Showing posts with label mathematics. Show all posts
Showing posts with label mathematics. Show all posts

"Every natural number can be represented as the sum of four squares." - fact

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"Every natural number can be represented as the sum of four squares." - fact
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"Suppose there is a function in the Eulerian form and suppose that all or an infinity of points are exponential singularities, and also suppose that at these points the asymptotic form closes as neatly as in the cases of (A) and (B). The question is: Is the function taken the sum of two functions one of which is an ordinary θ-function and the other a (trivial) function which is O(1) at all the points e2mπi/n? ... When it is not so, I call the function a Mock θ-function." - Srinivasa Ramanujan

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"Suppose there is a function in the Eulerian form and suppose that all or an infinity of points are exponential singularities, and also suppose that at these points the asymptotic form closes as neatly as in the cases of (A) and (B). The question is: Is the function taken the sum of two functions one of which is an ordinary θ-function and the other a (trivial) function which is O(1) at all the points e2mπi/n? ... When it is not so, I call the function a Mock θ-function." - Srinivasa Ramanujan
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"0.999... = 1" - God

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"0.999... = 1" - God
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"The word 'topology' is like asking, 'what happens to it when you play with it?'." - Link Starbureiy

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"The word 'topology' is like asking, 'what happens to it when you play with it?'." - Link Starbureiy
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"A gambler with a finite amount of money will eventually lose when playing a fair game against a bank with an infinite amount of money. The gambler's money will perform a random walk, and it will reach zero at some point, and the game will be over." - Gambler's Ruin

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"A gambler with a finite amount of money will eventually lose when playing a fair game against a bank with an infinite amount of money. The gambler's money will perform a random walk, and it will reach zero at some point, and the game will be over." - Gambler's Ruin
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"1,111,111 x 1,111,111 = 1,234,567,654,321" - God

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"1,111,111 x 1,111,111 = 1,234,567,654,321" - God
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