The linear programmimg formulations of graph domination and graph packing are duals. Likewise, fractional efficient domination for a graph G has as its dual the parameter discussed in this paper, namely the minimum weight of a real-valued function f : V(G) -+ [0, (0) such that the sum of the weights in each closed neighborhood is at least its cardinality. The fractional and integer "closed neig...

Let f : X 99K X be a dominant meromorphic self-map, where X is a compact, connected complex manifold of dimension n > 1. Suppose there is an embedded copy of P that is invariant under f , with f holomorphic and transversally superattracting with degree a in some neighborhood. Suppose f restricted to this line is given by z 7→ z, with resulting invariant circle S. We prove that if a ≥ b, then th...

Yes we can! is a community-building initiative funded by the W. K. Kellogg Foundation that aims to improve educational and economic outcomes in Battle Creek, Michigan by mobilizing low-income communities and resident leaders and building their capacity to influence the decisions and policies that impact their lives. This paper describes the strategies pursued during the first phase of this init...

Let S be a ruled surface inside a smooth 3-fold W. Choose a neighborhood V of S in W and let Ŝ be the formal completion of S in V. Let E be a vector bundle over Ŝ. We show that (under suitable conditions) the local deformation space of E is finite dimensional and smooth. Moreover, we show that E is a flat limit of a flat family of vector bundles whose general element we describe explicitly.

We prove that given any n-pointed prestable curve C of genus g with linearly reductive automorphism group Aut(C), there exists an Aut(C)equivariant miniversal deformation of C over an affine variety W . In other words, we prove that the algebraic stack Mg,n parametrizing n-pointed prestable curves of genus g has an étale neighborhood of [C] isomorphic to the quotient stack [W/Aut(C)].

Let S be a ruled surface inside a smooth 3-fold W. Choose a neighborhood V of S in W and let Ŝ be the formal completion of S in V. Let E be a vector bundle over Ŝ. We show that (under suitable conditions) the local deformation space of E is finite dimensional and smooth. Moreover, we show that E is a flat limit of a flat family of vector bundles whose general element we describe explicitly.

This article contributes to the knowledge base of neighborhood intervention and research by reviewing the myriad ways the construct neighborhood is operationalized. The interdisciplinary review presents a critical examination of each measurement genre from quantitative to qualitative. The discussion of neighborhood measures includes (a) census and other administrative data, (b) windshield surve...

abstract quality of life is a many-sided and complex concept and includes not only physical aspects of life. measuring and discovering this concept depends on many factors such as cultural, social, economical and even environmental. in this research, the connection between women’s quality of life and their access to public utilities and municipal services, health level and safety level of neigh...

It is shown that, for solid caps D of heat balls in Rd+1 with center z0 = (0, 0), there exist Borel measurable functions w on D such that inf w(D) > 0 and ∫ v(z)w(z) dz ≤ v(z0), for every supertemperature v on a neighborhood of D. This disproves a conjecture by N. Suzuki and N.A. Watson. On the other hand, it turns out that there is no such volume mean density, if the bounded domain D in Rd × (...