— Let φ be a substitution of Pisot type on the alphabet A = {1, 2, . . . , d}; φ satisfies the strong coincidence condition if for every i, j ∈ A, there are integers k, n such that φn(i) and φn(j) have the same k-th letter, and the prefixes of length k − 1 of φn(i) and φn(j) have the same image under the abelianization map. We prove that the strong coincidence condition is satisfied if d = 2 an...

— Let φ be a substitution of Pisot type on the alphabet A = {1, 2, . . . , d}; φ satisfies the strong coincidence condition if for every i, j ∈ A, there are integers k, n such that φn(i) and φn(j) have the same k-th letter, and the prefixes of length k − 1 of φn(i) and φn(j) have the same image under the abelianization map. We prove that the strong coincidence condition is satisfied if d = 2 an...

Boundary states for D-branes are constructed using the light cone gauge. The D-brane breaks half the spacetime supersymmetry giving rise to fermionic zero modes living on the brane. The nonlinear realization of the broken supersymmetry on the open string degrees of freedom is analysed and the influence of boundary terms coming from closed string vertex operators is discussed. 1 Boundary states ...

TO VERIFY THAT THE STATEMENT IN LEMMA 2.1 is indeed equivalent to the usual definition of pairwise stability, notice that if μ is not pairwise stable, there exists a pair i j = μw(i) such that Uij > Uiμw(i) and Vji > Vjμm(j). In particular, j is available to i under μ, that is, j ∈Mi[μ], so that U∗ i (Mi[μ]) ≥ Uij > Uiμw(i), which violates the first part of the condition. Conversely, if the con...

Soil salinity poses considerable and increasing problems for agriculture, and is receiving much attention from plant breeders. The identification of genes whose expression enables plants to adapt to and/or tolerate salt stress is essential for breeding programs, but little is known about the genetic mechanisms of traits in saline conditions. The data obtained from 75 families produced by crossi...

Let $R$ be a unitary ring with an endomorphism $σ$ and $F∪{0}$ be the free monoid generated by $U={u_1,…,u_t}$ with $0$ added, and $M$ be a factor of $F$ setting certain monomial in $U$ to $0$, enough so that, for some natural number $n$, $M^n=0$. In this paper, we give a sufficient condition for a ring $R$ such that the skew monoid ring $R*M$ is quasi-Armendariz (By Hirano a ring $R$ is called...

In this Letter, a new sufficient condition is proposed for master–slave synchronization of Lur’e system with time delay. This condition is constructed on the new integral inequality method such that the obtained result is much sharper than that in [M.E.Y. Yalcin, J.A.K. Suykens, J. Vandewalle, Int. J. Bifur. Chaos 11 (2001) 1707]. © 2006 Elsevier B.V. All rights reserved.

the aim of this paper is to prove a common fixed point theorem for nonexpansive type single valued mappings which include both continuous and discontinuous mappings by relaxing the condition of continuity by weak reciprocally continuous mapping. our result is generalize and extends the corresponding result of jhade et al. [p.k. jhade, a.s. saluja and r. kushwah, coincidence and fixed points of ...

In the present paper the Dirichlet problem for semilinear elliptic and parabolic equations in general form is considered. New condition guaranteeing the global solvability of this problem for a wide class of superlinear sources, including e u and |u|p−1u , p > 1 , is formulated. For sublinear case (for example ln(1+ |u|) or |u|p−1u , p < 1) this condition is automatically fulfilled. Our approac...

structural health monitoring of cracked structures is one of beloved subject of researchers recently. consider of crack behavior in the water and energy pipeline is important because of environmental problems. in this paper consider of crack parameters in the underwater pipe subjected to mechanical transient load is investigated. for this purpose, three- dimensional parametric model of cracked ...