Max Planck

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Max - Planck - Institut für

In this paper we consider the question of determining the geometric genera of irreducible curves lying on a very general surface S of degree d > 5 in P (the cases d 6 4 are well known). For any d > 4 we introduce the set Gaps(d) of all non–negative integers which are not realized as geometric genera of irreducible curves on a very general surface of degree d in P. We prove that Gaps(d) is finit...

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We present a two-sorted algebra, called a Peirce algebra, of relations and sets interacting with each other. In a Peirce algebra, sets can combine with each other as in a Boolean algebra, relations can combine with each other as in a relation algebra, and in addition we have both a relationforming operator on sets (the Peirce product of Boolean modules) and a set-forming operator on relations (...

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ACCORDING to the standard story, which is unfortunately still found in many physics textbooks, quantum theory emerged when it was realized that classical physics predicts an energy distribution for black-body radiation that disagrees violently with that found experimentally. In the late 1890s, so the story continues, the German physicist Wilhelm Wien developed an expression that corresponded re...

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ژورنال

عنوان ژورنال: Physik Journal

سال: 1947

ISSN: 0031-9279

DOI: 10.1002/phbl.19470030801