Geometric algebra: In mathematics, a geometric algebra (also known as a real Clifford algebra) is an extension of elementary algebra to work with geometrical objects such as vectors. Geometric algebra is built out of two fundamental operations, addition and the geometric product. (Algebraic structure designed for geometry) [100%] 2023-09-04 [Geometric algebra]
Geometric algebra: In mathematics, a geometric algebra (also known as a real Clifford algebra) is an extension of elementary algebra to work with geometrical objects such as vectors. Geometric algebra is built out of two fundamental operations, addition and the geometric product. (Algebraic structure designed for geometry) [100%] 2023-09-08 [Geometric algebra]
Conformal geometric algebra: Conformal geometric algebra (CGA) is the geometric algebra constructed over the resultant space of a map from points in an n-dimensional base space R to null vectors in R. This allows operations on the base space, including reflections, rotations ... [81%] 2022-08-30 [Geometric algebra] [Conformal geometry]...
Quadric geometric algebra: Quadric geometric algebra (QGA) is a geometrical application of the \displaystyle{ \mathcal{G}_{6, 3} }[/math] geometric algebra. This algebra is also known as the \displaystyle{ \mathcal{C} \ell_{6, 3} }[/math] Clifford algebra. [81%] 2022-08-25 [Clifford algebras] [Geometric algebra]...
Universal 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. Some authors restrict this to the infinite-dimensional case. [81%] 2023-12-29 [Geometric algebra]
Investigating 3D geometric algebra: Geometric algebra has been around since the work of William Clifford in the 19th Century but was relatively unknown until a resurgence in the 1980's through the work of David Hestenes. Since then, Geometric algebra has become a popular ... [70%] 2023-04-11 [Mathematics] [Computer science]...
Comparison of vector algebra and geometric algebra: Geometric algebra is an extension of vector algebra, providing additional algebraic structures on vector spaces, with geometric interpretations. Vector algebra uses all dimensions and signatures, as does geometric algebra, notably 3+1 spacetime as well as 2 dimensions. [63%] 2023-11-22 [Geometric algebra] [Vector calculus]...