Results 71 to 80 of about 2,045,885 (354)
Bridging Nature and Technology: A Perspective on Role of Machine Learning in Bioinspired Ceramics
Machine learning (ML) is revolutionizing the development of bioinspired ceramics. This article investigates how ML can be used to design new ceramic materials with exceptional performance, inspired by the structures found in nature. The research highlights how ML can predict material properties, optimize designs, and create advanced models to unlock a ...
Hamidreza Yazdani Sarvestani+2 more
wiley +1 more source
Physical law and the quest for mathematical understanding [PDF]
The theoretical physics of the first quarter of the twentieth century -centering around relativity theory and nonrelativistic quantum mechanics-has had a broad influence mathematically.
Witten, Edward
core
Dependence on a parameter in continuum mechanics [PDF]
In this paper is pointed out the special meaning of some parameters which are present in the constitutive relations of Continuum Mechanics. They make possible to characterize some important properties such as incompressibility and rigidity.
G. Grioli
doaj
Some Schemata for Applications of the Integral Transforms of Mathematical Physics
In this survey article, some schemata for applications of the integral transforms of mathematical physics are presented. First, integral transforms of mathematical physics are defined by using the notions of the inverse transforms and generating ...
Yuri Luchko
doaj +1 more source
Instantons: topological aspects [PDF]
Short survey to be published at the Encyclopedia of Mathematical Physics.
arxiv
Lecture notes written for a one-semester course in mathematical relativity aimed at mathematics and physics students. Not meant as an introduction to general relativity, but rather as a complementary, more advanced text.
arxiv
Coarse geometry and its applications in solid state physics [PDF]
In this article, we give an overview over recent developments in the mathematical treatment of topological insulators using coarse geometry.
arxiv
Digital Methods for the Fatigue Assessment of Engineering Steels
The use of engineering steels is often limited by their fatigue strength. In the sake of a faster product development, the fatigue behavior can be predicted by machine learning (ML). In this work, ML is applied on a heterogeneous database, covering a wide range of steel types.
Sascha Fliegener+7 more
wiley +1 more source
The utterly prosaic connection between physics and mathematics
Eugene Wigner famously argued for the "unreasonable effectiveness of mathematics" for describing physics and other natural sciences in his 1960 essay.
Visser, Matt
core +1 more source
Weighted Bergman Kernels and Mathematical Physics
We review several results in the theory of weighted Bergman kernels. Weighted Bergman kernels generalize ordinary Bergman kernels of domains Ω ⊂ C n but also appear locally in the attempt to quantize classical states of mechanical systems ...
Elisabetta Barletta+2 more
doaj +1 more source