Results 81 to 90 of about 245 (169)

Clifford Geometric Algebras in Multilinear Algebra and Non-Euclidean Geometries [PDF]

, 2006
Given a quadratic form on a vector space, the geometric algebra of the corresponding pseudo-euclidean space is defined in terms of a simple set of rules which characterizes the geometric product of vectors. We develop geometric algebra in such a way that it augments, but remains fully compatible with, the more traditional tools of matrix algebra ...
openaire   +1 more source

The Study Variety of Conformal Kinematics. [PDF]

Adv Appl Clifford Algebr, 2022
Kalkan B, Li Z, Schröcker HP, Siegele J.   +3 more
europepmc   +1 more source

Differentials of the basis in Clifford Geometric Algebra

Journal of AppliedMath
In this paper we discuss the dynamic effects of the varying frames. The differential of frame or basis vectors is always equivalent to a linear transformation of the frame, and the linear transformation is not the same in different contexts. In differential geometry, the linear transformation is the connection operator.
openaire   +1 more source

Response to 'Comment on "Quantum correlations are weaved by the spinors of the Euclidean primitives"'. [PDF]

R Soc Open Sci, 2022
Christian J.
europepmc   +1 more source

Correction: Gill, R.D. Does Geometric Algebra Provide a Loophole to Bell's Theorem? Entropy 2020, 22, 61. [PDF]

Entropy (Basel), 2021
Gill RD.
europepmc   +1 more source

Corrigendum: Clifford Fuzzy Support Vector Machine for Regression and Its Application in Electric Load Forecasting of Energy System

Frontiers in Energy Research, 2022
Rui Wang, Xiaoyi Xia, Yanping Li, Wenming Cao   +3 more
doaj   +1 more source

An Algorithm for the Factorization of Split Quaternion Polynomials. [PDF]

Adv Appl Clifford Algebr, 2021
Scharler DF, Schröcker HP.
europepmc   +1 more source

Study on Spatial Geometric Similarity Based on Conformal Geometric Algebra. [PDF]

Int J Environ Res Public Health, 2022
Jiang X, Huang Y, Zhang F.
europepmc   +1 more source

Direct Construction of Grassmann, Clifford and Geometric Algebras

, 2010
This is a simple way rigorously to construct Grassmann, Clifford and Geometric Algebras, allowing degenerate bilinear forms, infinite dimension, using fields or certain modules (characteristic 2 with limitation) - and characterize the algebras in a coordinate free form.
openaire   +2 more sources

Geometric Algebra-Based ESPRIT Algorithm for DOA Estimation. [PDF]

Sensors (Basel), 2021
Wang R, Wang Y, Li Y, Cao W, Yan Y.
europepmc   +1 more source