Sunday, 6 April 2014

soft question - Colloquial catchy statements encoding serious mathematics

"If you are walking between two policemen going to the same station, you will end up there, too."



This encodes the familiar Squeeze Theorem: If $a_n,b_n, c_n$ are sequences of real numbers such that $a_n leq b_n leq c_n$ and $lim_{n to infty}a_n =lim_{n to infty} c_n$, then $lim_{n to infty}a_n =lim_{n to infty} c_n= lim_{n to infty}b_n$.



I am not sure whether it counts as "serious mathematics", but this is how I learned it as a high school student in Communist-ruled Poland.

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