Let Δ be an n-dimensional simplex in Euclidean space E contained in an n-dimensional closed ball B. The following question is considered. Given any point x ∈ Δ, does there exist a reflection r : E → E in one of the facets of Δ such that r(x) ∈ B? Mathematics Subject Classification (2000). 51M04, 51M16, 51B11.

Microarrays are a powerful tool for studying differential gene expression. However, lists of many differentially expressed genes are often generated, and unraveling meaningful biological processes from the lists can be challenging. For this reason, investigators have sought to quantify the statistical probability of compiled gene sets rather than individual genes. The gene sets typically are or...

Ebola virus (EBOV), a public health concern in Africa and a potential biological weapon, is classified as a biosafety level-4 agent because of its high mortality rate and the lack of approved vaccines and antivirals. Basic research into the mechanisms of EBOV pathogenicity and the development of effective countermeasures are restricted by the current biosafety classification of EBOVs. We theref...

Program comprehension of legacy systems is a highly knowledge intensive task. One of the goal of reverse engineering is to propose automated help to relate application domain concepts to all their implementation instances. It is generally accepted that to do so requires analyzing such documentation as identifiers or comments. However, before attempting to perform this difficult analysis, it wou...

A directed graph G is an unavoidable subgraph o f all n-tournaments or, simply n-unavoidable, if every tournament on n vertices contain san isomorphic copy o f G, i.e., for each ntournament T there exists an edge preserving injection o f the vertices o f G into the vertices o f T. The problem o f showing certain types o f graphs to be n-unavoidable has been the subject o f several papers, for e...

Left ventricular wall rupture after acute myocardial infarction (MI) is a fatal complication with the risk of sudden cardiac death. Such contained rupture presents as aneurysmal dilatation of ventricular wall on echocardiography. Pseudoaneurysm with contained rupture sealed by pericardium needs early surgical intervention. Here, the authors present similar case mimicking as pseudoaneurysm on ec...