The Hilbert-Smith Conjecture states that if G is a locally compact group which acts effectively on a connected manifold as a topological transformation group, then G is a Lie group. A rather straightforward proof of this conjecture is given. The motivation is work of Cernavskii (“Finite-to-one mappings of manifolds”, Trans. of Math. Sk. 65 (107), 1964.) His work is generalized to the orbit map ...

The 1986 Supreme Court of New Hampshire case Smith v. Cote held that parents in New Hampshire could sue their physicians based on a claim of wrongful birth [5] of their children, but that such suits warranted only qualified damages for emotional distress. Smith also held that children couldn't sue physicians for negligently allowing the lives of those children, a claim called wrongful life [6]....

We present a novel hardware implementation of the double affine Smith-Waterman (DASW) algorithm, which uses dynamic programming to compare and align genomic sequences such as DNA and proteins. We implement DASW on a commodity graphics card, taking advantage of the general purpose programmability of the graphics processing unit to leverage its cheap parallel processing power. The results demonst...

Mutual correlation between segments of DNA or protein sequences can be detected by Smith-Waterman local alignments. We present a statistical analysis of alignment of such sequences, based on a recent scaling theory. A new fidelity measure is introduced and shown to capture the significance of the local alignment, i.e., the extent to which the correlated subsequences are correctly identified. It...

The 1986 Supreme Court of New Hampshire case Smith v. Cote held that parents in New Hampshire could sue their physicians based on a claim of wrongful birth [5] of their children, but that such suits warranted only qualified damages for emotional distress. Smith also held that children couldn't sue physicians for negligently allowing the lives of those children, a claim called wrongful life [6]....

BACKGROUND Smith-Lemli-Opitz syndrome (SLOS) is an autosomic recessive metabolic affection. Children affected by SLOS exhibit a defect in cholesterol biosynthesis associated with a high concentration of cholesterol precursor 7 dehydrocholesterol (7 DHC) and its isomers, which is due to an enzymatic block at the level of delta-7-DHC reductase. SLOS has been subdivided into two types on the basis...