This article is a response to E. Heit and B. K. Hayes’s (2005) comment on the target article “Induction and Categorization in Young Children: A Similarity-Based Model” (V. M. Sloutsky & A. V. Fisher, 2004a). The response discusses points of agreement and disagreement with Heit and Hayes; phenomena predicted by similarity, induction, naming, and categorization (SINC); and relationships between S...

Recently we have reported a new method of rational approximation the sinc function obtained by sampling and Fourier transforms. However, this requires trigonometric multiplier that originates from shifting property transform. In work show how to represent transform $f(t)$ in form ratio two polynomials without any multiplier. A MATLAB code showing algorithmic implementation proposed for is prese...

In this paper, the application of a Sinc-Collocation approach based on first derivative interpolation in numerical oceanography is presented. The specific model of interest involves a hydrodynamic model of wind-driven currents in coastal regions and semi-enclosed seas with depth-dependent vertical eddy viscosity. The model is formulated in two different but equivalent systems; a complex-velocit...

We investigate the behavior of imperfect band-limited occulting masks in a high-contrast imaging system through modeling and simulations. Grayscale masks having 1D Sinc(2) (linear-Sinc(2)) amplitude transmission coefficient (Sinc(4) intensity transmittance) profiles as well as optical density and wavelength-dependent parasitic phases are considered occulters. We compare the behaviors of several...

Sinc methods are now recognized as an efficient numerical method for problems whose solutions may have singularities, or infinite domains, or boundary layers. This work deals with the sinc-collocation method for solving linear and nonlinear system of second order differential equation. The method is then tested on linear and nonlinear examples and a comparison with B-spline method is made. It i...

This paper presents a novel approach to implement the interpolation function by means of Lagrange interpolators. The proposed architecture does not require high-frequency multipliers. With respect to conventional sinc filters of a comparable order, the response of Lagrange interpolators is better both in the passband and in the stopband, while the proposed implementation requires only a small i...

We establish universality limits for measures on a subarc of the unit circle. Assume that μ is a regular measure on such an arc, in the sense of Stahl, Totik, and Ullmann, and is absolutely continuous in an open arc containing some point z0 = e0 . Assume, moreover, that μ′ is positive and continuous at z0. Then universality for μ holds at z0, in the sense that the reproducing kernel Kn (z, t) f...

Introduction It has been noted in a number of reports that the response of species with rapid T2 decay to excitation pulses (or inversion pulses, for that matter) is more complex than for their longer-lived counterparts. More specifically, it has been shown that even for infinite TR, the nominal flip angle that produces the greatest amount of signal is not 90 degrees but an increasingly smaller...