منابع مشابه
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Filliman duality expresses (the characteristic measure of) a convex polytope P containing the origin as an alternating sum of simplices that share supporting hyperplanes with P . The terms in the alternating sum are given by a triangulation of the polar body P ◦. The duality can lead to useful formulas for the volume of P . A limiting case called Lawrence’s algorithm can be used to compute the ...
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We prove that the category of boolean inverse monoids is dually equivalent to the category of boolean groupoids. This generalizes the classical Stone duality between boolean algebras and boolean spaces. As an instance of this duality, we show that the boolean inverse monoid Cn associated with the Cuntz groupoid Gn is the strong orthogonal completion of the polycyclic (or Cuntz) monoid Pn. The g...
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With the unit interval [0,1] as the truth value table, Chen and Wupresented the concept of possibility computation over dcpos.Indeed, every possibility computation can be considered as a[0,1]-valued Scott open set on a dcpo. The aim of this paper is tostudy Chen-Wu's duality on quantale-valued setting. For clarity,with a commutative unital quantale $L$ as the truth value table, weintroduce a c...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1972
ISSN: 0033-068X
DOI: 10.1143/ptp.48.900