Von Neumann was reportedly capable to memorize the pages of phone directories. He entertained good friends by asking them to randomly connect with out website page quantities; he then recited the names, addresses and numbers therein.
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Lots of the exact same entropy measures in classical info theory can also be generalized to your quantum scenario, including Holevo entropy and conditional quantum entropy. Quantum mutual data[edit]
The in depth proposal for just a physical non-Organic self-replicating technique was initially set forward in lectures von Neumann sent in 1948 and 1949, when he 1st only proposed a kinematic self-reproducing automaton.
During a televised hearing, Feynman shown that the fabric used in the shuttle's O-rings grew to become fewer resilient in cold weather conditions by compressing a sample of the material in the clamp and immersing it in ice-cold water.
Returning to Los Alamos, Feynman was place in charge of the team to blame for the theoretical work and calculations around the proposed uranium hydride bomb, which in the long run proved to be infeasible.[fifty six][66] He click now was sought out by physicist Niels Bohr for just one-on-a person conversations. He later on uncovered The key reason why: a lot of the other physicists have been a lot of in awe of Bohr to argue with him.
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Von Neumann created fundamental contributions to mathematical studies. In 1941, he derived the precise distribution of your ratio with the necessarily mean sq. of successive variations on the sample variance for independent and identically normally distributed variables.
1 time he admitted to Herman Goldstine that he experienced no facility in any respect in topology and he was in no way snug with it, with Goldstine later bringing this up when evaluating him to Hermann Weyl, whom he believed was deeper and broader than von Neumann.
Halmos recounts a story informed by Nicholas Metropolis, concerning the velocity of von Neumann's calculations, when any person questioned von Neumann to resolve the popular fly puzzle:[451]
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[270] Von Neumann's product of an growing economy viewed as the matrix pencil A − λB with nonnegative matrices A and B; von Neumann sought chance vectors p and q and also a good variety λ that would address the complementarity equation