Cauchy–Euler differential equations surfaced naturally in a number of sorting and searching problems, notably in quicksort and binary search trees and their variations. Asymptotics of coefficients of functions satisfying such equations has been studied for several special cases in the literature. We study in this paper a very general framework for Cauchy–Euler equations and propose an asymptoti...

Data Warehouses (DW) and OnLine Analytical Processing (OLAP) tools are used in Business Intelligence (BI) applications in order to support decision-making processes. DWs are a specific type of database used to integrate, accumulate and analyze data from various sources. OLAP tools provide means to query and to analyze the warehoused information and produce online statistical summaries (indicato...

This paper concerns the construction of a class of scalar valued analytic maps on analytic manifolds with boundary. These maps, which we term navigation functions, are constructed on an arbitrary sphere world—a compact connected subset of Euclidean n-space whose boundary is formed from the disjoint union of a finite number of (n − l)-spheres. We show that this class is invariant under compositi...

Obesity has become a major health problem in many parts of the world. Estrogens are known to reduce adipose tissue mass in both humans and animals but the molecular mechanisms are not well characterized. We used gene expression profiling to study long-term effects of estrogen on gene expression in mouse white adipose tissue and hypothalamus. Overall, the effects of estrogen on hypothalamic gene...

BACKGROUND Recently, several transcription factors were found to possess large-scale chromatin unfolding activity; these include the VP16 acidic activation domain, BRCA1, E2F1, p53, and the glucocorticoid and estrogen steroid receptors. In these studies, proteins were fluorescently labeled and targeted to a multimerized array of DNA sequences in mammalian cultured cells, and changes in the appe...

A well-known result on unions of polyhedra in the same space gives an extended formulation whose projection is the convex hull of the union. Here in contrast we study the unions of polytopes in different spaces, giving a complete description of the convex hull without additional variables. When the underlying polytopes are monotone, the facets are described explicitly, generalizing results of H...

Objectives: To report the success of treatment with lowmolecular-weight heparins (LMWHs) in a case of nephrotic syndrome complicated by mesenteric vein thrombosis (MVT) and portal vein thrombosis (PVT). Clinical Presentation and Intervention: A 53-year-old man with nephrotic syndrome developed persistent mild abdominal pain for 3 days. Hepatic-portal venous system thrombosis of nephrotic syndro...

Given a graph G, its clique hypergraph C(G) has the same set of vertices as G and the hyperedges correspond to the (inclusionwise) maximal cliques of G. We consider the question of bicolorability of C(G), i.e., whether the vertices of G can be colored with two colors so that no maximal clique is monochromatic. Our two main results say that deciding the bicolorability of C(G) is NP-hard for perf...

A new regenerator matrix design that improves the efficiency of a Stirling engine has been developed in a numerical study of the existing SM5 Stirling engine. A new, detailed, one-dimensional Stirling engine model that delivers results in good agreement with experimental data was used for mapping the performance of the engine, for mapping the effects of regenerator matrix temperature oscillatio...

0196-8904/$ see front matter 2010 Elsevier Ltd. A doi:10.1016/j.enconman.2010.02.006 * Corresponding author. Tel.: +86 02787543127. E-mail address: [email protected] (J. Zhou). The short-term hydrothermal generation scheduling (SHGS) is a complicated nonlinear optimization problem with a set of operational and hydraulic constraints. A new approach is presented in this paper for solving the sh...