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Chapter 7

Chapter 7

Chapter 7. 7.1 Recurrence Relations 7.2 Solving Linear Recurrence Relations 7.3 Divide-and-Conquer Algorithms and Recurrence Relations 7.4 Generating Functions 7.5 Inclusion- Exclusion 7.6 Applications of Inclusion-Exclusion. 7.1 Recurrence Relations . Recurrence Relations

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Recursion

Recursion

Recursion. Sections 7.1 and 7.2 of Rosen Fall 2008 CSCE 235 Introduction to Discrete Structures Course web-page: cse.unl.edu/~cse235 Questions : cse235@cse.unl.edu. Outline. Introduction, Motivating Example Recurrence Relations Definition, general form, initial conditions, terms

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Recursion

Recursion

Recursion. Sections 7.1 and 7.2 of Rosen Fall 2008 CSCE 235 Introduction to Discrete Structures Course web-page: cse.unl.edu/~cse235 Questions : cse235@cse.unl.edu. Outline. Introduction, Motivating Example Recurrence Relations Definition, general form, initial conditions, terms

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Solving Recurrence Relations

Solving Recurrence Relations

Solving Recurrence Relations. In general, we would prefer to have an explicit formula to compute the value of a n rather than conducting n iterations. For one class of recurrence relations, we can obtain such formulas in a systematic way.

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7.2 Solving Linear Recurrence Relations

7.2 Solving Linear Recurrence Relations

7.2 Solving Linear Recurrence Relations. Some of these recurrence relations can be solved using iteration or some other ad hoc technique.

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