Every permutation group which is not 2-transitive acts on a nontrivial coherent configuration, but the question of which permutation groups G act on nontrivial association schemes (symmetric coherent configurations) is considerably more subtle. A closely related question is: when is there a unique minimal G-invariant association scheme? We examine these questions, and relate them to more famili...

Recently in [1], the authors have given a method for calculation of the effective resistance (resistance distance) on distance-regular networks, where the calculation was based on stratification introduced in [2] and Stieltjes transform of the spectral distribution (Stieltjes function) associated with the network. Also, in Ref. [1] it has been shown that the resistance distances between a node ...

this paper analyzes a linear system of equations when the righthandside is a fuzzy vector and the coefficient matrix is a crisp m-matrix. thefuzzy linear system (fls) is converted to the equivalent crisp system withcoefficient matrix of dimension 2n × 2n. however, solving this crisp system isdifficult for large n because of dimensionality problems . it is shown that thisdifficulty may be avoide...

begin{abstract} the relations between the spectrum of the matrix $q+r$ and the spectra of the matrices $(gamma + delta)q+(alpha + beta)r-qr-rq$, $qr-rq$, $alpha beta r-qrq$, $alpha rqr-(qr)^{2}$, and $beta r-qr$ have been given on condition that the matrix $q+r$ is diagonalizable, where $q$, $r$ are ${alpha, beta}$-quadratic matrix and ${gamma, delta}$-quadratic matrix, respectively, of order $...

in this paper, we derive the necessary and sufficient conditions for the quaternion matrix equation xa=b to have the least-square bisymmetric solution and give the expression of such solution when the solvability conditions are met. futhermore, we consider the maximal and minimal inertias of the least-square bisymmetric solution to this equation. as applications, we derive sufficient and necess...

results migration of cells started on the fifth day. as a result of this migration, most cells were located on the surface of the scaffold and formed epiderm-like structure and some penetrated into the scaffold. by day 25, cells which had penetrated into the scaffold had various destinies such as becoming elongated spindle-shaped cells and creating blood vessel-like structures. conclusions adm ...

 We investigate the existence of some‎ ‎large sets of size nine‎. ‎The large set $LS[9](2,5,29)$ is constructed and‎ ‎existence of the family $LS[9](2,5,27l+j)$ for $lgeq 1, ‎2leq‎ ‎j

We describe a timetable of events during programmed cell death (PCD) in neuronal PC12 cells, specifically, Ras signaling, immediate-early gene (IEG) expression, DNA fragmentation and commitment to PCD. Commitment occurs over a period from 10-20 hr after NGF withdrawal. Ras signaling declines rapidly after NGF removal, reaching minimal levels within 2-4 hr, well before the onset of commitment. D...

this paper presents a rational haar wavelet operational method for solving the inverse laplace transform problemand improves inherent errors from irrational haar wavelet. the approach is thus straightforward, rather simple andsuitable for computer programming. we define that $p$ is the operational matrix for integration of the orthogonalhaar wavelet. simultaneously, simplify the formulaes of li...