{"id":990,"date":"2020-09-27T21:56:41","date_gmt":"2020-09-27T21:56:41","guid":{"rendered":"http:\/\/region10.herbzinser64.com\/dir\/science03\/?p=990"},"modified":"2020-09-27T21:56:41","modified_gmt":"2020-09-27T21:56:41","slug":"the-algebra-civil-war-of-abe-lincoln","status":"publish","type":"post","link":"http:\/\/region10.herbzinser64.com\/dir\/science03\/2020\/09\/27\/the-algebra-civil-war-of-abe-lincoln\/","title":{"rendered":"The Algebra CIVIL WAR of Abe Lincoln"},"content":{"rendered":"<p class=\"c31\"><span class=\"c0 c63\">RD-blog-number-2429 by Herb Zinser<\/span><\/p>\n<h2 class=\"c31 c25\"><\/h2>\n<h2 class=\"c31\"><span class=\"c39 c40 c50\" style=\"color: #0000ff;\">The Algebra CIVIL WAR<br \/>\nof Abe Lincoln<\/span><\/h2>\n<p class=\"c31 c25\">\n<h3 id=\"h.earche31pp41\" class=\"c62\"><span class=\"c12 c10\">Herb Zinser&#8217;s Science War report<\/span><\/h3>\n<p class=\"c42\"><span class=\"c0\">Various examples of EVENTS as math and science conflict expressions with the humanities and social sciences. C.P. SNOW and his 1959 lecture &#8220;Two Cultures&#8221; outlined the problem that has become a tragic REALITY after year 2000.<\/span><\/p>\n<p class=\"c42 c25\">\n<h2 id=\"h.kdtucv2894zg\" class=\"c31 c45\"><span class=\"c29 c32\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/region1.herbzinser08.com\/dir\/index.php\/blog21\/&amp;sa=D&amp;ust=1601247296366000&amp;usg=AOvVaw11riCEMdNcy14pVKgh6zEf\">Algebra and the<br \/>\nquadratic equation WAR zone reports<\/a><\/span><\/h2>\n<p class=\"c4\"><span class=\"c0\">Modern warfare in the mathematical-physcs &#8230;&#8230; \u00a0algebra \u00a0EXPRESSION dimension<\/span><\/p>\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c31\"><span class=\"c50\">The Algebra CIVIL WAR<br \/>\nof Abe Lincoln<\/span><\/p>\n<p class=\"c41\"><span class=\"c0\">The American Civil WAR was composed of many components.<\/span><\/p>\n<p class=\"c16\">\n<p class=\"c4\"><span class=\"c0\">It was an expression by NATURE of various social engineering problems in NORTH America;<br \/>\nthe war \u00a0was an ROC =Region of Convergence&#8230;.. a concept that describes Nature&#8217;s signal processing systems and its feedback ERROR signals. \u00a0<\/span><\/p>\n<p class=\"c4\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710a9abfebb.png\" alt=\"\" \/><\/p>\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c4\"><span class=\"c0\">The concept of ROC \u00a0is described in many \u00a0engineering textbooks with titles like: Signals and Systems \u00a0 &#8230;..Feedback Control Systems&#8230;etc.<\/span><\/p>\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c4\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710a9b822e0.png\" alt=\"\" \/><\/p>\n<p class=\"c41\"><span class=\"c0\">\u00a0<\/span><\/p>\n<table class=\"c44\">\n<tbody>\n<tr class=\"c36\">\n<td class=\"c22\" colspan=\"2\" rowspan=\"1\">\n<p class=\"c57\"><span class=\"c10\">Abraham Lincoln<\/span><\/p>\n<\/td>\n<\/tr>\n<tr class=\"c33\">\n<td class=\"c47\" colspan=\"2\" rowspan=\"1\">\n<p class=\"c23\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710a9c3e024.png\" alt=\"\" \/><\/p>\n<\/td>\n<\/tr>\n<tr class=\"c34\">\n<td class=\"c53\" colspan=\"2\" rowspan=\"1\">\n<p class=\"c23\"><span class=\"c1\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/List_of_Presidents_of_the_United_States&amp;sa=D&amp;ust=1601247296371000&amp;usg=AOvVaw3x1EONAGNQZwfYehm-qR-5\">16th President of the United States<\/a><\/span><\/p>\n<\/td>\n<\/tr>\n<tr class=\"c17\">\n<td class=\"c46\" colspan=\"2\" rowspan=\"1\">\n<p class=\"c23\"><span class=\"c9\">In office<\/span><\/p>\n<p class=\"c23\"><span class=\"c0\">March 4, 1861 \u2013 April 15, 1865<\/span><\/p>\n<\/td>\n<\/tr>\n<tr class=\"c48\">\n<td class=\"c61\" colspan=\"1\" rowspan=\"1\">\n<p class=\"c23\"><span class=\"c10\">Vice President<\/span><\/p>\n<\/td>\n<td class=\"c54\" colspan=\"1\" rowspan=\"1\">\n<p class=\"c4\"><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Hannibal_Hamlin&amp;sa=D&amp;ust=1601247296373000&amp;usg=AOvVaw1x80jp98IGDaTEHY9hgolF\">Hannibal Hamlin<\/a><\/span><\/p>\n<p class=\"c37\"><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Andrew_Johnson&amp;sa=D&amp;ust=1601247296373000&amp;usg=AOvVaw1Hlgdvflk8j_peOr9FOKPL\">Andrew Johnson<\/a><\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p class=\"c41\"><span class=\"c0\">.<\/span><\/p>\n<p class=\"c41\"><span class=\"c0\">.<\/span><\/p>\n<h3 id=\"h.xluf3mkq2lza\" class=\"c18\"><span class=\"c13\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.nps.gov\/civilwar\/&amp;sa=D&amp;ust=1601247296374000&amp;usg=AOvVaw1z6hkLke4A5wQC0DwRb18U\">The\u00a0<\/a><\/span><span class=\"c3\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.nps.gov\/civilwar\/&amp;sa=D&amp;ust=1601247296374000&amp;usg=AOvVaw1z6hkLke4A5wQC0DwRb18U\">Civil War<\/a><\/span><span class=\"c13\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.nps.gov\/civilwar\/&amp;sa=D&amp;ust=1601247296375000&amp;usg=AOvVaw0khUVdaiRgwVD-kgDIjcc-\">\u00a0&#8211;<\/a><\/span><\/h3>\n<p class=\"c4\"><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.nps.gov\/&amp;sa=D&amp;ust=1601247296375000&amp;usg=AOvVaw2hsZW7WhKzvNwqcEWyXWAc\">www.nps.gov\/<\/a><\/span><span class=\"c10\">civilwar<\/span><span class=\"c0\">\/<\/span><\/p>\n<p class=\"c4\"><span class=\"c15\">From 1861 to 1865, the American union was broken as brother fought brother in a\u00a0<\/span><span class=\"c6\">Civil War<\/span><span class=\"c15\">\u00a0that remains a defining moment in our nation&#8217;s history. Its causes\u00a0<\/span><span class=\"c9\">&#8230;<\/span><\/p>\n<p class=\"c4\"><span class=\"c9\">.