We prove common fixed point theorems in symmetric spaces for two pairs of hybrid mappings using the concept of T−weakly and S−weakly commuting mappings satisfying generalized contractive conditions which generalize theorems of Aamri and El Moutawakil [J. Math. Anal. Appl., 270 (2002), 181–188.], Aamri and El Moutawakil [Appl. Math. E-notes., 3 (2003), 156–162.] and Aliouche [J. Math. Anal. Appl...

For J/ψ, ψ′, and τ masses measurement with the KEDR detector, the VEPP-4M collider is planned to operate at 1200–2000 MeV beam energies. Electron beam energy calibration with backscattered laser photons, performed at BESSY I storage ring [1], has shown the accuracy compatible with that obtained by resonant spin depolarization technique. We propose the non-head-on configuration of electron-laser...

Let C1 and C2 be codes with code distance d. Codes C1 and C2 are called weakly isometric, if there exists a mapping J : C1 → C2, such that for any x, y from C1 the equality d(x, y) = d holds if and only if d(J(x), J(y)) = d. Obviously two codes are weakly isometric if and only if the minimal distance graphs of these codes are isomorphic. In this paper we prove that Preparata code of length n ≥ ...

In this paper, we introduce and study graded weakly 1-absorbing prime ideals in commutative rings. Let \(G\) be a group \(R\) \(G\)-graded ring with nonzero identity \(1\neq0\). A proper ideal \(P\) of is called if for each nonunits \(x,y,z\in h(R)\) \(0\neq xyz\in P\), then either \(xy\in P\) or \(z\in P\). We give many properties characterizations ideals. Moreover, investigate under homomorph...

Abstract. Let L and M be two finite lattices. The ideal J(L,M) is a monomial ideal in a specific polynomial ring and whose minimal monomial generators correspond to lattice homomorphisms ϕ: L→M. This ideal is called the ideal of lattice homomorphism. In this paper, we study J(L,M) in the case that L is the product of two lattices L_1 and L_2 and M is the chain [2]. We first characterize the set...

Using a realistic model of a quantum dot embedded in an Aharonov-Bohm ring with several current-carrying channels, we demonstrate phase persistence in the Fano and Aharonov-Bohm effects as has been observed in experiments. The phase persistence arises because most of states contributing to the Coulomb oscillation of the conductance are weakly coupled to ring states through a small number of sta...

The second harmonic of the 842-nm output of a GaAlAs diode laser is generated in a KNbO(3) crystal in a resonant, external ring cavity. The diode laser is optically stabilized to the ring cavity through feedback from the counterpropagating fundamental wave, which is weakly excited in the resonator. We have produced 6.7 mW of tunable, narrowband radiation at 421 nm and have used that light to pe...

Weakly electric "sh use phase and amplitude modulations of their electric organ discharge to communicate and to capture prey (electrolocation). P-type electroreceptors, also known as probability coders, on their skin can detect extremely weak signals. We analyse baseline "ring characteristics of these receptors from experimental data, and present mathematical models for the "ring activity of bo...

We investigate the relationship between differential graded algebras (dgas) and topological ring spectra. Every dga C gives rise to an Eilenberg-MacLane ring spectrum denoted HC. If HC and HD are weakly equivalent, then we say C and D are topologically equivalent. Quasiisomorphic dgas are topologically equivalent, but we produce explicit counterexamples of the converse. We also develop an assoc...

The main purpose of this article is to offer some characterizations of $delta$-double derivations on rings and algebras. To reach this goal, we prove the following theorem:Let $n > 1$ be an integer and let $mathcal{R}$ be an $n!$-torsion free ring with the identity element $1$. Suppose that there exist two additive mappings $d,delta:Rto R$ such that $$d(x^n) =Sigma^n_{j=1} x^{n-j}d(x)x^{j-1}+Si...