Asymptotic Behavior
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In mathematical analysis, asymptotic analysis is a method of describing Limit (mathematics)|limiting behavior. The methodology has applications across science. Examples are * in computer science in the analysis of algorithms, considering the performance of algorithms when applied to very large input datasets. * the behavior of physical systems when they are very large. * in accident analysis when identifying the causation of crash through count modeling with large number of crash counts in a given time and space. The simplest example is, when considering a function f(n), there is a need to describe its properties when n becomes very large. Thus, if f(n) = n2+3n, the term 3n becomes insignificant compared to n2 when n is very large. The function f(n) is said to be asymptotically equivalent to n2 as n → ∞, and this is written symbolically as f(n) ~ n2.
相关概念
Lower Bound    
Markov Chain    
Steady State    
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