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The Generalized Stokes' Theorem is a fundamental result in differential geometry and vector calculus that extends the classical Stokes' theorem, relating integrals of differential forms over manifolds to their behavior on the boundaries of those manifolds. It serves as a powerful tool in various fields such as physics, engineering, and mathematics, particularly in the study of differential forms, topology, and manifold theory.

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  1. Differential topology
  2. Mathematical physics
  3. Applied mathematics
  4. Fields of mathematics
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