Results 11 to 20 of about 13,253 (266)
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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Convert between neutrosophic complex numbers forms [PDF]
Neutrosophic Sets and Systems, 2023 Complex numbers have been studied in previous papers, but the papers did not deal with the conversion from algebraic form of a neutrosophic complex number form to exponential or trigonometric form and vice versa, and this prompted us to search for a ...
Yaser Ahmad Alhasan +2 more
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Multiplicative dependence of cubic algebraic numbers
Lietuvos Matematikos Rinkinys, 2017 We provide an infinite family of cubic algebraic integers α such that the set {α + x | x ∈ Z} is multiplicatively dependent.
Paulius Drungilas, Linas Klimavičius
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An Introduction to The Split-Complex Symbolic 2-Plithogenic Numbers [PDF]
Neutrosophic Sets and Systems, 2023 The objective of this paper is to combine split-complex numbers with symbolic 2-plithogenic numbers in one algebraic structure called split-complex symbolic 2-plithogenic real numbers.
Rama Asad Nadweh +2 more
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On Leonardo Pisano Hybrinomials
Mathematics, 2021 A generalization of complex, dual, and hyperbolic numbers has recently been defined as hybrid numbers. In this study, using the Leonardo Pisano numbers and hybrid numbers we investigate Leonardo Pisano polynomials and hybrinomials.
Ferhat Kürüz +2 more
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On Complex Numbers in Higher Dimensions
Axioms, 2022 The geometric approach to generalized complex and three-dimensional hyper-complex numbers and more general algebraic structures being based upon a general vector space structure and a geometric multiplication rule which was only recently developed is ...
Wolf-Dieter Richter
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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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On the algebraic numbers computable by some generalized Ehrenfest urns [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 This article deals with some stochastic population protocols, motivated by theoretical aspects of distributed computing. We modelize the problem by a large urn of black and white balls from which at every time unit a fixed number of balls are drawn and ...
Marie Albenque, Lucas Gerin
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Ghost Numbers of Group Algebras [PDF]
Algebras and Representation Theory, 2014 28 pages; v2 improves introduction and has many other minor changes throughout.
Christensen, J. Daniel, Wang, Gaohong
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Noncomputable functions in the Blum-Shub-Smale model [PDF]
Logical Methods in Computer Science, 2011 Working in the Blum-Shub-Smale model of computation on the real numbers, we answer several questions of Meer and Ziegler. First, we show that, for each natural number d, an oracle for the set of algebraic real numbers of degree at most d is insufficient ...
Wesley Calvert +2 more
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