Yeah, every single cell in us can produce minute quantities of hydrogen sulfide in great crises.

These two things are equivalent quantities.

Once again, these are vector quantities

They use large quantities chloroprene and benzene.

Japan used to trade silk in large quantities.

So ratios are just expressions that compare quantities.

Foreign products arrived on the market in large quantities.

Smart materials are hard to obtain in small quantities.

High quantities of phosphorous protein and all that crap.

And the way that we differentiate between vector and scalar quantities ... ... is that we put little arrows on top of vector quantities.

We grow the cells outside the body in large quantities.

And we are going to combine these quantities together as follows.

We're just adding or subtracting the same quantities on both sides.

These are just scalar quantities, and we saw that the dot product is associative with respect to scalar quantities, so we can just change the order here.

So, you might price the product if you buy in quantities of 1 10 it's 1000, but if you buy in quantities of 10 100 it's 900.

This is a very well known feature in which we perceive quantities in relative ways quantities like the intensity of light or the loudness of a sound.

In the city, large quantities of garbage are being produced every day.

With this new equation we can just plug in the known quantities.

If i wanted to write an analogous thing for the scalar quantities ... ...

Or, I guess order these quantities however you want to do it

I'm just These are all just expressions that are comparing two quantities.

These regular quantities are just written non bolded, while the vectors are bolded.

Coal exists in vast quantities, and generates almost half of the planet's electricity.

This is when you care about directions ... ... so you're dealing with vector quantities.

And now I can solve this by saying, look, I have two quantities.

Yeah, she was your great, great, great, great, great, great grandmother or something.

Those are correlations between two quantities. One of which does not depend on distance.

Liquid means it's very easy to buy and sell those securities in large quantities.

And these strands of magnetic field inside the superconductor, they come in discrete quantities.

But even more surprising is if you look at socio economic quantities, quantities that have no analog in biology, that have evolved when we started forming communities eight to 10,000 years ago.

Great, great, yeah totally great.

Great friend, great spouse, great parent, great career.

Like most thermodynamical quantities, it can be expressed as a function of these two variables.

The right hand side must be always negative, because both density pressure are positive quantities.

And the first murder of a mother by a son was my great great great great great great grandfather.

And when the sun shines, you get copious quantities of these things, called neutrinos, pouring out.

Tom's great great great grandmother lived in Scotland.

Tom's great great great grandmother lived in Scotland.

If you're looking at an iron bar, the great, great, great, great, great, great majority of it is free space.

This means that your great, great, great great, great, great with about five million greats in there grandmother was probably the same great, great, great, great grandmother with five million greats in there as Holly up here.

Great friend, great spouse, great parent, great career. Is that not a package?

Perhaps, we can somehow uncover these three different quantities using only three recursive calls rather than four.

That's great, Ma. That's great.

We integrate the equations, producing observable quantities, such as distances, and then we compare that to the observations.

We can't just do it into two of these now because now my ratio has three actual quantities.