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  2. Factorial - Wikipedia

    en.wikipedia.org/wiki/Factorial

    TI SR-50A, a 1975 calculator with a factorial key (third row, center right) The factorial function is a common feature in scientific calculators. [73] It is also included in scientific programming libraries such as the Python mathematical functions module [74] and the Boost C++ library. [75]

  3. Factorial number system - Wikipedia

    en.wikipedia.org/wiki/Factorial_number_system

    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)!

  4. Primorial - Wikipedia

    en.wikipedia.org/wiki/Primorial

    p n # as a function of n, plotted logarithmically.. For the n th prime number p n, the primorial p n # is defined as the product of the first n primes: [1] [2] # = =, where p k is the k th prime number.

  5. Generating function - Wikipedia

    en.wikipedia.org/wiki/Generating_function

    The "Free Parameter" method is another method (called "snake oil" by H. Wilf) to evaluate these sums. Both methods discussed so far have n as limit in the summation. When n does not appear explicitly in the summation, we may consider n as a "free" parameter and treat s n as a coefficient of F ( z ) = Σ s n z n , change the order of the ...

  6. Arbitrary-precision arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arbitrary-precision_arithmetic

    But if exact values for large factorials are desired, then special software is required, as in the pseudocode that follows, which implements the classic algorithm to calculate 1, 1×2, 1×2×3, 1×2×3×4, etc. the successive factorial numbers. constants: Limit = 1000 % Sufficient digits.

  7. Multiple factor analysis - Wikipedia

    en.wikipedia.org/wiki/Multiple_factor_analysis

    Individuals are the products. Each jury is a group of variables. We want to achieve a factorial analysis in which two products are similar if they were evaluated in the same way by both juries. Multidimensional time series variables are measured on individuals. These measurements are made at dates. There are many ways to analyse such data set.

  8. Yates analysis - Wikipedia

    en.wikipedia.org/wiki/Yates_Analysis

    A fractional factorial design contains a carefully chosen subset of these combinations. The criterion for choosing the subsets is discussed in detail in the fractional factorial designs article. Formalized by Frank Yates , a Yates analysis exploits the special structure of these designs to generate least squares estimates for factor effects for ...

  9. Borwein's algorithm - Wikipedia

    en.wikipedia.org/wiki/Borwein's_algorithm

    Start by setting [4] = = = + Then iterate + = + + = (+) + + = (+ +) + + + Then p k converges quadratically to π; that is, each iteration approximately doubles the number of correct digits.The algorithm is not self-correcting; each iteration must be performed with the desired number of correct digits for π 's final result.