{"id":1002,"date":"2015-01-26T06:00:37","date_gmt":"2015-01-26T04:00:37","guid":{"rendered":"http:\/\/www.glc.us.es\/~jalonso\/exercitium\/?p=1002"},"modified":"2022-03-25T20:10:51","modified_gmt":"2022-03-25T18:10:51","slug":"numeros-naturales-separados-por-ceros","status":"publish","type":"post","link":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/numeros-naturales-separados-por-ceros\/","title":{"rendered":"N\u00fameros naturales separados por ceros"},"content":{"rendered":"<h4>Enunciado<\/h4>\n<p>Definir la sucesi\u00f3n<\/p>\n<pre lang=\"text\">\n   naturales0 :: [Int]\n<\/pre>\n<p>cuyos elementos son los n\u00fameros naturales separados por 0. Por ejemplo,<\/p>\n<pre lang=\"text\">\n   ghci> take 25 naturales0\n   [0,0,1,0,2,0,3,0,4,0,5,0,6,0,7,0,8,0,9,0,10,0,11,0,12]\n<\/pre>\n<p>Comprobar con QuickCheck que el n-\u00e9simo t\u00e9rmino de la sucesi\u00f3n es n*(1+(-1)^n)\/4.<\/p>\n<p>Nota. En la comprobaci\u00f3n usar<\/p>\n<pre lang=\"text\">\n   quickCheckWith (stdArgs {maxSize=7}) prop_naturales0\n<\/pre>\n<h4>Soluciones<\/h4>\n<pre lang=\"haskell\">\nimport Test.QuickCheck\n\nnaturales0 :: [Int]\nnaturales0 = concat [[n,0] | n <- [0..]]\n\n-- La propiedad es\nprop_naturales0 :: Int -> Property\nprop_naturales0 n = \n    n >= 0  ==>  naturales0 !! n == n*(1+(-1)^n) `div` 4\n\n-- La comprobaci\u00f3n es\n--    ghci> quickCheckWith (stdArgs {maxSize=7}) prop_naturales0\n--    +++ OK, passed 100 tests.\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Definir la sucesi\u00f3n naturales0 :: [Int] cuyos elementos son los n\u00fameros naturales separados por 0. Por ejemplo, ghci> take 25 naturales0 [0,0,1,0,2,0,3,0,4,0,5,0,6,0,7,0,8,0,9,0,10,0,11,0,12] Comprobar con QuickCheck que el n-\u00e9simo t\u00e9rmino de la sucesi\u00f3n es n*(1+(-1)^n)\/4. Nota. En la comprobaci\u00f3n usar quickCheckWith (stdArgs {maxSize=7}) prop_naturales0 Soluciones import Test.QuickCheck naturales0 :: [Int] naturales0 = concat [[n,0] |&#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":[5],"tags":[8,12,415,146],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/1002"}],"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=1002"}],"version-history":[{"count":3,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/1002\/revisions"}],"predecessor-version":[{"id":1032,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/posts\/1002\/revisions\/1032"}],"wp:attachment":[{"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/media?parent=1002"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/categories?post=1002"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.glc.us.es\/~jalonso\/exercitium\/wp-json\/wp\/v2\/tags?post=1002"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}