ELI5: Explain Like I'm 5

Ursescu theorem

Okay, so there is something called the Ursescu Theorem, which is a special math rule that helps people solve certain math problems.

Imagine you have a big square, and you want to color each of the little squares inside the big square either black or white. But you want to make sure that no two little squares that are next to each other have the same color.

Now, this might seem hard to do, but the Ursescu Theorem tells us that it can be done as long as the number of little squares is an odd number.

Let's say you have 9 little squares inside the big square. That's an odd number, so we can use the Ursescu Theorem to say that we can color them all in a way that no two little squares next to each other have the same color.

But if we had 8 little squares, that's an even number, and the Ursescu Theorem wouldn't work. We wouldn't be able to color all of the little squares in a way that follows the rule.

So, the Ursescu Theorem helps us solve certain math problems involving patterns and odd numbers.