We're trying to watch.

Now what happens when you change the standard deviation.

And what is the squared distance from 0 to our mean?

What is the variance of this distribution?

let me be very careful.

Now what's the distance now we've got a 1 and what's the difference between 1 and the mean?

You could have said

Five hour commute to work.

Let me show you how it works.

So that is the probability part.

Yes, I il tell him that it's urgent. Long distance.

Long distance?

That's just this distance right here.

Assuming that they are isotropic so there is just, the radial motion is represented to other two outer components.

The races are longer.

In fact, every element over here is 5 times as large as any element over here. Now, how does this affect the variance?

Let's say we're here. x minus mu is the mean so that's here so that's this distance, and this is the standard deviation which is this distance.

So it's kind of, not exactly, but kind of the average distance from the mean.

Birds fly long distances.

And that's what we set out to figure out in the beginning.

Probably the distance.

I mean the long drive.

It's the longest race they'll ever run.

Right. I believe I'm of average height for my age, Vijay.

We can show this angle must also be theta.

I thought I'd try to do something about it.

It's the history of what we eat today.

Be bright and early Monday. We got a long drive.

Activate longrange scanners.

Searching for longrange comms.

But heck, there ain't another for a good country mile.

I'm wasted on crosscountry. We Dwarves are natural sprinters.

100 metres. and so using this information we can actually figure out his average speed his average speed right this way his average speed is just going to be change in distance over his change in time and using the variable over here we are saying y is distance and this is change in y over change in x from this point to that point and this might look somewhat familiar to you from basic algebra.This is the slope between two points.

Come on, all the longdistance lines are down?

Let's ask you a different question suppose we're on the fields and we learn how to throw ball.

I just add Gaussian noise with the corresponding steering noise and distance noise parameters.

It's just the square root of 9 minus 4.

And the coordinate of this focus right there is going to be 1 minus the square root of 5, minus 2.

So, ultimately what's going to determine the success or failure of SETI is the longevity of technologies, and the mean distance between technologies in the cosmos distance over space and distance over time.

All right.

So it would be the distance around.

The second thing remarkable about the Tarahumara is deep into old age 70 to 80 years old these guys aren't running marathons they're running mega marathons.

Five miles is a long distance to walk.

Twenty miles is a long distance to walk.

And yet, she beat 492 other people.