{"id":77,"date":"2009-10-13T14:04:26","date_gmt":"2009-10-13T11:04:26","guid":{"rendered":"http:\/\/ramuuns.id.lv\/blog\/?p=77"},"modified":"2009-10-13T14:04:26","modified_gmt":"2009-10-13T11:04:26","slug":"interesanta-fiska-par-1-0","status":"publish","type":"post","link":"https:\/\/ramuuns.com\/blog\/2009\/10\/13\/interesanta-fiska-par-1-0\/","title":{"rendered":"Interesanta fi\u0161ka par 1\/0"},"content":{"rendered":"<p>\u0160odien pateicoties <a href=\"http:\/\/peteris-prom.blogspot.com\/\">P\u0113terim<\/a> uzg\u0101ju t\u0101du lielisku resursu k\u0101 <a href=\"http:\/\/mathoverflow.net\">mathoverflow.net<\/a> No <a href=\"http:\/\/mathematics.stackexchange.com\/questions\/259\/fundamental-division-by-zero-closed\">turienes <\/a>sekojo\u0161ais:<\/p>\n<blockquote>\n<p style=\"margin-top: 0px; margin-right: 0px; margin-bottom: 1em; margin-left: 0px; font-size: 14px; vertical-align: baseline; background-image: initial; background-repeat: initial; background-attachment: initial; -webkit-background-clip: initial; -webkit-background-origin: initial; background-color: transparent; clear: both; background-position: initial initial; padding: 0px; border: 0px initial initial;\">There&#8217;s a thing called a\u00a0<em>meadow<\/em> which is a (successful) attempt to make multiplicative inverses globally defined. What it does is instead of defining multiplicative inverses, it defines an operation M \u2192 M, x \u2192 x<sup>-1 <\/sup>with the property\u00a0<strong>not<\/strong> that xx<sup>-1<\/sup> = 1 but that xx<sup>-1<\/sup>x = x. For any non-zero element then this agrees with the usual inverse but one can extend the inverse operation by defining 0<sup>-1<\/sup> = 0 and it works. I may be wrong, but I think that the result is that every field embeds in a meadow.<\/p>\n<p style=\"margin-top: 0px; margin-right: 0px; margin-bottom: 1em; margin-left: 0px; font-size: 14px; vertical-align: baseline; background-image: initial; background-repeat: initial; background-attachment: initial; -webkit-background-clip: initial; -webkit-background-origin: initial; background-color: transparent; clear: both; background-position: initial initial; padding: 0px; border: 0px initial initial;\">So providing you don&#8217;t claim that xx<sup>-1<\/sup> = 1 but rather xx<sup>-1<\/sup>x = x then you are absolutely fine with 0<sup>-1<\/sup> = 0.<\/p>\n<p style=\"margin-top: 0px; margin-right: 0px; margin-bottom: 1em; margin-left: 0px; font-size: 14px; vertical-align: baseline; background-image: initial; background-repeat: initial; background-attachment: initial; -webkit-background-clip: initial; -webkit-background-origin: initial; background-color: transparent; clear: both; background-position: initial initial; padding: 0px; border: 0px initial initial;\">\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>\u0160odien pateicoties P\u0113terim uzg\u0101ju t\u0101du lielisku resursu k\u0101 mathoverflow.net No turienes sekojo\u0161ais: There&#8217;s a thing called a\u00a0meadow which is a (successful) attempt to make multiplicative inverses globally defined. What it does is instead of defining multiplicative inverses, it defines an operation M \u2192 M, x \u2192 x-1 with the property\u00a0not that xx-1 = 1 but [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[6],"tags":[],"_links":{"self":[{"href":"https:\/\/ramuuns.com\/blog\/wp-json\/wp\/v2\/posts\/77"}],"collection":[{"href":"https:\/\/ramuuns.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ramuuns.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ramuuns.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ramuuns.com\/blog\/wp-json\/wp\/v2\/comments?post=77"}],"version-history":[{"count":2,"href":"https:\/\/ramuuns.com\/blog\/wp-json\/wp\/v2\/posts\/77\/revisions"}],"predecessor-version":[{"id":79,"href":"https:\/\/ramuuns.com\/blog\/wp-json\/wp\/v2\/posts\/77\/revisions\/79"}],"wp:attachment":[{"href":"https:\/\/ramuuns.com\/blog\/wp-json\/wp\/v2\/media?parent=77"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ramuuns.com\/blog\/wp-json\/wp\/v2\/categories?post=77"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ramuuns.com\/blog\/wp-json\/wp\/v2\/tags?post=77"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}