File:Noether theorem scheme.png
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Summary
| Description |
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. |
| Date | |
| Source | Own work |
| Author | L3erdnik |
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 07:43, 13 August 2019 | | 1,110 × 928 (109 KB) | wikimediacommons>L3erdnik | Introduced a variable <math>\varphi</math> for the symmetry. |
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