Results 131 to 140 of about 1,958 (231)

A Theory of Neural Computation with Clifford Algebras [PDF]

open access: yes, 2005
The present thesis introduces Clifford Algebra as a framework for neural computation. Neural computation with Clifford algebras is model-based. This principle is established by constructing Clifford algebras from quadratic spaces.
Buchholz, Sven
core  

Clifford algebras obtained by twisting of group algebras

open access: yes, 2002
We investigate the construction and properties of Clifford algebras by a similar manner as our previous construction of the octonions, namely as a twisting of group algebras of Z2n by a cocycle.
Majid, Shahn, Albuquerque, Helena
core   +1 more source

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

open access: yesAdv Appl Clifford Algebr, 2021
Scharler DF, Schröcker HP.
europepmc   +1 more source

Clifford algebras: an introduction

open access: yes, 2011
A straightforward introduction to Clifford algebras, providing the necessary background material and many applications in mathematics and ...
Garling, D.J.H
core  

Clifford Algebras and Their Decomposition into Conjugate Fermionic Heisenberg Algebras

open access: yes, 2016
We discuss a construction scheme for Clifford numbers of arbitrary dimension. The scheme is based upon performing direct products of the Pauli spin and identity matrices.
Catto, Sultan   +4 more
core  

Geometric algebra generation of molecular surfaces. [PDF]

open access: yesJ R Soc Interface, 2022
Alfarraj A, Wei GW, Wei GW.
europepmc   +1 more source

Coproducts for Clifford algebras

open access: yes, 2004
We define a family of graded coproducts for Clifford algebras over finite dimensional real or complex vector spaces and study their basic ...
Pavle Pandžić, Pandžić, Pavle
core  

Extended Supersymmetries in One Dimension

open access: yesActa Polytechnica, 2008
This work covers part of the material presented at the Advanced Summer School in Prague. It is mostly devoted to the structural properties of Extended Supersymmetries in One Dimension.
F. Toppan
doaj  

Efficient Unitary Designs with a System-Size Independent Number of Non-Clifford Gates. [PDF]

open access: yesCommun Math Phys, 2023
Haferkamp J   +5 more
europepmc   +1 more source

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