Results 21 to 30 of about 1,387,085 (240)
Moderate deviations for the determinant of Wigner matrices
, 2013 We establish a moderate deviations principle (MDP) for the log-determinant $\log | \det (M_n) |$ of a Wigner matrix $M_n$ matching four moments with either the GUE or GOE ensemble.
A Dembo +14 more
core +1 more source
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
Poincaré and the idea of a group [PDF]
, 2012 In many different fields of mathematics and physics Poincaré found many uses for the idea of a group, but not for group theory. He used the idea in his work on automorphic functions, in number theory, in his epistemology, Lie theory (on the so-called ...
Gray, Jeremy
core
Formalizing Mathematical Knowledge as a Biform Theory Graph: A Case Study
, 2017 A biform theory is a combination of an axiomatic theory and an algorithmic theory that supports the integration of reasoning and computation. These are ideal for formalizing algorithms that manipulate mathematical expressions. A theory graph is a network
BE Aydemir +12 more
core +1 more source
Advanced Engineering Materials, EarlyView.The tribological behavior of 100Cr6 steel spheres textured via Vickers microindentation is evaluated under lubricated sliding by varying both dimple size and density. Fine and dense textures significantly reduce friction across all lubrication regimes, while large dimples increase it.
Farideh Davoodi +3 more
wiley +1 more source
Combinatorial Applications of the Subspace Theorem
, 2013 The Subspace Theorem is a powerful tool in number theory. It has appeared in various forms and been adapted and improved over time. It's applications include diophantine approximation, results about integral points on algebraic curves and the ...
Schwartz, Ryan, Solymosi, Jozsef
core +1 more source
Experimental mathematics and its use in number theory
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 2022 The purpose of the work is to show the usefulness and features of experimental mathematics. Two number theory problems are solved using Wolfram Mathematica. The solution to the first problem has already been published. Congruencies of the form F(A(p)) ≡ εF(S) (mod p) by prime modulo p are proved, whenever A(p) is a polynomial respect p with integer ...
openaire +1 more source
Advanced Engineering Materials, EarlyView.A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer +3 more
wiley +1 more source
Developing Mathematics Enrichment Workshops for Middle School Students: Philosophy and Sample Workshops [PDF]
, 1997 This paper describes our approach to organizing enrichment activities using advanced mathematics topics for diverse audiences of middle school students.
Keynes, H., Olson, A., Singer, K.
core +1 more source
Pao-Lu Hsu (Xu, Bao-lu): The Grandparent of Probability and Statistics in China
, 2012 The years 1910-1911 are auspicious years in Chinese mathematics with the births of Pao-Lu Hsu, Luo-Keng Hua and Shiing-Shen Chern. These three began the development of modern mathematics in China: Hsu in probability and statistics, Hua in number theory ...
Chen, Dayue, Olkin, Ingram
core +1 more source