Factorial
Definition
Let be a natural number. The factorial of is the natural number defined by the recursion For this gives , the product of the positive integers up to .
Remarks
The first values are , , , , and . The value is the number of permutations of an -element set. The convention agrees with the empty product, and it makes the factorial formula for binomial coefficients true for and .
Where this leads
15 pages build on this one.
- Factorial formula for binomial coefficients
- Formula for the number of derangements
- Poisson point process
- Mean of the Poisson distribution
- Number of permutations
- Poisson distribution
- Poisson limit theorem
- Sum of independent Poisson random variables
- Boolean model
- Falling and rising factorials
- Delta method
- Laplace transform of the error function
- Noncentral chi-squared distribution
- Generalized method of moments
- Laplace transform of a power function
Further reading
- Web https://en.wikipedia.org/wiki/Factorial, Definition
About this page
| Tag | 0WFCGVMRRC |
|---|---|
| URI | m2://0WFCGVMRRC |
| Kind | definition |
| Writing | W1 stated |
| MSC | 05A10 |
| Defines | Factorial |
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