Results 1 to 10 of about 558,531 (279)
Rural Teachers’ Teaching of Algebraic Functions Through a Commognitive Lens
Interdisciplinary Journal of Rural and Community Studies, 2021 Rural contexts and their schools have continuously been overlooked by researchers of mathematics education in South Africa. This is despite the assumption that the educational landscape may vary markedly in rural areas compared to urban and township ...
Hlamulo Mbhiza
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Analytic Combinatorics of Lattice Paths: Enumeration and Asymptotics for the Area [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 This paper tackles the enumeration and asymptotics of the area below directed lattice paths (walks on $\mathbb{N}$ with a finite set of jumps). It is a nice surprise (obtained via the "kernel method'') that the generating functions of the moments of the ...
Cyril Banderier, Bernhard Gittenberger
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Coefficients of algebraic functions: formulae and asymptotics [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 This paper studies the coefficients of algebraic functions. First, we recall the too-little-known fact that these coefficients $f_n$ have a closed form. Then, we study their asymptotics, known to be of the type $f_n \sim C A^n n^{\alpha}$.
Cyril Banderier, Michael Drmota
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Mathematics, 2020 While browsing through the famous book of Bierens de Haan, we came across a table with some very interesting integrals. These integrals also appeared in the book of Gradshteyn and Ryzhik.
Robert Reynolds, Allan Stauffer
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Separating Function Algebras [PDF]
Nagoya Mathematical Journal, 1972 Recent results of Hoffman and Singer [7], Weiss [10] and Wilken [11] indicate that the study of separation properties play a central rôle in the theory of function algebras. Our purpose in this paper is to investigate a natural separation property of function algebras.
Csordas, G. L., Reiter, H. B.
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Some Properties of Extended Euler’s Function and Extended Dedekind’s Function
Mathematics, 2020 In this paper, we find some properties of Euler’s function and Dedekind’s function. We also generalize these results, from an algebraic point of view, for extended Euler’s function and extended Dedekind’s function, in algebraic number fields ...
Nicuşor Minculete, Diana Savin
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Improving the efficiency of using multivalued logic tools: application of algebraic rings
Scientific Reports, 2023 It is shown that in order to increase the efficiency of using methods of abstract algebra in modern information technologies, it is important to establish an explicit connection between operations corresponding to various varieties of multivalued logics ...
Ibragim E. Suleimenov +3 more
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On criteria for algebraic independence of collections of functions satisfying algebraic difference relations [PDF]
Opuscula Mathematica, 2017 This paper gives conditions for algebraic independence of a collection of functions satisfying a certain kind of algebraic difference relations. As applications, we show algebraic independence of two collections of special functions: (1) Vignéras ...
Hiroshi Ogawara
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Finiteness theorems for algebraic tori over function fields
Comptes Rendus. Mathématique, 2021 We present a number of finiteness results for algebraic tori (and, more generally, for algebraic groups with toric connected component) over two classes of fields: finitely generated fields and function fields of algebraic varieties over fields of type ...
Rapinchuk, Andrei S., Rapinchuk, Igor A.
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Algebraic vertices of non-convex polyhedra [PDF]
, 2017 In this article we define an algebraic vertex of a generalized polyhedron and show that it is the smallest set of points needed to define the polyhedron.
Akopyan, Arseniy +2 more
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