Gordan's lemma

Okay kiddo, let me tell you about Gordan's Lemma.

Imagine you have a box with a bunch of colorful balls in it. Each color represents a different group of balls. Now, let's say you wanted to separate these balls into two groups using a straight line that goes through the box.

Gordan's Lemma says that you can always find a straight line that separates the balls as long as there are not too many different colors in the box. If you only have a few colors, then there will always be a way to separate them with a straight line.

But, if you have too many colors, then it might not be possible to separate all of them with just one straight line. In this case, you would need to use multiple lines to separate all of the different colors.

So, in summary, Gordan's Lemma tells us that as long as there are not too many different groups, it's always possible to separate them with a straight line. Pretty cool, right?