Definition:Time-Constructible Function/Definition 2

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Definition

Let $f$ be a function.

Let there exist a positive integer $n_0$ and a Turing machine $M$ such that:

Given a string $1^n$ consisting of $n$ instances of $1$, $M$ outputs the binary representation of $f \left({n}\right)$ in $O \left({f \left({n}\right)}\right)$ time.

Then $f$ is time-constructible.


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