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 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.

Unbeknownst to everyone, the Blot is hiding in a device that Ludwig Von Drake has invented to give out clues to find the criminal, so he continually makes the machine give out clues that don't lead the good guys anywhere.

Many other inventions were perfected in Anderson including: the gas regulator ( Miron G. Reynolds ), the stamp vending machine ( Frank P. Dunn ), clothes presser ( H. Donald Forse ), Irish Mail ( Hugh Hill ), flower car for funeral homes ( Francis M. McClain, automatic gearshift ( Von D. Polhemus )), Sisson choke ( Glenn Sisson ), and the vulcanizing process to retread tires ( Charles E. Miller ).

This separation of data and instructions is known as the Harvard architecture ( although the exact nature of this separation that makes a machine Harvard, rather than Von Neumann, has been obscured with the passage of time, see Modified Harvard architecture ).

The transfer from hardwiring to machine code represents the implementation of the Von Neumann machine.

A later machine incorporates the stored program concept exemplified by a Von Neumann machine where data and program are both stored in the same machine.

In the Von Neumann machine each program represents a different hardwired machine, with the program defining the transfer function for data.

The history of the agent based model can be traced back to the Von Neumann machine, a theoretical machine capable of reproduction.

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.

The original green cars, built by the local machine company Pümpin & Herzog ( later part of Von Roll ) were replaced in 1914 by a new set of cars on account of the Swiss national exhibition in Bern, and the official name of the funicular was changed from Drahtseilbahn Aarziele to Drahtseilbahn Marzili-Stadt Bern.

The history of the agent-based model can be traced back to the Von Neumann machine, a theoretical machine capable of reproduction.

The history of agent-based modeling can be traced back to Von Neumann machines, the concept of a machine capable of reproduction.

# REDIRECT Von Neumann machine

Von Neumann also worked on what he called the universal constructor, a self-replicating machine that would operate in a cellular automata environment.

Von Neumann's concept of a physical self-replicating machine was dealt with only abstractly, with the hypothetical machine using a " sea " or stockroom of spare parts as its source of raw materials.

AVMs may occur in isolation or as a part of another disease ( for example, Von Hippel-Lindau disease or hereditary hemorrhagic telangiectasia ).

Von Hartmann ’ s work, on which Ebbinghaus based his doctorate, did suggest that higher mental processes were hidden from view, which may have spurred Ebbinghaus to attempt to prove otherwise.

Von Hippel Lindau patients may also develop these tumors.

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 Kressenstein's satisfaction that the garrison could withstand any assault may have had something to do with its remoteness.

Other health problems may include degenerative myelopathy, hip dysplasia, and Von Willebrand's disease if their parents suffered from the same problems.

Changing from " right to wrong " may be more painful and memorable ( Von Restorff effect ), but it is probably a good idea to change an answer after additional reflection indicates that a better choice could be made.

The battle had no effect on the blockade, however, it may be viewed as a tactical Danish success since Prussian side had to withdraw and and Von Jachmann's intent of damaging the blockading ships through the use of gunboats, failed.

Von Seeckt reveals that there may have been a direct connection to the development of the first atomic bomb and an Airlia artifact that was found in the bowels of the Great Pyramid of Giza.

Von Manstein put his own losses at 24, 000, a claim that may seem low.

Von Kármán ( crater ) may refer to:

Von Meck's second daughter Alexandra may have told her of his sexual preferences at the outset of her relationship with him.

Some Egyptologists, such as Von Beckerath, in his book Chronology of the Egyptian Pharaohs, speculate that Hatshepsut may have celebrated her first Sed jubilee to mark the passing of 30 years from the death of her father, Thutmose I, from whom she derived all of her legitimacy to rule Egypt.

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.

Luther felt compelled to confess to Von Staupitz everything sinful the young man may have ever done.

Among them may be mentioned his editions of König Laurin ( 1859 ), of the legend, Von den heyligen drei Kiinigen ( 1855 ); Sagen aus Tirol ( 1850, 2nd ed.

Special mention may be made of Frau Holde ( 1881 ), Spielmannslieder ( 1882 ), Von der Landstraße ( 1882 ), Thüringer Lieder ( 1891 ) and his prose, Sommermärchen (" Summer legends ", 1881 ).

This may be more intuitive in the phase space, instead of Hilbert space, representation, where the Von Neumann entropy amounts to minus the expected value of

Von Sternberg may refer to: