Paul Mecurio

But a meaningful chunk of its value is forced to line up in some order, right?

Isn't that what this problem says on some level?

Oh, yeah.

We didn't say what the problem was.

And it's no matter how scrambled the list is, you can pick this up decreasing and increasing order no matter how scrambled it is, right?

So it's like this chaos in this order in this chaos, right?

It's like a crazy group chat, but there's only one, always one guy making sense a little bit.

Well, I have a beautiful mind.

Yes, and they're always terrific.

And we'll jump right in here.

This is JKW.

Greetings, Professor Tao and Dr. Tyson.

James from Norfolk, England here.

My question is rather simple.

How often are discoveries made in pure mathematics, which would appear to have no practical application, not all the time,

outside the realm of pure mathematics, but consequently, subsequently rather, find very useful applications in other fields.

What is one of the most surprising examples of this?

I love that.

I mean, it's really like, it's like you're creating, discovering things that you don't think you'll ever use.

It's like either you're a genius or super anal retentive.