Index

A

an_element() (sign_vectors.oriented_matroids.OrientedMatroid method) (vectors_in_intervals.intervals.Interval method) (vectors_in_intervals.intervals.Intervals method)

are_parallel() (in module sign_vectors.utility) as_string() (sign_vectors.chirotopes.Chirotope method)

C

category() (elementary_vectors.functions.ElementaryVectors method) (sign_vectors.oriented_matroids.OrientedMatroid method) (sign_vectors.sign_vectors.SignVector method) (vectors_in_intervals.intervals.Interval method) (vectors_in_intervals.intervals.Intervals method) (vectors_in_intervals.linear_inequality_systems.HomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.InhomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.LinearInequalitySystem method) (vectors_in_intervals.utility.CombinationsIncluding method) certify() (vectors_in_intervals.linear_inequality_systems.HomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.InhomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.LinearInequalitySystem method) certify_nonexistence() (vectors_in_intervals.linear_inequality_systems.HomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.InhomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.LinearInequalitySystem method) Chirotope (class in sign_vectors.chirotopes) chirotope() (sign_vectors.oriented_matroids.OrientedMatroid method)

chirotope_as_string() (sign_vectors.oriented_matroids.OrientedMatroid method) chirotope_entry() (sign_vectors.oriented_matroids.OrientedMatroid method) circuit() (sign_vectors.oriented_matroids.OrientedMatroid method) circuits() (in module elementary_vectors.functions) (sign_vectors.oriented_matroids.OrientedMatroid method) classes_same_support() (in module sign_vectors.utility) closed() (vectors_in_intervals.intervals.Interval class method) cocircuit() (sign_vectors.oriented_matroids.OrientedMatroid method) cocircuits() (in module elementary_vectors.functions) (sign_vectors.oriented_matroids.OrientedMatroid method) CombinationsIncluding (class in vectors_in_intervals.utility) compose() (sign_vectors.sign_vectors.SignVector method) compose_harmonious() (sign_vectors.sign_vectors.SignVector method) compute_minors() (elementary_vectors.functions.ElementaryVectors method) conforms() (sign_vectors.sign_vectors.SignVector method) contraction() (in module sign_vectors.functions) covectors() (sign_vectors.oriented_matroids.OrientedMatroid method)

D

degenerate_elements() (elementary_vectors.functions.ElementaryVectors method) delete_components() (sign_vectors.sign_vectors.SignVector method) deletion() (in module sign_vectors.functions) dimension (sign_vectors.oriented_matroids.OrientedMatroid property) disjoint_support() (sign_vectors.sign_vectors.SignVector method) dual() (sign_vectors.chirotopes.Chirotope method) (sign_vectors.oriented_matroids.OrientedMatroid method) (vectors_in_intervals.linear_inequality_systems.HomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.InhomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.LinearInequalitySystem method) dump() (elementary_vectors.functions.ElementaryVectors method) (sign_vectors.oriented_matroids.OrientedMatroid method) (sign_vectors.sign_vectors.SignVector method) (vectors_in_intervals.intervals.Interval method) (vectors_in_intervals.intervals.Intervals method) (vectors_in_intervals.linear_inequality_systems.HomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.InhomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.LinearInequalitySystem method) (vectors_in_intervals.utility.CombinationsIncluding method)

dumps() (elementary_vectors.functions.ElementaryVectors method) (sign_vectors.oriented_matroids.OrientedMatroid method) (sign_vectors.sign_vectors.SignVector method) (vectors_in_intervals.intervals.Interval method) (vectors_in_intervals.intervals.Intervals method) (vectors_in_intervals.linear_inequality_systems.HomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.InhomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.LinearInequalitySystem method) (vectors_in_intervals.utility.CombinationsIncluding method)

E

element() (elementary_vectors.functions.ElementaryVectors method) elementary_vectors() (in module elementary_vectors.functions) elementary_vectors.functions module elementary_vectors.utility module

ElementaryVectors (class in elementary_vectors.functions) elements() (elementary_vectors.functions.ElementaryVectors method) (sign_vectors.oriented_matroids.OrientedMatroid method) empty() (vectors_in_intervals.intervals.Interval class method) entries() (sign_vectors.chirotopes.Chirotope method) entry() (sign_vectors.chirotopes.Chirotope method)

