"William Elliot" <firstname.lastname@example.org> wrote in message news:20110529232112.F87371@agora.rdrop.com... > On Sun, 30 May 2011, Chris Richardson wrote: >> On Mon, 30 May 2011 15:16:32 +1000, Brad Cooper wrote: >> >>> I cannot get the correct result for the inverse calculation of y = >>> x/log(x). >> >> Equations of this type are solvable in terms of the >> Lambert function: >> >> x = -y * W(-1/y), where W is the Lambert function >> > W(y) is the solution to y = xe^x; W(y).e^W(y) = y. > > You claim -yW(-1/y)/log(-yW(-1/y) = y. > > How so?
Hi Chris and William,
Thanks for taking the trouble to reply. I am trying to follow the thread of the ideas put forward by R. P. Boas Jr.
Are you able to shed any light on why the equation he gives "appears" not to produce correct results? He was such a great mathematician I am convinced I have got something wrong, but I simply cannot find where I have made an error. Some pointers would be greatly appreciated :-)