F_VECTORtopazproperty of SimplicialComplexCombinatorics
F_VECTORfanproperty of PolyhedralFanCombinatorics
fac(Int n)commonFunctionsArithmetic
face(Cone P, Set S)polytopeFunctionsProducing a polytope from polytopes
face()graphmethod of BasicDecorationno category
face_fan<Coord>(Polytope p, Vector v)fanFunctionsProducing a fan
face_fan<Coord>(Polytope p)fanFunctionsProducing a fan
FACE_ORBITSpolytopeproperty of QuotientSpaceCombinatorics
face_pair(Cone P, Set S)polytopeFunctionsOther
FACE_SIMPLICITYpolytopeproperty of PolytopeCombinatorics
FACESpolytopeproperty of QuotientSpaceCombinatorics
FACES(String PROPERTY_NAME)topazmethod of Visual::SimplicialComplexno category
FACES(Array<Set> faces)topazmethod of Visual::SimplicialComplexLatticeno category
faces()topazmethod of CycleGroupno category
FACESgraphproperty of LatticeCombinatorics
faces_of_dim(Cone c)polytopemethod of ConeCombinatorics
faces_of_dim(PointConfiguration p)polytopemethod of PointConfigurationCombinatorics
FACETpolytopeproperty of SchlegelDiagramno category
facet(Cone P, Int facet)polytopeFunctionsProducing a polytope from polytopes
FACET_DEGREES()polytopemethod of ConeCombinatorics
FACET_LABELSpolytopeproperty of ConeVisualization
FACET_LABELSpolytopeproperty of PolytopeVisualization
facet_normal(Int i, Int j)tropicalmethod of CycleCombinatorics
FACET_NORMALSfanproperty of PolyhedralFanGeometry
FACET_NORMALS_ACTIONgroupproperty of GroupSymmetry
FACET_NORMALS_BY_PAIRStropicalproperty of CycleCombinatorics
FACET_POINTpolytopeproperty of SchlegelDiagramno category
FACET_POINT_LATTICE_DISTANCES(Vector<Rational> v)polytopemethod of PolytopeLattice points in cones
FACET_SIZESpolytopeproperty of ConeCombinatorics
facet_to_infinity(Polytope P, Int i)polytopeFunctionsProducing a polytope from polytopes
FACET_TRIANGULATIONSpolytopeproperty of Coneno category
FACET_TRIANGULATIONSpolytopeproperty of PointConfigurationTriangulation and volume
FACET_VERTEX_LATTICE_DISTANCESpolytopeproperty of PolytopeLattice points in cones
FACET_WIDTHpolytopeproperty of PolytopeLattice points in cones
FACET_WIDTHSpolytopeproperty of PolytopeLattice points in cones
FacetListcommonProperty_typesSet Types
FACETSpolytopeproperty of ConeGeometry
FACETStopazproperty of SimplicialComplexCombinatorics
FACETS_ACTIONgroupproperty of GroupSymmetry
FACETS_GENERATORSgroupproperty of ActionSymmetry
FACETS_THRU_INPUT_RAYSpolytopeproperty of ConeGeometry
FACETS_THRU_POINTSpolytopeproperty of PolytopeGeometry
FACETS_THRU_RAYSpolytopeproperty of ConeCombinatorics
FACETS_THRU_VERTICESpolytopeproperty of PolytopeCombinatorics
FAN_AMBIENT_DIMfanproperty of PolyhedralFanGeometry
fan_decomposition(Cycle<Addition> C)tropicalFunctionsBasic polyhedral operations
FAN_DIMfanproperty of PolyhedralFanGeometry
FANOfultonproperty of NormalToricVarietyAlgebraic Geometry
fano_matroid()matroidFunctionsProducing a matroid from scratch
fano_simplex(Int d)polytopeFunctionsProducing a polytope from scratch
FAR_FACEpolytopeproperty of PolytopeUnbounded polyhedra
FAR_HYPERPLANEpolytopeproperty of PolytopeGeometry
FAR_POINTSpolytopeproperty of PointConfigurationGeometry
FAR_PSEUDOVERTICEStropicalproperty of PolytopeGeometry
FAR_VERTICESfanproperty of PolyhedralComplexGeometry
FATNESSpolytopeproperty of PolytopeCombinatorics
FEASIBLEpolytopeproperty of PolytopeGeometry
fiber_polytope(PointConfiguration pc, PointConfiguration pc)polytopeFunctionsTriangulations, subdivisions and volume
fiber_polytope(PointConfiguration pc, Polytope pc)polytopeFunctionsTriangulations, subdivisions and volume
fiber_polytope(PointConfiguration P, Matrix pi)polytopeFunctionsTriangulations, subdivisions and volume
fibonacci(Int m)commonFunctionsUtilities
Filtration<MatrixType>topazProperty_typesTopology
find(Int from, Int to)commonmethod of EdgeHashMapno category
find(Set f)commonmethod of FacetListno category
find_facet_vertex_permutations(Cone P1, Cone P2)polytopeFunctionsComparing
find_facet_vertex_permutations(SimplicialComplex complex1, SimplicialComplex complex2)topazFunctionsComparing
find_lattice_permutation(Lattice L1, Lattice L2, Permutation permutation)graphFunctionsCombinatorics
find_node_permutation(Graph graph1, Graph graph2)graphFunctionsComparing
find_permutation(Array a, Array b)commonFunctionsCombinatorics
find_row_col_permutation(IncidenceMatrix<NonSymmetric> m1, IncidenceMatrix<NonSymmetric> m2)graphFunctionsComparing
find_transitive_lp_sol(Matrix Inequalities)polytopeFunctionsOptimization
findSubsets(Set s)commonmethod of FacetListno category
findSupersets(Set s)commonmethod of FacetListno category
FLAG_VECTORpolytopeproperty of ConeCombinatorics
FLAPS()fanmethod of Visual::PlanarNetno category
FLAPSfanproperty of PlanarNetCombinatorics
FlexiblecommonProperty_typesVisualization
flip_tube(Graph G, Graph T, Int t)fanFunctionsOther
FLIP_WORDStopazproperty of HyperbolicSurfaceno category
FloatcommonProperty_typesBasic Types
floor(Rational a)commonFunctionsArithmetic
flow_polytope<Scalar>(Graph<Directed> G, EdgeMap<Directed,Scalar> Arc_Bounds, Int source, Int sink)polytopeFunctionsProducing a polytope from graphs
flow_polytope<Scalar>(Graph<Directed> G, Array<Scalar> Arc_Bounds, Int source, Int sink)polytopeFunctionsProducing a polytope from graphs
FOLDABLEtopazproperty of SimplicialComplexCombinatorics
FOLDABLE_COCIRCUIT_EQUATIONSpolytopeproperty of ConeCombinatorics
foldable_max_signature_ilp(Int d, Matrix points, Rational volume, SparseMatrix cocircuit_equations)polytopeFunctionsTriangulations, subdivisions and volume
FOLDABLE_MAX_SIGNATURE_UPPER_BOUNDpolytopeproperty of PolytopeCombinatorics
foldable_max_signature_upper_bound(Int d, Matrix points, Rational volume, SparseMatrix cocircuit_equations)polytopeFunctionsTriangulations, subdivisions and volume
foldable_prism(GeometricSimplicialComplex complex)topazFunctionsProducing a new simplicial complex from others
forgetful_map<Addition>(Int n, Set<Int> S)tropicalFunctionsModuli of rational curves
form()commonmethod of SmithNormalFormno category
found_application(String extension, String app_name)coreFunctionsInteractive
found_extension(String path)coreFunctionsInteractive
fractional_cut_polytope(Graph G)polytopeFunctionsProducing a polytope from graphs
fractional_knapsack(Vector<Rational> b)polytopeFunctionsProducing a polytope from scratch
fractional_matching_polytope(Graph G)polytopeFunctionsProducing a polytope from graphs
free_extension(Matroid M)matroidFunctionsProducing a matroid from matroids
free_sum(VectorConfiguration P1, VectorConfiguration P2)polytopeFunctionsProducing a vector configuration
free_sum(Polytope P1, Polytope P2)polytopeFunctionsProducing a polytope from polytopes
free_sum_decomposition(Polytope P)polytopeFunctionsProducing a polytope from polytopes
free_sum_decomposition_indices(Polytope P)polytopeFunctionsProducing a polytope from polytopes
front()commonmethod of Setno category
FTR_CYCLIC_NORMALpolytopeproperty of ConeVisualization
FTV_CYCLIC_NORMALpolytopeproperty of PolytopeVisualization
FULL_DIMpolytopeproperty of ConeGeometry
FULL_DIMpolytopeproperty of VectorConfigurationGeometry
FULL_DIMfanproperty of PolyhedralFanGeometry
FULL_DIMfanproperty of SubdivisionOfVectorsGeometry
fundamental2gap(String filename)topazmethod of SimplicialComplexTopology
FUNDAMENTAL_GROUPtopazproperty of SimplicialComplexTopology
FUNDAMENTAL_GROUP_GEN_LABELStopazproperty of SimplicialComplexTopology
g()commonmethod of ExtGCDno category
G_DIMtopazproperty of GeometricSimplicialComplexno category
G_INVARIANTmatroidproperty of MatroidAdvanced properties
G_VECTORpolytopeproperty of PolytopeCombinatorics
GALE()polytopemethod of PolytopeVisualization
GALE_TRANSFORMpolytopeproperty of PolytopeGeometry
GALE_TRANSFORMpolytopeproperty of VectorConfigurationGeometry
GALE_VERTICESpolytopeproperty of PolytopeVisualization
gc_closure(Polytope P)polytopeFunctionsProducing a polytope from polytopes
gcd(Int a, Int b)commonFunctionsArithmetic
gcd(Vector<Scalar> v)commonFunctionsArithmetic
gcd(UniPolynomial p, UniPolynomial q)commonFunctionsArithmetic
generalized_johnson_graph(Int n, Int k, Int i)graphFunctionsProducing a graph
generating_polyhedron_facets(PolyhedralFan P)fanFunctionsGeometry
GENERATING_POLYTOPEfultonproperty of NormalToricVarietyBasic properties
GENERATORSgroupproperty of ActionSymmetry
GENERATORSidealproperty of IdealInput properties
GENUStopazproperty of SimplicialComplexTopology
GENUStropicalmethod of HypersurfaceTopology
GeometricGraph<Scalar>graphObjectsCombinatorics
GeometricSimplicialComplex<Scalar>topazObjectsno category
geomview(Visual::Object vis_obj …)commonFunctionsVisualization
get_attachment(String name)coremethod of Core::Objectno category
get_map()graphmethod of InverseRankMapCombinatorics
get_schedule(String request)coremethod of Core::Objectno category
get_var_namescommonmethod of Polynomialno category
get_var_namescommonmethod of UniPolynomialno category
get_var_names()commonFunctionsArithmetic
gfan_secondary_fan(Matrix M)fanFunctionsProducing a fan
gfan_secondary_fan(PointConfiguration P)fanFunctionsProducing a fan
gfan_tropicalbruteforce(Ideal I)tropicalFunctionsgfan
gfan_tropicalhypersurface(Polynomial<Rational> p)tropicalFunctionsgfan
gfan_tropicalintersection(Ideal I)tropicalFunctionsgfan
