Asymptotic Analysis Task

An Asymptotic Analysis Task is an analysis task that ...

• See: Big O Notation, Mathematical Analysis, Limit (Mathematics), Analysis of Algorithms, Physical System, Statistical Mechanics.

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References

2015

• (Wikipedia, 2015) ⇒ http://en.wikipedia.org/wiki/asymptotic_analysis Retrieved:2015-7-8.
  • In mathematical analysis, asymptotic analysis is a method of describing limiting behavior. The methodology has applications across science. Examples are
    • In applied mathematics, asymptotic analysis is used to build numerical methods to approximate equation solutions.
    • 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, an example being Statistical mechanics.
    • 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, when considering a function f(n), is when there is a need to describe its properties as becomes very large. Thus, if f(n) n²+3n, the term 3becomes insignificant compared to ², when is very large. The function f(n) is said to be "asymptotically equivalent to n² as → ∞", and this is written symbolically as f(n) ~ n².

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