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asymptotic growth

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  • Asymptotic analysis — This article is about the comparison of functions as inputs approach infinite. For asymptotes in geometry, see asymptotic curve. In mathematical analysis, asymptotic analysis is a method of describing limiting behavior. The methodology has… …   Wikipedia

  • asymptotic length — a parameter of the von Bertalanffy Growth Function, q.v., expressing the mean length the fish in a stock would attain if they were to grow for an infinitely long period. Not the largest observed size of a species …   Dictionary of ichthyology

  • asymptotic weight — a parameter of the von Bertalanffy Growth Function, q.v., expressing the mean weight the fish in a stock would attain if they were to grow for an infinitely long period …   Dictionary of ichthyology

  • Exponential growth — The graph illustrates how exponential growth (green) surpasses both linear (red) and cubic (blue) growth.   Exponential growth …   Wikipedia

  • Gromov's theorem on groups of polynomial growth — In mathematics, Gromov s theorem on groups of polynomial growth, named for Mikhail Gromov, characterizes finitely generated groups of polynomial growth, as those groups which have nilpotentsubgroups of finite index. The growth rate of a group is… …   Wikipedia

  • Subgroup growth — Im mathematics, subgroup growth is a branch of group theory, dealing with quantitative questions about subgroups of a given group. [citebook|title=Subgroup Growth|author=Alexander Lubotzky, Dan Segal|year=2003|publisher=Birkhäuser|id=ISBN… …   Wikipedia

  • von Bertalanffy growth curve — a model of individual fish growth as a function of time. Named after its proponent, Ludwig von Bertalanffy, this growth curve is an entry point to more complex models of the dynamics of fish populations. The growth equation is Lt = L∞1 e K(t to) …   Dictionary of ichthyology

  • Big O notation — In mathematics, big O notation is used to describe the limiting behavior of a function when the argument tends towards a particular value or infinity, usually in terms of simpler functions. It is a member of a larger family of notations that is… …   Wikipedia

  • Generating function — This article is about generating functions in mathematics. For generating functions in classical mechanics, see Generating function (physics). For signalling molecule, see Epidermal growth factor. In mathematics, a generating function is a formal …   Wikipedia

  • Dehn function — In the mathematical subject of geometric group theory, a Dehn function, named after Max Dehn, is an optimal function associated to a finite group presentation which bounds the area of a relation in that group (that is a freely reduced word in the …   Wikipedia

  • Divisor function — σ0(n) up to n = 250 Sigma function σ …   Wikipedia

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