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  2. Factorial - Wikipedia

    en.wikipedia.org/wiki/Factorial

    The factorial function is a common feature in scientific calculators. [73] It is also included in scientific programming libraries such as the Python mathematical functions module [74] and the Boost C++ library. [75]

  3. Stirling's approximation - Wikipedia

    en.wikipedia.org/wiki/Stirling's_approximation

    An alternative version uses the fact that the Poisson distribution converges to a normal distribution by the Central Limit Theorem. [5]Since the Poisson distribution with parameter converges to a normal distribution with mean and variance , their density functions will be approximately the same:

  4. Fixed-point combinator - Wikipedia

    en.wikipedia.org/wiki/Fixed-point_combinator

    In combinatory logic for computer science, a fixed-point combinator (or fixpoint combinator) [1]: p.26 is a higher-order function (i.e. a function which takes a function as argument) that returns some fixed point (a value that is mapped to itself) of its argument function, if one exists.

  5. Python (programming language) - Wikipedia

    en.wikipedia.org/wiki/Python_(programming_language)

    It ships with most Linux distributions, [230] AmigaOS 4 (using Python 2.7), FreeBSD (as a package), NetBSD, and OpenBSD (as a package) and can be used from the command line (terminal). Many Linux distributions use installers written in Python: Ubuntu uses the Ubiquity installer, while Red Hat Linux and Fedora Linux use the Anaconda installer.

  6. Memoization - Wikipedia

    en.wikipedia.org/wiki/Memoization

    In programming languages where functions are first-class objects (such as Lua, Python, or Perl [6]), automatic memoization can be implemented by replacing (at run-time) a function with its calculated value once a value has been calculated for a given set of parameters. The function that does this value-for-function-object replacement can ...

  7. Iterated function - Wikipedia

    en.wikipedia.org/wiki/Iterated_function

    Because the notation f n may refer to both iteration (composition) of the function f or exponentiation of the function f (the latter is commonly used in trigonometry), some mathematicians [citation needed] choose to use ∘ to denote the compositional meaning, writing f ∘n (x) for the n-th iterate of the function f(x), as in, for example, f ...

  8. Foreach loop - Wikipedia

    en.wikipedia.org/wiki/Foreach_loop

    The loop calls the Iterator::next method on the iterator before executing the loop body. If Iterator::next returns Some(_), the value inside is assigned to the pattern and the loop body is executed; if it returns None, the loop is terminated.

  9. Fixed-point iteration - Wikipedia

    en.wikipedia.org/wiki/Fixed-point_iteration

    The fixed point iteration x n+1 = cos x n with initial value x 1 = −1.. An attracting fixed point of a function f is a fixed point x fix of f with a neighborhood U of "close enough" points around x fix such that for any value of x in U, the fixed-point iteration sequence , (), (()), ((())), … is contained in U and converges to x fix.