And that's exponential growth through five different paradigms.

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

There is a big difference between linear and exponential growth.

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

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

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

And Moore's Law was not the first paradigm to bring exponential growth to computing.

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

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.

Exponential

So bird counts are indicating that we might be seeing up to exponential growth in their numbers.

Exponential function

But it's the nature of exponential growth that once it reaches the knee of the curve, it explodes.

Every time one paradigm ran out of steam, another paradigm came out of left field to continue the exponential growth.

If you really look at the power of exponential growth, you'll see that these things are pretty soon at hand.

They don't really know what exponential means, but this is exponential.

The amount of genetic data basically this shows that smooth exponential growth doubled every year, enabling the genome project to be completed.

And that was the end of the shrinking of vacuum tubes, but it was not the end of the exponential growth of computing.

That'll be the end of Moore's Law, but it won't be the end of the exponential growth of computing, because chips are flat.

We know the exponential function.

Growth

Growth.

If we come back to our exponential growth of computing, 1,000 dollars of computing is now somewhere between an insect and a mouse brain.

So the total running time is exponential. It's not worse than exponential. It's not great.

Write your answer using exponential notation.

Let's start with an exponential function.

Spike growth

Fueling growth.

producing growth.

Prime factorization, and they say exponential notation.

We'll worry about the exponential notation later.

Information technology grows in an exponential manner.

Well, you say, what's the exponential function?

Secondly, the new machine age is exponential.

That's called growth.

Growth was negative.

First, population growth.

Second, economic growth.

And it became ever clearer that economic growth doesn't automatically translate into social growth or human growth.

This is at an early stage, but you can show with the exponential growth of the amount of information about the brain and the exponential improvement in the resolution of brain scanning, we will succeed in reverse engineering the human brain by the 2020s.

log plot is an exponential increase in performance.

But this has progressed at an exponential pace.

We have the tools with this exponential technology.

But Moore's Law, which is very often identified with this exponential growth, is just one example of many, because it's basically a property of the evolutionary process of technology.

Maximum rate of growth