Ellis–Numakura lemma
Okay kiddo, so imagine you have a bunch of toys that you want to put in your toy box. But there's a rule that says you can only fit a certain number of toys in the box.
Now, let's say you have some really big toys and some really small toys. If you try to shove all the big toys in first, you might run out of space before you can fit all the small toys in.
But the Ellis-Numakura Lemma tells us that we can rearrange the order in which we put the toys in the box to make sure we can fit them all in.
So instead of putting all the big toys in first, we could alternate between putting big toys and small toys in. That way, we can make sure we have enough room for everything.
This same idea applies in math, where instead of toys we have mathematical objects that have to fit into a certain space. By rearranging the order in which we put them in, we can make sure everything fits. The Ellis-Numakura Lemma helps us figure out how to do that.
Now, let's say you have some really big toys and some really small toys. If you try to shove all the big toys in first, you might run out of space before you can fit all the small toys in.
But the Ellis-Numakura Lemma tells us that we can rearrange the order in which we put the toys in the box to make sure we can fit them all in.
So instead of putting all the big toys in first, we could alternate between putting big toys and small toys in. That way, we can make sure we have enough room for everything.
This same idea applies in math, where instead of toys we have mathematical objects that have to fit into a certain space. By rearranging the order in which we put them in, we can make sure everything fits. The Ellis-Numakura Lemma helps us figure out how to do that.