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Sage 9.6 Documentation
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A
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B
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C
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D
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E
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F
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G
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H
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I
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K
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L
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M
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N
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O
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P
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R
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S
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T
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U
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V
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W
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Z
_
_cartesian_product_of_elements() (sage.sets.cartesian_product.CartesianProduct method)
A
AbstractFamily (class in sage.sets.family)
ambient() (sage.sets.condition_set.ConditionSet method)
(sage.sets.real_set.RealSet method)
an_element() (sage.sets.cartesian_product.CartesianProduct method)
(sage.sets.disjoint_union_enumerated_sets.DisjointUnionEnumeratedSets method)
(sage.sets.finite_enumerated_set.FiniteEnumeratedSet method)
(sage.sets.finite_set_maps.FiniteSetEndoMaps_N method)
(sage.sets.finite_set_maps.FiniteSetMaps_MN method)
(sage.sets.non_negative_integers.NonNegativeIntegers method)
(sage.sets.positive_integers.PositiveIntegers method)
are_pairwise_disjoint() (sage.sets.real_set.RealSet static method)
arguments() (sage.sets.condition_set.ConditionSet method)
B
boundary() (sage.sets.real_set.RealSet method)
boundary_points() (sage.sets.real_set.InternalRealInterval method)
breadth_first_search_iterator() (sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_forest method)
(sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_generic method)
(sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_graded method)
(sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_symmetric method)
C
cardinality() (sage.sets.disjoint_set.DisjointSet_class method)
(sage.sets.disjoint_union_enumerated_sets.DisjointUnionEnumeratedSets method)
(sage.sets.family.EnumeratedFamily method)
(sage.sets.family.FiniteFamily method)
(sage.sets.family.LazyFamily method)
(sage.sets.family.TrivialFamily method)
(sage.sets.finite_enumerated_set.FiniteEnumeratedSet method)
(sage.sets.finite_set_maps.FiniteSetMaps method)
(sage.sets.integer_range.IntegerRangeFinite method)
(sage.sets.pythonclass.Set_PythonType_class method)
(sage.sets.real_set.RealSet method)
(sage.sets.set.Set_object method)
(sage.sets.set.Set_object_enumerated method)
(sage.sets.set.Set_object_union method)
cartesian_factors() (sage.sets.cartesian_product.CartesianProduct method)
(sage.sets.cartesian_product.CartesianProduct.Element method)
cartesian_projection() (sage.sets.cartesian_product.CartesianProduct method)
(sage.sets.cartesian_product.CartesianProduct.Element method)
CartesianProduct (class in sage.sets.cartesian_product)
CartesianProduct.Element (class in sage.sets.cartesian_product)
check() (sage.sets.finite_set_map_cy.FiniteSetMap_MN method)
children() (sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_forest method)
clear_cache() (sage.sets.set_from_iterator.EnumeratedSetFromIterator method)
closed() (sage.sets.real_set.RealSet static method)
closed_open() (sage.sets.real_set.RealSet static method)
closure() (sage.sets.real_set.InternalRealInterval method)
(sage.sets.real_set.RealSet method)
codomain() (sage.sets.finite_set_map_cy.FiniteSetMap_MN method)
(sage.sets.finite_set_maps.FiniteSetMaps_MN method)
(sage.sets.finite_set_maps.FiniteSetMaps_Set method)
complement() (sage.sets.real_set.RealSet method)
ConditionSet (class in sage.sets.condition_set)
construction() (sage.sets.cartesian_product.CartesianProduct method)
contains() (sage.sets.real_set.InternalRealInterval method)
(sage.sets.real_set.RealSet method)
convex_hull() (sage.sets.real_set.InternalRealInterval method)
D
Decorator (class in sage.sets.set_from_iterator)
