File:Surface integral - definition.svg

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Original file ‎(SVG file, nominally 814 × 368 pixels, file size: 115 KB)

Captions

Captions

Diagram illustrating a surface integral of a vector field

Summary

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Description
English: Diagram illustrating how a surface integral of a vector field over a surface is defined. It shows an arbitrary surface S with a vector field F, (red arrows) passing through it. The surface is divided into small (infinitesimal) regions dS. The surface integral is the sum of the perpendicular component of the field passing through each region multiplied by the area dS. The perpendicular component of the field is equal to the dot product of the field F(x) with the unit normal vector n(x) at the point dS:
Date
Source Own work
Author Chetvorno
SVG development
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Licensing

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I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

File history

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Date/TimeThumbnailDimensionsUserComment
current00:20, 26 July 2023Thumbnail for version as of 00:20, 26 July 2023814 × 368 (115 KB)Chetvorno (talk | contribs)Modified SVG markup by hand so it passes W3C validator
10:48, 6 October 2019Thumbnail for version as of 10:48, 6 October 2019814 × 368 (116 KB)Chetvorno (talk | contribs)Corrected surface boundary line width issue
10:40, 6 October 2019Thumbnail for version as of 10:40, 6 October 2019814 × 368 (118 KB)Chetvorno (talk | contribs)Improved surface gridlines, made vectors longer, saved in plain SVG format
23:15, 30 September 2019Thumbnail for version as of 23:15, 30 September 2019774 × 370 (128 KB)Chetvorno (talk | contribs)Reduced boundary line width
23:08, 30 September 2019Thumbnail for version as of 23:08, 30 September 2019774 × 370 (128 KB)Chetvorno (talk | contribs)Removed empty space at edges, uploaded in Inkscape SVG format
22:35, 30 September 2019Thumbnail for version as of 22:35, 30 September 2019744 × 1,052 (121 KB)Chetvorno (talk | contribs)User created page with UploadWizard

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