Communicated by David Blackwell, November 3, 1969 1. Statement of results. Let (Y, «, t^O) be a real, separable Gaussian process with stationary increments, mean 0, and F0 = 0. Let 2Q(t) be the variance of Yt and define Xt = Yt/(2Q(t)yi\ THEOREM 1. Suppose there exists a nonnegative function v(t) such that Q(s + t) Q(s) (*) lim = 1 uniformly in s t~*oo v(s + 0 "~ () and there exist positive con...

The second-order magneto-optical effects, represented by Voigt and Sch\"afer-Hubert are effective methods to detect the spin textures in antiferromagnets, whereas previous studies usually limited collinear antiferromagnets. In noncollinear characterized chirality have been revealed play a critical role many exciting physics. particular, first-order topological effects originated from scalar dis...

We prove that if p = 2q+1 is a prime, then the maximum of a Littlewood cosine polynomial Tq(t) = q

A power digraph, denoted by $G(n,k)$, is a directed graph with $Z_{n}={0,1,..., n-1}$ as the set of vertices and $L={(x,y):x^{k}equiv y~(bmod , n)}$ as the edge set, where $n$ and $k$ are any positive integers. In this paper, the structure of $G(2q+1,k)$, where $q$ is a Sophie Germain prime is investigated. The primality tests for the integers of the form $n=2q+1$ are established in terms of th...

Let G(V,E) be a graph with p vertices and q edges. A graph G is said to have an odd mean labeling if there exists a function f : V (G) → {0, 1, 2,...,2q - 1} satisfying f is 1 - 1 and the induced map f* : E(G) → {1, 3, 5,...,2q - 1} defined by f*(uv) = (f(u) + f(v))/2 if f(u) + f(v) is evenf*(uv) = (f(u) + f(v) + 1)/2 if f(u) + f(v) is odd is a bijection. A graph that admits an odd mean labelin...

how to cite this article: mozafari h, taghikhani m, khatami sh, alaei mr, vaisi-raygani a, rahimi z. chitotriosidase activity and gene polymorphism in iranian patients with gaucher disease and sibling carriers. iran j child neurol. autumn 2016; 10(4):62-70. abstract objective chitotriosidase (ct) activity is a useful biomarker for diagnosis and monitoring of gaucher disease (gd). its applicatio...

Reciprocal translocations involving duplications of different regions of chromosomes of group C have been reported in patients with multiple congenital malformations. Some of these cases died at 2 or 3 months of age (de Grouchy et al., 1967a, b; Gray et al., 1966). Others were discovered at ages ranging from 12 months to 12 years (Edwards et al., 1962; Rohde and Catz, 1964; de Grouchy and Canet...