# Let's put the FUN in Functions!!

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The combination of variables and constants in some fashion is a function. [ y=f(x) ]

A function takes a variable from the domain space (x from X) and maps it onto the range space (y in Y).

A couple rules:

All elements of the domain space must map onto the range space. No single x value can map onto two different y values.

Say we had a function, over some domain. It's a curve, or a surface, or whatever on a graph basically. As we move along or change the variable(s), basically all we do is slide around on the curve or surface or whatever. In modifying the constants we observe the general shape of the curve or surface being altered.

I don't really know where I am going with this, I just wanna tie something sensible into the idea of variables and constants in terms of LOST. I think, Daniel being so into Math and Physics, there would be some sort of realistic basis for the terms, but it seems to be the words are used for their Linguistic meaning more than Mathematics meaning. Constants can alter a function, variables are what a function is written in terms of.

Start of a proof:

Let f(x) be the time line of events (maybe?) Let X be the set of variables, having elements (x) defined by Daniel as people (or maybe their actions?)

Blah I lost it... Maybe I should think about limits of a function. Or powers on a variable. Or maybe I should let it go.

Maybe f(x) is a function over interval [a,b] with invariant limits at x=a and x=b. Then there is only one fixed beginning and one fixed ending, no matter whats in the middle, sounds like something Jacob might say and time loops could get involved somehow.

Now I am determined to write a Proof-like description of LOST. Yes these are the extremes I will go to.