In mathematical analysis, the universal chord theorem states that if a function f is continuous on [a,b] and satisfies ![](\"https://wikimedia.org/api/rest_v1/media/math/render/svg/f70209bf143b8417feef2aed98b2e86bc8f447e2\")
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{"fact":"Some notable people who disliked cats: Napoleon Bonaparte, Dwight D. Eisenhower, Hitler.","length":89}
{"type":"standard","title":"Billy Bowlegs III","displaytitle":"Billy Bowlegs III","namespace":{"id":0,"text":""},"wikibase_item":"Q8247988","titles":{"canonical":"Billy_Bowlegs_III","normalized":"Billy Bowlegs III","display":"Billy Bowlegs III"},"pageid":7061908,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/0/09/Portrait_of_Billy_Bowlegs_III.png/330px-Portrait_of_Billy_Bowlegs_III.png","width":320,"height":484},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/0/09/Portrait_of_Billy_Bowlegs_III.png","width":600,"height":908},"lang":"en","dir":"ltr","revision":"1279447973","tid":"7d791347-fc3f-11ef-98ed-2a7b092e6e05","timestamp":"2025-03-08T17:05:09Z","description":"Seminole elder","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Billy_Bowlegs_III","revisions":"https://en.wikipedia.org/wiki/Billy_Bowlegs_III?action=history","edit":"https://en.wikipedia.org/wiki/Billy_Bowlegs_III?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Billy_Bowlegs_III"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Billy_Bowlegs_III","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Billy_Bowlegs_III","edit":"https://en.m.wikipedia.org/wiki/Billy_Bowlegs_III?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Billy_Bowlegs_III"}},"extract":"Billy Bowlegs III, Billy Fewell, aka Cofehapkee, was a Seminole historian of mixed Indigenous and African American descent from Florida.","extract_html":"
Billy Bowlegs III, Billy Fewell, aka Cofehapkee, was a Seminole historian of mixed Indigenous and African American descent from Florida.
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{"type":"standard","title":"Copa do Nordeste","displaytitle":"Copa do Nordeste","namespace":{"id":0,"text":""},"wikibase_item":"Q983041","titles":{"canonical":"Copa_do_Nordeste","normalized":"Copa do Nordeste","display":"Copa do Nordeste"},"pageid":2636999,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/en/0/05/Copa_do_Nordeste.png","width":280,"height":356},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/en/0/05/Copa_do_Nordeste.png","width":280,"height":356},"lang":"en","dir":"ltr","revision":"1238139500","tid":"7b9c18ae-50b2-11ef-a008-22a51d5d9245","timestamp":"2024-08-02T09:34:58Z","description":"Football tournament","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Copa_do_Nordeste","revisions":"https://en.wikipedia.org/wiki/Copa_do_Nordeste?action=history","edit":"https://en.wikipedia.org/wiki/Copa_do_Nordeste?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Copa_do_Nordeste"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Copa_do_Nordeste","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Copa_do_Nordeste","edit":"https://en.m.wikipedia.org/wiki/Copa_do_Nordeste?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Copa_do_Nordeste"}},"extract":"Copa do Nordeste, also known as Campeonato do Nordeste or Copa Nordeste is a Brazilian football competition among Northeastern region teams. It is sometimes informally referred to as Lampions League – in reference to the UEFA Champions League and bandit folk hero Lampião.","extract_html":"
Copa do Nordeste, also known as Campeonato do Nordeste or Copa Nordeste is a Brazilian football competition among Northeastern region teams. It is sometimes informally referred to as Lampions League – in