So it tells me right here, that the equation for this

The absolute value sign says it's the determinant.

That tells us that we can represent it as a matrix transformation.

So that says if you give me a 4, I'll give you a 5.

That represents this number which is arguably the most fascinating number in our universe.

I don't know, let's say it's equal to I'll do it in an

Just to interpret this, this is saying that for every minus 6 we go in x.

And what we're going to do is, I guess you can call it a bit of a trick, but it's something that shows up a lot.

This tells us that if we have 1 times vector a, plus 2 times vector b.

No nothing this shows that he is only a man no man can survive that heat

This tells us that for every 5 we move to the right, we move down 1.

The following table shows the median California income remember median is the middle, the middle California income

So what does that tell us, given that that is a positive constant Number That tells us that at any value of a, the second derivative is positive.

So this first piece of information, that it's perpendicular to that line right over there, what does that tell us?

That makes it an outfit that knew Amthor's methods... or an outfit tipped off by somebody close to him.

Well it has two arrows on both ends, so it's implying that it goes on forever.

Not that that explained why he was hunting me like this, because he was a chap who never borrowed money.

Which tells us for every 2 we travel in x, we go up 1 in y.

Then we're going to have a bunch of zeroes equaling some number, which tells us that there's no solution.

I think, with us, we've got a video that shows what you're up to, and Virgin Galactic up in the air.

So that means that when x is greater than 2 3, that tells us that the second derivative is positive.

But it also says if you give me a 4, I could also give you a negative 1 because that's the point 4, negative 1.

Ofili explains

Graeber explains

That explains...

So it's just saying that the distance squared remember, if you square both sides of this equation, the radical will disappear and this will be the distance squared is equal to this expression squared, delta x squared, change in x delta means change in delta x squared plus delta y squared.

So once again, that says that, look, if you give me 3 into my function, into my black box, I will output a 2.

It's an interesting proof, maybe I'll do a video, it's actually a pretty simple proof, to show that if you have a concave quadrilateral if at least one of the interior angles has a measure larger than 180 degrees that none of the sides can be parallel to each other.

The report explains further

He explains

And this actually shows us

That clears that up.

Bill didn't say.

Well, that figures.

And the reason why this is a proof, is because it shows no matter what epsilon you give me, I can always find a delta.

Well, this tells us that, let's say I had f of x. f of x is equal to and this only works with the constants f of x is equal to 5x squared.

He'll write out 100 here and he'll write it out in words, however a check looks, it just something that shows it has to be authenticated, so that when A takes it back to the bank, the bank believes that D actually wrote it in his checkbook as opposed to somehow A forging it.

Which tells us that for every 1 we move in the positive x direction, we're going to move up 3 because this is a positive 3 in the y direction.

As Alain Rajaonarivony explains

The following table illustrates this

Unfortunately, as the report very rightly points out,

So what does that tell us?

So I mean this is the magnitude, this axis is the magnitude.

And what does that tell us?

So what does this tell us?