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When I was in high school, I remember how The Plague by Albert Camus had made so much impression on me. Well, I have forgotten most of the plot, if not all, but I very much liked the last paragraph … Continue reading
Standard proof of infinitude of prime numbers (due to Euclid) goes as follows: Assume, to the contrary, that there were only finitely many primes, say are all of them. Then, consider the number . We ask whether is prime or … Continue reading
I don’t think I have seen shorter proof of CauchySchwarz Inequality than the following which immediately gives from which CS inequality follows. Source: Mathematics Magazine, Vol. 68, No. 2 (Apr., 1995), p. 97