In class theories such as Von Neumann – Bernays – Gödel set theory and Morse – Kelley set theory, there is a possible axiom called the axiom of global choice which is stronger than the axiom of choice for sets because it also applies to proper classes.

Basic theories, such as arithmetic, real analysis and complex analysis are often introduced non-axiomatically, but implicitly or explicitly there is generally an assumption that the axioms being used are the axioms of Zermelo – Fraenkel set theory with choice, abbreviated ZFC, or some very similar system of axiomatic set theory like Von Neumann – Bernays – Gödel set theory, a conservative extension of ZFC.

Von Neumann wrote the first array-sorting program ( merge sort ) in 1945, during the building of the first stored-program computer .< sup > p.

Pfanzagl's axiomatization was endorsed by Oskar Morgenstern: " Von Neumann and I have anticipated " the question whether probabilities " might, perhaps more typically, be subjective and have stated specifically that in the latter case axioms could be found from which could derive the desired numerical utility together with a number for the probabilities ( cf.

Von Neumann machines differ in having a memory in which they store their operating instructions and data.

The modern computer, or Von Neumann machine, would play a central role in cognitive science, both as a metaphor for the mind, and as a tool for investigation.

Some argue that the concept of the collapse of a " real " wave function was introduced by Heisenberg and later developed by John Von Neumann in 1932.

Von Neumann himself used the term Universal Constructor.

As a serious proposal, it was first suggested by mathematician John Von Neumann in the late 1940s when he proposed a kinematic self-reproducing automaton model as a thought experiment.

See Von Neumann, J., 1966, The Theory of Self-reproducing Automata, A. Burks, ed., Univ.

The design could be modified to build Von Neumann probes to explore the galaxy.

The movie Screamers, based on Dick's short story Second Variety, features a group of robot weapons created by mankind to act as Von Neumann devices / berserkers.

In 1968, just before he published the first volume, Knuth accepted a job working on problems for the National Security Agency ( NSA ) through their FFRDC the Institute for Defense Analyses ( IDA ) Communications Research Division situated at the time on the Princeton campus in the Von Neumann building as stated in his cumulae vitae.

In work on Zermelo – Fraenkel set theory, the notion of class is informal, whereas other set theories, such as Von Neumann – Bernays – Gödel set theory, axiomatize the notion of " class ", e. g., as entities that are not members of another entity.

In September 2011 researchers also proved that a quantum computer can be made with a Von Neumann architecture ( separation of RAM ).

* Von Neumann machine

* Mathematics: Von Neumann universe

As far as computer security is concerned, reasoning about the security properties of a computer system requires being able to make sound assumptions about what it can, and more importantly, cannot do ; however, barring any reason to believe otherwise, a computer is able to do everything that a general Von Neumann machine can.

Von Neumann machine may refer to:.

* Von Neumann architecture, a conceptual model of a computer architecture

** Von Neumann probes, hypothetical space probes capable of self-replication

Von Neumann used 10 digit numbers, but the process was the same.

Von Neumann was aware of this, but he found the approach sufficient for his purposes, and was worried that mathematical " fixes " would simply hide errors rather than remove them.

Both Von Neumann as well as various degrees of Harvard architectures are used.

Von Bork and his diplomat friend Baron von Herling disparage their British hosts, having judged them rather negatively.

Ultimately, Hess and Von Neurath, Nazi Minister of Foreign Affairs, were the only officials Haushofer judged to have had a proper understanding of geopolitik.

However, when pressed to provide the hardware he used to record evidence used in the Dr. Maurice Wolin case, Von Erck refused, claiming that the hard disk drive had " experienced a complete failure ".

While the brain has hardware tailored to the task of processing signals through a graph of neurons, simulating even a most simplified form on Von Neumann technology may compel a NN designer to fill many millions of database rows for its connections-which can consume vast amounts of computer memory and hard disk space.

As well as the Billabong brand-name, the company sells surfwear and accessories under the Palmers Surf, Honolua Surf, Swell. com, Von Zipper, Kustom ( footwear ), Nixon, Xcel Wetsuits and Tigerlily brands, and also Element skate clothing and hardware.

In the 1949 talk, Von Neumann famously quipped that, " Any one who considers arithmetical methods of producing random digits is, of course, in a state of sin.

A simple pen-and-paper method for generating random numbers is the so-called middle square method suggested by John Von Neumann.

