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...

Grassmann–Cayley algebra. In the late 1990s, plane-based geometric algebra and conformal geometric algebra (CGA) respectively provided a framework for euclidean...

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

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

mathematics, a vertex operator algebra (VOA) is an algebraic structure that plays an important role in two-dimensional conformal field theory and string theory...

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

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

conformal geometry is the study of the set of angle-preserving (conformal) transformations on a space. In a real two dimensional space, conformal geometry...

infinite-dimensional algebra of local conformal transformations, and conformal field theories can sometimes be exactly solved or classified. Conformal field theory...

of conformal geometric algebra to computer vision and graphics". In Hongbo Li; Peter J Olver & Gerald Sommer (eds.). Computer algebra and geometric algebra...

A rotor is an object in the geometric algebra (also called Clifford algebra) of a vector space that represents a rotation about the origin. The term originated...

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...

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

called the conformal orthogonal group, the conformal linear transformation group or the homogeneous similtude group. Alternatively any conformal linear transformation...

Hilbert space Vertex operator algebra – Algebra used in 2D conformal field theories and string theory Theory of Operator Algebras I By Masamichi Takesaki,...

of conformal geometric algebra in computer vision and graphics". In Hongbo Li; Peter J. Olver; Gerald Sommer (eds.). Computer algebra and geometric algebra...

sub-groups of other transformation groups. Many geometric transformations are expressed with linear algebra. The bijective linear transformations are elements...

(2005). "Application of conformal geometric algebra in computer vision and graphics". Computer algebra and geometric algebra with applications. Springer...

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

Geometric group theory is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties...

In mathematics, the geometric Langlands correspondence relates algebraic geometry and representation theory. It is a reformulation of the Langlands correspondence...

often treated at the algebra level, and is generated by the super-Poincaré algebra. The super-conformal group is the group of conformal symmetries of superspace...

representations of Lie groups. Most recently, it led Hestenes to formulate conformal geometric algebra, a new approach to computational geometry. This has found a rapidly...

{d}{dt}}} . It is required to define affine Lie algebras, which are used in physics, particularly conformal field theory. Similarly, a set of all smooth...

The following are some of the most important topics in geometric function theory: A conformal map is a function which preserves angles locally. In the...

{C}}\ell _{6,3}} Clifford algebra. QGA is a super-algebra over G 4 , 1 {\displaystyle {\mathcal {G}}_{4,1}} conformal geometric algebra (CGA) and G 1 , 3 {\displaystyle...

package Composite Gazetteer of Antarctica, geographical directory Conformal geometric algebra Consumer Guarantees Act, a 1993 New Zealand law Corner Gas Animated...

orientation. Conformal maps preserve both angles and the shapes of infinitesimally small figures, but not necessarily their size or curvature. The conformal property...

Clifford algebra Euclidean plane isometry Affine transformation Projective plane Homogeneous coordinates SLERP Conformal geometric algebra Matsuda, Genki;...

in 1850, is a rigidity theorem about conformal mappings in Euclidean space. It states that every smooth conformal mapping on a domain of Rn, where n >...