Results 11 to 20 of about 5,695 (289)
An analogue in certain unique factorization domains of the Euclid-Euler theorem on perfect numbers [PDF]
International Journal of Mathematics and Mathematical Sciences, 1990 We show that there exists a natural extention of the sum of divisors function to all unique factorization domains F having a finite number of units such that if a perfect number in F is defined to be an integer η whose proper divisors sum to η, then the ...
Wayne L. McDaniel
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Factorization under local finiteness conditions [PDF]
, 2023 It has been recently observed that fundamental aspects of the classical theory of factorization can be greatly generalized by combining the languages of monoids and preorders.
Cossu, Laura +3 more
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gSoFa: Scalable Sparse Symbolic LU Factorization on GPUs [PDF]
, 2023 Decomposing a matrix $\mathbf {A}$A into a lower matrix $\mathbf {L}$L and an upper matrix $\mathbf {U}$U, which is also known as LU decomposition, is an essential operation in numerical linear algebra.
Liu, Hang +2 more
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Unlimited Lists of Quadratic Integers of Given Norm - Application to Some Arithmetic Properties
Communications in Advanced Mathematical Sciences, 2023 We use the polynomials $m_s(t) = t^2 - 4 s$, $s \in \{-1, 1\}$, in an elementary process giving unlimited lists of {\it fundamental units of norm $s$}, of real quadratic fields, with ascending order of the discriminates.
Georges Gras
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Vesicle Tethering Factors United [PDF]
Molecular Cell, 2001 In the October 2001 issue of Developmental Cell, Whyte and Munro elucidate the composition of a novel vesicle tethering complex and in the process uncover previously undetected homology between tethering complexes that catalyze a variety of different transport events in yeast and mammalian cells.
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On the Phenomenological Approach to Grammar
Cognitive Studies | Études cognitives, 2015 On the Phenomenological Approach to Grammar Phenomenological foundations for grammar description of the natural language are under considerations. The picture of language world based on the factorization of communication and cognitivity is proposed ...
Volodymyr Shyrokov, Igor Shevchenko
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Explainability Using Bayesian Networks for Bias Detection: FAIRness with FDO [PDF]
Research Ideas and Outcomes, 2022 In this paper we aim to provide an implementation of the FAIR Data Points (FDP) spec, that will apply our bias detection algorithm and automatically calculate a FAIRness score (FNS).
Ronit Purian, Natan Katz, Batya Feldman
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Journal of High Energy Physics, 2019 We establish a brane-brane duality connecting T-branes to collections of ordinary D-branes. T-branes are intrinsically non-Abelian brane configurations with worldvolume flux, whereas their duals consist of Abelian brane systems that encode the T-brane ...
Iosif Bena +3 more
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Attentional factorization machine with review-based user–item interaction for recommendation
Scientific Reports, 2023 In recommender systems, user reviews on items contain rich semantic information, which can express users’ preferences and item features. However, existing review-based recommendation methods either use the static word vector model or cannot effectively ...
Zheng Li, Di Jin, Ke Yuan
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GAIN: A Gated Adaptive Feature Interaction Network for Click-Through Rate Prediction
Sensors, 2022 CTR (Click-Through Rate) prediction has attracted more and more attention from academia and industry for its significant contribution to revenue. In the last decade, learning feature interactions have become a mainstream research direction, and dozens of
Yaoxun Liu, Liangli Ma, Muyuan Wang
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