So you cross out that row, that column.

And over here, we have nine things with a mass of one kilogram, which we could write as 1 1 1 1 1 1 1 1 1.

Well I get 1! This right here is 1

So 1 plus 1 plus 1 plus 1 plus 1 plus 1 (let's see... that's 1, 2, 3, 4, 5, 6) plus 1 plus 1 is equal to 8.

The ancient Egyptians used unit fractions.

And what are three ones?

Well, we'd better not make it 1 over N plus 1, when N is zero.

The answer is 2 if we multiply the data point the first expression and the second expression get 1 1 which is 1, 0, and 1 again that adds up to 2.

Now it's been extremely successful.

That means we will not perform this optimization.

And different signs gets you a negative result. So that would be either, let's say a 1 times 1 is equal to 1, or if I said negative 1 times negative 1 is equal to positive 1 as well.

Then when we go to row 1, column 2, I want the determinant of 0, 1, 1, 1.

So it's 0 times 1, minus 1 times 1.

I'm doing it in pink, because it's the inverse.

If you look at the picture over here, you'll find there are many different linear separators.

So we get if I haven't made any careless mistakes minus 1, minus 1, plus 2, minus 1, 0, 1, 2, 1, minus 2.

The Bag of Words representation is the following.

And we add all these up.

Number one.

One o'clock?

One o'clock.

Then you go into the 10's place.

2 plus 9 let me switch colors.

Now we're in the 100's place.

If I were to cross out row 1 and column 2, what do I have left over?

2 times negative 1.

(Laughter) (Applause)

Then, the current element is 5 whoa! Happy day in jubilation.

If U equals 3, they are cyclically shifted to the right by 3.

So this is 1 times to the first 1 times to the 0 is equal to 1 times 1 which is equal to 1 1 times 10 to the negative 1 is equal to 1 10 which is equal to 0.1

So the first expression is 0 and the second one is going to be 0 as well.

This map is going to produce the same result as the previous one.

1 1

1 1

I'll label it negative 1 comma negative 1.

So it's 0 times 1, which is 0.

My matrix is going to be 1111 times, and I'm going to write down the sizes of my four houses here and

Well it's just 1.

You multiply all the numerators

Well, when x is equal to negative 1, f of x is equal to 1.

So 2 plus 3 is equal to 5.

Beat Serena.

But shared use is really key.

One prawn, one bullet.

And if we wanted to write this down as a repeated addition, well this is literally 8 ones.