Here, \(\Delta T\ =\ T_{sweeping}-T_{not\ sweeping}\) and \(\frac{dH}{dt} = \dot{H}\) reverses sign for up and down sweeps.  
It is more practical to measure the difference between \(T_{upsweep}\) and \(T_{downsweep}\).  Defining \(\Delta T_s=T_{upsweep}-T_{downsweep}\),
we rewrite Eq. \ref{eq:MCEinShortTauLimit} as follows: