Multiple sums and generating functions.
L. Carlitz (1965)
Collectanea Mathematica
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L. Carlitz (1965)
Collectanea Mathematica
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Breves Filho, J.A. (1974)
Portugaliae mathematica
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R. Ramírez, N. Sadovskaia (1996)
Collectanea Mathematica
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The aim of this paper is to construct the analytic vector fields with given as trajectories or solutions. In particular we construct the polynomial vector field from given conics (ellipses, hyperbola, parabola, straight lines) and determine the differential equations from a finite number of solutions.
S. Peter Farbman (1995)
Publicacions Matemàtiques
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The question of whether two parabolic elements A, B of SL(C) are a free basis for the group they generate is considered. Some known results are generalized, using the parameter τ = tr(AB) - 2. If τ = a/b ∈ Q, |τ| < 4, and |a| ≤ 16, then the group is not free. If the subgroup generated by b in Z / aZ has a set of representatives, each of which divides one of b ± 1, then the subgroup of SL(C) will not be free.
Lidia Aceto (2005)
Bollettino dell'Unione Matematica Italiana
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In this paper we introduce and analyze some relations between the Pascal matrix and a new class of numerical methods for differential equations obtained generalizing the Adams methods. In particular, we shall prove that these methods are suitable for solving stiff problems since their absolute stability regions contain the negative half complex plane.
Enrico Bombieri (1971-1972)
Séminaire Bourbaki
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Michael Hinze, Ulrich Matthes (2009)
Control and Cybernetics
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Roman Sikorski (1961)
Studia Mathematica
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Karina Gibert, Ulises Cortés (1997)
Mathware and Soft Computing
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Description of individuals in ill-structured domains produces messy data matrices. In this context, automated classification requires the management of those kind of matrices. One of the features involved in clustering is the evaluation of distances between individuals. Then, a special function to calculate distances between individuals partially simultaneously described by qualitative and quantitative variables is required. In this paper properties and details of the metrics...