From an engineering point of view, this is just a little four bar linkage.

(z) Annual Conference of the International Bar Association (Auckland, New Zealand 25 28 October 2004)

1, 1, z, z looks like this z would look like, z would look like that.

Z squared minus 4 is z plus 2 times z minus 2.

(t time z 2 minus z 1). Is this equal to the argument of (z 2 minus z 1)?

So if a is z, so it's z plus 2 times z minus 2.

It's z plus 2 times z minus 2.

So times z plus 1, times z plus 1.

So it's z plus 4 times z minus 2.

And, let's draw the vectored Z 2 minus Z 1 so let's say that this here is the vector and lets draw the vector Z 2 minus Z 1 now what would T times Z 2 minus Z 1 look like?

(t 1) times (z 2 minus z 1) is going to look like this. This is (t minus 1) times (z 2 minus z 1).

This is (t times z 2 minus z 1) and the green one, just to be clear is (z 2 minus z 1) is that.

(a) Institutional linkage

7. Linkage development

Rotation Z

Z rotation

z rotation

z rotation

So what is z sub one times z sub two?

And let's see, this z cancels out with this z.

So this is equal to 7z times z plus 1, times z plus 2, times z minus 6.

That choice B, the argument of z z 1 is equal to the argument of z z 2. Now lets think about this a little bit.

This right here would be T times Z 2 minus Z 1. Now what would T minus 1 times Z 2 minus Z 1 look like?

Times z squared minus 4 all of that over z to the third plus 2z squared plus z equals.

Or in this case, z plus 2 times z minus 2.

All of that over 4 times z plus 2, times z.

So it's z squared plus 4 times z squared minus 4.

This is equal to the limit and I've change colors arbitrarily as z approaches 2 of z plus 4 over z squared plus 4 times z plus 2.

Dancing, snack bar, soft drink bar.

z damping ratio

Z angular velocity

Z Matrix Editor

Z Matrix Editor...

Z piece color

What is z?

It's a z.

In complex numbers the convention is to use z, the letter z.

The equation is hidden there, z goes into z squared, plus c.

So z can satisfy this OR z can satisfy this over here.

Let me make the z in a different color. f of z.

We're going to a bar! A bar!

The next z is equal to the z before it squared plus 1.

So what is the complex number z sub one plus z sub two?

So what happens if I divide z sub one by z sub two?

Let's see, this z plus 2 cancels out with this z plus 2.