Index

A

alphabet() (sage.monoids.string_monoid.StringMonoid_class method) (sage.monoids.trace_monoid.TraceMonoidElement method) AlphabeticStringMonoid (class in sage.monoids.string_monoid) AlphabeticStrings (in module sage.monoids.string_monoid)

ambient() (sage.monoids.automatic_semigroup.AutomaticSemigroup method) an_element() (sage.monoids.automatic_semigroup.AutomaticSemigroup method) AutomaticMonoid (class in sage.monoids.automatic_semigroup) AutomaticSemigroup (class in sage.monoids.automatic_semigroup) AutomaticSemigroup.Element (class in sage.monoids.automatic_semigroup)

B

BinaryStringMonoid (class in sage.monoids.string_monoid)

BinaryStrings (in module sage.monoids.string_monoid)

C

cardinality() (sage.monoids.automatic_semigroup.AutomaticSemigroup method) (sage.monoids.free_abelian_monoid.FreeAbelianMonoid_class method) (sage.monoids.free_monoid.FreeMonoid method) (sage.monoids.indexed_free_monoid.IndexedMonoid method) (sage.monoids.trace_monoid.TraceMonoid method) character_count() (sage.monoids.string_monoid_element.StringMonoidElement method)

characteristic_frequency() (sage.monoids.string_monoid.AlphabeticStringMonoid method) coincidence_discriminant() (in module sage.monoids.string_ops) coincidence_index() (in module sage.monoids.string_ops) (sage.monoids.string_monoid_element.StringMonoidElement method) construct() (sage.monoids.automatic_semigroup.AutomaticSemigroup method) create_key() (sage.monoids.free_abelian_monoid.FreeAbelianMonoidFactory method) create_object() (sage.monoids.free_abelian_monoid.FreeAbelianMonoidFactory method)

D

decoding() (sage.monoids.string_monoid_element.StringMonoidElement method) dependence() (sage.monoids.trace_monoid.TraceMonoid method) dependence_graph() (sage.monoids.trace_monoid.TraceMonoid method) (sage.monoids.trace_monoid.TraceMonoidElement method)

dependence_polynomial() (sage.monoids.trace_monoid.TraceMonoid method) dict() (sage.monoids.indexed_free_monoid.IndexedFreeAbelianMonoidElement method)

E

Element (sage.monoids.free_abelian_monoid.FreeAbelianMonoid_class attribute) (sage.monoids.free_monoid.FreeMonoid attribute) (sage.monoids.indexed_free_monoid.IndexedFreeAbelianMonoid attribute) (sage.monoids.indexed_free_monoid.IndexedFreeMonoid attribute) (sage.monoids.trace_monoid.TraceMonoid attribute)

encoding() (sage.monoids.string_monoid.AlphabeticStringMonoid method) (sage.monoids.string_monoid.BinaryStringMonoid method) (sage.monoids.string_monoid.HexadecimalStringMonoid method)

F

foata_normal_form() (sage.monoids.trace_monoid.TraceMonoidElement method) FreeAbelianMonoid() (in module sage.monoids.free_abelian_monoid) FreeAbelianMonoid_class (class in sage.monoids.free_abelian_monoid) FreeAbelianMonoidElement (class in sage.monoids.free_abelian_monoid_element) FreeAbelianMonoidFactory (class in sage.monoids.free_abelian_monoid)

FreeMonoid (class in sage.monoids.free_monoid) FreeMonoidElement (class in sage.monoids.free_monoid_element) frequency_distribution() (in module sage.monoids.string_ops) (sage.monoids.string_monoid_element.StringMonoidElement method) from_reduced_word() (sage.monoids.automatic_semigroup.AutomaticSemigroup method)

G

gen() (sage.monoids.free_abelian_monoid.FreeAbelianMonoid_class method) (sage.monoids.free_monoid.FreeMonoid method) (sage.monoids.indexed_free_monoid.IndexedFreeAbelianMonoid method) (sage.monoids.indexed_free_monoid.IndexedFreeMonoid method) (sage.monoids.string_monoid.StringMonoid_class method) (sage.monoids.trace_monoid.TraceMonoid method)

gens() (sage.monoids.automatic_semigroup.AutomaticMonoid method) (sage.monoids.automatic_semigroup.AutomaticSemigroup method) (sage.monoids.free_abelian_monoid.FreeAbelianMonoid_class method) (sage.monoids.indexed_free_monoid.IndexedMonoid method) (sage.monoids.monoid.Monoid_class method)

H

hasse_diagram() (sage.monoids.trace_monoid.TraceMonoidElement method) HeckeMonoid() (in module sage.monoids.hecke_monoid)

HexadecimalStringMonoid (class in sage.monoids.string_monoid) HexadecimalStrings (in module sage.monoids.string_monoid)

