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  2. Factorial - Wikipedia

    en.wikipedia.org/wiki/Factorial

    The factorial of also equals the product of with the next smaller factorial: ! = () = ()! For example, ! =! = = The value of 0! is 1, according to the convention for an empty product . [ 1 ]

  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. List of formulae involving π - Wikipedia

    en.wikipedia.org/wiki/List_of_formulae_involving_π

    where C is the circumference of a circle, d is the diameter, and r is the radius.More generally, = where L and w are, respectively, the perimeter and the width of any curve of constant width.

  5. List of mathematical series - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_series

    This fact can also be applied to finite series of rational functions, allowing the result to be computed in constant time even when the series contains a large number of terms. Exponential function [ edit ]

  6. Falling and rising factorials - Wikipedia

    en.wikipedia.org/wiki/Falling_and_rising_factorials

    In this article, the symbol () is used to represent the falling factorial, and the symbol () is used for the rising factorial. These conventions are used in combinatorics , [ 4 ] although Knuth 's underline and overline notations x n _ {\displaystyle x^{\underline {n}}} and x n ¯ {\displaystyle x^{\overline {n}}} are increasingly popular.

  7. 'The end of seniority': Younger Democrats are challenging ...

    www.aol.com/end-seniority-younger-democrats...

    As time went on, it pushed back against proposals for term limits for committee leadership posts and offered its strong support for Pelosi and her team, which protected her — and it. That ...

  8. Stanley recalls 2.6 million mugs after reports of burns from ...

    www.aol.com/stanley-recalls-2-6-million...

    Consumers can also call Stanley at 866-792-5445 Monday through Friday from 8 a.m. to 5 p.m. Eastern Time. The recall number is 25-063. Trump reportedly considering military action against Iran.

  9. Generating function - Wikipedia

    en.wikipedia.org/wiki/Generating_function

    Similarly, the number of ways to pay n ≥ 0 cents in coin denominations of values in the set {1, 5, 10, 25, 50} (i.e., in pennies, nickels, dimes, quarters, and half dollars, respectively) is generated by the product =, and moreover, if we allow the n cents to be paid in coins of any positive integer denomination, we arrive at the generating ...