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  "body": "\n## Summary\n\nThe Jacobian determinant of a map from an open subset of $\\mathbb{R}^n$ to $\\mathbb{R}^n$ at a point is the determinant of its [[Jacobian matrix|047NDTEPCV]] there.\nIts absolute value is the factor by which the map scales small volumes near the point. Its sign tells whether the map keeps or reverses orientation.\n",
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