Index

_

__and__() (FrozenJoinSemiLattice method) (FrozenLattice method) (FrozenMeetSemiLattice method) (FrozenPartiallyOrderedSet method) (Meetable method) (RelationMixin method) (SubSet method) __bool__() (Bottom method) (CoveringRelationMixin method) (FrozenBinaryRelation method) (JoinSemiLattice method) (MeetSemiLattice method) (PartiallyOrderedSet method) (PartiallyOrderedSetView method) (PartialOrder method) (Projection method) (Relation method) (Selection method) (Top method) __contains__() (Bottom method) (CoveringRelationMixin method) (FrozenBinaryRelation method) (FrozenFIFOSet method) (FrozenPartiallyOrderedSet method) (FrozenRelation method) (IndexRange method) (JoinSemiLattice method) (Lattice method) (MeetSemiLattice method) (PartiallyOrderedSetView method) (PartialOrder method) (Projection method) (ReducedContext method) (Selection method) (SubSet method) (Top method) (Universe method) __copy__() (FrozenFIFOSet method) (FrozenJoinSemiLattice method) (FrozenLattice method) (FrozenMeetSemiLattice method) (FrozenPartiallyOrderedSet method) (RelationMixin method) __eq__() (JoinSemiLattice method) (Lattice method) (MeetSemiLattice method) (PartiallyOrderedSet method) (Projection method) (Relation method) (SubSet method) __ge__() (JoinSemiLattice method) (Lattice method) (MeetSemiLattice method) (PartiallyComparable method) (PartiallyOrderedSet method) (Relation method) (SubSet method) __getitem__() (IndexRange method) (Universe method) __gt__() (JoinSemiLattice method) (Lattice method) (MeetSemiLattice method) (PartiallyComparable method) (PartiallyOrderedSet method) (Relation method) (SubSet method) __hash__() (Color method) (FrozenBinaryRelation method) (FrozenFIFOSet method) (FrozenJoinSemiLattice method) (FrozenLattice method) (FrozenMeetSemiLattice method) (FrozenPartiallyOrderedSet method) (FrozenRelation method) (IndexRange method) (PrimeFactors method) (SubSet method) (Universe method) __iand__() (MutablePartiallyOrderedSet method) (MutableRelationMixin method) __invert__() (SubSet method)

__ior__() (ExtensibleJoinSemiLattice method) (ExtensibleLattice method) (ExtensibleMeetSemiLattice method) (MutablePartiallyOrderedSet method) (MutableRelationMixin method) __isub__() (MutablePartiallyOrderedSet method) (MutableRelationMixin method) __iter__() (Bottom method) (CoveringRelationMixin method) (FrozenBinaryRelation method) (FrozenFIFOSet method) (FrozenPartiallyOrderedSet method) (FrozenRelation method) (IndexRange method) (JoinSemiLattice method) (Lattice method) (MeetSemiLattice method) (PartiallyOrderedSetView method) (PartialOrder method) (Projection method) (ReducedContext method) (Selection method) (SubSet method) (Top method) (Universe method) __ixor__() (MutablePartiallyOrderedSet method) (MutableRelationMixin method) __le__() (JoinSemiLattice method) (Lattice method) (MeetSemiLattice method) (PartiallyComparable method) (PartiallyOrderedSet method) (Relation method) (SubSet method) __len__() (Bottom method) (CoveringRelationMixin method) (FrozenBinaryRelation method) (FrozenFIFOSet method) (FrozenJoinSemiLattice method) (FrozenLattice method) (FrozenMeetSemiLattice method) (FrozenPartiallyOrderedSet method) (FrozenRelation method) (IndexRange method) (JoinSemiLattice method) (JoinSemiLatticeView method) (Lattice method) (LatticeView method) (MeetSemiLattice method) (MeetSemiLatticeView method) (PartiallyOrderedSetView method) (PartialOrder method) (Projection method) (ReducedContext method) (Selection method) (SubSet method) (Top method) (Universe method) __lt__() (JoinSemiLattice method) (Lattice method) (MeetSemiLattice method) (PartiallyComparable method) (PartiallyOrderedSet method) (Relation method) (SubSet method) __ne__() (SubSet method) __or__() (FrozenJoinSemiLattice method) (FrozenLattice method) (FrozenMeetSemiLattice method) (FrozenPartiallyOrderedSet method) (Joinable method) (RelationMixin method) (SubSet method) __reversed__() (FrozenFIFOSet method) (IndexRange method) (Universe method) __sub__() (FrozenPartiallyOrderedSet method) (RelationMixin method) (SubSet method) __xor__() (FrozenPartiallyOrderedSet method) (RelationMixin method) (SubSet method)

