dx is a negative type metric Here, dx(i, j) is the distance of the shortest i-j path using x(e) as the length of edge e. Last time we proved that this is indeed a relaxation of the problem; in that proof, we could have replaced the inequality with ∑ i,j dx(i, j) = 1, and this time it will be useful to do so. Last time, we also showed a connection between this relaxation and λ2(LF ) where LF is ...

In general I am interested in real world problems that can be attacked with mathematical tools. For example, I ask the following question: Is the secure mode of Internet browsers really secure? The underlying cryptographic standard is DES. Therefore, the natural interpretation of the problem is to ask whether there exists a polynomial time algorithm for breaking DES-like constructions. However,...

Disregarding experiments in simulated machine translation, which in place of a computer employs a person with no knowledge of the language to be translated acting in accordance with a set of given rules, only three actual attempts have been made, to my knowledge, to translate in this way. These were by the Institute of Languages and Linguistics of Georgetown University in association with the I...

results there were 64 women and 936 men in the population under study. the mean ± sd age of the donors was 38 ± 11 years. 80 out of 1000 samples (8%) were found to be positive for hbcab. hbv dna was detected in 50% of hbcab positive specimens. the mean ± sd age of donors without hbv dna was 37.7 ± 10.5 years and for donors with hbv dna was 40.9 ± 11.2 years (p = 0.05). objectives the aim of thi...

background: gavkhooni marsh is one of the most important marshes in iran. in the recent years, natural conditions of this marsh have been affected by agricultural and industrial activities in zayandehrood river catchment areas. this research was carried out in 2006 to assess some chemical parameters and the heavy metals concentration in water, soil, and plants in the area and to compare the res...

aim : this retrospective study is aimed to review demographic and clinical characteristics of ibd to elucidate the probable factors associating with ibd development in taleghani hospital in iran since 2001 during a 12-year-period.   background : ulcerative colitis (uc) and crohn’s disease (cd) are two major idiopathic entities of inflammatory bowel disease (ibd). previous studies have reported ...