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 Stein wrote:

The effect of the British operation here was felt in Flanders, General Von Kuhl wrote later that it was a costly defeat and " wrecked " the plan for relieving divisions which had been " fought-out " in Flanders.

Hartknoch wrote: Von den Städten und Schlössern.

She wrote the libretto for Schoenberg's one-act opera Von heute auf morgen under the pseudonym Max Blonda.

Within a very few years Albert formed his own firm, The York Publishing Company, and there appears to have been no further collaboration between Albert and Harry Von Tilzer, although both of them wrote and published many hundreds of songs.

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 Däniken wrote his second book, Gods from Outer Space, while in prison.

Von Däniken wrote in Chariots of the Gods?

Von Koch wrote several papers on number theory.

Sterling and Harry Von Tilzer, wrote " On the Old Fall River Line ".

He wrote " New York Stories " for Donna Karan's DKNY, and directed the " Von Hummer the 1st " series of promotional spots for VH1, starring James Urbaniak.

Brown wrote lyrics for many of the top Tin Pan Alley songwriters of the day, including Albert Von Tilzer, Con Conrad, and Harold Arlen.

In 1682, he returned to London, where he wrote the Chymischer Glücks-Hafen, Oder Grosse Chymische Concordantz Und Collection, Von funffzehen hundert Chymischen Processen and died in October of the same year.

Von Kármán wrote of Qian, “ At the age of 36, he was an undisputed genius whose work was providing an enormous impetus to advances in high-speed aerodynamics and jet propulsion .” The American journal Aviation Week & Space Technology would name Qian its Person of the Year in 2007, and comment on his interrogation of von Braun, " No one then knew that the father of the future U. S. space program was being quizzed by the father of the future Chinese space program.

Von Tempsky wrote that “ Heaphy has the ( Victoria ) Cross and I want it ”, which may have caused the reckless action leading to his own death.

Von Siebold wrote a paper ( published in 1852 ) summarizing Bilharz's findings.

Von Windisch wrote at one point that Kempelen " refused the entreaties of his friends, and a crowd of curious persons from all countries, the satisfaction of seeing this far-famed machine.

Together with Hans Rademacher, he wrote a classic of popular mathematics Von Zahlen und Figuren, which was first published in 1930 and later translated into English as Enjoyment of mathematics.

" Wilson was more influential to the science of public administration than Von Stein, primarily due to an article Wilson wrote in 1887 in which he advocated four concepts:

Von Franz also wrote over 20 volumes on Analytical psychology, most notably on fairy tales as they relate to Archetypal or Depth Psychology, most specifically by amplification of the themes and characters.

Von Trier actually wrote the third and final season, but the production was not picked up by DR. At that point, five regular cast members had died and it seemed impossible to continue the series.

Von Richthofen wrote in his diary: As it was a complete success of our 250 kg ( explosive ) and ECB1 ( incendiary ) bombs.

German Commander Von Estorff wrote in a report that approximately 1, 700 prisoners had died by April 1907, 1, 203 of them Nama.