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Re: Imaginary Exponent : (x^1i)^1i

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It seems you didn't really understood my remarks about the mathematical ambiguity of the function in question and the way Mathcad deals with it and I honestly can't think of anything better to explain than the plot in my last post.

I already showed that from the mathematical point of view  we have

t1.png

So your equation has an infinite number of solutions:

t2.png

Mathcad (practical math??) will give you just the two solutions +1 and -1, depending on the guess value you provide. For some guesses you may even get 23.141 (=exp(1*pi)) because Mathcad ran into some kind of numerical inaccuracy.

 

I guess that this will be my last reply to this and "related" "problems".


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