The Vandermonde and con uent Vandermonde matrices are of fundamental signi cance in matrix theory. A further generalization of the Vandermonde matrix called the q-adic coe cient matrix was introduced in [V. Mani and R. E. Hartwig, Lin. Algebra Appl., to appear]. It was demonstrated there that the q-adic coe cient matrix reduces the Bezout matrix of two polynomials by congruence. This extended t...

Faculty: Y.H. Chen, Associate Professor, School of Mechanical Engineering (COE) R.F. Fox, Regents’ Professor, Chair of School of Physics (COS) R. Grigoriev, Assistant Professor, School of Physics (COS) E.M. Harrell, Professor, School of Mathematics(COS) C.A. Klausmeier, Assistant Professor, School of Biology (COS) P.J. Mucha, Assistant Professor, School of Mathematics (COS) G.P. Neitzel, Profes...

New calculations of the sixth virial coe cient are presented for binary hard disc mixtures. For each diameter ratio considered, the calculations involve about 1600 9-dimensional integrals. The integrals are evaluated exactly in d dimensions, and approximately, using the Korobov± Conroy number theoretical method, in the other (9­ d ) dimensions, where d is between 4 and 8 for each diagram. The ...

This article proposes some non-linear, thresholded wavelet density estimators, and investigates the practical problems involved in their implementation. Our proposed thresholding method exploits the non-stationary variance structure of the wavelet coe cients. One proposed method of estimating the variances of the raw coe cients uses the scaling function coe cients. Since these are available as ...

Many image and video compression schemes perform the discrete cosine transform (DCT) to represent image data in frequency space. An analysis of a broad suite of images con rms previous nding that a Laplacian distribution can be used to model the luminance AC coe cients. This model is expanded and applied to color space (Cr/Cb) coe cients. In MPEG, the DCT is used to code interframe prediction e...

The goal is to improve recognition rate by optimisation of Mel Frequency Cepstral Coe cients (MFCCs): modi cations concern the time-frequency representations used to estimate these coe cients. There are many ways to obtain a spectrum out of a signal which di er in the method itself (Fourier, Wavelets,...), and in the normalisation. We show here that we can obtain noise resistant cepstral coe ci...

NonGaussian Markov image models are e ective in the preservation of edge detail in Bayesian formulations of restoration and reconstruction problems. Included in these models are coe cients quantifying the statistical links among pixels in local cliques, which are typically assumed to have an inverse dependence on distance among the corresponding neighboring pixels. Estimation of these coe cient...

The concept of the multirelation coe cient is de ned to describe the closeness of a set of variables to a linear relation This concept extends the linear correlation between two variables to two or more variables Parameters of a beta distribution are determined that are utilized to approximate signi cance levels of the multirelation coe cient for any given number of observations and variables A...

Advanced multimedia techniques offer significant learning potential for students. Dale (1946, 1954, 1969) developed a Cone of Experience (CoE) which is a hierarchy of learning experiences ranging from direct participation to abstract symbolic expression. This paper updates the CoE for today's technology and learning context, specifically focused on the use of multimedia in education. The new hi...

The synthesis of trans-[{Rh(μ-Cl)(CO)(coe)}2] (1) was described by Varshavsky et al. some years ago [1, 2], but no crystal structure of this compound was reported. In an attempt to probe a possible convenient synthesis of [{Rh(μ-Cl)(CO)2}2] from the precursor [{Rh(μ-Cl)(coe)2}2] and carbon monoxide in diethyl ether, we found that the target complex was not available by this method. Instead, the...