Re: real world solutions for a fractional permutation

• To: mathgroup at smc.vnet.net
• Subject: [mg77021] Re: [mg76994] real world solutions for a fractional permutation
• From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
• Date: Thu, 31 May 2007 05:31:55 -0400 (EDT)
• References: <200705310728.DAA05594@smc.vnet.net>

```On 31 May 2007, at 16:28, Roger Bagula wrote:

> This type of solution comes up in algebra theory for symmetric type
> groups:
> Solve[(4+q)!-40==0,q]
> Solve[Gamma[5+q]-40==0,q]
> The Mathematica output refuses to give a number.
> I worked at it a little.
> Factorial:
> (4+q)!=40
> gives:
> 0.331291631797621
> Gamma[5+q]=40
> 0.3312924244499
> They stop agreeing at the 6th place in Mathematica.
> I don't have a good program for either of them and essentually did
> them
> by hand
> one digit at a time.
>
> Something is wrong with how I'm calculating them for sure.
>

Yes, you are certianly about that.

FindRoot[Gamma[5 + q] - 40 == 0, {q, 0}, WorkingPrecision -> 20]
{q -> 0.33129242449971346584}
FindRoot[(4 + q)! - 40 == 0, {q, 0}, WorkingPrecision -> 20]
{q -> 0.33129242449971346584}

Andrzej Kozlowski

```

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