Let T be a tree on n vertices and L(T ) be its Laplacian matrix. The eigenvalues and eigenvectors of T are respectively referred to those of L(T ). With respect to a given eigenvector Y of T , a vertex u of T is called a characteristic vertex if Y [u] = 0 and there is a vertex w adjacent to u with Y [w] 6= 0; an edge e = (u, w) of T is called a characteristic edge if Y [u]Y [w] < 0. C(T, Y ) de...

Let T be a tree on n vertices and L(T ) be its Laplacian matrix. The eigenvalues and eigenvectors of T are respectively referred to those of L(T ). With respect to a given eigenvector Y of T , a vertex u of T is called a characteristic vertex if Y [u] = 0 and there is a vertex w adjacent to u with Y [w] 6= 0; an edge e = (u, w) of T is called a characteristic edge if Y [u]Y [w] < 0. C(T, Y ) de...

abstract         background and objective: hirudin is an anticoagulant polypeptide secreted from the salivary glands of leeches. recombinant hirudin is a strong anticoagulant agent in arterial and venous thrombosis. the aim of this study was to evaluate the effect of inserting protein a signal peptide sequence of pezz18 plasmid on expression and secretion of the recombinant hirudin in e.coli.  ...

Aurora Kinase A is a cancer-associated protein normally involved in the regulation of mitosis. Being over-expressed in a range of cancers, it is a suitable target for cell-based immunotherapy. Gene transfer of T-cell receptor sequences cognisant of HLA-A*0201-restricted Aurora Kinase A antigen has previously been shown to transfer specific immunoreactivity against the target peptide in a Human ...

We have studied in perturbative QCD all independent helicity amplitudes describing the photoproduction of light vector mesons at large t. We found a new hard production mechanism which is related to the possibility for a real photon to fluctuate into a massless q ¯ q pair in a chiral-odd spin configuration. Each helicity amplitude is given as a sum of chiral-even contribution (when the heliciti...

Various results and techniques, such as the Bohl-Perron theorem, a priori estimates of solutions, M-matrices matrix measure, are applied to obtain new explicit exponential stability conditions for system vector functional differential equationsx˙i(t)=Ai(t)xi(hi(t))+∑j=1n∑k=1mijBijk(t)xj(hijk(t))+∑j=1n∫gij(t)tKij(t,s)xj(s)ds,i=1,…,n. Here xi unknown vector-functions, Ai,Bijk,Kij functions, hi,hi...

We have studied in perturbative QCD all independent helicity amplitudes describing the photoproduction of light vector mesons at large t. We found a new hard production mechanism which is related to the possibility for a real photon to fluctuate into a massless q ¯ q pair in a chiral-odd spin configuration. Each helicity amplitude is given as a sum of a usual chiral-even contribution (when the ...

Consider a vector autoregressive (VAR) model of order d: xt = A1xt−1 + . . .+Adxt−d + t, t = 0,±1,±2, . . . , (1) where xt ∈ R is a random vector, Ai ∈ Rp×p, i = 1, . . . , d are fixed coefficient matrices and t is a vector of zero-mean white noise, i.e., E( t) = 0, E( t t ) = Σ and E( t T t+h) = 0, for h 6= 0. We assume that the noise covariance matrix Σ is positive definite with bounded large...

Let r; n be xed natural numbers. We prove that for n-manifolds the set of all linear natural operators T ! T T (r) is a nitely dimensional vector space over R. We construct explicitly the bases of the vector spaces. As a corollary we nd all linear natural operators T ! T r. All manifolds and maps are assumed to be innnitely diierentiable. 0. Let r; n be xed natural numbers. Given a manifold M w...

This important result is listed in the theorem on the next page. Note that the derivative of the vector-valued function is itself a vector-valued function. You can see from Figure 12.8 that is a vector tangent to the curve given by and pointing in the direction of increasing values. tr t r t r f t i g t j lim t→0 f t t f t t i lim t→0 g t t g t t j lim t→0 f t t f t t i g t t g t t j lim t→0 f ...