gfan_tropicalvariety_of_prime(Ideal I)tropicalFunctionsgfan
gkz_dome(Int k, Int depth)topazmethod of HyperbolicSurfaceOther
GKZ_VECTORpolytopeproperty of PointConfigurationTriangulation and volume
GKZ_VECTORpolytopeproperty of PolytopeTriangulation and volume
GKZ_VECTORS(Int depth)topazmethod of HyperbolicSurfaceOther
goldfarb(Int d, Scalar e, Scalar g)polytopeFunctionsProducing a polytope from scratch
goldfarb_sit(Int d, Scalar eps, Scalar delta)polytopeFunctionsProducing a polytope from scratch
GORENSTEINpolytopeproperty of PolytopeLattice points in cones
GORENSTEINfanproperty of PolyhedralFanToric Varieties
GORENSTEIN_CONEpolytopeproperty of ConeLattice points in cones
GORENSTEIN_INDEXpolytopeproperty of PolytopeLattice points in cones
GORENSTEIN_VECTORpolytopeproperty of PolytopeLattice points in cones
GRAPHpolytopeproperty of ConeCombinatorics
GRAPHpolytopeproperty of PointConfigurationCombinatorics
GRAPHpolytopeproperty of PolytopeCombinatorics
GRAPHpolytopeproperty of PolytopeCombinatorics
GRAPHtopazproperty of SimplicialComplexCombinatorics
GRAPHfanproperty of PolyhedralFanCombinatorics
Graph<Dir>commonProperty_typesGraph Types
GRAPHtropicalproperty of RationalCurveCombinatorics
Graph<Dir>graphObjectsCombinatorics
graph_associahedron_fan(Graph G)fanFunctionsProducing a fan
GRAPH_EDGE_LENGTHStropicalproperty of RationalCurveCombinatorics
graph_from_cyclesgraphFunctionsno category
graph_from_edges(Array<Set<Int>> edges)graphFunctionsOther
graph_homomorphisms(Graph G, Graph H)graphFunctionsCombinatorics
GRAPH_SIGNATURE()polytopemethod of ConeTopology
GRAPH_SIGNATURE()topazmethod of SimplicialComplexCombinatorics
GraphMap<Dir, Element>commonProperty_typesGraph Types
graphviz(Visual::Object vis_obj …)graphFunctionsVisualization
GROEBNERidealproperty of IdealCommutative algebra
GroebneridealObjectsno category
GROEBNER_BASISpolytopeproperty of PolytopeLattice points in cones
groebner_fan(Ideal I)fanFunctionsProducing a fan
GroebnerBasispolytopeObjectsLattice points in cones
GroupgroupObjectsno category
GROUPpolytopeproperty of ConeSymmetry
GROUPpolytopeproperty of PointConfigurationSymmetry
GROUPpolytopeproperty of PolytopeSymmetry
GROUPpolytopeproperty of VectorConfigurationSymmetry
GROUPtopazproperty of SimplicialComplexSymmetry
GROUPfanproperty of PolyhedralFanSymmetry
GROUPfanproperty of PolyhedralComplexSymmetry
group_from_cyclic_notation0(String generators)groupFunctionsProducing a group
group_from_cyclic_notation1(String generators)groupFunctionsProducing a group
group_from_permlib_cyclic_notation(Array<String> gens, Int degree)groupFunctionsProducing a group
group_left_multiplication_table(Group G)groupFunctionsSymmetry
group_right_multiplication_table(Group G)groupFunctionsSymmetry
gudkov_curve()tropicalFunctionsno category
h_induced_quotient(SimplicialComplex C, Set<Int> vertices)topazFunctionsProducing a new simplicial complex from others
H_STAR_VECTORpolytopeproperty of ConeLattice points in cones
H_VECTORmatroidproperty of MatroidAdvanced properties
H_VECTORpolytopeproperty of PolytopeCombinatorics
H_VECTORtopazproperty of SimplicialComplexCombinatorics
hadamard_product(Matrix M1, Matrix M2)commonFunctionsLinear Algebra
halfspace_subdivision<Addition>(Rational a, Vector<Rational> g, Integer w)tropicalFunctionsCreation functions for specific cycles
harnack_curve(Int d)tropicalFunctionsno category
has_gaps()commonmethod of Graphno category
HashMap<Key, Value>commonProperty_typesSet Types
HashSet<Element>commonProperty_typesSet Types
HASSE_DIAGRAMpolytopeproperty of ConeCombinatorics
HASSE_DIAGRAMpolytopeproperty of PolytopeCombinatorics
HASSE_DIAGRAMtopazproperty of SimplicialComplexCombinatorics
HASSE_DIAGRAMfanproperty of PolyhedralFanCombinatorics
hd_embedder(Array label_width)graphFunctionsVisualization
help(String item)coreFunctionsInteractive
hermite_normal_form(Matrix M)commonFunctionsLinear Algebra
HermiteNormalForm<Scalar>commonProperty_typesLinear Algebra
higgs_lift(Matroid M)matroidFunctionsProducing a matroid from matroids
HILBERT_BASIS()polytopemethod of ConeLattice points in cones
HILBERT_BASIS_GENERATORSpolytopeproperty of ConeLattice points in cones
HILBERT_POLYNOMIALidealproperty of IdealCommutative algebra
HILBERT_SERIESpolytopeproperty of ConeLattice points in cones
hirzebruch_surface(Integer r)fultonFunctionsProducing a normal toric variety
histogram(ARRAY data)commonFunctionsUtilities
historycoreFunctionsInteractive
hnf()commonmethod of HermiteNormalFormno category
hom_poset(Graph<Directed> P, Graph<Directed> Q)topazFunctionsProducing a new simplicial complex from others
hom_poset(Array<Array<Int>> homs, Graph<Directed> Q)topazFunctionsProducing a new simplicial complex from others
HOMOGENEOUSpolytopeproperty of ConeLattice points in cones
HOMOGENEOUSidealproperty of IdealCommutative algebra
HOMOGENEOUS_COORDINATE_ACTIONgroupproperty of GroupSymmetry
HOMOLOGYtopazproperty of SimplicialComplexTopology
homology(Array<Set<Int>> complex, Bool co)topazFunctionsTopology
homology(ChainComplex CC, Bool co)topazFunctionsTopology
HOMOLOGYfanproperty of PolyhedralFanTopology
homology_and_cycles(Array<Set<Int>> complex, Bool co)topazFunctionsTopology
homology_and_cycles(ChainComplex<SparseMatrix<Integer>> CC, Bool co)topazFunctionsTopology
HomologyGroup<Scalar>topazProperty_typesTopology
householder_trafo(Vector<Float> b)commonFunctionsLinear Algebra
HSVcommonProperty_typesVisualization
hurwitz_cycle<Addition>(Int k, Vector<Int> degree, Vector<Rational> points)tropicalFunctionsHurwitz cycles
hurwitz_marked_cycle<Addition>(Int k, Vector<Int> degree, Vector<Rational> pullback_points)tropicalFunctionsHurwitz cycles
hurwitz_pair<Addition>(Int k, Vector<Int> degree, Vector<Rational> points)tropicalFunctionsHurwitz cycles
hurwitz_pair_local<Addition>(Int k, Vector<Int> degree, RationalCurve local_curve)tropicalFunctionsHurwitz cycles
hurwitz_subdivision<Addition>(Int k, Vector<Int> degree, Vector<Rational> points)tropicalFunctionsHurwitz cycles
HyperbolicSurfacetopazObjectsno category
hyperplane<Addition>(Vector<TropicalNumber<Addition>> coeffs)tropicalFunctionsProducing a tropical hypersurface
hyperplane_arrangement(Matrix H)fanFunctionsProducing a fan
HyperplaneArrangement<Scalar>fanObjectsGeometry
HYPERPLANESfanproperty of HyperplaneArrangementGeometry
hypersimplex(Int k, Int d)polytopeFunctionsProducing a polytope from scratch
hypersimplex<Addition>(Int d, Int k)tropicalFunctionsProducing a tropical polytope
Hypersurface<Addition>tropicalObjectsno category
hypertruncated_cube<Scalar>(Int d, Scalar k, Scalar lambda)polytopeFunctionsProducing a polytope from scratch
icosahedron()polytopeFunctionsProducing regular polytopes and their generalizations
icosidodecahedron()polytopeFunctionsProducing regular polytopes and their generalizations
IdealidealObjectsno category
IDENTICALLY_SELF_DUALmatroidproperty of MatroidAdvanced properties
IDENTIFICATION_ACTIONpolytopeproperty of QuotientSpaceBasic properties
IMAGESgroupproperty of ActionSymmetry
implicit_character(ImplicitActionOnSets A)groupFunctionsSymmetry
IMPLICIT_SET_ACTIONgroupproperty of GroupSymmetry
ImplicitActionOnSetsgroupObjectsno category
import_extension(String path, List options)coreFunctionsInteractive
in_adjacent_nodes(Int node)commonmethod of Graphno category
in_degree(Int node)commonmethod of Graphno category
in_edges(Int node)commonmethod of Graphno category
incidence_matrix(Graph G)graphFunctionsCombinatorics
incidence_matrix(Graph G)graphFunctionsCombinatorics
IncidenceMatrix<Sym>commonProperty_typesSet Types
incl(Set s1, Set s2)commonFunctionsSet Operations
include(String rulefile)coreFunctionsBasic
included_polyhedra(Polytope P1, Polytope P2)polytopeFunctionsComparing
independence_complex(Matroid matroid)topazFunctionsProducing a simplicial complex from other objects
index_matrix(SparseMatrix m)commonFunctionsData Conversion
INDEX_OFgroupproperty of ActionSymmetry
index_of(Array<Set<Int>> array)commonFunctionsUtilities
indices(SparseVector v)commonFunctionsData Conversion
induce_implicit_action(PermutationAction original_action, String property)groupFunctionsSymmetry
induce_set_action(Cone c, PermutationAction a, String domain)groupFunctionsSymmetry
induced_action(PermutationAction a, Array<Set<Int>> domain)groupFunctionsSymmetry
INDUCED_FROMgroupproperty of ActionSymmetry
induced_lattice_basis(Polytope p)polytopeFunctionsGeometry
induced_permutations(Array<Array<Int>> gens, Matrix M)groupFunctionsSymmetry
induced_permutations(Array<Matrix<Scalar>> gens, Matrix M)groupFunctionsSymmetry
induced_permutations(Array<Array<Int>> gens, Array<DomainType> S)groupFunctionsSymmetry
induced_permutations(Array<Array<Int>> a, IncidenceMatrix M)groupFunctionsSymmetry
induced_permutations_set_set(Array<Array<Int>> gens, Array<Set<Set>> domain)groupFunctionsSymmetry
induced_rep(Cone C, PermutationActionOnSets A, Array<Int> g)groupFunctionsSymmetry
induced_subcomplex(SimplicialComplex complex, Set<Int> vertices)topazFunctionsProducing a new simplicial complex from others
induced_subdivision<Scalar>(VectorConfiguration<Scalar> pc, Matrix<Scalar> R, Set I)fanFunctionsGeometry
induced_subdivisionfanFunctionsGeometry
