Results 81 to 90 of about 140,447 (267)
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
wiley +1 more source
Additive Gaussian Process Regression for Predictive Design of High‐Performance, Printable Silicones
A chemistry‐aware design framework for tuning printable polydimethylsiloxane (PDMS) for vat photopolymerization (VPP) is developed using additive Gaussian process (GP) modeling. Polymer network mechanics informs variable groupings, feasible formulation constraints, and interaction variables.
Roxana Carbonell +3 more
wiley +1 more source
Upper Bounds of the Complexity of Functions over Finite Fields in Some Classes of Kroneker Forms
Polynomial representations of Boolean functions have been studied well enough. Recently, the interest to polynomial representations of functions over finite fields and over finite rings is being increased.
A.S. Baliuk, G.V. Yanushkovsky
doaj
In this paper it is proved, that a so-called Hermite transform which transforms \(x^n\), \(n\in\mathbb{N}_0\) into the \(n\)-th Hermite polynomial \(H_n(x)\) preserves the property of a polynomial having only real roots. (In the proof there is referred to a next paragraph, but it does not exist).
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Generalizations of Chebyshev polynomials and polynomial mappings [PDF]
In this paper we show how polynomial mappings of degree K \mathfrak {K}
Chen, Yang +2 more
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We develop a data‐driven method to derive the mathematical expressions of the Flory–Huggins interaction parameter χ for the swelling behavior of temperature–responsive hydrogels. Starting from initial assumptions of χ, our workflow combines Bayesian optimization, Flory–Rehner theory, and symbolic regression to generate candidate χ expressions.
Yawen Wang +2 more
wiley +1 more source
§l. INTRODUCTION THE CLASSICAL Alexander polynomial[l] A(x) = A&) of a knot or link K C S3 is an invariant of ambient isotopy that is well-defined up to sign and multiplication by powers of the variable x. The Conway polynomial V(z) = V,(z) is a direct invariant of ambient isotopy.
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A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič +7 more
wiley +1 more source
This important paper generalizes techniques from association schemes and spherical designs to study finite subsets of polynomials spaces. A polynomial space is a set \(\Omega\) with a function \(\rho: \Omega\times\Omega\to {\mathbf R}\) with \(\rho(x,x)=r>0\), \(\rho(x,y)=\rho(y,x)
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Influence of Geometric Design on Mechanical Performance of Auxetic Metastructure
Strategic geometric reinforcement transforms auxetic performance. This study evaluates 3D‐printed arrowhead metastructures, revealing that a modified design with local ring reinforcement suppresses premature failure to achieve superior energy absorption and structural efficiency.
Muhammad Gulzari +3 more
wiley +1 more source

