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pro vyhledávání: '"65-03"'
Autor:
Han Mingjin
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 267-273 (2024)
The Guzheng, an ancient and widely cherished musical instrument in China, serves as a significant cultural heritage with its enchanting melodies. The advent of artificial intelligence offers a novel avenue for the automatic recognition of guzheng mus
Externí odkaz:
https://doaj.org/article/d3ca9de327234d36919ac09cea99da50
Autor:
Uhlig, Frank
This paper gives a personal assessment of Epoch making advances in Matrix Computations from antiquity and with an eye towards tomorrow. We trace the development of number systems and elementary algebra, and the uses of Gaussian Elimination methods fr
Externí odkaz:
http://arxiv.org/abs/2008.01900
Autor:
Oates, C. J., Sullivan, T. J.
Publikováno v:
Statistics and Computing 29(6):1335--1351, 2019
This article attempts to place the emergence of probabilistic numerics as a mathematical-statistical research field within its historical context and to explore how its gradual development can be related both to applications and to a modern formal tr
Externí odkaz:
http://arxiv.org/abs/1901.04457
Publikováno v:
Asia Pacific Mathematics Newsletter: 7(1), pp. 1--11 (2017)
Butcher series appear when Runge-Kutta methods for ordinary differential equations are expanded in power series of the step size parameter. Each term in a Butcher series consists of a weighted elementary differential, and the set of all such differen
Externí odkaz:
http://arxiv.org/abs/1512.00906
Autor:
Grcar, Joseph F.
New iterative methods for solving linear equations are presented that are easy to use, generalize good existing methods, and appear to be faster. The new algorithms mix two kinds of linear recurrence formulas. Older methods have either high order rec
Externí odkaz:
http://arxiv.org/abs/1203.2390
Autor:
Brent, Richard P.
Publikováno v:
The Computer Journal 51, 5 (Sept. 2008), 579-584
We outline some of Chris Wallace's contributions to pseudo-random number generation. In particular, we consider his idea for generating normally distributed variates without relying on a source of uniform random numbers, and compare it with more conv
Externí odkaz:
http://arxiv.org/abs/1005.2314
Autor:
Brent, Richard P.
We describe von Neumann's elegant idea for sampling from the exponential distribution, Forsythe's generalization for sampling from a probability distribution whose density has the form exp(-G(x)), where G(x) is easy to compute (e.g. a polynomial), an
Externí odkaz:
http://arxiv.org/abs/1005.0909
Autor:
Grcar, Joseph F.
Publikováno v:
Historia Math., vol. 38, no. 2, pp. 163-218, 2011
Newton, in notes that he would rather not have seen published, described a process for solving simultaneous equations that later authors applied specifically to linear equations. This method that Euler did not recommend, that Legendre called "ordinar
Externí odkaz:
http://arxiv.org/abs/0907.2397
Autor:
Timothy Sullivan, Chris J. Oates
This article attempts to place the emergence of probabilistic numerics as a mathematical-statistical research field within its historical context and to explore how its gradual development can be related both to applications and to a modern formal tr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a66055fd22995e48e87098db5a4a4ecb
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