We present several schemes for Obstacle Detection for autonomous vehicles traveling at high speeds (above 5m/s). In particular, we discuss schemes that make a globally“flat-world” assumption and ignore vehicle pitch motion. Next, we examine methods that relax the above assumptions. In each case we discuss the strengths and weakness of the solutions proposed. Experimental and simulation results ...

Let m be a positive integer. Then we show that the exponential Diophantine equation (12m2 + 1)x + (13m2 − 1)y = (5m)z has only the positive integer solution (x, y, z) = (1, 1, 2) under some conditions. The proof is based on elementary methods and Baker’s method. Mathematics Subject Classification: 11D61

Fructose, an everyday component of western diet associated to chronic hyperglycemia and enhanced free radical production, impairs endothelial function and supplementation with antioxidants might improve it. In this study we investigated if vitamin E could reverse the microvascular damage elicited by fructose. Male Syrian golden hamsters drank either 10% fructose solution (F) or filtered water (...

A toxin that causes morphological changes in Chinese hamster ovary cells was isolated from a culture filtrate of Shigella dysenteriae 1. It was partially purified by successive column chromatography on diethylaminoethyl-cellulose, Bio-Gel A-5m, and hydroxylapatite. The toxin was separated from neurotoxin by diethylaminoethyl-cellulose column chromatography and was not lethal for mice.

Recently, asymptotic values of 2-color Ramsey numbers for loose cycles and also loose paths were determined. Here we determine the 2-color Ramsey number of 3-uniform loose paths when one of the paths is significantly larger than the other: for every n > ⌊ 5m 4 ⌋ , we show that R(P n,P m) = 2n + ⌊m + 1 2 ⌋ .

Endocrinopathic laminitis (EL) is a vascular condition of the equine hoof resulting in severe lameness with both welfare and economic implications. EL occurs in association with equine metabolic syndrome and equine Cushing's disease. Vascular dysfunction, most commonly due to endothelial dysfunction, is associated with cardiovascular risk in people with metabolic syndrome and Cushing's syndrome...