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a definition of a sequence where later elements are expressed as a function of earlier elements.

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Closed-form for exact number of iterations of binary search

Consider a sorted list of $n$ elements $x_1, \ldots, x_n$. Using binary search to find $x_k$ in this list takes $f(n, k)$ iterations, where $f : \mathbb{N}^2 \to \mathbb{N}$ is a function such that, f …
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