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  2. Factorial - Wikipedia

    en.wikipedia.org/wiki/Factorial

    n ! {\displaystyle n!} In mathematics, the factorial of a non-negative integer , denoted by , is the product of all positive integers less than or equal to . 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.

  3. Falling and rising factorials - Wikipedia

    en.wikipedia.org/wiki/Falling_and_rising_factorials

    Falling and rising factorials. In mathematics, the falling factorial (sometimes called the descending factorial, [ 1] falling sequential product, or lower factorial) is defined as the polynomial. The rising factorial (sometimes called the Pochhammer function, Pochhammer polynomial, ascending factorial, [ 1] rising sequential product, or upper ...

  4. Factorial number system - Wikipedia

    en.wikipedia.org/wiki/Factorial_number_system

    Definition. The factorial number system is a mixed radix numeral system: the i -th digit from the right has base i, which means that the digit must be strictly less than i, and that (taking into account the bases of the less significant digits) its value is to be multiplied by (i − 1)! (its place value). Radix/Base. 8.

  5. Double factorial - Wikipedia

    en.wikipedia.org/wiki/Double_factorial

    Double factorial. The fifteen different chord diagrams on six points, or equivalently the fifteen different perfect matchings on a six-vertex complete graph. These are counted by the double factorial 15 = (6 − 1)‼. In mathematics, the double factorial of a number n, denoted by n‼, is the product of all the positive integers up to n that ...

  6. List of mathematical series - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_series

    List of mathematical series. This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. is a Bernoulli polynomial. is an Euler number. is the Riemann zeta function. is the gamma function. is a polygamma function. is a polylogarithm.

  7. C mathematical functions - Wikipedia

    en.wikipedia.org/wiki/C_mathematical_functions

    C mathematical operations are a group of functions in the standard library of the C programming language implementing basic mathematical functions. [ 1][ 2] All functions use floating-point numbers in one manner or another. Different C standards provide different, albeit backwards-compatible, sets of functions.

  8. Superfactorial - Wikipedia

    en.wikipedia.org/wiki/Superfactorial

    Superfactorial. In mathematics, and more specifically number theory, the superfactorial of a positive integer is the product of the first factorials. They are a special case of the Jordan–Pólya numbers, which are products of arbitrary collections of factorials.

  9. Operators in C and C++ - Wikipedia

    en.wikipedia.org/wiki/Operators_in_C_and_C++

    C++ also contains the type conversion operators const_cast, static_cast, dynamic_cast, and reinterpret_cast. The formatting of these operators means that their precedence level is unimportant. Most of the operators available in C and C++ are also available in other C-family languages such as C#, D, Java, Perl, and PHP with the same precedence ...