given four complex matrices a, b, c and d where a 2 cnn and d 2 cmm andlet the matrix(a bc d)be a normal matrix and assume that  is a given complex number that is not eigenvalue of matrix a. we present a method to calculate the distance norm (with respect to 2-norm) from d to the set of matrices x 2 cmm such that,  be a multiple eigenvalue of matrix(a bc x). we also nd the nearest matrix ...

Motivated by an Arens regularity problem, we introduce the concepts of matrix Banach space and matrix Banach algebra. The notion of matrix normed space in the sense of Ruan is a special case of our matrix normed system. A matrix Banach algebra is a matrix Banach space with a completely contractive multiplication. We study the structure of matrix Banach spaces and matrix Banach algebras. Then we...

objective: diabetes plays an important role in the progression of tissue damage. influencing factors of the cellular matrix can lead to changes in the structure and function of tissues or their failure. herbal consumption can be effective in reducing tissue failure. the aim of the this study is to research the effect portulaca oleracea seeds on the levels of matrix metalloproteinase 2, 9 and ti...

one of the most important requirements of developing appropriate strategies for international marketing is correct identification of target markets. using quantitative techniques and decision making skills will lead to better results regarding the evaluation of marketing strategies. in this study, first we have used internal factor evaluation (ife) matrix for recognizing and comparing strengths...

in this paper, we characterize multiresolution analysis(mra) parseval frame multiwavelets in l^2(r^d) with matrix dilations of the form (d f )(x) = sqrt{2}f (ax), where a is an arbitrary expanding dtimes d matrix with integer coefficients, such that |deta| =2. we study a class of generalized low pass matrix filters that allow us to define (and construct) the subclass of mra tight frame multiwav...

background: breast cancer is one of the most common cancers in the world, particularly in iran. there are many genomic and molecular factors that cause the occurrence of breast cancer. many markers are associated with tumor invasiveness. matrix metalloproteinase includes a family of zinc-dependent endopeptidases that degrade various components of the extracellular matrix and basement membrane. ...

fullerenes are closed−cage carbon molecules formed by 12 pentagonal and n/2 – 10hexagonal faces, where n is the number of carbon atoms. patrick fowler in his lecture inmcc 2009 asked about the wiener index of fullerenes in general. in this paper werespond partially to this question for an infinite class of fullerenes with exactly 10ncarbon atoms. our method is general and can be applied to full...

various morphologies of silica nanoparticles were synthesized by a microwave-assisted pechini method. silica nanostructures were synthesized via a fast reaction between tetra ethyl ortho silicate and ammonia at presence citric acid and other effective agents in pechini procedure. then for preparation of polymer-matrix nanocomposites, sio2 nanoparticles were added to poly carbonate (pc) and poly...

I am just back from a fascinating trip to St. Petersburg, Russia. David Zilberman and Bill Sonnenschein (Haas School Leadership expert) went too, and my husband joined for a few days as well. We were invited by Svetlana Chernikova and Stan Tkachenko (ELP 2003) of St. Petersburg St. University, to work with colleagues from 11 faculties to set up the Regional Environmental Leadership Center for R...

The paper investigates how quantity competition operates in economies in which a network describes the set of feasible trades. A model is presented in which equilibrium dictates whether an individual buys, sells, or intermediates goods. The analysis first considers small economies, and provides suffi cient conditions for equilibrium existence, a characterization of prices and flows, and some ne...