Division Factorial

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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:

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

applied by;

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

Otherwise, decreasing the following sequence:

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

It is applied by:

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

References

• 1 FERNÃNDESKY, PAULO., 2013. Ös Teoremas. N. (Ed.). Escrytos of the distribution. Lisboa, 2013. p.22-38. (Statistics, Kindle, Artigo.
Title Division Factorial DivisionFactorial 2013-10-30 22:15:55 2013-10-30 22:15:55 Paulo Fernandesky (1000738) Paulo Fernandesky (1000738) 7 Paulo Fernandesky (1000738) Theorem msc 11A51 Division Factorial