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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...

The multiplicities in the decomposition (Equation 0.1) are equivalent to the famousLittlewood-Richardson coe cients, 1 and in this appendix, we describe a result known as the Littlewood-Richardson (LR) rule which will allow us to compute the Littlewood-Richardson coe cients tractably (at least for low-order terms). There are several methods for computing these numbers (see [Knutson and Tao, 199...

A Maximum Entropy statistical treatment of an inverse problem concerning frame theory is presented. The problem arises from the fact that a frame is an overcomplete set of vectors that de nes a mapping with no unique inverse. Although any vector in the concomitant space can be expressed as linear combination of frame elements, the coe cients of the expansion are not unique. Frame theory guarant...

1 Asst. Prof. Department of Elec. and Comm. Engg, Priyadarshini Bhagwati COE, Nagpur, Maharashtra ,India. 2 Asst. Prof. Department of Electronics Engg, Priyadarshini Bhagwati COE, Nagpur, Maharashtra ,India. 3 Asst. Prof. Department of Electronics Engg, Priyadarshini Bhagwati COE, Nagpur, Maharashtra ,India. ---------------------------------------------------------------------***---------------...

In this paper we examine the ̄nite-sample properties of the approximate maximum likelihood estimate (MLE) of the fractional di®erencing parameter d in an ARFIMA(p, d, q) model based on the wavelet coe±cients. Ignoring wavelet coe±cients of higher order of resolution, the remaining wavelet coe±cients approximate a sample of independently and identically distributed normal variates with homogeneo...

The subresultants play a fundamental role in elimination theory and computer algebra. Recently they have been extended to Ore polynomials. They are de ̄ned by an expression in the coe±cients of Ore polynomials. In this paper, we provide another expression for them. This expression is written in terms of the \solutions" of Ore polynomials (in \generic" case). It is a generalization of our previou...

Robust repeated measures discriminant analysis (RMDA) procedures based on parsimonious covariance structures were developed using trimmed estimators. The e ects of non-normality, covariance structure, and mean con guration on bias and root mean square error (RMSE) of RMDA coe cients were studied using Monte Carlo techniques. The bias and RMSE values of robust RMDA coe cients were at least 10% a...

We consider an elliptic partial di erential operator P (x; @) with analytic coe cients and discuss the unique continuation along an analytic curve. That is, let P (x; @)u = 0 in a simply connected domain R, be an analytic curve and let fxgj2N have an accumulation point. Our main result asserts that if u(x) = 0, j 2 N , then u(x) = 0 for any x 2 . Furthermore we apply such uniqueness to an isotr...