B goes straight up and down, so we can add up arbitrary multiples of b to that.

It could be 1 2, it could be 10.

I mean, we don't know what they are.

We said this could be any constant and this could be any constant.

And, you know, we could have some base a.

And the way I want you to get there is through a programming exercise.

Now our domain is the xy plane.

We could say, plus c, but just so that we can simplify it a

Let's say I have this bizarre looking function.

I don't know what that is.

Before we said when f of x is equal to x squared that x is just any real number.

Any

For any given price, it's going to lower the quantity demanded.

I think you see a pattern here.

But we didn't even know what it was, we haven't solved for it, so we can still write c.

If we want to say there's no dirt in any location, it's a little bit more complicated.

And what we calculated here is just the average slope across this change in time.

This right here is e to the minus st times f of t.

That is intentional.

Then you won't mind coming with me

Random engine

Random colors

Random Lamp Style

Any files

Any kind of value

Jeeves, Mr. Bickersteth is still up the pole.

Any raccoon.

Actually let's do something else just to clean it up a

We could make the ddmin even more generic by also passing the test function as a parameter.

let's call them k's.

SQL database, as we've been talking about.

But once again, c is an arbitrary constant.

I will give you data and you will plot those data and answer simple questions.

But imagine if it was, you know, an n by n by n cube.

Then we return it.

You get the point

I mean, we could put it from minus infinity to infinity, it doesn't matter.

Where the water is turning into vapor, but it's not getting any hotter.

Well this guy is just the dot product of this with itself.

And the second reason is memory.

Now compare the Phase to Ground values against the Phase to Phase values

Six random colors

Two random colors

Random text alignment

anything