<\/span><\/p>\n<p class=\"c4\"><span class=\"c9\">.<\/span><\/p>\n<p class=\"c4\"><span class=\"c9\">.<\/span><\/p>\n<p class=\"c2\">\n<p class=\"c4\"><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/wps.ablongman.com\/long_carnes_an_11\/0,7137,251471-,00.html&amp;sa=D&amp;ust=1601247296377000&amp;usg=AOvVaw0FFtGmq20_hy70TX85Mbm7\">The\u00a0<\/a><\/span><span class=\"c1\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/wps.ablongman.com\/long_carnes_an_11\/0,7137,251471-,00.html&amp;sa=D&amp;ust=1601247296377000&amp;usg=AOvVaw0FFtGmq20_hy70TX85Mbm7\">War to\u00a0<\/a><\/span><span class=\"c1 c26\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/wps.ablongman.com\/long_carnes_an_11\/0,7137,251471-,00.html&amp;sa=D&amp;ust=1601247296377000&amp;usg=AOvVaw0FFtGmq20_hy70TX85Mbm7\">Save the Union<\/a><\/span><\/p>\n<p class=\"c4\"><span class=\"c0\">wps.ablongman.com\/long_carnes_an_11\/0,7137,251471-,00.html<\/span><\/p>\n<p class=\"c4\"><span class=\"c15\">&#8212;Chapter 15: The War to\u00a0<\/span><span class=\"c6\">Save the Union<\/span><span class=\"c0\">,<\/span><\/p>\n<p class=\"c4\"><span class=\"c0\">&#8212;Chapter 16: Reconstruction and the South,<\/span><\/p>\n<p class=\"c4\"><span class=\"c0\">&#8212;Chapter 17: In the Wake of War,<\/span><\/p>\n<p class=\"c4\"><span class=\"c0\">.<\/span><\/p>\n<p class=\"c4\"><span class=\"c0\">.<\/span><\/p>\n<p class=\"c4\"><span class=\"c0\">.<\/span><\/p>\n<h3 id=\"h.56n1b8nnsube\" class=\"c18\"><span class=\"c3\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529&amp;sa=D&amp;ust=1601247296379000&amp;usg=AOvVaw1qDs6ddUt0N_8roylPErEC\">Union<\/a><\/span><span class=\"c13\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529&amp;sa=D&amp;ust=1601247296379000&amp;usg=AOvVaw1qDs6ddUt0N_8roylPErEC\">\u00a0(<\/a><\/span><span class=\"c3\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529&amp;sa=D&amp;ust=1601247296380000&amp;usg=AOvVaw1VZF9X53si0Wo0-z9bCRdZ\">set<\/a><\/span><span class=\"c13\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529&amp;sa=D&amp;ust=1601247296380000&amp;usg=AOvVaw1VZF9X53si0Wo0-z9bCRdZ\">\u00a0theory) &#8211; Wikipedia, the free encyclopedia<\/a><\/span><\/h3>\n<p class=\"c4\"><span class=\"c15\">en.wikipedia.org\/wiki\/<\/span><span class=\"c10\">Union<\/span><span class=\"c15\">_(<\/span><span class=\"c10\">set<\/span><span class=\"c0\">_theory)<\/span><\/p>\n<p class=\"c4\"><span class=\"c15\">In\u00a0<\/span><span class=\"c6\">set<\/span><span class=\"c15\">\u00a0theory, the\u00a0<\/span><span class=\"c6\">union<\/span><span class=\"c15\">\u00a0(denoted by \u222a) of a collection of\u00a0<\/span><span class=\"c6\">sets<\/span><span class=\"c15\">\u00a0is the\u00a0<\/span><span class=\"c6\">set<\/span><span class=\"c15\">\u00a0of all distinct elements in the collection. It is one of the fundamental operations through\u00a0<\/span><span class=\"c9\">&#8230;<\/span><\/p>\n<p class=\"c4\"><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529%23Union_of_two_sets&amp;sa=D&amp;ust=1601247296382000&amp;usg=AOvVaw08dFZA3iwiXJq645qLwbIM\">Union of two sets<\/a><\/span><span class=\"c15\">\u00a0&#8211;\u00a0<\/span><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529%23Algebraic_properties&amp;sa=D&amp;ust=1601247296382000&amp;usg=AOvVaw2D72zoBU5G1oyfqt3ueatN\">Algebraic properties<\/a><\/span><span class=\"c15\">\u00a0&#8211;\u00a0<\/span><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529%23Finite_unions&amp;sa=D&amp;ust=1601247296383000&amp;usg=AOvVaw2mHTpVPXCexmGQ8iLAZgK6\">Finite unions<\/a><\/span><span class=\"c15\">\u00a0&#8211;\u00a0<\/span><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529%23Arbitrary_unions&amp;sa=D&amp;ust=1601247296383000&amp;usg=AOvVaw3nzFj-zs5d0vTk_ttiSoVY\">Arbitrary unions<\/a><\/span><\/p>\n<h3 id=\"h.tb59q2t1fjrt\" class=\"c35\"><span class=\"c3\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.onlinemathlearning.com\/union-of-sets.html&amp;sa=D&amp;ust=1601247296383000&amp;usg=AOvVaw0KvDWXeHXOQWvHu93qvF0d\">Union Of Sets<\/a><\/span><span class=\"c13\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.onlinemathlearning.com\/union-of-sets.html&amp;sa=D&amp;ust=1601247296384000&amp;usg=AOvVaw10TWgWiWX--1-Io0CvFHiv\">\u00a0(with worked solutions)<\/a><\/span><\/h3>\n<h3 id=\"h.yicbtod44lc3\" class=\"c35\"><span class=\"c3\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.onlinemathlearning.com\/union-of-sets.html&amp;sa=D&amp;ust=1601247296384000&amp;usg=AOvVaw10TWgWiWX--1-Io0CvFHiv\">Union Of Sets<\/a><\/span><span class=\"c13\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.onlinemathlearning.com\/union-of-sets.html&amp;sa=D&amp;ust=1601247296384000&amp;usg=AOvVaw10TWgWiWX--1-Io0CvFHiv\">\u00a0(with worked solutions)<\/a><\/span><\/h3>\n<h3 id=\"h.x7dj73dmqgth\" class=\"c35\"><span class=\"c3\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.onlinemathlearning.com\/union-of-sets.html&amp;sa=D&amp;ust=1601247296385000&amp;usg=AOvVaw1sqbGXIwNsO-sQuN-xD4Za\">Union Of Sets<\/a><\/span><span class=\"c13\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.onlinemathlearning.com\/union-of-sets.html&amp;sa=D&amp;ust=1601247296385000&amp;usg=AOvVaw1sqbGXIwNsO-sQuN-xD4Za\">\u00a0(with worked solutions \u00a0&#8230;such as the \u00a0mathematics CIVIL WAR)<\/a><\/span><\/h3>\n<p class=\"c4\"><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.onlinemathlearning.com\/&amp;sa=D&amp;ust=1601247296386000&amp;usg=AOvVaw0o_BUWAZOb-yb8izExBqB5\">www.onlinemathlearning.com\/<\/a><\/span><span class=\"c10\">union-of-sets<\/span><span class=\"c0\">.html<\/span><\/p>\n<p class=\"c14\"><span class=\"c6\">Union of Sets<\/span><span class=\"c15\">.