Harmonic conjugates

Harmonic conjugates are mathematical functions that arise in the study of complex analysis, specifically in the context of harmonic functions. A harmonic function is one that satisfies Laplace's equation, meaning it has a certain type of smoothness and continuity. Two harmonic functions that are related in a specific way can be considered conjugates; one can be thought of as describing the "real part" and the other the "imaginary part" of a complex function. Together, they can represent phenomena like fluid flow or heat distribution, working in tandem to provide a fuller description of a system.