Von Strahlenberg's classification was the first attempt at classification of a large number of languages some of which are Altaic.

Von Trier has had a number of his films featured at the Cannes Film Festival over the course of his career, and each time has insisted on driving from Denmark to France for the festival and back.

# REDIRECT ordinal number # Von Neumann definition of ordinals

Von Mises never totally formalized his definition of a proper selection rule for sub-sequences, but in 1940 Alonzo Church defined it as any recursive function which having read the first N elements of the sequence decides if it wants to select element number N + 1.

Von Bülow comments, " To imbue this wonderful number with what I should like to call the ' high priestly solemnity ' in which it was conceived, let the performer's fantasy summon up before his eyes the sublime arches of a Gothic cathedral.

Von Bülow comments, " We should like to style this number, thoughtful and tender alike, a renascence of the Bach Adagio, as the succeeding double fugue is one of the Handel Allegros.

In addition to " The Long-Lost-Friend ," Hohman also wrote and published, or at least had attributed to him, a number of further books in German, including Unsers Herran Jesu Christi Kinderbuch, oder, Merkwurdige Historische Beschreibung Von Joachim Und Anna ( Our Lord Jesus Christ's Childhood-Book, or, The Strange Historical Description of Joachim and Anna ), and Albertus Magnus, oder, Der Lange Verborgene und Getreuer und Christlicher Unterricht fur Jedermann ( Albertus Magnus, or, Long Lost and True and Christian Instructions for Everyone ).

Von Koch wrote several papers on number theory.

Von Teese appeared on a number of fetish magazine covers, including Bizarre and Marquis.

Von Luckner and a number of other prisoners seized Pearl and made for the Coromandel Peninsula.

Von der Ahe noticed that a number of his patrons visited the saloon after baseball games, so in 1882, he bought the bankrupt and scandal-ridden St. Louis Brown Stockings baseball franchise for $ 1, 800 and joined the American Association baseball league.

If we use the Von Neumann cardinal assignment, every infinite cardinal number is also a limit ordinal ( and this is a fitting observation, as cardinal derives from the Latin cardo meaning hinge or turning point ): the proof of this fact is done by simply showing that every infinite successor ordinal is equinumerous to a limit ordinal via the Hotel Infinity argument.

Here the Corps continued its involvement, providing aircrew and engineering staff to support films such as Darling Lili, Von Richthofen and Brown, Zeppelin and a number of television commercials.

The Von Sternberg House had a very small number of rooms and a relatively small surface area which played up its unique design features.

Von Fürstenberg served as an inspiration for Andy Warhol, Julian Opie, Chuck Close, and many others and has been the subject of a number of artistic renderings.

Glendale's newest additions, Tazzina ( formerly La Tavernetta ), Edison Place ( formerly Von Westernhagen's ) and The Shops at Atlas Park, has a number of chain and independent restaurants, including California Pizza Kitchen, Chili's Grill & Bar, Johnny Rockets, Starbucks, Manor Oktoberfest, and Shiro of Japan.

There was a significant increase in the number of regular season tournaments in 2009, following the integration of the former Von Nida Tour events.

Robson also produced a number of films which he also directed including Von Ryan's Express in 1965.

In 2006, Kevin, and a number of others from World Class Championship Wrestling's heyday, participated in Heroes of World Class Wrestling, an independently produced retrospective documentary about the promotion and the Von Erich family.

After WCCW folded in 1990 due to dwindling attendance, fundamental changes in the wrestling industry and tragedies involving a number of its top stars ( including all but one of the Von Erichs, Gino Hernandez, and Bruiser Brody ), the Sportatorium served as home base for the Global Wrestling Federation from 1991 to 1994 ( billing itself for a time as the GlobalDome ).

In that story, set in 1872, a number of DC's western heroes ( including the aforementioned Hex, Bat Lash, Johnny Thunder, and Madame. 44 ) were employed by Otto Von Hammer and Jason Blood to defeat Wise Owl and recover from him an object of great power, which turned out to be a crystal containing the spirit of Swamp Thing, who had become lost in time.

Classic Reprints, number 14: Die Schacholympiade Von Hamburg 1930, F. Chalupetzky and L. Tóth, 01-12-1973.

He wrote credited screenplays for eight films directed by Josef Von Sternberg and an equal number for Howard Hawks.