Jan van Balen was a Flemish painter known for his Baroque paintings of history and allegorical subjects. He also painted landscapes and genre scenes.
"}{"type":"standard","title":"Hairy ball theorem","displaytitle":"Hairy ball theorem","namespace":{"id":0,"text":""},"wikibase_item":"Q1077741","titles":{"canonical":"Hairy_ball_theorem","normalized":"Hairy ball theorem","display":"Hairy ball theorem"},"pageid":485168,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/e/ec/Hairy_ball.png","width":291,"height":243},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/e/ec/Hairy_ball.png","width":291,"height":243},"lang":"en","dir":"ltr","revision":"1287022407","tid":"f183503b-204c-11f0-bfba-9fb7f7b47908","timestamp":"2025-04-23T14:12:09Z","description":"Theorem in differential topology","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Hairy_ball_theorem","revisions":"https://en.wikipedia.org/wiki/Hairy_ball_theorem?action=history","edit":"https://en.wikipedia.org/wiki/Hairy_ball_theorem?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Hairy_ball_theorem"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Hairy_ball_theorem","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Hairy_ball_theorem","edit":"https://en.m.wikipedia.org/wiki/Hairy_ball_theorem?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Hairy_ball_theorem"}},"extract":"The hairy ball theorem of algebraic topology (sometimes called the hedgehog theorem in Europe) states that there is no nonvanishing continuous tangent vector field on even-dimensional n-spheres. For the ordinary sphere, or 2‑sphere, if f is a continuous function that assigns a vector in ℝ3 to every point p on a sphere such that f(p) is always tangent to the sphere at p, then there is at least one pole, a point where the field vanishes (a p such that f(p) = 0).","extract_html":"
The hairy ball theorem of algebraic topology (sometimes called the hedgehog theorem in Europe) states that there is no nonvanishing continuous tangent vector field on even-dimensional n-spheres. For the ordinary sphere, or 2‑sphere, if f is a continuous function that assigns a vector in ℝ3 to every point p on a sphere such that f(p) is always tangent to the sphere at p, then there is at least one pole, a point where the field vanishes (a p such that f(p) = 0).
"}{"type":"standard","title":"Kalabaaz","displaytitle":"Kalabaaz","namespace":{"id":0,"text":""},"wikibase_item":"Q3427415","titles":{"canonical":"Kalabaaz","normalized":"Kalabaaz","display":"Kalabaaz"},"pageid":20904123,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/en/thumb/7/7a/Kalabaaz.jpg/330px-Kalabaaz.jpg","width":320,"height":207},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/en/7/7a/Kalabaaz.jpg","width":392,"height":254},"lang":"en","dir":"ltr","revision":"1223243550","tid":"af2f3054-0f09-11ef-9676-a342bc54454b","timestamp":"2024-05-10T20:12:54Z","description":"1977 Indian film","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Kalabaaz","revisions":"https://en.wikipedia.org/wiki/Kalabaaz?action=history","edit":"https://en.wikipedia.org/wiki/Kalabaaz?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Kalabaaz"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Kalabaaz","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Kalabaaz","edit":"https://en.m.wikipedia.org/wiki/Kalabaaz?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Kalabaaz"}},"extract":"Kalabaaz is a 1977 Bollywood film directed by Ashok Roy.","extract_html":"
Kalabaaz is a 1977 Bollywood film directed by Ashok Roy.
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{"slip": { "id": 44, "advice": "If you are feeling down, try holding a pencil between your top lip and your nose for five minutes."}}
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