Division Factorial


1

1 Division Factorial

The prospect of the Division Factorial follows the same concept of multiplicative factor. The same operationsMathworldPlanetmath 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 formulaMathworldPlanetmathPlanetmath approach to these results. However, it is urgent to talk about divisive factor. As you think of the beginning, not the multiplicative inversionPlanetmathPlanetmath extensive. It is elementary that the corporeality of Factor Theory arises simply. About natural numberMathworldPlanetmath n which is the productPlanetmathPlanetmath 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=8333×103

applied by;

n+1(n+1)!=ifnisgrowing,

Otherwise, decreasing the following sequenceMathworldPlanetmath:

5:4:3:2:1=208333×101

It is applied by:

n(n-1)!=ifnisdecreasing,

References

  • 1 FERNÂNDESKY, PAULO., 2013. Ös Teoremas. N. (Ed.). Escrytos of the distribution. Lisboa, 2013. p.22-38. (Statistics, Kindle, Artigo.
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 TheoremMathworldPlanetmath
Classification msc 11A51 Division Factorial