I'm confused about norms. I have 1) $\displaystyle A=1-ic\sin\theta$ 2)$\displaystyle \parallel A \parallel = 1+c^2\sin^2\theta$ How does one get from 1) to 2)? What kind of norm would this be? (i is imaginary number)
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Originally Posted by Jason Bourne I'm confused about norms. I have 1) $\displaystyle A=1-ic\sin\theta$ 2)$\displaystyle \parallel A \parallel = \color{blue}\sqrt{1+c^2\sin^2\theta}$ 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 $\displaystyle \|a+b\mathbf{i}\|=\sqrt{a^2+b^2}$ Also note than many textbooks use $\displaystyle |A|$ instead of $\displaystyle \|A\|$.
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