I can't imagine.

When you're done with this, you arrive at a number that now combines the cancer hypothesis with the test result.

But one thing that's happened, a lot of people said, oh, Sal, you're making oversimplifying assumptions.

And then what's the derivative of y squared with respect to x?

We're assuming that the coin can't land on its edge and remain standing straight up.

Because it is a little bit of a game.

I'll assume it's just a function of x.

Along this wall, y is a constant, right?

Kathleen's idea,

Well what's this term going to do?

Again, what do you think could help us get the right answer this time?

So what I do is I figure out, well, given your assumptions

Who, tried to give the first solution to the shape from shading problem.

I have no need of that hypothesis.

Don't torture yourself with hypotheticals.

So he wasn't drunk...

So let's for a second, just pick a point on this distribution over here.

Because we'll see later in this video that to some degree, that assumption is one of the biggest drivers of assumption.

Property tax, same thing.

I have a normal coin.

Though I'm not implying you're correct in any of your assumptions.

What's it's going to do is to make a graph with n nodes if n is just 1, it returns a single node all by itself.

And in the previous videos, the constants all merged together.

The year after that it's 35.

Let's suppose it's true.

You can change it.

If this is our hypothesis, we now must devise an experiment to further refine this hypothesis.

That was just a kind of a what if conversation.

But maybe y is equal to e to some constant r, times x.

Let me illustrate this for you.

Right?

What we're going to imagine now is that someone has given us matrix.

So, what do we do now?

The picture of that looks like this where you have nodes arranged in a square.

This is our original y.

Okay, what assumptions did you make?

Seems the logical assumption.

'To begin with,' said the Cat, 'a dog's not mad.

If I can reset June's presentation to about 3 or 4 slides ago.

Uh oh, we loop forever.

Now imagine if I tell you, all those who are standing,

We hypothesized that these waves Could be used to communicate information.

So the probability of that happening is less than .01.

At the end of the day, you can always rig this number based on the assumptions you make.

So what I did in yellow, both this bright yellow and this