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Thread: algebraically independent

  1. December 1st 2012, 03:59 PM #1
    orbit
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    algebraically independent

    Hello.... I need to prove the following set is algebraically independent... I donīt have no idea how to do it. Please help me!!

    ${cos(x), cos(\sqrt{2} x), cos(\sqrt{3} x)}$

    regards!
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  2. December 1st 2012, 06:52 PM #2
    jakncoke
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    Re: algebraically independent

    Algebraically independent over which field ?
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  3. December 1st 2012, 08:14 PM #3
    orbit
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    Re: algebraically independent

    Over $\mathbb{R}$ I guess. My worksheet doesnīt say it
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