{"id":289,"date":"2011-06-24T11:02:30","date_gmt":"2011-06-24T11:02:30","guid":{"rendered":"http:\/\/sites.uac.pt\/amendes\/?p=289"},"modified":"2011-06-24T11:04:16","modified_gmt":"2011-06-24T11:04:16","slug":"289","status":"publish","type":"post","link":"https:\/\/sites.uac.pt\/amendes\/investigacao-operacional\/289\/","title":{"rendered":"The Zero Saga"},"content":{"rendered":"<div id=\"attachment_288\" style=\"width: 310px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-288\" class=\"size-medium wp-image-288\" src=\"http:\/\/sites.uac.pt\/amendes\/files\/2011\/06\/arshamZero-300x245.png\" alt=\"debate um erro comum em IO x\/zero=infinito\" width=\"300\" height=\"245\" srcset=\"https:\/\/sites.uac.pt\/amendes\/files\/2011\/06\/arshamZero-300x245.png 300w, https:\/\/sites.uac.pt\/amendes\/files\/2011\/06\/arshamZero.png 1014w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><p id=\"caption-attachment-288\" class=\"wp-caption-text\">debate um erro comum em IO x\/zero=infinito<\/p><\/div>\n<ol>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rintro\">Introduction<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rsimpalgcom\">A Common Fallacy<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rdivzerotr\">Dividing by Zero Can Get You into Trouble!<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rmorDiscus\">A Sample of the Grown-ups&#8217; Arguments Insisting on Dividing by Zero<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rwhatatlim\">What About Taking the Limit?<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rEducaEducators\">Educating the Educators<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#ractdevid\">Act of Dividing by Zero Is a Meaningless Operation: Forget Its Result<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#roroffal\">Origin of the Common Fallacy: Dividing by Zero<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rneednumbers\">The Need for Numbers<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rnotionz\">The Two Notions of Zero<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rzeropositivenegative\">Is Zero Either Positive or Negative?<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#revenodd\">Is Zero an Even or Odd Number?<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rzeronot\">Zero is &#8220;not there&#8221;<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#roneisnumber\">Is 1 a Number or Just a &#8220;Unit&#8221; for Counting?<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#roriginf\">Origin of Infinity and its Symbol<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rotherdz\">Other Apparent Difficulties with Zero<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rDecatAnaly\">Descartes&#8217;  Representations of Numbers<\/a>\n<ul type=\"Disc\">\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rtworepres\">Vectors and Numbers: Two Distinct Representations of Numbers<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rtwofractions\">Multiplication of Two Fractions<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rtwonegative\">Multiplication of Two Negative Numbers<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rtrigangels\">Trigonometric Functions and Measuring Angles<\/a><\/li>\n<\/ul>\n<\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#runifExtend\">Mathematics Is for Unification and Extensions<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rratinalirra\">Genealogy of Rational and Irrational Numbers<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rpienature\">The Two Numbers Nature Cares Most: Inventions or  Discoveries<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#requation\">Equation: Its Structure, Roots, and Solutions<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rsqrtfour\">SQRT(4) = +2, and &#8211; 2 right? Misplacement of the Sign<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#ronetwo\">1 = 2 right? Confusions between Continuous and Discrete Variables<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#ronefive\">1 = 5 right? Confusions between Numbers and Operations<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rfractionratio\">Recurring Fractions Are Rational Numbers: Confusions between Series and Their Limits<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rteee\">IEEE Special Floating Point<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rzeroone\">0 = 1 right?<\/a>\n<ul type=\"Disc\">\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rtsqrbse\">Taking Square Root of Both Sides of an Equality<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rmodser\">Manipulation on Divergent Series <\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rtakconp\">Taking Conventions for Proofs<\/a><\/li>\n<\/ul>\n<\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rfingercomputer\">From Finger Numbers to Computer: The Most Fascinating Journey<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rerrantv\">Errant Views and Calculator-assisted Experiment<\/a><\/li>\n<li><a href=\"http:\/\/ftp7.freebsd.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/opre\/ZERO.HTM#rrefandfread\">Notes, Further Readings, and References<\/a><\/li>\n<li><a href=\"http:\/\/home.ubalt.edu\/ntsbarsh\/zero\/scientificCal.htm\" target=\"new\"> A Collection of JavaScript E-labs Learning Objects<\/a><br \/>\n<a href=\"http:\/\/www.mirrorservice.org\/sites\/home.ubalt.edu\/ntsbarsh\/Business-stat\/otherapplets\/scientificCal.htm\" target=\"new\"><span style=\"color: #dc143c\">Europe Mirror Site Collection<\/span><\/a><\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Introduction A Common Fallacy Dividing by Zero Can Get You into Trouble! A Sample of the Grown-ups&#8217; Arguments Insisting on Dividing by Zero What About Taking the Limit? Educating the Educators Act of Dividing by Zero Is a Meaningless Operation: Forget Its Result Origin of the Common Fallacy: Dividing by Zero The Need for Numbers [&hellip;]<\/p>\n","protected":false},"author":159,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[109,127],"tags":[110,114],"class_list":["post-289","post","type-post","status-publish","format-standard","hentry","category-investigacao-operacional","category-matematica","tag-definicao","tag-optimizacao"],"_links":{"self":[{"href":"https:\/\/sites.uac.pt\/amendes\/wp-json\/wp\/v2\/posts\/289","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.uac.pt\/amendes\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.uac.pt\/amendes\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.uac.pt\/amendes\/wp-json\/wp\/v2\/users\/159"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.uac.pt\/amendes\/wp-json\/wp\/v2\/comments?post=289"}],"version-history":[{"count":3,"href":"https:\/\/sites.uac.pt\/amendes\/wp-json\/wp\/v2\/posts\/289\/revisions"}],"predecessor-version":[{"id":291,"href":"https:\/\/sites.uac.pt\/amendes\/wp-json\/wp\/v2\/posts\/289\/revisions\/291"}],"wp:attachment":[{"href":"https:\/\/sites.uac.pt\/amendes\/wp-json\/wp\/v2\/media?parent=289"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.uac.pt\/amendes\/wp-json\/wp\/v2\/categories?post=289"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.uac.pt\/amendes\/wp-json\/wp\/v2\/tags?post=289"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}