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...

in this work, we study the performance of the sinc-collocation method for solving bratu's problem. for different choices of step size, we consider the maximum absolute errors in the solutions at sinc grid points and tabulated in tables. the comparison of the obtained results veri ed that this method converges to the exact solution rapidly and with

Abstract In this paper, we study the nonuniform fast Fourier transform with nonequispaced spatial and frequency data (NNFFT) sinc as its application. The computation of NNFFT is mainly based on nodes equispaced frequencies (NFFT). employs two compactly supported, continuous window functions. For fixed nonharmonic bandwidth, show that error $$\sinh$$ <mml:math xmlns:mml="http://www.w3.org/1998/M...

We present five theorems concerning the asymptotic convergence rates of Chebyshev interpolation applied to functions transplanted to either a semi-infinite or an infinite interval under exponential or double-exponential transformations. This strategy is useful for approximating and computing with functions that are analytic apart from endpoint singularities. The use of Chebyshev polynomials ins...

Using Coherent-State (CS) techniques, we prove a sampling theorem for holomorphic functions on the hyperboloid (or its stereographic projection onto the open unit disk D1), seen as a homogeneous space of the pseudo-unitary group SU(1, 1). We provide a reconstruction formula for bandlimited functions, through a sinc-type kernel, and a discrete Fourier transform from N samples properly chosen. We...

The apodization function plays an important role in the behavior of the mean dispersion, group delay and significant reduction of sidelobe level in reflection spectrum. On the other hand, the grating length represents as one of the critical parameters in contributing to a high performance fiber Bragg grating compensator. In this paper, we have investigated and compared the performances of vario...

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...

We consider the application of a Sinc-Collocation approach based on first derivative to solve boundary value problems (BVPs) arising from fluid dynamics related models. Even in the presence of singularities that are often present in fluid dynamics problems involving boundary layers, the Sinccollocation technique provides exponentially convergent approximations including those posed on unbounded...

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...