Index

_

__call__() (algebraixlib.mathobjects.mathobject.MathObject method) (algebraixlib.mathobjects.set.Set method) __contains__() (algebraixlib.mathobjects.multiset.Multiset method) (algebraixlib.mathobjects.set.Set method) __eq__() (algebraixlib.mathobjects.atom.Atom method) (algebraixlib.mathobjects.couplet.Couplet method) (algebraixlib.mathobjects.mathobject.MathObject method) (algebraixlib.mathobjects.multiset.Multiset method) (algebraixlib.mathobjects.set.Set method) (algebraixlib.structure.Structure method) (algebraixlib.undef.Undef method) __getitem__() (algebraixlib.mathobjects.mathobject.MathObject method) (algebraixlib.mathobjects.multiset.Multiset method) (algebraixlib.mathobjects.set.Set method) __hash__ (algebraixlib.undef.Undef attribute) __hash__() (algebraixlib.mathobjects.atom.Atom method) (algebraixlib.mathobjects.couplet.Couplet method) (algebraixlib.mathobjects.mathobject.MathObject method) (algebraixlib.mathobjects.multiset.Multiset method) (algebraixlib.mathobjects.set.Set method) (algebraixlib.structure.CartesianProduct method) (algebraixlib.structure.GenesisSetA method) (algebraixlib.structure.GenesisSetM method) (algebraixlib.structure.GenesisSetN method) (algebraixlib.structure.PowerSet method) (algebraixlib.structure.Structure method) (algebraixlib.structure.Union method)

__le__() (algebraixlib.structure.Structure method) __ne__() (algebraixlib.mathobjects.atom.Atom method) (algebraixlib.mathobjects.couplet.Couplet method) (algebraixlib.mathobjects.mathobject.MathObject method) (algebraixlib.mathobjects.multiset.Multiset method) (algebraixlib.mathobjects.set.Set method) (algebraixlib.structure.Structure method) (algebraixlib.undef.Undef method) __new__() (algebraixlib.mathobjects.atom.Atom static method) (algebraixlib.undef.Undef static method) (algebraixlib.util.html.DataAlgebraHtmlDescriptor static method) __repr__() (algebraixlib.mathobjects.atom.Atom method) (algebraixlib.mathobjects.couplet.Couplet method) (algebraixlib.mathobjects.mathobject.MathObject method) (algebraixlib.mathobjects.multiset.Multiset method) (algebraixlib.mathobjects.set.Set method) (algebraixlib.structure.CartesianProduct method) (algebraixlib.structure.GenesisSetA method) (algebraixlib.structure.GenesisSetM method) (algebraixlib.structure.GenesisSetN method) (algebraixlib.structure.PowerSet method) (algebraixlib.structure.Structure method) (algebraixlib.structure.Union method) (algebraixlib.undef.Undef method) (algebraixlib.util.html.DataAlgebraHtmlDescriptor method) __str__() (algebraixlib.mathobjects.atom.Atom method) (algebraixlib.mathobjects.couplet.Couplet method) (algebraixlib.mathobjects.mathobject.MathObject method) (algebraixlib.mathobjects.multiset.Multiset method) (algebraixlib.mathobjects.set.Set method) (algebraixlib.structure.CartesianProduct method) (algebraixlib.structure.GenesisSetA method) (algebraixlib.structure.GenesisSetM method) (algebraixlib.structure.GenesisSetN method) (algebraixlib.structure.PowerSet method) (algebraixlib.structure.Structure method) (algebraixlib.structure.Union method) (algebraixlib.undef.Undef method)

