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Annals of Pure and Applied Logic, 1990 Let \(I\exists^-_ 1\) be the subsystem of Peano arithmetic obtained by restricting the induction scheme to diophantine formulas without parameters. The main result of the paper says that \(I\exists^-_ 1\vdash IE^-_ 1+E\vdash\) Matijasevič's theorem, where \(IE^-_ 1\) is the scheme of parameter-free bounded existential induction and E is an \(\forall ...
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Sheffer Stroke BCK-Algebras via Linear Diophantine Fuzzy Structures
AxiomsThis study investigates linear Diophantine fuzzy structures within the framework of Sheffer stroke BCK-algebras (SBCK-algebras). We introduce and characterize linear Diophantine fuzzy SBCK-subalgebras and linear Diophantine fuzzy SBCK-ideals ...
Amal S. Alali +4 more
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Emergency shelter materials under a complex non-linear diophantine fuzzy decision support system
Complex & Intelligent Systems, 2023 The distribution of emergency shelter materials in emergency cases around the world is a hard task, the goal of this research is to offer a Complex Non-linear Diophantine Fuzzy (C-NLDF) decision-making model for earthquake shelter construction ...
Maria Shams +2 more
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Complexity, 2021 Linear Diophantine uncertain linguistic set (LDULS) is a modified variety of the fuzzy set (FS) to manage problematic and inconsistent information in actual life troubles.
Tahir Mahmood +6 more
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Geometry of Diophantine exponents [PDF]
, 2023 Diophantine exponents are ones of the simplest quantitative characteristics responsible for the approximation properties of linear subspaces of a Euclidean space.
German, Oleg N.
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Grain Boundary Structure Ordering via Electroshock Treatment Enhances Strength‐Ductility Synergy
Advanced Science, EarlyView.Electroshock treatment triggers atomic rearrangement, transforming disordered grain boundaries into ordered states without inducing recrystallization. This grain boundary ordering effectively relieves strain concentration and strengthens boundaries, enabling a simultaneous improvement in both strength and ductility.
Jiancheng Chen +6 more
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Glasgow Mathematical Journal, 1985 I was recently challenged to find all the cases when the sum of three consecutive integral cubes is a square; that is to find all integral solutions x, y ofy2=(x−1)3+x3+(x+1)3=3x(x2+2)This is an example of a curve of genus 1. There is an effective procedure for finding all integral points on a given curve of genus 1 ([1, Theorem 4.2], [2]): that is, it
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Open Computer Science, 2018 We define a computable function f from positive integers to positive integers. We formulate a hypothesis which states that if a system S of equations of the forms xi· xj = xk and xi + 1 = xi has only finitely many solutions in non-negative integers x1, .
Tyszka Apoloniusz
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Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
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