As the crow flies ?

If you go straight, about 200 metres, but there's no going straight here.

Two km to cover in 10 minutes. Straight?

And words, it just means.

And for all the other states, I've written in red the straight line distance.

The goal, again, is Bucharest, and so the distance from Bucharest to Bucharest is, of course, 0.

The distance in parsecs,and the cartesian coordinates.

So in finding the best fit, we're trying to find a line that minimizes the difference between the data and the line in the y direction and that's somewhat counter intuitive.

line right there.

Now, in order to do this calculation, we're going to need to know the distance.

About 1 00 miles from the coast, as the crow flies.

Same thing, that's this line.

But you see this person actually almost aced the SAT.

So one way to say this is, what are all of the x's that are less than 12 away from 0?

There will probably be this point right here because the distance from there to there is this name as the distance from if you just drop a line straight down.

But it didn't start out that way.

This is our focus.

So it would be the distance around.

We could have said something like this distance, but this distance wouldn't be the shortest distance between this point and this line.

Distance

Distance exponent

At a distance of

Distance

So your distance between the two left and right points in a horizontal ellipse is the same as the distance between the two

In particular, each cluster center represents half of the space.

You'd normally think the distance is given by these lines over here in red and that is the shortest distance irrespective of x and y.

So I have hopefully shown to you that the locus of all points that are equidistant to this point which is really just an arbitrary point.

These two focal lengths are symmetric.

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.

Now let's go back to Romania and apply the A algorithm and we're going to use a heuristic, which is a straight line distance between a state and the goal.

Now, I should say that all the roads here I've drawn as straight lines, but actually, roads are going to be curved to some degree, so the actual distance along the roads is going to be longer than the straight line distance.

Well, it's just the difference in y because no matter where we are we're just going to drop down straight to the directrix.

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?

What I wanna prove first in this video, is that if we pick an arbitrary point on this line, that is a perpendicular bisector, off AB, then that arbitrary point will be an equal distant from A or the distance from that point to A, will be the same as that distance to the to the point, the same as that distance to the point, same as that distance from that point to B

For all of the points in the xy plane that satisfy the conditions that its distance to the focus is equal to the distance to this line.