Results 11 to 20 of about 496,396 (282)
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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Formal proofs in real algebraic geometry: from ordered fields to quantifier elimination [PDF]
Logical Methods in Computer Science, 2012 This paper describes a formalization of discrete real closed fields in the Coq proof assistant. This abstract structure captures for instance the theory of real algebraic numbers, a decidable subset of real numbers with good algorithmic properties.
Assia Mahboubi, Cyril Cohen
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Finite-time average consensus for multi-agent systems under impulsive disturbances
Nantong Daxue xuebao. Ziran kexue ban, 2023 This study explores finite-time average consensus in multi-agent systems with switching topologies under impulsive disturbances. Utilizing algebraic graph theory, finite-time stability theorems, and impulsive control theory,criteria for finite-time ...
GENG Xiaopeng; Lü Xiaoxiao
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Q_l-cohomology projective planes and singular Enriques surfaces in characteristic two [PDF]
Épijournal de Géométrie Algébrique, 2019 We classify singular Enriques surfaces in characteristic two supporting a rank nine configuration of smooth rational curves. They come in one-dimensional families defined over the prime field, paralleling the situation in other characteristics, but ...
Matthias Schütt
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Square Integer Matrix with a Single Non-Integer Entry in Its Inverse
Mathematics, 2021 Matrix inversion is one of the most significant operations on a matrix. For any non-singular matrix A∈Zn×n, the inverse of this matrix may contain countless numbers of non-integer entries. These entries could be endless floating-point numbers.
Arif Mandangan +2 more
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Prime Spectrum of the Ring of Adeles of a Number Field
Mathematics, 2022 Much is known about the adele ring of an algebraic number field from the perspective of harmonic analysis and class field theory. However, its ring-theoretical aspects are often ignored.
Álvaro Serrano Holgado
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Rooting out letters: octagonal symbol alphabets and algebraic number theory
Journal of High Energy Physics, 2020 It is widely expected that NMHV amplitudes in planar, maximally supersymmetric Yang-Mills theory require symbol letters that are not rationally expressible in terms of momentum-twistor (or cluster) variables starting at two loops for eight particles. Re-
Jacob L. Bourjaily +5 more
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Journal of Medives: Journal of Mathematics Education IKIP Veteran Semarang, 2023 This study focused on students’ inability to correctly use psychometric tests applied for complex numbers in the context of generating an Algebraic abelian group (closure, commutative, associatively, inverse, and identity).
Idowu Oluwaseun Longe +1 more
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About the Entropy of a Natural Number and a Type of the Entropy of an Ideal
Entropy, 2023 In this article, we find some properties of certain types of entropies of a natural number. We are studying a way of measuring the “disorder” of the divisors of a natural number. We compare two of the entropies H and H¯ defined for a natural number.
Nicuşor Minculete, Diana Savin
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Algorithms in algebraic number theory [PDF]
, 1992 In this paper we discuss the basic problems of algorithmic algebraic number theory. The emphasis is on aspects that are of interest from a purely mathematical point of view, and practical issues are largely disregarded. We describe what has been done and,
Lenstra Jr., Hendrik W.
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