A

add() (FIFOSet method) (MutableCollection method) (MutablePartiallyOrderedSet method) (MutableRelationMixin method) add_destination() (GraphRenderer method) add_edge() (GraphRenderer method) add_source() (GraphRenderer method) additem() (FIFOSet method) alias (EdgeRenderer attribute) (GraphRenderer attribute) (HasseDiagramDrawer attribute) (HasseDiagramRenderer attribute) (NodeRenderer attribute)

atoms (FrozenLattice property) (FrozenMeetSemiLattice property) (LatticeView property) (MeetSemiLattice property) (MeetSemiLatticeView property) attributes() (ColorRenderer method) (EdgeRenderer method) (NodeRenderer method) (PrimeFactorsRenderer method)

B

BinaryRelation (class in galactic.algebras.relational.core) BinaryTable (class in galactic.algebras.relational.renderer) bitmap (SubSet property) blue (Color property) Bottom (class in galactic.algebras.poset.core) bottom (FrozenJoinSemiLattice property) (FrozenLattice property) (FrozenMeetSemiLattice property) (FrozenPartiallyOrderedSet property) (JoinSemiLatticeView property) (LatticeView property) (MeetSemiLatticeView property) (PartiallyOrderedSet property) (PartiallyOrderedSetView property)

bottom() (in module galactic.algebras.poset.core)

C

ceil() (MeetSemiLattice method) CellRenderer (class in galactic.algebras.relational.renderer) clear() (FIFOSet method) (MutableCollection method) (MutablePartiallyOrderedSet method) (MutableRelationMixin method) co_atoms (FrozenJoinSemiLattice property) (FrozenLattice property) (JoinSemiLattice property) (JoinSemiLatticeView property) (LatticeView property) co_domain (BinaryRelation property) (CoveringRelationMixin property) (FrozenBinaryRelation property) (MutableBinaryRelation property) (PartialOrder property) co_domain_renderer (BinaryTable property) Color (class in galactic.algebras.lattice.examples.color.core)

ColorRenderer (class in galactic.algebras.lattice.examples.color.renderer) copy() (FrozenFIFOSet method) (FrozenJoinSemiLattice method) (FrozenLattice method) (FrozenMeetSemiLattice method) (FrozenPartiallyOrderedSet method) (RelationMixin method) count() (IndexRange method) (Universe method) cover (FrozenJoinSemiLattice property) (FrozenLattice property) (FrozenMeetSemiLattice property) (FrozenPartiallyOrderedSet property) (JoinSemiLatticeView property) (LatticeView property) (MeetSemiLatticeView property) (PartiallyOrderedSet property) (PartiallyOrderedSetView property) CoveringRelationMixin (class in galactic.algebras.poset.core)

D

difference() (FrozenFIFOSet method) (FrozenPartiallyOrderedSet method) (RelationMixin method) (SubSet method) difference_update() (FIFOSet method) (MutablePartiallyOrderedSet method) (MutableRelationMixin method) digraph (EndoDiagram property) (HasseDiagram property) (SagittalDiagram property) discard() (FIFOSet method) (MutableCollection method) (MutablePartiallyOrderedSet method) (MutableRelationMixin method)

domain (BinaryRelation property) (CoveringRelationMixin property) (FrozenBinaryRelation property) (MutableBinaryRelation property) (PartialOrder property) domain_renderer (BinaryTable property) draw() (EndoDiagramDrawer method) (HasseDiagramDrawer method) (SagittalDiagramDrawer method)

