{"id":296,"date":"2020-08-23T23:45:21","date_gmt":"2020-08-23T23:45:21","guid":{"rendered":"http:\/\/region12.herbzinser07.com\/dir\/science07\/?p=296"},"modified":"2020-08-23T23:45:21","modified_gmt":"2020-08-23T23:45:21","slug":"the-algebra-civil-war-with-abe-lincoln","status":"publish","type":"post","link":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/2020\/08\/23\/the-algebra-civil-war-with-abe-lincoln\/","title":{"rendered":"The Algebra Civil WAR with ABE LINCOLN"},"content":{"rendered":"<p class=\"c8\"><span class=\"c5 c1\">RD-blog-number-2429 \u2026.. Parts 1 and 2 \u2026. by Herb Zinser<\/span><\/p>\n<h2 class=\"c8\"><span class=\"c47 c29 c41 c60\" style=\"color: #0000ff;\">The Algebra Civil WAR<br \/>\nwith ABE LINCOLN<\/span><\/h2>\n<p class=\"c8\"><span class=\"c1 c5\">The American Civil WAR was composed of many components.<\/span><\/p>\n<p class=\"c8\"><span class=\"c5 c1\">It was an expression by NATURE of various social engineering problems in NORTH America; the war \u00a0was an ROC =Region of Convergence<\/span><\/p>\n<p class=\"c8\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff914f10d.png\" alt=\"\" \/><\/p>\n<p class=\"c8\"><span class=\"c5 c1\">&#8230;.. a concept that describes Nature&#8217;s signal processing systems and its feedback ERROR signals. \u00a0The concept of ROC \u00a0is described in many \u00a0engineering textbooks with titles like: Signals and Systems \u00a0<\/span><\/p>\n<p class=\"c8\"><span class=\"c5 c1\">&#8230;..Feedback Control Systems&#8230;etc.<\/span><\/p>\n<table class=\"c54\">\n<tbody>\n<tr class=\"c72\">\n<td class=\"c56\" colspan=\"2\" rowspan=\"1\">\n<p class=\"c61\"><span class=\"c36\">Abraham Lincoln<\/span><\/p>\n<\/td>\n<\/tr>\n<tr class=\"c59\">\n<td class=\"c56\" colspan=\"2\" rowspan=\"1\">\n<p class=\"c52\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff917209b.jpg\" alt=\"Iconic black and white photograph of Lincoln showing his head and shoulders.\" \/><\/p>\n<\/td>\n<\/tr>\n<tr class=\"c72\">\n<td class=\"c56 c75\" colspan=\"2\" rowspan=\"1\">\n<p class=\"c52\"><span class=\"c37 c24\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/List_of_Presidents_of_the_United_States&amp;sa=D&amp;ust=1598229716907000&amp;usg=AOvVaw28E82rwfTiJ0PXIsV2oi-p\">16th President of the United States<\/a><\/span><\/p>\n<\/td>\n<\/tr>\n<tr class=\"c63\">\n<td class=\"c56\" colspan=\"2\" rowspan=\"1\">\n<p class=\"c52\"><span class=\"c5 c24\">In office<\/span><\/p>\n<p class=\"c52\"><span class=\"c5 c1\">March 4, 1861 \u2013 April 15, 1865<\/span><\/p>\n<\/td>\n<\/tr>\n<tr class=\"c63\">\n<td class=\"c65\" colspan=\"1\" rowspan=\"1\">\n<p class=\"c52\"><span class=\"c24\">Vice President<\/span><\/p>\n<\/td>\n<td class=\"c77\" colspan=\"1\" rowspan=\"1\">\n<p class=\"c8\"><span class=\"c37 c1\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Hannibal_Hamlin&amp;sa=D&amp;ust=1598229716909000&amp;usg=AOvVaw34mSyr2Pn-iBqVO440AedI\">Hannibal Hamlin<\/a><\/span><\/p>\n<p class=\"c76\"><span class=\"c37 c1\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Andrew_Johnson&amp;sa=D&amp;ust=1598229716909000&amp;usg=AOvVaw0pCEvmw0lf7EcyyNuIIYM1\">Andrew Johnson<\/a><\/span><\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3 id=\"h.of5bekavy1n3\" class=\"c26 c30\"><\/h3>\n<h3 id=\"h.kkyaol8063jo\" class=\"c26 c30\"><\/h3>\n<h3 id=\"h.2rob8rpiia2s\" class=\"c26 c30\"><\/h3>\n<h3 id=\"h.xfrev9oitoey\" class=\"c26 c30\"><\/h3>\n<h3 