Consider the recurrence T(n). if n ≤ 4 T(n): m) = { T(√n])+d ifn>4 Use the recursion tree technique or repeated substitution to come up with a good guess of a tight bound on this recurrence and then prove your tight bound correct with induction or another technique.

Consider the recurrence T(n). if n ≤ 4 T(n): m) = { T(√n])+d ifn>4 Use the recursion tree technique or repeated substitution to come up with a good guess of a tight bound on this recurrence and then prove your tight bound correct with induction or another technique.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Concept explainers

Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.

Question

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Consider the recurrence T(n).
r(n) = { T[{\√~]) + d
if n ≤ 4
([√n])+d_ifn>4
Use the recursion tree technique or repeated substitution to come up with a good
guess of a tight bound on this recurrence and then prove your tight bound correct with
induction or another technique.

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