Multiple sums and generating functions.
L. Carlitz (1965)
Collectanea Mathematica
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L. Carlitz (1965)
Collectanea Mathematica
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Roman Sikorski (1961)
Studia 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.
Manilal Shah (1977)
Gaceta Matemática
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Breves Filho, J.A. (1974)
Portugaliae mathematica
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Shah, Manilal (1972)
Portugaliae mathematica
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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.
Martin Gander, Laurence Halpern, Frédéric Magoulès, Francois Roux (2007)
International Journal of Applied Mathematics and Computer Science
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Patch substructuring methods are non-overlapping domain decomposition methods like classical substructuring methods, but they use information from geometric patches reaching into neighboring subdomains condensated, on the interfaces to enhance the performance of the method, while keeping it non-overlapping. These methods are very convenient to use in practice, but their convergence properties have not been studied yet. We analyze geometric patch substructuring methods for the special...