Really not sure if this is the right place to post, but how can i write on form?
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Originally Posted by komodekork Really not sure if this is the right place to post, but how can i write on form? This is not an easy problem. Recall that complex exponentiation does follow the usual rules that we use in the real numbers. If each of is a complex number then Here . That is the principal value. So you want
Note that I used this identity: . Does this help? To to hopefully more directly answer the OP's question, recall that the real numbers are a subset of the complex numbers. So, the answer I detailed above is written in the complex notation and .
Last edited by abender; Jan 27th 2013 at 11:48 AM.
Originally Posted by abender Note that I used this identity: . Does this help? This is the so called principal value. More accurately you have where k is an integer (slight modification of your identity ;)). If you substitute this, you'll find: which is multi valued (all real) with the principal value you already found.
Last edited by ILikeSerena; Jan 27th 2013 at 11:53 AM.
Thank you all, i was really stuck there for a while.
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