Question

simplify \[\text{sgn}(i)\]

Answer 1

To my understanding, \[\text{sgn}(i)=\frac{i}{|i|}=\frac{i}{1}=i\]

Answer 2

^On Mathematica, it does return this.

Answer 3

sgn (x) = \[x/\left| x \right| \] for all numbers.

Answer 4

http://openstudy.com/study#/updates/5019f346e4b02742c0b189d0

Answer 5

\[\text{sgn}\left(\frac1i\right)=\]

Answer 6

\[\frac{1}{i}=-i\implies\text{sgn}\left(\frac{1}{i}\right)=-1\]

Answer 7

are you sure KG?

Answer 8

http://en.wikipedia.org/wiki/Sign_function

Answer 9

\[\frac{1}{i}\cdot\frac{i}{i}=\frac{i}{-1}=-i\]\[\text{sgn}(-i)=\frac{-i}{|-i|}=\frac{-i}{1}=-i\]So unless I'm severely misunderstanding the definition of \(\text{sgn}\), I'm pretty sure.

Answer 10

that right but thats different to your last post

Answer 11

@UnkleRhaukus follow the Wikipedia link above dealing with this.

Answer 12

Oops. I had a typo the first time I typed it. :(

Answer 13

i see