A general method is described for finding linear inequalities relating physical properties of an ensemble which can exist only in a finite number of states. This algorithm is used to solve a few examples of the fixed-N and variable-N Slater hull problem and the fixed-N Boson hull problem. Interpretations of the results are made in terms of boundary conditions for fermion and boson reduced density matrices, pair distributions of lattice vacancies, and pair distributions of spins in an Ising model.
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McRae et al. (1972) studied this question.
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