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set theoretic वाक्य

"set theoretic" हिंदी मेंset theoretic in a sentence
उदाहरण वाक्यमोबाइल
  • Usual set theoretic notation is employed, though note that T is a multiset.
  • This problem is among twenty of the most important problems of set theoretic topology.
  • The Zariski topology in the set theoretic sense is then replaced by a Grothendieck topology.
  • In this context, many set theoretic ideas about domains must be abandoned or at least formulated more abstractly.
  • What you said about understanding the set theoretic definition of a topology struck a chord with me, though.
  • The two preceding examples are power sets, which are Boolean algebras under the usual set theoretic operations of union, intersection, and complement.
  • As shown by Ilijas Farah and N . Christopher Phillips and Nik Weaver, the existence of outer automorphisms of the Calkin algebra depends on set theoretic assumptions beyond ZFC.
  • X . Introduced November 1969, Dana Scott's untyped set theoretic model constructed a proper topology for any ?-calculus model whose function space is limited to continuous functions.
  • Note that there are other notions of compactness in mathematics; also, the term " set theoretic meaning does not coincide with the order-theoretic notion of a " finite element ".
  • This definition of intersection multiplicity, which is essentially due to Jean-Pierre Serre in his book " Local algebra ", works only for the set theoretic components ( also called " isolated components " ) of the intersection, not for the embedded components.
  • I have a basic understanding of both, and intend to go into both in detail, but wanted a better idea of which is " more useful " in terms of seeing connections and understanding set theoretic things-as opposed to, say, actually proving some specific result.
  • The intended meaning is, in gonzo set theoretic terms, " For all x, if x is an element of C, x is either an element of A or B ", or more precisely " A intersection B is the null set, and A union B is C ".
  • D . L . Childs, Vice President of Set Theoretic Information Systems ( STIS ) Corporation, provided continuing guidance in the use of Set-Theoretic Data Structure ( STDS ) data access software for MICRO . Funding came from the Office of Manpower Administration within the U . S . Department of Labor.
  • :The form not the content of the theories ( conversation theory and interactions of actors theory ) return to and is congruent with the forms of physical theories; such as wave particle duality ( the set theoretic unfoldment part of conversation theory is a radiation and its reception is the interpretation by the recipient of the descriptions so exchanged, and vice versa ).
  • The usual set of axioms of set theory is called ZFC . When a set theoretic statement A is said to be equiconsistent to another B, what is being claimed is that in the metatheory ( Peano Arithmetic in this case ) it can be proven that the theories " ZFC + A " and " ZFC + B " are equiconsistent.
  • Although, technically, there is no difference between an individual " diagram " and a " functor " or between a " scheme " and a " category ", the change in terminology reflects a change in perspective, just as in the set theoretic case : one fixes the index category, and allows the functor ( and, secondarily, the target category ) to vary.
  • However there are many " set theoretic " statements, such as V \ cap \ mathbb { R } = L \ cap \ mathbb { R }, that can be stated ( with effort ) in second order arithmetic but are not provable even in ZFC . The best example of a theorem that is provable in ZFC but not second-order arithmetic is probably Borel determinacy . & mdash; Carl ( talk ) 23 : 15, 2 June 2009 ( UTC)

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