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iterated function

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  • Iterated function — In mathematics, iterated functions are the objects of deep study in computer science, fractals and dynamical systems. An iterated function is a function which is composed with itself, repeatedly, a process called iteration.DefinitionThe formal… …   Wikipedia

  • Iterated function system — In mathematics, iterated function systems or IFSs are a method of constructing fractals; the resulting constructions are always self similar.IFS fractals as they are normally called can be of any number of dimensions, but are commonly computed… …   Wikipedia

  • Iterated logarithm — In computer science, the iterated logarithm of n , written log* n (usually read log star ), is the number of times the logarithm function must be iteratively applied before the result is less than or equal to 1. The simplest formal definition is… …   Wikipedia

  • Iterated binary operation — In mathematics, an iterated binary operation is an extension of a binary operation on a set S to a function on finite sequences of elements of S through repeated application. Common examples include the extension of the addition operation to the… …   Wikipedia

  • Iterated monodromy group — In geometric group theory and dynamical systems the iterated monodromy group of a covering map is a group describing the monodromy action of the fundamental group on all iterations of the covering. It encodes the combinatorics and symbolic… …   Wikipedia

  • Function composition — For function composition in computer science, see function composition (computer science). g ∘ f, the composition of f and g. For example, (g ∘ f)(c) = #. In mathematics, function composition is the application of one function to the resul …   Wikipedia

  • iterated integral — noun : an integral of a function of several variables that is evaluated by finding the definite integral with respect to one variable and then the definite integral of the result with respect to the second and so continuing until the desired… …   Useful english dictionary

  • iterated integral — Math. 1. a double integral that is evaluated by first integrating the integrand with respect to one variable with the second variable being held constant and then integrating the resulting function with respect to the second variable. 2. a… …   Universalium

  • Ultra exponential function — Articleissues OR=January 2008 other=This article uses nonstandard notations, which are confusing and superfluous.In mathematics the ultra exponential function is a special case of the iterated exponential function more commonly known as tetration …   Wikipedia

  • Refinable function — In mathematics, in the area of wavelet analysis, a refinable function is a function which fulfills some kind of self similarity. A function varphi is called refinable with respect to the mask h if:varphi(x)=2cdotsum {k=0}^{N 1} h… …   Wikipedia

  • Artin-Mazur zeta function — In mathematics, the Artin Mazur zeta function is a tool for studying the iterated functions that occur in dynamical systems and fractals.It is defined as the formal power series :zeta f(z)=exp sum {n=1}^infty extrm{card} left( extrm{Fix} (f^n)… …   Wikipedia

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