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Results tagged with induction
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user 144324
Questions about mathematical induction and inductive proofs.
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Prove by induction $T(n) = T(\lfloor\frac{n}{2}\rfloor)+n^2 \in \Theta (\log_2 n)$
Text of the problem:
Solve the following recurrence equation and prove it by applying the principle of
induction:
$T(n) = \begin{cases} 3, \ n \le 2 \\ T(\lfloor\frac{n}{2}\rfloor)+n^2, \ n \ge 3 \end … {cases}$
after doing the recursion tree, I find that the complexity (if I'm not wrong) is $ \Theta (\log_2 n) $
But I don't know how to do the induction step. …
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