Let E, E∗ be separable Hilbert spaces. If S is an open subset of T, then AS(L (E, E∗)) denotes the space of all functions f : D ∪ S → L (E, E∗) that are holomorphic in D, and bounded and continuous on D ∪ S. In this article we prove the following main results: 1. A theorem concerning the approximation of f ∈ AS(L (E, E∗)) by a function F that is holomorphic in a neighbourhood of D∪S and such th...

The neighbourhood polynomial G , is generating function for the number of faces of each cardinality in the neighbourhood complex of a graph. In other word $N(G,x)=sum_{Uin N(G)} x^{|U|}$, where N(G) is neighbourhood complex of a graph, whose vertices are the vertices of the graph and faces are subsets of vertices that have a common neighbour. In this paper we compute this polynomial for some na...

A topological index is a function having set of graphs as its domain and real numbers range. Here we concentrated on indices involving the number vertices, edges maximum minimum vertex degree. The aim this paper to compute lower upper bounds second Zagreb index, third Hyper Harmonic Redefined first First reformulated Forgotten square F-index, Sum-connectivity Randic Reciprocal Gourava Sombar Ni...

Neighbourhood in many Nigerian cities had been designed without proper consideration of design principles, which invariably affect the residents’ quality of life. This s‌tudy assessed the experts' and residents’ perception of design correlates of neighbourhood quality in the urban area of Ibadan. Data were obtained from both primary and secondary sources. A ques‌tionnaire survey and direct obse...

this paper describes the impact of the distance and the size of the corona ring, on the magnitude anddistribution of electrical potential across the polymer insulators. the procedure is based on finiteelement method numerical analysis and stochastic optimization algorithm of differential evolution(de). the optimal selection of corona ring has a significant impact on the control of potential and...

background: this study explored the relationship between socio-economic characteristics at the individual and neighbourhood levels, and wellbeing and lifestyle behaviours of young iranian women. methods: cluster convenience sampling was used to select 391 iranian women participated in this cross-sectional survey in shiraz, iran in 2013. a scale adapted from the british general household social ...

the neighbourhood polynomial g , is generating function for the number of faces of each cardinality in the neighbourhood complex of a graph. in other word $n(g,x)=sum_{uin n(g)} x^{|u|}$, where n(g) is neighbourhood complex of a graph, whose vertices are the vertices of the graph and faces are subsets of vertices that have a common neighbour. in this paper we compute this polynomial for some na...

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