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The Proportional-Integral-Derivative Response is a feedback loop that can be used to maintain a controlled amount of, in this case, liquid helium in a reservoir. This page is dedicated to providing an understanding of the mathematics behind the mechanism and hopefully help in the ability to change the PID gains in the Response VI controlling the level of LHe (for more information on the VI, please click this link to the LabVIEW Virtual Instrument Manual).