Brandon Severs, Jillian Shea Spaeder, and Tobie

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{"type":"standard","title":"Geometric analysis","displaytitle":"Geometric analysis","namespace":{"id":0,"text":""},"wikibase_item":"Q5535474","titles":{"canonical":"Geometric_analysis","normalized":"Geometric analysis","display":"Geometric analysis"},"pageid":4325474,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/6/63/Saddle_Tower_Minimal_Surfaces.png/330px-Saddle_Tower_Minimal_Surfaces.png","width":320,"height":379},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/6/63/Saddle_Tower_Minimal_Surfaces.png","width":659,"height":781},"lang":"en","dir":"ltr","revision":"1261620696","tid":"aa970e07-b437-11ef-a07f-49cad13c459a","timestamp":"2024-12-07T01:07:45Z","description":"Field of higher mathematics","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Geometric_analysis","revisions":"https://en.wikipedia.org/wiki/Geometric_analysis?action=history","edit":"https://en.wikipedia.org/wiki/Geometric_analysis?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Geometric_analysis"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Geometric_analysis","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Geometric_analysis","edit":"https://en.m.wikipedia.org/wiki/Geometric_analysis?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Geometric_analysis"}},"extract":"Geometric analysis is a mathematical discipline where tools from differential equations, especially elliptic partial differential equations (PDEs), are used to establish new results in differential geometry and differential topology. The use of linear elliptic PDEs dates at least as far back as Hodge theory. More recently, it refers largely\nto the use of nonlinear partial differential equations to study geometric and topological properties of spaces, such as submanifolds of Euclidean space, Riemannian manifolds, and symplectic manifolds. This approach dates back to the work by Tibor Radó and Jesse Douglas on minimal surfaces, John Forbes Nash Jr. on isometric embeddings of Riemannian manifolds into Euclidean space, work by Louis Nirenberg on the Minkowski problem and the Weyl problem, and work by Aleksandr Danilovich Aleksandrov and Aleksei Pogorelov on convex hypersurfaces. In the 1980s fundamental contributions by Karen Uhlenbeck, Clifford Taubes, Shing-Tung Yau, Richard Schoen, and Richard Hamilton launched a particularly exciting and productive era of geometric analysis that continues to this day. A celebrated achievement was the solution to the Poincaré conjecture by Grigori Perelman, completing a program initiated and largely carried out by Richard Hamilton.","extract_html":"

Geometric analysis is a mathematical discipline where tools from differential equations, especially elliptic partial differential equations (PDEs), are used to establish new results in differential geometry and differential topology. The use of linear elliptic PDEs dates at least as far back as Hodge theory. More recently, it refers largely\nto the use of nonlinear partial differential equations to study geometric and topological properties of spaces, such as submanifolds of Euclidean space, Riemannian manifolds, and symplectic manifolds. This approach dates back to the work by Tibor Radó and Jesse Douglas on minimal surfaces, John Forbes Nash Jr. on isometric embeddings of Riemannian manifolds into Euclidean space, work by Louis Nirenberg on the Minkowski problem and the Weyl problem, and work by Aleksandr Danilovich Aleksandrov and Aleksei Pogorelov on convex hypersurfaces. In the 1980s fundamental contributions by Karen Uhlenbeck, Clifford Taubes, Shing-Tung Yau, Richard Schoen, and Richard Hamilton launched a particularly exciting and productive era of geometric analysis that continues to this day. A celebrated achievement was the solution to the Poincaré conjecture by Grigori Perelman, completing a program initiated and largely carried out by Richard Hamilton.

"}

{"type":"standard","title":"Walk the Prank","displaytitle":"Walk the Prank","namespace":{"id":0,"text":""},"wikibase_item":"Q23952367","titles":{"canonical":"Walk_the_Prank","normalized":"Walk the Prank","display":"Walk the Prank"},"pageid":50048069,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/en/thumb/c/c5/Walk_the_Prank_Logo.png/330px-Walk_the_Prank_Logo.png","width":320,"height":154},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/en/c/c5/Walk_the_Prank_Logo.png","width":375,"height":180},"lang":"en","dir":"ltr","revision":"1279222300","tid":"10ba2902-fb1e-11ef-b99b-4f5545ddcec9","timestamp":"2025-03-07T06:33:22Z","description":"American TV series","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Walk_the_Prank","revisions":"https://en.wikipedia.org/wiki/Walk_the_Prank?action=history","edit":"https://en.wikipedia.org/wiki/Walk_the_Prank?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Walk_the_Prank"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Walk_the_Prank","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Walk_the_Prank","edit":"https://en.m.wikipedia.org/wiki/Walk_the_Prank?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Walk_the_Prank"}},"extract":"Walk the Prank is an American comedy television series created by Adam Small and Trevor Moore that aired on Disney XD from April 1, 2016 to July 16, 2018. The series stars Cody Veith, Bryce Gheisar, Brandon Severs, Jillian Shea Spaeder, and Tobie Windham.","extract_html":"

Walk the Prank is an American comedy television series created by Adam Small and Trevor Moore that aired on Disney XD from April 1, 2016 to July 16, 2018. The series stars Cody Veith, Bryce Gheisar, Brandon Severs, Jillian Shea Spaeder, and Tobie Windham.

"}

{"type":"standard","title":"Pinniped","displaytitle":"Pinniped","namespace":{"id":0,"text":""},"wikibase_item":"Q30263","titles":{"canonical":"Pinniped","normalized":"Pinniped","display":"Pinniped"},"pageid":60261,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/e/e9/Pinnipeds_vertical_version_montage.jpg/330px-Pinnipeds_vertical_version_montage.jpg","width":320,"height":345},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/e/e9/Pinnipeds_vertical_version_montage.jpg","width":1638,"height":1764},"lang":"en","dir":"ltr","revision":"1288787355","tid":"3cd70936-291d-11f0-96cd-d0e926ba02fe","timestamp":"2025-05-04T19:23:20Z","description":"Taxonomic group of semi-aquatic mammals","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Pinniped","revisions":"https://en.wikipedia.org/wiki/Pinniped?action=history","edit":"https://en.wikipedia.org/wiki/Pinniped?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Pinniped"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Pinniped","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Pinniped","edit":"https://en.m.wikipedia.org/wiki/Pinniped?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Pinniped"}},"extract":"Pinnipeds, commonly known as seals, are a widely distributed and diverse clade of carnivorous, fin-footed, semiaquatic, mostly marine mammals. They comprise the extant families Odobenidae, Otariidae, and Phocidae, with 34 extant species and more than 50 extinct species described from fossils. While seals were historically thought to have descended from two ancestral lines, molecular evidence supports them as a monophyletic group. Pinnipeds belong to the suborder Caniformia of the order Carnivora; their closest living relatives are musteloids, having diverged about 50 million years ago.","extract_html":"

Pinnipeds, commonly known as seals, are a widely distributed and diverse clade of carnivorous, fin-footed, semiaquatic, mostly marine mammals. They comprise the extant families Odobenidae, Otariidae, and Phocidae, with 34 extant species and more than 50 extinct species described from fossils. While seals were historically thought to have descended from two ancestral lines, molecular evidence supports them as a monophyletic group. Pinnipeds belong to the suborder Caniformia of the order Carnivora; their closest living relatives are musteloids, having diverged about 50 million years ago.

"}