induced_subgraph(Graph graph, Set set)commonFunctionsGraph Operations
INEQUALITIESpolytopeproperty of ConeInput property
INEQUALITIESpolytopeproperty of PolytopeInput property
INEQUALITIES_ACTIONgroupproperty of GroupSymmetry
INEQUALITIES_GENERATORSgroupproperty of ActionSymmetry
INEQUALITIES_THRU_RAYSpolytopeproperty of ConeGeometry
INEQUALITIES_THRU_VERTICESpolytopeproperty of PolytopeGeometry
INEQUALITY_LABELSpolytopeproperty of ConeVisualization
INEQUALITY_LABELSpolytopeproperty of PolytopeVisualization
infcommonmethod of Rationalno category
infcommonmethod of Integerno category
infcommonmethod of Floatno category
initial_form(Vector<Exponent> v)commonmethod of Polynomialno category
INITIAL_FORMSidealproperty of GroebnerCommutative algebra
INITIAL_IDEALidealproperty of GroebnerCommutative algebra
inner_cone(Cone p, Set<Int> F)polytopeFunctionsProducing a cone
INNER_DESCRIPTION()polytopemethod of PolytopeGeometry
INNER_POINTpolytopeproperty of SchlegelDiagramno category
inner_point(Matrix points)polytopeFunctionsOptimization
INPUT_COEFFStropicalproperty of RationalCurveInput property
INPUT_CONESfanproperty of PolyhedralFanInput property
INPUT_CONES_ACTIONgroupproperty of GroupSymmetry
INPUT_CONES_REPSfanproperty of PolyhedralFanInput property
INPUT_FACEStopazproperty of SimplicialComplexInput property
INPUT_HYPERPLANESfanproperty of HyperplaneArrangementInput property
INPUT_LINEALITYpolytopeproperty of ConeInput property
INPUT_LINEALITYfanproperty of PolyhedralFanInput property
INPUT_LINEALITY_GENERATORSgroupproperty of ActionSymmetry
INPUT_POLYTOPESfanproperty of PolyhedralComplexInput property
INPUT_POLYTOPES_ACTIONfanproperty of PolyhedralComplexSymmetry
INPUT_POLYTOPES_REPSfanproperty of PolyhedralComplexSymmetry
INPUT_RAY_LABELSpolytopeproperty of ConeVisualization
INPUT_RAY_LABELSfanproperty of PolyhedralFanVisualization
INPUT_RAYSpolytopeproperty of ConeInput property
INPUT_RAYSfanproperty of PolyhedralFanInput property
INPUT_RAYS_ACTIONgroupproperty of GroupSymmetry
INPUT_RAYS_GENERATORSgroupproperty of ActionSymmetry
INPUT_RAYS_IN_FACETSpolytopeproperty of ConeGeometry
INPUT_RAYS_REPSfanproperty of PolyhedralFanInput property
INPUT_SETStropicalproperty of RationalCurveInput property
INPUT_STRINGtropicalproperty of RationalCurveInput property
insert(Set f)commonmethod of FacetListno category
insert_leaves(RationalCurve curve, Vector<Int> nodes)tropicalFunctionsAbstract rational curves
insert_rays(Cycle<Addition> F, Matrix<Rational> R)tropicalFunctionsBasic polyhedral operations
insertMax(Set f)commonmethod of FacetListno category
insertMin(Set f)commonmethod of FacetListno category
IntcommonProperty_typesBasic Types
IntegercommonProperty_typesBasic Types
integer_hull(Polytope P)polytopeFunctionsProducing a polytope from polytopes
integer_points_bbox(Polytope<Scalar> P)polytopeFunctionsGeometry
INTEGER_VARIABLESpolytopeproperty of MixedIntegerLinearProgramno category
INTEGRALfultonproperty of TDivisorAlgebraic Geometry
interior_and_boundary_ridges(Polytope P)polytopeFunctionsTriangulations, subdivisions and volume
INTERIOR_LATTICE_POINTSpolytopeproperty of PolytopeLattice points in polytopes
INTERIOR_RIDGE_SIMPLICESpolytopeproperty of ConeCombinatorics
INTERIOR_RIDGE_SIMPLICESpolytopeproperty of PointConfigurationCombinatorics
internal_activity()matroidFunctionsOther
intersect(Cycle X, Cycle Y)tropicalFunctionsIntersection theory
intersect_check_transversality(Cycle X, Cycle Y, Bool ensure_transversality)tropicalFunctionsIntersection theory
intersect_container(Cycle cycle, Cycle container, Bool forceLatticeComputation)tropicalFunctionsBasic polyhedral operations
intersect_in_smooth_surface(Cycle<Addition> surface, Cycle<Addition> A, Cycle<Addition> B)tropicalFunctionsIntersection theory
intersection(Matroid M)matroidFunctionsProducing a matroid from matroids
intersection(Cone C …)polytopeFunctionsProducing a polytope from polytopes
intersection(PolyhedralFan F, Matrix H)fanFunctionsProducing a fan
INTERSECTION_COMPLEXfanproperty of PolyhedralFanTopology
intersection_extremals(Matrix<TropicalNumber> G, Vector<TropicalNumber> a, Vector<TropicalNumber> b)tropicalFunctionsTropical operations
INTERSECTION_FORMtopazproperty of SimplicialComplexTopology
IntersectionFormtopazProperty_typesTopology
inv(Matrix A)commonFunctionsLinear Algebra
invalid_node(Int node)commonmethod of Graphno category
invariant_polynomials(MatrixActionOnVectors a, Int d)groupFunctionsSymmetry
INVERSE_RANK_MAPgraphproperty of LatticeCombinatorics
InverseRankMap<SeqType>graphProperty_typesCombinatorics
IRREDUCIBLE_DECOMPOSITIONgroupproperty of ActionSymmetry
irreducible_decomposition<Scalar>(Vector<Scalar> character, Group G)groupFunctionsSymmetry
is_B_nested(Set<Set> check_me, PowerSet B)fanFunctionsOther
IS_BALANCEDtropicalproperty of CycleWeights and lattices
is_balanced(Cycle C)tropicalFunctionsWeights and lattices
is_building_set(PowerSet check_me, Int n)fanFunctionsOther
is_contained(Matrix<TropicalNumber> apices, Array<Set<Int>> sectors)tropicalFunctionsTropical operations
is_emptytropicalFunctionsDegeneracy tests
is_fan(Bool allow_translations)tropicalmethod of CycleBasic polyhedral operations
is_generalized_shelling(Array<Set> FaceList)topazFunctionsOther
IS_GLOBALLY_AFFINE_LINEARtropicalproperty of MorphismDefining morphisms and functions
IS_GLOBALLY_DEFINEDtropicalproperty of RationalFunctionDefining morphisms and functions
is_integral(Vector v)commonFunctionsLattice Tools
is_integral(Matrix m)commonFunctionsLattice Tools
IS_IRREDUCIBLEtropicalproperty of CycleWeights and lattices
is_isomorphic_to(Matroid M)matroidmethod of MatroidAdvanced properties
is_modular_cut(Matroid M, Array<Set> C)matroidFunctionsOther
is_nested_matroid(Matroid M)matroidFunctionsAdvanced properties
is_nonnegative(ARRAY data)commonFunctionsUtilities
is_one(Scalar s)commonFunctionsArithmetic
is_regular(Matrix points, Array<Set<Int>> subdiv)polytopeFunctionsTriangulations, subdivisions and volume
is_smooth(Cycle<Addition> a)tropicalFunctionsMatroids
is_subdivision(Matrix points, Array<Set<Int>> faces)polytopeFunctionsTriangulations, subdivisions and volume
is_unimodal(ARRAY data)commonFunctionsUtilities
is_vertex_decomposition(SimplicialComplex complex, Array<Int> vertices)topazFunctionsOther
is_zero(Scalar s)commonFunctionsArithmetic
isfinite(Scalar a)commonFunctionsArithmetic
isinf(Scalar a)commonFunctionsArithmetic
isomorphic(Cone P1, Cone P2)polytopeFunctionsComparing
isomorphic(SimplicialComplex complex1, SimplicialComplex complex2)topazFunctionsComparing
isomorphic(IncidenceMatrix IncidenceMatrix1, IncidenceMatrix IncidenceMatrix2)graphFunctionsComparing
isomorphic(Graph graph1, Graph graph2)graphFunctionsComparing
isotypic_basis(Group G, PermutationActionOnSets A, Int i)groupFunctionsSymmetry
isotypic_basis(Group G, PermutationAction A, Int i)groupFunctionsSymmetry
isotypic_basis<Scalar>(Group G, MatrixActionOnVectors<Scalar> A, Int i)groupFunctionsSymmetry
ISOTYPIC_COMPONENTSpolytopeproperty of SymmetrizedCocircuitEquationsno category
isotypic_configuration(Polytope P, Int i)polytopeFunctionsSymmetry
isotypic_projector(Group G, PermutationAction A, Int i)groupFunctionsSymmetry
isotypic_projector<Scalar>(Group G, MatrixActionOnVectors<Scalar> A, Int i)groupFunctionsSymmetry
isotypic_supports(PermutationActionOnSets a, Array<Set> A)groupFunctionsSymmetry
isotypic_supports(PermutationActionOnSets a, SparseMatrix M)groupFunctionsSymmetry
iterated_barycentric_subdivision(Cone c, Int n)polytopeFunctionsTriangulations, subdivisions and volume
iterated_barycentric_subdivision(SimplicialComplex complex, Int k)topazFunctionsProducing a new simplicial complex from others
ITERATED_DELAUNAY_GRAPHpolytopeproperty of VoronoiPolyhedronno category
ITERATED_VORONOI_GRAPHpolytopeproperty of VoronoiPolyhedronno category
Iterator<Element>commonProperty_typesArtificial
j_matroid()matroidFunctionsProducing a matroid from scratch
javaview(Visual::Object vis_obj …)commonFunctionsVisualization
johnson_graph(Int n, Int k)graphFunctionsProducing a graph
johnson_solid(Int n)polytopeFunctionsProducing regular polytopes and their generalizations
johnson_solid(String s)polytopeFunctionsProducing regular polytopes and their generalizations
join_complexes(SimplicialComplex complex1, SimplicialComplex complex2)topazFunctionsProducing a new simplicial complex from others
join_polytopes(Polytope P1, Polytope P2)polytopeFunctionsProducing a polytope from polytopes
jreality(Visual::Object vis_obj …)commonFunctionsVisualization
k1()commonmethod of ExtGCDno category
k2()commonmethod of ExtGCDno category
k_cyclic(Int n, Vector s)polytopeFunctionsProducing a polytope from scratch
k_skeleton(SimplicialComplex complex, Int k)topazFunctionsProducing a new simplicial complex from others
k_skeleton(GeometricSimplicialComplex complex, Int k)topazFunctionsProducing a new simplicial complex from others
k_skeleton<Coord>(PolyhedralFan F, Int k)fanFunctionsProducing a fan
klee_minty_cube(Int d, Scalar e)polytopeFunctionsProducing a polytope from scratch
klein_bottle()topazFunctionsProducing from scratch
kneser_graph(Int n, Int k)graphFunctionsProducing a graph
KNOTtopazproperty of SimplicialComplexTopology
l8_matroid()matroidFunctionsProducing a matroid from scratch
