‎Let G=(V(G),E(G)) be a simple connected graph with vertex set V(G) and edge‎ ‎set E(G)‎. ‎The (first) edge-hyper Wiener index of the graph G is defined as‎: ‎$$WW_{e}(G)=sum_{{f,g}subseteq E(G)}(d_{e}(f,g|G)+d_{e}^{2}(f,g|G))=frac{1}{2}sum_{fin E(G)}(d_{e}(f|G)+d^{2}_{e}(f|G)),$$‎ ‎where de(f,g|G) denotes the distance between the edges f=xy and g=uv in E(G) and de(f|G)=∑g€(G)de(f,g|G). ‎In thi...

Hypertexture is a powerful and exible procedural modeling tool that is currently limited only by an ine cient rendering mechanism. We analyze the terms of hypertexture functions to obtain an importance measure, capitalize on spatial and image coherence when possible. These enhancements make a guaranteed algorithm for ray-tracing implicit surfaces signi cantly more e cient for rendering hypertex...

Hybrid number system is a generalization of complex, hyperbolic and dual numbers. numbers hybrid polynomials have been the subject much research in recent years. In this paper, hybrinomials related to hyper-Fibonacci hyper-Lucas are defined. Then some algebraic properties newly defined examined such as recurrence relations summation formulas. Also, relation between given. Additionally, by using

this paper provides a review on major ergodic features of semi-independent hyper mv {algebra dynamical systems. theorems are presentedto make contribution to calculate the entropy. particularly, it is proved that thetotal entropy of those semi-independent hyper mv {algebra dynamical systemsthat have a generator can be calculated with respect to their generator ratherthan considering all the par...

the hyperimmunoglobulin e  syndrome is a rare complex primary immunodeficiency characterized by high serum ige levels, eczema, and recurrent infections. we present a case of 2-years-old girl with eczema and repeated bacterial skin and lung infections since the period of infancy. the patient also had eosinophilia, high serum levels of ige, and cows-milk hypersensitivity. we describe the case, in...

let g be a simple connected graph. the first and second zagreb indices have been introducedas  vv(g)(v)2 m1(g) degg and m2(g)  uve(g)degg(u)degg(v) , respectively,where degg v(degg u) is the degree of vertex v (u) . in this paper, we define a newdistance-based named hyperzagreb as e uv e(g) .(v))2 hm(g)     (degg(u)  degg inthis paper, the hyperzagreb index of the cartesian product...

An improved M.I.T. bag model with hyper central interaction is used to calculate the charge radius for proton containing u and d quarks. We present a theoretical approach to the internal structure of three-body hyper central interacting quarks in a proton, in which we take proton as a bag. We discuss a few of results obtained using a six-dimension potential, which is attractive for small separa...