Days payable outstanding: Difference between revisions

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Linked COGS term to its wiki page
 
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Reference to 'three measurements' only lists two measurements. I believe the three are DPO, Days Sales Outstanding and Days Sales of Inventory.
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In [[mathematics]], the '''Fibonorial''' ''n''!<sub>''F''</sub>, also called the '''Fibonacci factorial''', where ''n'' is a nonnegative integer, is defined as the product of the first ''n'' positive [[Fibonacci numbers]], i.e.
 
:<math>{n!}_F := \prod_{i=1}^{n} F_i,\quad n \ge 1, \text{ and } 0!_F := 1, </math>
 
where ''F''<sub>''i''</sub> is the ''i''<sup>th</sup> Fibonacci number. (0!<sub>''F''</sub> is 1 since it is the [[empty product]].)
__TOC__
The Fibonorial of ''n'' (''n''!<sub>''F''</sub>) is defined analogously to the [[factorial]] of ''n'' (''n''!).  
 
The Fibonorial numbers are used in the definition of [[Fibonomial coefficient]]s (or Fibonacci-binomial coefficients) similarly as the factorial numbers are used in the definition of [[binomial coefficients]].
 
== Almost-Fibonorial numbers ==
 
Almost-Fibonorial numbers: ''n''!<sub>''F''</sub> &minus; 1.
 
It is interesting to look for [[prime numbers]] among the [[almost-Fibonorial numbers]], i.e. the [[almost-Fibonorial primes]].
 
== Quasi-Fibonorial numbers ==
 
Quasi-Fibonorial numbers: ''n''!<sub>''F''</sub> + 1.
 
It is interesting to look for [[prime numbers]] among the [[quasi-Fibonorial numbers]], i.e. the [[quasi-Fibonorial primes]].
 
== Sequences ==
 
Cf. {{OEIS2C|A003266}} Product of first ''n'' nonzero Fibonacci numbers ''F''(1), ..., ''F''(''n'').  
 
Cf. {{OEIS2C|A059709}} and {{OEIS2C|A053408}} for ''n'' such that ''n''!<sub>''F''</sub> &minus; 1 and ''n''!<sub>''F''</sub> + 1 are primes.
 
==References==
 
* {{cite web
| url        = http://mathworld.wolfram.com/Fibonorial.html
| title      = Fibonorial
| first      = Eric W.
| last        = Weisstein
| work        = MathWorld
| publisher  = Wolfram Research
| accessdate  = 19 December 2009
}}
 
 
[[Category:Fibonacci numbers]]
 
[[fr:Analogues de la factorielle#Factorielle de Fibonacci]]

Revision as of 19:46, 23 October 2013

In mathematics, the Fibonorial n!F, also called the Fibonacci factorial, where n is a nonnegative integer, is defined as the product of the first n positive Fibonacci numbers, i.e.

n!F:=i=1nFi,n1, and 0!F:=1,

where Fi is the ith Fibonacci number. (0!F is 1 since it is the empty product.)

The Fibonorial of n (n!F) is defined analogously to the factorial of n (n!).

The Fibonorial numbers are used in the definition of Fibonomial coefficients (or Fibonacci-binomial coefficients) similarly as the factorial numbers are used in the definition of binomial coefficients.

Almost-Fibonorial numbers

Almost-Fibonorial numbers: n!F − 1.

It is interesting to look for prime numbers among the almost-Fibonorial numbers, i.e. the almost-Fibonorial primes.

Quasi-Fibonorial numbers

Quasi-Fibonorial numbers: n!F + 1.

It is interesting to look for prime numbers among the quasi-Fibonorial numbers, i.e. the quasi-Fibonorial primes.

Sequences

Cf. Physiotherapist Rave from Cobden, has hobbies and interests which includes skateboarding, commercial property for sale developers in singapore and coin collecting. May be a travel freak and in recent years made a journey to Wet Tropics of Queensland. Product of first n nonzero Fibonacci numbers F(1), ..., F(n).

Cf. Physiotherapist Rave from Cobden, has hobbies and interests which includes skateboarding, commercial property for sale developers in singapore and coin collecting. May be a travel freak and in recent years made a journey to Wet Tropics of Queensland. and Physiotherapist Rave from Cobden, has hobbies and interests which includes skateboarding, commercial property for sale developers in singapore and coin collecting. May be a travel freak and in recent years made a journey to Wet Tropics of Queensland. for n such that n!F − 1 and n!F + 1 are primes.

References

fr:Analogues de la factorielle#Factorielle de Fibonacci