Multiple sums and generating functions.
L. Carlitz (1965)
Collectanea Mathematica
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Displaying similar documents to “Kelvin's solution and nuclei of strain in a solid mixture”
Multiple sums and generating functions.
Differential equations on the plane with given solutions.
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.
The hypothesis in Pesin theory
Charles C. Pugh (1984)
Publications Mathématiques de l'IHÉS
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On the normal systems of differential equations
Breves Filho, J.A. (1974)
Portugaliae mathematica
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Non-free two-generator subgroups of SL(Q).
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.
An application of the method wherein the - and - methods are combined for the determination of the grating constant. [I.]
Swami Jnanananda (1936)
Časopis pro pěstování matematiky a fysiky
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Second order linear differential systems
F. Neuman (1980)
Annales scientifiques de l'École Normale Supérieure
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Boundary sentinels in cylindrical domains.
J. Saint Jean Paulin, M. Vanninathan (2001)
Revista Matemática Complutense
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We study a model describing vibrations of a cylindrical domain with thickness e > 0. A characteristic of this model is that it contains pollution terms in the boundary data and missing terms in the initial data. The method of sentinels'' of J. L. Lions [7] is followed to construct a sentinel using the observed vibrations on the boundary. Such a sentinel, by construction, provides information on pollution terms independent of missing terms. This requires resolution of initial-boundary...