id=\"h.3wbztrspwqog\" class=\"c26\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff919e6cc.png\" alt=\"\" \/><\/h3>\n<h3 id=\"h.x1fgctavbivh\" class=\"c26 c30\"><\/h3>\n<h3 id=\"h.tmglw8lbyc1v\" class=\"c26 c30\"><\/h3>\n<h3 id=\"h.jn25jn6agrw2\" class=\"c26 c30\"><\/h3>\n<h3 id=\"h.hnw33xlb4kf3\" class=\"c26\"><span class=\"c13\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.nps.gov\/civilwar\/&amp;sa=D&amp;ust=1598229716911000&amp;usg=AOvVaw0XFEu9wzqDXM0oVW9EcawT\">The\u00a0<\/a><\/span><span class=\"c6\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.nps.gov\/civilwar\/&amp;sa=D&amp;ust=1598229716911000&amp;usg=AOvVaw0XFEu9wzqDXM0oVW9EcawT\">Civil War<\/a><\/span><span class=\"c13\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.nps.gov\/civilwar\/&amp;sa=D&amp;ust=1598229716912000&amp;usg=AOvVaw3X4PZfzZaSfRsSruYAeu5B\">\u00a0&#8211;<\/a><\/span><\/h3>\n<p class=\"c8\"><span class=\"c57\">www.nps.gov\/<\/span><span class=\"c20\">civilwar<\/span><span class=\"c5 c57\">\/<\/span><\/p>\n<p class=\"c8\"><span class=\"c57\">From 1861 to 1865, the American union was broken as brother fought brother in a\u00a0<\/span><span class=\"c57 c17\">Civil War<\/span><span class=\"c57\">\u00a0that remains a defining moment in our nation&#8217;s history. Its causes\u00a0<\/span><span class=\"c5 c20\">&#8230;<\/span><\/p>\n<p class=\"c8\"><span class=\"c37 c1 c14\"><a class=\"c12\" 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=1598229716913000&amp;usg=AOvVaw1Hz3iMUkqGysXxqw3oBoxn\">The\u00a0<\/a><\/span><span class=\"c13 c14\"><a class=\"c12\" 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=1598229716913000&amp;usg=AOvVaw1Hz3iMUkqGysXxqw3oBoxn\">War to\u00a0<\/a><\/span><span class=\"c6 c14\"><a class=\"c12\" 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=1598229716913000&amp;usg=AOvVaw1Hz3iMUkqGysXxqw3oBoxn\">Save the Union<\/a><\/span><\/p>\n<p class=\"c8\"><span class=\"c5 c1\">wps.ablongman.com\/long_carnes_an_11\/0,7137,251471-,00.html<\/span><\/p>\n<p class=\"c8\"><span class=\"c24\">&#8230;<\/span><span class=\"c1\">\u00a0&#8212;Chapter 15: The War to\u00a0<\/span><span class=\"c1 c17\">Save the Union<\/span><span class=\"c5 c1\">, &#8212;Chapter 16: Reconstruction and the South, &#8212;Chapter 17: In the Wake of War,<\/span><\/p>\n<p class=\"c8\"><span class=\"c13 c14\"><a class=\"c12\" 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=1598229716914000&amp;usg=AOvVaw0zI0tYbZ5WYDsrL4q4gYm8\">\u00a0<\/a><\/span><span class=\"c6 c14\"><a class=\"c12\" 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=1598229716914000&amp;usg=AOvVaw0zI0tYbZ5WYDsrL4q4gYm8\">Save the Union<\/a><\/span><\/p>\n<p class=\"c8\"><span class=\"c13 c14\"><a class=\"c12\" 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=1598229716915000&amp;usg=AOvVaw3jm7Nt28TjxbOM4bjMjIbB\">\u00a0<\/a><\/span><span class=\"c6 c14\"><a class=\"c12\" 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=1598229716915000&amp;usg=AOvVaw3jm7Nt28TjxbOM4bjMjIbB\">Save the Union<\/a><\/span><\/p>\n<p class=\"c8\"><span class=\"c13 c14\"><a class=\"c12\" 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=1598229716915000&amp;usg=AOvVaw3jm7Nt28TjxbOM4bjMjIbB\">\u00a0<\/a><\/span><span class=\"c6 c14\"><a class=\"c12\" 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=1598229716916000&amp;usg=AOvVaw1vJ-DhRJZwY3oPwnHDsW_M\">Save the Union<\/a><\/span><span class=\"c6 c44 c14\">\u00a0\u2192 nion code\u2192 NiXoN<\/span><\/p>\n<p