Measure the distance between two points

We're here, and the other point is up here.

We use a lot of laser range finders.

The color for the angular distance measurement ruler.

Oh man, I have a shaky hand.

Misjudged the distance.

Now, the next most interesting thing that you might be wondering about a circle is how far is it around the circle?

Mohamed

We're not measuring how much area we're taking up.

You don't really have to consider them.

I'm going to measure it's distance to each of my cluster centroids, this is mu and then

Our Google self driving car uses radar on the front bumper that measures the distance to vehicles and also gives a noisy estimate of the velocity.

So you add 8 to itself 4 times, that's the same thing as 8 times 4, you get 36 meters.

Proper motions of stars, can also be used. Looking at statistical sense.

And when he pulled the trigger, they'll run for the projectile.

This machine has a lot of sensors that take data in at enormous rates.

Suppose an actual robot sits over here, and it measures these exact distances to the landmarks over here.

We're trying to determine which R(t) curve we live on.

Given the following set of 10 range measurements, what is the 95 confidence interval for the actual distance?

And use properties of star clusters to measure distances to even more distant ones. In particular, this leads to measurement to distances to pulsating stars.

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

Which require callibration from somewhere else.

And Nike knows how to get your pace and distance from just that sensor.

You can see different rooms, and you can see corridors, and the robot is equipped with range sensors.

Then we can measure distances to some of the nearby star clusters.

But notice that several steps precede.

And to try to understand this a little bit better, imagine if this right over here was a measurement of kilometers.

So centrally, all cosmological tests boil down to this.

Click on 2 atoms to measure a distance, on 3 atoms to measure an angle, on 4 atoms to measure a dihedral angle.

Here is another vehicle, and another one.

So it would be the distance around.

Let me make the point, again here's our 4 landmarks, and we measure the distances to those.

Distance

Distance exponent

At a distance of

Distance

These two focal lengths are symmetric.

In other words, if we measured speed as a function of distance this is the only time I'm going to show a graph, OK we would expect that it goes down as the distance increases from the center of the galaxy.

Move the camera around and use the slider to position the block.

And then I have this distance over here, so I'm taking any point on that ellipse, or this particular point, and I'm measuring the distance to each of these two foci.

Slice distance

Distance Test

Angular Distance

Angular distance

But I have a strong feeling he'll be there. ( ominous theme playing ) How far is it?