Posted by: **holdenlee** | January 27, 2014

## Solving an inequality with entropy

The following is Problem 5 from IMO 1992:

Let be a finite subset of Euclidean space consisting of points with integer coordinates. Let be the projections of onto the , , planes, respectively. Prove that

In this note, I’ll talk about how to solve this inequality using the idea of entropy. (source code)

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Cool notes!

Typo on page 4? 2 lg|V| = H(P), scratch the 2.

By:

mou53on January 29, 2014at 8:58 pm

Thanks! I’ve fixed it.

By:

holdenleeon January 30, 2014at 5:32 am