depth_first_search_iterator() (sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_forest method)
(sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_generic method)
difference() (sage.sets.real_set.RealSet method)
(sage.sets.set.Set_base method)
(sage.sets.set.Set_object_enumerated method)
DisjointSet() (in module sage.sets.disjoint_set)
DisjointSet_class (class in sage.sets.disjoint_set)
DisjointSet_of_hashables (class in sage.sets.disjoint_set)
DisjointSet_of_integers (class in sage.sets.disjoint_set)
DisjointUnionEnumeratedSets (class in sage.sets.disjoint_union_enumerated_sets)
domain() (sage.sets.finite_set_map_cy.FiniteSetMap_MN method)
(sage.sets.finite_set_maps.FiniteSetMaps_MN method)
(sage.sets.finite_set_maps.FiniteSetMaps_Set method)
DummyExampleForPicklingTest (class in sage.sets.set_from_iterator)
E
Element (sage.sets.finite_set_maps.FiniteSetEndoMaps_N attribute)
(sage.sets.finite_set_maps.FiniteSetEndoMaps_Set attribute)
(sage.sets.finite_set_maps.FiniteSetMaps_MN attribute)
(sage.sets.finite_set_maps.FiniteSetMaps_Set attribute)
(sage.sets.non_negative_integers.NonNegativeIntegers attribute)
(sage.sets.totally_ordered_finite_set.TotallyOrderedFiniteSet attribute)
Element() (sage.sets.disjoint_union_enumerated_sets.DisjointUnionEnumeratedSets method)
element_class (sage.sets.integer_range.IntegerRange attribute)
(sage.sets.real_set.InternalRealInterval attribute)
element_to_root_dict() (sage.sets.disjoint_set.DisjointSet_of_hashables method)
(sage.sets.disjoint_set.DisjointSet_of_integers method)
elements_of_depth_iterator() (sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_forest method)
(sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_generic method)
EnumeratedFamily (class in sage.sets.family)
EnumeratedSetFromIterator (class in sage.sets.set_from_iterator)
EnumeratedSetFromIterator_function_decorator (class in sage.sets.set_from_iterator)
EnumeratedSetFromIterator_method_caller (class in sage.sets.set_from_iterator)
EnumeratedSetFromIterator_method_decorator (class in sage.sets.set_from_iterator)
F
f() (sage.sets.set_from_iterator.DummyExampleForPicklingTest method)
Family() (in module sage.sets.family)
fibers() (in module sage.sets.finite_set_map_cy)
(sage.sets.finite_set_map_cy.FiniteSetMap_MN method)
fibers_args() (in module sage.sets.finite_set_map_cy)
find() (sage.sets.disjoint_set.DisjointSet_of_hashables method)
(sage.sets.disjoint_set.DisjointSet_of_integers method)
FiniteEnumeratedSet (class in sage.sets.finite_enumerated_set)
FiniteFamily (class in sage.sets.family)
FiniteFamilyWithHiddenKeys (class in sage.sets.family)
FiniteSetEndoMap_N (class in sage.sets.finite_set_map_cy)
FiniteSetEndoMap_Set (class in sage.sets.finite_set_map_cy)
FiniteSetEndoMaps_N (class in sage.sets.finite_set_maps)
FiniteSetEndoMaps_Set (class in sage.sets.finite_set_maps)
FiniteSetMap_MN (class in sage.sets.finite_set_map_cy)
FiniteSetMap_Set (class in sage.sets.finite_set_map_cy)
FiniteSetMap_Set_from_dict() (in module sage.sets.finite_set_map_cy)
FiniteSetMap_Set_from_list() (in module sage.sets.finite_set_map_cy)
FiniteSetMaps (class in sage.sets.finite_set_maps)
FiniteSetMaps_MN (class in sage.sets.finite_set_maps)
FiniteSetMaps_Set (class in sage.sets.finite_set_maps)
first() (sage.sets.finite_enumerated_set.FiniteEnumeratedSet method)
(sage.sets.primes.Primes method)
from_dict() (sage.sets.finite_set_map_cy.FiniteSetMap_Set class method)
(sage.sets.finite_set_maps.FiniteSetMaps_Set method)
from_integer (sage.sets.non_negative_integers.NonNegativeIntegers attribute)
from_list() (sage.sets.finite_set_map_cy.FiniteSetMap_Set class method)
frozenset() (sage.sets.set.Set_object_enumerated method)
G
get_interval() (sage.sets.real_set.RealSet method)
getimage() (sage.sets.finite_set_map_cy.FiniteSetMap_MN method)
(sage.sets.finite_set_map_cy.FiniteSetMap_Set method)
graded_component() (sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_generic method)
(sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_graded method)
(sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_symmetric method)
graded_component_iterator() (sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_generic method)
(sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_graded method)
(sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_symmetric method)
H
has_finite_length() (in module sage.sets.set)
has_key() (sage.sets.family.FiniteFamily method)
hidden_keys() (sage.sets.family.AbstractFamily method)
(sage.sets.family.FiniteFamilyWithHiddenKeys method)
I
image_set() (sage.sets.finite_set_map_cy.FiniteSetMap_MN method)
