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

create scientific 2 dimensional graphs

To illustrate why this is an interesting problem let me start with a quiz.

We can go from that cube to that cube.

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

Sorting multi dimensional array

And, on the right is open five, ten and two.

The new area we added are these rows over here.

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.

This is a vector field.

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

I get to this point right over there. so he says 'These two values 2 and 5

It's a single row of numbers of a position 1 dimensional.

Take the first and second data point, which is a distance of 2 in the x dimension.

Where do we stand today in the field of computer vision in 2012? If you consider the area of recognition.

Nothing lights up the brain like play.

A gaussian with a small amount of uncertainty might look like this.

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

Like the multi dimension stuff.

cubes game

3D Rubik's cube game

So imagine a grid, like the one I'm showing you right now, and now imagine, within that grid, that two dimensional sheet, imagine neurons.

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.

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

In linear regression, we are given data and data has still has more than one dimension.

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

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

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.

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

I've been working with plastic bags, which I cut up and sew back together as my primary material for my artwork for the last 20 years.

So it starts differentiating between let me make some outer cells.

So, the value of 166 is actually the raster index into the 2 dimensional array.

So, if we take a look, say, at space itself

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

This is a three dimensional machine.

a 3D city simulator game

The flux capacitor.

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

This is a 3 by 2, both of these are 3 by 2 dimensional matrices.

Radio active elements

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

All the other values should be zero.

For example, in C or C , often a two dimensional matrix in array is really just a single array carefully embedded.

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