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  2. Factorial - Wikipedia

    en.wikipedia.org/wiki/Factorial

    For example, 9!! = 1 × 3 × 5 × 7 × 9 = 945. Double factorials are used in trigonometric integrals, [92] in expressions for the gamma function at half-integers and the volumes of hyperspheres, [93] and in counting binary trees and perfect matchings. [91] [94] Exponential factorial

  3. Double factorial - Wikipedia

    en.wikipedia.org/wiki/Double_factorial

    The factorial of a positive n may be written as the product of two double factorials: [3]! =!! ...

  4. Factorial number system - Wikipedia

    en.wikipedia.org/wiki/Factorial_number_system

    The term "factorial number system" is used by Knuth, [3] while the French equivalent "numération factorielle" was first used in 1888. [4] The term "factoradic", which is a portmanteau of factorial and mixed radix, appears to be of more recent date.

  5. Falling and rising factorials - Wikipedia

    en.wikipedia.org/wiki/Falling_and_rising_factorials

    An alternative notation for the rising factorial () is the less common () +. When () + is used to denote the rising factorial, the notation () is typically used for the ordinary falling factorial, to avoid confusion. [3]

  6. Stirling's approximation - Wikipedia

    en.wikipedia.org/wiki/Stirling's_approximation

    In mathematics, Stirling's approximation (or Stirling's formula) is an asymptotic approximation for factorials. It is a good approximation, leading to accurate results even for small values of . It is named after James Stirling, though a related but less precise result was first stated by Abraham de Moivre. [1] [2] [3]

  7. List of mathematical series - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_series

    2.3 Trigonometric, inverse trigonometric, hyperbolic, and inverse hyperbolic functions relationship 2.4 Modified-factorial denominators 2.5 Binomial coefficients

  8. NYT ‘Connections’ Hints and Answers Today, Tuesday, February 11

    www.aol.com/nyt-connections-hints-answers-today...

    3. Essential items for a relaxing activity/workout. 4. The words in this category precede a three-letter noun (hint: the noun typically refers to a lid or cover for something).

  9. Recurrence relation - Wikipedia

    en.wikipedia.org/wiki/Recurrence_relation

    The factorial is defined by the recurrence relation ! = ... there is also a nice method to solve it: [3] + ...