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  "body": "\n## Summary\n\nThe exterior derivative extends the differential of a function to [[differential forms|0E3G0GRPZ6]] of higher degree. It maps $k$-forms to $(k + 1)$-forms.\nIn $\\mathbb{R}^3$ it unifies the gradient, curl and divergence, and it gives a common form of the theorems of Green, Stokes and Gauss. Élie Cartan described it in its current form in 1899.\n",
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