File:Circulation in connected regions - schematic.png

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Original file (2,648 × 1,208 pixels, file size: 575 KB, MIME type: image/png)

Captions

Captions

The circulation in a simply-connected region and a multiply connected region.

Summary

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Description
English: Left: The curve C traces out a closed path around a point P in a simply connected region. The path C can be shrunken down down to the point C, allowing the use of Stokes theorem. Right: The curve C traces a closed path in a multiply-connected region (i.e it contains holes). The path C cannot be shrunk down to the point P (at the centre of the circle) and therefore cannot apply Stokes theorem.
Date
Source Own work
Author Pstasiak

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File history

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Date/TimeThumbnailDimensionsUserComment
current13:17, 29 June 2021Thumbnail for version as of 13:17, 29 June 20212,648 × 1,208 (575 KB)Pstasiak (talk | contribs)thicker lines
23:01, 23 June 2021Thumbnail for version as of 23:01, 23 June 2021813 × 427 (127 KB)Pstasiak (talk | contribs)Updated colour (again)
17:06, 23 June 2021Thumbnail for version as of 17:06, 23 June 20211,662 × 875 (379 KB)Pstasiak (talk | contribs)Updated colouring
14:53, 22 June 2021Thumbnail for version as of 14:53, 22 June 20211,274 × 712 (178 KB)Pstasiak (talk | contribs)Uploaded own work with UploadWizard

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