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.

# REDIRECT ordinal number # Von Neumann definition of ordinals

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.

In modern set theory, we usually use the Von Neumann cardinal assignment which uses the theory of ordinal numbers and the full power of the Axioms of choice and replacement.

This event became known as Von Bredow's Death Ride after the brigade commander Adalbert von Bredow ; it would be used in the following decades to argue that massed cavalry charges still had a place on the modern battlefield.

Von Trier's next film, Breaking the Waves ( 1996 ), the first film in von Trier's ' Golden Heart Trilogy ', won the Grand Prix at Cannes and featured Emily Watson, who was nominated for the Academy Award for Best Actress.

Von Trier has stated he was inspired to make a trilogy about the United States as a reaction to Americans at the Cannes film festival who said he had no right to make the Dancer in the Dark, which was often viewed as being critical of a country he has never been to ( and has no intention of ever visiting, due to his phobia of travel ); however, von Trier himself has stated in interviews he did not intend it to be a criticism of America, saying the film takes place in a " fictional America ".

Von Sacher-Masoch was born in the city then known as Lemberg, the capital of the Kingdom of Galicia and Lodomeria, at the time a province of the Austrian Empire ( now Lviv, Ukraine ), into the Roman Catholic family of an Austrian police director of Spanish descent and Charlotte von Masoch, a Ukrainian noblewoman.

Richard Farnsworth earned an Academy Award nomination for Best Actor for his portrayal of Alvin Straight ; the oldest person ever to be nominated for a Best Actor Oscar until Max von Sydow and Christopher Plummer were both nominated ( although Plummer and Von Sydow were nominated in the supporting category, where as Farnsworth was lead ) in 2012 at age 82 ( Plummer also won the award that year, being its oldest recipient ).

# 151r: Von Singenberg, Seneschal of St. Gallen ( probably Ulrich von Singenberg, fl.

# 202v: Von Suonegge ( probably Konrad von Suonegge, fl.

# 359r: Von Buwenburg ( Baumburg near Hundersingen, probably Ulrich von Buwenburg, fl.

* June 29 – Von Roggenhausen, Michael Finck von Roggenhausen the Master of the Livonia Teutonic Order ;

Von Guericke was personally distrustful of the city's enthusiasm for the cause of Gustavus Adolphus but was nonetheless a victim of the fall of Magdeburg to von Tilly's troops in May 1631.

) Von Kahr and von Lossow were called Judases and traitors.

The way Wiener's beliefs concerning nuclear weapons and the Cold War contrasted with that of John von Neumann is the major theme of the book John Von Neumann and Norbert Wiener Heims ( 1980 ).

Two new buildings since 2000 include the Von Liebig Center for Science and the Suzanne von Liebig Theatre.

The film stars William Holden as Joe Gillis, an unsuccessful screenwriter, Gloria Swanson as Norma Desmond, a faded silent movie star who draws him into her fantasy world where she dreams of making a triumphant return to the screen with Erich von Stroheim as Max Von Mayerling, her butler and ex-husband.

Von Sydow was born Carl Adolf von Sydow, to a wealthy family, in Lund, Skåne, Sweden.

* Von Richthofen and Brown, a theatrical film released in 1971, spanning the time from just before von Richtofen's first confirmed kill until his death.

Von Foerster was born in 1911 in Vienna, Austria-Hungary, as Heinz von Förster.

Von Knebel's fiancée Ina von Grumbkow led an expedition to search for them, but no indication of what happened to them was ever found.

Some of these contain exhibits very similar to von Hagens ' plastinates ; Von Hagens has asserted copyright protection, and has sued Body Exploration and Bodies Revealed.

He was an ancestor of Baldur von Schirach, onetime leader of the Hitler Youth and later Governor (" Gauleiter " or " Reichsstatthalter ") of the Reichsgau Vienna, who was convicted of " crimes against humanity " at the Nuremberg Trials, through Baldur Von Schirach's mother Emma Middleton Lynah Tillou ( 1872 – 1944 ).

Souham devised a strategic pincer movement consisting of his division attacking southwards from Kortrijk ( Courtrai ) and Maj-Gen Bonnaud's division northeastwards from Lille, thus catching the separated allied columns of Von dem Bussche, Rudolf Ritter von Otto and the Duke of York between them.

" Von Symeon von Durham zu Wilhelm von Newburgh: Wege der englischen ' Volkgeschichte ' im 12.

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.

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.