It's all very one dimensional.

But reality is not one dimensional.

So you can basically program any three dimensional shape or one dimensional, two dimensional up into this chain completely passively.

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.

Let's say that I have a one dimensional subspace. Let's call that V1, for it's a one dimensional subspace.

But the conflict was not simply one dimensional.

So, a one dimensional space is just a line.

A vector is essentially a one dimensional matrix, where one of the dimensions is one.

In 1746, d Alembert discovered the one dimensional wave equation, and within ten years Euler discovered the three dimensional wave equation.

and they happen to be each one is a three dimensional

Now we extend it out one inch and we have a one dimensional line segment.

Let's look at one more way of representing a four dimensional object.

But the real number line is very boring because it's one dimensional.

Because a DNA sequence is a one dimensional entity, it lends itself much better to single number comparisons than a four dimensional body does.

It makes a two dimensional image look more three dimensional.

What I am saying though is that human beings are not one dimensional.

There might be somebody on one right now, participating in multi dimensional engagement.

The other point that's worth noticing is how one dimensional this projection is.

One idea is that our three dimensional universe may be embedded in a high dimensional space, just as you can imagine on these sheets of paper.

So in one dimensional systems this is a project called the self folding proteins.

The strange one looks likes this that we live in a three dimensional world.

and each one would be a vector in nine dimensional space and we would

Toward the Dimensional Gate.

It's called dimensional analysis.

And three dimensional shapes

So imagine this is basically a two dimensional rendering of the disc rotating by one notch.

Do a little dimensional analysis.

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

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

Often curves in two dimensional (plane curves) or three dimensional (space curves) Euclidean space are of interest.

Today s tendency to view Muslim grievances in one dimensional terms reduces political discourse to a very simplistic level.

We must realize that the unipolar world is a world with a single track, a one dimensional world.

And one thing that's very important is to combine traditional tabular data with three dimensional and geospatial information.

It s truly a three dimensional space.

So it becomes slightly three dimensional.

I couldn't imagine three dimensional space.

We could've had n dimensional vectors.

It's truly a three dimensional space.

This is a three dimensional machine.

I'm also looking to take my work from the two dimensional form to a more three dimensional form.

It's still a mapping from a three dimensional, I guess we could call it a three dimensional matrix vector to a three dimensional vector. Each of these are members of R3.

Now, take into account the fact that we live in a three dimensional universe, OK, a three dimensional space.

Well, we take this three dimensional stack of images and treat it as a gigantic three dimensional coloring book.

It s a thin film, two dimensional existence.

An amaryllis flower looking really three dimensional.