And what is the summation?

Well, what does summation say is that this term over here.

Then this means that, it's just like summation except that we're now multiplying.

The summation of that gives us something we could never achieve as an individual.

It's a saying that this summation over here is just some real number right?

The inner loop of the summation now has only 3 terms rather than 5 terms.

So, just an example of how to add different vectors and this summation is the same thing.

And so, you're familiar with the summation notation, so the sum from i equals one through n, of i.

Except that we have this sum from K equals one through K. The summation is basically a sum over my K output unit.

So we can take that term and move it out of the summation, and now we have a little bit less work to do.

We can also move this term, the P of e, to the left of the summation over a, because it doesn't depend on a.

Because this is a summation of the I. So, as I ranges from I1 through m, you get these different terms and you're summing up these terms.

This summation terms looks really complicated and always doing is a summing over these terms, theta j i I for all values of i j and l.

There are three statements that are going to executed inside plus the additional three statements that are executed outside plus there is going to be one statement executed for each of the bits of a that it's on and particularly the summation.

I've been in India, in China, in Japan, in Australia. Everywhere.

Come in. Come in.

In April in Geneva,

In Kenya, in August,

Fall in! Fall in!

I work in Morocco, in Turkey, in Mexico.

PCBs accumulate in dolphins in Sarasota Bay, in Texas, in North Carolina.

That if you are a leader in any area in business, in politics, in sports, in art, in academics, in any area you don't own it.

In presence and in absence. In simplicity and complexity.

living in the Middle East in particular, in Iraq.

In 1700, in 1800, in 1900, no one cared.

What's in fashion in Paris?

Yes, come in, come in.

In contrast, in the unsupervised

Ah, check in. Check in!

Well, come in, come in.

In that moment in time,

And in school, in Japan,

Jesse, come in. Come in.

They're in position, in position.

Pyle. Come in, come in.

Brian, in his pajamas, is engaged in reading in the house in the morning.

In Latin America, in India, in Southeast Asia, and most of all, in China.

This results in declines in memory in cognition, and in postural ability and agility.

This kind of trafficking, in narcotics, in humans, in weapons,

In, psychology and in social sciences, behavioral sciences in general.

Lettuce in Texas, carrots in New Mexico, oranges in Arizona

It's the same in plants, in insects and in animals.

In the city of Kinshasa in Zaire in the 1990s,

It's in the liver, in the breast, in the prostate.

I am gonna quote John Steinbeck There are no good collaborations, whether in music, in art, in poetry, in mathematics, in philosophy, in games.