(sage.sets.finite_set_map_cy.FiniteSetMap_Set method)
index() (sage.sets.finite_enumerated_set.FiniteEnumeratedSet method)
inf() (sage.sets.real_set.RealSet method)
IntegerRange (class in sage.sets.integer_range)
IntegerRangeEmpty (class in sage.sets.integer_range)
IntegerRangeFinite (class in sage.sets.integer_range)
IntegerRangeFromMiddle (class in sage.sets.integer_range)
IntegerRangeInfinite (class in sage.sets.integer_range)
interior() (sage.sets.real_set.InternalRealInterval method)
(sage.sets.real_set.RealSet method)
InternalRealInterval (class in sage.sets.real_set)
intersection() (sage.sets.condition_set.ConditionSet method)
(sage.sets.real_set.InternalRealInterval method)
(sage.sets.real_set.RealSet method)
(sage.sets.set.Set_base method)
(sage.sets.set.Set_object_enumerated method)
interval() (sage.sets.real_set.RealSet static method)
inverse_family() (sage.sets.family.AbstractFamily method)
is_closed() (sage.sets.real_set.RealSet method)
is_connected() (sage.sets.real_set.InternalRealInterval method)
is_disjoint() (sage.sets.real_set.RealSet method)
is_disjoint_from() (sage.sets.real_set.RealSet method)
is_empty() (sage.sets.real_set.InternalRealInterval method)
(sage.sets.real_set.RealSet method)
(sage.sets.set.Set_object method)
is_finite() (sage.sets.set.Set_object method)
(sage.sets.set.Set_object_difference method)
(sage.sets.set.Set_object_enumerated method)
(sage.sets.set.Set_object_intersection method)
(sage.sets.set.Set_object_symmetric_difference method)
(sage.sets.set.Set_object_union method)
is_included_in() (sage.sets.real_set.RealSet method)
is_open() (sage.sets.real_set.RealSet method)
is_parent_of() (sage.sets.finite_enumerated_set.FiniteEnumeratedSet method)
(sage.sets.set_from_iterator.EnumeratedSetFromIterator method)
is_point() (sage.sets.real_set.InternalRealInterval method)
is_subset() (sage.sets.real_set.RealSet method)
is_universe() (sage.sets.real_set.RealSet method)
issubset() (sage.sets.set.Set_object_enumerated method)
issuperset() (sage.sets.set.Set_object_enumerated method)
items() (sage.sets.finite_set_map_cy.FiniteSetMap_MN method)
(sage.sets.finite_set_map_cy.FiniteSetMap_Set method)
K
keys() (sage.sets.family.FiniteFamily method)
(sage.sets.family.LazyFamily method)
(sage.sets.family.TrivialFamily method)
L
last() (sage.sets.finite_enumerated_set.FiniteEnumeratedSet method)
LazyFamily (class in sage.sets.family)
le() (sage.sets.totally_ordered_finite_set.TotallyOrderedFiniteSet method)
lift() (sage.sets.real_set.RealSet method)
list() (sage.sets.finite_enumerated_set.FiniteEnumeratedSet method)
(sage.sets.set.Set_object_enumerated method)
lower() (sage.sets.real_set.InternalRealInterval method)
lower_closed() (sage.sets.real_set.InternalRealInterval method)
lower_open() (sage.sets.real_set.InternalRealInterval method)
M
map() (sage.sets.family.AbstractFamily method)
map_reduce() (sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_forest method)
module
sage.sets.cartesian_product
sage.sets.condition_set
sage.sets.disjoint_set
sage.sets.disjoint_union_enumerated_sets
sage.sets.family
sage.sets.finite_enumerated_set
sage.sets.finite_set_map_cy
sage.sets.finite_set_maps
sage.sets.integer_range
sage.sets.non_negative_integers
sage.sets.positive_integers
sage.sets.primes
sage.sets.pythonclass
sage.sets.real_set
sage.sets.recursively_enumerated_set
sage.sets.set
sage.sets.set_from_iterator
sage.sets.totally_ordered_finite_set
N
n_components() (sage.sets.real_set.RealSet method)
naive_search_iterator() (sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_generic method)
next() (sage.sets.integer_range.IntegerRangeFromMiddle method)
(sage.sets.non_negative_integers.NonNegativeIntegers method)
(sage.sets.primes.Primes method)
NonNegativeIntegers (class in sage.sets.non_negative_integers)
normalize() (sage.sets.real_set.RealSet static method)
number_of_subsets() (sage.sets.disjoint_set.DisjointSet_class method)
O
object() (sage.sets.pythonclass.Set_PythonType_class method)
(sage.sets.set.Set_object method)
one() (sage.sets.finite_set_maps.FiniteSetEndoMaps_N method)
open() (sage.sets.real_set.RealSet static method)
open_closed() (sage.sets.real_set.RealSet static method)
P
point() (sage.sets.real_set.RealSet static method)
PositiveIntegers (class in sage.sets.positive_integers)
Primes (class in sage.sets.primes)
R
random_element() (sage.sets.finite_enumerated_set.FiniteEnumeratedSet method)
(sage.sets.set.Set_object_enumerated method)
rank() (sage.sets.finite_enumerated_set.FiniteEnumeratedSet method)