\u00a0<\/span><span class=\"c10\">&#8230;<\/span><span class=\"c0\">\u00a0<\/span><\/p>\n<p class=\"c14\"><span class=\"c15\">Set Theory:\u00a0<\/span><span class=\"c6\">Union Of Sets<\/span><span class=\"c15\">. The union of two sets A and B is the set of elements, which are in A or in B or in both. It is denoted by A \u222a B and is\u00a0<\/span><span class=\"c9\">&#8230;<\/span><\/p>\n<p class=\"c14\"><span class=\"c10\">.<\/span><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710a9ce72ee.png\" alt=\"\" \/><\/p>\n<p class=\"c14\"><span class=\"c9\">.<\/span><\/p>\n<p class=\"c4\"><span class=\"c1 c26\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cliffsnotes.com\/study_guide\/Set-Theory.topicArticleId-254915,articleId-254839.html&amp;sa=D&amp;ust=1601247296387000&amp;usg=AOvVaw0G9i4Qc1lG-sx45Bmsy_Fl\">Algebra<\/a><\/span><span class=\"c1\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cliffsnotes.com\/study_guide\/Set-Theory.topicArticleId-254915,articleId-254839.html&amp;sa=D&amp;ust=1601247296387000&amp;usg=AOvVaw0G9i4Qc1lG-sx45Bmsy_Fl\">\u00a0I:\u00a0<\/a><\/span><span class=\"c1 c26\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cliffsnotes.com\/study_guide\/Set-Theory.topicArticleId-254915,articleId-254839.html&amp;sa=D&amp;ust=1601247296388000&amp;usg=AOvVaw3Cp9lQMZASHzsnD5Eof4wz\">Set Theory<\/a><\/span><\/p>\n<p class=\"c14\"><span class=\"c15\">The\u00a0<\/span><span class=\"c6\">union<\/span><span class=\"c15\">\u00a0of two\u00a0<\/span><span class=\"c6\">sets<\/span><span class=\"c15\">\u00a0is a\u00a0<\/span><span class=\"c6\">set<\/span><span class=\"c15\">\u00a0containing all the numbers in those\u00a0<\/span><span class=\"c6\">sets<\/span><span class=\"c15\">, but any duplicates are only written once. The symbol for finding the\u00a0<\/span><span class=\"c6\">union<\/span><span class=\"c15\">\u00a0of two\u00a0<\/span><span class=\"c6\">sets<\/span><span class=\"c0\">\u00a0is \u222a.<\/span><\/p>\n<p class=\"c4\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710a9db0532.png\" alt=\"\" \/><\/p>\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c14\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710a9eba278.jpg\" alt=\"\" \/><\/p>\n<p class=\"c11\">\n<p class=\"c11\">\n<p class=\"c11\">\n<p class=\"c11\">\n<p class=\"c14\"><span class=\"c0\">\u00a0<\/span><\/p>\n<p class=\"c8\"><span class=\"c10\">The Union<\/span><span class=\"c0\">\u00a0War, Gary Gallagher, Harvard University Press,<\/span><\/p>\n<h3 id=\"h.e0ono0bkha9z\" class=\"c18\"><span class=\"c13\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/library.thinkquest.org\/C0126820\/algebra.html&amp;sa=D&amp;ust=1601247296389000&amp;usg=AOvVaw29nas8iHyj0B0gL3T8MFZ_\">laws of the\u00a0<\/a><\/span><span class=\"c3\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/library.thinkquest.org\/C0126820\/algebra.html&amp;sa=D&amp;ust=1601247296390000&amp;usg=AOvVaw00aja-9oiqQWZdDCb_7iAe\">algebra<\/a><\/span><span class=\"c13\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/library.thinkquest.org\/C0126820\/algebra.html&amp;sa=D&amp;ust=1601247296390000&amp;usg=AOvVaw00aja-9oiqQWZdDCb_7iAe\">\u00a0of\u00a0<\/a><\/span><span class=\"c3\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/library.thinkquest.org\/C0126820\/algebra.html&amp;sa=D&amp;ust=1601247296391000&amp;usg=AOvVaw2z_2GlzPUQ6ERv7I8hXjuZ\">sets<\/a><\/span><span class=\"c13\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/library.thinkquest.org\/C0126820\/algebra.html&amp;sa=D&amp;ust=1601247296391000&amp;usg=AOvVaw2z_2GlzPUQ6ERv7I8hXjuZ\">\u00a0&#8211; Library &#8211; ThinkQuest<\/a><\/span><\/h3>\n<p class=\"c4\"><span class=\"c15\">library.thinkquest.org\/C0126820\/<\/span><span class=\"c10\">algebra<\/span><span class=\"c0\">.html<\/span><\/p>\n<p class=\"c14\"><span class=\"c15\">The\u00a0<\/span><span class=\"c6\">union of sets<\/span><span class=\"c15\">\u00a0A and B is the\u00a0<\/span><span class=\"c6\">set<\/span><span class=\"c15\">\u00a0of all elements which belong to A, to B or to both. It is denoted by A B,. A B={x | x U, x A or x B}. The conjunction \u201cor\u201d permits\u00a0<\/span><span class=\"c9\">&#8230;<\/span><\/p>\n<p class=\"c11\">\n<p class=\"c11\">\n<ul class=\"c56 lst-kix_wkshwa80prox-0 start\">\n<li class=\"c20 c43\"><span class=\"c10 c27\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.regentsprep.org\/Regents\/math\/ALGEBRA\/AP2\/LVenn.htm&amp;sa=D&amp;ust=1601247296392000&amp;usg=AOvVaw1llU3Em4egFCS8OyxxEA56\">Working with\u00a0<\/a><\/span><span class=\"c3 c38\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.regentsprep.org\/Regents\/math\/ALGEBRA\/AP2\/LVenn.htm&amp;sa=D&amp;ust=1601247296392000&amp;usg=AOvVaw1llU3Em4egFCS8OyxxEA56\">Sets<\/a><\/span><span class=\"c10 