The quarterly growth of 1.2 means an annual growth rate of 4.8 .

A quarterly growth of 1.2 means an annual growth rate of 4.8 .

Maximum rate of growth

Minimum rate of growth

Even low growth rates produce large increases over time.

So China, I've already mentioned, beginning around 1978, around the time of the death of Mao, growth ten percent a year.

Now here's eight centuries of economic growth.

That's an epidermal growth rate.

The Japanese economy continued to grow by more than 5 annually.

You know if you look at the development in the West over 200 years, the average growth may have been about two percent.

That's what we're seeing across the bottom billion at the moment.

We really do have it going right that the continent is growing at rates that people had thought would not happen.

The growth rate of the Japanese economy will top 0.7 this year.

And you're going to pay a lower Price to Earnings ratio if the company isn't growing.

And that makes a huge difference.

Probability of success

Japan's inflation adjusted GNP growth rate was 5 .

They paid 100,000 for it.

Price increases explain the difference between the real and nominal growth rates.

Kill Percentage

If f(n) is in little o(g(n)), that's kind of like saying f(n) is strictly less than g(n).

If I keep expanding this, I get the following solution.

When annualized, the quarterly gain represents a 4 growth.

GNP increased at a seasonally adjusted annual rate of 4.5 in the fourth quarter.

The vertical axis is just percent per year of growth, zero percent a year, one percent a year, two percent a year.

He's got a good track record.

The right way to think about this is of all the terms in the sum here, you need to take the one with the fastest growth rate.

All the rest went to the top one percent.

India is already at two tons per year.

So let's look at this, let's look at a population where the probability of success we'll define success as 1 as having a probability of p, and the probability of failure, the probability of failure is 1 minus p.

So just to recapitulate some of the stuff we talked about in this unit, ultimately, we talked about various different kinds of graphs, various different kinds of growth rates, the whole notion of Big Theta and Big O notation to capture asymptotic growth rates and connecting these things up with various kinds of recurrence relations.

There ended up being kind of a nice correspondence between several different kinds of graphs, several different kinds of recurrence relations, and several different growth rates.

Over the last 30 years, in terms of the GDP growth rates,

In this case, we have five nodes and a total of ten edges.

like water, forests, soils and fish faster than they can be replenished.

And over the next 18 years have almost tripled.

You know, everything says, here's the growth rate of China, here's the growth rate of the U.S., here it goes straight line.

And we know that our variance is essentially the probability of success times the probability of failure.

Just how would you rate our chances, Doctor?

In 30 years of adolescent education, I have learned that the best way through these situations is candor.

This is something I call the 50 20 paradox.

I had never felt so proud to come from this community.

When India was growing at about three, 3.5 percent and the population was growing at two percent, its per capita income was doubling every 45 years.

We've had 28 percent per year compounded growth in dollars in information technology over the last 50 years.

Maybe it goes to 2 in 2010.