Data clustering methods have been proven to be a successful data mining technique in the analysis of gene expression data. The Cluster affinity search technique (CAST) developed by Ben-Dor, et. al., 1999, which has been shown to cluster gene expression data well, has two drawbacks. First, the algorithm uses a fixed initial threshold value to start the clustering. As stated in the original paper...

was the preeminent mathematician of the early decades of the 20th Century, 1 a mathematician whose pivotal and penetrating results, emphasis on central problems and conjectures, and advocacy of programmatic approaches greatly expanded mathematics with new procedures, initiatives, and contexts. With the emerging exten-sional construal of mathematical objects and the development of abstract struc...

This document contains several sections of the CAST-256 AES Submission Package delivered to NIST on June 9, 1998. All complete submissions received by NIST will be made public in late August at the First AES Candidate Conference, but the following material is being made available now so that public analysis of the CAST-256 algorithm may begin (see, for example, http://www.ii.uib.no/~larsr/aes.h...

on utilizing the spectral representation of selfadjoint operators in hilbert spaces, some error bounds in approximating $n$-time differentiable functions of selfadjoint operators in hilbert spaces via a taylor's type expansion are given.

The objectives of this project are; to demonstrate that hydrographic variability in shelf waters can be hind-cast, to a quantifiable degree, using a simple 1 dimensional physical model. To demonstrate that the model can be used to interpret the regional variability of ocean colour in terms of the mechanisms of physical forcing on phytoplankton growth. The effects of tidal front dynamics and the...

The soluble fraction from rabbit brain was adsorbed on a column of phenyl-Sepharose. By applying a linear gradient with decreasing salt concentration and increasing pH, it was possible to separate calpain I and calpain II from each other and from the endogenous inhibitor calpastatin. Both enzymes were capable of degrading endogenously labelled neuronal proteins, including slowly axonally transp...

in this paper we investigate a new notion of bases in hilbert spaces and similarto fusion frame theory we introduce fusion bases theory in hilbert spaces. we also introducea new denition of fusion dual sequence associated with a fusion basis and show that theoperators of a fusion dual sequence are continuous projections. next we dene the fusionbiorthogonal sequence, bessel fusion basis, hilbe...

Frames which can be generated by the action of some operators (e.g. translation, dilation, modulation, ...) on a single element $f$ in a Hilbert space, called coherent frames. In this paper, we introduce a class of continuous frames in a Hilbert space $mathcal{H}$ which is indexed by some locally compact group $G$, equipped with its left Haar measure. These frames are obtained as the orbits of ...

in this paper we get some results and applications for duals and approximate duals of g-frames in hilbert spaces. in particular, we consider the stability of duals and approximate duals under bounded operators and we study duals and approximate duals of g-frames in the direct sum of hilbert spaces. we also obtain some results for perturbations of approximate duals.