E

edge_attributes() (GraphRenderer method) EdgeRenderer (class in galactic.algebras.relational.renderer) Element (class in galactic.algebras.lattice.core) EndoDiagram (class in galactic.algebras.relational.renderer) EndoDiagramDrawer (class in galactic.algebras.relational.renderer) EndoRelation (class in galactic.algebras.relational.core) export() (EndoDiagramDrawer method) (HasseDiagramDrawer method) (SagittalDiagramDrawer method)

extend() (ExtensibleCollection method) (ExtensibleJoinSemiLattice method) (ExtensibleLattice method) (ExtensibleMeetSemiLattice method) (MutablePartiallyOrderedSet method) (MutableRelationMixin method) ExtensibleCollection (class in galactic.algebras.collection.core) ExtensibleJoinSemiLattice (class in galactic.algebras.lattice.core) ExtensibleLattice (class in galactic.algebras.lattice.core) ExtensibleMeetSemiLattice (class in galactic.algebras.lattice.core)

F

FIFOSet (class in galactic.algebras.set.core) filter() (FrozenJoinSemiLattice method) (FrozenLattice method) (FrozenMeetSemiLattice method) (FrozenPartiallyOrderedSet method) (JoinSemiLatticeView method) (LatticeView method) (MeetSemiLatticeView method) (PartiallyOrderedSet method) (PartiallyOrderedSetView method)

floor() (JoinSemiLattice method) FrozenBinaryRelation (class in galactic.algebras.relational.core) FrozenEndoRelation (class in galactic.algebras.relational.core) FrozenFIFOSet (class in galactic.algebras.set.core) FrozenJoinSemiLattice (class in galactic.algebras.lattice.core) FrozenLattice (class in galactic.algebras.lattice.core) FrozenMeetSemiLattice (class in galactic.algebras.lattice.core) FrozenPartiallyOrderedSet (class in galactic.algebras.poset.core) FrozenRelation (class in galactic.algebras.relational.core)

G

galactic.algebras.collection.core module galactic.algebras.lattice.core module galactic.algebras.lattice.examples.arithmetic.core module galactic.algebras.lattice.examples.arithmetic.renderer module galactic.algebras.lattice.examples.color.core module galactic.algebras.lattice.examples.color.renderer module galactic.algebras.lattice.renderer module galactic.algebras.poset.core module

galactic.algebras.poset.renderer module galactic.algebras.relational.core module galactic.algebras.relational.renderer module galactic.algebras.set.core module gcd() (in module galactic.algebras.lattice.examples.arithmetic.core) graph_attributes() (GraphRenderer method) (HasseDiagramRenderer method) (ReducedContextDiagramRenderer method) (SagittalDiagramRenderer method) GraphRenderer (class in galactic.algebras.relational.renderer) greatest_join_irreducible() (JoinSemiLattice method) green (Color property)

H

HasseDiagram (class in galactic.algebras.poset.renderer) HasseDiagramDrawer (class in galactic.algebras.poset.renderer) HasseDiagramRenderer (class in galactic.algebras.poset.renderer)

head (FrozenFIFOSet property) (FrozenPartiallyOrderedSet property) hexadecimal() (Color method)

I

ideal() (FrozenJoinSemiLattice method) (FrozenLattice method) (FrozenMeetSemiLattice method) (FrozenPartiallyOrderedSet method) (JoinSemiLatticeView method) (LatticeView method) (MeetSemiLatticeView method) (PartiallyOrderedSet method) (PartiallyOrderedSetView method) index() (IndexRange method) (Universe method) IndexRange (class in galactic.algebras.set.core) infimum() (in module galactic.algebras.lattice.core) infimum_generators() (in module galactic.algebras.lattice.core) intersection() (FrozenFIFOSet method) (FrozenPartiallyOrderedSet method) (RelationMixin method) (SubSet method)

intersection_update() (FIFOSet method) (MutablePartiallyOrderedSet method) (MutableRelationMixin method) interval() (Lattice method) isdisjoint() (FrozenFIFOSet method) (PartiallyOrderedSet method) (Relation method) (SubSet method) issubset() (FrozenFIFOSet method) (Lattice method) (PartiallyOrderedSet method) (Relation method) (SubSet method) issuperset() (FrozenFIFOSet method) (Lattice method) (PartiallyOrderedSet method) (Relation method) (SubSet method)

