On the Dual Symbolic 2-Plithogenic Numbers [PDF]
Neutrosophic Sets and Systems, 2023 The objective of this paper is to combine dual numbers with symbolic 2-plithogenic numbers in one algebraic structure called dual symbolic 2-plithogenic real numbers.
Khadija Ben Othman +2 more
doaj
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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An analogue of Bauer’s theorem for closed orbits of skew products [PDF]
, 2008 In this article we prove an analogue of Bauer’s theorem from algebraic number theory in the context of hyperbolic ...
Mark Pollicott +3 more
core +1 more source
Ansätze for scattering amplitudes from p-adic numbers and algebraic geometry
Journal of High Energy Physics, 2022 Rational coefficients of special functions in scattering amplitudes are known to simplify on singular surfaces, often diverging less strongly than the naïve expectation.
Giuseppe De Laurentis, Ben Page
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Finding Integral Linear Dependencies of Algebraic Numbers and Algebraic Lie Algebras [PDF]
LMS Journal of Computation and Mathematics, 2007 Abstract:We give an algorithm for finding the module of linear dependencies of the roots of a monic integral polynomial. Using this, we describe an algorithm for constructing the algebraic hull of a given matrix Lie algebra in characteristic zero.
De Graaf, Willem Adriaan, C. Fieker
openaire +4 more sources
A Hodge Theory-Driven Quantum Mapping Between Calabi-Yau Manifolds and Nuclear Topology: First-Principles Derivation and Experimental Verification [PDF]
Physics AccessThis study adopts Hodge theory as a rigorous mathematical framework to construct a quantitative mapping system between the high-dimensional topological invariants of CalabiYau (CY) manifolds and nuclear physics parameters, thereby establishing a strict ...
Yang Ou, Wenming Sun
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Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch
International Journal of Adaptive Control and Signal Processing, EarlyView.This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane +3 more
wiley +1 more source
Nonreciprocal algebraic numbers of small measure [PDF]
, 2004 summary:The main result of this paper implies that for every positive integer $d\geqslant 2$ there are at least $(d-3)^2/2$ nonconjugate algebraic numbers which have their Mahler measures lying in the interval $(1,2)$.
Dubickas, Artūras
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Le concept de fonction et sa projection spatiale
Annales de Didactique et de Sciences Cognitives, 2012 It has been argued that understanding ‘function’ qua abstract mathematical entity requires (a) that different aspects of this entity be understood as referring to the same mathematical entity (for example that the spatial representation of a function ...
Athanassios Raftopoulos +1 more
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Gaussian-bihyperbolic Numbers Containing Pell and Pell-Lucas Numbers
Journal of Advanced Research in Natural and Applied Sciences, 2023 In this study, we define a new type of Pell and Pell-Lucas numbers which are called Gaussian-bihyperbolic Pell and Pell-Lucas numbers. We also define negaGaussian-bihyperbolic Pell and Pell-Lucas numbers.
Hasan Gökbaş
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