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Questions about the function Assuming[], the $Assumptions system variable, and the Assumptions option of functions such as Simplify[] and Integrate[].

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How do I declare that a variable represents a real number?

1. See the function ComplexExpand ComplexExpand[Re[x + I y]] gives x 2. Also you can try Refine combined with Element: Refine[Re[x + I y], Element[x, Reals]] (*x - Im[y]*)
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40 votes

How to tell Mathematica that certain variables are real/imaginary, integer-valued, etc

You can also use Refine with Element : Refine[Sqrt[2] Conjugate[Sqrt[1/L]] Sin[(Pi* Conjugate[n x])/Conjugate[L]], {Element[L, Reals], Element[n, Integers]}] gives and if you add that L>0: Ref …
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