Define Hermitian operators and show that they yield real values for observables. 

Hermitian operators are a class of linear operators in quantum mechanics that are equal to their own adjoint. Mathematically, an operator A^\hat{A} is Hermitian if:

A^†=A^\hat{A}^\dagger = \hat{A}

where A^†\hat{A}^\dagger is the adjoint of the operator A^\hat{A}. Hermitian ____ ______ ________ ______ ______ _____ _______ ____ _____ _______ ______ ______.
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