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Asymptotic expansions for ordinary differential equations
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Asymptotic expansions for ordinary differential equations as discussed by the authors, asymptotics expansions for ODEs, Asymptotically expansion for ordinary DDEs and their derivatives.Abstract:
Asymptotic expansions for ordinary differential equations , Asymptotic expansions for ordinary differential equations , مرکز فناوری اطلاعات و اطلاع رسانی کشاورزیread more
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Page usage in a quadtree index
Mamoru Hoshi,Philippe Flajolet +1 more
TL;DR: A characterization of the storage needs of a quadtree when used as an index to access large volumes of 2-dimensional data is provided and it is shown that the page occupancy for data in random order approaches 33%.
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On the calculation of Stokes multipliers for linear differential equations of the second order
TL;DR: In this paper, two new methods for the computation of connection coefficients for the asymptotic solutions of linear second-order differential equations having an irregular singularity of arbitrary rank are described.
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On some aspects of the Deligne-Simpson problem
TL;DR: In this article, the Deligne-Simpson problem in the multiplicative version is formulated like this: {\em give necessary and sufficient conditions for the choice of the conjugacy classes $C_j\in SL(n,{\bf C})$ so that there exist irreducible $(p+1)$-tuples of matrices $M_j \in C_j$ satisfying the equality $M 1... M p+1}=I$}.
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Non-linear PDEs for gap probabilities in random matrices and KP theory
TL;DR: In this article, it was shown that the Airy and Pearcey-like kernels are intimately related to wave functions for polynomial (Gelfand-Dickey) reductions or rational reductions of the KP-hierarchy.
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Generating Function Associated with the Hankel Determinant Formula for the Solutions of the Painlevé IV Equation
TL;DR: In this article, the authors considered a Hankel determinant formula for generic solutions of the Painleve IV equation and showed that the generating functions for the entries of the determinants are related to the asymptotic solution at infinity of the isomonodromic problem.