Badr Ahmed Mohamed Abdelatty is an Egyptian diplomat and politician serving as minister of foreign affairs since 2024.
"}{"slip": { "id": 53, "advice": "Accentuate the positive, eliminate the negative."}}
{"type":"standard","title":"Covariance and contravariance of vectors","displaytitle":"Covariance and contravariance of vectors","namespace":{"id":0,"text":""},"wikibase_item":"Q3555165","titles":{"canonical":"Covariance_and_contravariance_of_vectors","normalized":"Covariance and contravariance of vectors","display":"Covariance and contravariance of vectors"},"pageid":202886,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/6/6b/Vector_1-form.svg/330px-Vector_1-form.svg.png","width":320,"height":277},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/6/6b/Vector_1-form.svg/639px-Vector_1-form.svg.png","width":639,"height":553},"lang":"en","dir":"ltr","revision":"1285453949","tid":"a7a5a3e5-189f-11f0-b7f5-2a62fa7116b6","timestamp":"2025-04-13T19:44:04Z","description":"Vector behavior under coordinate changes","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Covariance_and_contravariance_of_vectors","revisions":"https://en.wikipedia.org/wiki/Covariance_and_contravariance_of_vectors?action=history","edit":"https://en.wikipedia.org/wiki/Covariance_and_contravariance_of_vectors?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Covariance_and_contravariance_of_vectors"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Covariance_and_contravariance_of_vectors","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Covariance_and_contravariance_of_vectors","edit":"https://en.m.wikipedia.org/wiki/Covariance_and_contravariance_of_vectors?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Covariance_and_contravariance_of_vectors"}},"extract":"In physics, especially in multilinear algebra and tensor analysis, covariance and contravariance describe how the quantitative description of certain geometric or physical entities changes with a change of basis. Briefly, a contravariant vector is a list of numbers that transforms oppositely to a change of basis, and a covariant vector is a list of numbers that transforms in the same way. Contravariant vectors are often just called vectors and covariant vectors are called covectors or dual vectors. The terms covariant and contravariant were introduced by James Joseph Sylvester in 1851.","extract_html":"
In physics, especially in multilinear algebra and tensor analysis, covariance and contravariance describe how the quantitative description of certain geometric or physical entities changes with a change of basis. Briefly, a contravariant vector is a list of numbers that transforms oppositely to a change of basis, and a covariant vector is a list of numbers that transforms in the same way. Contravariant vectors are often just called vectors and covariant vectors are called covectors or dual vectors. The terms covariant and contravariant were introduced by James Joseph Sylvester in 1851.
"}{"slip": { "id": 194, "advice": "Don't always rely on your comforts."}}
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