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File:Circulation in connected regions - schematic.png

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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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Captions

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

22 June 2021

image/png

e97fe236659b602af0bb014babc2bef35fde2c39

588,356 byte

1,208 pixel

2,648 pixel

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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)Pstasiakthicker lines
23:01, 23 June 2021Thumbnail for version as of 23:01, 23 June 2021813 × 427 (127 KB)PstasiakUpdated colour (again)
17:06, 23 June 2021Thumbnail for version as of 17:06, 23 June 20211,662 × 875 (379 KB)PstasiakUpdated colouring
14:53, 22 June 2021Thumbnail for version as of 14:53, 22 June 20211,274 × 712 (178 KB)PstasiakUploaded own work with UploadWizard

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