{"id":16825,"date":"2018-04-10T09:12:29","date_gmt":"2018-04-10T07:12:29","guid":{"rendered":"http:\/\/www.gents.it\/blog\/?p=16825"},"modified":"2018-05-02T10:57:16","modified_gmt":"2018-05-02T08:57:16","slug":"15-lezione-di-matematica-applicata-allitalia","status":"publish","type":"post","link":"https:\/\/www.gents.it\/blog\/15-lezione-di-matematica-applicata-allitalia.html","title":{"rendered":"15^ Lezione di Matematica Applicata all&#8217;Italia."},"content":{"rendered":"<h6 style=\"text-align: justify;\"><span style=\"font-size: 10pt;\">Nella Teoria della probabilit\u00e0, la\u00a0<b>LEGGE DELLE ASPETTATIVE ITERATE<\/b>, o\u00a0<b>legge dell&#8217;aspettativa totale<\/b>\u00a0(anche conosciuta sotto una variet\u00e0 di ulteriori denominazioni), afferma che: se\u00a0<span class=\"mwe-math-element\"><img decoding=\"async\" class=\"mwe-math-fallback-image-inline\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/68baa052181f707c662844a465bfeeb135e82bab\" alt=\"X\" aria-hidden=\"true\" \/><\/span>\u00a0\u00e8 una variabile casuale\u00a0integrabile &#8211; ossia, tale che\u00a0<span class=\"mwe-math-element\"><img decoding=\"async\" class=\"mwe-math-fallback-image-inline\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/d2025861ef5cd25736a872486630ee86228556a5\" alt=\"{\\displaystyle {\\textrm {E}}|X|&lt;\\infty }\" aria-hidden=\"true\" \/><\/span>\u00a0e\u00a0<span class=\"mwe-math-element\"><img decoding=\"async\" class=\"mwe-math-fallback-image-inline\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/961d67d6b454b4df2301ac571808a3538b3a6d3f\" alt=\"Y\" aria-hidden=\"true\" \/><\/span>\u00a0\u00e8 un&#8217;ulteriore variabile casuale, non necessariamente integrabile, definita sul medesimo spazio di probabilit\u00e0, allora:\u00a0 \u00a0<img decoding=\"async\" class=\"mwe-math-fallback-image-inline\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/3af8d970bf687cbdf2017edb280f039ed465518f\" alt=\"{\\displaystyle \\ {\\textrm {E}}[{\\textrm {E}}[X|Y]]={\\textrm {E}}[X]}\" aria-hidden=\"true\" \/>\u00a0 ossia, il valore atteso del valore atteso\u00a0di\u00a0<span class=\"mwe-math-element\"><img decoding=\"async\" class=\"mwe-math-fallback-image-inline\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/a96dd62d4cca19aa212ae1216891f4388ca4be24\" alt=\"\\ X\" aria-hidden=\"true\" \/><\/span>\u00a0condizionato rispetto a\u00a0<span class=\"mwe-math-element\"><img decoding=\"async\" class=\"mwe-math-fallback-image-inline\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/5333f51b8fbff7ee7dcece248fc723549a85f5d7\" alt=\"\\ Y\" aria-hidden=\"true\" \/><\/span>\u00a0\u00e8 uguale al valore atteso\u00a0di<span class=\"mwe-math-element\"><img decoding=\"async\" class=\"mwe-math-fallback-image-inline\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/a96dd62d4cca19aa212ae1216891f4388ca4be24\" alt=\"\\ X\" aria-hidden=\"true\" \/><\/span>\u00a0stesso. Si osservi che:<\/span><\/h6>\n<ul>\n<li style=\"text-align: justify;\">\n<h6><span style=\"font-size: 10pt;\">Il valore atteso condizionato\u00a0<span class=\"mwe-math-element\"><img decoding=\"async\" class=\"mwe-math-fallback-image-inline\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/1230001c4a83c220317452315015748d8e2e883e\" alt=\"{\\displaystyle {\\textrm {E}}[X|Y]}\" aria-hidden=\"true\" \/><\/span>\u00a0\u00e8 una variabile casuale<\/span><\/h6>\n<\/li>\n<li style=\"text-align: justify;\">\n<h6><span style=\"font-size: 10pt;\">Il valore atteso\u00a0<span class=\"mwe-math-element\"><img decoding=\"async\" class=\"mwe-math-fallback-image-inline\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/68baa052181f707c662844a465bfeeb135e82bab\" alt=\"X\" aria-hidden=\"true\" \/><\/span>\u00a0condizionato all&#8217; evento\u00a0<span class=\"mwe-math-element\"><img decoding=\"async\" class=\"mwe-math-fallback-image-inline\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/a44172dde4dd4d86180ed6d224a05867c1cbb677\" alt=\"{\\displaystyle \\left\\{Y=y\\right\\}}\" aria-hidden=\"true\" \/><\/span>,\u00a0<span class=\"mwe-math-element\"><img decoding=\"async\" class=\"mwe-math-fallback-image-inline\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/3ecffacf3fc095403787b32046eccdf63452880e\" alt=\"{\\displaystyle \\ {\\textrm {E}}[X|Y=y]}\" aria-hidden=\"true\" \/><\/span>, \u00e8 a sua volta funzione di\u00a0<span class=\"mwe-math-element\"><img decoding=\"async\" class=\"mwe-math-fallback-image-inline\" src=\"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/b8a6208ec717213d4317e666f1ae872e00620a0d\" alt=\"y\" aria-hidden=\"true\" \/><\/span>.