Definition of Bivectors. Meaning of Bivectors. Synonyms of Bivectors

Here you will find one or more explanations in English for the word Bivectors. Also in the bottom left of the page several parts of wikipedia pages related to the word Bivectors and, of course, Bivectors synonyms and on the right images related to the word Bivectors.

Definition of Bivectors

Bivector
Bivector Bi*vec"tor, n. [Pref. bi- + vector.] (Math.) A term made up of the two parts ? + ?1 ?-1, where ? and ?1 are vectors.

Meaning of Bivectors from wikipedia

- a bivector, as is any sum of bivectors. Not all bivectors can be expressed as an exterior product without such summation. More precisely, a bivector that...
- six-dimensional bivectors in four dimensions. These can be written Λ 2 R 4 {\displaystyle \Lambda ^{2}\mathbb {R} ^{4}} for the set of bivectors in Euclidean...
- Lorentz group can be considered to be that of bivectors under commutation. [...] The Lie algebra of bivectors is essentially that of complex 3-vectors, with...
- to lines, so are bivectors to planes. So every plane (in any dimension) can be ****ociated with a bivector, and every simple bivector is ****ociated with...
- vectors are multiplied. Bivectors are connected to pseudovectors, and are used to represent rotations in geometric algebra. As bivectors are elements of a vector...
- a unique smooth bivector field π ∈ X 2 ( M ) {\displaystyle \pi \in {\mathfrak {X}}^{2}(M)} . Conversely, given any smooth bivector field π {\displaystyle...
- (sometimes called the field strength tensor, Faraday tensor or Maxwell bivector) is a mathematical object that describes the electromagnetic field in spacetime...
- of a bivector and vector. In three dimensions bivectors are dual to vectors so the product is equivalent to the cross product, with the bivector instead...
- numbers. In this interpretation points, vectors, and sums of scalars and bivectors are all distinct types of geometric objects. More generally, in the geometric...
- interpretation and make up distinct subspaces of a geometric algebra. Bivectors provide a more natural representation of the pseudovector quantities of...