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 other math ... equation tommy1729 Ultimate Fellow Posts: 1,358 Threads: 330 Joined: Feb 2009 03/03/2009, 05:47 PM since this is not really (directly) related to tetration ill post it here as ' other math '. im intrested in Coo solutions to f(x) given a taylor series g(x) with positive radius. integral f(x - g(x)) dx = f(x) x. simple ? bo198214 Administrator Posts: 1,386 Threads: 90 Joined: Aug 2007 03/03/2009, 08:07 PM tommy1729 Wrote:since this is not really (directly) related to tetration ill post it here as ' other math '. im intrested in Coo solutions to f(x) given a taylor series g(x) with positive radius. integral f(x - g(x)) dx = f(x) x. simple ? Is $g(0)=0$? If so you can solve it exactly by comparing the coefficients of the powerseries. tommy1729 Ultimate Fellow Posts: 1,358 Threads: 330 Joined: Feb 2009 03/03/2009, 10:41 PM bo198214 Wrote:tommy1729 Wrote:since this is not really (directly) related to tetration ill post it here as ' other math '. im intrested in Coo solutions to f(x) given a taylor series g(x) with positive radius. integral f(x - g(x)) dx = f(x) x. simple ? Is $g(0)=0$? If so you can solve it exactly by comparing the coefficients of the powerseries. g(0) does not have to equal 0. in fact g(0) = 1 seems more intresting. yes , i know we can solve by comparing the coefficients of the powerseries ... but , just as with regular iteration and similar , we can get a taylor series ... but we wonder what ' that is ' i would like to see f(x) in terms of g(x) and elementary functions and integrals ... " a formula " thus. however perhaps that doesnt exist ?? regards tommy1729 bo198214 Administrator Posts: 1,386 Threads: 90 Joined: Aug 2007 03/03/2009, 10:53 PM tommy1729 Wrote:i would like to see f(x) in terms of g(x) and elementary functions and integrals ... " a formula " thus. however perhaps that doesnt exist ?? Mostly those formulae dont exist (outside school mathematics ). tommy1729 Ultimate Fellow Posts: 1,358 Threads: 330 Joined: Feb 2009 03/03/2009, 11:16 PM bo198214 Wrote:tommy1729 Wrote:i would like to see f(x) in terms of g(x) and elementary functions and integrals ... " a formula " thus. however perhaps that doesnt exist ?? Mostly those formulae dont exist (outside school mathematics ). what do you mean by " outside of school math " ? i dont get the message nor the humor ? are you trying to say , apart from some trivial cases thought in school ? like perhaps g(x) = sqrt(x+1) regards tommy1729 « Next Oldest | Next Newest »

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