Zobrazeno 1 - 10
of 2 687
pro vyhledávání: '"Itin, A."'
Autor:
Itin, A.
Design of photonic crystals having large bandgaps above a prescribed band is a well-known physical problem with many applications. A connection to an interesting mathematical construction was pointed out some time ago: it had been conjectured that op
Externí odkaz:
http://arxiv.org/abs/2410.17424
Autor:
Itin, Yakov
The explanation of the basic acoustic properties of crystals requires a recognition of the acoustic axes. To derive the acoustic axes in a given material, one requires both a workable method and the necessary and sufficient criteria for the existence
Externí odkaz:
http://arxiv.org/abs/2407.06717
Success of machine learning (ML) in the modern world is largely determined by abundance of data. However at many industrial and scientific problems, amount of data is limited. Application of ML methods to data-scarce scientific problems can be made m
Externí odkaz:
http://arxiv.org/abs/2406.08318
Autor:
Itin, Yakov
Acoustic axes are spatial directions in media (often crystals) where at least two of the three acoustic waves have the same phase velocity. Identification of such directions for materials with specific elasticity parameters is both theoretically fasc
Externí odkaz:
http://arxiv.org/abs/2311.10095
Autor:
Itin, Yakov
Publikováno v:
Journal of Elasticity 2023
The Cauchy relations distinguish between rari- and multi-constant linear elasticity theories. These relations are treated in this paper in a form that is invariant under two groups of transformations: indices permutation and general linear transforma
Externí odkaz:
http://arxiv.org/abs/2304.09579
Publikováno v:
Jurnal Sisfokom, Vol 13, Iss 2, Pp 274-279 (2024)
This research focuses on identifying the authenticity of signatures, which is an important part of the field of biometrics. Identification of signature authenticity has wide applications, including in document security, financial transactions, and id
Externí odkaz:
https://doaj.org/article/91f0f80838b54e499d129c28a306b014
Autor:
Itin, Yakov
A variational derivative of a Lagrangian with regard to the metric tensor is used in classical field models to define Hilbert's energy-momentum tensor for a matter field. In solid-state physics, constitutive relationships between fundamental field va
Externí odkaz:
http://arxiv.org/abs/2211.03092
Autor:
Itin, Yakov
An extension of Riemmann's geometry into a direction dependent geometric structure is usually described by Finsler's geometry. Historically, this construction was motivated by the well-known Riemann's quartic length element example. Quite surprisingl
Externí odkaz:
http://arxiv.org/abs/2107.01617
Autor:
Itin, Yakov, Reches, Shulamit
Publikováno v:
Mathematics and Mechanics of Solids. 2022;27(2):222-249
Third-order tensors are widely used as a mathematical tool for modeling physical properties of media in solid state physics. In most cases, they arise as constitutive tensors of proportionality between basic physics quantities. The constitutive tenso
Externí odkaz:
http://arxiv.org/abs/2009.10752