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Summary Of: Factorial

The factorial operation is encountered in many different areas of mathematics... The definition of the factorial function can also be... Factorial at the complex plane... The factorial function is formally defined by... The factorial function can also be defined for non... Although the factorial function has its roots in... The only factorial that is also a prime number is 2... the factorial is often used as an example to illustrate recursive functions... so no reasonable specification of a factorial function using fixed... The largest factorial that most calculators can handle is 69... which is the largest factorial that can be represented as a... Larger factorial values can be approximated using... extends the factorial to a smooth function defined for all non... the factorial function can also be defined for non... Since the factorial is extended by the Pi function... Factorial at the complex plane... Factorial at the complex plane... Amplitude and phase of factorial of complex argument... function allows evaluation of factorial of complex argument... Equilines of amplitude and phase of factorial are shown in figure... factorial can be approximated through the integral of the... above are sufficient for the evaluation of the factorial with the complex... allows one to compute the factorial for an integer given the factorial for a... be inverted so that one can compute the factorial for an integer given the factorial for a... recursion does not permit us to compute the factorial of a negative integer... and thus blocks us from computing a factorial value for every negative integer... are several other integer sequences similar to the factorial that are used in mathematics... A function related to the factorial is the product of all... a notational ambiguity with the composition of the factorial function with itself... The double factorial notation is not essential... The introduction of the double factorial is motivated by the fact that it occurs rather frequently in combinatorial and other settings... of the double factorial in terms of the ordinary factorial... the double factorial notation is hardly shorter than expressing the same value using ordinary factorials... the double factorial for odd integers can be extended to most real and complex numbers... The double factorial is the most commonly used variant... factorial of 4 is... factorial function can be generalized to... List of factorial and binomial topics... List of factorial and binomial topics... Factorial calculators and algorithms... Factorial and binomial topics... Factorial and binomial topics...

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Factorial".