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File:Laplacian of the indicator v2.jpg

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Laplacian_of_the_indicator_v2.jpg (516 × 122 pixels, file size: 8 KB, MIME type: image/jpeg)

Summary

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An approximation of the negative indicator function of an ellipse in the plane (left), the derivative in the direction normal to the boundary (middle), and its Laplacian (right). In the limit, the right-most graph goes to the (negative) Laplacian of the indicator. Purely intuitively speaking, the right-most graph resembles an elliptic castle with a castle-wall on the inside and a moat in front of it; in the limit, the wall and moat become infinitely high and deep (and narrow).

Source

Using the program Mathematica
Previously published: rutgerjanlange.com and https://link.springer.com/article/10.1007%2FJHEP11(2012)032

Date

July 2012

Author

Rutgerjanlange

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Date/TimeThumbnailDimensionsUserComment
current16:17, 17 December 2012Thumbnail for version as of 16:17, 17 December 2012516 × 122 (8 KB)Rutgerjanlange (talk | contribs)Uploading a self-made file using File Upload Wizard

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