J

join() (FrozenJoinSemiLattice method) (FrozenLattice method) (FrozenMeetSemiLattice method) (Joinable method) join_irreducible (FrozenJoinSemiLattice property) (FrozenLattice property) (JoinSemiLattice property) (JoinSemiLatticeView property) (LatticeView property)

Joinable (class in galactic.algebras.lattice.core) JoinSemiLattice (class in galactic.algebras.lattice.core) JoinSemiLatticeView (class in galactic.algebras.lattice.core)

L

latex() (PrimeFactors method) Lattice (class in galactic.algebras.lattice.core) lattice (ReducedContext property) LatticeCoveringRelation (class in galactic.algebras.lattice.core) LatticeView (class in galactic.algebras.lattice.core)

lcm() (in module galactic.algebras.lattice.examples.arithmetic.core) lower_limit() (in module galactic.algebras.poset.core) (JoinSemiLattice method) (Lattice method) (MeetSemiLattice method) (PartiallyOrderedSet method)

M

maximum (PartiallyOrderedSet property) meet() (FrozenJoinSemiLattice method) (FrozenLattice method) (FrozenMeetSemiLattice method) (Meetable method) meet_irreducible (FrozenLattice property) (FrozenMeetSemiLattice property) (LatticeView property) (MeetSemiLattice property) (MeetSemiLatticeView property) Meetable (class in galactic.algebras.lattice.core) MeetSemiLattice (class in galactic.algebras.lattice.core) MeetSemiLatticeView (class in galactic.algebras.lattice.core) minimum (PartiallyOrderedSet property) module galactic.algebras.collection.core galactic.algebras.lattice.core galactic.algebras.lattice.examples.arithmetic.core galactic.algebras.lattice.examples.arithmetic.renderer galactic.algebras.lattice.examples.color.core galactic.algebras.lattice.examples.color.renderer galactic.algebras.lattice.renderer galactic.algebras.poset.core galactic.algebras.poset.renderer galactic.algebras.relational.core galactic.algebras.relational.renderer galactic.algebras.set.core

move_to_end() (FIFOSet method) MutableBinaryRelation (class in galactic.algebras.relational.core) MutableCollection (class in galactic.algebras.collection.core) MutableEndoRelation (class in galactic.algebras.relational.core) MutablePartiallyOrderedSet (class in galactic.algebras.poset.core) MutableRelation (class in galactic.algebras.relational.core) MutableRelationMixin (class in galactic.algebras.relational.core)

N

node_attributes() (GraphRenderer method)

NodeRenderer (class in galactic.algebras.relational.renderer)

O

order (FrozenJoinSemiLattice property) (FrozenLattice property) (FrozenMeetSemiLattice property) (FrozenPartiallyOrderedSet property) (JoinSemiLatticeView property) (LatticeView property) (MeetSemiLatticeView property) (PartiallyOrderedSet property) (PartiallyOrderedSetView property)

Ordering (class in galactic.algebras.poset.core)

P

PartiallyComparable (class in galactic.algebras.poset.core) PartiallyOrderedSet (class in galactic.algebras.poset.core) PartiallyOrderedSetView (class in galactic.algebras.poset.core) PartialOrder (class in galactic.algebras.poset.core) pipe() (EndoDiagram method) (HasseDiagram method) (SagittalDiagram method) pop() (FIFOSet method) (MutableCollection method) (MutablePartiallyOrderedSet method) (MutableRelationMixin method) popitem() (FIFOSet method) (MutablePartiallyOrderedSet method)

poset (HasseDiagram property) predecessors() (BinaryRelation method) (CoveringRelationMixin method) (FrozenBinaryRelation method) (LatticeCoveringRelation method) (PartialOrder method) (ReducedContext method) prime_factors() (in module galactic.algebras.lattice.examples.arithmetic.core) prime_powers() (in module galactic.algebras.lattice.examples.arithmetic.core) PrimeFactors (class in galactic.algebras.lattice.examples.arithmetic.core) PrimeFactorsRenderer (class in galactic.algebras.lattice.examples.arithmetic.renderer) Projection (class in galactic.algebras.relational.core)

