We present an algebraic Bethe ansatz for certain submanifolds of the bilayer vertex models proposed by Shiroishi and Wadati as coupled asymmetric six-vertex free-fermion models. A peculiar feature of our formulation is the presence of a diagonal monodromy matrix element that does not generate unwanted terms. The model contains two free-parameters entering into the Bethe ansatz equations as a pu...

In this article, we present inverse and implicit function theorems forH -differentiable functions and semismooth functions, thereby generalizing the classical inverse and implicit function theorems to certain classes of nonsmooth functions. The classical inverse function theorem [47] asserts that a continuously differentiable function f : R → R is locally invertible at a point with a continuous...

We present a new combinatorial algorithm for triangle finding and Boolean matrix multiplication that runs in Ô(n/ log n) time, where the Ô notation suppresses poly(loglog) factors. This improves the previous best combinatorial algorithm by Chan [4] that runs in Ô(n/ log n) time. Our algorithm generalizes the divide-and-conquer strategy of Chan’s algorithm. Moreover, we propose a general framewo...

Vesicular stomatitis virus (VSV) induces apoptosis by at least two mechanisms. The viral matrix (M) protein induces apoptosis via the mitochondrial pathway due to the inhibition of host gene expression. However, in some cell types, the inhibition of host gene expression by VSV expressing wild-type (wt) M protein delays VSV-induced apoptosis, indicating that another mechanism is involved. In sup...

Let A and B be n × m matrices. The matrix B is said to be g-row majorized (respectively g-column majorized) by A, if every row (respectively column) of B, is g-majorized by the corresponding row (respectively column) of A. In this paper all kinds of g-majorization are studied on Mn,m, and the possible structure of their linear preservers will be found. Also all linear operators T : Mn,m ---> Mn...

Neurofibromatosis type 2 (NF2), earlier known as bilateral acoustic neurofibromatosis, is an autosomal dominant disorder considered by the development of multiple tumours. It caused mutations in NF2 gene present at long arm chromosome number 22 (22q12.2) which encodes for merlin protein (tumour suppressor gene), found schwann cells involved interaction cell with extracellular matrix after bindi...

background: matrix metalloproteinases comprise a family of enzyme degrade components of extra cellular matrix. there are single nucleotide polymorphisms in the promoter regions of several genes with ability to influence cancer susceptibility. the aim of this study was to analyze association between mmp 3 promoter polymorphisms and colorectal cancer occurrence and progression. materials and meth...

The nucleotide sequences of the nucleocapsid protein (NP) gene, the intergenic regions in the nucleocapsid protein (NP)-phosphoprotein (P), P-matrix protein (M) and M-fusion glycoprotein gene junctions and the trailer region of a virulent Newcastle disease virus (NDV) strain Beaudette C were determined. The NP gene is 1747 nt long and encodes a protein of 489 amino acids. Each of the intergenic...

five common tetracycline resistance genes tet(a), tet(b), tet(m), tet(o) and tet(s) were studied by polymerase chain reaction in 100 bacteria isolated from iranian fish farms. in the antibiogram test most of the bacteria were either intermediately or completely resistant to tetracycline. nine isolates out of 46 aeromonas spp. contained either tet(a/m/s) resistant genes as follows: tet(a) in a. ...