I'm gonna count down from five,

I'm gonna count down from five.

Can you count in French?

And now, I'll count to three. I mean, it still looks very orderly to me.

So one of them has to be positive, one of them has to be negative.

Can you count to ten in Chinese?

We want to go through the elements in the original list in reverse order.

I'm going to count backwards from five.

Well, the way I think of it is it's kind of a function of functions.

So again you set up a table and count in how many runs the function f return the value that was less than zero.

So the guy in the back, what he does is he counts the number of green or purple hats.

I'm counting the number of people.

I'm counting how many people there are.

And how did I know 4 0's?

In the inner loop we print 3 times.

So let's start with, what I would say, is a fairly straightforward example.

I'm counting how many people there are.

I'm going to count backwards from five... and when I'm done, we'll all be asleep.

Count from one to ten.

Count from one to a hundred.

I'll eat this.

Maybe that messes it up.

Notice what happens if we use that as our formula, we're going to count this edge, as it goes from this node to this node.

So the easy way to think about is, if you have a decimal, if there is a decimal anywhere in your number, count them.

The number of victims is estimated at several hundred thousand.

Hey farm boy, maybe you can't count.

And if I did that, you would proceed to just count all of the lemons.

This number, this function, is not defined if h is less than 0.

I'm gonna make it count, all right.

In the dynamic trace, we can now, again, follow back the dependency.

One way we can add an edge is inside of some other region, and let's look what happens in that case.

So you go to the first guy right here.

What I'm shading here in yellow is 1 square meter.

So clearly, over here, there's a decimal in the number so you count the trailing zeros these are adding to the precision.

You want me to stop calling and count?

But this guy might just see, OK how many green hats are there, and how many purple hats are there?

He says, Nice talk. And I said, Thank you.

And we already have a common denominator, so we can just add the fractions.

For example, if we want to find the phi of 8, we look at all values from 1 to 8, and then we count how many integers 8 does not share a factor greater than 1 with.

Well, it could be less than 7 and 1 2 and greater than 0, or equal to 0.

Well, we just, it's a constant times x.

Remember, this might look like a function or some variable.

That isn't really in our jurisdiction. We'll see what we can do.

Determine whether the following numbers are prime, composite, or neither.

A number is prime if it is a natural number for example 1, 2 or 3 (the counting numbers starting at 1) or you could also say the positive integers it is a natural number divisible by exactly two natural numbers itself and 1.