- In
multilinear algebra, a
multivector,
sometimes called Clifford number or multor, is an
element of the
exterior algebra Λ(V) of a
vector space V. This...
- to a
general multivector,
called the
multivector derivative. Let F {\displaystyle F} be a
multivector-valued
function of a
multivector. The directional...
-
Multiplication of
vectors results in higher-dimensional
objects called multivectors.
Compared to
other formalisms for mani****ting
geometric objects, geometric...
- In
differential geometry, a
field in mathematics, a
multivector field,
polyvector field of
degree k {\displaystyle k} , or k {\displaystyle k} -vector...
- Cleven(V)
consisting of
multivectors R such that R R ~ = 1. {\displaystyle R{\tilde {R}}=1.} That is, it
consists of
multivectors that can be
written as...
-
respect to each argument. It
involves concepts such as matrices, tensors,
multivectors,
systems of
linear equations, higher-dimensional spaces, determinants...
- as the
Schouten bracket, is a type of
graded Lie
bracket defined on
multivector fields on a
smooth manifold extending the Lie
bracket of
vector fields...
-
while a more
general sum of
blades of
arbitrary degree is
called a
multivector. The
linear span of the k {\displaystyle k} -blades is
called the k {\displaystyle...
-
historical reasons.
Vector quaternion, a
quaternion with a zero real part
Multivector or p-vector, an
element of the
exterior algebra of a
vector space. Spinors...
- and physics, k-vector may
refer to: A wave
vector k
Crystal momentum A
multivector of
grade k, also
called a k-vector, the dual of a
differential k-form...
