And let me draw an odd function for you.

But these are not our traditional coordinate axes.

If we want to plot points, if we call this the y axis, and we call this the x axis, and if we call this the x coordinate, or maybe more properly that the x coordinate and call this the y coordinate, then we can set up an equation here.

That's all you need to know.

Let's say we have a z axis just like that.

A quadrant is each of the four sections of the coordinate plane. and when we talk about the sections we're talking about the sections as divided by the coordinate axis.

I can draw, let me just draw one more to really make sure.

Whatever happens with the y and z axes won't affect the x axis value. So in the second system x will also be 10 .

If I wanted to plot the point 1, 1, I go to my coordinate axes.

So, let's see see pictures of what gradient descent does. Let's say I try to minimize this function. So notice the axes.

Just like you right hand and left hands, both have 5 fingers but look different, coordinate systems also have an orientation to them.

Coordinate

Coordinates

And just to give you a sense of what that means, if this right here is my coordinate axes, and I wanted a plot all my x1's, x2's.

You remember a robot operating in a plane environment has usually 3 coordinates.

Just so you know that the line doesn't end there.

It's right on the x axis at x is equal to 5.

Polar Coordinates

X Coordinate

Y Coordinate

Coordinate System

X coordinate

Y coordinate

Coordinate Grid

Coord. grid

Catalog Coordinates

Cartesian

Cartesian Coordinates

Coordinate grid

Do you have everything?

We're in luck with the x axes, in both systems we know the x axes match.

Y position offset

Point by Coordinates

Polar Plot

Horizontal Coordinates

Equatorial Coordinates

Ecliptic Coordinates

Galactic Coordinates

Geographic

Geographic Coordinates

Equatorial

Horizontal

Coordinate epoch

Coordinate Converters

Geodetic Coordinates