60 5 plus 3 5 is 63 5, so these two things are the same thing.

This is a typo there.

And so, when I talk about a fair coin, I mean that it has an equal chance of landing on one side or another.

So one way to think about it is these two need to be equivalent fractions.

Hi. I'm Peter Norvig, and I'll be teaching the Design of Computer Programs or CS212.

You could even view this as, this is the same thing as multiplying 1 4 times 8x plus 12.

Well this is the exact same equation.

In the late 50s,

And there is a lake scene in the south polar region of Titan.

And then we also know the angle ABF, ABF is equal to angle ACE or you could see their measures are equal or this just implies that they are congruent so they have the same measures

times x.

This matches with our original function definition.

Damn, man. You know Yakuza? The Mafia?

This desk is as good as that one.

Oh, and they're just as unhappy about last night as I am.

Inside of the parentheses you have a 1, just like x is equal to 1 over here, up here.

Think of it as a regulated public utility.

If we subtract 4 from both sides of this equation to saying that x is less than minus 4.

Which is represents by zero.

This equation is the same thing as dy over dx is equal to this.

And incubator costs 2,000 dollars.

So all of these evaluate to 35, just so you see that they're the same thing.

And it asks us what is the solution to the inequality x minus 5 is greater than 14?

What I want is that delta 0 is equal to, you know, this first box also green up above and indeed, you might be able to convince yourself that delta 0 is this 1 of m, sum of, you know, h of x. xi minus yi times xi0.

...is equal value of six. Six is the solution.

Then 7 times x, what is this?

If test of the first parameter is false, we return that parameter x.

This is equal to L, so this whole thing simplifies to k times... ...k times L

Well, we've already figured out if you put food into Sal, Sal of food is equal to math videos.

So let's do that over here. x to the negative 3 power, that is equal to this (let me do this in a different color). x to the negative 3rd power, that's the exact same thing as one over x to the third power, by definition

So what happens when x plus 4 is less than 0?

like a less than sign, and a dash, that's actually the, the equivalent, sorry.

So one way we can view this, this is the same thing, this is equal to, negative 1 3 times 6z minus 2.

What you guys are doing, and you girls are doing, is really at a quality that I would expect my best Standford students to do.

This is an equation

This is the computer programming equivalent of a natural language paradox

I'm one of them.

But if we want to subtract it from the right hand side, we also have to subtract it from the left hand side because, this is an equation.

So to make them the same, I also have to add the extra condition that x cannot equal negative 3.

And we could use that same logic right over here to say that if this is 110 degrees, then this is also 110 degrees.

So we're multiplying by 5 4 to get from 8 to 10.

Hits with the force of a 20 millimeter cannon.

Type A 1, 2 semicolon 3, 4, semicolon, 5, 6, like so.

But when we took the partial derivative of this expression, which we could call M with respect to y, it was different than the partial derivative of this expression, which is N in the exact differential equations world.

That's visible to our eye, but it's the equivalent of infrared in the deep sea.