Results 11 to 20 of about 12,793,786 (229)
On the algebraic structure of Weihrauch degrees [PDF]
Logical Methods in Computer Science, 2018 We introduce two new operations (compositional products and implication) on Weihrauch degrees, and investigate the overall algebraic structure. The validity of the various distributivity laws is studied and forms the basis for a comparison with similar ...
Vasco Brattka, Arno Pauly
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Revisiting the algebraic structure of the generalized uncertainty principle [PDF]
Physical Review D, 2021 We compare different formulations of the generalized uncertainty principle that have an underlying algebraic structure. We show that the formulation by Kempf, Mangano and Mann (KMM) [Phys. Rev.
M. Fadel, M. Maggiore
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Non-associative algebraic structures: classification and structure [PDF]
Communications in Mathematics, 2023 These are detailed notes for a lecture on "Non-associative Algebraic Structures: Classification and Structure" which I presented as a part of my Agrega\c{c}\~ao em Matem\'atica e Applica\c{c}\~oes (University of Beira Interior, Covilh\~a, Portugal, 13-14/
I. Kaygorodov
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Homotopy-algebraic structures [PDF]
Rocky Mountain Journal of Mathematics, 1975 F. D. Williams
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The algebraic structure of the Onsager algebra [PDF]
Czechoslovak Journal of Physics, 2000 We study the Lie algebra structure of the Onsager algebra from the ideal theoretic point of view. A structure theorem of ideals in the Onsager algebra is obtained with the connection to the finite-dimensional representations. We also discuss the solvable algebra aspect of the Onsager algebra through the formal Lie algebra theory.
Shi-shyr Roan, Etsuro Date
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The Structure of Frobenius Algebras and Separable Algebras [PDF]
K-Theory, 2000 We present a unified apoach to the study of separable and Frobenius algebras. The crucial observation is thsat both cases are related to the nonlinear equation $R^{12}R^{23}=R^{23}R^{13}=R^{13}R^{12}$, called the FS-equation. Given a solution of the FS-equation satisfying certain normalizing conditions, we can construct a Frobenius algebra or a ...
Brzezinski, Tomasz +2 more
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Linear Algebraic Structure of Word Senses, with Applications to Polysemy [PDF]
Transactions of the Association for Computational Linguistics, 2016 Word embeddings are ubiquitous in NLP and information retrieval, but it is unclear what they represent when the word is polysemous. Here it is shown that multiple word senses reside in linear superposition within the word embedding and simple sparse ...
Sanjeev Arora +4 more
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Algebraic Structure of Combined Traces [PDF]
Logical Methods in Computer Science, 2013 Traces and their extension called combined traces (comtraces) are two formal models used in the analysis and verification of concurrent systems. Both models are based on concepts originating in the theory of formal languages, and they are able to capture
Lukasz Mikulski
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Algebraic Structure of Cut Feynman Integrals and the Diagrammatic Coaction. [PDF]
Physical Review Letters, 2017 We study the algebraic and analytic structure of Feynman integrals by proposing an operation that maps an integral into pairs of integrals obtained from a master integrand and a corresponding master contour. This operation is a coaction.
S. Abreu, R. Britto, C. Duhr, E. Gardi
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Algebraic structure of path-independent quantum control
Physical Review Research, 2022 Path-independent (PI) quantum control has recently been proposed to integrate quantum error correction and quantum control [W.-L. Ma, M. Zhang, Y. Wong, K. Noh, S. Rosenblum, P. Reinhold, R. J. Schoelkopf, and L. Jiang, Phys. Rev. Lett. 125, 110503 (2020)
Wen-Long Ma, Shu-Shen Li, Liang Jiang
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