46 resultados para incremental computation


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"The present volume has been reconstructed from the folio edition by a literary friend [John Sharpe] ... the ... revision of the manuscript ... having been intrusted to myself."--Sir Henry Ellis, in preface (dated 1844) cf. also Lowndes.

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Shipping list no.: 87-677-P.

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"Embodies a course given by the writer for a number of years in the mathematical laboratory of the Massachusetts Institute of Technology."

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At head of cover title: Generalized computer program.

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Description based on: 1890.

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Title Varies: 1898-1905, Statement of the Computation and Apportionment of the State Levy of Taxes; ?-1897, Statement of the Expenses To Which the State of Oregon Will Be Subjected for the Year 18?-1897 and of the Items of Deficiencies More

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The Church-Turing Thesis is widely regarded as true, because of evidence that there is only one genuine notion of computation. By contrast, there are nowadays many different formal logics, and different corresponding foundational frameworks. Which ones can deliver a theory of computability? This question sets up a difficult challenge: the meanings of basic mathematical terms (like "set", "function", and "number") are not stable across frameworks. While it is easy to compare what different frameworks say, it is not so easy to compare what they mean. We argue for some minimal conditions that must be met if two frameworks are to be compared; if frameworks are radical enough, comparison becomes hopeless. Our aim is to clarify the dialectical situation in this bourgeoning area of research, shedding light on the nature of non-classical logic and the notion of computation alike.

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"Air research and Development Command, Air Force Office of Scientific Research, Mechanics Division. Contract no. AF 49(638) - 498."