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  2. Factorial - Wikipedia

    en.wikipedia.org/wiki/Factorial

    TI SR-50A, a 1975 calculator with a factorial key (third row, center right) 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. Double factorial - Wikipedia

    en.wikipedia.org/wiki/Double_factorial

    The distinct polynomial expansions in the previous equations actually define the α-factorial products for multiple distinct cases of the least residues x ≡ n 0 mod α for n 0 ∈ {0, 1, 2, ..., α − 1}. The generalized α-factorial polynomials, σ (α) n (x) where σ (1)

  4. Derangement - Wikipedia

    en.wikipedia.org/wiki/Derangement

    (n factorial) is the number of n-permutations; !n (n subfactorial) is the number of derangements – n-permutations where all of the n elements change their initial places. In combinatorial mathematics , a derangement is a permutation of the elements of a set in which no element appears in its original position.

  5. HP 35s - Wikipedia

    en.wikipedia.org/wiki/HP_35s

    Here is a sample program that computes the factorial of an integer number from 2 to 69 (ignoring the calculator's built-in factorial/gamma function). There are two versions of the example: one for algebraic mode and one for RPN mode. The RPN version is significantly shorter. Algebraic version:

  6. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    An expression like 1/2x is interpreted as 1/(2x) by TI-82, [3] as well as many modern Casio calculators [36] (configurable on some like the fx-9750GIII), but as (1/2)x by TI-83 and every other TI calculator released since 1996, [37] [3] as well as by all Hewlett-Packard calculators with algebraic notation.

  7. Stirling's approximation - Wikipedia

    en.wikipedia.org/wiki/Stirling's_approximation

    [1] [2] [3] One way of stating the approximation involves the logarithm of the factorial: ⁡ (!) = ⁡ + (⁡), where the big O notation means that, for all sufficiently large values of , the difference between ⁡ (!

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  9. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    1. Factorial: if n is a positive integer, n! is the product of the first n positive integers, and is read as "n factorial". 2. Double factorial: if n is a positive integer, n!! is the product of all positive integers up to n with the same parity as n, and is read as "the double factorial of n". 3.