1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

What does Im(z)^2

  1. Aug 24, 2014 #1
    Just wondering what my textbook wants me to do with:

    Im(z)2

    Im i supposed to find the square of the imaginary part of z, or the imaginary part of z2?

    Does Im(z)2 equal (Im(z))2 or Im(z2) ?
     
  2. jcsd
  3. Aug 24, 2014 #2

    Ray Vickson

    User Avatar
    Science Advisor
    Homework Helper

    I woulds guess that the imaginary part of ##z^2## would be written as ##\text{Im}(z^2)##, so I would guess that you are being asked for ##(\text{Im}(z))^2##. However, when in doubt, why not give both interpretations and both answers?
     
  4. Aug 24, 2014 #3
    Yez, that would be the right way to go! I guess i was wondering if there were any strict rules. Also, perhaps it could be expressed in a similar manner as (sin(x))2, that is - most of the time - written as sin2x. Perhaps there is a standard for Im2(z) as well?
     
  5. Aug 24, 2014 #4

    BvU

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    I am inclined to think a book would want Im(z2), for a simple reason: finding Im(z) and then squaring it isn't much of an exercise. Finding the imaginary part of z2 is a bit more serious.
    However, this is just an opinion. I'd have to flip through the book to see if the writer is that sloppy in more places....
     
  6. Aug 24, 2014 #5

    Fredrik

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    ##\operatorname{Im}(z)^2## is a really weird notation. I would use ##(\operatorname{Im} z)^2## for the square of the imaginary part of z, and ##\operatorname{Im}z^2## for the imaginary part of ##z^2##.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: What does Im(z)^2
  1. Derivative of Im(z) (Replies: 4)

  2. Solve sin(z)=2 (Replies: 3)

  3. Branch of z^{1/2} (Replies: 2)

  4. Z^2 = z conjugate (Replies: 11)

Loading...