Dispatches!

The dispatches...

Maybe some cylindrical containers with some symbols on them.

Some coordinates.

So there's a difference in their x's squared plus a difference in their y's.

Batteries One and Two commence firing... on coordinates 325878.

This is, of course, the Cartesian coordinates.

So what are these coordinates?

This is in standard coordinates.

The center of the bank is at .

Or you could imagine, the right coordinate system.

My partner sees the target, tell me the coordinates and distance

And then the coordinate tells me how many v1's do I have. So

So these are coordinates with respect to b.

That point has the co ordinates, tells me where do I find that point ( 2, 5). and these coordinates are called 'cartesian coordinates' named for René Descartes because he is the guy who came up with these.

The coordinates are just going to be, the coefficients on the different basis vectors.

Let's see, when you go from the distance squared, the difference is in there x's.

Let me draw three coordinate axes. So that's my first x axis and y axis, so x and y.

And we've also seen that we could change our coordinates.

All right, let's keep converting Cartesian functions to polar coordinates.

So literally is the B coordinate representation of the transformation of x.

To do so, the function must be adapted to the new coordinates.

The origin, ( S , M , L ) (0,0,0), corresponds to black.

Here is the invitation, giving the exact coordinates in time and space.

So let's remind ourselves what a coordinate system is here.

You're definitely the first. Okay, first coordinate. One two three nine.

And that spider web pattern corresponds to the local coordinates in the sky.

The discs were photographed to produced animated movies that allow a viewer to travel up and down the skeleton, and into the flesh, and through the bones, and the veins, and, perhaps I should have suggested you don't watch this during dinner, my bad.

We've been talking about alternate coordinate systems, and this transformation, it looks difficult in our standard coordinate system, because we're reflecting around this line right there.

This may make defining the vectors simpler when writing the equations of motion.

The coordinate system is defined based on the robot, where it is and what it's looking at.

If you want to represent v2 in your new basis, well, what is it?

Different coordinate systems are just different ways of representing the same vector.

Upon learning of Zaphod's plan, Kavula announces that he has the coordinates to Magrathea.

And the way to find the midpoint of two coordinates is actually very intuitive.

So our new coordinate system has the basis vectors v1 and v2.

And this says I'm going to write this in coordinates with respect to this basis set.

The next piece that I'm going to do which is the cylinders piece, if you want to get that up it has to do with cylinder seals from about 5,000 years ago, which were stones with designs that were used to roll over wet clay with all sorts of great designs.

So if I multiply D times the second basis vector v2 in B coordinates, in our new coordinate system, that is equal to d1, d2 times what is this guy's representation in our new coordinate system?

The designation PSR B1257 12 refers to its coordinates in the B1950.0 epoch and it being a pulsar.

The distance squared from A to C is equal to the differences in their x's.

Then, all of a sudden, at least in that coordinate system, the reflection wouldn't be around this inclined line.

We're just changing the coordinates of how we represent it.

Or how does this meeting of coordinates relate to these coordinates with respect to a basis?

If we are dealing with standard coordinates So I have x in standard coordinates .