Results 231 to 240 of about 33,489 (278)

Darboux polynomials and first integrals of polynomial Hamiltonian systems

Communications in Nonlinear Science and Numerical Simulation, 2021
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Andrei Pranevich, Alexander Grin, Eduard Musafirov   +2 more
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Self-Integrating Polynomials

The College Mathematics Journal, 2005
3x By happy accident this student found a correct answer, but we know this trick won't always work or we wouldn't devote so much time learning to integrate! Let's call polynomials like the one in the example self-integrating. A questio naturally arises; how many self-integrating polynomials are there over the interval [0, 1]?
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Polynomial Nonlinear Integrals

2008
Nonlinear Integrals is a useful integration tool. It can get a set of virtual values by projecting original data to a virtual space using Nonlinear Integrals. The classical Nonlinear Integrals implement projection along with a line with respect to the attributes.
JinFeng Wang, KwongSak Leung, KinHong Lee, Zhenyuan Wang   +3 more
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An Integral Polynomial

Mathematics Magazine, 1995
occurs as the dimension of some representation of this group. As a result, we see the unexpected fact that the fraction given above is always an integer. We would like to derive this fact by an elementary method. Surprisingly enough, this does not seem to be very easy to prove. For one thing, an induction argument invariably fails. Even more surprising
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ON INTEGRAL NORMS FOR POLYNOMIALS

Mathematics of the USSR-Sbornik, 1976
In this paper various transformations of trigonometrical polynomials are introduced; these are then used to deduce asymptotic formulas for the behavior of sequences of integrals of the moduli of the polynomials. As a consequence a definitive form is found for a relationship (in both directions) between the summability and absolute convergence of ...
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Numerical integration using rys polynomials

Journal of Computational Physics, 1976
Abstract We define and discuss the properties of manifolds of polynomials J n ( t , x ) and R n ( t , x ), called Rys polynomials, which are orthonormal with respect to the weighting factor exp(− xt 2 ) on a finite interval of t . Numerical quadrature based on Rys polynomials provides an alternative approach to the computation of ...
King, Harry F., Dupuis, Michel
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Polynomial first integrals for quasi-homogeneous polynomial differential systems

Nonlinearity, 2002
Here, several results concerning first integrals of homogeneous polynomial systems of differential equations are generalized to quasi-homogeneous polynomial systems. Properties of such systems are characterized in terms of the eigenvalues of the associated Kowalevskaya matrix.
Llibre, Jaume, Zhang, Xiang
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Integral Norms of Trigonometric Polynomials

Mathematical Notes, 2001
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Complex polynomial phase integration

IEEE Transactions on Antennas and Propagation, 1985
A previously published integration algorithm applicable to the numerical computation of integrals with rapidly oscillating integrands is generalized. The previous algorithm involved quadratic approximation of the phase function which was assumed to be real. The present generalization concerns approximation of a complex phase function by a polynomial of
R. Pogortzelski, D. Mallery
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