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Sensory and perceptual interactions in weight perception
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In four experiments, a multidimensional signal detection analysis was used to determine the influence of length, diameter, and mass on haptically perceived heaviness with and without vision. This analysis allowed us to test for sensory and perceptual interactions between mass and size. As in previous research, sensory interactions were apparent in all four experiments. A novel result was the appearance of perceptual interactions that became more prominent when diameter varied and when vision was allowed. Discussion focuses on how vision and the modalities of touch (i.e., haptic and dynamic) ...
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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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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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From Taylor to quadratic Hermite-Pade polynomials.
Magazine article from: Electronic Transactions on Numerical Analysis
; ...Hermite-Pade Polynomials in Three Steps...1. Taylor Polynomials. For each...N the Taylor polynomial of the function...arrow] 0. The polynomial [t.sub.n...2.2. Pade Polynomials and Pade Approximants...
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