Results 21 to 30 of about 138,802 (98)
Note on the quadratic Gauss sums [PDF]
, 2001 Let p be an odd prime and {χ(m)=(m/p)}, m=0,1,...,p−1 be a finite arithmetic sequence with elements the values of a Dirichlet character χ modp which are defined in terms of the Legendre symbol (m/p), (m,p)=1. We study the relation between the Gauss and
George Danas
core +1 more source
Parallel Vectors Extraction using Bézier Clipping
Computer Graphics Forum, EarlyView.Abstract In this paper, we propose a novel local feature extraction algorithm for the parallel vectors (PV) operator. Our method is based on Bézier clipping, which is a bracketing‐based root finding method that is commonly‐used in computer‐aided geometric design.
Nico Daßler, Tobias Günther
wiley +1 more source
Simultaneous Optimization of Design Layout and Material Properties in Reinforced Concrete Structures
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT The sustainable transformation of the building sector requires the design of mechanically efficient civil engineering structures, the consideration of material properties in the design layout plays an important role in this context. Steel‐reinforced concrete is an anisotropic bi‐material composite, which represents one of the most popular ...
Daniela Masarczyk +2 more
wiley +1 more source
Massively Degenerate Coherent Perfect Absorption in Gradient‐Index Fibers
Advanced Optical Materials, Volume 14, Issue 40, 27 October 2026.A coherent perfect absorber (CPA) normally operates for only one or very few spatial modes. The CPA proposed here uses a gradient‐index (GRIN) fiber to absorb hundreds of spatial modes at once, its self‐imaging property replacing the bulky free‐space degenerate cavity of earlier designs. An analytic criterion sets how much modal degeneracy is required,
Helmut Hörner +2 more
wiley +1 more source
Mizohata–Takeuchi inequalities for orthonormal systems
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We establish some weighted L2$L^2$ inequalities for Fourier extension operators in the setting of orthonormal systems. In the process, we develop a direct approach to such inequalities based on generalized Wigner distributions, complementing the Schatten space approach that is prevalent in the wider context of estimates for such orthonormal ...
Jonathan Bennett +4 more
wiley +1 more source
Hybrid Equilibrium Element Formulation for Large Displacement Nonlinear Elasticity
International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.ABSTRACT The present paper proposes an equilibrium‐based finite element formulation for the analysis of large displacement and large strain nonlinear elasticity problems. The proposed formulation is based on the Hybrid Equilibrium Element (HEE) and is developed in an updated Lagrangian framework.
Francesco Parrinello +2 more
wiley +1 more source
Random process generated by the incomplete Gauss sums [PDF]
, 2015 In this paper we explore a random process generated by the incomplete Gauss sums and establish an analogue ofweak invariance principle forthese sums. We focusour attentionexclusively on ageneralizationofthe limit distribution of the long incomplete Gauss
Demirci, Emek Akarsu
core +1 more source
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT The mechanical efficiency of civil engineering structures is a key factor in the sustainable transformation of the building sector. This study presents topology optimization in civil engineering design. The static load profile of civil engineering structures is typically dominated by their self‐weight, which introduces, as a special ...
Daniela Masarczyk +2 more
wiley +1 more source
Vanishing of Quartic and Sextic Twists of $L$-functions [PDF]
, 2023 Let $E$ be an elliptic curve over $\mathbf{Q}$. We conjecture asymptotic estimates for the number of vanishings of $L(E,1,\chi)$ as $\chi$ varies over all primitive Dirichlet characters of orders 4 and 6, subject to a mild hypothesis on $E$.
Young, Matthew P. +2 more
core +1 more source
International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 492-509, April 2026.This paper presents a finite element method for simulating highly viscoelastic flows of pure polymer melts using the Elastic Viscous Stress Splitting formulation. The method avoids higher‐order derivatives in the weak formulation by reformulating the convective term in the constitutive equation.
R. Ahmad, P. Zajac, S. Turek
wiley +1 more source