iteration$41190$ - ορισμός. Τι είναι το iteration$41190$
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Τι (ποιος) είναι iteration$41190$ - ορισμός

MATHEMATICAL OPERATION OF COMPOSING A FUNCTION WITH ITSELF REPEATEDLY
Picard sequence; Function iteration; Function Iteration; Iterated map; Fractional iteration; Iterative functional-differential equation; Iteration orbit; Iterative function
  • ''F''}}<br
/>is  '''iterated'''  indefinitely,   then  ''A ''  and  ''K''<br
/>are  the  starting  points  of  two  infinite  [[spiral]]s.
  • 6}}) is shown.

Iterated function         
In mathematics, an iterated function is a function (that is, a function from some set to itself) which is obtained by composing another function with itself a certain number of times. The process of repeatedly applying the same function is called iteration.
Lloyd's algorithm         
METHOD FOR CREATING GEOMETRIC CENTROIDAL TESSELLATIONS FROM POINTS
Lloyd's Algorithm; Voronoi iteration; Lloyds algorithm
In electrical engineering and computer science, Lloyd's algorithm, also known as Voronoi iteration or relaxation, is an algorithm named after Stuart P. Lloyd for finding evenly spaced sets of points in subsets of Euclidean spaces and partitions of these subsets into well-shaped and uniformly sized convex cells.
Rayleigh quotient iteration         
Rayleigh iteration
Rayleigh quotient iteration is an eigenvalue algorithm which extends the idea of the inverse iteration by using the Rayleigh quotient to obtain increasingly accurate eigenvalue estimates.

Βικιπαίδεια

Iterated function

In mathematics, an iterated function is a function X → X (that is, a function from some set X to itself) which is obtained by composing another function f : X → X with itself a certain number of times. The process of repeatedly applying the same function is called iteration. In this process, starting from some initial object, the result of applying a given function is fed again in the function as input, and this process is repeated. For example on the image on the right:

L = F {\displaystyle {\mathit {F}}\,} ( K ),   M = F F {\displaystyle {\mathit {F}}\,\circ {\mathit {F}}\,} ( K ) = F 2 {\displaystyle {\mathit {F}}\;^{2}\,} ( K ),
with the circle‑shaped symbol of function composition.

Iterated functions are objects of study in computer science, fractals, dynamical systems, mathematics and renormalization group physics.