R

red (Color property) ReducedContext (class in galactic.algebras.lattice.core) ReducedContextDiagram (class in galactic.algebras.lattice.renderer) ReducedContextDiagramDrawer (class in galactic.algebras.lattice.renderer) ReducedContextDiagramRenderer (class in galactic.algebras.lattice.renderer) relation (BinaryTable property) Relation (class in galactic.algebras.relational.core) relation (EndoDiagram property) (SagittalDiagram property) RelationMixin (class in galactic.algebras.relational.core)

remove() (FIFOSet method) (MutableCollection method) (MutablePartiallyOrderedSet method) (MutableRelationMixin method) render() (EndoDiagram method) (HasseDiagram method) (SagittalDiagram method) render_col() (CellRenderer method) (PrimeFactorsRenderer method) render_row() (CellRenderer method) (PrimeFactorsRenderer method)

S

SagittalDiagram (class in galactic.algebras.relational.renderer) SagittalDiagramDrawer (class in galactic.algebras.relational.renderer) SagittalDiagramRenderer (class in galactic.algebras.relational.renderer) Selection (class in galactic.algebras.relational.core) set_join_irreducible() (PrimeFactorsRenderer method) set_join_irreducible_color() (PrimeFactorsRenderer method) set_join_semi_lattice() (PrimeFactorsRenderer method) set_meet_irreducible() (PrimeFactorsRenderer method) set_meet_irreducible_color() (PrimeFactorsRenderer method) set_meet_semi_lattice() (PrimeFactorsRenderer method) sinks (CoveringRelationMixin property) (Ordering property) (PartialOrder property) smallest_meet_irreducible() (MeetSemiLattice method) sources (CoveringRelationMixin property) (Ordering property) (PartialOrder property)

SubSet (class in galactic.algebras.set.core) subsets() (SubSet method) successors() (BinaryRelation method) (CoveringRelationMixin method) (FrozenBinaryRelation method) (LatticeCoveringRelation method) (PartialOrder method) (ReducedContext method) supersets() (SubSet method) supremum() (in module galactic.algebras.lattice.core) supremum_generators() (in module galactic.algebras.lattice.core) symmetric_difference() (FrozenFIFOSet method) (FrozenPartiallyOrderedSet method) (RelationMixin method) (SubSet method) symmetric_difference_update() (FIFOSet method) (MutablePartiallyOrderedSet method) (MutableRelationMixin method)

T

tail (FrozenFIFOSet property) (FrozenPartiallyOrderedSet property) Top (class in galactic.algebras.poset.core) top (FrozenJoinSemiLattice property) (FrozenLattice property) (FrozenMeetSemiLattice property) (FrozenPartiallyOrderedSet property) (JoinSemiLatticeView property) (LatticeView property) (MeetSemiLatticeView property) (PartiallyOrderedSet property) (PartiallyOrderedSetView property)

top() (in module galactic.algebras.poset.core)

U

union() (FrozenFIFOSet method) (FrozenPartiallyOrderedSet method) (RelationMixin method) (SubSet method) Universe (class in galactic.algebras.set.core) universe (SubSet property) universes (BinaryRelation property) (CoveringRelationMixin property) (FrozenBinaryRelation property) (FrozenRelation property) (MutableBinaryRelation property) (MutableRelation property) (PartialOrder property) (Projection property) (ReducedContext property) (Relation property) (Selection property)

update() (FIFOSet method) (MutablePartiallyOrderedSet method) (MutableRelationMixin method) upper_limit() (in module galactic.algebras.poset.core) (JoinSemiLattice method) (Lattice method) (MeetSemiLattice method) (PartiallyOrderedSet method)

V

value (PrimeFactors property) version (FrozenJoinSemiLattice property) (FrozenLattice property) (FrozenMeetSemiLattice property) (FrozenPartiallyOrderedSet property) (JoinSemiLatticeView property) (LatticeView property) (MeetSemiLatticeView property) (PartiallyOrderedSet property) (PartiallyOrderedSetView property)