c27\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.regentsprep.org\/Regents\/math\/ALGEBRA\/AP2\/LVenn.htm&amp;sa=D&amp;ust=1601247296392000&amp;usg=AOvVaw1llU3Em4egFCS8OyxxEA56\">\u00a0and\u00a0<\/a><\/span><span class=\"c3 c38\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.regentsprep.org\/Regents\/math\/ALGEBRA\/AP2\/LVenn.htm&amp;sa=D&amp;ust=1601247296393000&amp;usg=AOvVaw2QWqQF9PWaiJo8gEk02C2b\">Venn Diagrams<br \/>\n<\/a><\/span><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.regentsprep.org\/Regents\/math\/ALGEBRA\/AP2\/L&amp;sa=D&amp;ust=1601247296393000&amp;usg=AOvVaw0gJ91EVfpOxTNRq7umc8HS\">www.regentsprep.org\/Regents\/math\/ALGEBRA\/AP2\/L<\/a><\/span><span class=\"c10\">Venn<\/span><span class=\"c15\">.htm<br \/>\nWorking with\u00a0<\/span><span class=\"c6\">Sets<\/span><span class=\"c15\">\u00a0and\u00a0<\/span><span class=\"c6\">Venn Diagrams<\/span><span class=\"c15\">.\u00a0<\/span><span class=\"c10\">&#8230;<\/span><span class=\"c15\">\u00a0the remaining region in U, the universal\u00a0<\/span><span class=\"c6\">set<\/span><span class=\"c15\">, is labeled , and is called the complement of the\u00a0<\/span><span class=\"c6\">union of sets<\/span><span class=\"c0\">\u00a0A and B.<\/span><\/li>\n<li class=\"c20 c43\"><span class=\"c3 c38\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cs.uni.edu\/~campbell\/stat\/venn.html&amp;sa=D&amp;ust=1601247296394000&amp;usg=AOvVaw2AU4i8FHnJTCcxVsZxGxl1\">Venn Diagrams<br \/>\n<\/a><\/span><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cs.uni.edu\/~campbell\/stat\/&amp;sa=D&amp;ust=1601247296394000&amp;usg=AOvVaw3xgRqpmU_0FQcfeNiHXirF\">www.cs.uni.edu\/~campbell\/stat\/<\/a><\/span><span class=\"c10\">venn<\/span><span class=\"c15\">.html<br \/>\nThe\u00a0<\/span><span class=\"c6\">Venn diagram<\/span><span class=\"c15\">, is a convenient way to illustrate definitions within the algebra\u00a0<\/span><span class=\"c10\">&#8230;<\/span><span class=\"c15\">\u00a0If the\u00a0<\/span><span class=\"c6\">union<\/span><span class=\"c15\">\u00a0of two mutually exclusive\u00a0<\/span><span class=\"c6\">sets<\/span><span class=\"c15\">\u00a0is the universal\u00a0<\/span><span class=\"c6\">set<\/span><span class=\"c15\">\u00a0they are called\u00a0<\/span><span class=\"c9\">&#8230;<\/span><\/li>\n<\/ul>\n<h1 id=\"h.m7ba9fgfuycj\" class=\"c55\"><span class=\"c12 c10\">Venn Diagrams<\/span><\/h1>\n<p class=\"c14\"><span class=\"c15\">The\u00a0<\/span><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www-groups.dcs.st-and.ac.uk\/~history\/Mathematicians\/Venn.html&amp;sa=D&amp;ust=1601247296395000&amp;usg=AOvVaw27M_hwi5mQAkiiwKwsUotH\">Venn\u00a0<\/a><\/span><span class=\"c0\">diagram, is a convenient way to illustrate definitions within the algebra of sets. Consider a Universal set with two subsets A and B. We may represent this as a rectangle containing the universal set, with circles containing the elements of A and B.<\/span><\/p>\n<h3 id=\"h.atg6nxonqdyq\" class=\"c35\"><span class=\"c13\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=https:\/\/www.google.com\/search?q%3Dcivil%2Bwar%2Bwounded%26hl%3Den%26tbo%3Du%26tbm%3Disch%26source%3Duniv%26sa%3DX%26ei%3DZo-kUJjtAaSy2wXj8oBA%26ved%3D0CC4QsAQ&amp;sa=D&amp;ust=1601247296396000&amp;usg=AOvVaw13ZeWrjJT4A3bToFA4urBr\">Images for\u00a0<\/a><\/span><span class=\"c3\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=https:\/\/www.google.com\/search?q%3Dcivil%2Bwar%2Bwounded%26hl%3Den%26tbo%3Du%26tbm%3Disch%26source%3Duniv%26sa%3DX%26ei%3DZo-kUJjtAaSy2wXj8oBA%26ved%3D0CC4QsAQ&amp;sa=D&amp;ust=1601247296396000&amp;usg=AOvVaw13ZeWrjJT4A3bToFA4urBr\">civil war wounded<\/a><\/span><\/h3>\n<p class=\"c31 c25\">\n<p class=\"c31 c25\">\n<p class=\"c31\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710a9f47c7c.gif\" alt=\"\" \/><\/p>\n<p class=\"c11\">\n<h1 id=\"h.wb2skyf2djm6\" class=\"c55\"><span class=\"c12 c10\">Vein Diagrams &#8211;&gt; the living Earth cell veins&#8230;Earth Hematology class<\/span><\/h1>\n<h3 id=\"h.glaa51vvgy82\" class=\"c35\"><span class=\"c3\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.phil.muni.cz\/~vndrzl\/amstudies\/civilwar_stats.htm&amp;sa=D&amp;ust=1601247296397000&amp;usg=AOvVaw0Z0Lhm1Z16H5uVmlOMhDuw\">Civil War<\/a><\/span><span class=\"c13\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.phil.muni.cz\/~vndrzl\/amstudies\/civilwar_stats.htm&amp;sa=D&amp;ust=1601247296397000&amp;usg=AOvVaw0Z0Lhm1Z16H5uVmlOMhDuw\">\u00a0Statistics<\/a><\/span><\/h3>\n<p class=\"c14\"><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.phil.muni.cz\/~vndrzl\/amstudies\/&amp;sa=D&amp;ust=1601247296398000&amp;usg=AOvVaw2LZaTHjlOmX_oYJdYXPWTv\">www.phil.muni.cz\/~vndrzl\/amstudies\/<\/a><\/span><span class=\"c10\">civilwar<\/span><span class=\"c0\">_stats.htm<\/span><\/p>\n<p class=\"c14\"><span class=\"c15\">The\u00a0<\/span><span class=\"c6\">Civil War<\/span><span class=\"c15\">, America&#8217;s bloodiest conflict, cost nearly 1,100,000 casualties and claimed more than\u00a0<\/span><span class=\"c10\">&#8230;<\/span><span class=\"c15\">\u00a0Confederate Generals killed or mortally\u00a0<\/span><span class=\"c6\">wounded<\/span><span class=\"c15\">\u00a0in battle\u00a0<\/span><span class=\"c9\">&#8230;<\/span><\/p>\n<h3 id=\"h.ew81jz7zghh2\" class=\"c35\"><span class=\"c13\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.livescience.com\/13672-photos-civil-war-anniversary-injuries.html&amp;sa=D&amp;ust=1601247296399000&amp;usg=AOvVaw0HhDCo5yPQ2yffu17Ve6ld\">Faces