Results 31 to 40 of about 5,856,460 (293)
MATRICES OF RATIONAL FUNCTIONS [PDF]
Bulletin of the Australian Mathematical Society, 1974 The properties of the degree of a matrix of rational functions are obtained in a simplified way, which enables them to be generalised to matrices whose elements are not necessarily rational functions. On the basis of these results a theory of realisations is developed, which similarly generalises the theory of state space realisations of a matrix of ...
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The Imagery Models of Mathematics Teacher Candidates on Graph of Rational and Irrational Functions
Journal of Research and Advances in Mathematics Education, 2019 Mathematics teacher candidates are required to have both expertise and communication skills. Therefore, they should have a good imagery model. The present study is a descriptive qualitative research that involved the students of mathematics education ...
Darmadi Darmadi
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The neutrosophic integrals by partial fraction [PDF]
Neutrosophic Sets and Systems, 2022 The purpose of this article is to study the neutrosophic integrals by partial fraction, where the neutrosophic fraction function is defined, in addition, four cases of the neutrosophic proper rational function were discussed, also, integral of the ...
Yaser Ahmad Alhasan
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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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A Green's function for diffraction by a rational wedge [PDF]
, 1989 In this paper we derive an expression for the point source Green's function for the reduced wave equation, valid in an angular sector whose angle is equal to a rational multiple of 77.
Rawlins, AD
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Hilbert’s 17th problem in free skew fields
Forum of Mathematics, Sigma, 2020 This paper solves the rational noncommutative analogue of Hilbert’s 17th problem: if a noncommutative rational function is positive semidefinite on all tuples of Hermitian matrices in its domain, then it is a sum of Hermitian squares of noncommutative ...
Jurij Volčič
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Spherical wave diffraction by a rational wedge [PDF]
, 1986 In this paper we derive a new expression for the point source Green's function for the reduced wave equation, valid in an angular sector, whoseangle is equal to a rational multiple of . This Green's function is used to find new expressions for the field
Rawlins, A D
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Approximation by Rational Functions [PDF]
Proceedings of the American Mathematical Society, 1986 Making use of the Hardy-Littlewood maximal function, we give a new proof of the following theorem of Pekarski: If f ′ f’
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Resolution of Singularities by Rational Functions
SIAM Journal on Numerical Analysis, 2023 Results on the rational approximation of functions containing singularities are presented. We build further on the ''lightning method'', recently proposed by Trefethen and collaborators, based on exponentially clustering poles close to the singularities.
Herremans, Astrid +2 more
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Simple Equational Specifications of Rational Arithmetic [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We exhibit an initial specification of the rational numbers equipped with addition, subtraction, multiplication, greatest integer function, and absolute value. Our specification uses only the sort of rational numbers.
Lawrence S. Moss
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