 "Albany Times Union (Albany, NY)")
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AMAZON RIVER OF DREAMS FOR POOR.(EARLY BIRD)
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Byline: MICHAEL ASTOR Associated Press
ABOARD THE JOAO PESSOA LOPES, Brazil -- The riverboat churns slowly up the silt-brown Amazon River, easy prey for the canoes that swarm from stilt houses on the riverbank like piranhas attacking a stricken cow.
Paddling furiously, the young ``caboclos'' -- Amazon residents of mixed white and Indian blood -- come alongside and clamber aboard, trailing spools of towline.
Some beg for money. Others peddle delicacies harvested from the jungle: jars of white hearts of palm, bright red jambo fruits, the juice of 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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