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Outward unit normal - PowerPoint PPT Presentation

(from Geometric Tomography , R.J.Gardner, 1995)

(from Geometric Tomography , R.J.Gardner, 1995). ( d - 1 )-dimensional Hausdorff measure. where ? K is the area measure of K. where x is the segment joining x to the origin. where n ( x ) is the outward unit normal at x. (from Geometric Tomography , R.J.Gardner, 1995).

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Flow through an element of the surface (Surface Integration)

Flow through an element of the surface (Surface Integration). Here we can benefit from the fact that V is already a vector quantity :. n. V. Surface Patch. where n is the outward unit normal as before. Rate of flow through this surface element.

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Outward unit normal - PowerPoint PPT Presentation

(from Geometric Tomography , R.J.Gardner, 1995)

Flow through an element of the surface (Surface Integration)