VectorSpace SΒΆ

catdef.spad line 1521

Vector Spaces (not necessarily finite dimensional) over a field.

0: %
from AbelianMonoid
*: (%, S) -> %
from RightModule S
*: (Integer, %) -> %
from AbelianGroup
*: (NonNegativeInteger, %) -> %
from AbelianMonoid
*: (PositiveInteger, %) -> %
from AbelianSemiGroup
*: (S, %) -> %
from LeftModule S
+: (%, %) -> %
from AbelianSemiGroup
-: % -> %
from AbelianGroup
-: (%, %) -> %
from AbelianGroup
/: (%, S) -> %
x/y divides the vector x by the scalar y.
=: (%, %) -> Boolean
from BasicType
~=: (%, %) -> Boolean
from BasicType
coerce: % -> OutputForm
from CoercibleTo OutputForm
dimension: () -> CardinalNumber
dimension() returns the dimensionality of the vector space.
hash: % -> SingleInteger
from SetCategory
hashUpdate!: (HashState, %) -> HashState
from SetCategory
latex: % -> String
from SetCategory
opposite?: (%, %) -> Boolean
from AbelianMonoid
sample: %
from AbelianMonoid
subtractIfCan: (%, %) -> Union(%, failed)
from CancellationAbelianMonoid
zero?: % -> Boolean
from AbelianMonoid

AbelianGroup

AbelianMonoid

AbelianSemiGroup

BasicType

BiModule(S, S)

CancellationAbelianMonoid

CoercibleTo OutputForm

LeftModule S

Module S

RightModule S

SetCategory