The author's mode of expression is very concise.

Well, n is going to be the same thing as last time how many new people we've gotten, which is spread x n.

The virtue of binary is that it's the simplest possible way of representing numbers.

So it's going to be 0 comma some y intercept.

Compact

Brief

There's the easy way, and then there's the right way, right?

So this tends to be done numerically.

Nor can we talk about the relations between objects.

Because that's what this is about. I have to simplify this thing.

We know it's x minus 2, times x plus 7.

So around this point.

You could just factor this.

I need a concise explanation.

So let's see if we can do that.

'Cause I can give you the short...

This is really handy when we want to match one or more of something.

And it seems that there may be more succinct representations of a belief state, rather than to just list all the world states.

One way to do this is to go explicitly through all these 5 different cases from 0 to 4 and multiply in manually the miss or hit case.

This vertical bar it's as if we had written this same nonterminal (exp) one more time, and then another arrow expression goes to expression times expression.

How do we do this?

let me give you two countries.

Now you'll notice there's duplication of points 2 and 3 and 5 and 0 and we can save space and time by merging these.

The Gettysburg Address is a concise speech.

We express these things mathematically.

All right, look, just make it snappy.

Is there any way I could do that maybe just on the paper right here?

And I'm actually going to show you two ways to do this.

V by one.

Once we sorted the whole list, the first k elements of that sorted list are exactly the ones that we want.

We just say g equals sixty.

Now the easiest way to fall down in this, and not be real real, right, the easiest way not to be true to yourself is not to understand your heritage, and thereby repudiate that heritage.

Brevity is the soul of wit.

But my background

I need a concise explanation.

And that is the exact same result we got up here.

So essentially they just want us to solve this equation.

Then we moved on to the more powerful context free grammars, which are a concise notation for specifying some sets of strings.

Well, sure, it would ve.

So however you want to do it.

So all you do, you solve for x, and then you swap the y and the x, if you want to do it that way.

But meanwhile, let's measure the speed of sound!

If it seems too complicated, make it easy on yourself

So we'll see which way we get to.

(Applause)