final uniqueness condition ... probably tommy1729 Ultimate Fellow Posts: 1,924 Threads: 415 Joined: Feb 2009 07/28/2010, 04:30 PM d f^2 / d x^2 sexp(slog(x) + k) > 0 for all real x and all real k with 0 < k < Q where Q is any nonzero positive real. assuming sexp resp slog to be C^2 of course , i 'believe' this condition implies analytic as well. is this equivalent to d f^2 / d x^2 sexp(x) > 0 for all positive real x ? i assume because of the substitution x = sexp(y) sexp(slog(x) + k) = sexp(y + k) d sexp(y) ... i believe the analogue uniqueness condition for other function as exp(x) that dont have a real fixpoint , map R to R and safisfy f ' (real) > 0 and f '' (real) > 0 to hold. (this is an improved version of an earlier thread.) regards tommy1729 « Next Oldest | Next Newest »

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