{"knowledge_schema": {"broad_category": "Statistical Mechanics \u2192 Thermodynamics \u2192 Partition Function", "refinement": "This problem involves calculating the partition function for a system of three spins, each of which can take values of +1 or -1, and is influenced by interactions between the spins.", "specific_scope": "The focus is on determining the partition function Z based on the given energy expression for the system of spins and the possible configurations of the spins.", "goal": "Calculate the partition function Z by considering all possible configurations of the spins and their corresponding energies."}, "summary": "In this problem, we need to find the partition function Z for a system of three spins, each capable of being in states +1 or -1. The energy of the system is defined by the interaction between the spins. To find Z, we must evaluate all possible configurations of the spins, calculate their energies, and then sum the contributions of each configuration weighted by the Boltzmann factor e^(-\u03b2E). The correct partition function will reflect the contributions from all configurations of the spins."}