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Oct
18
awarded  Supporter
May
28
comment Euler's formula and $i^x = \cos(x \cdot \frac{\pi}{2})$
Yes, exactly! Ideally, in this case, the program should switch to 3d space and add an imaginary axis, right?
May
28
awarded  Scholar
May
28
accepted Euler's formula and $i^x = \cos(x \cdot \frac{\pi}{2})$
May
28
awarded  Student
May
28
comment Euler's formula and $i^x = \cos(x \cdot \frac{\pi}{2})$
@froggie: This is what i was actually looking for.. Is there maybe some geometric interpretation of this?
May
28
comment Euler's formula and $i^x = \cos(x \cdot \frac{\pi}{2})$
What about $$f(x) = i^x = \cos(x·\frac{\pi}{2}) + i\sin(x·\frac{\pi}{2})$$ ?
May
28
comment Euler's formula and $i^x = \cos(x \cdot \frac{\pi}{2})$
Yes, right, it has to be just the real part!
May
28
asked Euler's formula and $i^x = \cos(x \cdot \frac{\pi}{2})$