Right now, I am sulking over the fact that my formal mathematics skills are quite low. I know what I want in my mathematical theory, the problem is that I have not the ability to formalize it. This is one reason for my interest in a minor in mathematics, but I fear that waiting to take a class on formal mathematics would take too long (chances are that I will not be able to take that class until next school year.) I try to teach myself mathematics, but...it gets really difficult at times. I know exactly what I want, though, and I know roughly how to express it in mathematics.
So far I am trying to formalize what I call a static reagent, which is, intuitively, a constant object (such as a rock or a pillow). I have that a static reagent is made up of one set of actions, one set of reactions, and one set of action/reaction pairs such that no element of the action set is identical to any element of the reaction set and the set of action/reaction pairs is formed by a bijective (one-to-one) mapping of the action set onto the reaction set (so that every element of the action/reaction set is in the form (a ® r), which is basically an ordered pair, (a, r), with the comma replaced by the "causes" operator.)
Now I just need to formalize that statement.