The question Find the cartesian form of the principle value of: My attempt //uh oh, this is on a branch cut! How do I proceed, if the principle Log is not defined on the negative real axis? Thank you.
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Not sure there's a problem here. The only place Log isn't defined is at .
Originally Posted by Glitch The question Find the cartesian form of the principle value of: My attempt //uh oh, this is on a branch cut! How do I proceed, if the principle Log is not defined on the negative real axis? Thank you.
Thanks, that's the answer I eventually got. However the book answer is . I think they just added to the principle argument (not sure why).
Originally Posted by Glitch Thanks, that's the answer I eventually got. However the book answer is . I think they just added to the principle argument (not sure why). It's because the principal argument is in the domain .
Originally Posted by Glitch However the book answer is . I think they just added to the principle argument (not sure why). I think the answer to that must be that they wanted you to evaluate the expression in the order indicated by the bracketing: At that stage, they want you to replace by its principal value before raising it to the power Then you get .
Originally Posted by Prove It You got to be careful here; in general.
Last edited by ojones; June 15th 2011 at 08:07 PM.
Originally Posted by Glitch Thanks, that's the answer I eventually got. However the book answer is . I think they just added to the principle argument (not sure why). You can't just add stuff. Check what principal argument range the book is using.
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