Division Factorial

Division Factorial

1

1 Division Factorial

The prospect of the Division Factorial follows the same concept of multiplicative factor. The same operations known since the twelfth century. The same logical properties that would be studied later in 1808 by the mathematician Christian Kramp which introduced the notation n!. Stirling also presented a formula approach to these results. However, it is urgent to talk about divisive factor. As you think of the beginning, not the multiplicative inversion extensive. It is elementary that the corporeality of Factor Theory arises simply. About natural number n which is the product of all positive integers less than or equal to n. Demonstrate exemplary one truth and accuracy, which supports more than a demonstration [1]. Likewise, presents the multiplicative factor, which has similar properties thereto. Therefore, evidenced in the following series:

$$1:2:3:4:5=8333\mathrm{\dots }\times {10}^3$$

applied by;

$$\frac{n+1}{(n+1)!}=ifnisgrowing,$$

Otherwise, decreasing the following sequence:

$$5:4:3:2:1=208333\mathrm{\dots }\times {10}^1$$

It is applied by:

$$\frac{n}{(n-1)!}=ifnisdecreasing,$$

Title	Division Factorial
Canonical name	DivisionFactorial
Date of creation	2013-10-30 22:15:55
Last modified on	2013-10-30 22:15:55
Owner	Paulo Fernandesky (1000738)
Last modified by	Paulo Fernandesky (1000738)
Numerical id	7
Author	Paulo Fernandesky (1000738)
Entry type	Theorem
Classification	msc 11A51 Division Factorial