Once we start getting into the positive numbers, we just explode.

It's the medical data explosion that we're having right now.

There's 0 out here and then it grows as a straight

Information technology grows in an exponential manner.

So this new vector is going to look like this.

Add a Line

Gomes

Add a Half Line

And we're adding 3 to it.

We replaced x with x minus 5, but we shifted to the right.

Anywhere you go in the Sahel, you'll see this windscreen.

I see now a 15 over here for this maze where you have to go down,

Another thing you might wonder about is, does it work?

And let's say we have this other line over here.

Obviously, it's impossible to put a line through the data points over here.

Now we can see the guesses are more rational.

And if we were to graph it, let me draw the number line here.

So the cost per cupcake is a dollar, one dollar cost per cupcake.

It's always renewing and refreshing itself.

So how much do we have to go to from 150 to 225?

If you think about it on the number line, addition is increasing along the number line by that amount.

There is a big difference between linear and exponential growth.

My left hemisphere, our left hemisphere, is a very different place.

So here's a line that intersects both of them. Let me draw it a bit near than that.

We'll grow by six cities of 12 million people a year for the next 30 years.

And we're all concerned about energy and the environment.

And that is the result, directly, of being so successful at increasing the scale and volume of our production.

Let's call this line right over here line AB.

And so, for any given price point, the demand would increase.

So, income goes up, then that increases demand.

Projectively rotate with this half line

They do not scale quadratically, in fact, normally they scale exponetially with the dimensionality of the state space because you need exponentially many particles to fill up the state space.

While elsewhere, new ones appeared.

The world today has 6.8 billion people.

The company's profits soared.

The company's profits soared.

Exponential growth, that's the key here.

You look at art.

As before, there are two different lanes over here a left turn lane and a straight lane.

And so, on the number line, the solution set to that equation will look like this.

So right over here we have this two paralel lines.

Well, if you increase by 50, you get to 200, so we increased another 25.

like here in the Middle East and North Africa new infections are rising and so are deaths.

And it's not just computation.

We're seven billion people today heading towards at least nine, probably nine and a half before we're done.