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What are some of the applications of iteration? ... An iteration is a repetition of an operation. In math, iterations often involve taking the output of a function and plugging it back in - repeating a process using each output as the input for the following iteration.
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mathforum.org/library/drmath/view/54531.html
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The Mandelbrot set is generated by iteration. Iteration means to repeat a process over and over again. In mathematics this process is most often the application of a mathematical function. For the Mandelbrot set, the function involved is the simplest nonlinear function imaginable, namely x2 + c, where c is a constant.
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math.bu.edu/DYSYS/FRACGEOM/node1.html
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Key Phrase page for mathematical iteration: Books containing the phrase mathematical iteration ... Featured Books for "mathematical iteration" ... See all pages with references to "mathematical iteration".
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amazon.com/phrase/mathematical-iteration
amazon.com/phrase/mathematical-iteration
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internetmenu_en...
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db.cwi.nl/rapporten/abstract.php?abstractnr=1612
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This routine, which must have been frustrating on a less-than-accurate day, is analogous to mathematical iteration. By performing the action over and over again, using the results of each shot to refine the performance of the next shot, Jordan fine-tuned a technique that predictably put the ball through the hoop.
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www.novelguide.com/a/discover/rlm_0001_0001_0/rlm_0001_...
www.novelguide.com/a/discover/rlm_0001_0001_0/rlm_0001_0001_0_00045.html
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In other words, iteration is often the optimal method of solution for getting things done efficiently. Even with mathematical stuff like finding roots of quartics, ... This type of mathematical iteration is called a 'numerical' method. We normally use numerical methods when exact solutions are too hairy to contemplate.
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www.angelpage.co.uk/fractalworld/week5.htm
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"Bahman Kalantari has created a beautiful new genre of mathematical visual art, that is quite distinct from Fractal Art, and is just as beautiful. Not only is the art beautiful, but the mathematics and the elegant algorithms that generate it.
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A 50 year mathematical iteration of the tuberculosis situation has been prepared using the available demographic, epidemiologic & technical information and applying some assumed values for efficiency of intervention measures (i.e., the district tuberculosis Programme-DTP).
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Carlos Martinez-Yanes and Hong-Kun Xu (2006) ... You are here: Home → Research → School Publications → Strong convergence of the CQ method for fixed point iteration processes...
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math.ukzn.za.org/research/bibliographyfolder.2006-02-02...
math.ukzn.za.org/research/bibliographyfolder.2006-02-02.8867424259/MR2215815
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