Results 31 to 40 of about 156,857 (312)
Reconstructing rational functions with FireFly [PDF]
Computer Physics Communications, 2020 Abstract We present the open-source C++ library FireFly for the reconstruction of multivariate rational functions over finite fields. We discuss the involved algorithms and their implementation. As an application, we use FireFly in the context of integration-by-parts reductions and compare runtime and memory consumption to a fully algebraic ...
Jonas Klappert, Fabian Lange
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Characterizations of rectangular (para)-unitary rational functions [PDF]
Opuscula Mathematica, 2016 We here present three characterizations of not necessarily causal, rational functions which are (co)-isometric on the unit circle: (i) through the realization matrix of Schur stable systems, (ii) the Blaschke-Potapov product, which is then employed to ...
Daniel Alpay +2 more
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Rational Schubert polynomials [PDF]
, 2015 We define and study the rational Schubert, rational Grothendieck, rational key polynomials in an effort to understand Molev's dual Schur functions from the viewpoint of ...
Aker, Kursat, TUTAŞ, NESRİN
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A rank formula for the self-commutators of rational Toeplitz tuples
Journal of Inequalities and Applications, 2016 In this paper we derive a rank formula for the self-commutators of tuples of Toeplitz operators with matrix-valued rational symbols.
In Sung Hwang, An Hyun Kim, Sumin Kim
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Modeling corneal surfaces with rational functions for high-speed videokeratoscopy data compression [PDF]
, 2009 High-speed videokeratoscopy is an emerging technique that enables study of the corneal surface and tear-film dynamics. Unlike its static predecessor, this new technique results in a very large amount of digital data for which storage needs become ...
Schneider, Martin +2 more
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Properties of rational arithmetic functions
International Journal of Mathematics and Mathematical Sciences, 2005 Rational arithmetic functions are arithmetic functions of the form g1∗⋯∗gr∗h1−1∗⋯∗hs−1, where gi, hj are completely multiplicative functions and ∗ denotes the Dirichlet convolution. Four aspects of these functions are studied.
Vichian Laohakosol, Nittiya Pabhapote
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Affine permutations and rational slope parking functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We introduce a new approach to the enumeration of rational slope parking functions with respect to the area and a generalized dinv statistics, and relate the combinatorics of parking functions to that of affine permutations. We relate our construction to
Eugene Gorsky +2 more
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On the decomposition of rational functions
Journal of Symbolic Computation, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohamed Ayad, Peter Fleischmann
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Integration of Rational Functions [PDF]
, 2023 A rational function can always be integrated, that is, the integral of such a function is always an elementary function. The integration procedure is complex and consists of four steps: elimination of the common zero-points of the numerator and ...
Mishra, Vishnu Narayan +5 more
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A template generation algorithm for non-rational transfer functions in QFT designs [PDF]
, 1997 In several applications of quantitative feedback theory (QFT) approach to robust controller synthesis, templates of uncertain non-rational transfer functions are required to be numerically generated.
NATARAJ, PSV, SARDAR, G
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