The Prime Number Theoremgives an estimate of the number of primes up to an integern. The fartherout you go in the integers-in other words, the larger youchoose n-the more accurate the estimate becomes as a percentageof the true value. An asymptotic Jo nnula gives an estimateof the number of numbers below some arbitrarily largeinteger n that have a certain desired property. He andhis fellow Brits got a kick out of Erdos's HungariansoundingEnglish, in which "pineapple upside down cake"became "pinnayopp-play oopshiday dovn tsockay."Erdos shared Ramanujan's fondness for finding so-calledasymptotic formulas, of which the Prime Number Theoremis a famous example. Thetwo times Erdos would lecture in India, he'd have the feedonated to Ramanujan's widow, a woman he never met.And Hardy presumably liked hearing Erdos talk. 87Erdos liked hearing Hardy talk about Ramanuj an.
0 Comments
Leave a Reply. |