Results 11 to 20 of about 569,781 (362)
Function Theories in Cayley-Dickson Algebras and Number Theory [PDF]
Milan Journal of Mathematics, 2021 AbstractIn the recent years a lot of effort has been made to extend the theory of hyperholomorphic functions from the setting of associative Clifford algebras to non-associative Cayley-Dickson algebras, starting with the octonions.An important question is whether there appear really essentially different features in the treatment with Cayley-Dickson ...
R. S. Kraußhar
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Unordered Tuples in Quantum Computation [PDF]
Electronic Proceedings in Theoretical Computer Science, 2015 It is well known that the C*-algebra of an ordered pair of qubits is M_2 (x) M_2. What about unordered pairs? We show in detail that M_3 (+) C is the C*-algebra of an unordered pair of qubits. Then we use Schur-Weyl duality to characterize the C*-algebra
Robert Furber, Bas Westerbaan
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, 2002 Public-key cryptosystems are based on modular arithmetic. In this section, we summarize the concepts and results from algebra and number theory which are necessary for an understanding of the cryptographic methods. Textbooks on number theory and modular arithmetic include [HarWri79], [IreRos82], [Rose94], [Forster96] and [Rosen2000].
Hans Delfs, Helmut Knebl
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On Tools for Completeness of Kleene Algebra with Hypotheses [PDF]
Logical Methods in Computer Science, 2022 In the literature on Kleene algebra, a number of variants have been proposed which impose additional structure specified by a theory, such as Kleene algebra with tests (KAT) and the recent Kleene algebra with observations (KAO), or make specific ...
Damien Pous +2 more
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Buildings, 2023 An algebraic approach to the design of resource-efficient carbon-reinforced concrete structures is presented. Interdisciplinary research in the fields of mathematics and algebra on the one hand and civil engineering and concrete structures on the other ...
Sascha Stüttgen +5 more
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New family of special numbers associated with finite operator [PDF]
Mathematica Moravica, 2020 Using the notion of the generating function of a function, we define an operator with whom we manage to build a large family of numbers and polynomials. This technique permits to give the closed formulae and interesting combinatorial identities.
Goubi Mouloud
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On the minimal distance of a polynomial code [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 special issue in honor of Laci Babai's 60th birthday: Combinatorics, Groups, Algorithms, and ...
Peter Pal Pach, Csaba Szabo
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Nemo/Hecke: Computer Algebra and Number Theory Packages for the Julia Programming Language [PDF]
International Symposium on Symbolic and Algebraic Computation, 2017 We introduce two new packages, Nemo and Hecke, written in the Julia programming language for computer algebra and number theory. We demonstrate that high performance generic algorithms can be implemented in Julia, without the need to resort to a low ...
C. Fieker +3 more
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Perturbed Keplerian Hamiltonian Systems
International Journal of Differential Equations, 2023 This paper deals with a class of perturbation planar Keplerian Hamiltonian systems, by exploiting the nondegeneracy properties of the circular solutions of the planar Keplerian Hamiltonian systems, and by applying the implicit function theorem, we show ...
Riadh Chteoui
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The extended equivalence and equation solvability problems for groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 special issue in honor of Laci Babai's 60th birthday: Combinatorics, Groups, Algorithms, and ...
Gabor Horvath, Csaba Szabo
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