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recursion 数学

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英语

The backward recursion is the adjoint of the above forward system. en.wikipedia.org

The first line of this equation is there to make the recursive property simpler (when dealing with the edges, so we need only one recursion). en.wikipedia.org

Generalized recursion theory extends the ideas of recursion theory to computations that are no longer necessarily finite. en.wikipedia.org

This creates a higher-order function, and passing this higher function "itself" allows anonymous recursion within the actual recursive function. en.wikipedia.org

Each level of the recursion gives rise to a quotient. en.wikipedia.org

Induction can also be used to prove properties about a sequence, especially for sequences whose most natural specification is by recursion. en.wikipedia.org

The obvious recursion relation results from repeatedly applying the raising or lowering operators. en.wikipedia.org

This requires declaring functions before use, though not necessarily defining them, and requires forward declaration in some cases, notably for mutual recursion. en.wikipedia.org

Recursive functions and loops are equivalent in expression; any expression involving loops can be written using recursion, and vice versa. en.wikipedia.org

Jones (1997) presents a view of the second recursion theorem based on a reflexive language. en.wikipedia.org

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