Difference between revisions of "Factorial"

Latest revision as of 01:24, 16 January 2016

Factorial(n)

Computes the factorial of a positive integer «n». The factorial of a positive integer is defined as:

n! = Product(1..n)

and can also be obtained by means of GammaFn as

n! = GammaFn(n + 1)

The factorial function grows very rapidly, resulting in a numeric overflow when «n» > 170. However, the log factorial can often be used in its place, which can be obtained using:

LGamma(n + 1)

Library

Math

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 [[category:Math Functions]]
-{{stub}}
+[[Category:Doc Status C]] <!-- For Lumina use, do not change -->
+== Factorial(n) ==
+Computes the factorial of a positive integer «n».  The factorial of a positive integer is defined as:
+:<code>n! = Product(1..n)</code>
+and can also be obtained by means of [[GammaFn]] as
+:<code>n! = GammaFn(n + 1)</code>
+The factorial function grows very rapidly, resulting in a numeric overflow when ''«n» > 170''.  However, the log factorial can often be used in its place, which can be obtained using:
+:<code>LGamma(n + 1)</code>
+== Library ==
+Math
+== See Also ==
+* [[Product]]
+* [[GammaFn]] : The gamma function
+* [[LGamma]]: The natural logarithm of the gamma function
+* [[Combinations]]
+* [[Permutations]]