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Von Neumann wrote the first array-sorting program ( merge sort ) in 1945, during the building of the first stored-program computer .< sup > p.

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## Some Related Sentences

Von and Neumann

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**.**
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**.**
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**.**
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 ).
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__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

**.**

Von and 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**.**__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

**.**

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 ).
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__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**.**0.508 seconds.