This project seeks to understand the relationship between neighborhood quality and birth weight in Central Durham, NC. Previous studies have shown that neighborhood context influences birth outcomes, even after adjusting for individual maternal characteristics and behaviors. Yet the traditional measures of neighborhood quality rely primarily on US Census socioeconomic demographic data that only...

We provide a probabilistic analysis of the second order term that arises in path-following algorithms for linear programming. We use this result to show that two such methods, algorithms generating a sequence of points in a neighborhood of the central path and in its relaxation , require a worst-case number of iterations that is O(nL) and an anticipated number of iterations that is O(log(n)L). ...

Primal-dual Interior-Point Methods (IPMs) have shown their ability in solving large classes of optimization problems efficiently. Feasible IPMs require a strictly feasible starting point to generate the iterates that converge to an optimal solution. The self-dual embedding model provides an elegant solution to this problem with the cost of slightly increasing the size of the problem. On the oth...

This exploratory study draws on qualitative interviews to investigate respondents’ perspectives about gentrification in their Chicago neighborhood. Prior research has demonstrated that place-based networks are crucial for the well-being of low-income and immigrant urban residents. A parallel though a previously disparate thread discusses negative impacts long-term I find residents underscore co...

following the idea of $l$-fuzzy neighborhood system as introduced byfu-gui shi, and its generalization to $(l,m)$-fuzzy neighborhood system, the relationship between  $(l,m)$-fuzzy topology and $(l,m)$-fuzzy neighborhood system will be further studied. as an application of the obtained results, we will describe the initial structures of $(l,m)$-fuzzy neighborhood subspaces and $(l,m)$-fuzzy top...