{"type":"standard","title":"Equivalence class","displaytitle":"Equivalence class","namespace":{"id":0,"text":""},"wikibase_item":"Q1211071","titles":{"canonical":"Equivalence_class","normalized":"Equivalence class","display":"Equivalence class"},"pageid":9260,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/1/12/Congruent_non-congruent_triangles.svg/330px-Congruent_non-congruent_triangles.svg.png","width":320,"height":128},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/1/12/Congruent_non-congruent_triangles.svg/568px-Congruent_non-congruent_triangles.svg.png","width":568,"height":227},"lang":"en","dir":"ltr","revision":"1288363098","tid":"c9f644d5-270a-11f0-a9df-3e976f23bc9b","timestamp":"2025-05-02T04:06:14Z","description":"Mathematical concept","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Equivalence_class","revisions":"https://en.wikipedia.org/wiki/Equivalence_class?action=history","edit":"https://en.wikipedia.org/wiki/Equivalence_class?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Equivalence_class"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Equivalence_class","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Equivalence_class","edit":"https://en.m.wikipedia.org/wiki/Equivalence_class?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Equivalence_class"}},"extract":"In mathematics, when the elements of some set have a notion of equivalence, then one may naturally split the set into equivalence classes. These equivalence classes are constructed so that elements and belong to the same equivalence class if, and only if, they are equivalent.","extract_html":"
In mathematics, when the elements of some set ![](\"https://wikimedia.org/api/rest_v1/media/math/render/svg/4611d85173cd3b508e67077d4a1252c9c05abca2\")
![](\"https://wikimedia.org/api/rest_v1/media/math/render/svg/ffd2487510aa438433a2579450ab2b3d557e5edc\")
![](\"https://wikimedia.org/api/rest_v1/media/math/render/svg/f11423fbb2e967f986e36804a8ae4271734917c3\")
{"slip": { "id": 198, "advice": "Sing in the shower."}}
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