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-MFra-21-Topaz II
21-Topaz II
January 31, 2017
Question

Is already know this oddity ????

  • January 31, 2017
  • 7 replies
  • 2327 views

strangeness.jpg

7 replies

W
Werner_E25-Diamond I
25-Diamond I
January 31, 2017

Oddity? Not sure what you mean and then its just a pic, not a sheet to play with.

Exponentiation is not unique in the set of complex numbers. a^b has many results and Mathcads numerics choses one of the many possible "solutions" and which one it chooses obviously depends on how you write that expression.

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-MFra-21-Topaz IIAuthor
21-Topaz II
January 31, 2017

Hi Werner,

I wanted to say, strangeness. I trust the google translator, who translates it, first and foremost, as a oddity.

  About the test function, it  is a  monodroma (it generates a single value for each z) holomorfic and analytic function, whatever you write it.

Instead mathcad draws incredibly two different locus on the Gaussian plane. I think it is yet another bug.

Greetings

FM

W
Werner_E25-Diamond I
25-Diamond I
January 31, 2017

I won't call it a bug. After all is the rule (a^m)^n=a^(m*n) not necessarily fully valid in the set of complex numbers.

And Mathcad is not really good when it comes to expressions with multiple results (the numerics chose one specific and the symbolics often isn't aware of more solutions) - you may look at some older threads of LoiLe which covered that subject sometimes in more depth.

The solutions you get using either of those two expression differ by a factor of e^pi and both are valid.

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