Now let's look at this statement the limit of f(x) as x approaches zero from the negative direction is equal to one

And just to make that gel with what I just did with the addition,

That requires a lot of patience and a lot of energy.

So about six years ago,

(Applause)

What can we do together that benefits us both?

This is called the Discrete Logarithm problem.

Now let's think about 7.

Now, let's think about what that is relative to a whole cup.

So we get 7 times 146 is 1,022.

(Laughter)

So we will be returning to these two ideas as we go.

It's actually very basic stuff thinking about continuity, thinking about backups, thinking about the things that actually matter.

2 groups of 3.

With that you can't do much.

They represent 7 ones.

Where are all the little ones? (Laughter)

Let's think about those two situations.

If I were to ask you what one fourth plus one fourth is.

This particle has charge.

And when I think about what Nathan did, and when I think about what people here do, I think about ideas.

Bob brooded on the matter.

Bob thought deeply about that matter.

So you'd subtract out a one.

The first power...

And before we do a prime factorization of it and to see which of these factors show up at least 3 times,

But we think about games as fun, and that's completely reasonable, but let's just think about this.

It would've been great if we were on the gold standard.

Because sooner or later, we'll be confronted with decisions about this, and it's better if we think hard about it, even if we want to think hard about reasons why we should never do it.

It's how you cover it that matters.

And what am I doing?

He is in error about the matter.

It's the central character that we're looking at, and it's the neighbor the left and the neighbor to the right.

And that is also the focus of it. That it makes sense to you.

let me think of a good number the absolute value of 7.

So, that's the input.

Or even where they don't overlap.

So if this is 2x squared here, so it's going to be two numbers when you multiply them equal 3 and when you so

Have you even thought about our talk?

And I was there thinking about what was going on.

I think that if we reduce, reuse, refuse and recycle right at the end there recycling is the last point I want to make but it's the four R's, rather than the three R's then I think we're going to be on our way.

And what's exciting about...

I love the way he sits and lies on his kennel and contemplates the great things of life.

Let me paste the question right here.

I've been thinking about you girl. I've been thinking about you girl.