Let Ω = {1, 2, . . . , n} where n 2. The shape of an ordered set partition P = (P1, . . . , Pk) of Ω is the integer partition λ = (λ1, . . . , λk) defined by λi = |Pi|. Let G be a group of permutations acting on Ω. For a fixed partition λ of n, we say that G is λ-transitive if G has only one orbit when acting on partitions P of shape λ. A corresponding definition can also be given when G is jus...

A spin model is a triple (X,W+,W−), where W+ and W− are complex matrices with rows and columns indexed by X which satisfy certain equations (these equations allow the construction of a link invariant from (X,W+,W−)). We show that these equations imply the existence of a certain isomorphism 9 between two algebras M and H associated with (X,W+,W−). When M = H = A, A is the Bose-Mesner algebra of ...

A matrix $Pintextmd{C}^{ntimes n}$ is called a generalized reflection matrix if $P^{H}=P$ and $P^{2}=I$‎. ‎An $ntimes n$‎ ‎complex matrix $A$ is said to be a reflexive (anti-reflexive) matrix with respect to the generalized reflection matrix $P$ if $A=PAP$ ($A=-PAP$)‎. ‎In this paper‎, ‎we introduce two iterative methods for solving the pair of matrix equations $AXB=C$ and $DXE=F$ over reflexiv...

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. ...