class=\"c8\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff91e8a7d.png\" alt=\"\" \/><\/p>\n<h3 id=\"h.zav0w8rp185u\" class=\"c26\"><span class=\"c31 c17\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529&amp;sa=D&amp;ust=1598229716917000&amp;usg=AOvVaw3Wl8SXhmcHVolDeqq2WnA-\">Union<\/a><\/span><span class=\"c31\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529&amp;sa=D&amp;ust=1598229716917000&amp;usg=AOvVaw3Wl8SXhmcHVolDeqq2WnA-\">\u00a0(<\/a><\/span><span class=\"c31 c17\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529&amp;sa=D&amp;ust=1598229716917000&amp;usg=AOvVaw3Wl8SXhmcHVolDeqq2WnA-\">set<\/a><\/span><span class=\"c31\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529&amp;sa=D&amp;ust=1598229716917000&amp;usg=AOvVaw3Wl8SXhmcHVolDeqq2WnA-\">\u00a0theory) &#8211; Wikipedia, the free encyclopedia<\/a><\/span><\/h3>\n<p class=\"c8\"><span class=\"c1\">en.wikipedia.org\/wiki\/<\/span><span class=\"c24\">Union<\/span><span class=\"c1\">_(<\/span><span class=\"c24\">set<\/span><span class=\"c5 c1\">_theory)<\/span><\/p>\n<p class=\"c8\"><span class=\"c1\">In\u00a0<\/span><span class=\"c1 c17\">set<\/span><span class=\"c1\">\u00a0theory, the\u00a0<\/span><span class=\"c1 c17\">union<\/span><span class=\"c1\">\u00a0(denoted by \u222a) of a collection of\u00a0<\/span><span class=\"c1 c17\">sets<\/span><span class=\"c1\">\u00a0is the\u00a0<\/span><span class=\"c1 c17\">set<\/span><span class=\"c1\">\u00a0of all distinct elements in the collection. It is one of the fundamental operations through\u00a0<\/span><span class=\"c5 c24\">&#8230;<\/span><\/p>\n<p class=\"c8\"><span class=\"c37 c1\"><a class=\"c12\" 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=1598229716918000&amp;usg=AOvVaw1k8xAJO-39sCEmAxjZfJh6\">Union of two sets<\/a><\/span><span class=\"c1\">\u00a0&#8211;\u00a0<\/span><span class=\"c37 c1\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529%23Algebraic_properties&amp;sa=D&amp;ust=1598229716919000&amp;usg=AOvVaw1DM-fVRV0rtA31S-5f7izQ\">Algebraic properties<\/a><\/span><span class=\"c1\">\u00a0&#8211;\u00a0<\/span><span class=\"c37 c1\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529%23Finite_unions&amp;sa=D&amp;ust=1598229716919000&amp;usg=AOvVaw0EbpbergLMhFqsQVGIIWsB\">Finite unions<\/a><\/span><span class=\"c1\">\u00a0&#8211;\u00a0<\/span><span class=\"c37 c1\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529%23Arbitrary_unions&amp;sa=D&amp;ust=1598229716919000&amp;usg=AOvVaw0CiToAvYu7S1HQEpbwrfy_\">Arbitrary unions<\/a><\/span><\/p>\n<h3 id=\"h.5jh1sm2qgqv5\" class=\"c23\"><span class=\"c6\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.onlinemathlearning.com\/union-of-sets.html&amp;sa=D&amp;ust=1598229716920000&amp;usg=AOvVaw3Y5QpS5JWxXzyoZIs0cLb6\">Union Of Sets<\/a><\/span><span class=\"c31\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.onlinemathlearning.com\/union-of-sets.html&amp;sa=D&amp;ust=1598229716920000&amp;usg=AOvVaw3Y5QpS5JWxXzyoZIs0cLb6\">\u00a0(with worked solutions)<\/a><\/span><\/h3>\n<h3 id=\"h.cymr6pvry5we\" class=\"c23\"><span class=\"c6\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.onlinemathlearning.com\/union-of-sets.html&amp;sa=D&amp;ust=1598229716920000&amp;usg=AOvVaw3Y5QpS5JWxXzyoZIs0cLb6\">Union Of Sets<\/a><\/span><span class=\"c31\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.onlinemathlearning.com\/union-of-sets.html&amp;sa=D&amp;ust=1598229716921000&amp;usg=AOvVaw0i9dE3fQcM_vcLcGjEdLhK\">\u00a0(with worked