and Injuries of the\u00a0<\/a><\/span><span class=\"c3\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.livescience.com\/13672-photos-civil-war-anniversary-injuries.html&amp;sa=D&amp;ust=1601247296400000&amp;usg=AOvVaw2r3vtDfPLZeA6uBhU64yBU\">Civil War<\/a><\/span><span class=\"c13\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.livescience.com\/13672-photos-civil-war-anniversary-injuries.html&amp;sa=D&amp;ust=1601247296400000&amp;usg=AOvVaw2r3vtDfPLZeA6uBhU64yBU\">\u00a0| 150\u00a0<\/a><\/span><span class=\"c3\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.livescience.com\/13672-photos-civil-war-anniversary-injuries.html&amp;sa=D&amp;ust=1601247296400000&amp;usg=AOvVaw2r3vtDfPLZeA6uBhU64yBU\">Civil War<\/a><\/span><span class=\"c13\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.livescience.com\/13672-photos-civil-war-anniversary-injuries.html&amp;sa=D&amp;ust=1601247296401000&amp;usg=AOvVaw0Kg3Yag5Nv7gU_lhsM_qxx\">\u00a0&#8230;<\/a><\/span><\/h3>\n<p class=\"c14\"><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.livescience.com\/13672-photos-&amp;sa=D&amp;ust=1601247296401000&amp;usg=AOvVaw1yqqPePfyp1ZuR0jYcA8fL\">www.livescience.com\/13672-photos-<\/a><\/span><span class=\"c10\">civil<\/span><span class=\"c15\">&#8211;<\/span><span class=\"c10\">war<\/span><span class=\"c0\">-anniversary-injuries.ht&#8230;<\/span><\/p>\n<p class=\"c14\"><span class=\"c15\">Apr 12, 2011 \u2013 On the 150th anniversary of the start of the\u00a0<\/span><span class=\"c6\">Civil War<\/span><span class=\"c15\">, here&#8217;s a look at battlefield medicine, including amputations, shell\u00a0<\/span><span class=\"c6\">wounds<\/span><span class=\"c15\">, cracked skulls\u00a0<\/span><span class=\"c9\">.<\/span><\/p>\n<p class=\"c11\">\n<h3 id=\"h.1ec326u297vn\" class=\"c35\"><span class=\"c13\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=https:\/\/www.google.com\/search?q%3Dcivil%2Bwar%2Bwounded%26hl%3Den%26tbo%3Du%26tbm%3Disch%26source%3Duniv%26sa%3DX%26ei%3DZo-kUJjtAaSy2wXj8oBA%26ved%3D0CC4QsAQ&amp;sa=D&amp;ust=1601247296403000&amp;usg=AOvVaw3FklZ1tYS4Gc82P0uKK-nr\">Images for\u00a0<\/a><\/span><span class=\"c3\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=https:\/\/www.google.com\/search?q%3Dcivil%2Bwar%2Bwounded%26hl%3Den%26tbo%3Du%26tbm%3Disch%26source%3Duniv%26sa%3DX%26ei%3DZo-kUJjtAaSy2wXj8oBA%26ved%3D0CC4QsAQ&amp;sa=D&amp;ust=1601247296403000&amp;usg=AOvVaw3FklZ1tYS4Gc82P0uKK-nr\">civil war wounded<\/a><\/span><\/h3>\n<p class=\"c14\"><span class=\"c0\">\u00a0<\/span><\/p>\n<p class=\"c8\"><span class=\"c10\">&#8230;<\/span><span class=\"c15\">\u00a0<\/span><span class=\"c10\">Wounded Civil War<\/span><span class=\"c0\">\u00a0soliders<\/span><\/p>\n<p class=\"c11\">\n<p class=\"c14\"><span class=\"c9\">civil war amputees \u00a0&#8211;&gt; SET THEORY WAR \u00a0&#8230;set of body parts<\/span><\/p>\n<h1 id=\"h.b99db9v60vxj\" class=\"c55\"><span class=\"c12 c10\">Venn Diagrams &#8211;&gt; bio-math Blood<br \/>\nVein Diagrams \u00a0\u2026.. \u00a0 the algebra wounded<\/span><\/h1>\n<p class=\"c11\">\n<p class=\"c14\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710a9fc4187.jpg\" alt=\"\" \/><\/p>\n<p class=\"c14\"><span class=\"c0\">\u00a0<\/span><\/p>\n<p class=\"c14\"><span class=\"c0\">\u00a0<\/span><\/p>\n<p class=\"c8\"><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.google.com\/imgres?hl%3Den%26sa%3DX%26tbo%3Dd%26biw%3D1366%26bih%3D665%26tbm%3Disch%26tbnid%3D2py0utRgmc8iiM:%26imgrefurl%3Dhttp:\/\/www.museumoffloridahistory.com\/exhibits\/permanent\/civilwar\/13.cfm%26docid%3DghOMmufADNXknM%26imgurl%3Dhttp:\/\/www.museumoffloridahistory.com\/exhibits\/permanent\/civilwar\/images\/pvtsewell.jpg%26w%3D261%26h%3D375%26ei%3DOZCkUK2BKOqe2QWxuIHQBQ%26zoom%3D1%26iact%3Dhc%26vpx%3D807%26vpy%3D266%26dur%3D6974%26hovh%3D269%26hovw%3D187%26tx%3D178%26ty%3D353%26sig%3D103011197660209969067%26page%3D1%26tbnh%3D137%26tbnw%3D89%26start%3D0%26ndsp%3D26%26ved%3D1t:429,r:14,s:0,i:126&amp;sa=D&amp;ust=1601247296405000&amp;usg=AOvVaw1xOWK_PyKh_jvS5XETFUh0\">pvtsewell.jpg<\/a><\/span><\/p>\n<p class=\"c8\"><span class=\"c15\">261 \u00d7 375 &#8211;\u00a0<\/span><span class=\"c10\">Civil War<\/span><span class=\"c0\">\u00a0Image Private Charles L. Sewell<\/span><\/p>\n<p class=\"c8\"><span class=\"c0\">\u00a0<\/span><\/p>\n<p class=\"c8\"><span class=\"c0\">\u00a0<\/span><\/p>\n<p class=\"c8\"><span class=\"c0\">\u00a0<\/span><\/p>\n<p class=\"c14\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710aa0626d1.jpg\" alt=\"\" \/><\/p>\n<p class=\"c8\"><span class=\"c0\">\u00a0<\/span><\/p>\n<p class=\"c14\"><span class=\"c0\">\u00a0<\/span><\/p>\n<p class=\"c8\"><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.google.com\/imgres?hl%3Den%26sa%3DX%26tbo%3Dd%26biw%3D1366%26bih%3D665%26tbm%3Disch%26tbnid%3D9CJf6lVBnNRjXM:%26imgrefurl%3Dhttp:\/\/unitproj.library.ucla.edu\/biomed\/his\/painexhibit\/amputee.htm%26docid%3DiIQ0yujNhYjQCM%26imgurl%3Dhttp:\/\/unitproj.library.ucla.edu\/biomed\/his\/painexhibit\/images\/amputee.jpg%26w%3D537%26h%3D767%26ei%3DOZCkUK2BKOqe2QWxuIHQBQ%26zoom%3D1%26iact%3Dhc%26vpx%3D339%26vpy%3D152%26dur%3D2052%26hovh%3D268%26hovw%3D188%26tx%3D184%26ty%3D340%26sig%3D103011197660209969067%26page%3D1%26tbnh%3D141%26tbnw%3D98%26start%3D0%26ndsp%3D26%26ved%3D1t:429,r:3,s:0,i:93&amp;sa=D&amp;ust=1601247296406000&amp;usg=AOvVaw2rVdBXANth4TnRpar31XAX\">amputee.jpg<\/a><\/span><\/p>\n<p