But if you, when we talk about, oh we'll pee in a moment, the instance in class variables of a class, those actually get default values of nil until their assigned.

What is b? b is minus 1, right?

And so what is that?

And in this situation, this would get you, well, one half, well, 1 times one half is just one half, times one half is 1 4th, times one half is 1 8th, times one half is 1 over 16.

I'm going to repeat this process all the way through.

So the first expression is 0 and the second one is going to be 0 as well.

That's not too hard.

Or I could say, here are all the scenarios where I roll a 1 on the second die.

So 1 plus 1 plus 1 plus 1 plus 1 plus 1 (let's see... that's 1, 2, 3, 4, 5, 6) plus 1 plus 1 is equal to 8.

In particular, let's start with the variance.

In the example I've chosen here are the measurements of 5., 6., 7., 9., and 10.

Well I get 1! This right here is 1

It's 2 times 1, minus 1 times 1.

Plus or minus the square root of b squared.

It's what?

The answer is 2 if we multiply the data point the first expression and the second expression get 1 1 which is 1, 0, and 1 again that adds up to 2.

Carry the one.

And we would do just like before, we take the value from above, plus the two left ones.

Well, we'd better not make it 1 over N plus 1, when N is zero.

So what do you do?

If you divide that by a thousand, a picometer, so a picometer is one thousand billionth of a meter, or you could say a trillionth of a meter.

So we cross out row 2, column 3.

It's a little messy.

That means we will not perform this optimization.

So you get fifty five.

Because when it's zero, negative 1 to zero is 1.

Is the covariance large, medium, or small?

We know it's 1 3 cup.

So it's 0 times 1, minus 1 times 1.

And different signs gets you a negative result. So that would be either, let's say a 1 times 1 is equal to 1, or if I said negative 1 times negative 1 is equal to positive 1 as well.

Then plus p times what's 1 minus p squared?

The Bag of Words representation is the following.

We multiply these 2 things.

Twelve minus five is seven.

Eight minus three is five.

Whenever you're ready.

It's b squared.

And what are three ones?

Let's go run it and see.

So I could have the matrix 1.

So let's try negative one times negative one.

To see this, we know that the probability of tails is 0.

2 times negative 1.

So we get if I haven't made any careless mistakes minus 1, minus 1, plus 2, minus 1, 0, 1, 2, 1, minus 2.

So, for example, the inverse of two is a half, and the product of two and a half is one.