Asymptotic analysis

In mathematical analysis, asymptotic analysis is a method of describing limiting behavior. The method has applications across science. Examples are:

A simple illustration, when considering a function $f (n)$ , is when there is a need to describe its properties as $n$ becomes very large. Thus, if $f (n) = n +3 n$ , the term 3 $n$ becomes insignificant compared to $n$ , when $n$ is very large. The function $f (n)$ is said to be "asymptotically equivalent to $n$ as $n$ → ∞", and this is written symbolically as $f (n) ~ n$ .

单词	Asymptotically equal
释义	Asymptotically equal 英语百科 Asymptotic analysis In mathematical analysis, asymptotic analysis is a method of describing limiting behavior. The method has applications across science. Examples are: A simple illustration, when considering a function $f (n)$ , is when there is a need to describe its properties as $n$ becomes very large. Thus, if $f (n) = n +3 n$ , the term 3 $n$ becomes insignificant compared to $n$ , when $n$ is very large. The function $f (n)$ is said to be "asymptotically equivalent to $n$ as $n$ → ∞", and this is written symbolically as $f (n) ~ n$ .
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Asymptotically equal

Asymptotic analysis