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  2. Factorial number system - Wikipedia

    en.wikipedia.org/wiki/Factorial_number_system

    In combinatorics, the factorial number system, also called factoradic, is a mixed radix numeral system adapted to numbering permutations.It is also called factorial base, although factorials do not function as base, but as place value of digits.

  3. Factorion - Wikipedia

    en.wikipedia.org/wiki/Factorion

    Let be a natural number. For a base >, we define the sum of the factorials of the digits [5] [6] of , :, to be the following: ⁡ = =!. where = ⌊ ⁡ ⌋ + is the number of digits in the number in base , ! is the factorial of and

  4. Mixed radix - Wikipedia

    en.wikipedia.org/wiki/Mixed_radix

    3 Factorial number system. 4 Primorial number system. 5 References. ... The base for each digit is the number of corresponding units that make up the next larger unit ...

  5. Factorial - Wikipedia

    en.wikipedia.org/wiki/Factorial

    Every sequence of digits, in any base, is the sequence of initial digits of some factorial number in that base. [ 60 ] Another result on divisibility of factorials, Wilson's theorem , states that ( n − 1 ) ! + 1 {\displaystyle (n-1)!+1} is divisible by n {\displaystyle n} if and only if n {\displaystyle n} is a prime number . [ 52 ]

  6. List of numeral systems - Wikipedia

    en.wikipedia.org/wiki/List_of_numeral_systems

    The smallest base greater than binary such that no three-digit narcissistic number exists. 80: Octogesimal: Used as a sub-base in Supyire. 85: Ascii85 encoding. This is the minimum number of characters needed to encode a 32 bit number into 5 printable characters in a process similar to MIME-64 encoding, since 85 5 is only slightly bigger than 2 ...

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    The sun sets behind the closed Camp X-Ray detention facility at Guantánamo Bay Naval Base, Cuba, on April 17, 2019. "Most people don’t even know about it. We have 30,000 beds in Guantánamo to ...

  8. Stirling's approximation - Wikipedia

    en.wikipedia.org/wiki/Stirling's_approximation

    De Moivre gave an approximate rational-number expression for the natural logarithm of the constant. Stirling's contribution consisted of showing that the constant is precisely 2 π {\displaystyle {\sqrt {2\pi }}} .

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