solutions)<\/a><\/span><\/h3>\n<h3 id=\"h.q6tky42a95fi\" class=\"c23\"><span class=\"c6\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.onlinemathlearning.com\/union-of-sets.html&amp;sa=D&amp;ust=1598229716921000&amp;usg=AOvVaw0i9dE3fQcM_vcLcGjEdLhK\">Union Of Sets<\/a><\/span><span class=\"c31\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.onlinemathlearning.com\/union-of-sets.html&amp;sa=D&amp;ust=1598229716921000&amp;usg=AOvVaw0i9dE3fQcM_vcLcGjEdLhK\">\u00a0(with worked solutions \u00a0&#8230;such as the \u00a0mathematics CIVIL WAR)<\/a><\/span><\/h3>\n<p class=\"c8\"><span class=\"c1\">www.onlinemathlearning.com\/<\/span><span class=\"c24\">union-of-sets<\/span><span class=\"c5 c1\">.html<\/span><\/p>\n<p class=\"c3\"><span class=\"c1 c17\">Union of Sets<\/span><span class=\"c1\">.\u00a0<\/span><span class=\"c24\">&#8230;<\/span><span class=\"c1\">\u00a0Set Theory:\u00a0<\/span><span class=\"c1 c17\">Union Of Sets<\/span><span class=\"c1\">. 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=\"c5 c24\">&#8230;<\/span><\/p>\n<p class=\"c8\"><span class=\"c34 c17\"><a class=\"c12\" 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=1598229716922000&amp;usg=AOvVaw1D60FonkHCX4HmnSdgd1Wb\">Algebra<\/a><\/span><span class=\"c34\"><a class=\"c12\" 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=1598229716923000&amp;usg=AOvVaw1K_SYa2rSP4l9KqII9qHMf\">\u00a0I:\u00a0<\/a><\/span><span class=\"c34 c17\"><a class=\"c12\" 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=1598229716923000&amp;usg=AOvVaw1K_SYa2rSP4l9KqII9qHMf\">Set Theory<\/a><\/span><\/p>\n<p class=\"c8\"><span class=\"c1\">www.cliffsnotes.com\/&#8230;\/<\/span><span class=\"c24\">Set<\/span><span class=\"c1\">&#8211;<\/span><span class=\"c24\">Theory<\/span><span class=\"c5 c1\">.topicArticleId-254915,articleId-2&#8230;<\/span><\/p>\n<p class=\"c3\"><span class=\"c1\">The\u00a0<\/span><span class=\"c1 c17\">union<\/span><span class=\"c1\">\u00a0of two\u00a0<\/span><span class=\"c1 c17\">sets<\/span><span class=\"c1\">\u00a0is a\u00a0<\/span><span class=\"c1 c17\">set<\/span><span class=\"c1\">\u00a0containing all the numbers in those\u00a0<\/span><span class=\"c1 c17\">sets<\/span><span class=\"c1\">, but any duplicates are only written once. The symbol for finding the\u00a0<\/span><span class=\"c1 c17\">union<\/span><span class=\"c1\">\u00a0of two\u00a0<\/span><span class=\"c1 c17\">sets<\/span><span class=\"c1\">\u00a0is\u00a0<\/span><span class=\"c5 c48\">\u222a.<\/span><\/p>\n<p class=\"c8\"><span class=\"c34 c17\"><a class=\"c12\" 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=1598229716925000&amp;usg=AOvVaw2j2ivFR0gehNDf2pk_c0_-\">Algebra<\/a><\/span><span class=\"c34\"><a class=\"c12\" 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=1598229716925000&amp;usg=AOvVaw2j2ivFR0gehNDf2pk_c0_-\">\u00a0I:\u00a0<\/a><\/span><span class=\"c34 c17\"><a class=\"c12\" 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=1598229716925000&amp;usg=AOvVaw2j2ivFR0gehNDf2pk_c0_-\">Set Theory<\/a><\/span><\/p>\n<p class=\"c8\"><span class=\"c34 c17\"><a class=\"c12\" 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=1598229716926000&amp;usg=AOvVaw0I_vAiBvbdutlE-Axb5rv0\">Algebra<\/a><\/span><span class=\"c34\"><a class=\"c12\" 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=1598229716926000&amp;usg=AOvVaw0I_vAiBvbdutlE-Axb5rv0\">\u00a0I:\u00a0<\/a><\/span><span class=\"c34 c17\"><a class=\"c12\" 