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.

Von Neumann judged hardware random number generators unsuitable, for, if they did not record the output generated, they could not later be tested for errors.

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

Von Mackensen had planned for the salient to be ground away rather than employing a rapid, focused thrust to cut it off.

Von Falkenhausen was a close friend of two anti-Hitler conspirators, Carl Friedrich Goerdeler and Field Marshal Erwin von Witzleben, and soon came to detest Adolf Hitler and the Nazi regime, offering his support to von Witzleben for a planned coup d ' état.

Observing that the Australian 1st Division was holding a frontage of, the local German Corps commander ( General Otto Von Moser, commanding the German XIV Reserve Corps ) planned a spoiling attack to drive back the advanced posts, destroy supplies and guns and then retire to the Hindenburg defences.

When demands for more money in 1987 were not met by Fritz, Vaughan jumped to WCCW's territorial rival Wild West Wrestling without giving notice, and in a rare breach of kayfabe, Vaughan's non-relationship to the family was exposed by Fritz on television in retaliation, saying that Vaughan was " in no way, shape or form related to the Von Erich family " and Fritz said he never planned on mentioning Vaughan's name again.

As with the Von der Tann design, which was drawn up at a similar time, all guns could be fired either side in broadsides, meaning more guns could come to bear than with the Helgoland design, despite having fewer in total.

Von Herbulis to design its replacement, Tabaret Hall.

In 1932 the film director Josef von Sternberg commissioned architect Richard Neutra to design a residence in the avant-garde American modernism architectural style, known as the Von Sternberg house.

Von Braun returned the design to DoD in December, 1957 as A National Integrated Missile and Space Vehicle Development Program, outlining the new design, then known simply as " Super-Jupiter ".

Von Braun had earlier referred to Redstone and Jupiter rockets being used as space launchers as the Juno I and Juno II, respectively, and made proposals for multi-stage versions as the Juno III and IV, and so he changed the name of the new design to Juno V. The total development cost of $ 850 million ($ 5. 6 billion in year-2007 dollars ) between 1958-1963 also covered 30 research and development flights, some carrying manned and unmanned space payloads.

Von Braun had high hopes for the design, feeling it would make an excellent test-bed for other propulsion systems, notably the F-1 if it matured.

In 1932, von Sternberg commissioned architect Richard Neutra to design the ' Von Sternberg House ', an avant-garde American modernist residence.

When the Skrulls invaded earth and unleashed a virus that disabled all Starktech systems along with Rhodes ' life-support systems, he is forced to rely on Baron Von Blitzschlag's electrical powers to keep him alive while managing to activate a cluster of emergency generators in his armor that incorporated Stanetech parts in its design.

The design of the Von Sternberg House contrasts with the typical homes built at the beginning of the 21st century.

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

Greg Richardson Von Oy ( the other original Co-Founder of 2i ) and Josh Lytle ( a former professional gamer ) helped to playtest and finalize the original design of the game.

Von Eckardt did not blame the architects for the building's design, but rather the CFA.

He is one of a group of designers and artists including Ed Roth, George Barris, Norm Grabowski, Dean Jeffries, Bill Cushenberry and the great pinstripe artist Kenny Howard ( nicknamed Von Dutch ), who presided over one of the most productive and creative periods of American custom car and hot rod design.

Von Rebay chose the noted architect Frank Lloyd Wright to design the museum.

Germans Moritz Von Oswald and Mark Ernestus, passionate devotees of the label's sound, have undertaken an extensive and ongoing 12 " and LP re-issue campaign for the label through an exclusive imprint in the Basic Channel record label family, bearing the Wackies logo and label design.

Von Braun Ferry Rocket was a concept design for a shuttle spacecraft that has been developed by Wernher von Braun in a seminal series of early 1950s ' Collier's magazine articles Man Will Conquer Space Soon!