That is, to have a part of a string that's optional.

Overwrite default numeric keys.

This time we're not going to paint blue paint on their forehead.

We love back of envelope calculations.

Let's practice a bit more with regular expressions.

I could draw the number line and maybe that's 16 maybe that's 17.

This works, as in you got a spiral of squares, so you write down the numbers.

They were called nimbers by John Conway, because, as you may know, they are useful in analyzing a game of Nim.

Writes given string to a file.

Similar to how we often put a 123,456.

So now it's great because now we have this texture, and we can add numbers to it as well.

Let's say that this is the number line, right here.

And to see what our options are here in terms of regrouping I'm going to rewrite both of these numbers.

let's create our nanodistance.

Here we have an example of a token definition that does just that.

In a way 50 percent of performance is good, but it's not so good when we compare to what we can do in handwriting recognition.

Let's say we have this number 542.555.

There's actually thousands of books written about pi, so it's not like I don't know if there's thousands, I'm exaggerating, but you could write books about this number.

And just like that, all my numbers in each column, if I were to draw columns like this, divide them up.

I don't have my calculator in front of me.

Well, what we do is, we literally just add up the numbers.

All we do is identify that type.

Naive Bayes can also be applied to the problem of hand written digits recognition.

11 minus 7 is 4.

If numeric keys enabled, you can overwrite the default settings.

So 4 times 200 is 800.

We write out the keyword function.

And as we do more numbers, and especially as you start to see some more engineering applications, hopefully you'll realize the value of imaginary numbers.

Now we want the value of the number token to be the number, the integer, that it represents.

I'm printing out the current value of test_count that is, the number of the test that is being executed and printing out the string that we're testing, and I'm printing out its current length.

For example, here I've defined a new grammar that accepts the word prisoner followed by a list of numbers.

For example, over here they regular that your birth date be specified as two digits, two more digits, and four more digits corresponding the month, the day, or the year.

Then I can ask the question, what is the probability that X2 comes up heads regardless, even though X1 was tails?

So that's equal to thirty five girls.

And what Bayes' rule says is that I should multiply the numbers on the red by the numbers on the green to get the numbers of the yellow, which have the ellipses, and that's my belief.

Hello.

Whitespace is just a more formal name for some series of spaces or tabs.

There's no trick to it.

It's a number line.

Graph x is less than 4.

So, let's draw ourselves a numberline overhere.

So if this is the number line right there, that is 0, and we draw some points, let's say that this is 7, that is 8, that is negative 7, that is negative 8.

This is your branch for the consideration you have no cancer.

And the way we're going to do that is take the expand function that we wrote at the end of the lecture unit.

Returns number of chars in the string.