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#2 2012-10-25 15:45:29
- bobbym
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Re: Factorial
Hi;
(-1) ! does not exist. All the negative integers of the factorial function are equal to infinity.
I would use a Taylor series for some of them. How much accuracy do you need.
Basically though you would use a computer or Wolfram Alpha to look those up. If your teacher wants to see some method then how is it you do not know that method? If I use series expansion he/she may not want that method used. So provide me with what method is to be used.
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#4 2012-10-25 20:43:25
- bobbym
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Re: Factorial
Hi;
Those are all difficult but here goes nothing!
Let's try (.1)! first. For that we use a series and a trick.
It is in nested or Horner form for fast computation. The series is best for values >=5 so we put in z = 5.1
We take the exponential of both sides and get.
Now to get .1! we use a simple relation:
So
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#6 2012-10-25 22:41:49
- bobbym
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Re: Factorial
For i! use this truncated series:
Substituting z = i you get
In mathematics, you don't understand things. You just get used to them.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.
#7 2012-10-26 03:25:29
- zetafunc.
- Guest
Re: Factorial
Also, for (1+i)!, you can find that using bobbym's answer, since