class=\"c8\"><span class=\"c15\">537 \u00d7 767 &#8211; A\u00a0<\/span><span class=\"c10\">Civil War amputee<\/span><span class=\"c0\">\u00a0(From: Otis, George<\/span><\/p>\n<p class=\"c11\">\n<p class=\"c11\">\n<p class=\"c11\">\n<p class=\"c11\">\n<h2 id=\"h.27jamwvu40ko\" class=\"c59\"><span class=\"c12 c10\">Experiments, Outcomes and Events<\/span><\/h2>\n<p class=\"c8\"><span class=\"c0\">The easiest way to think of probability is in terms of experiments and their potential outcomes<\/span><\/p>\n<p class=\"c14\"><span class=\"c0\">&#8230;&#8230;&#8230;. definitions from set theory to express events in terms of outcomes. Here is a refresher of some terminology, and some new terms that will be important later:<\/span><\/p>\n<p class=\"c14\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710aa267c8d.png\" alt=\" \\cup \" \/><span class=\"c0\">\u00a0represents the Union of two events<\/span><\/p>\n<p class=\"c14\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710aa33ba6c.png\" alt=\"\" \/><\/p>\n<p class=\"c11\">\n<p class=\"c11\">\n<p class=\"c14\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710aa3ab02b.png\" alt=\"\" \/><\/p>\n<p class=\"c11\">\n<p class=\"c11\">\n<p class=\"c14\"><span class=\"c10\">.<\/span><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710a9ce72ee.png\" alt=\"\" \/><\/p>\n<p class=\"c11\">\n<p class=\"c11\">\n<p class=\"c11\">\n<p class=\"c11\">\n<p class=\"c11\">\n<p class=\"c11\">\n<p class=\"c14\"><span class=\"c9\">Additional math war components&#8230;&#8230;<\/span><\/p>\n<p class=\"c11\">\n<p class=\"c14\"><span class=\"c1\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cyberlearning-world.com\/nhhs\/html\/union.htm&amp;sa=D&amp;ust=1601247296409000&amp;usg=AOvVaw3nIt2n8-41Kbw3TLpKcFwq\">LINCOLN\u00a0<\/a><\/span><span class=\"c1 c26\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cyberlearning-world.com\/nhhs\/html\/union.htm&amp;sa=D&amp;ust=1601247296409000&amp;usg=AOvVaw3nIt2n8-41Kbw3TLpKcFwq\">SAVED THE UNION<\/a><\/span><\/p>\n<p class=\"c14\"><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cyberlearning-world.com\/nhhs\/html\/&amp;sa=D&amp;ust=1601247296409000&amp;usg=AOvVaw11dUDtyOQEHTQ8FKy-Xwq2\">www.cyberlearning-world.com\/nhhs\/html\/<\/a><\/span><span class=\"c10\">union<\/span><span class=\"c0\">.htm<\/span><\/p>\n<p class=\"c14\"><span class=\"c15\">Lincoln&#8217;s concern was to\u00a0<\/span><span class=\"c6\">save the Union<\/span><span class=\"c0\">,<\/span><\/p>\n<p class=\"c11\">\n<p class=\"c11\">\n<h3 id=\"h.ylgvoc9xgbf9\" class=\"c35\"><span class=\"c13\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cyberlearning-world.com\/nhhs\/html\/union.htm&amp;sa=D&amp;ust=1601247296410000&amp;usg=AOvVaw0Ww4dJbW-sMKnp7Y8jHYtV\">LINCOLN\u00a0<\/a><\/span><span class=\"c3 c24\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cyberlearning-world.com\/nhhs\/html\/union.htm&amp;sa=D&amp;ust=1601247296410000&amp;usg=AOvVaw0Ww4dJbW-sMKnp7Y8jHYtV\">SAVED THE UNION<\/a><\/span><\/h3>\n<h3 id=\"h.ylgvoc9xgbf9-1\" class=\"c35\"><span class=\"c13\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cyberlearning-world.com\/nhhs\/html\/union.htm&amp;sa=D&amp;ust=1601247296411000&amp;usg=AOvVaw0gEDdhIJEHcb7Vp5WqKuVI\">LINCOLN &#8212;&gt; LIN + COL + N \u00a0&#8211;&gt;\u00a0<\/a><\/span><span class=\"c3 c24\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cyberlearning-world.com\/nhhs\/html\/union.htm&amp;sa=D&amp;ust=1601247296411000&amp;usg=AOvVaw0gEDdhIJEHcb7Vp5WqKuVI\">SAVED THE UNION<\/a><\/span><\/h3>\n<h3 id=\"h.ylgvoc9xgbf9-2\" class=\"c35\"><span class=\"c13\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cyberlearning-world.com\/nhhs\/html\/union.htm&amp;sa=D&amp;ust=1601247296412000&amp;usg=AOvVaw3GO3mjYYm1JXDiuTB6V4ql\">LINE (horizontal row) + COLUMN \u00a0N<\/p>\n<p>&#8212;&gt; \u00a0 saved\u00a0<\/a><\/span><span class=\"c3\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cyberlearning-world.com\/nhhs\/html\/union.htm&amp;sa=D&amp;ust=1601247296412000&amp;usg=AOvVaw3GO3mjYYm1JXDiuTB6V4ql\">\u00a0THE UNION<\/a><\/span><\/h3>\n<p class=\"c31 c25\">\n<p class=\"c31 c25\">\n<p class=\"c31 c25\">\n<p class=\"c31 c25\">\n<p class=\"c31 c25\">\n<p class=\"c25 c31\">\n<p class=\"c31\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710aa475ff6.png\" alt=\"\" \/><\/p>\n<p class=\"c4\"><span class=\"c0\">Thus we see 2 applications of \u00a0the THEORY of LINCOLN mathematical-physics expressions.<\/span><\/p>\n<p class=\"c4\"><span class=\"c0\">a) LINE \u00a0&amp; Column N \u00a0suggest an \u00a0N X N square matrix ..or matrices<\/span><\/p>\n<p class=\"c4\"><span class=\"c0\">100 years later we had Vice-president NIXON (year 1959) \u00a0and then President NixoN (year 1969)<\/span><\/p>\n<p class=\"c4\"><span class=\"c0\">Math President for N X N square matrices \u00a0was NIXON.<\/span><\/p>\n<p class=\"c2\">\n<p class=\"c4\"><span class=\"c0\">The math war took place in<br \/>\nVS = Vector Space region known as<br \/>\nVS = Vietnam South, Asia.<\/span><\/p>\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c4\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710aa55da36.png\" alt=\"\" \/><\/p>\n<p class=\"c2\">\n<p class=\"c4\"><span class=\"c0\">In addition, we<br \/>\nhave the geography shape of Vietnam \u00a0\u2026.<br \/>\nshapes like a \u00a0BIG letter S \u00a0\u2026.