I

independence() (sage.monoids.trace_monoid.TraceMonoid method) independence_graph() (sage.monoids.trace_monoid.TraceMonoid method) IndexedFreeAbelianMonoid (class in sage.monoids.indexed_free_monoid) IndexedFreeAbelianMonoidElement (class in sage.monoids.indexed_free_monoid) IndexedFreeMonoid (class in sage.monoids.indexed_free_monoid) IndexedFreeMonoidElement (class in sage.monoids.indexed_free_monoid) IndexedMonoid (class in sage.monoids.indexed_free_monoid) IndexedMonoidElement (class in sage.monoids.indexed_free_monoid) is_AlphabeticStringMonoidElement() (in module sage.monoids.string_monoid_element)

is_BinaryStringMonoidElement() (in module sage.monoids.string_monoid_element) is_FreeAbelianMonoid() (in module sage.monoids.free_abelian_monoid) is_FreeAbelianMonoidElement() (in module sage.monoids.free_abelian_monoid_element) is_FreeMonoid() (in module sage.monoids.free_monoid) is_FreeMonoidElement() (in module sage.monoids.free_monoid_element) is_HexadecimalStringMonoidElement() (in module sage.monoids.string_monoid_element) is_Monoid() (in module sage.monoids.monoid) is_OctalStringMonoidElement() (in module sage.monoids.string_monoid_element) is_Radix64StringMonoidElement() (in module sage.monoids.string_monoid_element) is_StringMonoidElement() (in module sage.monoids.string_monoid_element)

L

leading_support() (sage.monoids.indexed_free_monoid.IndexedMonoidElement method) length() (sage.monoids.indexed_free_monoid.IndexedFreeAbelianMonoidElement method) (sage.monoids.indexed_free_monoid.IndexedFreeMonoidElement method) lex_normal_form() (sage.monoids.trace_monoid.TraceMonoidElement method)

lift() (sage.monoids.automatic_semigroup.AutomaticSemigroup method) (sage.monoids.automatic_semigroup.AutomaticSemigroup.Element method) list() (sage.monoids.automatic_semigroup.AutomaticSemigroup method) (sage.monoids.free_abelian_monoid_element.FreeAbelianMonoidElement method)

M

min_hasse_diagram() (sage.monoids.trace_monoid.TraceMonoidElement method) module sage.monoids.automatic_semigroup sage.monoids.free_abelian_monoid sage.monoids.free_abelian_monoid_element sage.monoids.free_monoid sage.monoids.free_monoid_element sage.monoids.hecke_monoid sage.monoids.indexed_free_monoid sage.monoids.monoid sage.monoids.string_monoid sage.monoids.string_monoid_element sage.monoids.string_ops sage.monoids.trace_monoid

Monoid_class (class in sage.monoids.monoid) monoid_generators() (sage.monoids.automatic_semigroup.AutomaticMonoid method) (sage.monoids.indexed_free_monoid.IndexedMonoid method) (sage.monoids.monoid.Monoid_class method) multiplicative_order() (sage.monoids.trace_monoid.TraceMonoidElement method)

N

naive_hasse_diagram() (sage.monoids.trace_monoid.TraceMonoidElement method) ngens() (sage.monoids.free_abelian_monoid.FreeAbelianMonoid_class method) (sage.monoids.free_monoid.FreeMonoid method) (sage.monoids.trace_monoid.TraceMonoid method)

number_of_words() (sage.monoids.trace_monoid.TraceMonoid method)

O

OctalStringMonoid (class in sage.monoids.string_monoid) OctalStrings (in module sage.monoids.string_monoid) one() (sage.monoids.automatic_semigroup.AutomaticMonoid method) (sage.monoids.indexed_free_monoid.IndexedFreeAbelianMonoid method) (sage.monoids.indexed_free_monoid.IndexedFreeMonoid method) (sage.monoids.string_monoid.StringMonoid_class method) (sage.monoids.trace_monoid.TraceMonoid method)

P

product() (sage.monoids.automatic_semigroup.AutomaticSemigroup method)

projection() (sage.monoids.trace_monoid.TraceMonoidElement method)

R

Radix64StringMonoid (class in sage.monoids.string_monoid) Radix64Strings (in module sage.monoids.string_monoid)

reduced_word() (sage.monoids.automatic_semigroup.AutomaticSemigroup.Element method) repr_element_method() (sage.monoids.automatic_semigroup.AutomaticSemigroup method) retract() (sage.monoids.automatic_semigroup.AutomaticSemigroup method)

S

sage.monoids.automatic_semigroup module sage.monoids.free_abelian_monoid module sage.monoids.free_abelian_monoid_element module sage.monoids.free_monoid module sage.monoids.free_monoid_element module sage.monoids.hecke_monoid module sage.monoids.indexed_free_monoid module sage.monoids.monoid module

sage.monoids.string_monoid module sage.monoids.string_monoid_element module sage.monoids.string_ops module sage.monoids.trace_monoid module semigroup_generators() (sage.monoids.automatic_semigroup.AutomaticMonoid method) (sage.monoids.automatic_semigroup.AutomaticSemigroup method) StringMonoid_class (class in sage.monoids.string_monoid) StringMonoidElement (class in sage.monoids.string_monoid_element) strip_encoding() (in module sage.monoids.string_ops) support() (sage.monoids.indexed_free_monoid.IndexedMonoidElement method)

T

to_list() (sage.monoids.free_monoid_element.FreeMonoidElement method) to_word() (sage.monoids.free_monoid_element.FreeMonoidElement method) to_word_list() (sage.monoids.indexed_free_monoid.IndexedMonoidElement method)

TraceMonoid (class in sage.monoids.trace_monoid) TraceMonoidElement (class in sage.monoids.trace_monoid) trailing_support() (sage.monoids.indexed_free_monoid.IndexedMonoidElement method) transition() (sage.monoids.automatic_semigroup.AutomaticSemigroup.Element method)

W

words() (sage.monoids.trace_monoid.TraceMonoid method)