Have you ever heard that phrase before?

And the Kirsh mask, like the one over here.

And so we need to be able to do the same thing.

So this going to be the same thing as taking the reciprocal of 2, which is, which is 1 over 2, and raising it to the positive, to the positive 4 power.

If I think the input is going to go on a little longer,

I invite my translation partner to look for an alternative that is acceptable to both of us.

This is the quietest place in the world. You'll see for yourselves.

(Laughter)

like, what are some of the misconceptions that are more common and how do we help students fix them?

Now. There's another way you could have done it.

So, I would suggest that we don't think intelligence, we think replicators.

I invite you to consider four areas I think we can focus on in order to improve the way in which things are done.

So let's see which quadrant the point 7, 7 is located.

Arthur Stone, documented by Martin Gardner in many of his many books.

So how far did this thing travel after 5 seconds

So dividing by 1 2 is the same thing as multiplying by 2.

So say x equals 1, then y would be 2 times 1 plus 1 or 3.

I think his suggestion is worth considering.

So you could think about this as saying,

His suggestion is worth considering.

Think you can get away with it?

So 1 3, if we were to draw 1 3, it looks like this.

And now you have 4 times 2 is 8 plus 1 is 9.

Now it's really hard to think about anything abstract like this without a good concrete metaphor.

You can go and pick your Senator and then you can see a list of bills they have sponsored.

Okay, outstanding. So I invented that.

When you put it in plain English, you almost force the institution to give the people a way, a default out of that, and not put themselves at risk.

Unfortunately it will be impossible for us to accept your proposal.

But any non zero number divided by itself is going to be 1.

Outstanding. How many of you found it really, annoying?

When you come to Boston, I'll show you around.

Well, you could believe that if you read the headlines.

We do have a payment plan available, should you be interested.

I didn't come up with the original idea. But this is another way

(Laughter)

Upper case omega looks like this So there's a couple of ways you could think about it

You can apply the formula we learned in class.

All solids aren't ice.

Until he actually leads me to it or does something I'm stuck here, Marie, so sorry.

I have money to express the demand, but I won't do it, because I don't think it's necessary.

For example, these are the letter frequencies of English.

But I know the power of it,

His proposal is worthy to be considered.

Tom's proposal is worth considering.

Another thing it's good for is navigation it can guide you around in a city.