{"id":3217,"date":"2017-04-13T06:00:30","date_gmt":"2017-04-13T04:00:30","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=3217"},"modified":"2021-04-25T16:12:16","modified_gmt":"2021-04-25T14:12:16","slug":"clases-de-equivalencia-2","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/clases-de-equivalencia-2\/","title":{"rendered":"Clases de equivalencia"},"content":{"rendered":"<p>Definir la funci\u00f3n<\/p>\n<pre lang=\"text\"> \n   clasesEquivalencia :: Ord a => \n                         Set a -> (a -> a -> Bool) -> Set (Set a)\n<\/pre>\n<p>tal que (clasesEquivalencia xs r) es el conjunto de las clases de equivalencia de xs respecto de la relaci\u00f3n de equivalencia r. Por ejemplo,<\/p>\n<pre lang=\"text\">\n   ghci> let c = fromList [-3..3]\n   ghci> clasesEquivalencia c (\\x y -> x `mod` 3 == y `mod` 3)\n   fromList [fromList [-3,0,3],fromList [-2,1],fromList [-1,2]]\n   ghci> clasesEquivalencia c (\\x y -> (x - y) `mod` 2 == 0)\n   fromList [fromList [-3,-1,1,3],fromList [-2,0,2]]\n<\/pre>\n<h4>Soluciones<\/h4>\n<pre lang=\"haskell\">\nimport Data.Set as S\n\nclasesEquivalencia :: Ord a => \n                      Set a -> (a -> a -> Bool) -> Set (Set a)\nclasesEquivalencia xs r \n    | S.null xs =  empty\n    | otherwise =  us `insert` clasesEquivalencia vs r\n    where (y,ys)  = deleteFindMin xs\n          (us,vs) = partition (r y) xs\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Definir la funci\u00f3n clasesEquivalencia :: Ord a => Set a -> (a -> a -> Bool) -> Set (Set a) tal que (clasesEquivalencia xs r) es el conjunto de las clases de equivalencia de xs respecto de la relaci\u00f3n de equivalencia r. Por ejemplo, ghci> let c = fromList [-3..3] ghci> clasesEquivalencia c (\\x y&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_kad_post_transparent":"","_kad_post_title":"","_kad_post_layout":"","_kad_post_sidebar_id":"","_kad_post_content_style":"","_kad_post_vertical_padding":"","_kad_post_feature":"","_kad_post_feature_position":"","_kad_post_header":false,"_kad_post_footer":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"footnotes":"","_jetpack_memberships_contains_paid_content":false},"categories":[7],"tags":[11,339,6],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/3217"}],"collection":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/comments?post=3217"}],"version-history":[{"count":5,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/3217\/revisions"}],"predecessor-version":[{"id":3248,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/3217\/revisions\/3248"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=3217"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=3217"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=3217"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}