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Rational Solutions of Painlevé Equations

Studies in Applied Mathematics, 1979
With Bäcklund transformations, we construct explicit solutions of Painlevé equations 2 and 4. Independently, we find solutions of degenerate cases of equations 3 and 5. The six Painlevé transcendents are referred to as 1–6.
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Rational solutions of the graphsack problem

Mathematical Programming, 1984
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Rational and semi-rational solutions of the Kadomtsev–Petviashvili-based system

Nonlinear Dynamics, 2018
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Yongshuai Zhang   +3 more
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On Rational Solutions of Pseudo-linear Systems

2021
We develop a new algorithm for computing rational solutions of partial pseudo-linear systems. The algorithm uses a recursive process based on the computation of rational solutions for a sole pseudo-linear system. Using the general setting of pseudo-linear algebra, we revisit the computation of rational solutions for a pseudo-linear system.
Moulay A. Barkatou   +2 more
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Rational solutions of singular linear systems

Proceedings of the 2000 international symposium on Symbolic and algebraic computation, 2000
A deterministic algorithm is presented for computing a particular solution to a linear system of equations with polynomial coefficients. Given an A ∈ F[x]n × m and b ∈ F[x]n, where F is a field, the algorithm will either return a particular solution v ∈ F(x)m to the system Av = b or determine that the system is inconsistent.
Thom Mulders, Arne Storjohann
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Is a Rational Solution Possible?

Society, 2010
The debate about immigration reform, like many other critical ones in America today, cannot be resolved just by providing common sense suggestions for compromises. A substantial number of whites fear immigrants in general, not just illegal ones, and blame them for America’s economic and social problems.
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Solutions of multivariate Rational Expectations Models

Econometric Theory, 1995
The aim of this paper is the study of the path solutions of a multivariate rational expectations model. We describe several procedures for solving such dynamic systems based on either the adjoint operator method or the Smith form. As a by-product, we derive the dimension of the set of solutions in terms of martingale differences and the dimension of ...
Broze, Laurence   +2 more
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Rationing - the final solution?

British Journal of Healthcare Management, 2004
The ‘Provocations’ series returns for 2004 with a thesis on how future demand for health care could be managed.
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Rational solutions to a KdV-like equation

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yi Zhang, Wen-Xiu Ma
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Solution of rational difference equation

2019
Summary: The behavior of the solutions of the following system of difference equations is examined, \[ x_{n+1}=\frac{x_{n-27}}{1+x_{n-3}x_{n-7}x_{n-11}x_{n-15}x_{n-19}x_{n-23}} \] where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers.
Simşek D., Ogul B., Imashkyzy M.
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