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Recipe: How To Translate A Recursive Function Into An Implicite One

In order to determine the runtime of a recursive function, it is helpful to translate this function into an implicite one. This blog post illustrates a straight-forward approach, intuitively – with exactly 5 steps on a small example. This approach is also applicable for almost every recursive function.

Why Tho?

The reason to resolve a recursive function lies in the analysis and application. When interested in runtime analysis, the implicite function will serve as a guidance for the total runtime of the recursive function. When interested in application, the implicite function will have the same

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A Few Words On Algorithm Complexity

One of the key properties of a given algorithm is its complexity. A computer scientist is interested in the adequacy of the algorithm runtime relative to the size of the input. While there exist sharp runtime lower bounds for any given algorithm, for upper bounds however, the sky is the limit. It depends on the quality of optimization.

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