The value of $\pi(s)$ determines the value of $m(n)$. How do we describe such a relationship between two functions in standard terminology? How do we express this mathematically?
2026-03-31 14:13:09.1774966389
The Value of One Function Determines the Value of Another
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The particular relation you're thinking of is probably functional composition; that is, if the value of $\pi$ determines the value of $m$, there the should be some function $f$ such that $$f(\pi(n))=m(n)$$ which just takes the given value for $\pi$ and uses it to find the appropriate value for $m$. We would write this relation as $$f\circ \pi = m.$$