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Math Help - which interval is commonly accepted for principal argument of complex numbers?

  1. #1
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    which interval is commonly accepted for principal argument of complex numbers?

    (-\pi,\pi] or [0,2\pi)? since different definition may make the value of complex power different. Thanks!
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    Quote Originally Posted by zzzhhh View Post
    (-\pi,\pi] or [0,2\pi)? since different definition may make the value of complex power different. Thanks!
    It is a matter of convention. See for example Arg (mathematics) - Wikipedia, the free encyclopedia
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    But what on earth is the convention commonly accepted in mathematical world? I have consulted wikipedia before posting this question, which directed me to this page saying both intervals are OK. This made me confused because, as I indicated in my post, different definition will lead to different complex power but ambiguity is not allowed in mathematics.
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