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Ward's Theorem

Ward's Theorem is a principle from group theory in mathematics that describes how certain symmetries in a system can be used to understand and predict its behavior. Specifically, it states that if a group of transformations acts on a set of objects, the ways in which these objects can be arranged or combined can be analyzed through their symmetry properties. This theorem helps in identifying and counting distinct arrangements—called orbits—of objects, allowing us to better understand complex systems in fields like physics and chemistry, where symmetry plays a crucial role.