Results 71 to 80 of about 575,831 (281)
On coefficients of the interior and exterior polynomials [PDF]
arXiv, 2022 The interior polynomial and the exterior polynomial are generalizations of valuations on $(1/\xi,1)$ and $(1,1/\eta)$ of the Tutte polynomial $T_G(x,y)$ of graphs to hypergraphs, respectively. The pair of hypergraphs induced by a connected bipartite graph are abstract duals and are proved to have the same interior polynomial, but may have different ...
arxiv
Alternatives to polynomial trend-corrected differences-in-differences models [PDF]
Applied Economics Letters, 2018 A common problem with differences-in-differences (DD) estimates is the failure of the parallel-trend assumption.
openaire +6 more sources
Digital Methods for the Fatigue Assessment of Engineering Steels
Advanced Engineering Materials, EarlyView.The use of engineering steels is often limited by their fatigue strength. In the sake of a faster product development, the fatigue behavior can be predicted by machine learning (ML). In this work, ML is applied on a heterogeneous database, covering a wide range of steel types.
Sascha Fliegener +7 more
wiley +1 more source
Noncommutative Biorthogonal Polynomials [PDF]
arXiv, 2010 The idea of orthogonal polynomials has been generalized in two ways to achieve new types of polynomials: noncommutative orthogonal polynomials and biorthogonal polynomials. This paper brings these two different generalizations together to present a completely algebraic definition of noncommutative biorthogonal polynomials.
arxiv
arXiv, 2022 Polynomial composites were introduced by Anderson, Anderson, and Zafrullah. In this paper we study many different algebraic properties of polynomial composites like ACCP, atomic, SR property. We study relationships between Noetherian polynomial composites certain field extensions.
arxiv
Bioinspired Design of Isotropic Lattices with Tunable and Controllable Anisotropy
Advanced Engineering Materials, EarlyView.This study introduces nested isotropic lattices, integrating architectural elements like nesting orders and orientations inspired by bioarchitectures. The design enables tunable anisotropy across nine mono‐nest and twenty multi‐nest lattices with 252 parametric variations, demonstrating transitions from shear‐ to tensile‐compression‐dominant behaviors ...
Ramalingaiah Boda +2 more
wiley +1 more source
Difference equations of q-Appell polynomials [PDF]
arXiv, 2014 In this paper, we study some properties of the q-Appell polynomials, including the recurrence relations and the q-difference equations which extend some known calssical (q=1) results. We also provide the recurrence relations and the q-difference equations for q-Bernoulli polynomials, q-Euler polynomials, q-Genocchi polynomials and for newly defined q ...
arxiv
Advanced Engineering Materials, EarlyView.Using novel probe‐based metrics, this study evaluates lattice structures on criteria critical to cellular solid optimization. Triply‐periodic minimal surface (TPMS) lattices outperform other lattices, offering more predictable mechanical behavior in complex design spaces and, as a result, higher performance in optimized models.
Firas Breish +2 more
wiley +1 more source
Stapledon Decompositions and Inequalities for Coefficients of Chromatic Polynomials [PDF]
arXiv, 2016 We use a polynomial decomposition result by Stapledon to show that the numerator polynomial of the Ehrhart series of an open polytope is the difference of two symmetric polynomials with nonnegative integer coefficients. We obtain a related decomposition for order polytopes and for the numerator polynomial of the corresponding series for chromatic ...
arxiv
From Nature to Engineering: Mortar Volume and Interfacial Mechanics in Bioinspired Ceramics
Advanced Engineering Materials, EarlyView.Inspired by natural armors like nacre, this study explores how varying the volume fraction of the soft mortar layer impacts the interfacial strength and toughness of bioinspired ceramics. Experimental and computational analysis reveals that higher mortar volumes increase energy dissipation but reduce interfacial stiffness, offering insights for ...
Ehsan Azad +4 more
wiley +1 more source