Consider a population of rabbits and foxes. The number of rabbits and the number of foxes will range between 0 and 1, representing the percentage of some theoretical maximum population. Each generation, the number of rabbits and foxes changes according to a simple rule.
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Automatic differentiation is a well-studied technique for computing exact numeric derivatives. Dan Piponi has a great introduction on the subject , but to give you an overview, the idea is that you introduce an algebraic symbol such that but . Formulas involving are called dual numbers (e.g., , ) in much the same way…