in this paper, using the best proximity theorems for an extensionof brosowski's theorem. we obtain other results on farthest points. finally, wedene the concept of e- farthest points. we shall prove interesting relationshipbetween the -best approximation and the e-farthest points in normed linearspaces (x; ||.||). if z in w is a e-farthest point from an x in x, then z is also a-best ...

The main purpose of this paper is to study the approximate best proximity pair of cyclic maps and their diameter in fuzzy normed spaces defined by Bag and Samanta. First, approximate best point proximity points on fuzzy normed linear spaces are defined and four general lemmas are given regarding approximate fixed point and approximate best proximity pair of cyclic maps on fuzzy normed spaces. U...

Hundreds of experiments over the last decade on the retrieval of OCR documents performed by the Information Science Research Institute have shown that OCR errors do not significantly affect retrievability. We extend those results to show that in the case of proximity searching, the removal of running headers and footers from OCR text will not improve retrievability for such searches.

Let X be an arrangement of n algebraic sets Xi in d-space, where the Xi are either parametrized or zero-sets of dimension 0 ≤ mi ≤ d − 1. We study a number of decompositions of d-space into connected regions in which the distance-squared function to X has certain invariances. Each region is contained in a single connected component of the complement of the bifurcation set B of the family of dis...

In order to retrieve best documents for finding answers, we developed a robust proximity search engine. It efficiently finds relevant passages. In addition, our search engine has two disjunction operators: or and or2. The former works just like addition, whereas the latter works just like logical disjunction. The operator or2 is used to introduce synonyms and antonyms of a query term. The searc...

In this paper, we propose a novel ICP variant that uses a histogram in conjunction with multiple closest points to detect the overlap area between range images geing registered. Tentative correspondences sharing similar distances are normally all within, or all outside, the overlap area. Thus, the overlap area can be detected in a bin by bin batch manner using a histogram. Using multiple closes...

objective: to evaluate the predictive value of some biochemical markers in the outcome of extremity vascular trauma. methods: this study comprised 30 patients with traumatic arterial injury and acute limb ischemia referred to namazi hospital affiliated with shiraz university of medical ssciences, over a period of 8 months, from sep 2009 to jul 2010. venous blood samples were drawn from distal i...

s:865:"We read with interest the manuscript entitled "Serum and peritoneal fluid levels of vascular endothelial growth factor in women with endometriosis" recently published in the International Journal of Fertility and Sterility (1). The authors measured the levels of vascular endothelial growth factor in serum and peritoneal fluid of 179 women, 90 of whom were diagnosed with endometriosis, an...

Tumor angiogenesis is critical to tumor growth and metastasis, yet much is unknown about the role vascular cells play in the tumor microenvironment. In vitro models that mimic in vivo tumor neovascularization facilitate exploration of this role. Here we investigated lung adenocarcinoma cancer cells (344SQ) and endothelial and pericyte vascular cells encapsulated in cell-adhesive, proteolyticall...