An iterative function is a mathematical function that is applied repeatedly, where the output of one application becomes the input for the next. This process creates a sequence of values that can exhibit complex behavior, especially in the context of fractals, where small changes in the input can lead to vastly different outputs. In the study of fractals, iterative functions are crucial for generating sets like the Mandelbrot set and Julia sets, showcasing how simple rules can produce intricate patterns.
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