The length of the arrow is the absolute value of this.

So the absolute value of 3 minus 4i is going to be the distance between 0, between the origin on the complex plane, and that point, and the point 3 minus 4i.

Let me draw a big fat arrow to signify this is 15 15 has an absolute value of 15.

We use a lot of laser range finders.

Divorce all the way! Divorce.

We just substitue 5 for x.

That persisted until roughly, 1990's. There are two kinds of methods to measure distances.

Measure the distance between two points

I'm just going to briefly talk about them.

So instead of that, we multiply that with speed of light, converting it into a distance.

This means that the distance, another way to interpret this remember, absolute value is the same thing as distance from 0 so another way to interpret this statement is that the distance from h to 0 has to be less than 7 and 1 2.

And just as a reminder, absolute value literally means whether we're talking about a complex number or a real number, it literally just means distance away from 0.

We're already making the claim that the distance from here to here, let me draw that in another color.

And just as a bit of a review, if I were to say that the absolute value of x is less than, well let's just say,

So you get 25 is equal to the absolute value of 3 minus 4i squared.

So if we use a camera, I use a different model than if we use a range finder.

Well, we know the minor radius is a, so this length right here is also a.

So it would be the distance around.

We can ostensibly measure Hubble constant.

I'm dead against the plan.

So this, right here, is the same distance as that.

(Don't let her go.)

You guys stick with me, you understand?

Distance

Distance exponent

At a distance of

Distance

Anything that's in between these two numbers is going to have an absolute value of less than 12.

I've told you the latency is 7 milliseconds. That's a milli, not a nano.

So how far did the column move?

Let me tell you something about the equipment that's on this car that makes it self driving.

These two focal lengths are symmetric.

This one time J Cub showed me this text from Ramone.

But it will definitely never happen.

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?

2200 feet.

How much further?

How far?

Distance.

Distance.

You don't really have to consider them.