Name: The problem in Good Will Hunting - Numberphile
Uploaded: 2014-10-29T08:48:32.000Z
Duration: 4 min 54 s
Description: Thousands of YouTube videos with English-Chinese subtitles! Now you can learn to understand native speakers, expand your vocabulary, and improve your pronunciation...

DR. JAMES GRIME: Yeah, but like all mathematicians, he's

I guess the choice of maths was arbitrary.

They wanted to do a film about a troubled genius.

And originally they were going to do physics genius.

And then they were advised to pick a mathematical genius

because it might work better with the script.

Should we talk about what they did in the film, the maths?

DR. JAMES GRIME: All right, so we'll talk about that first.

Near the beginning of the film, the MIT professor sets

I put it on the blackboard in the corridor, and who can

I'm going to say the problem that he gave the students.

It might sound like Greek to you, because

And it's a problem we can all do at home.

So the problem is, draw all homeomorphically irreducible

Instead of that, they are networks of dots and lines.

And what's not allowed, what is banned is

This has a cycle in it, and cycles are banned.

But those two pictures would count as the same thing.

Here this time what is banned is something like this.

10 dots, how many ways are there to do it?

I can tell you, there are 10 ways to do it.

What I thought might be fun is if I did a couple of them, and

maybe leave some for people to try and work

DR. JAMES GRIME: You want to see all of them?

So if you can do that in less than two years, then you're

Or if you prefer, these are all the trees of size 10.

Or this is a spider with nine legs and that's a guy with a

But the problem isn't the important thing.

What I really would like to talk about is who was the real

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The problem in Good Will Hunting - Numberphile

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film

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