A spectral method is described for solving coupled elliptic problems on an interior and an exterior domain. The method is formulated and tested on the two-dimensional interior Poisson and exterior Laplace problems, whose solutions and their normal derivatives are required to be continuous across the interface. A complete basis of homogeneous solutions for the interior and exterior regions, corr...

When a function f(x) is holomorphic on an interval x ∈ [a, b], its roots on the interval can be computed by the following three-step procedure. First, approximate f(x) on [a, b] by a polynomial fN (x) using adaptive Chebyshev interpolation. Second, form the Chebyshev– Frobenius companion matrix whose elements are trivial functions of the Chebyshev coefficients of the interpolant fN (x). Third, ...

We study the general problem of behaviour continuum function in presence non-supercompact strongly compact cardinals. begin by showing that it is possible to force violations GCH at an arbitrary cardinal using only strong compactness as our initial assumption. This result due third author. then investigate realising Easton functions and above least measurable limit supercompact cardinals starti...

The identification of three independent cardinal directions in color space suggests the existence of three independent post-receptoral mechanisms that can be desensitized by habituation to a temporally modulated light. In this paper, the differential response of each cardinal mechanism is estimated over a range of inputs before and after habituation. Simple mathematical considerations show that...

In the field of digital signal processing, the function of a filter is to remove unwanted parts of the signal such as random noise that is also undesirable. To remove noise from the speech signal transmission or to extract useful parts of the signal such as the components lying within a certain frequency range. Filters are broadly used in signal processing and communication systems in applicati...

the aim of this study was to evaluate germination of different sesame genotypes on response to temperature. heat and cold tolerance indexes were determined using cardinal temperatures and evaluations of genotypes were conducted to tolerate high or low temperatures using determined indexes. in order to, germination tests were conducted in fixed temperatures incubators with 10, 15, 20, 25, 30, 35...

The present paper discusses the stability analysis of discrete-time uncertain nonlinear systems with time-varying delay, uncertainties related to parametric uncertainty and unknown nonlinearity. The time-varying delay considered has minimum and maximum bounds. The novelty of Chebyshev Neural Network (CNN) is that it requires much less computation time as compared to multi layer neural network (...

"Domain truncation" is the simple strategy of solving problems on y E [ o o , oo] by using a large but finite computational interval, [ L , L ] . Since u(y) is not a periodic function, spectral methods have usually employed a basis of Chebyshev polynomials, Tn(y/L). In this note, we show that because u(_+ L) must be very, very small if domain truncation is to succeed, it is always more efficien...

In the context of large cardinals, the classical diamond principle 3κ is easily strengthened in natural ways. When κ is a measurable cardinal, for example, one might ask that a 3κ sequence anticipate every subset of κ not merely on a stationary set, but on a set of normal measure one. This is equivalent to the existence of a function ` ... κ → Vκ such that for any A ∈ H(κ) there is an embedding...

We provide a definition of Multidimensional Chebyshev Systems of order N which is satisfied by the solutions of a wide class of elliptic equations of order 2N . This definition generalizes a very large class of Extended Complete Chebyshev systems in the one-dimensional case. This is the first of a series of papers in this area, which solves the longstanding problem of finding a satisfactory mul...