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. Previously, Menger and Birkhoff experienced axiomatized sophisticated projective geometry regarding the Attributes of its lattice of linear subspaces. Von Neumann, pursuing his Focus on rings of operators, weakened These axioms to explain a broader class of lattices, the continual geometries.

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He is usually provided being an example that mathematicians could do good perform in the physical sciences also, having said that R. D. Richtmyer describes how during von Neumann's time at Los Alamos he functioned not as being a mathematician applying his art to physics complications, but fairly solely to be a physicist from the intellect and thought (except more rapidly).

In several von Neumann's papers, the ways of argument he utilized are deemed far more considerable than the results. In anticipation of his afterwards study of dimension theory in algebras of operators, von Neumann utilised results on equivalence by finite decomposition, and reformulated the condition of measure in terms of functions.[125] An important contribution von Neumann built to measure theory was the result of a paper written to reply a matter of Haar regarding no matter whether there existed an algebra of all bounded features on the actual number line these that they sort "a complete process of Reps from the classes of just about everywhere you go-equivalent measurable bounded functions".[126] He proved this in the positive, and in later on papers with Stone mentioned several generalizations and algebraic aspects of this problem.

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Later on within the year he published A further prolonged and influential paper that started the systematic review of ergodicity. Within this paper he gave and proved a decomposition theorem exhibiting which the ergodic evaluate preserving actions of the real line are the fundamental creating blocks from which all evaluate preserving actions is usually developed.

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La neutralità di questa voce o sezione sull'argomento Letteratura è stata messa in dubbio. Motivo: Il paragrafo sembra scritto dall'ufficio stampa della FAPAV. Sarebbe utile correggerla eliminando valutazioni soggettive sugli impatti all'industria multimediale.

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Von Neumann is credited with developing the equilibrium method of mutual assured destruction (MAD). He also "moved heaven and earth" to carry MAD about. His objective was to promptly develop ICBMs as well as compact hydrogen bombs that they could produce to your USSR, and he understood the Soviets ended up undertaking related work since the CIA interviewed German rocket researchers who were permitted to return to Germany, and von Neumann experienced planted a dozen technical men and women inside the CIA.

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