It is pointed out that the phase convention of the CKM matrix V aaects texture analysis of the quark mass matrices (M u ; M d) when we try to describe (M u ; M d) by the observable quantities (quark masses and CKM matrix parameters) only. This is demonstrated for a case of the non-Hermitian Fritzsch-type mass matrix (f M u ; f M d), which is a general expression of quark mass matrix (M u ; M d)...

Abstract. Considering a question of E. R. Berlekamp, Carlitz, Roselle, and Scoville gave a combinatorial interpretation of the entries of certain matrices of determinant 1 in terms of lattice paths. Here we generalize this result by refining the matrix entries to be multivariate polynomials, and by determining not only the determinant but also the Smith normal form of these matrices. A priori t...

We have identified an easily attainable source of primitive, potentially multipotent stem cells from Wharton's jelly, the matrix of umbilical cord. Wharton's jelly cells have been propagated in culture for more than 80 population doublings. Several markers for stem cells, including c-kit (CD117), and telomerase activity are expressed in these cells. Treatment with basic fibroblast growth factor...

A probabilistic algorithm is presented to find the determinant of a nonsingular, integer matrix. For a matrix A n n the algorithm requires O n3 5 logn 4 5 bit operations (assuming for now that entries in A have constant size) using standard matrix and integer arithmetic. Using asymptotically fast matrix arithmetic, a variant is described which requires O n2 2 log2 n loglogn bit operations, wher...

There now exist two different formalisms for the high-n form of the radiationdamped S-matrix. These two formalisms give nearly identical results for all physical systems and either may be used in calculations. However, there is some uncertainty as to which is the more exact form. It is shown that Bell and Seaton made four approximations that prevented them from deriving the correct form due to ...

In the theory of disordered systems the spectral form factor S(τ), the Fourier transform of the two-level correlation function with respect to the difference of energies, is linear for τ < τc and constant for τ > τc. Near zero and near τc its exhibits oscillations which have been discussed in several recent papers. In the problems of mesoscopic fluctuations and quantum chaos a comparison is oft...

We present a new algorithm to compute the Integer Smith normal form of large sparse matrices. We reduce the computation of the Smith form to independent, and therefore parallel, computations modulo powers of word-size primes. Consequently, the algorithm does not suffer from coefficient growth. We have implemented several variants of this algorithm (Elimination and/or Black-Box techniques) since...

An orthogonal similarity reduction of a matrix to semiseparable form. Abstract It is well known how any symmetric matrix can be reduced by an orthogonal similarity transformation into tridiagonal form. Once the tridiagonal matrix has been computed, several algorithms can be used to compute either the whole spectrum or part of it. In this paper, we propose an algorithm to reduce any symmetric ma...