background and aims. lichen planus (lp) is a relatively common, chronic dermato-mucosal disease that often affects the oral mucosa. among bacterial infections affecting lp, helicobacter pylori has recently been proposed as an important etiologic factor. the present study was designed to evaluate the association of lp and h. pylori infection. materials and methods. this study included 30 patient...

We study the near-flat space limit for strings on AdS5 × M5, where the internal manifold M5 is equipped with a generic metric with U(1)3 isometry. In the bosonic sector, the limiting sigma model is similar to the one found for AdS5 × S5, as the global symmetries are reduced in the most general case. When M5 is a SasakiEinstein space like T 1,1, Y p,q and Lp,q,r, whose dual CFT’s have N = 1 supe...

Ranking of intuitionsitic fuzzy number plays a vital role in decision making and other intuitionistic fuzzy applications. In this paper, we propose a new ranking method of intuitionistic fuzzy number based on distance measure. We first define a distance measure for interval numbers based on Lp metric and further generalize the idea for intuitionistic fuzzy number by forming interval with their ...

We extend the Lp theory of sparse graph limits, which was introduced in a companion paper, by analyzing different notions of convergence. Under suitable restrictions on node weights, we prove the equivalence of metric convergence, quotient convergence, microcanonical ground state energy convergence, microcanonical free energy convergence, and large deviation convergence. Our theorems extend the...

We propose adaptive multiscale refinement algorithms for approximating and encoding curves by polygonal curves. We establish rates of approximation of these algorithms in the Hausdorff metric. For example, we show that under the mere assumption that the original curve has finite length then the first of these algorithms gives a rate of convergence O(1/n) where n is the number of vertices of the...

We look at the Lp bounds on eigenfunctions for polygonal domains (or more generally Euclidean surfaces with conic singularities) by analysis of the wave operator on the flat Euclidean cone C(Sρ) def = R+ × ( R / 2πρZ ) of radius ρ > 0 equipped with the metric h(r, θ) = dr2 + r2 dθ2. Using explicit oscillatory integrals and relying on the fundamental solution to the wave equation in geometric re...

We show that many uniformly convex bodies have Gaussian marginals in most directions in a strong sense, which takes into account the tails of the distributions. These include uniformly convex bodies with power type 2, and power type p > 2 with some additional type condition. In particular, all unit-balls of subspaces of Lp for 1 < p < ∞ have Gaussian marginals in this strong sense. Using the we...