labeled(Vector data, Array<String> elem_labels)commonFunctionsFormatting
labeled_vertices(String label …)polytopemethod of PolytopeGeometry
labeled_vertices(String label …)topazmethod of SimplicialComplexCombinatorics
LABELSmatroidproperty of MatroidOther
LABELSpolytopeproperty of VectorConfigurationVisualization
LABELSfanproperty of SubdivisionOfVectorsVisualization
LAMINARmatroidproperty of MatroidAdvanced properties
laplacian(Graph G)graphFunctionsCombinatorics
laplacian(Graph G)graphFunctionsCombinatorics
latex(Matrix data, Array<String> elem_labels)commonFunctionsFormatting
LATTICE()polytopemethod of Visual::Polytopeno category
LATTICEpolytopeproperty of PolytopeGeometry
Lattice<Decoration, SeqType>graphObjectsCombinatorics
LATTICE_ACCUMULATED_EDGE_LENGTHSpolytopeproperty of PolytopeLattice points in cones
lattice_automorphisms_smooth_polytope(Polytope P)polytopeFunctionsSymmetry
LATTICE_BASEStropicalproperty of CycleWeights and lattices
LATTICE_BASISpolytopeproperty of PolytopeLattice points in cones
lattice_bipyramid(Polytope P, Vector v, Vector v_prime, Rational z, Rational z_prime)polytopeFunctionsProducing a polytope from polytopes
LATTICE_CODEGREEpolytopeproperty of PolytopeLattice points in cones
LATTICE_COLORED()polytopemethod of Visual::Polytopeno category
LATTICE_DEGREEpolytopeproperty of PolytopeLattice points in cones
LATTICE_EDGE_LENGTHSpolytopeproperty of PolytopeLattice points in cones
LATTICE_EMPTYpolytopeproperty of PolytopeLattice points in cones
LATTICE_GENERATORStropicalproperty of CycleWeights and lattices
LATTICE_HOLLOWpolytopemethod of Polytopeno category
lattice_index(Matrix<Integer> m)tropicalFunctionsLattices
lattice_isomorphic_smooth_polytopes(Polytope P1, Polytope P2)polytopeFunctionsComparing
lattice_normal(Int i, Int j)tropicalmethod of CycleWeights and lattices
LATTICE_NORMAL_FCT_VECTORtropicalproperty of CycleWeights and lattices
LATTICE_NORMAL_SUMtropicalproperty of CycleWeights and lattices
LATTICE_NORMAL_SUM_FCT_VECTORtropicalproperty of CycleWeights and lattices
LATTICE_NORMALStropicalproperty of CycleWeights and lattices
lattice_of_chains(Lattice<Decoration> lattice)graphFunctionsCombinatorics
LATTICE_OF_CYCLIC_FLATSmatroidproperty of MatroidAxiom systems
LATTICE_OF_FLATSmatroidproperty of MatroidAxiom systems
LATTICE_POINTS()polytopemethod of PolytopeLattice points in polytopes
LATTICE_POINTS_GENERATORSpolytopeproperty of PolytopeLattice points in polytopes
lattice_pyramid(Polytope P, Rational z, Vector v)polytopeFunctionsProducing a polytope from polytopes
LATTICE_VOLUMEpolytopeproperty of PolytopeLattice points in cones
LATTICE_WIDTHpolytopeproperty of PolytopeLattice points in cones
LATTICE_WIDTH_DIRECTIONpolytopeproperty of PolytopeLattice points in cones
lawrence(Cone P)polytopeFunctionsProducing a polytope from polytopes
lawrence_matrix(Matrix M)polytopeFunctionsOther
LayeredPermutationActiongroupObjectsno category
lc()commonmethod of Polynomialno category
lc()commonmethod of UniPolynomialno category
lcm(Int a, Int b)commonFunctionsArithmetic
lcm(Vector<Scalar> v)commonFunctionsArithmetic
lecture_hall_simplex(Int d)polytopeFunctionsProducing a polytope from scratch
LEDA_graph(Graph G)graphFunctionsVisualization
left_companion()commonmethod of SmithNormalFormno category
left_companion()commonmethod of SingularValueDecompositionno category
lex_extension(Matroid M, Array<Set> C)matroidFunctionsProducing a matroid from matroids
lex_maximalgroupmethod of PermutationActionOrbits
lex_min_representative(Group G, Set S)groupFunctionsSymmetry
lex_minimalgroupmethod of PermutationActionOrbits
lex_ordered(FacetList f)commonFunctionsData Conversion
lifted_pluecker(Matrix<TropicalNumber<Addition>> V)tropicalFunctionsOther
LIFTINGfultonproperty of RationalDivisorClassGroupAlgebraic Geometry
lin_solve(Matrix A, Vector b)commonFunctionsLinear Algebra
line_graph(Graph G)graphFunctionsCombinatorics
LINEALITY_DIMpolytopeproperty of ConeGeometry
LINEALITY_DIMfanproperty of PolyhedralFanGeometry
LINEALITY_SPACEpolytopeproperty of ConeGeometry
LINEALITY_SPACEfanproperty of PolyhedralFanGeometry
lineality_space(Matrix A)commonFunctionsLinear Algebra
LINEALITY_SPACE_GENERATORSgroupproperty of ActionSymmetry
LINEALITY_VALUEStropicalproperty of MorphismDefining morphisms and functions
LINEALITY_VALUEStropicalproperty of RationalFunctionDefining morphisms and functions
LINEAR_OBJECTIVEpolytopeproperty of MixedIntegerLinearProgramno category
LINEAR_OBJECTIVEpolytopeproperty of LinearProgramno category
linear_space(ValuatedMatroid<Addition,Rational> A)tropicalFunctionsTropical linear spaces
LINEAR_SPANpolytopeproperty of ConeGeometry
LINEAR_SPANpolytopeproperty of VectorConfigurationGeometry
LINEAR_SPANfanproperty of SubdivisionOfVectorsGeometry
LINEAR_SPAN_NORMALSfanproperty of PolyhedralFanGeometry
linear_symmetriespolytopeFunctionsSymmetry
linear_symmetries(Matrix m)polytopeFunctionsSymmetry
LinearProgram<Scalar>polytopeObjectsOptimization
lines_in_cubic(Polynomial<TropicalNumber<Addition>> p)tropicalFunctionsLines in surfaces
LinesInCubic<Addition>tropicalObjectsno category
link_complex(SimplicialComplex complex, Set<Int> face)topazFunctionsProducing a new simplicial complex from others
listcoremethod of Core::RuleChainno category
List<Element>commonProperty_typesBasic Types
list_attachmentscoremethod of Core::Objectno category
LIST_FAMILY_FIXED_EDGEtropicalproperty of LinesInCubicLists of lines
LIST_FAMILY_FIXED_VERTEXtropicalproperty of LinesInCubicLists of lines
LIST_FAMILY_MOVING_EDGEtropicalproperty of LinesInCubicLists of lines
LIST_FAMILY_MOVING_VERTEXtropicalproperty of LinesInCubicLists of lines
LIST_ISOLATED_EDGEtropicalproperty of LinesInCubicLists of lines
LIST_ISOLATED_NO_EDGEtropicalproperty of LinesInCubicLists of lines
list_namescoremethod of Core::Objectno category
list_new_propertiescoremethod of Core::RuleChainno category
list_properties(Bool deep)coremethod of Core::Objectno category
lm()commonmethod of Polynomialno category
load(String filename)coreFunctionsBasic
load_commands(String filename)coreFunctionsInteractive
load_data(String filename)coreFunctionsBasic
load_singular_library(String s)idealFunctionsSingular interface
local_codim_one(Cycle<Addition> complex, Int face)tropicalFunctionsLocal computations
local_m0n<Addition>(RationalCurve R …)tropicalFunctionsModuli of rational curves
local_point(Cycle<Addition> complex, Vector<Rational> v)tropicalFunctionsLocal computations
local_restrict(Cycle<Addition> complex, IncidenceMatrix cones)tropicalFunctionsLocal computations
LOCAL_RESTRICTIONtropicalproperty of CycleLocal computations
local_var_names(String names …)commonFunctionsArithmetic
local_vertex(Cycle<Addition> complex, Int ray)tropicalFunctionsLocal computations
LocalFloatEpsiloncommonProperty_typesArtificial
LOCALLY_STRONGLY_CONNECTEDtopazproperty of SimplicialComplexTopology
LongcommonProperty_typesBasic Types
long_and_winding(Int r)polytopeFunctionsProducing a polytope from scratch
LOOPSmatroidproperty of MatroidAdvanced properties
lower_deg()commonmethod of UniPolynomialno category
lower_lattice_pointsfultonFunctionsCommutative Algebra
LPpolytopeproperty of PolytopeOptimization
lp2poly<Scalar>(String file, Vector testvec, String prefix)polytopeFunctionsOptimization
m0n<Addition>(Int n)tropicalFunctionsModuli of rational curves
m_sequence(Vector<Int> h)polytopeFunctionsOther
MAHLER_VOLUMEpolytopeproperty of PolytopeTriangulation and volume
make_totally_dual_integral(Polytope P)polytopeFunctionsProducing a polytope from polytopes
MANIFOLDtopazproperty of SimplicialComplexTopology
Map<Key, Value>commonProperty_typesSet Types
mapping_polytope(Polytope P1, Polytope P2)polytopeFunctionsProducing a polytope from polytopes
mapvars(Array<Int> indices, Int nvars)commonmethod of Polynomialno category
MASSIVE_GKZ_VECTORpolytopeproperty of PointConfigurationTriangulation and volume
MATCHINGtopazproperty of SimplicialComplexno category
Matrix<Element, Sym>commonProperty_typesAlgebraic Types
MATRIXtropicalproperty of MorphismDefining morphisms and functions
MATRIX_ACTIONpolytopeproperty of ConeSymmetry
MATRIX_ACTIONpolytopeproperty of PointConfigurationSymmetry
MATRIX_ACTIONpolytopeproperty of PolytopeSymmetry
MATRIX_ACTIONpolytopeproperty of VectorConfigurationSymmetry
MATRIX_ACTIONfanproperty of PolyhedralFanSymmetry
MATRIX_ACTION_ON_COMPLEXfanproperty of PolyhedralComplexSymmetry
MatrixActionOnVectorsgroupObjectsno category
matrixPair2apexSet(Matrix<TropicalNumber> G, Matrix<TropicalNumber> A)tropicalFunctionsTropical operations
MatroidmatroidObjectsno category
matroid_coordinates_from_curve<Addition>(RationalCurve r)tropicalFunctionsAbstract rational curves
matroid_fan<Addition>(Matroid m)tropicalFunctionsMatroids
matroid_fan<Addition>(Matrix<Rational> m)tropicalFunctionsMatroids
matroid_fan_from_flats<Addition>(Matroid A)tropicalFunctionsMatroids
matroid_from_characteristic_vector(Vector<Integer> v, Int r, Int n)matroidFunctionsProducing a matroid from other objects
matroid_from_cyclic_flats(Array<Set<Int>> F, Array<Set<Int>> R, Int N)matroidFunctionsProducing a matroid from other objects
matroid_from_fan(Cycle<Addition> A)tropicalFunctionsMatroids
