In this paper we continue a classical work of Schützenberger on codes with bounded synchronization delay. He was interested to characterize those regular languages where the groups in the syntactic monoid belong to a variety H. He allowed operations on the language side which are union, intersection, concatenation and modified Kleene-star involving a mapping of a prefix code of bounded synchron...

We study edge-decompositions of highly connected graphs into copies of a given tree. In particular we attack the following conjecture by Barát and Thomassen: for each tree T , there exists a natural number kT such that if G is a kT -edge-connected graph, and |E(T )| divides |E(G)|, then E(G) has a decomposition into copies of T . As one of our main results it is sufficient to prove the conjectu...

in this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. this paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (st) decomposition. by this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix s and a fuzzy triangular matrix t.

We study the effect of rotation on the excitation of internal oscillation modes of a star by the external gravitational potential of its companion. Unlike the nonrotating case, there are difficulties with the usual mode decomposition for rotating stars because of the asymmetry between modes propagating in the direction of rotation and those propagating opposite to it. For an eccentric binary sy...

in this paper, a boussinesq equation is solved by using the adomian's decomposition method, modified adomian's decomposition method and homotopy analysis method. the approximate solution of this equation is calculated in the form of series which its components are computed by applying a recursive relation. the existence and uniqueness of the solution and the convergence of the propose...

Simultaneous transmission and reflection-reconfigurable intelligent surface (STAR-RIS) can provide expanded coverage compared with the conventional reflection-only RIS. This paper exploits energy efficient potential of STAR-RIS in a multiple-input multiple-output (MIMO) enabled non-orthogonal multiple access (NOMA) system. Specifically, we mainly focus on energy-efficient resource allocation MI...

Disc-halo decomposition on rotationally supported star-forming galaxies (SFGs) at $z>1$ are often limited to massive ($M_\star>10^{10}~M_\odot$) and rely either deep Integral Field Spectroscopy data or stacking analyses. We present a study of the dark matter (DM) content nine $z\approx1$ SFGs selected Using brightest [OII] emitters in deepest Multi-Unit Spectrograph Explorer (MUSE) field date, ...

reduced differental transform method (rdtm), which isone of the useful and effective numerical method, is applied to solve nonlinear time-dependent foam drainage equation (fde) with different initial conditions. we compare our method with the famous adomian decomposition and laplace decomposition methods. the obtained resultsdemonstrated that rdtm is a powerful tool for solving nonlinear par...

We constrain the mass distribution in nearby, star-forming galaxies with Star Formation Reference Survey (SFRS), a galaxy sample constructed to be representative of all known combinations star formation rate (SFR), dust temperature, and specific (sSFR) that exist Local Universe. An innovative two-dimensional bulge/disk decomposition 2MASS/$K_{s}$-band images SFRS yields global luminosity stella...