Results 51 to 60 of about 7,576 (262)
Results on Witt kernels of quadratic forms for multi-quadratic extensions [PDF]
Proceedings of the American Mathematical Society, 2013 In this paper we compute the Witt kernel of quadratic forms for the composition of a purely inseparable multi-quadratic extension with a separable quadratic extension. We also include the case of a multi-quadratic purely inseparable extension by completing the proof given before by the second author for such an extension.
Aravire, Roberto, Laghribi, Ahmed
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Advanced Engineering Materials, EarlyView.A simplified thermoplastic pultrusion model is developed to predict thermal fields in glass fiber/polyethylene terephthalate (GF/PET) composites with reduced computational cost. By combining effective material homogenization, validation against literature data, and Gaussian‐process‐based optimization, the study reveals how heating limits, pulling speed,
Elder Soares +3 more
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Quadratic forms in $I^n$ of dimension $2^n+2^{n-1}$
Comptes Rendus. MathématiqueFor $n\ge 3$, confirming a weak version of a conjecture of Hoffmann, we show that every anisotropic quadratic form in $I^n$ of dimension $2^n+2^{n-1}$ splits over a finite extension of the base field of degree not divisible by $4$. The first new case is $
Harvey, Curtis R., Karpenko, Nikita A.
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Estimating Shape Parameters of Piecewise Linear-Quadratic Problems
Open Journal of Mathematical Optimization, 2021 Piecewise Linear-Quadratic (PLQ) penalties are widely used to develop models in statistical inference, signal processing, and machine learning.
Zheng, Peng +2 more
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Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
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A note on the normality of unramified, abelian extensions of quadratic extensions
Manuscripta Mathematica, 1979 Let F, K and L be algebraic number fields such that\(F \subseteq K \subseteq L\), [K∶F]=2 and [L∶K]=n. It is a simple consequence of the class field theory that, if L is an abelian, unramified extension of K and (n,h)=1, where h is the class number of F, then L is normal over F. The purpose of this note is to point out the necessity of the condition (n,
Madden, Daniel J., Velez, William Yslas
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Advanced Engineering Materials, EarlyView.Identified through the use of statistical design of experiments and metallographic investigation, this study exposes the stochastic origins of intergranular cracks in blown powder laser beam directed energy deposition additive manufacturing of pure molybdenum. It further demonstrates a successful crack mitigation approach with direct correlation to the
Nathaniel J. Lies +2 more
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Quadratic Unconstrained Binary Optimization for the Automotive Paint Shop Problem
IEEE Access, 2023 The Binary Paint Shop Problem (BPSP) is a combinatorial optimization problem which draws inspiration from the automotive paint shop. Its binary nature, making it a good fit for Quadratic Unconstrained Binary Optimization (QUBO) solvers, has been well ...
Pieter Debevere +2 more
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Scalar extension of quadratic lattices II [PDF]
Nagoya Mathematical Journal, 1977 Let k be a totally real algebraic number field, the maximal order of k, and let L (resp. M) be a Z-lattice of a positive definite quadratic space U (resp. V) over the field Q of rational numbers. Suppose that there is an isometry σ from L onto M. We have shown that the assumption implies σ(L) = M in some cases in [2].
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Advanced Engineering Materials, EarlyView.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
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