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  2. Double factorial - Wikipedia

    en.wikipedia.org/wiki/Double_factorial

    In mathematics, the double factorial of a number n, denoted by n‼, is the product of all the positive integers up to n that have the same parity (odd or even) as n. [1] That is, n ! ! = ∏ k = 0 ⌈ n 2 ⌉ − 1 ( n − 2 k ) = n ( n − 2 ) ( n − 4 ) ⋯ . {\displaystyle n!!=\prod _{k=0}^{\left\lceil {\frac {n}{2}}\right\rceil -1}(n-2k ...

  3. Lists of integrals - Wikipedia

    en.wikipedia.org/wiki/Lists_of_integrals

    Integration is the basic operation in integral calculus.While differentiation has straightforward rules by which the derivative of a complicated function can be found by differentiating its simpler component functions, integration does not, so tables of known integrals are often useful.

  4. Wallis' integrals - Wikipedia

    en.wikipedia.org/wiki/Wallis'_integrals

    The sequence () is decreasing and has positive terms. In fact, for all : >, because it is an integral of a non-negative continuous function which is not identically zero; + = ⁡ + ⁡ = (⁡) (⁡) >, again because the last integral is of a non-negative continuous function.

  5. Category:Integer sequences - Wikipedia

    en.wikipedia.org/wiki/Category:Integer_sequences

    Download as PDF; Printable version; ... Double factorial; Double Mersenne number; ... Meander (mathematics) Ménage problem; Mersenne number;

  6. List of integrals of Gaussian functions - Wikipedia

    en.wikipedia.org/wiki/List_of_integrals_of...

    In the previous two integrals, n!! is the double factorial: for even n it is equal to the product of all even numbers from 2 to n, and for odd n it is the product of all odd numbers from 1 to n; additionally it is assumed that 0!! = (−1)!! = 1.

  7. Factorial - Wikipedia

    en.wikipedia.org/wiki/Factorial

    Hindu scholars have been using factorial formulas since at least 1150, when Bhāskara II mentioned factorials in his work Līlāvatī, in connection with a problem of how many ways Vishnu could hold his four characteristic objects (a conch shell, discus, mace, and lotus flower) in his four hands, and a similar problem for a ten-handed god. [4]

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