matroid_from_graph(Graph g)matroidFunctionsProducing a matroid from other objects
matroid_from_matroid_polytope(Polytope p)matroidFunctionsProducing a matroid from other objects
MATROID_HYPERPLANESmatroidproperty of MatroidAxiom systems
matroid_indices_of_hypersimplex_vertices()polytopeFunctionsOther
matroid_plueckervector(Matroid m)matroidFunctionsOther
matroid_polytope<Addition, Scalar>(Matroid m, Scalar v)tropicalFunctionsProducing a tropical polytope
matroid_ring_cycle<Addition>(Matroid M, Int scale)tropicalFunctionsCreation functions for specific cycles
matroid_ring_linear_space(MatroidRingCycle L)tropicalFunctionsMatroid ring cycle arithmetics
matroid_ring_product(MatroidRingCycle A, MatroidRingCycle B)tropicalFunctionsMatroid ring cycle arithmetics
matroid_ring_sum(MatroidRingCycle A, MatroidRingCycle B)tropicalFunctionsMatroid ring cycle arithmetics
MatroidRingCycle<Addition>tropicalObjectsno category
MaxcommonProperty_typesArithmetic
MAX_BOUNDARY_SIMPLICESpolytopeproperty of ConeCombinatorics
MAX_BOUNDARY_SIMPLICESpolytopeproperty of PointConfigurationCombinatorics
MAX_CLIQUES()topazmethod of SimplicialComplexCombinatorics
MAX_CLIQUESgraphproperty of Graphno category
max_GC_rank(Int d)polytopeFunctionsProducing a polytope from scratch
MAX_INTERIOR_SIMPLICESpolytopeproperty of ConeCombinatorics
MAX_INTERIOR_SIMPLICESpolytopeproperty of PointConfigurationCombinatorics
max_interior_simplices(Polytope P)polytopeFunctionsTriangulations, subdivisions and volume
max_interior_simplices(PointConfiguration P)polytopeFunctionsTriangulations, subdivisions and volume
max_metric(Int n)fanFunctionsFinite metric spaces
MAXIMAL_AT_CODIM_ONEtropicalproperty of CycleCombinatorics
MAXIMAL_CELLSfanproperty of SubdivisionOfVectorsCombinatorics
maximal_chains_of_lattice(Lattice F)graphFunctionsCombinatorics
MAXIMAL_CONE_LABELSfanproperty of PolyhedralFanVisualization
MAXIMAL_CONESfanproperty of PolyhedralFanCombinatorics
MAXIMAL_CONES_ACTIONgroupproperty of GroupSymmetry
MAXIMAL_CONES_ACTIONfanproperty of PolyhedralFanSymmetry
MAXIMAL_CONES_COMBINATORIAL_DIMSfanproperty of PolyhedralFanCombinatorics
MAXIMAL_CONES_FACETSfanproperty of PolyhedralFanGeometry
MAXIMAL_CONES_GENERATORSgroupproperty of ActionSymmetry
MAXIMAL_CONES_IN_ORBITSfanproperty of PolyhedralFanSymmetry
MAXIMAL_CONES_INCIDENCESfanproperty of PolyhedralFanCombinatorics
MAXIMAL_CONES_LINEAR_SPAN_NORMALSfanproperty of PolyhedralFanGeometry
MAXIMAL_CONES_ORBIT_SIZESfanproperty of PolyhedralFanSymmetry
MAXIMAL_CONES_REPSfanproperty of PolyhedralFanSymmetry
MAXIMAL_CONES_REPS_DIMSfanproperty of PolyhedralFanSymmetry
MAXIMAL_CONES_REPS_FACETSfanproperty of PolyhedralFanSymmetry
MAXIMAL_CONES_REPS_LINEAR_SPAN_NORMALSfanproperty of PolyhedralFanSymmetry
MAXIMAL_CONES_THRU_RAYSfanproperty of PolyhedralFanCombinatorics
MAXIMAL_COVECTOR_CELLStropicalproperty of PolytopeCombinatorics
MAXIMAL_COVECTORStropicalproperty of PolytopeCombinatorics
MAXIMAL_FACEpolytopeproperty of LinearProgramno category
MAXIMAL_POLYTOPESfanproperty of PolyhedralComplexCombinatorics
MAXIMAL_POLYTOPES_ACTIONfanproperty of PolyhedralComplexSymmetry
MAXIMAL_POLYTOPES_AFFINE_HULL_NORMALSfanproperty of PolyhedralComplexGeometry
MAXIMAL_POLYTOPES_COMBINATORIAL_DIMSfanproperty of PolyhedralComplexCombinatorics
MAXIMAL_POLYTOPES_FACETSfanproperty of PolyhedralComplexGeometry
MAXIMAL_POLYTOPES_GENERATORSfanproperty of PolyhedralComplexSymmetry
MAXIMAL_POLYTOPES_IN_ORBITSfanproperty of PolyhedralComplexSymmetry
MAXIMAL_POLYTOPES_INCIDENCESfanproperty of PolyhedralComplexCombinatorics
MAXIMAL_POLYTOPES_ORBIT_SIZESfanproperty of PolyhedralComplexSymmetry
MAXIMAL_POLYTOPES_REPSfanproperty of PolyhedralComplexSymmetry
MAXIMAL_POLYTOPES_REPS_AFFINE_SPAN_NORMALSfanproperty of PolyhedralComplexSymmetry
MAXIMAL_POLYTOPES_REPS_DIMSfanproperty of PolyhedralComplexSymmetry
MAXIMAL_POLYTOPES_REPS_FACETSfanproperty of PolyhedralComplexSymmetry
MAXIMAL_POLYTOPES_THRU_VERTICESfanproperty of PolyhedralComplexCombinatorics
MAXIMAL_SOLUTIONpolytopeproperty of MixedIntegerLinearProgramno category
MAXIMAL_TRANSVERSAL_PRESENTATIONmatroidproperty of MatroidAdvanced properties
MAXIMAL_VALUEpolytopeproperty of MixedIntegerLinearProgramno category
MAXIMAL_VALUEpolytopeproperty of LinearProgramno category
MAXIMAL_VERTEXpolytopeproperty of LinearProgramno category
maximum(ARRAY array)commonFunctionsUtilities
median(ARRAY array)commonFunctionsUtilities
metapost(Visual::Object vis_obj …)graphFunctionsVisualization
metric_extended_tight_span(Matrix<Rational> M)fanFunctionsFinite metric spaces
metric_tight_span(Matrix<Rational> M)fanFunctionsFinite metric spaces
metric_vectortropicalmethod of RationalCurveConversion
MILPpolytopeproperty of PolytopeOptimization
MincommonProperty_typesArithmetic
MIN_MAX_FACE(LinearProgram lp)polytopemethod of Visual::SchlegelDiagramno category
MIN_MAX_FACE(LinearProgram lp)polytopemethod of Visual::PolytopeLatticeno category
MIN_MAX_FACE(LinearProgram lp)polytopemethod of Visual::Polytopeno category
MIN_MAX_FACE(LinearProgram lp)polytopemethod of Visual::PolytopeGraphno category
min_metric(Int n)fanFunctionsFinite metric spaces
MIN_WEIGHTSfanproperty of SubdivisionOfVectorsGeometry
minimal_base(Matroid matroid, Vector weights)matroidFunctionsOther
MINIMAL_FACEpolytopeproperty of LinearProgramno category
MINIMAL_NON_FACESpolytopeproperty of PolytopeCombinatorics
MINIMAL_NON_FACEStopazproperty of SimplicialComplexCombinatorics
MINIMAL_SOLUTIONpolytopeproperty of MixedIntegerLinearProgramno category
MINIMAL_VALUEpolytopeproperty of MixedIntegerLinearProgramno category
MINIMAL_VALUEpolytopeproperty of LinearProgramno category
MINIMAL_VERTEXpolytopeproperty of LinearProgramno category
MINIMAL_VERTEX_ANGLEpolytopeproperty of PolytopeGeometry
minimal_vertex_angle(Polytope P)polytopeFunctionsGeometry
minimum(ARRAY array)commonFunctionsUtilities
MINKOWSKI_CONEpolytopeproperty of PolytopeGeometry
MINKOWSKI_CONE_COEFF(Vector<Rational> coeff)polytopemethod of PolytopeGeometry
MINKOWSKI_CONE_POINT(Vector<Rational> point)polytopemethod of PolytopeGeometry
minkowski_sum(PointConfiguration P1, PointConfiguration P2)polytopeFunctionsProducing a point configuration
minkowski_sum(Scalar lambda, PointConfiguration P1, Scalar mu, PointConfiguration P2)polytopeFunctionsProducing a point configuration
minkowski_sum(Polytope P1, Polytope P2)polytopeFunctionsProducing a polytope from polytopes
minkowski_sum(Scalar lambda, Polytope P1, Scalar mu, Polytope P2)polytopeFunctionsProducing a polytope from polytopes
minkowski_sum(TropicalNumber<Addition,Scalar> lambda, Polytope<Addition,Scalar> P, TropicalNumber<Addition,Scalar> mu, Polytope<Addition,Scalar> Q)tropicalFunctionsProducing a tropical polytope
minkowski_sum_fukuda(Array<Polytope> summands)polytopeFunctionsProducing a polytope from polytopes
minor(Set r, Set c)commonmethod of IncidenceMatrixno category
minor(Set r, Set c)commonmethod of Matrixno category
minus_infcommonmethod of Rationalno category
minus_infcommonmethod of Integerno category
minus_infcommonmethod of Floatno category
MIXED_GRAPHtopazproperty of SimplicialComplexVisualization
mixed_graph(SimplicialComplex complex)topazFunctionsOther
mixed_integer_hull(Polytope P, Array<Int> int_coords)polytopeFunctionsProducing a polytope from polytopes
mixed_subdivision(Polytope P_0, Polytope P_1, Array<Set> VIF, Scalar t_0, Scalar t_1)fanFunctionsProducing a polyhedral complex
mixed_subdivision(Int m, Polytope C, Array<Set> a)fanFunctionsProducing a polyhedral complex
mixed_subdivision(Array<Polytope> A, Array<Set> VIF)fanFunctionsProducing a polyhedral complex
mixed_volume(Polytope<Scalar> P1, Polytope<Scalar> P2, Polytope<Scalar> Pn)polytopeFunctionsTriangulations, subdivisions and volume
MixedIntegerLinearProgram<Scalar>polytopeObjectsOptimization
MODULE_GENERATORSfultonproperty of NormalToricVarietyCombinatorics
MOEBIUS_STRIP_EDGESpolytopeproperty of PolytopeCombinatorics
MOEBIUS_STRIP_QUADSpolytopeproperty of PolytopeCombinatorics
MongoClientcommonProperty_typesDatabase
MONOID_GRADINGpolytopeproperty of ConeLattice points in cones
MONOMIALidealproperty of IdealCommutative algebra
monomial(Int var_index, Int n_vars)commonmethod of Polynomialno category
monomialcommonmethod of UniPolynomialno category
monomials<Coefficient, Exponent>(Int n)commonFunctionsArithmetic
MONOMIALStropicalproperty of Hypersurfaceno category
monomials_as_matrix()commonmethod of Polynomialno category
monomials_as_vector()commonmethod of UniPolynomialno category
moore_penrose_inverse(Matrix M)commonFunctionsLinear Algebra
MORI_CONEfultonproperty of NormalToricVarietyAlgebraic Geometry
Morphism<Addition>tropicalObjectsno category
morphism_from_affine<Addition>(Matrix<Rational> A, Vector<Rational> v, Int domain_chart, Int target_chart)tropicalFunctionsAffine and projective coordinates
MORSE_MATCHING()topazmethod of Visual::SimplicialComplexno category
MORSE_MATCHING()topazmethod of Visual::SimplicialComplexLatticeno category
MORSE_MATCHINGtopazproperty of SimplicialComplexTopology
MorseMatchingtopazObjectsTopology
multi_associahedron_sphere(Int n, Int k)topazFunctionsProducing from scratch
MULTIPLE_POINTSpolytopeproperty of PointConfigurationGeometry
MULTIPLE_VECTORSpolytopeproperty of VectorConfigurationGeometry
