Lie point symmetry

id: lie-point-symmetry-312-10626878
title: Lie point symmetry
text: Lie point symmetry is a concept in advanced mathematics. Towards the end of the nineteenth century, Sophus Lie introduced the notion of Lie group in order to study the solutions of ordinary differential equations (ODEs). He showed the following main property: the order of an ordinary differential equation can be reduced by one if it is invariant under one-parameter Lie group of point transformations. This observation unified and extended the available integration techniques. Lie devoted the rema
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Lie_point_symmetry
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date modified: 2023-08-16T19:23:07Z
main entity: {"identifier":"Q6543828","url":"https://www.wikidata.org/entity/Q6543828"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/1/14/E8Petrie.svg","width":512,"height":514}
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