Results 61 to 70 of about 22,180 (168)
Sensitivity and Hamming Graphs
ABSTRACT For any m ≥ 3 $m\ge 3$ we show that the Hamming graph H ( n , m ) $H(n,m)$ admits an imbalanced partition into m $m$ sets, each inducing a subgraph of low maximum degree. This improves previous results by Tandya and by Potechin and Tsang, and disproves the Strong m $m$‐ary Sensitivity Conjecture of Asensio, García‐Marco, and Knauer.
Sara Asensio +3 more
wiley +1 more source
Uniqueness of meromorphic functions concerning value sharing of nonlinear differential monomials
In this paper under review, the authors obtained a uniqueness theorem of differential polynomials for two meromorphic functions sharing two values. This is an improvement and generalization of the previous result due to \textit{A. Banerjee} and \textit{S. Majumder} [Bol. Soc. Mat. Mex., III. Ser. 24, No. 1, 155--180 (2018; Zbl 1390.30036)].
Sujoy Majumder, Rajib Mandal
openaire +3 more sources
Register‐Efficient Linear‐Time Evaluation in the Bernstein Basis
Abstract We investigate the evaluation of points and derivatives of Bézier curves and surfaces on modern architectures, focusing on performance and guided by numerical error bounds. While the de Casteljau algorithm remains the reference for numerical robustness, its linear working‐set size imposes substantial register pressure on GPUs.
Gábor Valasek, Anna Lili Horváth
wiley +1 more source
Measure‐valued processes for energy markets
Abstract We introduce a framework that allows to employ (non‐negative) measure‐valued processes for energy market modeling, in particular for electricity and gas futures. Interpreting the process' spatial structure as time to maturity, we show how the Heath–Jarrow–Morton approach can be translated to this framework, thus guaranteeing arbitrage free ...
Christa Cuchiero +3 more
wiley +1 more source
A Family of q-General Bell Polynomials: Construction, Properties and Applications
This paper introduces a new family of q-special polynomials, termed q-general Bell polynomials, and systematically explores their structural and analytical properties.
Mohamed S. Algolam +6 more
doaj +1 more source
Nonlinear Model Order Reduction on Polynomial Manifolds for Computational Homogenisation Problems
ABSTRACT Model order reduction (MOR) techniques utilising nonlinear approximation spaces can search for solutions to computational homogenisation problems on low‐dimensional approximation spaces. In combination with hyperreduction techniques, this allows for computations on representative volume elements (RVEs) to be accelerated by multiple orders of ...
Erik Faust, Lisa Scheunemann
wiley +1 more source
ABSTRACT This study presents large deformation computational methods to simulate lateral vehicular impacts on steel piles in granular soil. Soil‐mounted longitudinal barrier systems rely on energy dissipation in both the piles and the surrounding soil to safely redirect errant vehicles, so dynamic pile‐soil interaction is important for design ...
Tewodros Y. Yosef +6 more
wiley +1 more source
Uniqueness of a differential polynomial and a differential monomial sharing a small function
The authors prove two theorems on the uniqueness of meromorphic functions when a differential monomial and a differential polynomial share a small function with finite weight. They provide an example to verify the necessity of the hypotheses of the theorems. But the statement of Corollary 1.1 is incomplete.
P. Waghamore, Harina, Maligi, Ramya
openaire +2 more sources
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source

