The system is then mapped back onto the original area by cutting and restacking, which we can call a ‘fold’. The inverse transformation is accomplished by stretching first in the vertical (p) dire...The system is then mapped back onto the original area by cutting and restacking, which we can call a ‘fold’. The inverse transformation is accomplished by stretching first in the vertical (p) direction and squashing in the horizontal (q) direction, followed by a slicing and restacking.
Note that D(E) has dimensions of inverse energy, so one might ask how we are to take the logarithm of a dimensionful quantity in Equation ???. We must introduce an energy scale, such as ...Note that D(E) has dimensions of inverse energy, so one might ask how we are to take the logarithm of a dimensionful quantity in Equation ???. We must introduce an energy scale, such as \RDeltaE in Equation ???, and define ˜D(E;\RDeltaE)=D(E)\RDeltaE and S(E;\RDeltaE)≡\kBln˜D(E;\RDeltaE).