multiplex(Int d, Int n)polytopeFunctionsProducing a polytope from scratch
Nfultonproperty of CyclicQuotientInput properties
n1_matroid()matroidFunctionsProducing a matroid from scratch
n2_matroid()matroidFunctionsProducing a matroid from scratch
N_01POINTSpolytopeproperty of PolytopeGeometry
N_AUTOMORPHISMSmatroidproperty of MatroidEnumerative properties
n_automorphisms(Graph graph)graphFunctionsComparing
N_BASESmatroidproperty of MatroidEnumerative properties
N_BOUNDARY_LATTICE_POINTSpolytopeproperty of PolytopeLattice points in polytopes
N_BOUNDED_VERTICESpolytopeproperty of PolytopeUnbounded polyhedra
n_cells()topazmethod of Filtrationno category
N_CIRCUITSmatroidproperty of MatroidEnumerative properties
N_COCIRCUITSmatroidmethod of MatroidEnumerative properties
N_COLOOPSmatroidmethod of MatroidEnumerative properties
N_CONESfanproperty of PolyhedralFanCombinatorics
N_CONNECTED_COMPONENTSmatroidproperty of MatroidAdvanced properties
N_CONNECTED_COMPONENTS()topazmethod of SimplicialComplexTopology
N_CONNECTED_COMPONENTSgraphproperty of Graphno category
N_CRITICAL_FACEStopazproperty of MorseMatchingno category
N_CYCLIC_FLATSmatroidproperty of MatroidEnumerative properties
N_EDGESpolytopeproperty of ConeCombinatorics
N_EDGESgraphproperty of Graphno category
N_ELEMENTSmatroidproperty of MatroidEnumerative properties
N_ELEMENTStropicalproperty of MatroidRingCycleMatroid data
N_EQUATIONSpolytopeproperty of ConeGeometry
N_EQUATIONS_GENERATORSgroupproperty of ActionSymmetry
N_FACET_NORMALSfanproperty of PolyhedralFanGeometry
N_FACETSpolytopeproperty of ConeCombinatorics
N_FACETStopazproperty of SimplicialComplexCombinatorics
N_FACETS_GENERATORSgroupproperty of ActionSymmetry
N_FAMILIEStropicalproperty of LinesInCubicCounts of lines
n_fine_triangulations(Matrix M, Bool optimization)polytopeFunctionsTriangulations, subdivisions and volume
n_fixed_points(Array<Int> p)commonFunctionsCombinatorics
N_FLAGS(Int type …)polytopemethod of ConeCombinatorics
N_FLATSmatroidproperty of MatroidEnumerative properties
n_frames()topazmethod of Filtrationno category
n_gon(Int n, Rational r, Rational alpha_0)polytopeFunctionsProducing a polytope from scratch
N_GON_TRIANGULATIONfultonproperty of VersalComponentCombinatorics
n_graph_homomorphisms(Graph G, Graph H)graphFunctionsCombinatorics
N_HILBERT_BASISpolytopeproperty of ConeLattice points in cones
N_INEQUALITIES_GENERATORSgroupproperty of ActionSymmetry
N_INPUT_LINEALITYpolytopeproperty of ConeGeometry
N_INPUT_LINEALITY_GENERATORSgroupproperty of ActionSymmetry
N_INPUT_RAYSpolytopeproperty of ConeGeometry
N_INPUT_RAYSfanproperty of PolyhedralFanGeometry
N_INPUT_RAYS_GENERATORSgroupproperty of ActionSymmetry
N_INTERIOR_LATTICE_POINTSpolytopeproperty of PolytopeLattice points in polytopes
N_ISOLATEDtropicalproperty of LinesInCubicCounts of lines
N_LATTICE_POINTSpolytopeproperty of PolytopeLattice points in polytopes
N_LATTICE_POINTS_IN_DILATION(Int n)polytopemethod of PolytopeLattice points in cones
N_LEAVEStropicalproperty of RationalCurveCombinatorics
N_LINEALITY_SPACE_GENERATORSgroupproperty of ActionSymmetry
N_LOOPSmatroidproperty of MatroidEnumerative properties
N_MATROID_HYPERPLANESmatroidproperty of MatroidEnumerative properties
N_MAX_BOUNDARY_SIMPLICESpolytopeproperty of PointConfigurationCombinatorics
N_MAX_INTERIOR_SIMPLICESpolytopeproperty of PointConfigurationCombinatorics
N_MAXIMAL_CELLSfanproperty of SubdivisionOfVectorsCombinatorics
N_MAXIMAL_CONE_ORBITSfanproperty of PolyhedralFanSymmetry
N_MAXIMAL_CONESfanproperty of PolyhedralFanCombinatorics
N_MAXIMAL_CONES_GENERATORSgroupproperty of ActionSymmetry
N_MAXIMAL_POLYTOPESfanproperty of PolyhedralComplexCombinatorics
N_MAXIMAL_POLYTOPES_ORBITSfanproperty of PolyhedralComplexSymmetry
N_MAXIMAL_TORUS_ORBITSfultonproperty of NormalToricVarietyBasic properties
N_MINIMAL_NON_FACEStopazproperty of SimplicialComplexCombinatorics
N_NESTED_SUMMANDStropicalproperty of MatroidRingCycleMatroid data
N_NODESgraphproperty of Graphno category
N_ORBIT_REPRESENTATIVESgroupproperty of ActionSymmetry
N_ORBITSgroupproperty of ActionSymmetry
N_POINTSpolytopeproperty of PointConfigurationGeometry
N_POINTSpolytopeproperty of PolytopeGeometry
N_POINTSfanproperty of PolyhedralComplexGeometry
N_POINTSfanproperty of SubdivisionOfPointsGeometry
N_POINTS_GENERATORSpolytopeproperty of Polytopeno category
N_POINTS_GENERATORSfanproperty of PolyhedralComplexSymmetry
N_POINTS_GENERATORSfanproperty of PolyhedralComplexSymmetry
N_POLYTOPESfanproperty of PolyhedralComplexCombinatorics
n_poset_homomorphisms(Graph<Directed> P, Graph<Directed> Q)topazFunctionsCombinatorics
N_RAY_FACET_INCpolytopeproperty of ConeCombinatorics
N_RAY_ORBITSfanproperty of PolyhedralFanSymmetry
N_RAYSpolytopeproperty of ConeCombinatorics
N_RAYSfanproperty of PolyhedralFanGeometry
N_RAYS_GENERATORSgroupproperty of ActionSymmetry
N_REPRESENTATIVE_CERTIFIERSpolytopeproperty of Polytopeno category
N_REPRESENTATIVE_CORE_POINTSpolytopeproperty of Polytopeno category
N_RIDGESpolytopeproperty of ConeCombinatorics
N_SIMPLICESpolytopeproperty of QuotientSpaceCombinatorics
N_SITESpolytopeproperty of VoronoiPolyhedronno category
N_STRONG_GENERATORSgroupproperty of PermutationActionno category
N_SYMMETRIESfanproperty of PolyhedralFanSymmetry
N_UNIMODULARtopazproperty of GeometricSimplicialComplexno category
N_VARIABLESidealproperty of IdealCommutative algebra
n_vars()commonmethod of Polynomialno category
n_varscommonmethod of UniPolynomialno category
N_VECTORSpolytopeproperty of VectorConfigurationGeometry
N_VECTORSfanproperty of SubdivisionOfVectorsGeometry
N_VERTEX_FACET_INCpolytopeproperty of PolytopeCombinatorics
N_VERTICESpolytopeproperty of PolytopeCombinatorics
N_VERTICEStopazproperty of SimplicialComplexCombinatorics
N_VERTICESfanproperty of PolyhedralComplexGeometry
n_vertices()commonmethod of FacetListno category
N_VERTICES_GENERATORSpolytopeproperty of Polytopeno category
N_VERTICES_GENERATORSfanproperty of PolyhedralComplexSymmetry
N_VERTICES_GENERATORSfanproperty of PolyhedralComplexSymmetry
N_VERTICES_ORBITSfanproperty of PolyhedralComplexSymmetry
nearest_point(Polytope<Addition,Scalar> C, Vector<TropicalNumber<Addition,Scalar>> x)tropicalFunctionsTropical operations
NEFfultonproperty of TDivisorAlgebraic Geometry
NEF_CONEfultonproperty of NormalToricVarietyAlgebraic Geometry
NEIGHBOR_FACETS_CYCLIC_NORMALpolytopeproperty of ConeVisualization
NEIGHBOR_RAYS_CYCLIC_NORMALpolytopeproperty of ConeVisualization
NEIGHBOR_VERTICES_CYCLIC_NORMALpolytopeproperty of PolytopeVisualization
neighborhood_graph(Matrix<Rational> D, Rational delta)graphFunctionsProducing a graph
NEIGHBORLINESSpolytopeproperty of PolytopeCombinatorics
NEIGHBORLYpolytopeproperty of PolytopeCombinatorics
neighborly_cubical(Int d, Int n)polytopeFunctionsProducing a polytope from scratch
NESTEDmatroidproperty of MatroidAdvanced properties
NESTED_COEFFICIENTStropicalproperty of MatroidRingCycleMatroid data
nested_matroidstropicalmethod of MatroidRingCycleMatroid data
NESTED_PRESENTATIONStropicalproperty of MatroidRingCycleMatroid data
nestedOPGraph(Vector gen_point, Matrix points, Matrix lattice_points, Group group, Bool verbose)polytopeFunctionsSymmetry
newton(Polynomial p)polytopeFunctionsProducing a polytope from scratch
NN_CRUST_GRAPHpolytopeproperty of VoronoiPolyhedronno category
NN_GRAPHpolytopeproperty of VoronoiPolyhedronno category
NODE_DEGREEStropicalproperty of RationalCurveCombinatorics
NODE_DEGREESgraphproperty of Graphno category
node_edge_incidences<Coord>(Graph graph)commonFunctionsGraph Operations
node_exists(Int node)commonmethod of Graphno category
NODE_IN_DEGREESgraphproperty of Graphno category
NODE_LABELSgraphproperty of Graphno category
NODE_OUT_DEGREESgraphproperty of Graphno category
node_out_of_range(Int node)commonmethod of Graphno category
NodeHashMap<Dir, Element>commonProperty_typesGraph Types
NodeMap<Dir, Element>commonProperty_typesGraph Types
nodes()commonmethod of Graphno category
nodes(Graph graph)commonFunctionsGraph Operations
NODES_BY_LEAVEStropicalproperty of RationalCurveCombinatorics
NODES_BY_SETStropicalproperty of RationalCurveCombinatorics
nodes_of_dim(Int d)polytopemethod of ConeCombinatorics
nodes_of_dimtopazmethod of SimplicialComplexno category
nodes_of_dim(Int d)fanmethod of PolyhedralFanCombinatorics
nodes_of_dimtropicalmethod of CovectorLatticeCombinatorics
nodes_of_dim_range(Int d1, Int d2)polytopemethod of ConeCombinatorics
nodes_of_dim_rangetopazmethod of SimplicialComplexno category
nodes_of_dim_range(Int d1, Int d1)fanmethod of PolyhedralFanCombinatorics
nodes_of_dim_rangetropicalmethod of CovectorLatticeCombinatorics
nodes_of_rank(Int r)graphmethod of LatticeCombinatorics
nodes_of_rank(Int r)graphmethod of InverseRankMapCombinatorics
nodes_of_rank_range(Int r1, Int r2)graphmethod of LatticeCombinatorics
nodes_of_rank_range(Int r1, Int r2)graphmethod of InverseRankMapCombinatorics
NON_BASESmatroidproperty of MatroidAxiom systems
non_fano_matroid()matroidFunctionsProducing a matroid from scratch
non_p8_matroid()matroidFunctionsProducing a matroid from scratch
non_pappus_matroid()matroidFunctionsProducing a matroid from scratch
NON_SATURATEDpolytopeproperty of SlackIdealno category
