Definition of Multivectors. Meaning of Multivectors. Synonyms of Multivectors

- the origin of R3. Thus, multivectors defined on Rn+1 can be viewed as multivectors on Pn. A convenient way to view a multivector on Pn is to examine it...
- 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...
- pairs, triplets, and multivectors that generalize vectors. With multiple combinational possibilities, the space of multivectors expands to 2n dimensions...
- {\displaystyle A} , where X {\displaystyle X} and A {\displaystyle A} are multivectors, is defined as A ∗ ∂ X F ( X ) = lim ϵ → 0 F ( X + ϵ A ) − F ( X ) ϵ...
- encountered to describe multivectors containing elements of only one grade. In higher dimensional space, some such multivectors are not blades (cannot...
- scalar plus a bivector. The geometric product is well defined for any multivectors as arguments. A bilinear product in an algebra over a field. A Lie bracket...
- ISBN 978-1-58488-772-0. William E Baylis (2004). "§4.2.3 Higher-grade multivectors in Cℓn: Duals". Lectures on Clifford (geometric) algebras and applications...
- Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable tensors Mathematicians...
- vector space and its dual Left contraction and right contraction of multivectors in a geometric algebra, extensions of the inner product One of the rules...
- Fiber bundle Geodesic Levi-Civita connection Linear map Manifold Matrix Multivector Pseudotensor Spinor Vector Vector space Notable tensors Mathematicians...