<\/span><\/p>\n<p class=\"c2\">\n<p class=\"c4\"><span class=\"c0\">In math \u2026.<br \/>\nCalcutta India \u00a0\u2026.<br \/>\nCalc<\/span><\/p>\n<p class=\"c4\"><span class=\"c0\">Calculus \u00a0\u2026<br \/>\nwe \u00a0the have \u00a0the math<br \/>\nintegration symbol represented by<\/span><\/p>\n<p class=\"c4\"><span class=\"c0\">Vietnam land shape<\/span><\/p>\n<p class=\"c2\">\n<p class=\"c4\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710aa5ec811.png\" alt=\"\" \/><\/p>\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c4\"><span class=\"c0\">integration symbol represented by<\/span><\/p>\n<p class=\"c4\"><span class=\"c0\">Vietnam land shape and<\/span><\/p>\n<p class=\"c2\">\n<p class=\"c4\"><span class=\"c0\">Vietnam<br \/>\nVie<\/span><\/p>\n<p class=\"c4\"><span class=\"c0\">View of female calculus \u00a0curves<br \/>\n<\/span><\/p>\n<p class=\"c4\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710aa6eb576.png\" alt=\"\" \/><\/p>\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c4\"><span class=\"c15\">The geography \u00a0region is known as the ORIENT &#8211;&gt; implies ORIENTATION or\u00a0<\/span><span class=\"c29 c60\">direction\u00a0<\/span><span class=\"c0\">&#8211;&gt; implies vector<\/span><\/p>\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c4\"><span class=\"c0\">Analysis of mathematical-physics space reveals the existence of RICE FIELDS on the geography surface of EARTH<br \/>\nin the vector space(VS) \u00a0region of \u00a0VS =Vietnam South.<\/span><\/p>\n<p class=\"c2\">\n<p class=\"c4\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710aa858dfe.png\" alt=\"\" \/><\/p>\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c4\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710aa99fb6a.png\" alt=\"\" \/><\/p>\n<p class=\"c2\">\n<p class=\"c4\"><span class=\"c15\">Einstein&#8217;s FIELD theory thus involves<br \/>\n<\/span><span class=\"c10 c29\">RICE FIELDS<\/span><span class=\"c15\">\u00a0 (data fields)<br \/>\n&#8230;&#8230;specifically the the well-known math structure&#8230;..<\/p>\n<p><\/span><span class=\"c10\">mat<\/span><span class=\"c29 c58\">RICES \u00a0<\/span><span class=\"c0\">and their field properties in linear algebra and their field properties in REAL LIFE&#8230;&#8230; that involved the Pentagon.<\/span><\/p>\n<p class=\"c2\">\n<p class=\"c4\"><span class=\"c0\">Thus we see Nature&#8217;s \u00a0WAR \u00a0protecting the \u00a0mathematical-physics architecture of Sartre existentialism.<\/span><\/p>\n<p class=\"c4\"><span class=\"c0\">By understanding the \u00a0NIXON structure \u00a0message; we can reconsider<\/span><\/p>\n<p class=\"c4\"><span class=\"c0\">and understand the \u00a0LIN COL N \u00a0 structure message.<\/span><\/p>\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c4\"><span class=\"c0\">Thus we see \u00a0a 100 year \u00a0math expression \u00a0&#8230;VIA 2 major wars on the surface of EARTH \u00a0&#8230;.. math structural problems we ought try to understand &#8230;since it involves our existence and our lives.<\/span><\/p>\n<p class=\"c2\">\n<p class=\"c4\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710aaa71179.jpg\" alt=\"\" \/><\/p>\n<p class=\"c4\"><span class=\"c0\">\u00a0<\/span><\/p>\n<p class=\"c20\"><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.google.com\/imgres?hl%3Den%26tbo%3Dd%26biw%3D1366%26bih%3D665%26tbm%3Disch%26tbnid%3DvHHcEa5fIcLu_M:%26imgrefurl%3Dhttp:\/\/www.mathwarehouse.com\/algebra\/matrix\/square-matrix.php%26docid%3Dfp_QT14THo_vTM%26imgurl%3Dhttp:\/\/www.mathwarehouse.com\/algebra\/matrix\/images\/square-matrix\/square-matrix.gif%26w%3D307%26h%3D234%26ei%3DToukUPnJH8OYqAHuxYDQBA%26zoom%3D1%26iact%3Dhc%26vpx%3D4%26vpy%3D211%26dur%3D3514%26hovh%3D187%26hovw%3D245%26tx%3D228%26ty%3D264%26sig%3D103011197660209969067%26page%3D1%26tbnh%3D136%26tbnw%3D178%26start%3D0%26ndsp%3D20%26ved%3D1t:429,r:0,s:0,i:72&amp;sa=D&amp;ust=1601247296418000&amp;usg=AOvVaw1Jqh5Wr3Nr1RBnqGNraJzv\">square\u2011matrix<\/a><\/span><\/p>\n<p class=\"c20\"><span class=\"c15\">A\u00a0<\/span><span class=\"c10\">square matrix<\/span><span class=\"c0\">\u00a0has the same number of rows as columns .<\/span><\/p>\n<p class=\"c20\"><span class=\"c0\">\u00a0<\/span><\/p>\n<p class=\"c8\"><span class=\"c0\">Thus we need to \u00a0reconsider the CIVIL WAR \u00a0 and \u00a0 \u00a0LINCOLN and the math MULTIPLY \u00a0symbol of the Confederate \u00a0linear algebra BIO-MATH \u00a0soldiers.<\/span><\/p>\n<p class=\"c8\"><span class=\"c0\">\u00a0<\/span><\/p>\n<p class=\"c20\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710aaaf0142.jpg\" alt=\"\" \/><\/p>\n<p class=\"c20 c25\">\n<p class=\"c4\"><span class=\"c0\">\u00a0<\/span><\/p>\n<p class=\"c20\"><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.google.com\/imgres?hl%3Den%26tbo%3Dd%26biw%3D1366%26bih%3D665%26tbm%3Disch%26tbnid%3DKbeW5UAeUGmuJM:%26imgrefurl%3Dhttp:\/\/9thgeorgiainfantry.org\/or.html%26docid%3Du1bodEZoUc5FhM%26imgurl%3Dhttp:\/\/9thgeorgiainfantry.org\/9thinfflag.jpg%26w%3D600%26h%3D369%26ei%3DQI2kUMjQHYWErQGc7YGQCQ%26zoom%3D1%26iact%3Dhc%26vpx%3D531%26vpy%3D25%26dur%3D7062%26hovh%3D176%26hovw%3D286%26tx%3D268%26ty%3D251%26sig%3D103011197660209969067%26page%3D1%26tbnh%3D138%26tbnw%3D213%26start%3D0%26ndsp%3D23%26ved%3D1t:429,r:3,s:0,i:79&amp;sa=D&amp;ust=1601247296420000&amp;usg=AOvVaw0fjWdf__JNjc2pWyHfo9QD\">9thinfflag.jpg<\/a><\/span><\/p>\n<p class=\"c20\"><span