iteration$41190$ - translation to dutch
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iteration$41190$ - translation to dutch

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.

iteration      
n. Terugkeer
infinite loop         
  • A [[blue screen of death]] on [[Windows XP]]. "The [[device driver]] got stuck in an infinite loop."
PROGRAMMING IDIOM
Endless loop; Loop, Infinite; Infinite Loops; Infinite recursion; Neverending Loop; Alderson loop; While(true); While (true); While (True); While(True); While(TRUE); While (TRUE); While (1); While(1); For(;;); For (;;); Tight loops; Tight Loops; Tight Loop; Never ending loop; Infinite loops; Infinite Loop; Endless Loop (computing); Infinity loop; Unproductive loop; Infinite iteration; Unconditional loop; Unconditional loops; Endless loops
oneindige lus (bij computer,een terugkerend fout stuk van programma totdat het goedgemaakt wordt door buitenstander)

Definition

Iterate
·adv By way of iteration.
II. Iterate ·adj Uttered or done again; repeated.
III. Iterate ·vt To utter or do a second time or many times; to Repeat; as, to iterate advice.

Wikipedia

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.