driven by an unknown force that enables the brain to function.

let's make it a trigonometric function.

I'll make it a fairly straightforward function

So that would not make it a function.

Our brain is a brilliant device which can make predictions about the future.

So we'll make the value under the curve as a function of y.

Brain?

Brain...

Brain!

And the brain is the organ we use to study the brain.

And that'll make the computation at least in my brain, it's going to make it a little bit easier.

I believe movement is the most important function of the brain don't let anyone tell you that it's not true.

It's the brain drain.

it's the human brain.

Anything the brain controls,

And not only that, the brain is profoundly asymmetric. Drawing of the brain, Yakovlevian torque brain viewed from below

The second function.

So if the function is continuous, continuous, continuous, and then it jumps, that disconnect, that would make this function discontinuous, or it would not be a continuous function.

Brain magic. What's brain magic all about?

Maybe I have a function let me make it like this.

Brain surgery?!

Brain cells ?

Hi, brain.

Thanks, brain.

Brain, look.

His brain?

Government brain.

Brain malfunctions all the time.

And here's inside the brain.

We're seeing the baby brain.

And I want to make sure that your brain does it both ways.

Such that this inverse function, the composition of the inverse with the function, is equal to the identity function.

And that the composition of the function with the inverse function is equal to the identity function on y.

There is the cosine function, and there is the tangent function.

Now, in order to make this a valid function, I have to restrict the range.