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In mathematical analysis, a Hermitian function is a complex function with the property that its complex conjugate is equal to the original function with the variable changed in sign:
for all x {\displaystyle x} in the domain of f {\displaystyle f}. In physics, this property is referred to as PT symmetry.
This definition extends also to functions of two or more variables, e.g., in the case that f {\displaystyle f} is a function of two variables it is Hermitian if
for all pairs {\displaystyle } in the domain of f {\displaystyle f}.
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