A

absolute absolute clan absolute couplet absolute ground set absolute multiclan absolute multiset absolute relation absolute set add() (algebraixlib.algebras.multisets.Algebra static method) (in module algebraixlib.algebras.multisets) algebra Algebra (class in algebraixlib.algebras.clans) (class in algebraixlib.algebras.couplets) (class in algebraixlib.algebras.multiclans) (class in algebraixlib.algebras.multisets) (class in algebraixlib.algebras.relations) (class in algebraixlib.algebras.sets) algebra of clans algebra of couplets algebra of multiclans algebra of multisets algebra of relations algebra of sets algebraixlib (module) algebraixlib.algebras (module) algebraixlib.algebras.clans (module) algebraixlib.algebras.couplets (module) algebraixlib.algebras.multiclans (module) algebraixlib.algebras.multisets (module) algebraixlib.algebras.properties (module) algebraixlib.algebras.relations (module) algebraixlib.algebras.sets (module) algebraixlib.extension (module) algebraixlib.io (module) algebraixlib.io.csv (module)

algebraixlib.io.json (module) algebraixlib.io.mojson (module) algebraixlib.io.rdf (module) algebraixlib.io.xml (module) algebraixlib.mathobjects (module) algebraixlib.mathobjects.atom (module) algebraixlib.mathobjects.couplet (module) algebraixlib.mathobjects.mathobject (module) algebraixlib.mathobjects.multiset (module) algebraixlib.mathobjects.set (module) algebraixlib.mathobjects.utils (module) algebraixlib.partition (module) algebraixlib.structure (module) algebraixlib.undef (module) algebraixlib.util (module) algebraixlib.util.html (module) algebraixlib.util.latexprinter (module) algebraixlib.util.mathobjectprinter (module) algebraixlib.util.miscellaneous (module) algebraixlib.util.rdf (module) algebraixlib.util.test (module) as_html_handle_basic_parameter() (in module algebraixlib.util.html) as_html_handle_data_algebra() (in module algebraixlib.util.html) assert_mathobjects() (in module algebraixlib.util.test) atom Atom (class in algebraixlib.mathobjects.atom) atom_to_latex() (in module algebraixlib.util.latexprinter) auto_convert() (in module algebraixlib.mathobjects.atom)

B

base_set (algebraixlib.structure.PowerSet attribute) big_intersect() (in module algebraixlib.algebras.multisets) (in module algebraixlib.algebras.sets) big_union() (in module algebraixlib.algebras.multisets) (in module algebraixlib.algebras.sets) bijective binary extension binary intersection binary multi-extension

binary operation binary relation binary union binary_extend() (in module algebraixlib.extension) binary_multi_extend() (in module algebraixlib.extension) build_descriptors_from_math_obj() (in module algebraixlib.util.html)

C

cache_absolute() (algebraixlib.mathobjects.mathobject.MathObject method) cache_clan() (algebraixlib.mathobjects.mathobject.MathObject method) cache_functional() (algebraixlib.mathobjects.mathobject.MathObject method) cache_multiclan() (algebraixlib.mathobjects.mathobject.MathObject method) cache_reflexive() (algebraixlib.mathobjects.mathobject.MathObject method) cache_regular() (algebraixlib.mathobjects.mathobject.MathObject method) cache_relation() (algebraixlib.mathobjects.mathobject.MathObject method) cache_right_functional() (algebraixlib.mathobjects.mathobject.MathObject method) cache_right_regular() (algebraixlib.mathobjects.mathobject.MathObject method) cache_symmetric() (algebraixlib.mathobjects.mathobject.MathObject method) cache_transitive() (algebraixlib.mathobjects.mathobject.MathObject method) cached_absolute (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_clan (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_functional (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_absolute (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_clan (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_functional (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_multiclan (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_not_absolute (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_not_clan (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_not_functional (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_not_multiclan (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_not_reflexive (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_not_regular (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_not_relation (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_not_right_functional (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_not_right_regular (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_not_symmetric (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_not_transitive (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_reflexive (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_regular (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_relation (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_right_functional (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_right_regular (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_symmetric (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_is_transitive (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_multiclan (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute)

