I just did the ultimate and got a 139... (it's 1 am... c'mon...) But... I guessed two on the polyhedrons (Too lazy to do them) and also didn't answer one language question (Because my native language is not english)
I guess that would leave me around 145... not a big thing, oh well, I'll just...
That is an equation that shows the "complex variable" version of arcsinh (x) as equal to the integral version of it (on real values). Like a definition. You obtain the first with the complex functions sinhz and some algebra, and the second one with a trigonometric substitution (or using...
hmmm...
Hmmm ... Matlab gave me this answer: W(-1) = -0.3181... + i 1.3372...
Which doesn't seem to work. Maybe I made a calculation mistake (because I only typed it once on a computer at my school, and wrote the result), but it seems to make sense, since you can work z = exp (z) to
z =...
Idea
My intuition tells me you can use the Lambert-W function on this one. Just as Eisenstein made it work for "power tower" functions (N^N^N^N^N^N^N...). It might work.
If you want to know about that function, check the link on the post "A very interesting question about Complex Variable"
Hello, everybody!
I'm a Maths/Physics student at Ecuador. Sorry if my English sucks, i'll try to do my best... Some fellow Physics buddy asked me if there was a way to fin a complex number that would be equal to its exponential... it is a very simple question to understand, but not to easy to...