Results 71 to 80 of about 11,668,875 (322)
Mathematics, 2023 The application of solid mechanics theory for material behavior faces the discrete nature of modern or biological material. Despite the developed methods of homogenization, there are deviations between simulated and experiments results.
Victoriya Smirnova +4 more
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Advanced Engineering Materials, Volume 27, Issue 6, March 2025.The stability criteria affecting the formation of high‐entropy alloys, particularly focusing in supersaturated solid solutions produced by mechanical alloying, are analyzed. Criteria based on Hume–Rothery rules are distinguished from those derived from thermodynamic relations. The formers are generally applicable to mechanically alloyed samples.
Javier S. Blázquez +5 more
wiley +1 more source
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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A method for computing quadratic Brunovsky forms
, 2005 In this paper, for continuous, linearly-controllable quadratic control systems with a single input, an explicit, constructive method is proposed for studying their Brunovsky forms, initially studied in [W. Kang and A. J.
Jin, Wen-Long
core +3 more sources
Advanced Engineering Materials, EarlyView.Laser surface texturing significantly improves the corrosion resistance and mechanical strength of 3D‐printed iron polylactic acid (Ir‐PLA) for marine applications. Optimal laser parameters reduce corrosion by 80% and enhance tensile strength by 25% and ductility by 15%.
Mohammad Rezayat +6 more
wiley +1 more source
A Multidimensional Functional Equation Having Quadratic Forms as Solutions
Journal of Inequalities and Applications, 2007 We obtain the general solution and the stability of the m-variable quadratic functional equation f(x1+y1,…,xm+ym)+f(x1−y1,…,xm−ym)=2f(x1,…,xm)+2f(y1,…,ym).
Jae-Hyeong Bae, Won-Gil Park
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Signdefiniteness and Reduction to Full Squares for the Bundle of Tree Quadratic Forms
Известия Иркутского государственного университета: Серия "Математика", 2016 The paper discusses the investigation of the relation of signdefiniteness of the bundle of three quadratic forms with to the simultaneous diagonalization by congruenttransformation of matrices of the respective quadratic forms.
M. A. Novickov
doaj
Classifying Quadratic Forms Over Z2 in Three Variables
Journal of Mathematics, 2016 The quadratic forms in three variables over the field Z2 are classified. Some remarks are made about the group of equivalences GL(3,Z2) of the quadratic forms.
Gerard Thompson
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VALUES OF BINARY QUADRATIC FORMS AT INTEGER POINTS AND SCHMIDT GAMES [PDF]
, 2013 We prove that for any countable set A of real numbers, the set of binary indefinite quadratic forms Q such that the closure of Q Z 2 is disjoint from A has full Hausdorff dimension.
D. Kleinbock, B. Weiss
semanticscholar +1 more source
A tail inequality for quadratic forms of subgaussian random vectors [PDF]
arXiv.org, 2011 This article proves an exponential probability tail inequality for positive semidefinite quadratic forms in a subgaussian random vector. The bound is analogous to one that holds when the vector has independent Gaussian entries.
Daniel J. Hsu, S. Kakade, Tong Zhang
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