Beyond it is another dimension a dimension of sound... a dimension of sight... a dimension of mind.

So now I'm going to show you a number of projects that we've built, from one dimensional, two dimensional, three dimensional and even four dimensional systems.

sort of... a portal between this reality and the next.

Let's say that a hypersphere is the 4D equivalent of a 3D sphere.

Galaxies seem to fit all over this particular family of profiles.

It doesn't work in a universe with four dimensions of space, nor five, nor six.

Now when we talk about a three dimensional surface it's a three dimensional surface of a four dimensional sphere that means that any of the three dimensions that are over here on the surface, I can only draw two but that means, if this is true, if the Universe is a three dimensional surface of a four dimensional sphere, that means if you go up and if you just keep going up, you'll eventually come back from the bottom.

cubes game

3D Rubik's cube game

And notice I'm going from a space that has two dimensions to a space it has three dimensions, or three components.

My codomain by definition is R3.

We have to understand that we are interacting with the forth dimensional reality when we are just activating our third eyes.

Let me draw them for you just so you can visualize it.

It might be possible to have a fairly small uncertainty in 1 dimension, but a huge uncertainty in the other.

All the other values should be zero.

An online multi player platform 2D shooter

Max. viewport dimensions

So, a one dimensional space is just a line.

So, what about four dimensions?

And five?

If that angle becomes 0 we end up with a degenerate triangle

We match their dimensions.

a 3D city simulator game

The flux capacitor.

It gets us the value function, and it gets us the policy action.

Nearest neighbor works really well for small input spaces like three or four dimensions.

So this R4 means a set of four dimensional vectors.

First my exwife and now my wifewife.

So for example the point 2, 3, which might be right there, will be mapped to the three dimensional point, it's kind of just drawn as a two dimensional blurb right there, but I think you get the idea, would be mapped to the three dimensional point 5, 1, 6.

The new area we added are these rows over here.

And you didn't have to go through that exercise.

If you take a pin hole camera you can position the pin hole itself anywhere.

Insert 2 dimensional vector

Let's say I have Point 2.

The flux capacitor.

I don't know, I just don't know how to plot all of these data, right cuz I need

Once the hapless square comes to terms with the third dimension, he begs his host to help him visit the fourth and higher dimensions, but the sphere bristles at the mere suggestion of dimensions higher than three and exiles the square back to Flatland.

Goes to the next element

We take this curved 12 dimensional space, and transform it into a flat, four dimensional space.

If you take the intersection of that plane and that cone and in future videos, and you don't do this in your algebra two class.

How many ways are there to get to this cell?

A portal! A pathway to another dimension!

And you could now place 0.1 instead of the delta T to get this specific F matrix.

You don't have to have a parametric equation.

Is Death the 4th Dimension?