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BRAZIL: BOOK TELLS OF JOURNEYS BY EMPEROR PEDRO II TO ARAB COUNTRIES.
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According to anba: The Brazilian historian Roberto Khatlab, who has been living in Lebanon for more than 20 years, is preparing to publish a book on the journeys of Brazil's second emperor, Dom Pedro II, to the Arab countries. The first visit to the Middle East and North Africa happened in 1871 and the second in 1876. "It will be a very interesting book because it is entirely based on the texts by Dom Pedro II himself," stated Khatlab, who plans on launching the work before the end of the year. Khatlab's researches are being made based on historical documents, like the ...
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Orthogonal polynomials and recurrence equations, operator equations and factorization.
Magazine article from: Electronic Transactions on Numerical Analysis
; ...orthogonal polynomials can be defined as the common polynomial solutions...all these polynomial systems are...the Bessel polynomials is not defined...orthogonal polynomials can be defined as the polynomial solutions of...
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Solving polynomials with computers.
Magazine article from: American Scientist
; ...about the roots of polynomials. The problem of finding exact solutions to polynomials was definitively...can be no universal polynomial-solving formula in...approaches to solving polynomials, the crucial factor...called the degree of the polynomial. The ancient Egyptians...
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Gegenbauer polynomials and semiseparable matrices.(Report)
Magazine article from: Electronic Transactions on Numerical Analysis
; ...1]. Gegenbauer polynomials [C.sup.([alpha...complete set of orthogonal polynomial solutions to the more...classical orthogonal polynomials mention Gegenbauer...families of Gegenbauer polynomials in [24] but the connection...evaluation of orthogonal polynomial expansions at Chebyshev...
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Polynomial best constrained degree reduction in strain energy.
Magazine article from: Electronic Transactions on Numerical Analysis
; ...respect to Jacobi orthogonal polynomials. Then we give explicitly...Key words. reduction, polynomials, approximation, Bezier...Degree reduction of polynomials consists in approximating a given polynomial f (t) by a lower degree...
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Asymptotics of polynomial solutions of a class of generalized lame differential equations.
Magazine article from: Electronic Transactions on Numerical Analysis
; ...Heine-Stieltjes polynomial. In the simplest...Heine-Stieltjes polynomials are just hypergeometric...possible Van Vleck polynomials C for which (1...Heine-Stieltjes polynomial y = [psi] of...are Van Vleck polynomials. In other words...there exists a polynomial solution y...
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Jacobi-weighted orthogonal polynomials on triangular domains.
Magazine article from: Journal of Applied Mathematics
; ...Bernstein polynomial basis. 1...orthogonal polynomials, a subject...defined. These polynomials [P.sub...orthogonal to each polynomial of degree...Bernstein polynomial basis. We show that these polynomials [P.sup...
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Duality of q-polynomials, orthogonal on countable sets of points.
Magazine article from: Electronic Transactions on Numerical Analysis
; ...Key words. q-orthogonal polynomials, duality, Jacobi matrix...2, ... , of orthogonal polynomials in one variable corresponds...indeterminate moment problem. If a polynomial family corresponds to the...measure [mu] for these polynomials and they constitute a complete...
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Alternative orthogona; polynomials and quadratures.
Magazine article from: Electronic Transactions on Numerical Analysis
; ...to construct sequences of polynomials, which are orthogonal over...Key words. orthogonal polynomial, recurrence relation, quadrature...the classical orthogonal polynomials originates from a problem...requirements [8]. The polynomials also may be defined by an...
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Numerical condition of polynomials in different forms.
Magazine article from: Electronic Transactions on Numerical Analysis
; ...investigated the effect of polynomial bases on the condition...condition numbers of polynomials in the power, orthogonal...2. Condition of polynomial evaluation and polynomial zero. Let [P...denote the set of polynomials with complex coefficients...
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On rational classical orthogonal polynomials and their application for explicit computation of inverse laplace transforms.
Magazine article from: Mathematical Problems in Engineering
; ...classical orthogonal polynomials, we give three...classical orthogonal polynomials are special cases of the polynomial solutions of the...to classify the polynomial solutions of...i) Jacobi polynomials [{[P.sup...
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