class=\"c0\">9thgeorgiainfantry.orgShare<\/span><\/p>\n<p class=\"c20\"><span class=\"c0\">600 \u00d7 369 &#8211;<\/span><\/p>\n<p class=\"c20\"><span class=\"c15\">The 9th&#8217;s Regimental\u00a0<\/span><span class=\"c10\">Battle flag<\/span><span class=\"c15\">\u00a0has the\u00a0<\/span><span class=\"c10\">Gettysburg Battle<\/span><span class=\"c15\">\u00a0Honor on the\u00a0<\/span><span class=\"c9\">&#8230;<\/span><\/p>\n<p class=\"c20\"><span class=\"c0\">\u00a0<\/span><\/p>\n<p class=\"c20\"><span class=\"c0\">\u00a0<\/span><\/p>\n<p class=\"c20\"><span class=\"c0\">\u00a0<\/span><\/p>\n<p class=\"c20\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710aab6ecf4.jpg\" alt=\"\" \/><\/p>\n<p class=\"c4\"><span class=\"c0\">\u00a0<\/span><\/p>\n<p class=\"c20\"><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.google.com\/imgres?hl%3Den%26tbo%3Dd%26biw%3D1366%26bih%3D665%26tbm%3Disch%26tbnid%3DqFj28RIK90G64M:%26imgrefurl%3Dhttp:\/\/www.mathsisfun.com\/algebra\/matrix-multiplying.html%26docid%3DWUtotq8rktcNAM%26imgurl%3Dhttp:\/\/www.mathsisfun.com\/algebra\/images\/matrix-multiply-order.gif%26w%3D383%26h%3D157%26ei%3DToukUPnJH8OYqAHuxYDQBA%26zoom%3D1%26iact%3Dhc%26vpx%3D924%26vpy%3D241%26dur%3D4120%26hovh%3D125%26hovw%3D306%26tx%3D232%26ty%3D183%26sig%3D103011197660209969067%26page%3D1%26tbnh%3D111%26tbnw%3D272%26start%3D0%26ndsp%3D20%26ved%3D1t:429,r:5,s:0,i:87&amp;sa=D&amp;ust=1601247296422000&amp;usg=AOvVaw2Zx8_hFFxcizpPwYx6iJJy\">matrix\u2011multiply\u2011order.gif<\/a><\/span><\/p>\n<p class=\"c20\"><span class=\"c10\">Matrix<\/span><span class=\"c0\">\u00a0Multiply Order &#8211;&gt; Nature&#8217;s military orders VIA bio-math humanoids &#8230;&#8230; carrier vehicles for symbolic machines.<\/span><\/p>\n<p class=\"c20\"><span class=\"c0\">\u00a0<\/span><\/p>\n<p class=\"c4\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710aadd10c4.png\" alt=\"\" \/><\/p>\n<p class=\"c4\"><span class=\"c0\">\u00a0<\/span><\/p>\n<p class=\"c20\"><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.google.com\/imgres?hl%3Den%26tbo%3Dd%26biw%3D1366%26bih%3D665%26tbm%3Disch%26tbnid%3Dg8lddA3KukdoMM:%26imgrefurl%3Dhttp:\/\/capitolbadgers.wordpress.com\/2010\/07\/01\/gettysburg-what-happens-if-the-south-wins\/%26docid%3Dl6vSWd7gVSjPOM%26imgurl%3Dhttp:\/\/capitolbadgers.files.wordpress.com\/2010\/07\/gettysburg.jpg%26w%3D600%26h%3D320%26ei%3DV4ykUMylMs7RqQHHt4CQCw%26zoom%3D1%26iact%3Dhc%26vpx%3D607%26vpy%3D203%26dur%3D2681%26hovh%3D164%26hovw%3D308%26tx%3D243%26ty%3D194%26sig%3D103011197660209969067%26page%3D1%26tbnh%3D140%26tbnw%3D241%26start%3D0%26ndsp%3D20%26ved%3D1t:429,r:4,s:0,i:148&amp;sa=D&amp;ust=1601247296423000&amp;usg=AOvVaw0f7JHt2XCf0-vqjThMHbe0\">gettysburg.jpg<\/a><\/span><\/p>\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c4\"><span class=\"c0\">Math soldiers lie \u00a0in linear algebra \u00a0 formation \u00a0&#8212;&gt; Will the American Mathematical Association help ANSWER these questions<\/span><\/p>\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c2\">\n<p class=\"c4\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-content\/uploads\/sites\/4\/2020\/09\/img_5f710aae6c413.jpg\" alt=\"\" \/><\/p>\n<p class=\"c4\"><span class=\"c0\">\u00a0<\/span><\/p>\n<p class=\"c20\"><span class=\"c15 c30\"><a class=\"c5\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.google.com\/imgres?hl%3Den%26tbo%3Dd%26biw%3D1366%26bih%3D665%26tbm%3Disch%26tbnid%3DngXBLPHZfXPSgM:%26imgrefurl%3Dhttp:\/\/history.howstuffworks.com\/historical-events\/battle-of-gettysburg7.htm%26docid%3DV5C54iGvhSZL-M%26imgurl%3Dhttp:\/\/static.ddmcdn.com\/gif\/battle-of-gettysburg-1.jpg%26w%3D400%26h%3D267%26ei%3DV4ykUMylMs7RqQHHt4CQCw%26zoom%3D1%26iact%3Dhc%26vpx%3D883%26vpy%3D242%26dur%3D11261%26hovh%3D183%26hovw%3D275%26tx%3D254%26ty%3D257%26sig%3D103011197660209969067%26page%3D2%26tbnh%3D155%26tbnw%3D216%26start%3D20%26ndsp%3D29%26ved%3D1t:429,r:40,s:0,i:259&amp;sa=D&amp;ust=1601247296424000&amp;usg=AOvVaw1Rb4ZtBVB5Aq5WfOb70gdh\">battle\u2011of\u2011gettysburg\u20111.jpg<\/a><\/span><\/p>\n<p class=\"c20\"><span class=\"c15\">Results of the\u00a0<\/span><span class=\"c10\">Battle<\/span><span class=\"c15\">\u00a0of\u00a0<\/span><span class=\"c10\">Gettysburg<\/span><span class=\"c0\">. Of the 88,000 Northern troops<\/span><\/p>\n<p class=\"c2\">\n<p class=\"c25 c42\">\n","protected":false},"excerpt":{"rendered":"<p>RD-blog-number-2429 by Herb Zinser The Algebra CIVIL WAR of Abe Lincoln Herb Zinser&#8217;s Science War report Various examples of EVENTS [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-990","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-json\/wp\/v2\/posts\/990","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-json\/wp\/v2\/comments?post=990"}],"version-history":[{"count":1,"href":"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-json\/wp\/v2\/posts\/990\/revisions"}],"predecessor-version":[{"id":1014,"href":"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-json\/wp\/v2\/posts\/990\/revisions\/1014"}],"wp:attachment":[{"href":"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-json\/wp\/v2\/media?parent=990"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-json\/wp\/v2\/categories?post=990"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/region10.herbzinser64.com\/dir\/science03\/wp-json\/wp\/v2\/tags?post=990"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}