Let me put the Laplace transform of and I'm also going to the sides.

That's equivalent to the absolute value for 5.

Here I've taken our expression grammar from before and updated it with a new rewrite rule.

Do you want to replace it?

Transform symlinks

This expression is just another way of writing this expression.

Now, since we want to apply this to an integral, maybe

And they're telling us that x is equal to 1, y is equal to negative 2, and z is equal to 4.

And if you replace this expression everywhere, where you see an x, right?

Everywhere that we saw an x, we will now replace it with a z.

So it's f of 0 is 1.

So C is equal to 6.

Supersede

What that means because there's a little triangle here and we're trying see whether or not it's 3 colorable.

So this is the same thing as 9.1 times 3.2, and then I'm going to re associate, so I'm going to do these first.

This is equal to 3 times 5, 3 times 5.

That means the heap property isn't satisfied but all we have to do to fix it is we just swap the value in the left child and i.

But we can figure out what h of 10 is pretty easily.

And now, if we wanted this in terms of x.

Well you go back to the definition.

Or, we could say, let me just write it the other way.

Simple game quest.

They're giving us y squared minus x, whole thing squared. x is equal to 2 and y is equal to 1.

So the fourth element will now be this text

The chain rule, derivative of cosine is minus sign.

There's no trick to it.

QUlZ But does it work? Which of the following will our optimizer do? We'll definitely replace A times 1 with A. We wrote the code for that.

What do I produce?

Maybe one, two, three, four for welcome to my webpage.

Using what I described in the previous slide what we're just talking about, you can actually patch this up by moving the 50 around doing some various swaps.

And we got g of 3 equals 7.

There's just some bits that are band tailed pigeon.

Well, let's do the same idea.

The mean is now a vector with 1 element for each of the variance.

Suggested Words

Text for which you want to substitute

Transform of this function, but everywhere where you had an s, you replace it with an s minus this a.

And now we can use this, which we proved several videos ago, to resubstitute it and get it in terms of the Laplace

You're looking at IP taking over from some of the traditional telecom standards.

So it converts it to an integer.

Well, this is actually what we're headed towards world machines.

Only transform unsafe symlinks

In each square, we calculate the average color.

We only have 1 replacement rule for subject.

The given was replaced by various aspects of intent, by various designs, by various gods.