Task: Text Categorization
Input (English): By averaging this quantity, the reduction of a certain intermolecular function to an angle-independent form for polar fluids can be performed in order to express conformal-solution theory. For liquid metals, the upper bound of this quantity can be obtained by the Gibbs-Bogoliubov inequality. It is equal to the negative product of Boltzmann's constant, temperature, and the natural log of the partition function. The change in this quantity is equal to the maximum work accompanying a process, and it is defined as internal energy minus the product of temperature and entropy. For 10 points, name this quantity symbolized by either A or F, a type of free energy named for a German scientist.
Output (English): Science