Posted in Algebra, Combinatorics, geometry, probability by: admin

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20 May

Now generalize: cut the cube into nxnxn smaller cubes and ask the same question. The problem is not awfully difficult but needs some figuring out. Following the foregoing pattern, we eventually arrive at 1/n. But here is a delightful shortcut

Posted in A must see, Curiosity, probability, Simple math by: admin

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06 Feb

TweetGiven two fractions a/b and c/d, the mediant of the two is defined as the fraction (a + c)/(b + d). Many would point to the mediant fraction as a dangerous concept that is bound to confuse students who often quite innocently produce it adding up to fractions. However, the mediant has its uses and […]

Posted in Math in news, probability by: admin

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09 Nov

TweetAlbert Einstein's dictum "God does not play dice" is a concise expression of determinism - the belief that the past fully determines the future. Had it been possible to write down all the required equations and feasible to solve them, we would have had a complete picture of the future. Quantum mechanics recognized randomness as […]