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* Ulam and von Neumann introduce the notion of cellular automata.<ref>Von Neumann, J., Theory of Self-Reproduiing Automata, Univ. of Illinois Press, Urbana, 1966.</ref>
* [[Manchester Small-Scale Experimental Machine#First programs|A routine for the Manchester Baby]] written to factor a large number (2^18), one of the first in [[computational number theory]].<ref>[http://curation.cs.manchester.ac.uk/digital60/www.digital60.org/birth/manchestercomputers/mark1/manchester.html The Manchester Mark 1.]</ref> The Manchester group would make several other breakthroughs in [[Mersenne primes|this area]].<ref>[http://curation.cs.manchester.ac.uk/digital60/www.digital60.org/about/glossary/notes.html#mersenne Miscellaneous Notes: Mersenne Primes.] [http://www.cs.manchester.ac.uk/Digital60/Digital 60 Manchester - 60 years of the Modern Computer]{{Dead link|date=July 2018 |bot=InternetArchiveBot |fix-attempted=no }}, [[University of Manchester|Manchester Uni.]] CS Curation website.</ref><ref>[http://news.bbc.co.uk/2/hi/technology/7465115.stm One tonne 'Baby' marks its birth: Dashing times.] By Jonathan Fildes, Science and technology reporter, BBC News.</ref>
* LU decomposition technique first discovered.
== 1950s ==
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