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=1598229716926000&amp;usg=AOvVaw0I_vAiBvbdutlE-Axb5rv0\">Set Theory<\/a><\/span><\/p>\n<p class=\"c8\"><span class=\"c34 c17\"><a class=\"c12\" 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=1598229716927000&amp;usg=AOvVaw1cqQi5A0WLxOmxT0r6n6aS\">Alge<\/a><\/span><span class=\"c34 c14 c17\"><a class=\"c12\" 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=1598229716927000&amp;usg=AOvVaw1cqQi5A0WLxOmxT0r6n6aS\">bra<\/a><\/span><span class=\"c34 c14\"><a class=\"c12\" 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=1598229716927000&amp;usg=AOvVaw1cqQi5A0WLxOmxT0r6n6aS\">\u00a0I:\u00a0<\/a><\/span><span class=\"c34 c14 c17\"><a class=\"c12\" 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=1598229716928000&amp;usg=AOvVaw18_JGaiM5pYF3yHMbwWeUf\">Set Theory<\/a><\/span><\/p>\n<p class=\"c3\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff924ef6c.png\" alt=\"\" \/><span class=\"c5 c1\"><\/p>\n<p><\/span><\/p>\n<p class=\"c3\"><span class=\"c5 c1\">Harvard University Press,<\/span><\/p>\n<h3 id=\"h.cct1a5338sg\" class=\"c26\"><span class=\"c13\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/library.thinkquest.org\/C0126820\/algebra.html&amp;sa=D&amp;ust=1598229716929000&amp;usg=AOvVaw2iRiKRnbJfdEc0PG2RUtQu\">laws of the\u00a0<\/a><\/span><span class=\"c6\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/library.thinkquest.org\/C0126820\/algebra.html&amp;sa=D&amp;ust=1598229716929000&amp;usg=AOvVaw2iRiKRnbJfdEc0PG2RUtQu\">algebra<\/a><\/span><span class=\"c13\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/library.thinkquest.org\/C0126820\/algebra.html&amp;sa=D&amp;ust=1598229716929000&amp;usg=AOvVaw2iRiKRnbJfdEc0PG2RUtQu\">\u00a0of\u00a0<\/a><\/span><span class=\"c6\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/library.thinkquest.org\/C0126820\/algebra.html&amp;sa=D&amp;ust=1598229716929000&amp;usg=AOvVaw2iRiKRnbJfdEc0PG2RUtQu\">sets<\/a><\/span><span class=\"c13\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/library.thinkquest.org\/C0126820\/algebra.html&amp;sa=D&amp;ust=1598229716930000&amp;usg=AOvVaw3A77rE8gLWqCK5yl7v7ImM\"><br \/>\n<\/a><\/span><span class=\"c34\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/library.thinkquest.org\/C0126820\/algebra.html&amp;sa=D&amp;ust=1598229716930000&amp;usg=AOvVaw3A77rE8gLWqCK5yl7v7ImM\">&#8211; Li<\/a><\/span><span class=\"c40 c50\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/library.thinkquest.org\/C0126820\/algebra.html&amp;sa=D&amp;ust=1598229716930000&amp;usg=AOvVaw3A77rE8gLWqCK5yl7v7ImM\">bra<\/a><\/span><span class=\"c34\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/library.thinkquest.org\/C0126820\/algebra.html&amp;sa=D&amp;ust=1598229716930000&amp;usg=AOvVaw3A77rE8gLWqCK5yl7v7ImM\">ry\u00a0<\/a><\/span><span class=\"c13\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/library.thinkquest.org\/C0126820\/algebra.html&amp;sa=D&amp;ust=1598229716931000&amp;usg=AOvVaw27_5gjM_Tcjd4G6QjnVBrm\">&#8211; ThinkQuest<\/a><\/span><\/h3>\n<p class=\"c8\"><span class=\"c1\">library.thinkquest.org\/C0126820\/<\/span><span class=\"c24\">algebra<\/span><span class=\"c5 c1\">.html<\/span><\/p>\n<p class=\"c3\"><span class=\"c1\">The\u00a0<\/span><span class=\"c1 c17\">union of sets<\/span><span class=\"c1\">\u00a0A and B is the\u00a0<\/span><span class=\"c1 c17\">set<\/span><span class=\"c1\">\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 &#8220;or\u201d