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The formal definition of an iterated function on a set x follows Typically, a fold is presented with a combining function, a top node. Let x be a set and f

X → x be a function Fold is also termed as reduce, accumulate, aggregate, compress, or inject And where idx is the identity function on x and (f g) (x) = f (g(x)) denotes function composition

This notation has been traced to and john frederick william herschel in 1813

The official definition of pythonic is [2][e] an idea or piece of code which closely follows the most common idioms of the python language, rather than implementing code using concepts common to other languages For example, a common idiom in python is to loop over all elements of an iterable using a for statement. Moreover, c++11 allows foreach loops to be applied to any class that provides the begin and end functions

Primitive recursive function in computability theory, a primitive recursive function is, roughly speaking, a function that can be computed by a computer program whose loops are all for loops (that is, an upper bound of the number of iterations of every loop is fixed before entering the loop). [58] many other paradigms are supported via extensions, including design by contract [59][60] and logic programming The fractal flame is an example of an ifs with nonlinear functions The most common algorithm to compute ifs fractals is called the chaos game

It consists of picking a random point in the plane, then iteratively applying one of the functions chosen at random from the function system to transform the point to get a next point.

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