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

**References**:**real world solutions for a fractional permutation***From:*Roger Bagula <rlbagula@sbcglobal.net>