This is really just an exercise in algebra.

Let's see, this z plus 2 cancels out with this z plus 2.

8 is 2 to the third.

Let me erase some of this.

That crosses out. a squared minus a squared crosses out. a to the third, it'll all cross out.

The left hand side, we're just left with the 3x.

But the best thing, I'm guessing, is to just factor these out and all sorts of things will start canceling out with each other.

Subtract 49 from both sides.

Then times 5 times 4 times 3 times 2 times 1.

And here is Gauss' trick, for observation, which is that the result of the third recursive call minus each of the first two what happens.

Well, we take the exponent, multiply it by the expression.

that's equal to x minus f squared plus y squared.

We know that f of 2 is 8. 2 3 is 8

Now, Alice ads her private colour to Bob's mixture.

2x minus 5 is equal negative 11 let's add 5 to both sides of this equiation.

So that's 6.

Well, a to the first, minus a to the first.

If you wanted to solve it algebraically you could add 11x to both sides and both of these terms will cancel out with each other and all you would be left with is a 4 is equal to a negative 11, which is not possible for any x that you pick.

We have a positive 2 and a minus 2.

Meaning d should be Alice's private key.

And already it looks like there's some cancellation that we can do.

And that's why I put the 1 2 there.

And now let's add for the new variance, a 1000 to each individual salary and a 1000 to the mean.

Multiplying this out misses exactly 1 term, pXi, which is number 3.

So what is log base ten of let's say, one million.

Follow Excellence...

Okay, now we have space for some title.

I wrote messages in notebooks.

In other words, since the theme of this session is choices, we have a choice.

You don't hear anything. You're writing code.

If you strike me down...

If you multiply by 5 and divide by 5, you're just gonna get p, or whatever this number is.

We have him on medication to control the pain. He's over the worst. Ok.

And if you treated these like variables these seconds would calc, would cancel out with that seconds right there and you'll just be left with the unit meters, which is good because we want a distance in meters, in just meters.

Negative 1 3 times 6z is going to be minus 2z.

Oh no. It's too late . She's already dead.

So you've effectively negated 60 years of aeronautic research.

You can add x squared to both sides to get rid of this and this.

Beat the shit out of you?

But this is equal to a squared minus b squared, because the middle terms cancel out.

To quote a friend of mine it's clobbering time.

Postmarked Hattiesburg, 28th of December.

It will start beating again.

It changes what we see. It changes what we remember.

So that's going to be equal to 6y squared minus x squared plus 3.