cached_reflexive (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_regular (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_relation (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_right_functional (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_right_regular (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_symmetric (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) cached_transitive (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) CacheStatus (class in algebraixlib.mathobjects.utils) cardinality (algebraixlib.mathobjects.multiset.Multiset attribute) (algebraixlib.mathobjects.set.Set attribute) Cartesian product CartesianProduct (class in algebraixlib.structure) chain_binary_operation() (in module algebraixlib.algebras.sets) clan clan diagonal colorize_output (algebraixlib.util.latexprinter.Config attribute) complement compose() (algebraixlib.algebras.clans.Algebra static method) (algebraixlib.algebras.couplets.Algebra static method) (algebraixlib.algebras.multiclans.Algebra static method) (algebraixlib.algebras.relations.Algebra static method) (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.couplets) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.relations) composition Config (class in algebraixlib.util.latexprinter) core() (in module algebraixlib.util.miscellaneous) couplet Couplet (class in algebraixlib.mathobjects.couplet) couplet_to_latex() (in module algebraixlib.util.latexprinter) create_simple_web_page() (in module algebraixlib.util.html) create_test_object() (in module algebraixlib.util.test) cross-functional union cross-intersection cross-left-functional union cross-right-functional union cross-substriction cross-superstriction cross-union cross_functional_union() (algebraixlib.algebras.clans.Algebra static method) (algebraixlib.algebras.multiclans.Algebra static method) (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.multiclans) cross_intersect() (algebraixlib.algebras.clans.Algebra static method) (algebraixlib.algebras.multiclans.Algebra static method) (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.multiclans) cross_right_functional_union() (algebraixlib.algebras.clans.Algebra static method) (algebraixlib.algebras.multiclans.Algebra static method) (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.multiclans) cross_union() (algebraixlib.algebras.clans.Algebra static method) (algebraixlib.algebras.multiclans.Algebra static method) (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.multiclans)

D

data (algebraixlib.mathobjects.multiset.Multiset attribute) (algebraixlib.mathobjects.set.Set attribute) (algebraixlib.structure.Union attribute) data_algebra_construct (algebraixlib.util.html.DataAlgebraHtmlDescriptor attribute) DataAlgebraHtmlDescriptor (class in algebraixlib.util.html) decode() (in module algebraixlib.io.mojson) default() (algebraixlib.io.mojson.ExportJson method) defined_at() (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.relations)

demultify() (in module algebraixlib.algebras.multisets) description_brief (algebraixlib.util.html.DataAlgebraHtmlDescriptor attribute) diag() (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.relations) diagonal difference

E

encode() (in module algebraixlib.io.mojson) end() (algebraixlib.util.miscellaneous.FunctionTimer method) (algebraixlib.util.miscellaneous.PerformanceTimer method) equivalence relation export_csv() (in module algebraixlib.io.csv)

export_table() (in module algebraixlib.io.rdf) ExportJson (class in algebraixlib.io.mojson) extension

F

fill_lefts() (in module algebraixlib.algebras.relations) finite intersection finite union from_bool() (algebraixlib.mathobjects.utils.CacheStatus static method) from_dict() (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.relations) from_set() (in module algebraixlib.algebras.clans)

function functional functional union functional_add() (in module algebraixlib.algebras.relations) functional_union() (algebraixlib.algebras.relations.Algebra static method) (in module algebraixlib.algebras.relations) FunctionTimer (class in algebraixlib.util.miscellaneous)

G

GenesisSetA (class in algebraixlib.structure) GenesisSetM (class in algebraixlib.structure) GenesisSetN (class in algebraixlib.structure) get_absolute_ground_set() (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.couplets) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.multisets) (in module algebraixlib.algebras.relations) (in module algebraixlib.algebras.sets) get_elapsed_time() (algebraixlib.util.miscellaneous.FunctionTimer method) (algebraixlib.util.miscellaneous.PerformanceTimer method) get_end_time (algebraixlib.util.miscellaneous.PerformanceTimer attribute) get_file_url() (in module algebraixlib.util.rdf) get_full_class_name() (in module algebraixlib.util.miscellaneous) get_ground_set() (algebraixlib.mathobjects.atom.Atom method) (algebraixlib.mathobjects.couplet.Couplet method) (algebraixlib.mathobjects.mathobject.MathObject method) (algebraixlib.mathobjects.multiset.Multiset method) (algebraixlib.mathobjects.set.Set method) (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.couplets) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.multisets) (in module algebraixlib.algebras.relations) (in module algebraixlib.algebras.sets) get_hash() (in module algebraixlib.util.miscellaneous) get_indent() (algebraixlib.util.miscellaneous.FunctionTimer static method) get_left() (in module algebraixlib.algebras.relations) get_left_set() (algebraixlib.mathobjects.mathobject.MathObject method) (algebraixlib.mathobjects.multiset.Multiset method) (algebraixlib.mathobjects.set.Set method) get_lefts() (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.relations) get_level() (algebraixlib.undef.RaiseOnUndef static method)

