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wu :: forums    riddles    putnam exam (pure math) (Moderators: towr, Icarus, Grimbal, SMQ, Eigenray, william wu)    Complex powers « Previous topic | Next topic » Pages: 1 2  Reply Notify of replies Send Topic Print    Author  Topic: Complex powers  (Read 1878 times) srn437 Newbie the dark lord rises again....     Posts: 1 Re: Complex powers   « Reply #25 on: Sep 27th, 2007, 4:48pm » Quote Modify Your 19th post doesn't fully define it, since some numbers have multiple natural logs(all numbers have multiple logs actually). IP Logged Grimbal wu::riddles Moderator Uberpuzzler     Gender: Posts: 7527 Re: Complex powers   « Reply #26 on: Sep 28th, 2007, 8:47am » Quote Modify You are right, complex logs are not fully defined.   So what are possible values for ln(n) in the complex plane?   What does ei·ln(n) give for each value? IP Logged srn437 Newbie the dark lord rises again....     Posts: 1 Re: Complex powers   « Reply #27 on: Sep 28th, 2007, 4:47pm » Quote Modify For any log, 2pi(i)can be added or subtracted infinitely, since it is the same as multiplying or dividing by 1. IP Logged Pages: 1 2  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy   - medium   - hard   - what am i   - what happened   - microsoft   - cs => putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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