F

f_vector() (sign_vectors.oriented_matroids.OrientedMatroid method) face_lattice() (sign_vectors.oriented_matroids.OrientedMatroid method) faces() (sign_vectors.oriented_matroids.OrientedMatroid method) find_solution() (vectors_in_intervals.linear_inequality_systems.HomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.InhomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.LinearInequalitySystem method) flip_signs() (sign_vectors.sign_vectors.SignVector method) from_bounds() (vectors_in_intervals.intervals.Intervals class method) from_chirotope() (sign_vectors.oriented_matroids.OrientedMatroid static method) from_chirotope_class() (sign_vectors.oriented_matroids.OrientedMatroid static method)

from_circuits() (sign_vectors.chirotopes.Chirotope static method) (sign_vectors.oriented_matroids.OrientedMatroid static method) from_cocircuits() (sign_vectors.chirotopes.Chirotope static method) (sign_vectors.oriented_matroids.OrientedMatroid static method) from_iterable() (sign_vectors.sign_vectors.SignVector class method) from_list() (sign_vectors.chirotopes.Chirotope static method) from_matrix() (sign_vectors.chirotopes.Chirotope static method) from_sign_vector() (vectors_in_intervals.intervals.Intervals class method) from_string() (sign_vectors.sign_vectors.SignVector class method) from_support() (sign_vectors.sign_vectors.SignVector class method) from_topes() (sign_vectors.oriented_matroids.OrientedMatroid static method)

G

generator() (elementary_vectors.functions.ElementaryVectors method) getrandbits() (in module vectors_in_intervals.intervals)

ground_set (sign_vectors.oriented_matroids.OrientedMatroid property) ground_set_size (sign_vectors.oriented_matroids.OrientedMatroid property)

H

HomogeneousSystem (class in vectors_in_intervals.linear_inequality_systems)

I

infimum() (vectors_in_intervals.intervals.Interval method) InhomogeneousSystem (class in vectors_in_intervals.linear_inequality_systems) Interval (class in vectors_in_intervals.intervals) Intervals (class in vectors_in_intervals.intervals) intervals (vectors_in_intervals.linear_inequality_systems.HomogeneousSystem property) (vectors_in_intervals.linear_inequality_systems.InhomogeneousSystem property) (vectors_in_intervals.linear_inequality_systems.LinearInequalitySystem property) is_bounded() (vectors_in_intervals.intervals.Interval method) (vectors_in_intervals.intervals.Intervals method) is_closed() (vectors_in_intervals.intervals.Interval method) (vectors_in_intervals.intervals.Intervals method)

is_empty() (vectors_in_intervals.intervals.Interval method) (vectors_in_intervals.intervals.Intervals method) is_harmonious_to() (sign_vectors.sign_vectors.SignVector method) is_open() (vectors_in_intervals.intervals.Interval method) (vectors_in_intervals.intervals.Intervals method) is_orthogonal_to() (sign_vectors.sign_vectors.SignVector method) is_pointed() (vectors_in_intervals.intervals.Interval method) (vectors_in_intervals.intervals.Intervals method) is_symbolic() (in module elementary_vectors.utility) is_unbounded() (vectors_in_intervals.intervals.Interval method) (vectors_in_intervals.intervals.Intervals method) is_vector() (sign_vectors.sign_vectors.SignVector method)

K

kernel_matrix_using_elementary_vectors() (in module elementary_vectors.functions)

L

length() (sign_vectors.sign_vectors.SignVector method) LinearInequalitySystem (class in vectors_in_intervals.linear_inequality_systems)

list_from_positions() (sign_vectors.sign_vectors.SignVector method) loops() (sign_vectors.oriented_matroids.OrientedMatroid method) lower_closure() (in module sign_vectors.functions)

M

matrix (vectors_in_intervals.linear_inequality_systems.HomogeneousSystem property) (vectors_in_intervals.linear_inequality_systems.InhomogeneousSystem property) (vectors_in_intervals.linear_inequality_systems.LinearInequalitySystem property) MaxIterationsReachedError minor() (elementary_vectors.functions.ElementaryVectors method) module elementary_vectors.functions elementary_vectors.utility sign_vectors.chirotopes sign_vectors.functions sign_vectors.oriented_matroids sign_vectors.sign_vectors sign_vectors.utility vectors_in_intervals.intervals vectors_in_intervals.linear_inequality_systems vectors_in_intervals.utility

MultipleException

N

negative_support() (sign_vectors.sign_vectors.SignVector method)

num_faces() (sign_vectors.oriented_matroids.OrientedMatroid method)

O

open() (vectors_in_intervals.intervals.Interval class method)

oriented_matroid() (sign_vectors.chirotopes.Chirotope method) OrientedMatroid (class in sign_vectors.oriented_matroids)

