File:Noether theorem scheme.png

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English: The plot depicts a trajectory of a body (bold curvy line), an action of a symmetry flow (gray arrows), and a variation of a trajectory given by applying to it the flow on a time interval. Noether's theorem then argues, that the total action wouldn't change under the variation if the trajectory was an extremum of the action; so the only non-zero terms at the ends of the time interval must cancel each other, which means the corresponding quantity is conserved.
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Author L3erdnik

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Captions

A rough plot illustrating how Noether's theorem works for a symmetry acting on coordinates.

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12 August 2019

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Date/TimeThumbnailDimensionsUserComment
current02:13, 13 August 2019Thumbnail for version as of 02:13, 13 August 20191,110 × 928 (109 KB)L3erdnikIntroduced a variable <math>\varphi</math> for the symmetry.
23:32, 12 August 2019Thumbnail for version as of 23:32, 12 August 20191,126 × 928 (108 KB)L3erdnikUser created page with UploadWizard
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