Results 101 to 110 of about 22,960 (196)

Generating Diophantine Sets by Virus Machines [PDF]

, 2015
Virus Machines are a computational paradigm inspired by the manner in which viruses replicate and transmit from one host cell to another. This paradigm provides non-deterministic sequential devices. Non-restricted virus machines are unbounded virus machines, in the sense that no restriction on the number of hosts, the number of instructions and the ...
Romero Jiménez, Álvaro, Valencia Cabrera, Luis, Pérez Jiménez, Mario de Jesús   +2 more
openaire   +3 more sources

Fuzzy Decision Support Systems for Selection of NEA Detection Technologies Under Non-Linear Diophantine Fuzzy Hamacher Aggregation Information

IEEE Access
The Objectives of this study is to extend the concept of q-rung linear Diophantine fuzzy sets (q-RLDFSs), followed by the Near-Earth Asteroids (NEAs) deflection detector.
Maria Shams, Saleem Abdullah, Faisal Khan, Rifaqat Ali, Shakoor Muhammad   +4 more
doaj   +1 more source

Diophantine tuples and product sets in shifted powers

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let k⩾2$k\geqslant 2$ and n≠0$n\ne 0$. A Diophantine tuple with property Dk(n)$D_k(n)$ is a set of positive integers A$A$ such that ab+n$ab+n$ is a k$k$th power for all a,b∈A$a,b\in A$ with a≠b$a\ne b$. Such generalizations of classical Diophantine tuples have been studied extensively.
Ernie Croot, Chi Hoi Yip
wiley   +1 more source

Hausdorff Discretizations of Algebraic Sets and Diophantine Sets [PDF]

, 2000
This paper is a continuation of our works in which we study the properties of a new framework for discretization of closed sets based on Hausdorff metric. Let F be a nonempty closed subset of Rn; S ⊆ Zn is a Hausdorff discretization of F if it minimizes the Hausdorff distance to F.
Mohamed Tajine, Christian Ronse
openaire   +1 more source

Spherical Linear Diophantine Fuzzy Graphs: Unleashing the Power of Fuzzy Logic for Uncertainty Modeling and Real-World Applications

Axioms
The theory of spherical linear Diophantine fuzzy sets (SLDFS) boasts several advantages over existing fuzzy set (FS) theories such as Picture fuzzy sets (PFS), spherical fuzzy sets (SFS), and T-spherical fuzzy sets (T-SFS).
Mani Parimala, Saeid Jafari
doaj   +1 more source

Optimising Wave Energy Plant Location Through Neutrosophic Multi‐Criteria Group Decision‐Making

CAAI Transactions on Intelligence Technology, Volume 11, Issue 1, Page 167-189, February 2026.
ABSTRACT The global shift towards sustainable energy has intensified research into renewable sources, particularly wave energy. Pakistan, with its long coastline, holds significant potential for wave energy development. However, identifying optimal locations for wave energy plants involves evaluating complex, multi‐faceted criteria.
Hafiz Muhammad Athar Farid, Ayesha Razzaq, Muhammad Riaz, Tapan Senapati, Sarbast Moslem   +4 more
wiley   +1 more source

Uniform parameterization of subanalytic sets and diophantine applications

Annales scientifiques de l'École normale supérieure, 2020
We prove new parameterization theorems for sets definable in the structure $\mathbb{R}_{an}$ (i.e. for globally subanalytic sets) which are uniform for definable families of such sets. We treat both $C^r$-parameterization and (mild) analytic parameterization.
Cluckers, Raf, Pila, Jonathan, Wilkie, Alex   +2 more
openaire   +5 more sources

Characterization of Diophantine Equations a+y2=z2, Pythagorean n-Tuples, and Algebraic Structures

International Journal of Mathematics and Mathematical Sciences
Let N,Z, and Q be the sets of natural, integers, and rational numbers, respectively. Our objective, involving a predetermined positive integer a, is to study a characterization of Diophantine equations of the form a+y2=z2. Building on this result, we aim
Roberto Amato
doaj   +1 more source

Intrinsic Approximation on Cantor-like Sets, a Problem of Mahler [PDF]

, 2011
In 1984, Kurt Mahler posed the following fundamental question: How well can irrationals in the Cantor set be approximated by rationals in the Cantor set?
Broderick, Ryan, Fishman, Lior, Reich, Asaf   +2 more
core  

A universal example for quantitative semi‐uniform stability

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We characterise quantitative semi‐uniform stability for C0$C_0$‐semigroups arising from port‐Hamiltonian systems, complementing recent works on exponential and strong stability. With the result, we present a simple universal example class of port‐Hamiltonian C0$C_0$‐semigroups exhibiting arbitrary decay rates slower than t−1/2$t^{-1/2}$.
Sahiba Arora, Felix L. Schwenninger, Ingrid Vukusic, Marcus Waurick   +3 more
wiley   +1 more source