<\/span><\/h6>\n<\/li>\n<\/ul>\n<h6 style=\"text-align: justify;\"><span style=\"font-size: 12pt;\"><strong>Proviamo a riscrivere enunciato adattato alla situazione di stallo politico italiana, post elezioni, ponendo:<\/strong><\/span><\/h6>\n<h6 style=\"text-align: center;\"><span style=\"font-size: 12pt;\"><strong> X = M5S, Y = LEGA, E = ACCORSO, y = BERLUSCONI:<\/strong><\/span><\/h6>\n<h6 style=\"text-align: justify;\"><strong><em><span style=\"text-decoration: underline;\">se M5S\u00a0\u00e8 una variabile casuale\u00a0integrabile &#8211; ossia, tale che ACCORDO M5S sia minore dell&#8217;infinito senso di concretezza\u00a0e la LEGA\u00a0\u00e8 un&#8217;ulteriore variabile casuale, non necessariamente integrabile nel Centro Destra unito, definita sul medesimo spazio di probabilit\u00e0, allora:\u00a0 l&#8217;ACCORDO dell&#8217;ACCORDO tra M5S e LEGA \u00e8 uguale all&#8217; ACCORDO M5S\u00a0\u00a0 ossia, il valore atteso del valore atteso\u00a0di M5S\u00a0condizionato rispetto a LEGA\u00a0\u00e8 uguale al valore atteso\u00a0di M5S\u00a0stesso. Si osservi che:<\/span><\/em><\/strong><\/h6>\n<ul>\n<li style=\"text-align: justify;\">\n<h6><strong><em><span style=\"text-decoration: underline;\">Il valore atteso condizionato ACCORDO M5S LEGA\u00a0\u00e8 una variabile casuale<\/span><\/em><\/strong><\/h6>\n<\/li>\n<li style=\"text-align: justify;\">\n<h6><strong><em><span style=\"text-decoration: underline;\">Il valore atteso M5S\u00a0condizionato all&#8217; evento LEGA = BERLUSCONI, ACCORDO M5S LEGA \u00e8 uguale a BERLUSCONI\u00a0\u00e8 a sua volta funzione di &#8230; BERLUSCONI !!!!<\/span><\/em><\/strong><\/h6>\n<\/li>\n<\/ul>\n<div id=\"attachment_16828\" style=\"width: 310px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.gents.it\/blog\/wp-content\/uploads\/2018\/04\/Probabilit\u00e0.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-16828\" class=\"size-medium wp-image-16828\" src=\"https:\/\/www.gents.it\/blog\/wp-content\/uploads\/2018\/04\/Probabilit\u00e0-300x218.jpg\" alt=\"\" width=\"300\" height=\"218\" srcset=\"https:\/\/www.gents.it\/blog\/wp-content\/uploads\/2018\/04\/Probabilit\u00e0-300x218.jpg 300w, https:\/\/www.gents.it\/blog\/wp-content\/uploads\/2018\/04\/Probabilit\u00e0-768x559.jpg 768w, https:\/\/www.gents.it\/blog\/wp-content\/uploads\/2018\/04\/Probabilit\u00e0-413x300.jpg 413w, https:\/\/www.gents.it\/blog\/wp-content\/uploads\/2018\/04\/Probabilit\u00e0.jpg 1023w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><p id=\"caption-attachment-16828\" class=\"wp-caption-text\">Foto da internet<\/p><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Nella Teoria della probabilit\u00e0, la\u00a0LEGGE DELLE ASPETTATIVE ITERATE, o\u00a0legge dell&#8217;aspettativa totale\u00a0(anche conosciuta sotto una variet\u00e0 di ulteriori denominazioni), afferma che: se\u00a0\u00a0\u00e8 una variabile casuale\u00a0integrabile &#8211; ossia, tale che\u00a0\u00a0e\u00a0\u00a0\u00e8 un&#8217;ulteriore variabile casuale, non necessariamente integrabile, definita sul medesimo spazio di probabilit\u00e0, &hellip; <a href=\"https:\/\/www.gents.it\/blog\/15-lezione-di-matematica-applicata-allitalia.html\">Continua a leggere<span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8],"tags":[],"class_list":["post-16825","post","type-post","status-publish","format-standard","hentry","category-pensieri-e-nuvole"],"views":1285,"_links":{"self":[{"href":"https:\/\/www.gents.it\/blog\/wp-json\/wp\/v2\/posts\/16825","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gents.it\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gents.it\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gents.it\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gents.it\/blog\/wp-json\/wp\/v2\/comments?post=16825"}],"version-history":[{"count":5,"href":"https:\/\/www.gents.it\/blog\/wp-json\/wp\/v2\/posts\/16825\/revisions"}],"predecessor-version":[{"id":16831,"href":"https:\/\/www.gents.it\/blog\/wp-json\/wp\/v2\/posts\/16825\/revisions\/16831"}],"wp:attachment":[{"href":"https:\/\/www.gents.it\/blog\/wp-json\/wp\/v2\/media?parent=16825"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gents.it\/blog\/wp-json\/wp\/v2\/categories?post=16825"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gents.it\/blog\/wp-json\/wp\/v2\/tags?post=16825"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}