Recurrence relations: Master theorem for decreasing functionsT(n)= {₁T(n-aT(n −b) + f(n),if n = 0if n > 0f(n) = ndWhat is T(n)?

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Recurrence relations: Master theorem for decreasing functions T(n) = {TG T(n −b) + f(n), if n = 0 if n > 0 f(n) = nd

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.

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Recurrence relations: Master theorem for decreasing functions
T(n)
= {₁T(n-
aT(n −b) + f(n),
if n = 0
if n > 0
f(n) = nd
What is T(n)?

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