Results 41 to 50 of about 102 (92)
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 +4 more
wiley +1 more source
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 +3 more
wiley +1 more source
Plank theorems and their applications: A survey
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley +1 more source
The Davenport–Heilbronn method: 80 years on
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract The Davenport–Heilbronn method is a version of the circle method that was developed for studying Diophantine inequalities in the paper (Davenport and Heilbronn, J. Lond. Math. Soc. (1) 21 (1946), 185–193). We discuss the main ideas in the paper, together with an account of the development of the subject in the intervening 80 years.
Tim Browning
wiley +1 more source
On a problem in simultaneous diophantine approximation: Littlewood's conjecture
Acta Mathematica, 2000 Littlewood's conjecture that given any real numbers \(\alpha, \beta\), \(\liminf_{q\to \infty}q\|q\alpha \|\|q\beta \|=0\) \((\|\alpha\|= \min\{|x-k|: k\in\mathbb{Z}\})\) has resisted resolution for many years. The conjecture holds if either \(\alpha\) or \(\beta\) are not badly approximable (\(\alpha\) is badly approximable if \(q\|q\alpha\|\geq c ...
Pollington, Andrew D., Velani, Sanju L.
openaire +3 more sources
The dimension of well approximable numbers
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In this survey article, we explore a central theme in Diophantine approximation inspired by a celebrated result of Besicovitch on the Hausdorff dimension of well approximable real numbers. We outline some of the key developments stemming from Besicovitch's result, with a focus on the mass transference principle, ubiquity and Diophantine ...
Victor Beresnevich, Sanju Velani
wiley +1 more source
Combinatorics on number walls and the P(t)$P(t)$‐adic Littlewood conjecture
Mathematika, Volume 72, Issue 1, January 2026.Abstract In 2004, de Mathan and Teulié stated the p$p$‐adic Littlewood conjecture (p$p$‐LC) in analogy with the classical Littlewood conjecture. Let Fq$\mathbb {F}_q$ be a finite field P(t)$P(t)$ be an irreducible polynomial with coefficients in Fq$\mathbb {F}_q$. This paper deals with the analogue of p$p$‐LC over the ring of formal Laurent series over
Steven Robertson
wiley +1 more source
A Linear Diophantine Fuzzy Graph‐Theoretic Approach for Planar Dynamic Traffic Optimization
Applied Computational Intelligence and Soft Computing, Volume 2026, Issue 1, 2026.Dynamic urban traffic signal control systems face uncertainties such as fluctuating vehicle densities, unpredictable incidents, and varying driver behaviors, making precise decision‐making highly challenging. To address these complexities, fuzzy planar graphs have been employed for uncertainty modeling.
Waheed Ahmad Khan +5 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.A linear Diophantine Z‐number Aczel–Alsina t‐norm operator is implemented for solving a linear Diophantine Z‐number problem, along with explaining its reliability, along with the solution derived. Some basic mathematical characteristics of the introduced operator, such as monotonicity, boundedness, and homogeneity, are rigorously deduced mathematically
Muhammad Umar Mirza +4 more
wiley +1 more source
Simultaneous Diophantine Approximation and Asymptotic Formulae on Manifolds
Journal of Number Theory, 1996 Let \(\psi(q) \in \mathbb{N}\) for \(q=1, 2, 3, \dots\) be decreasing such that for some \(k \in \mathbb{N}\) the series \(\sum\psi(q)^k\) is divergent. As a slight variation of Khintchine's theorem on simultaneous diophantine approximation, it is known that, for almost all \((x_1, \dots, x_k) \in\mathbb{R}^k\) there are infinitely many solutions of ...
Dodson, M.M. +2 more
openaire +2 more sources