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Grassmann numbers are mathematical objects that extend the concept of real and complex numbers. They have unique properties, such as anti-commutativity, which means that changing the order of multiplication changes the sign of the result. Grassmann numbers are used in physics, particularly in the field of quantum mechanics, to describe fermions, which are particles with half-integer spin. They are also used in differential geometry and algebraic topology to study geometric objects and symmetries.

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