However, Pi is much more than that.

learning algorithms, if you're able to take advantage of these

Further down, you start getting into pre algebra and early algebra.

Further down, you start getting into pre algebra and early algebra.

A Computer Algebra System

Maxima Algebra System

In contrast, using a good numerical linear algebra library in

Ancient Greek Numbers

What I wanna do in this video is think about the origins of Algebra, the origins of Algebra.

Algebra is a branch of mathematics.

The obvious question that you're probably asking is, hey

Again these, these are matrices. Now, we wanna solve for B.

Tarush, which is this, was ten times older than Arman.

This is the problem that we face, due to the doubling caused by Exponential Growth.

Algebra is a branch of mathematics.

And, and I agree with you right now.

You really don't understand what you're doing and it really comes out of a little bit of algebra.

And on the right hand side is a proposed mathematical surrogate of a fast algorithm.

So let's see if we can simplify this a little bit.

Now, the next thing you'll see when you start discussing

I don't know. I failed algebra.

Exponential growth, that's the key here.

These functions are listed in the following table.

An interface to the Maxima Computer Algebra System

Let's go to something else.

Now, let's see what we can do.

It's an ancient number system Hang Zhou.

Numbers written in an ancient Chinese dialect.

Burning lots of midnight oil.

We're just going to have to break out some algebra or let s can do here.

Where the function is evaluated

They weren't using the same ways of representing the numbers.

And it seems like we've done the hard part.

Math, differential equations.

And so x could be equal to 8 or x could be equal to 2.

Her algebra's hopeless.

And where this is sitting in the playlist you're not expected to know the algebra.

But it turns out that for some learning problems, what you really want is not to use, like, three or five features.

With that we already solved the problem.

First they don't grow.

All right. So first we need to figure out the slope.

I don't have my calculator in front of me.

Well, let's go through 1 possible answer together.

It's equal to some function of x and y.

Octaves highly optimized numerical