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Chapter 3Asymptotic Notation Definition 3.1 (Big Oh): Consider a function f(n) which is nonnegative for all integers n0. We say that f(n) is big oh g(n) ', which we write f(n)O(g(n)), if there exists
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How to fill out asymptotic notation

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To fill out asymptotic notation, follow these steps:
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Identify the algorithm or function for which you want to determine its growth rate.
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Count the number of basic operations that the algorithm or function performs as its input size increases.
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Express the count of operations as a function of the input size.
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Eliminate any constant factors or coefficients from the function.
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Keep the highest order term or dominant term in the function.
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Represent the growth rate using the Big O notation, such as O(1), O(n), O(n^2), etc.

Who needs asymptotic notation?

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Asymptotic notation is useful for anyone involved in designing, analyzing, or comparing algorithms.
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Some specific examples of those who need asymptotic notation include:
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Asymptotic notation is a way to describe the limiting behavior of a function when the input size becomes arbitrarily large.
Anyone analyzing algorithms and their performance may use asymptotic notation to describe the efficiency of the algorithm.
To fill out asymptotic notation, you identify the dominant part of an algorithm's performance in terms of the input size n.
The purpose of asymptotic notation is to provide a concise description of the growth rate of a function and compare the efficiency of algorithms.
Asymptotic notation typically reports the upper and lower bounds of an algorithm's time complexity in terms of big-O, big-Ω, and big-θ notations.
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