Do it mathematically correct.

This is mathematically almost impossible.

We express these things mathematically.

Doesn't that, like, mathematically make sense?

How can we describe this mathematically?

Doesn't that, like, mathematically make sense?

So to write this out mathematically,

How do we write this mathematically?

I'm not even writing it mathematically yet.

Show it to you mathematically instead of this

One, in terms of interpretation, and two, mathematically.

Understand where this correlation, coefficient, comes from, mathematically.

I'm gonna try to use the mathematically precise notation.

Here's the way the light field is expressed mathematically.

The equivalent of doing this mathematically is to say

And if we look at it mathematically, what happened here?

Another is that they're really clever. They're really pretty, mathematically.

So mathematically we'll do the exact same thing over here.

But what you've just done is in many respects mathematically impossible.

And since mathematically it's the only shape to always correct itself...

I mean, don't we, like, double our chances? I mean, mathematically.

What could we do mathematically in order to solve for the X

I've got kids who are mathematically and conversationally intimidated joining the conversation.

A, in fact, is more central, and this can be formalized mathematically.

Mathematically, this is, again, equivalent to Fourier decomposition, but on a sphere.

So when you do it mathematically here, the 3's cancel out.

We write them out mathematically, and we see they use very similar mathematics.

Many of the most successful scientists at work today are mathematically semi literate.

This is what we would write mathematically as 2 to the power 10.

And mathematically, what that does is, this black decision boundary has a larger distance.

And will do that a little more in depth mathematically in a few videos.

Don't worry about the units, seconds. It's just hear to make it mathematically consistent.

They actually did had problems like this. We were able to represent it mathematically.

Another reason to avoid frames per second is that they're difficult to work with mathematically.

Now I should argue this 1.96 trick isn't mathematically correct for very small sample sizes.

We started out, Chrissy and I and our contributors, doing the simple mathematically perfect models.

This is actually the hard part mathematically. We solved this. We gave an exact expression.

In the field of 3D computer graphics, you mathematically define objects, materials, lights, and a camera.

Maybe we can think about it visually, and then maybe we can think about it mathematically.

But the way we would write this mathematically, we would say this is 7 times 5.

So if you're not familiar, with these formulas mathematically, force yourself, to, try and work through them.

And this problem, you could actually look at it and figure it out, but let's do it mathematically.

Unfortunately, he died 10 years before Costas solved the problem of how you can mathematically create these structures.

For a scale matrix, we divide one by the original scale factors. Or to say it more mathematically.

What could we do mathematically to either one of these equations (but we will focus on this one)