non_vamos_matroid()matroidFunctionsProducing a matroid from scratch
NON_VERTICESpolytopeproperty of PointConfigurationGeometry
NonsequentialgraphProperty_typesArtificial
NonSymmetriccommonProperty_typesArtificial
NOP_GRAPHpolytopeproperty of Polytopeno category
norm(Vector<TropicalNumber<Addition,Scalar>> v)tropicalFunctionsTropical operations
NORMALpolytopeproperty of PolytopeLattice points in cones
normal_cone(PointConfiguration p, Set<Int> F)polytopeFunctionsProducing a cone
normal_cone(Cone p, Set<Int> F)polytopeFunctionsProducing a cone
normal_fan<Coord>(Polytope p)fanFunctionsProducing a fan
normaliz_compute(Cone C)polytopeFunctionsGeometry
normalized(Matrix<Float> A)commonFunctionsLinear Algebra
NormalToricVarietyfultonObjectsno category
null_space(Matrix A)commonFunctionsLinear Algebra
null_space(Vector b)commonFunctionsLinear Algebra
null_space_integer(Matrix A)commonFunctionsLinear Algebra
numbered(Vector data)commonFunctionsFormatting
numerator(Rational a)commonFunctionsArithmetic
numerator(RationalFunction f)commonFunctionsArithmetic
numerator(PuiseuxFraction f)commonFunctionsArithmetic
NUMERATORtropicalproperty of RationalFunctionDefining morphisms and functions
o7_matroid()matroidFunctionsProducing a matroid from scratch
obliterate_extension(String path)coreFunctionsInteractive
occluding_cone(Cone P, Set F)polytopeFunctionsGeometry
octahedron()polytopeFunctionsProducing regular polytopes and their generalizations
ODD_SUBCOMPLEXtopazproperty of SimplicialComplexCombinatorics
on_colsgroupProperty_typesno category
on_containergroupProperty_typesno category
on_elementsgroupProperty_typesno category
on_nonhomog_colsgroupProperty_typesno category
on_nonhomog_containergroupProperty_typesno category
on_rowsgroupProperty_typesno category
ONE_RAYpolytopeproperty of ConeGeometry
ONE_VERTEXpolytopeproperty of PolytopeGeometry
ones_matrix<Element>(Int m, Int n)commonFunctionsLinear Algebra
ones_vector<Element>(Int d)commonFunctionsLinear Algebra
optimal_permutations(Matrix<TropicalNumber> matrix)tropicalFunctionsTropical operations
ORBIFOLDfultonproperty of NormalToricVarietyBasic properties
orbit<action_type>(Array G, Core::Object O)groupFunctionsOrbits
orbit(Group G, Any C)groupFunctionsOrbits
orbit<Scalar>(Array<Matrix<Scalar>> G, Vector<Scalar> V)groupFunctionsOrbits
orbit_complex(PolyhedralComplex input_complex, Array<Array<Int>> gens)fanFunctionsSymmetry
orbit_complex(PolyhedralFan input_fan, PermutationAction a)fanFunctionsSymmetry
orbit_fan(PolyhedralFan input_fan, Array<Array<Int>> gens)fanFunctionsSymmetry
orbit_fan<Scalar>(PolyhedralFan input_fan, Array<Matrix<Scalar>> gens)fanFunctionsSymmetry
orbit_permlib(Group G, Set S)groupFunctionsOrbits
orbit_permlib(Group G, Set<Set> S)groupFunctionsOrbits
orbit_polytope(Vector input_point, PermutationAction a)polytopeFunctionsSymmetry
orbit_polytope(Matrix input_points, PermutationAction a)polytopeFunctionsSymmetry
orbit_polytope(Vector input_point, Group g)polytopeFunctionsSymmetry
orbit_polytope(Matrix input_points, Group g)polytopeFunctionsSymmetry
orbit_polytope(Matrix input_points, Array<Array<Int>> gens)polytopeFunctionsSymmetry
orbit_polytope<Scalar>(Vector input_point, MatrixActionOnVectors a)polytopeFunctionsSymmetry
orbit_polytope<Scalar>(Matrix<Scalar> input_points, MatrixActionOnVectors<Scalar> a)polytopeFunctionsSymmetry
ORBIT_REPRESENTATIVE_LABELSgroupproperty of ActionSymmetry
ORBIT_REPRESENTATIVESgroupproperty of ActionSymmetry
orbit_representatives(Array<GeneratorType> G)groupFunctionsOrbits
orbit_reps_and_sizes<Container>(Array<Array<Int>> generators, Container S)groupFunctionsSymmetry
ORBIT_SIZESgroupproperty of ActionSymmetry
ORBITSgroupproperty of ActionSymmetry
ORBITS_F_VECTORfanproperty of PolyhedralFanSymmetry
orbits_in_orbit_order(PermutationAction a, Matrix M)groupFunctionsOrbits
orbits_of_action(PermutationAction a)groupFunctionsOrbits
orbits_of_coordinate_action(PermutationAction a, Matrix<Scalar> M)groupFunctionsOrbits
orbits_of_induced_action(PermutationAction a, IncidenceMatrix I)groupFunctionsOrbits
ORDERgroupproperty of GroupSymmetry
ORDER_MATRIXidealproperty of GroebnerInput properties
ORDER_NAMEidealproperty of GroebnerInput properties
ORDER_VECTORidealproperty of GroebnerInput properties
ORIENTATIONtopazproperty of SimplicialComplexTopology
orientation()commonmethod of TropicalNumberno category
orientationcommonmethod of Maxno category
orientationcommonmethod of Minno category
ORIENTED_PSEUDO_MANIFOLDtopazproperty of SimplicialComplexTopology
ORIGINpolytopeproperty of AffineLatticeno category
ORTH_LINEALITY_SPACEfanproperty of PolyhedralFanGeometry
orthant_subdivision<Addition>(Vector<Rational> point, Int chart, Integer weight)tropicalFunctionsCreation functions for specific cycles
orthantify(Polytope P, Int v)polytopeFunctionsTransformations
ortho_project(Polytope p)polytopeFunctionsSymmetry
orthonormal_col_basis(Matrix M)polytopeFunctionsTransformations
orthonormal_row_basis(Matrix M)polytopeFunctionsTransformations
out_adjacent_nodes(Int node)commonmethod of Graphno category
out_degree(Int node)commonmethod of Graphno category
out_edges(Int node)commonmethod of Graphno category
OUTER_DESCRIPTION()polytopemethod of PolytopeGeometry
outitudes(Array<Array<Int>> dcel_data)topazFunctionsOther
outitudes(String surface)topazFunctionsOther
p()commonmethod of ExtGCDno category
p7_matroid()matroidFunctionsProducing a matroid from scratch
p8_matroid()matroidFunctionsProducing a matroid from scratch
P_RESOLUTIONfultonproperty of VersalComponentCombinatorics
Pair<First, Second>commonProperty_typesBasic Types
pappus_matroid()matroidFunctionsProducing a matroid from scratch
parallel_extension(Matroid m_1, Int e_1, Matroid m_2, Int e_2)matroidFunctionsProducing a matroid from matroids
parallel_extension(Matroid m, Int e)matroidFunctionsProducing a matroid from matroids
partition_representatives(Array<Array<Int>> gens, Set<Int> S)groupFunctionsSymmetry
PATCHWORKtropicalproperty of HypersurfaceCombinatorics
PatchworktropicalObjectsno category
path_graph(Int n)graphFunctionsProducing a graph
PAVINGmatroidproperty of MatroidAdvanced properties
PENNER_COORDINATEStopazproperty of HyperbolicSurfaceno category
perles_irrational_8_polytope()polytopeFunctionsProducing a polytope from scratch
PermBasecommonObjectsCombinatorics
permutahedron(Int d)polytopeFunctionsProducing a polytope from scratch
PERMUTATIONcommonproperty of PermBaseno category
PERMUTATION_ACTIONgroupproperty of GroupSymmetry
permutation_cycle_lengths(Array<Int> p)commonFunctionsCombinatorics
permutation_cycles(Array<Int> p)commonFunctionsCombinatorics
permutation_matrix<Scalar>(Array<Int> p)commonFunctionsCombinatorics
permutation_order(Array<Int> p)commonFunctionsCombinatorics
permutation_sign(Array<Int> p)commonFunctionsCombinatorics
PERMUTATION_TO_ORBIT_ORDERgroupproperty of ActionSymmetry
PermutationActiongroupObjectsno category
PermutationActionOnSetsgroupObjectsno category
permute_inv_nodescommonmethod of Graphno category
permute_nodescommonmethod of Graphno category
permutedcommonmethod of Pluckerno category
persistent_homology(Filtration<Matrix<Scalar>> F, Int i, Int p, Int k)topazFunctionsOther
persistent_homology(Filtration F)topazFunctionsOther
perturb_matrix(Matrix M, Float eps, Bool not_hom)commonFunctionsUtilities
perturbed_long_and_winding(Int r)polytopeFunctionsProducing a polytope from scratch
petersen()graphFunctionsProducing a graph
pg23_matroid()matroidFunctionsProducing a matroid from scratch
piecewise_divisor(Cycle<Addition> F, IncidenceMatrix cones, Vector<Integer> coefficients)tropicalFunctionsDivisor computation
PIF_CYCLIC_NORMALpolytopeproperty of PointConfigurationVisualization
pile(Vector<Int> sizes)polytopeFunctionsProducing a polytope from scratch
pl_homeomorphic(SimplicialComplex complex1, SimplicialComplex complex2)topazFunctionsComparing
placing_triangulation(Matrix Points)polytopeFunctionsTriangulations, subdivisions and volume
planar_net(Polytope p)fanFunctionsProducing a fan
PlanarNet<Scalar>fanObjectsGeometry
platonic_solid(String s)polytopeFunctionsProducing regular polytopes and their generalizations
Plucker<Scalar>commonProperty_typesAlgebraic Types
pluecker(Matrix V)commonFunctionsLinear Algebra
pluecker_ideal(Int d, Int n)idealFunctionsProducing an ideal from scratch
point_collection<Addition>(Matrix<Rational> points, Vector<Integer> weights)tropicalFunctionsCreation functions for specific cycles
point_functions<Addition>(Vector<Rational> A)tropicalFunctionsIntersection theory
POINT_LABELSpolytopeproperty of PointConfigurationVisualization
POINT_LABELSpolytopeproperty of PolytopeVisualization
POINT_LABELSfanproperty of PolyhedralComplexVisualization
POINT_LABELSfanproperty of SubdivisionOfPointsVisualization
PointConfiguration<Scalar>polytopeObjectsno category
POINTEDpolytopeproperty of ConeGeometry
POINTEDpolytopeproperty of PolytopeGeometry
POINTEDfanproperty of PolyhedralFanGeometry
pointed_part(Polytope P)polytopeFunctionsProducing a polytope from polytopes
POINTSpolytopeproperty of PointConfigurationInput property
POINTSpolytopeproperty of PolytopeInput property
POINTSfanproperty of PolyhedralComplexInput property
