Definition of Bivector. Meaning of Bivector. Synonyms of Bivector

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

Definition of Bivector

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 Bivector from wikipedia

- In mathematics, a bivector or 2-vector is a quantity in exterior algebra or geometric algebra that extends the idea of scalars and vectors. Considering...
- a bivector is the vector part of a biquaternion. For biquaternion q = w + xi + yj + zk, w is called the biscalar and xi + yj + zk is its bivector part...
- bracket of the coordinate functions. A Poisson bivector on a smooth manifold M {\displaystyle M} is a bivector field π ∈ X 2 ( M ) := Γ ( ∧ 2 T M ) {\displaystyle...
- 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...
- graded multivectors: scalars are grade 0, usual vectors are grade 1, bivectors are grade 2 and the highest grade (3 in the 3D case) is traditionally...
- (sometimes called the field strength tensor, Faraday tensor or Maxwell bivector) is a mathematical object that describes the electromagnetic field in spacetime...
- number) part and a bivector part. (A scalar is a quantity with no orientation, a vector is a quantity oriented like a line, and a bivector is a quantity oriented...
- geometric algebra, with the planes of rotations ****ociated with simple bivectors in the algebra. Planes of rotation are not used much in two and three...
- 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...
- or wedge product – a binary operation on two vectors that results in a bivector. In Euclidean 3-space, the wedge product a ∧ b {\displaystyle \mathbf {a}...