Again, what do you think could help us get the right answer this time?

Check that box if you think that would be helpful.

It is open .. it is open to subjectivity, and a lot of that subjectivity is all around the assumptions that you choose to make.

Because we'll see later in this video that to some degree, that assumption is one of the biggest drivers of assumption.

Let's suppose that he is here.

And what I want to do

Let's suppose that she is here.

This is what I assume about annual maintenance.

Olivia, this isn't like before.

And for the sake of our discussion, we'll assume that a is greater than b.

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.

So I'm going to have to add something like 1 or 2 or whatnot to (x) to get (z).

From what I've seen so far, I am forming a hypothesis.

Sure, these might be well intentioned.

The 2 , that's general inflation.

Let us suppose that the news is true.

Obviously your rent doesn't increase every month, but I assume it does fairly continuously.

In fact, we have to assume that s was greater than zero here in order to assume that this goes to zero.

Let's suppose it's true.

We assumed that s is greater than 0 this example.

If the observation, however, is not in line with your prediction, then the hypothesis is rejected, and if the hypothesis is rejected, you need to come up with a new hypothesis, and this cycle going along from hypothesis through prediction through experiment through observation and gradually refining the hypothesis or coming up with alternatives.

Actually, let me write that down explicitly.

There were other complicated shape.

like that one, this is not a particularly good hypothesis.

I could see her struggling with the thing.

But anyway, don't want to get too complicated.

These simplifying assumptions will allow us to do an analysis that is more tractable.

A very simliar to it, is so called expanding photosphere method for supernova.

When you take the limit as this term approaches infinity, this e to the minus, this becomes e to the minus infinity, if we assume s is greater than 0.

What are the things that a and b could be equal to?

Fortunately it stopped, not because anyone understood arithmetic, it stopped for other reasons.

(Laughter)

I'm trying to draw George Washington.

So what if theta 1 is equal to 0.5. What happens then?

Let's think about the situation when we have a completely fair coin here

The Laplace transform of 1 we just did it at beginning of the video was equal to 1 s, if we assume that s is greater than zero.

That's one hell of an assumption.

We are in replay mode, however.

And of course, then we subtract an 8 so this guy disappears.

It could actually be 90 as advertised and you were just unlucky, but we believe that high probability of this is correct or is the data actually contradicting this claim and you should complain that the claim is incorrect.

Because we have that constant there.

So, this is valuable to clarify your thinking.

Okay, what assumptions did you make?

Seems the logical assumption.

So then...