get_multiplicity() (algebraixlib.mathobjects.multiset.Multiset method) get_name() (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.couplets) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.multisets) (in module algebraixlib.algebras.relations) (in module algebraixlib.algebras.sets) get_powerset_level() (algebraixlib.structure.CartesianProduct method) (algebraixlib.structure.GenesisSetA method) (algebraixlib.structure.GenesisSetM method) (algebraixlib.structure.GenesisSetN method) (algebraixlib.structure.PowerSet method) (algebraixlib.structure.Structure method) (algebraixlib.structure.Union method) get_right() (in module algebraixlib.algebras.relations) get_right_set() (algebraixlib.mathobjects.mathobject.MathObject method) (algebraixlib.mathobjects.multiset.Multiset method) (algebraixlib.mathobjects.set.Set method) get_rights() (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.relations) get_rights_for_left() (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.relations) get_single_iter_elem() (in module algebraixlib.util.miscellaneous) get_start_time (algebraixlib.util.miscellaneous.PerformanceTimer attribute) get_test_file_name() (in module algebraixlib.util.test) get_test_file_path() (in module algebraixlib.util.test) get_variable() (in module algebraixlib.util.miscellaneous) graph ground set

H

has_element() (algebraixlib.mathobjects.multiset.Multiset method) (algebraixlib.mathobjects.set.Set method)

I

identity element import_csv() (in module algebraixlib.io.csv) import_graph() (in module algebraixlib.io.rdf) import_json() (in module algebraixlib.io.json) import_xml() (in module algebraixlib.io.xml) ImportJson (class in algebraixlib.io.mojson) input_title (algebraixlib.util.html.DataAlgebraHtmlDescriptor attribute) intersect() (algebraixlib.algebras.multisets.Algebra static method) (algebraixlib.algebras.sets.Algebra static method) (in module algebraixlib.algebras.multisets) (in module algebraixlib.algebras.sets) intersection iprint_latex() (in module algebraixlib.util.latexprinter) IS (algebraixlib.mathobjects.utils.CacheStatus attribute) is_absolute_graph() (in module algebraixlib.util.rdf) is_absolute_member() (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.couplets) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.multisets) (in module algebraixlib.algebras.relations) (in module algebraixlib.algebras.sets) is_absolute_triple() (in module algebraixlib.util.rdf) is_atom (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) is_bijective() (in module algebraixlib.algebras.properties) is_bool() (algebraixlib.mathobjects.utils.CacheStatus static method) is_couplet (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) is_empty (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.mathobjects.multiset.Multiset attribute) (algebraixlib.mathobjects.set.Set attribute) is_equivalence_relation() (in module algebraixlib.algebras.properties)

