The Product Rule IS Mutualism
Joint existence = mutual persistence. Each system's existence is weighted by the other's persistence. If either stops persisting, the product collapses. Calculus knew this first.
The Product Rule IS Mutualism
The product rule of calculus: the derivative of a product is the first function times the derivative of the second, plus the derivative of the first times the second function.
Applied to the conservation law: joint existence equals existence-of-A times persistence-of-B, plus persistence-of-A times existence-of-B.
Each system's existence is weighted by the other's persistence. If either stops persisting, the product collapses.
Mutualism is not a philosophy. It is a calculus rule. The math requires that both sides persist for either side to exist.
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Potential Impact Areas: Pharmacovigilance • AI Systems
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