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.

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.

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.

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 it would be the distance around.

(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.

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.

So if we were to draw a number line here, that is 0, this is saying that, whatever this quantity is inside the absolute value sign, its distance from 0 is 2.

The foremost of those were so called Hubble Diagram.

So if this distance is the same as this distance, then the magenta distance minus this blue distance is going to be equal to this green distance.

light blue distance?

I'm definitely not going back home!

So it would be that distance plus that distance plus that distance plus that distance.

That's just this distance right here.

If it's in meters per minute, then this is the distance in meters.

So this distance up here is 45vb.

The absolute value is really just the distance of x from 0. distance from 0

So let's just put zero right over here, since we are taking the distance from 0.

The distance between 46 and 0 or another way to think that is the absolute value of 46.

Focal length