is_file_url() (in module algebraixlib.util.rdf) is_functional() (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.properties) (in module algebraixlib.algebras.relations) is_graph() (in module algebraixlib.util.rdf) is_mathobject_or_undef() (in module algebraixlib.mathobjects.mathobject) is_member() (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.couplets) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.multisets) (in module algebraixlib.algebras.relations) (in module algebraixlib.algebras.sets) is_member_or_undef() (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.couplets) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.multisets) (in module algebraixlib.algebras.relations) (in module algebraixlib.algebras.sets) is_multiset (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) IS_NOT (algebraixlib.mathobjects.utils.CacheStatus attribute) is_reflexive() (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.couplets) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.properties) (in module algebraixlib.algebras.relations) is_regular() (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.properties) is_right_functional() (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.properties) (in module algebraixlib.algebras.relations) is_right_regular() (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.properties) is_same() (algebraixlib.structure.CartesianProduct method) (algebraixlib.structure.GenesisSetA method) (algebraixlib.structure.GenesisSetM method) (algebraixlib.structure.GenesisSetN method) (algebraixlib.structure.PowerSet method) (algebraixlib.structure.Structure method) (algebraixlib.structure.Union method) is_set (algebraixlib.mathobjects.mathobject.MathObject attribute) (algebraixlib.undef.Undef attribute) is_subset() (algebraixlib.structure.CartesianProduct method) (algebraixlib.structure.GenesisSetA method) (algebraixlib.structure.GenesisSetM method) (algebraixlib.structure.GenesisSetN method) (algebraixlib.structure.PowerSet method) (algebraixlib.structure.Structure method) (algebraixlib.structure.Union method) is_subset_of() (algebraixlib.algebras.multisets.Algebra static method) (algebraixlib.algebras.sets.Algebra static method) (in module algebraixlib.algebras.multisets) (in module algebraixlib.algebras.sets) is_superset_of() (algebraixlib.algebras.multisets.Algebra static method) (algebraixlib.algebras.sets.Algebra static method) (in module algebraixlib.algebras.multisets) (in module algebraixlib.algebras.sets) is_symmetric() (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.properties) (in module algebraixlib.algebras.relations) is_transitive() (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.properties) (in module algebraixlib.algebras.relations) is_triple() (in module algebraixlib.util.rdf)

J

join() (in module algebraixlib.util.rdf)

L

lap() (algebraixlib.util.miscellaneous.FunctionTimer method) left (algebraixlib.mathobjects.couplet.Couplet attribute) (algebraixlib.structure.CartesianProduct attribute) left component left set left-functional

left-functional union left-regular lhs-cross-functional union lhs-cross-left-functional union lhs_cross_functional_union() (algebraixlib.algebras.clans.Algebra static method) (in module algebraixlib.algebras.clans)

M

make_couplet() (in module algebraixlib.mathobjects.couplet) make_couplet_unchecked() (in module algebraixlib.mathobjects.couplet) make_labeled_partition() (in module algebraixlib.partition) make_or_raise_undef() (in module algebraixlib.undef) make_or_raise_undef2() (in module algebraixlib.undef) make_set() (in module algebraixlib.mathobjects.set) make_set_unchecked() (in module algebraixlib.mathobjects.set) make_triple() (in module algebraixlib.util.rdf) make_undef() (in module algebraixlib.undef) match_and_project() (in module algebraixlib.util.rdf) math_object_as_html() (in module algebraixlib.util.html) math_object_to_latex() (in module algebraixlib.util.latexprinter) MathObject (class in algebraixlib.mathobjects.mathobject) minus() (algebraixlib.algebras.multisets.Algebra static method) (algebraixlib.algebras.sets.Algebra static method) (in module algebraixlib.algebras.multisets) (in module algebraixlib.algebras.sets) mo_to_str() (in module algebraixlib.util.mathobjectprinter)

mset_to_latex() (in module algebraixlib.util.latexprinter) multi-cross-intersection multi-cross-substriction multi-cross-superstriction multi-cross-union multiclan multiclan_to_listgen() (in module algebraixlib.algebras.multiclans) multify() (in module algebraixlib.algebras.sets) multiplicity multiset Multiset (class in algebraixlib.mathobjects.multiset) multiset addition multiset difference multiset intersection multiset union

N

N_A (algebraixlib.mathobjects.utils.CacheStatus attribute)

O

object_hook_f() (in module algebraixlib.io.mojson) open_webpage_from_html_str() (in module algebraixlib.util.miscellaneous)

order_slice() (in module algebraixlib.algebras.multiclans) order_slice_to_listgen() (in module algebraixlib.algebras.multiclans)

