Probability

A Sliver of Area: Sum vs. Radius in the Unit Square

Difficulty
xxx \(x\) xxx \(x\) xx xxxxxxxxxxx xxx xxxxxxxxx xxxxxxxxxxx xx \([-x,x]\). xxxxx xx xxx xxxxxx xxxxx \((x,x)\) xxxxxxx xxxxxxxxx xx xxx xxxxxx \([-x,x]^x\). xxxx xx xxx xxxxxxxxxxx \(x\) xxxx xxxx xxxxxxxxxx xxxx xxxxxxxxxxxxxx: \(x+x<x\) xxx \(x^x+x^x>x\)?

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