In a non-math context (i.e., where readers would not be expected to know the formal definitions of very advanced mathematical terminology) I am trying to express the relationship between three concepts in a precise way. Here's what I want the reader to know.
- X is some function of A & B
- X is never less than either A or B, individually
- Knowing the precise functional form or relationship is otherwise unimportant.
In fact, the last bullet could be even stronger: it's important not to assume anything else about the relationship. The key thing is that X is at least the greater of A or B. It's never less. It may be A + B. It may be A + only part of B. It may be A * B. It may be A * only part of B. We don't know. So I'm looking for a term that basically means the whole is not less than its parts.
Simply expressing this by saying "X is a multiplicative function of A & B" would impose too many assumptions on functional form, even if by some analysis it's mathematically correct. Writing "X is a multiplicative or additive function of A & B" is better but is cumbersome, still places untoward emphasis on the actual form, and introduces even more technical terminology. In researching this, I have discovered that "arithmetic function" may(?) cover both additive and multiplicative cases but I don't know that it explicitly excludes the possibility that X being less than A or B. Even if so, it is almost certainly too specialized a term.
In any event, the sentence that I'm hung up on currently reads like this: "The total amount of i in X is always some ______ function of the i in A and the i in B."
My questions, then, are: 1) is there an adjective or adjectival phrase that can fill that gap for my purposes; 2) if you think "arithmetic" works, do people actually use and understand it in the way I'd being using it, and; 3) if you don't think it's possible to express this relationship in the form I'm currently imposing, how might you succinctly do so otherwise?