We consider critical points of the spherical pure p-spin spin glass model with Hamiltonian HNσ=1Np−1/2∑i1,…,ip=1NJi1,…,ipσi1…σip, where σ=σ1,…,σN∈SN−1≔σ∈RN:σ2=N and Ji1,…,ip are i.i.d. standard normal variables. Using a second moment analysis, we prove that for p ≥ 32 any E > −E⋆, E⋆ is (normalized) ground state, ratio number σ HN(σ) ≤ NE its expectation asymptotically concentrate at 1. This ex...

the aim of this paper is to introduce and study a new concept of strong double δ ( a ) σ -convergence sequences with respect to an orlicz function, and some properties of the resulting sequencespaces were also examined. in addition, we define the δ ( a ) σ -statistical convergence and establish someconnections between the spaces of strong double δ ( a ) σ -convergence sequences and the space of...

For Σ a compact subset of C symmetric with respect to conjugation and f : Σ → C a continuous function, we obtain sharp conditions on f and Σ that insure that f can be approximated uniformly on Σ by polynomials with nonnegative coefficients. For X a real Banach space, K ⊆ X a closed but not necessarily normal cone with K −K = X, and A : X → X a bounded linear operator with A[K] ⊆ K, we use these...

lorentz characterized the almost convergence through the concept of uniform convergence of de lavallée-poussin mean. in this paper, we generalize the notion of almost convergence by using the concept ofinvariant mean and the generalized de la vallée-poussin mean. we determine the bounded linear operators forthe generalized σ-conservative, σ-regular and σ-coercive matrices.

Theory of Newtonian dynamical systems admitting normal shift of hypersurfaces was first developed for the case of Riemannian manifolds. Recently it was generalized for manifolds geometric equipment of which is given by some regular Lagrangian or, equivalently, by some regular Hamiltonian dynamical system. In present paper we consider further generalization of this theory for the case, when geom...

Let X 1 ,. .. , X n be independent with zero means, finite variances σ 2 1 ,. .. , σ 2 n and finite absolute third moments. Let F n be the distribution function of (X 1 + · · · + X n)/σ , where σ 2 = n i=1 σ 2 i , and that of the standard normal. The L 1-distance between F n and then satisfies

The unit or standard normal random variable U is a normally distributed variable with mean zero and variance one, i. e. U ∼ N(0, 1). Note that if x ∼ N(µ, σ 2) that x − µ σ ∼ U ∼ N(0, 1) (1) Thus to simulate a normal random variable with mean µ and variance σ 2 , we can simply transform unit normals, as x ∼ µ + σU ∼ N(µ, σ 2) (2) Consider n independent random variables x i ∼ N(µ, σ 2), then x ∼...

mangrove sediments were collected during wet and dry seasons from nine stations in khamir,laft and natural reservoir mangrove-dense areas of hormozgan province in the south of iran. σ pcbs ranged from 5.33 to 15.5 ng/g dry weight and the dominant congener was no.153. average σ ddts for khamir and laft mangroves were 16.58 ± 1.51 and 18.8 ± 9.98 ng/g dry weight. ddt was more abundant than dde an...