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Chapter 2: Recurrence Relations concentrates on fundamental mathematical properties of various types of recurrence relations which arise frequently when analyzing an algorithm through a direct mapping from a recursive representation of a program to a recursive representation of a function describing its properties. | ANALYTIC COMBINATORICS PART ONE http aofa.cs.princeton.edu 2. Recurrences ANALYTIC COMBINATORICS PART ONE http aofa.cs.princeton.edu 2. Recurrences Computing values Telescoping Types of recurrences Mergesort Master Theorem 2a.Recur.Values What is a recurrence Def. A recurrence is an equation that recursively defines a sequence. Familiar example 1 Fibonacci numbers recurrence F .VI Fn-2 for N 2 with Fo 0 and F-i 1 sequence 0 1 1 2 3 5 8 13 21 . MUST specify for all N with initial conditions Q. Simple formula for sequence function of N
