For another system this quantity is proportional to one over four times the Planck length squared, multiplied by the area of the event horizon of a black hole.
Adler, Konheim, and McAndrew defined a topological version of this quantity equal to the limit of a quantity involving the cover of a Hausdorff space. A relative version of this quantity is calculated between two probability distributions by the Kullback-Leibler divergence. Another version is found by multiplying the density matrix by its logarithm and taking the trace. For another system this quantity is proportional to one over four times the Planck length squared, multiplied by the area of the event horizon of a black hole. This quantity is proportional to the log of the volume divided by the number of particles times the third power of the thermal wavelength plus five-halves for a monotomic ideal gas. Its equal to the log of the number of microstates times the Boltzmann constant. This quantity always increases in a closed system according to the Second law of thermodynamics. For 10 points, name this quantity, the disorder of a system.
Adler, Konheim, and McAndrew defined a topological version of this quantity equal to the limit of a quantity involving the cover of a Hausdorff space.
{Entropy}