Friday, August 5, 2016

complex analysis - Real part and imaginary part of an expression under sqrt

How can one find real and imaginary part of below expression? b abd a are real numbers:



$$\sqrt{a+ i b}$$

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analysis - Injection, making bijection

I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...