Results 31 to 40 of about 4,072,499 (360)
ALGEBRAIC EQUATIONS WITH LINEAR SHIFT OPERATORS ON SEQUENCES [PDF]
In this note we recall (see also [8]) the structure of all recurrent sequences which satisfy a fixed recurrence relation, with entries in a perfect field.
SEVER ANGEL POPESCU
doaj
Analytical Solutions of Schr\"odinger Equation for the diatomic molecular potentials with any angular momentum [PDF]
Analytical solutions of the Schrodinger equation are obtained for some diatomic molecular potentials with any angular momentum. The energy eigenvalues and wave functions are calculated exactly.
Akcay, Huseyin, Sever, Ramazan
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SOLUTION OF ALGEBRAIC EQUATIONS BY THE METHOD OF АITKEN-NIKIPORTS
Presents analytical expressions representing all the roots of a random algebraic equation of the n-th degree through the ratio of the original equation. These formulas consist of two relations infnite Toeplitz determinants, diagonal elements of which are
Gennadiy Anatol'yevich Kirichenko +2 more
doaj
Generic planar algebraic vector fields are disintegrated
In this article, we study model-theoretic properties of algebraic differential equations of order $2$, defined over constant differential fields. In particular, we show that the set of solutions of a general differential equation of order $2$ and of ...
Jaoui, Rémi
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Denumerability of the Algebraic Numbers
An algebraic number is a real number that is a root of a polynomial equation anXn + an-1Xn-1…+a0 where ai are integers. In this paper, using the fact that a polynomial equation of degree n has at most n roots, together with some results, the ...
Marleonie Bauyot
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Global algebraic Poincaré–Bendixson annulus for the Rayleigh equation
We consider the Rayleigh equation $\ddot{x} + \lambda (\dot{x}^2/3-1)\dot{x} +x=0$ depending on the real parameter $\lambda$ and construct a Poincaré–Bendixson annulus $\mathcal{A}_\lambda$ in the phase plane containing the unique limit cycle $\Gamma_ ...
Alexander Grin, Klaus Schneider
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Modified Extended Lie-Group Method for Hessenberg Differential Algebraic Equations with Index-3
Hessenberg differential algebraic equations (Hessenberg-DAEs) with a high index play a critical role in the modeling of mechanical systems and multibody dynamics.
Juan Tang, Jianguang Lu
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An algebraic Birkhoff decomposition for the continuous renormalization group
This paper aims at presenting the first steps towards a formulation of the Exact Renormalization Group Equation in the Hopf algebra setting of Connes and Kreimer.
Brouder C. +17 more
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LET there be given an algebraic equation of the nth degree written x + CnAaix + Cnt2a2X + h an = 0, where (7n,i, Cn$, • • • denote binomial coefficients.
G. Birkhoff
semanticscholar +1 more source
An approximation method for the solution of nonlinear integral equations [PDF]
A Chebyshev collocation method has been presented to solve nonlinear integral equations in terms of Chebyshev polynomials. This method transforms the integral equation to a matrix equation which corresponds to a system of nonlinear algebraic equations ...
Akyuz-Dascioglu, A, Yaslan, HC
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