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Asymptotic Growth Rate

Asymptotic Growth Rate. Function Growth. The running time of an algorithm as input size approaches infinity is called the asymptotic running time We study different notations for asymptotic efficiency. In particular, we study tight bounds, upper bounds and lower bounds. Outline.

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Algorithms

Algorithms. Growth of Functions. Some Notation. N Natural numbers R Real numbers N + Positive natural numbers R + Positive real numbers R * Non-negative real numbers B Boolean constants {true, false}. Growth of Functions. Asymptotic efficiency of algorithms

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Chapter 2: Fundamentals of the Analysis of Algorithm Efficiency

The Design and Analysis of Algorithms. Chapter 2: Fundamentals of the Analysis of Algorithm Efficiency. Asymptotic Notations and Basic Efficiency Classes. Section 2.2. Asymptotic Notations and Basic Efficiency Classes. Classifying Functions by Their Asymptotic Growth

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694 views • 10 slides

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Asymptotic Growth Rate

Algorithms

Chapter 2: Fundamentals of the Analysis of Algorithm Efficiency