P

parallel_classes() (in module sign_vectors.utility) (sign_vectors.oriented_matroids.OrientedMatroid method) parent() (elementary_vectors.functions.ElementaryVectors method) (sign_vectors.oriented_matroids.OrientedMatroid method) (sign_vectors.sign_vectors.SignVector method) (vectors_in_intervals.intervals.Interval method) (vectors_in_intervals.intervals.Intervals method) (vectors_in_intervals.linear_inequality_systems.HomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.InhomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.LinearInequalitySystem method) (vectors_in_intervals.utility.CombinationsIncluding method)

plot() (sign_vectors.oriented_matroids.OrientedMatroid method) plot_sign_vectors() (in module sign_vectors.functions) positive_parallel_classes() (in module sign_vectors.utility) positive_support() (sign_vectors.sign_vectors.SignVector method) ProcessStoppedError

R

random() (vectors_in_intervals.intervals.Interval class method) (vectors_in_intervals.intervals.Intervals class method) random_element() (elementary_vectors.functions.ElementaryVectors method) random_sign_vector() (in module sign_vectors.sign_vectors) rank (sign_vectors.oriented_matroids.OrientedMatroid property) rename() (elementary_vectors.functions.ElementaryVectors method) (sign_vectors.oriented_matroids.OrientedMatroid method) (sign_vectors.sign_vectors.SignVector method) (vectors_in_intervals.intervals.Interval method) (vectors_in_intervals.intervals.Intervals method) (vectors_in_intervals.linear_inequality_systems.HomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.InhomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.LinearInequalitySystem method) (vectors_in_intervals.utility.CombinationsIncluding method)

reset_name() (elementary_vectors.functions.ElementaryVectors method) (sign_vectors.oriented_matroids.OrientedMatroid method) (sign_vectors.sign_vectors.SignVector method) (vectors_in_intervals.intervals.Interval method) (vectors_in_intervals.intervals.Intervals method) (vectors_in_intervals.linear_inequality_systems.HomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.InhomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.LinearInequalitySystem method) (vectors_in_intervals.utility.CombinationsIncluding method)

S

save() (elementary_vectors.functions.ElementaryVectors method) (sign_vectors.oriented_matroids.OrientedMatroid method) (sign_vectors.sign_vectors.SignVector method) (vectors_in_intervals.intervals.Interval method) (vectors_in_intervals.intervals.Intervals method) (vectors_in_intervals.linear_inequality_systems.HomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.InhomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.LinearInequalitySystem method) (vectors_in_intervals.utility.CombinationsIncluding method) separating_elements() (sign_vectors.sign_vectors.SignVector method) set_face_connections() (sign_vectors.oriented_matroids.OrientedMatroid method) set_to_minus() (sign_vectors.sign_vectors.SignVector method) set_to_plus() (sign_vectors.sign_vectors.SignVector method) set_to_zero() (sign_vectors.sign_vectors.SignVector method) Sign (class in sign_vectors.chirotopes) sign_symbolic() (in module sign_vectors.sign_vectors) sign_vector() (in module sign_vectors.sign_vectors)

sign_vectors() (vectors_in_intervals.intervals.Intervals method) sign_vectors.chirotopes module sign_vectors.functions module sign_vectors.oriented_matroids module sign_vectors.sign_vectors module sign_vectors.utility module SignVector (class in sign_vectors.sign_vectors) simplest_element() (vectors_in_intervals.intervals.Interval method) (vectors_in_intervals.intervals.Intervals method) solve_without_division() (in module vectors_in_intervals.utility) support() (sign_vectors.sign_vectors.SignVector method) supremum() (vectors_in_intervals.intervals.Interval method)

T

to_homogeneous() (vectors_in_intervals.linear_inequality_systems.HomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.InhomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.LinearInequalitySystem method) to_inhomogeneous() (vectors_in_intervals.linear_inequality_systems.HomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.InhomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.LinearInequalitySystem method)

to_string() (sign_vectors.sign_vectors.SignVector method) topes() (sign_vectors.oriented_matroids.OrientedMatroid method)

U

upper_closure() (in module sign_vectors.functions)

V

vectors() (sign_vectors.oriented_matroids.OrientedMatroid method) vectors_in_intervals.intervals module

vectors_in_intervals.linear_inequality_systems module vectors_in_intervals.utility module

W

with_intervals() (vectors_in_intervals.linear_inequality_systems.HomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.InhomogeneousSystem method) (vectors_in_intervals.linear_inequality_systems.LinearInequalitySystem method)

with_traceback() (elementary_vectors.functions.MultipleException method) (vectors_in_intervals.linear_inequality_systems.MaxIterationsReachedError method) (vectors_in_intervals.linear_inequality_systems.ProcessStoppedError method)

Z

zero() (sign_vectors.sign_vectors.SignVector class method)

zero_sign_vector() (in module sign_vectors.sign_vectors) zero_support() (sign_vectors.sign_vectors.SignVector method)