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pro vyhledávání: '"W. Riley Casper"'
Autor:
W. Riley Casper, Taylor Grimes
Publikováno v:
European Journal of Applied Mathematics. :1-16
The classic game of Battleship involves two players taking turns attempting to guess the positions of a fleet of vertically or horizontally positioned enemy ships hidden on a $10\times 10$ grid. One variant of this game, also referred to as Battleshi
Autor:
W. Riley Casper, Milen Yakimov
Publikováno v:
American Journal of Mathematics. 144:1009-1065
Publikováno v:
Toeplitz Operators and Random Matrices ISBN: 9783031138508
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::638b429e854a16777471d5b58a6d8ac7
https://doi.org/10.1007/978-3-031-13851-5_12
https://doi.org/10.1007/978-3-031-13851-5_12
Autor:
Milen Yakimov, W. Riley Casper
Publikováno v:
Journal für die reine und angewandte Mathematik (Crelles Journal). 2020:151-194
In the mid 1980s it was conjectured that every bispectral meromorphic function ψ ( x , y ) {\psi(x,y)} gives rise to an integral operator K ψ ( x , y ) {K_{\psi}(x,y)} which possesses a commuting differential operator. This has been verifie
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America, vol 116, iss 37
Commuting integral and differential operators connect the topics of Signal Processing, Random Matrix Theory, and Integrable Systems. Previously, the construction of such pairs was based on direct calculation and concerned concrete special cases, leav
Autor:
W. Riley Casper
Publikováno v:
Journal of Approximation Theory. 229:36-71
In this paper, we demonstrate an elementary method for constructing new solutions to Bochner’s problem for matrix differential operators from known solutions. We then describe a large family of solutions to Bochner’s problem, obtained from classi
Publikováno v:
Journal of Algebra and Its Applications. 20:2140016
We introduce bivariate versions of the continuous q-Hermite polynomials. We obtain algebraic properties for them (generating function, explicit expressions in terms of the univariate ones, backward difference equations and recurrence relations) and a
Publikováno v:
Ocean Modelling. 72:210-230
We present results of experiments performing global, ensemble-based, ocean-only data assimilation and assess the utility of such data assimilation in improving model predictions. The POP (Parallel Ocean Program) Ocean General Circulation Model (OGCM)
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