Ivars Wrote:Actually, the beautiful formula I propose is:bo198214 Wrote:He actually wrote he does not know if it has. "There is no square superroot of 1/2, " . And it was Bromer in 1987 article. So it has solution in complex numbers.Ivars Wrote:Barrows said:But ... :

"... if x^x=1/2 has no solutions in real and complex numbers ... "

x= e^W(W(-ln2/2)).

ssqrt(x) = ln(x) / W(ln(x)), which, for x = 1/2, gives:

ssqrt(1/2) = ln(1/2) / W(ln(1/2)) = 0.26289282802173525.. + 0.4996694356833174.. i

Perfectly coherent with Henryk's formula.

GFR