POINTSfanproperty of SubdivisionOfPointsGeometry
POINTStropicalproperty of PolytopeGeometry
points2hypersurface(Matrix<TropicalNumber<Addition>> points)tropicalFunctionsProducing a tropical hypersurface
points2metric(Matrix points)polytopeFunctionsTriangulations, subdivisions and volume
POINTS_ACTIONpolytopeproperty of PointConfigurationSymmetry
POINTS_ACTIONpolytopeproperty of PolytopeSymmetry
POINTS_ACTIONfanproperty of PolyhedralComplexSymmetry
POINTS_GENERATORSpolytopeproperty of Polytopeno category
POINTS_GENERATORSfanproperty of PolyhedralComplexSymmetry
POINTS_GENERATORSfanproperty of PolyhedralComplexSymmetry
POINTS_IN_FACETSpolytopeproperty of PolytopeGeometry
points_in_pseudovertices(Matrix<TropicalNumber<Addition,Scalar>> points, Matrix<Scalar> pseudovertices)tropicalFunctionsOther
POINTS_ORBITSpolytopeproperty of PointConfigurationSymmetry
POINTS_REPSfanproperty of PolyhedralComplexSymmetry
POLAR_SMOOTHpolytopeproperty of PolytopeLattice points in cones
polarize(Cone C)polytopeFunctionsTransformations
polarized_toric_variety(Polytope<Rational> P, String name)fultonFunctionsProducing a normal toric variety
poly2lp(Polytope P, LinearProgram LP, Bool maximize, String file)polytopeFunctionsOptimization
poly2metric(Polytope P)polytopeFunctionsTriangulations, subdivisions and volume
poly2porta(Polytope<Rational> p, String file)polytopeFunctionsOptimization
POLYHEDRAL_COMPLEXfanproperty of SubdivisionOfPointsGeometry
PolyhedralComplex<Scalar>fanObjectsGeometry
PolyhedralFan<Scalar>fanObjectsGeometry
Polynomial<Coefficient, Exponent>commonProperty_typesAlgebraic Types
POLYNOMIALtropicalproperty of LinesInCubicDefining properties
POLYNOMIALtropicalproperty of Hypersurfaceno category
POLYTOPAL_SUBDIVISION(Int index)polytopemethod of Visual::PointConfigurationno category
POLYTOPAL_SUBDIVISIONpolytopeproperty of PointConfigurationTriangulation and volume
POLYTOPAL_SUBDIVISIONpolytopeproperty of PolytopeTriangulation and volume
POLYTOPEmatroidproperty of MatroidAdvanced properties
Polytope<Scalar>polytopeObjectsno category
POLYTOPEfanproperty of PlanarNetGeometry
polytope(Int i)fanmethod of PolyhedralComplexGeometry
Polytope<Addition, Scalar>tropicalObjectsno category
POLYTOPE_COVECTOR_DECOMPOSITIONtropicalproperty of PolytopeCombinatorics
POLYTOPE_IN_STD_BASIS(Polytope<Rational> P)polytopemethod of PolytopeLattice points in cones
POLYTOPE_MAXIMAL_COVECTOR_CELLStropicalproperty of PolytopeCombinatorics
POLYTOPE_MAXIMAL_COVECTORStropicalproperty of PolytopeCombinatorics
polytope_of_divisor_classfultonFunctionsCombinatorics
polytope_subdivision_as_complex(Int chart)tropicalmethod of PolytopeGeometry
POLYTOPESfanproperty of PolyhedralComplexCombinatorics
POLYTOPES_ORBIT_SIZESfanproperty of PolyhedralComplexSymmetry
POLYTOPES_REPSfanproperty of PolyhedralComplexSymmetry
porta2poly(String file)polytopeFunctionsOptimization
poset_by_inclusion(Array<T> P)topazFunctionsOther
poset_homomorphisms(Graph<Directed> P, Graph<Directed> Q)topazFunctionsProducing a new simplicial complex from others
POSITIVEpolytopeproperty of ConeGeometry
POSITIVEpolytopeproperty of VectorConfigurationGeometry
positive_circuits(Polytope or, Set<Int> S)polytopeFunctionsTriangulations, subdivisions and volume
positroid_from_decorated_permutation(Array<Int> perm, Set<Int> loops)matroidFunctionsProducing a matroid from other objects
postscript(Visual::Object vis_obj …)commonFunctionsVisualization
povray(Visual::Object vis_obj …)commonFunctionsVisualization
POWERtropicalproperty of RationalFunctionDefining morphisms and functions
PowerSet<Element>commonProperty_typesSet Types
prefer(String label_expression)coreFunctionsBasic
prefer_now(String label_expression)coreFunctionsBasic
PRIMARYidealproperty of IdealCommutative algebra
PRIMARY_DECOMPOSITIONidealproperty of IdealCommutative algebra
PRIMEidealproperty of IdealCommutative algebra
primitive(Vector v)commonFunctionsLattice Tools
primitive(Matrix M)commonFunctionsLattice Tools
primitive_affine(Vector v)commonFunctionsLattice Tools
primitive_affine(Matrix M)commonFunctionsLattice Tools
PRINCIPALfultonproperty of TDivisorAlgebraic Geometry
principal_extension(Matroid M, Set<Int> F)matroidFunctionsProducing a matroid from matroids
principal_lift(Matroid M, Set<Int> F)matroidFunctionsProducing a matroid from matroids
principal_solution(Matrix<TropicalNumber> A, Vector<TropicalNumber> b)tropicalFunctionsTropical operations
principal_truncation(Matroid M, Set<Int> F)matroidFunctionsProducing a matroid from matroids
print_constraints(Cone<Scalar> C)polytopeFunctionsOptimization
print_constraints(Matrix<Scalar> M)commonFunctionsFormatting
print_face_lattice(IncidenceMatrix VIF, Bool dual)polytopeFunctionsGeometry
print_ordered(Matrix m)commonmethod of Polynomialno category
print_ordered(Exponent x)commonmethod of UniPolynomialno category
prism(Polytope P, Scalar z1, Scalar z2)polytopeFunctionsProducing a polytope from polytopes
product(Polytope P1, Polytope P2)polytopeFunctionsProducing a polytope from polytopes
product(PolyhedralFan F1, PolyhedralFan F2)fanFunctionsProducing a fan
PROJ_DICTIONARYtopazproperty of SimplicialComplexCombinatorics
PROJ_ORBITStopazproperty of SimplicialComplexCombinatorics
project()commonmethod of Polynomialno category
project_full<Scalar>(VectorConfiguration P)polytopeFunctionsProducing a vector configuration
project_full(Cone P)polytopeFunctionsProducing a polytope from polytopes
project_full(PolyhedralFan P)fanFunctionsProducing a fan
project_out<Scalar>(VectorConfiguration V, Matrix B)polytopeFunctionsProducing a vector configuration
project_out<Scalar>(Cone C, Matrix B)polytopeFunctionsProducing a vector configuration
project_to<Scalar>(VectorConfiguration V, Matrix B)polytopeFunctionsProducing a vector configuration
project_to<Scalar>(Cone C, Matrix B)polytopeFunctionsProducing a vector configuration
project_to_orthogonal_complement(Matrix points, Matrix orthogonal)commonFunctionsLinear Algebra
PROJECTED_EQUATIONSpolytopeproperty of SymmetrizedCocircuitEquationsno category
projection<Scalar>(VectorConfiguration P, Array<Int> indices)polytopeFunctionsProducing a vector configuration
projection(Cone P, Array<Int> indices)polytopeFunctionsProducing a polytope from polytopes
PROJECTIONfultonproperty of RationalDivisorClassGroupAlgebraic Geometry
projection_map<Addition>(Int n, Set<Int> s)tropicalFunctionsCreation function for specific morphisms and functions
projection_map(Int n, Int m)tropicalFunctionsCreation function for specific morphisms and functions
projection_preimage<Scalar>(Array<VectorConfiguration> P_Array)polytopeFunctionsProducing a vector configuration
projection_preimage(Array<Cone> P_Array)polytopeFunctionsProducing a polytope from polytopes
PROJECTIVEfultonproperty of NormalToricVarietyAlgebraic Geometry
PROJECTIVE_AMBIENT_DIMtropicalproperty of CycleAffine and projective coordinates
PROJECTIVE_AMBIENT_DIMtropicalproperty of PolytopeGeometry
PROJECTIVE_CODIMENSIONtropicalproperty of CycleAffine and projective coordinates
PROJECTIVE_DIMtropicalproperty of CycleAffine and projective coordinates
projective_plane(Integer p)matroidFunctionsProducing a matroid from scratch
projective_space(Int d)fultonFunctionsProducing a normal toric variety
projective_torus<Addition>(Int n, Integer w)tropicalFunctionsCreation functions for specific cycles
PROJECTIVE_VERTICEStropicalproperty of CycleInput property
PropagatedPolytope<Scalar>polytopeObjectsno category
properties()coremethod of Core::Objectno category
pseudo_delpezzo(Int d, Scalar scale)polytopeFunctionsProducing a polytope from scratch
PSEUDO_MANIFOLDtopazproperty of SimplicialComplexTopology
PSEUDO_REGULARfanproperty of PolyhedralFanGeometry
pseudopower(Integer l, Int i)polytopeFunctionsOther
PSEUDOVERTEX_COARSE_COVECTORStropicalproperty of PolytopeCombinatorics
PSEUDOVERTEX_COVECTORStropicalproperty of PolytopeCombinatorics
PSEUDOVERTICEStropicalproperty of PolytopeGeometry
psi_class<Addition>(Int n, Int i)tropicalFunctionsModuli of rational curves
psi_product<Addition>(Int n, Vector<Int> exponents)tropicalFunctionsModuli of rational curves
PuiseuxFraction<MinMax, Coefficient, Exponent>commonProperty_typesAlgebraic Types
pullback(Morphism m, RationalFunction r)tropicalFunctionsIntersection theory
PUREtopazproperty of SimplicialComplexCombinatorics
PUREfanproperty of PolyhedralFanCombinatorics
pyramid(Polytope P, Scalar z)polytopeFunctionsProducing a polytope from polytopes
PYRAMID_LATTICEfultonproperty of VersalComponentCombinatorics
Qfultonproperty of CyclicQuotientInput properties
q()commonmethod of ExtGCDno category
q3_gf3_star_matroid()matroidFunctionsProducing a matroid from scratch
q8_matroid()matroidFunctionsProducing a matroid from scratch
Q_CARTIERfultonproperty of TDivisorAlgebraic Geometry
Q_GORENSTEINfanproperty of PolyhedralFanToric Varieties
Q_GORENSTEIN_CONEpolytopeproperty of ConeLattice points in cones
Q_GORENSTEIN_CONE_INDEXpolytopeproperty of ConeLattice points in cones
Q_GORENSTEIN_INDEXfanproperty of PolyhedralFanToric Varieties
qr_decomp(Matrix<Float> M)commonFunctionsLinear Algebra
QuadraticExtension<Field>commonProperty_typesBasic Types
quarter_turn_manifold()polytopeFunctionsQuotient spaces
quot()commonmethod of Divno category