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.

The subject of the song " She " is not mentioned in the lyrics, but Misfits associate Eerie Von noted in The Misfits box set in 1996 that the song was about Patty Hearst.

Von Sternberg had commercial success later in the decade at Paramount Pictures with the late-period silent films The Last Command and The Docks of New York ( 1928 ), both noted for their influential cinematography.

Von Braun called in Koelle and showed them a model of the Juno V, but the ARPA visitors noted that the E-1 engine wouldn't be ready by 1960.

He is noted for voicing the lead Dick Daring in 71 episodes of The Replacements from 2006 through 2009, and for voicing Mr. Turner, Cosmo, and Jorgen Von Strangle, for the The Fairly OddParents franchise from 2001 to present, including 121 episodes of the television series, six specials, and seven TV movies, as well as voicing these same chararacters in the related Jimmy Timmy Power Hour trilogy: The Jimmy Timmy Power Hour, The Jimmy Timmy Power Hour 2: When Nerds Collide, and The Jimmy Timmy Power Hour 3: The Jerkinators.

Although the subject of " She " is not mentioned in the lyrics, Misfits associate Eerie Von noted in The Misfits box set that the song was about Patty Hearst.

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

In 1797, Von Humboldt attributed this magnetization to lightning strikes ( and lightning strikes do often magnetize surface rocks ).

Von Braun's thesis, Construction, Theoretical, and Experimental Solution to the Problem of the Liquid Propellant Rocket ( dated 16 April 1934 ), was kept classified by the German army and was not published until 1960.

However the ability to diversify vampires with the new ' vampiric abilities ' section has kept the option of fielding bloodlines other than Von Carsteins in the Vampire Counts army list, at least from a narrative point of view.

Von Choltitz was kept prisoner until April 1947.

As Von der Porten and others wrote: " Private confession could not be kept private, and public confession was fraught with great peril.

The two kept in touch after Portman moved to Berkeley to attend the University of California, Berkeley, where he met Jon Von Zelowitz who was a fellow DJ at the university's radio station KALX.

But now the park's Power Gems, as well as Von Clutch's own power source, the Black Power Gem, which have kept the park, and himself alive and active, have been stolen, giving Von Clutch only a few hours to get them back.

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.

But San Francisco's defense tightened up on the next 3 plays, forcing 2 incompletions and a completed pass for no gain, and Miami was forced to settle for Von Schamann's second field goal of the game to cut their deficit to 28-13 with 12 seconds left in the half.

Von Guericke then attached his evacuated Receiver to the space below the piston and succeeded in drawing the piston back down again against the force of the men pulling it up.

Von Rauffenstein has the guards stop shooting at de Boeldieu and pleads with his fellow aristocrat to give himself up.

Von Neumann wrote up an incomplete set of notes ( First Draft of a Report on the EDVAC ) which were intended to be used as an internal memorandum describing, elaborating, and couching in formal logical language the ideas developed in the meetings.

Another running gag was George's weekly " firing " of announcer Harry Von Zell after he turned up aiding, abetting or otherwise not stopping the mayhem prompted by Gracie's illogical logic.

Von Bulow's IV Corps moved south of Wavre and set up strong rear guard positions for the army to quickly reassemble.

Von Bülow's IV Corps, which had not been engaged at Ligny, moved south of Wavre and set up a strong position on which the other elements of the Prussian army could reassemble.

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.

To the west of Arnhem was Kampfgruppe Von Tettau, a force equivalent to seven battalions made up of all manner of German units ( including Wehrmacht, Luftwaffe, Kriegsmarine, rear echelon and Waffen-SS troops ) under the command of General Hans von Tettau at Grebbeberg.

When May left the band Christ shared an apartment with new drummer Chuck Biscuits, where they came up with Christ's original stage name " John Von Christ ", before it was shortened to avoid it clashing with bassist Eerie Von.

Von Kluck, in turning to meet the potential for attack on his right flank, opened up a-wide gap in the German lines between his First Army and the German Second Army, commanded by the cautious General Karl von Bülow, which was located to the left of the First Army.

Von Bülow and his brother grew up in Berlin with their grandmother.

Von Tempsky was brought up in Liegnitz in Lower Silesia.

I assumed this was a footman who had come down to help me out of the car and up the steps, and was proceeding in leisurely fashion to get myself out of the car when I heard Von Neurath or somebody throwing a hoarse whisper at my ear of ‘ Der Fuhrer, de Fuhrer ’; and it then dawned upon me that the legs were not the legs of a footman, but of Hitler ".

He published also an autobiography entitled Von Magdeburg nach Königsberg ( 1873 ), which deals with his life up to the time of his settlement at Königsberg.

Von Ohain had caught up with Whittle at last.

Also, Rayna Von Tosh, of SHIMMER fame had a burlesque pin up gimmick.

Von Broich, the battle group's commander, decided with Rommel ′ s agreement, to pause and regroup, so giving up the initiative while Allied reinforcements continued to arrive.

Colonel Von Wilstorff put up a stout defence of the outdated fortifications, and after six days the siege failed.

Von Kienbusch published catalogs of his collection, which eventually led Dresden authorities to bring the matter up with the museum.

At the Final 6, Morasca and Strobel scrambled to stay in the game, trying to break up the now-alliance of Cesternino, Matthew Von Ertfelda and Butch Lockley.

As a result of these multiple catastrophes, attendance in both Dallas and Fort Worth plummeted ; according to some former WCCW wrestlers, many fans became disillusioned with the Von Erichs as the supposedly " clean-living " brothers ' drug use became harder to cover up, and they frequently no-showed cards the promotion booked in smaller towns.

In an attempt to keep World Class hot, by means of running long-term angles, Brian Adias, who was billed as the childhood friend of the Von Erichs ( which is legitimate, since Brian grew up with the Adkissons in Denton and also went to high school with Kerry ), began a storyline with them by turning heel against Mike Von Erich during a match, then eventually began feuding with Kevin Von Erich later on.