A very simple equation.

Information technology grows in an exponential manner.

It's a partial differential equation.

So the equation is conceptual.

And that's exponential growth through five different paradigms.

But this has progressed at an exponential pace.

I put 49 famous computers on this logarithmic graph by the way, a straight line on a logarithmic graph is exponential growth that's another exponential.

It's been very productive, that equation.

Ultimately, we are dealing here with an equation where all the factors are known in other words, an equation without unknowns.

And that's a very profound explosion of exponential growth.

The universe then underwent an exponential expansion called inflation.

So let me stretch out that equation.

Let's go back and visit our equation.

It's pretty remarkable how smooth an exponential process that is.

There is a big difference between linear and exponential growth.

Maybe it kind of didn't stay on this exponential progression.

But this part of the equation I didn't really get, and I don't think my physicians really get this part of the equation.

And when he looked at that equation, it was none other than the equation that scientists had long known to describe the electromagnetic force.

And that changes the equation slightly, doesn't it?

Mathematically, this is expressed by the following equation

And you can see here that there's an exponential Great Divergence.

The Great Depression made not a dent in this exponential progression.

So let's see now how exponential technologies are taking health care.

So here's the sort of equation we're looking at.

It's called the standard model beautifully simple mathematical equation.

But there's an extra symbol in this equation H.

And I can put it in this simple equation.

All of those things are part of that equation.

Numbers, however, were only one part of the equation.

There are remarkably smooth exponential curves that govern price performance, capacity, bandwidth.

My main message is that progress in technology is exponential, not linear.

But the pace of exponential growth is really what describes information technologies.

At least the exponential growth of information technology capability will continue unabated.

What I'd like to talk about today is understanding these exponential technologies.

But I think, as integration of exponential technologies, this is the example.

Hey, sir, the function on the blackboard is not exponential, but trigonometric.

There has been an exponential growth in secondary, higher and university education.

And then we'll know the whole equation for the line.

There's a basic equation that we can't get away from.

Setup, step, now we get exponential growth and we get a leveling off.

The exponential growth of computing started decades before Gordon Moore was even born.

And that happiness is a whole other end of the equation.

This is the only equation in the talk by the way.

We see that as an equation that equals violence against women.

And on that basis, I've suggested a different kind of equation.