Results 41 to 50 of about 49,024 (304)

Some functional equations connected with quadratic forms

Journal of Numerical Analysis and Approximation Theory, 1990
Not available.
I. Corovei
doaj   +2 more sources

An algebraic approach to the Siegel-Weil average for binary quadratic forms [PDF]

, 2019
In this talk, we will consider the celebrated results of Siegel and Weil about the number of representations by the genus of a given positivedefinite integral quadratic form.
Kane, BR
core  

Characterization of solutions of the discrete-time algebraic Riccati equation based on quadratic difference forms

, 2006
This paper is concerned with a characterization of all symmetric solutions to the discrete-time algebraic Riccati equation (DARE). Dissipation theory and quadratic difference forms from the behavioral approach play a central role in this paper. Along the
Osamu Kaneko, Paolo Rapisarda, Chiaki Kojima, Kojima, Chiaki, Kiyotsugu Takaba, Takaba, Kiyotsugu, Kaneko, Osamu, Rapisarda, Paolo   +7 more
core   +1 more source

Revisiting Stability Criteria in Ball‐Milled High‐Entropy Alloys: Do Hume–Rothery and Thermodynamic Rules Equally Apply?

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, Alejandro F. Manchón‐Gordón, Antonio Vidal‐Crespo, Rafael Caballero‐Flores, Jhon J. Ipus, Clara F. Conde   +5 more
wiley   +1 more source

The number of standard forms of matrices over imaginary Euclidean quadratic rings with respect to the $(z,k)$–equivalence

Математичні Студії, 2022
The $(z,k)$--equivalence of matrices over imaginary Euclidean quadratic rings is investigated. The classes of matrices over these rings are selected for which the standard form with respect to $(z,k)$--equivalence is uniquely defined and equal to the ...
N. B. Ladzoryshyn, V. M. Petrychkovych
doaj   +1 more source

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
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, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

Topological Approach for Material Structure Analyses in Terms of R² Orientation Distribution Function

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, Elena Semenova, Valeriy Prunov, Ruslan Zamaliev, Oskar Sachenkov   +4 more
doaj   +1 more source

Conserved- and zero-mean quadratic quantities in oscillatory systems

, 2005
We study quadratic functionals of the variables of a linear oscillatory system and their derivatives. We show that such functionals are partitioned in conserved quantities and in trivially- and intrinsic zero-mean quantities.
Willems, JC, Rapisarda, P, Willems, Jan C., Rapisarda, Paolo   +3 more
core   +1 more source

Additive Gaussian Process Regression for Predictive Design of High‐Performance, Printable Silicones

Advanced Engineering Materials, EarlyView.
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, Martha Leach, Hongtao Song, Carolyn Seepersad   +3 more
wiley   +1 more source

Quadratic forms in $I^n$ of dimension $2^n+2^{n-1}$

Comptes Rendus. Mathématique
For $n\ge 3$, 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.
doaj   +1 more source