{"id":557,"date":"2011-03-27T12:34:31","date_gmt":"2011-03-27T12:34:31","guid":{"rendered":"http:\/\/www.ildikototh.com\/?p=557"},"modified":"2011-03-27T12:35:59","modified_gmt":"2011-03-27T12:35:59","slug":"my-interpretation-of-affine-space-2","status":"publish","type":"post","link":"https:\/\/www.ildikototh.com\/index.php\/2011\/03\/my-interpretation-of-affine-space-2\/","title":{"rendered":"My interpretation of Affine Space (2)"},"content":{"rendered":"<p>In section one, I introduced M (Manfred) and \u016b (\u016blina), who are N&#8217;s (Norbert&#8217;s) parents, and Norbert and \u0101nna are Paprika&#8217;s parents.. but if you ask P personally: &#8220;Hey P, who are your parents?&#8221; He will say, well of course N is my dad.. but he wouldn&#8217;t mention his mom, because his family tree looks like:<br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.ildikototh.com\/wordpress3_0_1\/wp-content\/uploads\/2011\/03\/familytree.png\" alt=\"\" title=\"familytree\" width=\"203\" height=\"103\" class=\"alignnone size-full wp-image-558\" \/><\/p>\n<p>In this world, Males are the only family members (points), with females being the links between the males (vectors).<\/p>\n<p>But one would ask, didn&#8217;t we just say that M<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.ildikototh.com\/wordpress3_0_1\/wp-content\/uploads\/2011\/03\/Plusdot1.png\" alt=\"\" title=\"Plusdot\" width=\"20\" height=\"22\" class=\"alignnone size-full wp-image-563\" \/>\u016b can equal one and only one N&#8230; Yes. But aren&#8217;t there many points that can lie on a vector, perhaps lying on \u016b? i.e. a point Andy can be an element of \u016b?&#8230; yes<\/p>\n<p>But isn&#8217;t this a contradiction? No.<\/p>\n<p>Because &#8230; a woman COULD have many children in her &#8220;life&#8221; (or length of this vector &#8211; that assumes she dies after having her child&#8230; sad), aka she could have an infinite amount of eggs (according to newest research); thus Andy (A) is element of \u016b looks like: <img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.ildikototh.com\/wordpress3_0_1\/wp-content\/uploads\/2011\/03\/AonU.png\" alt=\"\" title=\"AonU\" width=\"114\" height=\"24\" class=\"alignnone size-full wp-image-559\" srcset=\"https:\/\/www.ildikototh.com\/wordpress3_0_1\/wp-content\/uploads\/2011\/03\/AonU.png 114w, https:\/\/www.ildikototh.com\/wordpress3_0_1\/wp-content\/uploads\/2011\/03\/AonU-110x24.png 110w\" sizes=\"auto, (max-width: 114px) 100vw, 114px\" \/>.<\/p>\n<p>If Manfred and \u016b had mated earlier, then A would have been born instead of N, but as a consequence, the life of \u016blina would have been shorter (visually, the vector \u016b would have been shorter by a factor of lambda \u03bb. Let&#8217;s write this hypothetical situation mathematically:<\/p>\n<p>M<img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.ildikototh.com\/wordpress3_0_1\/wp-content\/uploads\/2011\/03\/Plusdot1.png\" alt=\"\" title=\"Plusdot\" width=\"20\" height=\"22\" class=\"alignnone size-full wp-image-563\" \/>\u03bb\u016b = A. <\/p>\n<p>so if lambda = 0.5, A would have been born only if M and \u016b mated at half the life-time of \u016b.<\/p>\n<p>To come full circle, Now imagine the E, \u0112 and Ex\u0112 (Affine space with afore mentioned properties) are permeable. Like layers in Adobe Photoshop, we can place one on top of the other. If the layers are not completely opaque, the layer below will show through.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/www.ildikototh.com\/wordpress3_0_1\/wp-content\/uploads\/2011\/03\/Photoshoplayers.png\" alt=\"\" title=\"Photoshoplayers\" width=\"314\" height=\"364\" class=\"alignnone size-full wp-image-568\" srcset=\"https:\/\/www.ildikototh.com\/wordpress3_0_1\/wp-content\/uploads\/2011\/03\/Photoshoplayers.png 314w, https:\/\/www.ildikototh.com\/wordpress3_0_1\/wp-content\/uploads\/2011\/03\/Photoshoplayers-258x300.png 258w\" sizes=\"auto, (max-width: 314px) 100vw, 314px\" \/><\/p>\n<p>The purpose of this is to point out that every time a point like M and a vector like \u016b mate and create N, N is in fact also in E. It&#8217;s like shining a light through E -> \u0112 -> Ex\u0112. <\/p>\n","protected":false},"excerpt":{"rendered":"<p>In section one, I introduced M (Manfred) and \u016b (\u016blina), who are N&#8217;s (Norbert&#8217;s) parents, and Norbert and \u0101nna are Paprika&#8217;s parents.. but if you ask P personally: &#8220;Hey P, who are your parents?&#8221; He will say, well of course [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[4],"tags":[70,71,69],"class_list":["post-557","post","type-post","status-publish","format-standard","hentry","category-thoughts","tag-affine","tag-interpretation","tag-mathematics","clearfix"],"_links":{"self":[{"href":"https:\/\/www.ildikototh.com\/index.php\/wp-json\/wp\/v2\/posts\/557","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ildikototh.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.ildikototh.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.ildikototh.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ildikototh.com\/index.php\/wp-json\/wp\/v2\/comments?post=557"}],"version-history":[{"count":7,"href":"https:\/\/www.ildikototh.com\/index.php\/wp-json\/wp\/v2\/posts\/557\/revisions"}],"predecessor-version":[{"id":571,"href":"https:\/\/www.ildikototh.com\/index.php\/wp-json\/wp\/v2\/posts\/557\/revisions\/571"}],"wp:attachment":[{"href":"https:\/\/www.ildikototh.com\/index.php\/wp-json\/wp\/v2\/media?parent=557"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.ildikototh.com\/index.php\/wp-json\/wp\/v2\/categories?post=557"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.ildikototh.com\/index.php\/wp-json\/wp\/v2\/tags?post=557"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}