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We construct simplified quantum circuits for Shor's order-finding algorithm for composites N given by products of the Fermat primes 3, 5, 17, 257, and 65537. Such composites, including the previously studied case of 15, as well as 51, 85, 771, 1285, 4369, … have the simplifying property that the order of a modulo N for every base a coprime to N is a power of 2, significantly reducing the usual ...

The Heterogeneous Tool Set (HETS) is the main analysis tool for the specification language heterogeneous CASL. Heterogeneous CASL (HETCASL) combines the specification language CASL [6, 28] with CASL extensions and sublanguages, as well as completely different logics and even programming languages such as Haskell. HETCASL (see Fig. 1 for a simple subset) extends the structuring mechanisms of CAS...

Objective: The authors examined whether alcoholrelated negative consequences decreased among students exposed to an intervention. Participants: Beginning in 1999, approximately 2,500 randomly selected undergraduates from a 4-year US university annually participated in a Web-based survey over 6 years. Methods: The educational intervention used social norms initiatives. Main outcome measures incl...

This review of general surgery has a distinctly abdominal flavour, with sections on the acute abdomen, inflammatory bowel disease, large bowel tumours, and diseases of the biliary system and pancreas. However, I also include peripheral vascular disease, the breast and experimental surgery as topics for discussion. As usual, the papers reviewed are those that particularly caught the author's eye...

At the same time that solutions were being sought for the problems of people reaching old age without income and savings in the depressed American economy of the 1930’s, another incomemaintenance problem was being intensively scrutinized-unemployment among able-bodied workers of all ages. If poverty in old age represented a burden no longer to be accepted, so, too, did the involuntary unemploym...

The Loess Plateau is well known for its deep loess deposits and serious soil erosion. This paper analyses the characteristic of soil erosion on the Plateau and reviews the small watershed management and ecosystem rehabilitation practice and development in the future. In the last 30 years, the government has paid great attention on the integrated small watershed management and restoration of the...