(sage.sets.integer_range.IntegerRangeFinite method)
(sage.sets.integer_range.IntegerRangeInfinite method)
real_line() (sage.sets.real_set.RealSet static method)
RealSet (class in sage.sets.real_set)
RecursivelyEnumeratedSet() (in module sage.sets.recursively_enumerated_set)
RecursivelyEnumeratedSet_forest (class in sage.sets.recursively_enumerated_set)
RecursivelyEnumeratedSet_generic (class in sage.sets.recursively_enumerated_set)
RecursivelyEnumeratedSet_graded (class in sage.sets.recursively_enumerated_set)
RecursivelyEnumeratedSet_symmetric (class in sage.sets.recursively_enumerated_set)
retract() (sage.sets.real_set.RealSet method)
root_to_elements_dict() (sage.sets.disjoint_set.DisjointSet_of_hashables method)
(sage.sets.disjoint_set.DisjointSet_of_integers method)
roots() (sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_forest method)
S
sage.sets.cartesian_product
module
sage.sets.condition_set
module
sage.sets.disjoint_set
module
sage.sets.disjoint_union_enumerated_sets
module
sage.sets.family
module
sage.sets.finite_enumerated_set
module
sage.sets.finite_set_map_cy
module
sage.sets.finite_set_maps
module
sage.sets.integer_range
module
sage.sets.non_negative_integers
module
sage.sets.positive_integers
module
sage.sets.primes
module
sage.sets.pythonclass
module
sage.sets.real_set
module
sage.sets.recursively_enumerated_set
module
sage.sets.set
module
sage.sets.set_from_iterator
module
sage.sets.totally_ordered_finite_set
module
search_forest_iterator() (in module sage.sets.recursively_enumerated_set)
seeds() (sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_generic method)
Set() (in module sage.sets.set)
set() (sage.sets.set.Set_object_enumerated method)
Set_add_sub_operators (class in sage.sets.set)
Set_base (class in sage.sets.set)
Set_boolean_operators (class in sage.sets.set)
set_from_function (in module sage.sets.set_from_iterator)
set_from_method (in module sage.sets.set_from_iterator)
Set_object (class in sage.sets.set)
Set_object_binary (class in sage.sets.set)
Set_object_difference (class in sage.sets.set)
Set_object_enumerated (class in sage.sets.set)
Set_object_intersection (class in sage.sets.set)
Set_object_symmetric_difference (class in sage.sets.set)
Set_object_union (class in sage.sets.set)
Set_PythonType() (in module sage.sets.pythonclass)
Set_PythonType_class (class in sage.sets.pythonclass)
setimage() (sage.sets.finite_set_map_cy.FiniteSetMap_MN method)
(sage.sets.finite_set_map_cy.FiniteSetMap_Set method)
some_elements() (sage.sets.non_negative_integers.NonNegativeIntegers method)
subsets() (sage.sets.set.Set_object method)
subsets_lattice() (sage.sets.set.Set_object method)
successors (sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_generic attribute)
sup() (sage.sets.real_set.RealSet method)
symmetric_difference() (sage.sets.real_set.RealSet method)
(sage.sets.set.Set_base method)
(sage.sets.set.Set_object_enumerated method)
T
to_digraph() (sage.sets.disjoint_set.DisjointSet_of_hashables method)
(sage.sets.disjoint_set.DisjointSet_of_integers method)
(sage.sets.recursively_enumerated_set.RecursivelyEnumeratedSet_generic method)
TotallyOrderedFiniteSet (class in sage.sets.totally_ordered_finite_set)
TotallyOrderedFiniteSetElement (class in sage.sets.totally_ordered_finite_set)
TrivialFamily (class in sage.sets.family)
U
unbounded_above_closed() (sage.sets.real_set.RealSet static method)
unbounded_above_open() (sage.sets.real_set.RealSet static method)
unbounded_below_closed() (sage.sets.real_set.RealSet static method)
unbounded_below_open() (sage.sets.real_set.RealSet static method)
union() (sage.sets.disjoint_set.DisjointSet_of_hashables method)
(sage.sets.disjoint_set.DisjointSet_of_integers method)
(sage.sets.real_set.RealSet method)
(sage.sets.set.Set_base method)
(sage.sets.set.Set_object_enumerated method)
unrank() (sage.sets.finite_enumerated_set.FiniteEnumeratedSet method)
(sage.sets.integer_range.IntegerRangeFinite method)
(sage.sets.integer_range.IntegerRangeInfinite method)
(sage.sets.non_negative_integers.NonNegativeIntegers method)
(sage.sets.primes.Primes method)
(sage.sets.set_from_iterator.EnumeratedSetFromIterator method)
upper() (sage.sets.real_set.InternalRealInterval method)
upper_closed() (sage.sets.real_set.InternalRealInterval method)
upper_open() (sage.sets.real_set.InternalRealInterval method)
V
values() (sage.sets.family.FiniteFamily method)
W
wrapped_class (sage.sets.cartesian_product.CartesianProduct.Element attribute)
Z
zip() (sage.sets.family.AbstractFamily method)
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