In this article we present applications of smooth numbers to the unconditional derandomization of some well-known integer factoring algorithms. We begin with Pollard's p – 1 algorithm, which finds in ...

We devise an algorithm for solving the infinite-dimensional linear programs that arise from general deterministic semi-Markov decision processes on Borel spaces. The algorithm constructs a sequence of ...

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It has demonstrated the powerful ability of a quantum computer to perform certain computational tasks more efficiently than a classical computer. Thus, to show quantum advantages is a key problem in ...