Results 31 to 40 of about 231,503 (267)

Sparse Representations of Clifford and Tensor algebras in Maxima

, 2016
Clifford algebras have broad applications in science and engineering. The use of Clifford algebras can be further promoted in these fields by availability of computational tools that automate tedious routine calculations.
Prodanov, Dimiter, Toth, Viktor T.
core   +1 more source

Algebra of Complex Vectors and Applications in Electromagnetic Theory and Quantum Mechanics

Mathematics, 2015
A complex vector is a sum of a vector and a bivector and forms a natural extension of a vector. The complex vectors have certain special geometric properties and considered as algebraic entities. These represent rotations along with specified orientation
Kundeti Muralidhar
doaj   +1 more source

A use of geometric calculus to reduce Berezin integral to the limit of a Riemann sum

, 2019
Berezin integration of functions of anticommuting Grassmann variables is usually seen as a formal operation, sometimes even defined via differentiation.
Scanlon, Thomas, Sverdlov, Roman
core   +1 more source

Developing GA-FuL: A Generic Wide-Purpose Library for Computing with Geometric Algebra

Mathematics
The Geometric Algebra Fulcrum Library (GA-FuL) version 1.0 is introduced in this paper as a comprehensive computational library for geometric algebra (GA) and Clifford algebra (CA), in addition to other classical algebras.
Ahmad Hosny Eid, Francisco G. Montoya
doaj   +1 more source

An Analysis of the Quantum Penny Flip Game using Geometric Algebra

, 2009
We analyze the quantum penny flip game using geometric algebra and so determine all possible unitary transformations which enable the player Q to implement a winning strategy.
Benjamin S. C., Cheon T., Doran C., Du J., Eisert J., Hestenes D., Hestenes D., Hestenes D., Ichikawa T., Ichikawa T., Iqbal A., Johnson N. F., Meyer D. A., Meyer D. A., Nielsen M. A., Piotrowski E. W., Rasmusen E., Shimamura J., Shimamura J., Vaidman L., van Enk S. J., Özdemir Ş. K., Özdemir Ş. K.   +22 more
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Geometric Vertex Algebras

, 2020
Stronger associativity axiom.
openaire   +3 more sources

Braiding via geometric Lie algebra actions

, 2011
We introduce the idea of a geometric categorical Lie algebra action on derived categories of coherent sheaves. The main result is that such an action induces an action of the braid group associated to the Lie algebra.
Beilinson, Huybrechts, Joel Kamnitzer, Sabin Cautis, Seidel   +4 more
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Geometric Algebra Techniques in Flux Compactifications

Advances in High Energy Physics, 2016
We study “constrained generalized Killing (s)pinors,” which characterize supersymmetric flux compactifications of supergravity theories. Using geometric algebra techniques, we give conceptually clear and computationally effective methods for translating ...
Calin Iuliu Lazaroiu, Elena Mirela Babalic, Ioana Alexandra Coman   +2 more
doaj   +1 more source

Geometric algebra approach to analyzing the singularity of six-DOF parallel mechanism

Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2019
Singular configurations must be avoided in the practical manipulation of parallel mechanism. This paper presents an approach of singularities analysis of six degrees of freedom (DOF) parallel mechanism applying geometric algebra.
Shili CHENG, Ping JI
doaj   +1 more source

Maxwell symmetries and some applications

, 2012
The Maxwell algebra is the result of enlarging the Poincar\'{e} algebra by six additional tensorial Abelian generators that make the fourmomenta non-commutative.
Bandos I., Bandos I. A., Bonanos S., de Azcárraga J. A., Ford L. H., Vasiliev M.   +5 more
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