geometric algebra (also known as a Clifford algebra) is an algebra that can represent and manipulate geometrical objects such as vectors. Geometric algebra...

In mathematics, a universal geometric algebra is a type of geometric algebra generated by real vector spaces endowed with an indefinite quadratic form...

Conformal geometric algebra (CGA) is the geometric algebra constructed over the resultant space of a map from points in an n-dimensional base space Rp...

of symbolic algebra, a geometric constructive algebra was developed by classical Greek and Vedic Indian mathematicians in which algebraic equations were...

Plane-based geometric algebra is an application of Clifford algebra to modelling planes, lines, points, and rigid transformations. Generally this is with...

geometric algebra is a specific algebraic structure. The term is also used as a blanket term for the theory of geometric algebras. Geometric algebra may...

Geometric algebra is an extension of vector algebra, providing additional algebraic structures on vector spaces, with geometric interpretations. Vector...

physicist and science educator. He is best known as chief architect of geometric algebra as a unified language for mathematics and physics, and as founder...

Geometric Algebra is a book written by Emil Artin and published by Interscience Publishers, New York, in 1957. It was republished in 1988 in the Wiley...

means of algebraic methods of some geometrical shapes, called algebraic sets, and defined as common zeros of multivariate polynomials. Algebraic geometry...

The term "versor" is generalised in geometric algebra to indicate a member R {\displaystyle R} of the algebra that can be expressed as the product of...

derived. More generally, in n-dimensional geometric algebra, pseudovectors are the elements of the algebra with dimension n − 1, written ⋀n−1Rn. The label...

Multilinear Algebra. Hogben, L, ed. (2007). Handbook of Linear Algebra.[page needed] Arthur, John W. (2011). Understanding Geometric Algebra for Electromagnetic...

spacetime algebra (STA) is the application of Clifford algebra Cl1,3(R), or equivalently the geometric algebra G(M4) to physics. Spacetime algebra provides...

number in number theory, and the geometrical concept of contact between two algebraic or analytic varieties in algebraic geometry. A field with a valuation...

In mathematics, geometric calculus extends geometric algebra to include differentiation and integration. The formalism is powerful and can be shown to...

generalize to higher dimensions, but the alternative approach of geometric algebra, which uses the exterior product, does (see § Generalizations below...

In physics, the algebra of physical space (APS) is the use of the Clifford or geometric algebra Cl3,0(R) of the three-dimensional Euclidean space as a...

cross products like this. The product can also be calculated using geometric algebra of a seven-dimensional vector space with a positive-definite quadratic...

mathematics, a Clifford algebra is an algebra generated by a vector space with a quadratic form, and is a unital associative algebra with the additional structure...

what is now termed geometric algebra, a special case of the Clifford algebra named in his honour. The operations of geometric algebra have the effect of...

concerning algebra: John Wallis's 1685 Treatise of algebra (Thesis). The Open University Press. Helena M. Pycior : Symbols, Impossible Numbers, and Geometric Entanglements:...

mathematics, and more specifically in abstract algebra, a *-algebra (or involutive algebra; read as "star-algebra") is a mathematical structure consisting of...

ISBN 978-3-540-89067-6, MR 2723749 Hongbo Li; Olver, Peter J. (2004), Computer Algebra and Geometric Algebra with Applications: 6th International Workshop, IWMM 2004, GIAE...

A non-associative algebra (or distributive algebra) is an algebra over a field where the binary multiplication operation is not assumed to be associative...

Operating Officer. Doran obtained his Ph.D. in 1994 on the topic of Geometric Algebra and its Application to Mathematical Physics. He was an EPSRC Advanced...

teaching them. Hamilton's treatment is more geometric than the modern approach, which emphasizes quaternions' algebraic properties. He founded a school of "quaternionists"...

from the geometric algebra, a higher level abstraction, in which the quaternions are an even subalgebra. The principal tool in geometric algebra is the...

three-dimensional Snellius-Pothenot problem via Vector Geometric Algebra and Conformal Geometric Algebra. The authors also characterize the solutions' sensitivity...

Grothendieck in the 1980s that describes the way a geometric object of an algebraic variety (such as an algebraic fundamental group) can be mapped into another...