If, for instance, I have set up the traceit function, which gets called for every line as always.

And now for every single method that change the state, you can now invoke the invariant checker.

We know it all.

Or I could call the cops.

Let's say that r is equal to 1 over 1 plus i.

You might imagine looking at the recursive definition for Fibonacci.

An XMLHttpRequest allows our Javascript code running in a browser to fire a request off to our server to a specific URL.

And actually we can extend this point over here

What this does is it creates a new list out of that arts.

If everything goes well, the traceit function to print out this very call with the right argument.

And then you list some number of arguments, and then you have a colon, and then here you can put any expression you like.

And we have all the rules for expressions that we used to have before, but now we're going to add function calls.

We use function calls to access user interaction or generally anything that comes form the environment.

We're going to call sum, passing in a and b.

It's the Vulcans. They'll be here in two hours. console beeps He's hailing us again.

So we could call this plane AJB

Instead of printing out what we've selected so far,

We could call it plane amp quot JBW amp quot

I'm going to do it all on one line now, just to say a little space.

Who can predict his comings and goings?

ROMEO Wilt thou provoke me? then have at thee, boy! They fight.

let's see what happens when we pass a value to our procedure.

like x, y, or z, and then you get to refer to them in the function body.

And we just have to find the three noncollinear points on that plane

We're being hailed.

We're being hailed.

We can just subtract that off from the number that we want, call Top K recursively, and we're done.

So if this person is Maria and this person is TJ.

Your job now is to write a piece of code that evaluates all these calls.

You could just as easily imagine a line that intersects the circle at two points.

The problem with recursion in terms of performance is that when you execute a procedure that does a recursive call you've got to keep track of the state of that call.

So your're going to have less light come out the other side.

And then i is 2, the element is 3, the f_value is 3.

We're using a 24 hour clock here and I'm printing this out.

So, bug equals seven is the answer and just in case you're curious, here's the source code for the expression evaluation, and if we look at call, we'll see that the environment that we call the function on is the same environment from which its called and not from which the function was defined.

let me, let me just do Fibonacci of like 6, and your gonna see how many calls to Fibonacci it had to do so it had to do all of these calls, all of these calls, to fibonacci so it was actually very computationally intensive thing to do. but it, you know, the computer's are super fast, so you dont even notice it.

(Laughter)

And then I'm going to recursively call C suffix on everything, but the last character in the string.

I want you to output these as assertions that can be inserted immediately into the code.

Your team will need to include a graphic designer.

Our JavaScript interpreter is going to have to compute the value of 6 factorial, a function call within a function call within a function call.

Vulcans have a saying One man can summon the future.

Call

And you brought me all the way down here to be honest with each other.

The question is how do you get these ranges?