Results 11 to 20 of about 318,184 (274)
Lie Algebra Computations [PDF]
Acta Applicandae Mathematicae, 1989 In the context of analysing nonlinear evolution equations by the prolongation method, there arises the problem of determining a Lie algebra given a certain number of relations between some of the Lie products and some of the generators. Except in very easy cases this involves a lot of algebraic manipulation, albeit of a very routine nature.
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Discrete and Continuous Models and Applied Computational Science, 2021 Center for Computational Methods in Applied Mathematics of RUDN, Professor V.P. Gerdt, whose passing was a great loss to the scientific center and the computer algebra community. The article provides biographical information about V.P. Gerdt, talks about
Victor F. Edneral
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Feynman-diagram evaluation in the electroweak theory with computer algebra [PDF]
, 2001 The evaluation of quantum corrections in the theory of the electroweak and strong interactions via higher-order Feynman diagrams requires complicated and laborious calculations, which however can be structured in a strictly algorithmic way.
Weiglein, G.
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Subsumption computed algebraically
Computers & Mathematics with Applications, 1992 AbstractThis paper deals with terminological representation languages for KL-ONE-type knowledge representation systems. Such languages are based on the two primitive syntactic types called concepts and roles, which are usually represented model-theoretically as sets and binary relations, respectively. Rather than following the model-theoretic route, we
Brink, C., Schmidt, R.
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The Essentials of Clifford Algebras with Maple Programming
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021 Clifford algebra (geometric algebra) which has many applications in physics, robotics, CAD (Computer-Aided Design) /CAM (Computer-Aided Manufacture), computer graphics, image processing, etc. is one of the important subjects in mathematics. In this paper,
Mutlu Akar
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Computer algebra in gravity: Programs for (non-)Riemannian spacetimes. I [PDF]
, 1998 Computer algebra programs are presented for application in general relativity, in electrodynamics, and in gauge theories of gravity. The mathematical formalism used is the calculus of exterior differential forms, the computer algebra system applied Hearn'
Hehl, Friedrich W. +2 more
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USE OF COMPUTER ALGEBRA SYSTEM MAXIMA IN THE PROCESS OF TEACHING FUTURE MATHEMATICS TEACHERS
Інформаційні технології і засоби навчання, 2019 The article is devoted to the research of a problem of the application of computer algebra systems in the course of skill training of future mathematics teachers.
Vladyslav Ye. Velychko +2 more
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Hypercompositional Algebra, Computer Science and Geometry
Mathematics, 2020 The various branches of Mathematics are not separated between themselves. On the contrary, they interact and extend into each other’s sometimes seemingly different and unrelated areas and help them advance. In this sense, the Hypercompositional Algebra’s
Gerasimos Massouros, Christos Massouros
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Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovThis article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Ren Y, Wei GW.
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