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Math Help - Norm of a function?

  1. #1
    Member Jason Bourne's Avatar
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    Norm of a function?

    I'm confused about norms. I have

    1) A=1-ic\sin\theta

    2)  \parallel A \parallel = 1+c^2\sin^2\theta

    How does one get from 1) to 2)? What kind of norm would this be? (i is imaginary number)
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  2. #2
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    Re: Norm of a function?

    Quote Originally Posted by Jason Bourne View Post
    I'm confused about norms. I have

    1) A=1-ic\sin\theta

    2)  \parallel A \parallel = \color{blue}\sqrt{1+c^2\sin^2\theta}

    How does one get from 1) to 2)? What kind of norm would this be? (i is imaginary number)
    First, note the correction above.

    It is the case that for any complex number \|a+b\mathbf{i}\|=\sqrt{a^2+b^2}

    Also note than many textbooks use |A| instead of \|A\|.
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