Then I want to make a new finite state machine that accepts ba ba, ba ba, ba ba, doublings of the first finite state machine.

BA THUD squish

BA It's interesting.

Ba Ria Vung Tau

Ba kka ya ro!

B times a, plus ba.

Thank you. (BA Thank you.) (Applause)

All right, so we have ba .

This is a little hard to get a feeling for but let's imagine my finite state machine A accepted ba ba ba, that sort of thing.

Now, the BA edge is already in there, but the BC edge is not.

Think of that guy, that ba that guy.

In particular, side DC corresponds to side BA side DC on this bottom triangle corresponds to side BA on the top triangle

Do you worship Ba al and abandon the Best Creator.

The Ba ila built this village about 400 meters in diameter.

And let's let B equal A transpose and so BA transpose like so.

Then finally down here at the end optimization_ok of AB implies optimization_ok of BA.

So, we could say angle A we say BA, let's call it BAF, angle BAF

Let's say we have the language ba that Wes likes to use in the examples.

Plus 2a plus bx, that's those two terms. Plus ba is equal to this thing up here.

Let's change G2 so that instead of ba it's fa , so we've got fa, faaa, and faa.

This finite state machine accepts the same language as our ba, baa, baaa regular expression from above.

But now kids with degrees are often heading home to carry on playing video games, because you need an MA where the previous job required a BA, and now you need a PhD for the other.

Is multiplying two matrices, is AB that's just means we're multiplying A and B is that the same thing as BA?

So, we get DC is going to be equal to BA and that's because they are corresponding sides of congruent triangles

And I rang Sir Bob Ayling, who was CEO of BA at the time, and said, Mate, we've got this invitation.

b a . this plus means one or more copies of a's, yielding words like ba, baa, baaa, and eventually yielding my sheep.

Because we know that BA or as to say we know that AB is equal to AC that was given and so we know that EB

Well we know that the length of BE is equal to the length of BA minus AE or I could just say AB I could that's how

Where do we go now? now now now now now now now

Now, now, now.

The reason that this is important is that if we have this rule or can rewrite Q in this form, we're back to the ba rule that we had originally.

Here is a grammar that accepts strings that spell out ba different length of a, 3 a's and this can be possibly an infinite number of a's that follow the b.

There, there, there, there. Now, now, now, now.

When, when, when? Now, now, now!

Now, now, now. Just calm down.

Now, even now?

Now, hush now.

Now, Tank, now!

Now, wait a minute. Now Now Now, you just wait.

Oh, now, now, Ed.

Now, now, that'll do.

Cross now. Cross now.

Now... Now see here!

Now, now, Your Highness.

Vote now! Vote now!