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August 24th, 2011, 02:51 AM   #1
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Computing Factorial of a Number

Referring to the link for Factorial

http://en.wikipedia.org/wiki/Factorial

The formula for computing Factorial of a Non Negative Number is

n!=n*(n-1)! if n > 0

0! = 1
5!= 5*(5-1)! = 120

In the first case by the convention that the product of no numbers at all is 1 as defined by Wikipedia.

Here 0!=1, because the product of no numbers at all is 1.

Why 0!=1 ? and not Undefined similar to any number divided by zero is Undefined or Infinite OR 0!=0, because the definition is product of no numbers
at all is 1.

i.e

why

0! = 0

or

0! = Undefined or Infinite

Instead of 0! = 1

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Prashant S Akerkar
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August 24th, 2011, 03:20 AM   #2
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Re: Computing Factorial of a Number

Quote:
Originally Posted by prashantakerkar
Referring to the link for Factorial

http://en.wikipedia.org/wiki/Factorial
Try reading something other than Wikipedia. Better still, try reading the entire Wikipedia article. In that article there were at least four different reasons given as to why it is generally agreed upon by mathematicians that by convention 0! = 1.

When you are done with that, look up Gamma function.
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August 24th, 2011, 09:19 AM   #3
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Re: Computing Factorial of a Number

Quote:
The formula for computing Factorial of a Non Negative Number is

n!=n*(n-1)! if n > 0
Let n = 1:

1! = 1*(1-1)!

1 = 0!
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August 24th, 2011, 06:10 PM   #4
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Re: Computing Factorial of a Number

Thank you.

Also check these links below

http://www.allexperts.com/user.cgi?m=6& ... ID=4914780
http://www.allexperts.com/user.cgi?m=6& ... ID=4881366
http://www.allexperts.com/user.cgi?m=6& ... ID=5019934

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Prashant S Akerkar
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August 24th, 2011, 06:31 PM   #5
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Re: Computing Factorial of a Number

Thank you.

Can we also say similar to even number, odd number, Fibonacci, Reflective number (looking numbers in mirror - offering symmetry), Reflective character (looking characters - upper and lower case - offering symmetry viz A...Z and a ...z) a factorial number series ?

i.e.

1,2,6,24,120,720 ....

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Prashant S Akerkar
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August 24th, 2011, 06:37 PM   #6
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Re: Computing Factorial of a Number

Thank you.

Did I miss the 0! in the Factorial series?

So it will be

1,1,2,6,24,120,720 ...

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Prashant S Akerkar
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August 25th, 2011, 12:04 AM   #7
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Quote:
Originally Posted by prashantakerkar
Can we also say similar to even number, ...
I'm not sure what you are asking. It's easy enough to compute even numbers. What other similarity do you have in mind?
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August 25th, 2011, 03:52 AM   #8
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Re: Computing Factorial of a Number

Thank you.

I mean similar to even number, odd number, square, Fibonacci series, prime number we can have the factorial number series

even number : 2, 4, 6, 8, 10 , 12 .....

odd number : 1, 3, 5, 7, 9, 11, 13 .....

square : 1, 4, 9, 16, 25, 36, 49 .....

Fibonacci : 0, 1, 1, 2, 3, 5, 8, 13, 21, 34 ....

prime : 2,3,5,7,11,13,17,19 .....

factorial number : 1,1,2,6,24,120, 720 .....

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August 25th, 2011, 06:33 PM   #9
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Re: Computing Factorial of a Number

There is not similarity between factorial function and Fibonacci number, but they have one thing in common; namely, they both are recursive.
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November 15th, 2011, 10:55 PM   #10
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Re: Computing Factorial of a Number

Thank you.

Attaching Image ....

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Prashant S Akerkar
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File Type: jpg Factorial.jpg (7.2 KB, 285 views)
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