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Linear operators with invariant polynomial space and graded algebra
Journal of Mathematical Physics, 1997The irreducible, finite-dimensional representations of the graded algebras osp(j,2) (j=1,2,3) are expressed in terms of differential operators. Some quantum deformations of these algebras are shown to admit similar kinds of representations. These are formulated in terms of finite difference operators.
Brihaye, Y. +2 more
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Solution of an Equation in a Linear Algebra by Means of the Minimal Polynomial
Mathematics Magazine, 1969where A is an element (e.g., a matrix) which generates a finite dimensional linear algebra C [A] over the complex number field C. To do this we shall need certain ideas and results from linear algebra; these are presented in Section 2. In succeeding sections the main results of the paper are derived which lead to the principal theorem of the paper.
John C. Kieffer, F. Max Stein
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Polynomial IOPs for Linear Algebra Relations
2022Alan Szepieniec, Yuncong Zhang
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The Hilbert polynomial and linear forms in the logarithms of algebraic numbers
Izvestiya: Mathematics, 2008We prove a new estimate for homogeneous linear forms with integer coefficients in the logarithms of algebraic numbers. We obtain a qualitative improvement of the estimate depending on the coefficients of the linear form and the best value of the constant in the estimate in the case when the number of logarithms is not too large.
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On the linear independence of the derivatives of Bernstein polynomials
Journal of Computational and Applied Mathematics, 2022Lizheng Lu
exaly
Numerical solution for the variable order linear cable equation with Bernstein polynomials
Applied Mathematics and Computation, 2014Yiming Chen
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Solving Non-Linear Fractional Variational Problems Using Jacobi Polynomials
Mathematics, 2019Harendra Singh +2 more
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On the linear functionals associated to linearly related sequences of orthogonal polynomials
Journal of Mathematical Analysis and Applications, 2006J Petronilho
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