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Mathematics

The Divergence Theorem and Its Physical Meaning

Quick fact

The divergence theorem is also called Gauss's theorem or Ostrogradsky's theorem, and it is a special case of the generalized Stokes' theorem.

Why this is interesting

Imagine you are standing inside a room and you can feel air rushing out of every crack. How can you tell if there is a hidden source of air inside the room? The divergence theorem gives you the answer.