Over here, I've drawn a different finite state machine, again with 3 states.

So the algorithm that we described would enumerate all of these strings and many more infinitely many more.

Enum

Enum...

Enumerations

Enumeration

Enum Literals

Enum Literal...

It's very well known. I'm not going to spend a lot of time on those.

Down here I've got some code to help us print it out.

Can you make a list of all the fractions? This might be hard, there are a lot of fractions!

Consider this grammar for balanced parenthesis.

Instead of enumerating just the strings, we're going to enumerate strings along with their derivation.

You want a list?

Well, I haven't told you yet, but I want to give you a little quiz and allow you to guess.

This is the wrong direction.

Recite the names of the members of the Tokugawa clan.

But in fact, some of the variables are non boolean, they have multiple values, and it turns out that representing this entire network and doing enumeration we'd have to sum over a quadrillion rows.

Enum Literals Settings

For example, if we have 30 characters in our string, then there'd be a billion possible segmentations to deal with.

Please raise your hand right now if you're willing to admit that all four of these are national problems.

Well, unsurprisingly, these generators are the trick we're going to use to enumerate a lot of strings in a concise manner.

A function like odds_only that uses yield to potentially return multiple answers is called a generator because you can use it to generate another list or another enumeration.

And it's not obvious what to put first, or how to be sure all of them are on the list.

Suppose I give you the input open, open, close, and we want to know if it's in the language of this grammar.

So what do I have here?

What we're going to do is simply exhaustively enumerate all the derivations for that grammar.

And then we can use inference to figure out the answer to questions like am I going to be late?

We'll just know it's a snail.

So there is no doubt opportunity here, and we can list many, many examples of transformative opportunities around the planet.

We've seen how to do enumeration to solve the inference problem on belief networks.

This inserting into an ordered list is a linear time process.

In the second procedure, apply converter, which will change a string according to the match and replacement.

I'd like to actually take a show of hands on balance, right now, are you for or against this?

Now, you'll notice that I've made more expressions in many of these cases, so I could go from here and start and expand it again and get a few more strings until eventually I'm full entirely of terminals.

This is another species of work that I do.

And we could have some formula, over those variables, to describe states.

The column's constraint is declared as NOT NULL.

The column's constraint is declared as NOT EMPTY.

The database on Google App Engine allows you to use integers or strings.

And so there's a different identity matrix for each dimension n and are a few examples.

It returns the output array with all the variables added to it.

Your goal is to define a procedure called udacify that takes as input a string and outputs a string that is an uppercase U followed by the input string.

Hold it up.

Now, if you recall, each layer is actually a large two dimensional grid of tile data.