Results 21 to 30 of about 1,955,102 (244)
Some problems in mathematics and mathematical physics [PDF]
arXiv, 2020 We discuss new approaches to fundamental problems of mathematics and mathematical physics such as mathematical foundation of quantum field theory, the Riemann hypothesis, and construction of noncommutative algebraic geometry.
arxiv
, 2016 We revisit the mathematics that Ramanujan developed in connection with the famous "taxi-cab" number $1729$. A study of his writings reveals that he had been studying Euler's diophantine equation $$ a^3+b^3=c^3+d^3.
Ono, Ken, Trebat-Leder, Sarah
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A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source
Mathematics in Hands-On Science for Liberal Arts Students [PDF]
, 2000 We describe a number of experiments from the courses called, General Science 9, part of the science program for elementary education majors at Brooklyn College. These courses provide hands-on learning experiences for students who are insecure and weak in
Sobel, M. I.
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Bridging Nature and Technology: A Perspective on Role of Machine Learning in Bioinspired Ceramics
Advanced Engineering Materials, EarlyView.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
Another Formulation of the Wick's Theorem. Farewell, Pairing?
, 2015 The algebraic formulation of Wick's theorem that allows one to present the vacuum or thermal averages of the chronological product of an arbitrary number of field operators as a determinant (permanent) of the matrix is proposed.
Beloussov, Igor V.
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A Novel Simulation Approach for Damage Evolution during Tailored Forming
Advanced Engineering Materials, EarlyView.Traditional damage models are struggling to accurately and efficiently simulate large‐scale three‐dimensional models with a great number of degrees of freedoms. A new gradient‐enhanced damage model based on the extended Hamilton principle can significantly reduce the computation time while ensuring mesh‐independence which is suitable to use in tailored
Fangrui Liu +2 more
wiley +1 more source
Topological Entropy and Algebraic Entropy for group endomorphisms [PDF]
, 2012 The notion of entropy appears in many fields and this paper is a survey about entropies in several branches of Mathematics. We are mainly concerned with the topological and the algebraic entropy in the context of continuous endomorphisms of locally ...
Bruno, Anna Giordano, Dikranjan, Dikran
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Advanced Engineering Materials, EarlyView.A novel approach for alloy development in laser powder bed fusion is introduced. Instead of producing massive samples of one composition at a time, prepressed powder bed samples produced from powder mixtures are processed. Guidelines for the selection of precursor powders are developed.
Felix Großwendt +6 more
wiley +1 more source
Higher order scattering on asymptotically Euclidean Manifolds
, 2000 We develop a scattering theory for perturbations of powers of the Laplacian on asymptotically Euclidean manifolds. The (absolute) scattering matrix is shown to be a Fourier integral operator associated to the geodesic flow at time \pi on the boundary ...
Christiansen, T. J., Joshi, M. S.
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