## Paul Simon’s Tune

Posted by guptaradhesh on October 5, 2010

### Paul Simon’s Tune

One of the questions I learned in my algorithms assignment talked about Paul Simon’s tune; as in, given a mathematical equation, which Paul Simon’s tune does it represent. Surely an intersting problem. One might think of going through all songs of nowhere heard Paul Simon.

Lately realised, this tune esp. the lyrics are simply awesome. The meaning is so philosophical, practial and yet so mathematical. It says: “*One man’s ceiling is another man’s floor*”

Mathematically written as, ∀x∃y⌈x⌉ = ⌊y⌋

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