P

partition partition() (in module algebraixlib.partition) pattern_match() (in module algebraixlib.util.rdf) PerformanceTimer (class in algebraixlib.util.miscellaneous) power set power_set() (in module algebraixlib.algebras.sets)

power_up() (in module algebraixlib.algebras.sets) PowerSet (class in algebraixlib.structure) print() (algebraixlib.util.miscellaneous.FunctionTimer method) print_var() (in module algebraixlib.util.miscellaneous) project() (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.multiclans) projection

R

raise_if_not_mathobject() (in module algebraixlib.mathobjects.mathobject) raise_if_not_mathobjects() (in module algebraixlib.mathobjects.mathobject) RaiseOnUndef (class in algebraixlib.undef) reflexive regular relation rename() (in module algebraixlib.algebras.relations) reset() (algebraixlib.undef.RaiseOnUndef static method) restrict() (in module algebraixlib.algebras.sets)

right (algebraixlib.mathobjects.couplet.Couplet attribute) (algebraixlib.structure.CartesianProduct attribute) right component right multiset right set right-functional right-functional union right-regular right_functional_union() (algebraixlib.algebras.relations.Algebra static method) (in module algebraixlib.algebras.relations)

S

set Set (class in algebraixlib.mathobjects.set) set A set M set N set_level() (algebraixlib.undef.RaiseOnUndef static method) set_to_latex() (in module algebraixlib.util.latexprinter) short_atom_len (algebraixlib.util.latexprinter.Config attribute) short_set_len (algebraixlib.util.latexprinter.Config attribute) single() (in module algebraixlib.algebras.multisets) (in module algebraixlib.algebras.sets) some() (in module algebraixlib.algebras.multisets) (in module algebraixlib.algebras.sets) Structure (class in algebraixlib.structure)

submultiset subset substrict() (algebraixlib.algebras.clans.Algebra static method) (algebraixlib.algebras.multiclans.Algebra static method) (algebraixlib.algebras.multisets.Algebra static method) (algebraixlib.algebras.sets.Algebra static method) (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.multisets) (in module algebraixlib.algebras.sets) substriction supermultiset superset superstrict() (algebraixlib.algebras.clans.Algebra static method) (algebraixlib.algebras.multiclans.Algebra static method) (algebraixlib.algebras.multisets.Algebra static method) (algebraixlib.algebras.sets.Algebra static method) (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.multisets) (in module algebraixlib.algebras.sets) superstriction swap() (in module algebraixlib.algebras.relations) symmetric symmetric difference

T

transitive transpose() (algebraixlib.algebras.clans.Algebra static method) (algebraixlib.algebras.couplets.Algebra static method) (algebraixlib.algebras.multiclans.Algebra static method) (algebraixlib.algebras.relations.Algebra static method) (in module algebraixlib.algebras.clans) (in module algebraixlib.algebras.couplets) (in module algebraixlib.algebras.multiclans) (in module algebraixlib.algebras.relations) transposition

triple triple_match() (in module algebraixlib.util.rdf) type (algebraixlib.mathobjects.atom.Atom attribute)

U

unary extension unary multi-extension unary operation unary_extend() (in module algebraixlib.extension) unary_multi_extend() (in module algebraixlib.extension) Undef (class in algebraixlib.undef)

UndefException union Union (class in algebraixlib.structure) union() (algebraixlib.algebras.multisets.Algebra static method) (algebraixlib.algebras.sets.Algebra static method) (in module algebraixlib.algebras.multisets) (in module algebraixlib.algebras.sets) UNKNOWN (algebraixlib.mathobjects.utils.CacheStatus attribute)

V

value (algebraixlib.mathobjects.atom.Atom attribute)

W

write_to_file_or_path() (in module algebraixlib.util.miscellaneous)

X

xml_to_str() (in module algebraixlib.io.xml)

Z

Zermelo-Fraenkel set theory with choice (ZFC)