Where clauses aren't required.

So immediately we have two clauses.

That basically means slash is valid and then any number of these clauses is valid after that.

Then the actions have two new types of clauses.

They are words that connect clauses, words, and phrases.

That's going to total up to n clauses in the formula.

They are words that connect two unequal things, dependent and independent clauses.

Adverbial time clauses (here 'when') write about the future in the present tense.

Remember all the clauses end up being in these groups, so there's one clause for each node that says that that node has to have one of the k colors.

The way it knows that there are new clauses forming right here is this colon right over here.

There's no other clauses that we need to consider here that captures the notion of k color ability.

In list comprehensions we can also put little clauses or guards to only take some of the input list.

This formula that we come to has k variables and s clauses and we're going to add three more nodes.

Then we have some additional clauses that say what can't be the case that a is red and b is red at the same time.

So we create one of these gadgets for each for each in the clauses connect them to the rest of the graph and now we get this giant graph and that whole graph is satisfied, if and only all the gadgets can be colored, which is the same as saying if and only all the clauses can be satisfied and since they're all connected with n, that's exactly what we wanted it to be.

These These headaches.

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These are these, right here.

In these gardens and these springs,

These Christians, who are these Christians?

I remember these Turkish carpets, and there were these scenes, these battle scenes, these love scenes.

It's only these guys, these precompute servers would touch these preocompute databases.

These these are American success stories. Applause

These other ebooks, these are substitutes. WRlTING

These places, these origins, represent governance gaps.

A has these benefits, and these risks.

These are precious to us, these divides.

These happen more rarely. These are elements.

I want to know how many clauses are in the formula, and just to make that a bit more concrete a clause is the sort of thing that I got here in parenthesis, it's between the n's.

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like these.

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You show all these interconnections, all these interrelations.