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In C++11, this technique is known as generalized constant expressions (constexpr). [2] C++14 relaxes the constraints on constexpr – allowing local declarations and use of conditionals and loops (the general restriction that all data required for the execution be available at compile-time remains).
The factorial function of a positive integer is defined by the product of all positive integers not greater than [1]! = (). This may be written more concisely in product notation as [ 1 ] n ! = ∏ i = 1 n i . {\displaystyle n!=\prod _{i=1}^{n}i.}
program FactorialProg integer:: counter = 5 integer:: factorial = 1 factorial = factorial * counter counter = counter-1 do while (counter > 0)! Truth value is tested before the loop factorial = factorial * counter counter = counter-1 end do print *, factorial end program FactorialProg
Dim counter As Integer = 5 ' init variable and set value Dim factorial As Integer = 1 ' initialize factorial variable Do While counter > 0 factorial = factorial * counter counter = counter-1 Loop ' program goes here, until counter = 0 'Debug.Print factorial ' Console.WriteLine(factorial) in Visual Basic .NET
function factorial (n is a non-negative integer) if n is 0 then return 1 [by the convention that 0! = 1] else if n is in lookup-table then return lookup-table-value-for-n else let x = factorial(n – 1) times n [recursively invoke factorial with the parameter 1 less than n] store x in lookup-table in the n th slot [remember the result of n! for ...
Common notations are prefix notation (e.g. ¬, −), postfix notation (e.g. factorial n!), functional notation (e.g. sin x or sin(x)), and superscripts (e.g. transpose A T). Other notations exist as well, for example, in the case of the square root, a horizontal bar extending the square root sign over the argument can indicate the extent of the ...
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)!
Further terms are listed in the On-Line Encyclopedia of Integer Sequences as A001163 and A001164. ... Peter Luschny, Approximation formulas for the factorial function n!