Results 231 to 240 of about 37,919 (260)

Minimal degree solutions of polynomial equations

1987
Consider the general Bézout equation of the form \(A_ 1X_ 1+...+A_ rX_ r=C\) where C and the \(A_ i\) are from a polynomial ring R, and we are looking for a solution for the unknowns \(X_ i\) in the same ring. The case where R is the ring of polynomials in two variables over the real or complex field and \(C=1\) arises in multidimensional systems and ...
GENTILI, GRAZIANO, D. STRUPPA
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Polynomial Solutions of Transition Curves

Journal of Surveying Engineering, 2011
The solutions of transition curves presented in this paper are new geometric solutions that can be used in various tasks related to road designing. Their basic advantage is that they form groups of transition curves. This paper is concerned with transition curves with the classical curvature diagram and so-called general transition curves. These can be
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Orthogonality of the Polynomial Solutions

2010
In this section we consider the possible orthogonality of polynomials satisfying a three-term recurrence relation of the form (2.5.1). Hereby we use Favard’s theorem (see for instance (Chihara in An Introduction to Orthogonal Polynomials. Gordon and Breach, New York, 1978)):
Roelof Koekoek, Peter A. Lesky, René F. Swarttouw   +2 more
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Solution of Algebraic Polynomial Systems

2018
Let us consider the following polynomial $$ p = 2x + x^{3} y^{2} + y^{2} . $$ The monomials are \( x^{3} y^{2} \) with coefficient 1, and \( x^{1} y^{0} \) with coefficient 2 and \( x^{0} y^{2} \) with coefficient 1.
Joseph L. Awange, Béla Paláncz, Robert H. Lewis, Lajos Völgyesi   +3 more
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DIFFERENTIAL EQUATIONS WITH POLYNOMIAL SOLUTIONS

The Quarterly Journal of Mathematics, 1949
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Cubic-quartic optical solitons and other solutions for twin-core couplers with polynomial law of nonlinearity using the extended F-expansion method

Optik, 2022
Hamdy M Ahmed
exaly  

Solution of Polynomial Equations

2021
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Polynomial Eigenvalue Solutions to Minimal Problems in Computer Vision

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2012
Zuzana Kukelova, Tomas Pajdla
exaly  

Method of particular solutions using polynomial basis functions for the simulation of plate bending vibration problems

Applied Mathematical Modelling, 2017
Ji Lin, Cs Chen, Fajie Wang
exaly  

Analyzing the combined multi-waves polynomial solutions in a two-layer-liquid medium

Computers and Mathematics With Applications, 2018
Abdul Majid Wazwaz, Mohamed Osman
exaly