So maybe you know, we'll just assume that is doesn't change.

Let's say I have a piston on the top here.

We're going to assume these constraints throughout this video.

Well, we're going to assume that we're on a planet that has no air.

We are assuming that our societies are going to be based on mistrust.

And let's say I'm going to make it really complicated well, actually I'm not going to make it any more complicated now.

The relationship between today and tomorrow, today and the future. And that interest rate we'll assume is positive.

But for the sake of simplicity ... ... we're going to assume ... ... that it was kind of a constant velocity ... ... or what we are calculating is going to be his average velocity.

little drawing here is, let's say that I have a tube, and at the end of the tube is a balloon.

Let's say I have fx plus g, times hx plus, I'll use j instead of i.

Suppose...

But assume that China does revalue its currency sharply, by, say, 40 .

So let's say I had negative eight comma five and I had let me think of a good one two comma I'm just going to make up a number. two comma, let's say zero.

So I'm going to define, let's say c, where c is just any real number. c times the transformation S of some vector x, I'm going to say that this is equal to c times the transformation of x.

Because we're assuming.

So for an oxidation state, we'll assume that the oxygen in water takes the electron and we'll give him an oxidation state of one minus.

Let's say, it is equal to let's say it is equal to five eight.

Let's say I have two lines.

One can assume that next year s total spending on military affairs will be even bigger.

Suppose we make it fifty? Nhnh. Sixty?

So let's say that f of x is equal to let's say the sin of 3x to the fifth plus 2x.

let's say the point x1, y1 are, let's say that that is a point on the line.

So lets draw this bag here. So that's my bag. We're going to assume that it's a transparent bag.

Let's say it looks something like that.

But we're not going to assume that.

But let's suppose we did this.

Suppose we're distributing flutes.

Well, here we have two numbers that add up let's say that a is equal to fj.

So let's say our function, let's say that f of x is equal to 3x to the fourth minus 4x to the third plus 2.

Let's say I have a cone.

Let's just assume that this is a constant term.

We are just assuming that it's perpendicular

Let's say that this is some line.

Let's say I have two transformations.

Let's say that I borrow 50.

Let's say that this is a.

So let's say we set up the equation.

And let s say the function looks something like

Let's just say that's the y axis.

Let's say x is equal to 1.

Let's say that x is equal to 2.

We are assuming that we already have a formula for this.

We are assuming that we know that.

So let's say we have the matrix.

Let's say when x is equal to 2.