منابع مشابه
Arithmetical Paraphrases
(2) gitl,b, ••', £r\), Ä(|lJi, 1}2, •••, TJ.) exist and are determinate for all integral values of the x, y in £, 77 respectively; the value of g is unchanged when any one of the £ is replaced by its negative; h changes sign and vanishes with each r\. It is emphasized, once for all, that beyond these restrictions f, g, h are wholly arbitrary. As examples of the bar notation, fix,y\) =f(-x,y\) =...
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Almost 20 years ago, W. Narkiewicz posed the problem to give an arithmetical characterization of the ideal class group of an algebraic number field ([13, problem 32]). In the meantime there are various answers to this question if the ideal class group has a special form. (cf. [4], [5], [12] and the literature cited there). The general case was treated by J. Koczorowski [11], F. Halter-Koch [8],...
متن کاملArithmetical Knowledge and Arithmetical Definability: Four Studies
by Sean Walsh The subject of this dissertation is arithmetical knowledge and arithmetical definability. The first two chapters contain respectively a critique of a logicist account of a preferred means by which we may legitimately infer to arithmetical truths and a tentative defense of an empiricist account. According to the logicist account, one may infer from quasi-logical truths to patently ...
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A variety of applications can benefit from broad and detailed repositories of linguistic and world knowledge. An emerging approach to acquiring such repositories is to collect them from volunteer contributors. To increase the volume of contributions, some deployed systems for collecting volunteer-contributed knowledge offer recognition or prizes to those who provide the highest volume of contri...
متن کاملArithmetical Measure
We develop arithmetical measure theory along the lines of Lutz [10]. This yields the same notion of “measure 0 set” as considered before by Martin-Löf, Schnorr, and others. We prove that the class of sets constructible by r.e.-constructors, a direct analogue of the classes Lutz devised his resource bounded measures for in [10], is not equal to RE, the class of r.e. sets, and we locate this clas...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1921
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1921-1501170-9