permits\u00a0<\/span><span class=\"c5 c24\">&#8230;<\/span><\/p>\n<p class=\"c3\"><span class=\"c31\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.regentsprep.org\/Regents\/math\/ALGEBRA\/AP2\/LVenn.htm&amp;sa=D&amp;ust=1598229716932000&amp;usg=AOvVaw0EA2w8UMI5qlbqEUSPI1vj\">Working with\u00a0<\/a><\/span><span class=\"c17 c31\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.regentsprep.org\/Regents\/math\/ALGEBRA\/AP2\/LVenn.htm&amp;sa=D&amp;ust=1598229716932000&amp;usg=AOvVaw0EA2w8UMI5qlbqEUSPI1vj\">Sets<\/a><\/span><span class=\"c31\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.regentsprep.org\/Regents\/math\/ALGEBRA\/AP2\/LVenn.htm&amp;sa=D&amp;ust=1598229716933000&amp;usg=AOvVaw03xlkI1zHTM8mJb4GzzECn\">\u00a0and\u00a0<\/a><\/span><span class=\"c31 c17\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.regentsprep.org\/Regents\/math\/ALGEBRA\/AP2\/LVenn.htm&amp;sa=D&amp;ust=1598229716933000&amp;usg=AOvVaw03xlkI1zHTM8mJb4GzzECn\">Venn Diagrams<br \/>\n<\/a><\/span><span class=\"c1\">www.regentsprep.org\/Regents\/math\/ALGEBRA\/AP2\/L<\/span><span class=\"c24\">Venn<\/span><span class=\"c1\">.htm<br \/>\nWorking with\u00a0<\/span><span class=\"c1 c17\">Sets<\/span><span class=\"c1\">\u00a0and\u00a0<\/span><span class=\"c1 c17\">Venn Diagrams<\/span><span class=\"c1\">.\u00a0<\/span><span class=\"c24\">&#8230;<\/span><span class=\"c1\">\u00a0the remaining region in U, the universal\u00a0<\/span><span class=\"c1 c17\">set<\/span><span class=\"c1\">, is labeled , and is called the complement of the\u00a0<\/span><span class=\"c1 c17\">union of sets<\/span><span class=\"c5 c1\">\u00a0A and B.<\/span><\/p>\n<p class=\"c3\"><span class=\"c31 c17\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cs.uni.edu\/~campbell\/stat\/venn.html&amp;sa=D&amp;ust=1598229716934000&amp;usg=AOvVaw3KabnoZd3dgQyOTtjixEtn\">Venn Diagrams<br \/>\n<\/a><\/span><span class=\"c1\">www.cs.uni.edu\/~campbell\/stat\/<\/span><span class=\"c24\">venn<\/span><span class=\"c1\">.html<br \/>\nThe\u00a0<\/span><span class=\"c1 c17\">Venn diagram<\/span><span class=\"c1\">, is a convenient way to illustrate definitions within the algebra\u00a0<\/span><span class=\"c24\">&#8230;<\/span><span class=\"c1\">\u00a0If the\u00a0<\/span><span class=\"c1 c17\">union<\/span><span class=\"c1\">\u00a0of two mutually exclusive\u00a0<\/span><span class=\"c1 c17\">sets<\/span><span class=\"c1\">\u00a0is the universal\u00a0<\/span><span class=\"c1 c17\">set<\/span><span class=\"c1\">\u00a0they are called\u00a0<\/span><span class=\"c5 c24\">&#8230;<\/span><\/p>\n<h1 id=\"h.ol1crowum763\" class=\"c35\"><span class=\"c5 c47 c41\">Venn Diagrams<\/span><\/h1>\n<p class=\"c3\"><span class=\"c1\">The\u00a0<\/span><span class=\"c37 c1\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www-groups.dcs.st-and.ac.uk\/~history\/Mathematicians\/Venn.html&amp;sa=D&amp;ust=1598229716935000&amp;usg=AOvVaw1omiETqcYamhNGuS80UaUZ\">Venn\u00a0<\/a><\/span><span class=\"c5 c1\">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 rectange containing the universal set, with circles containing the elements of A and B.<\/span><\/p>\n<h3 id=\"h.5nut6lwknwoj\" class=\"c23\"><span class=\"c31\"><a class=\"c12\" 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=1598229716935000&amp;usg=AOvVaw00LBBLp1gRM4ny3xzDY1h8\">Images for\u00a0<\/a><\/span><span class=\"c31 c17\"><a class=\"c12\" 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=1598229716935000&amp;usg=AOvVaw00LBBLp1gRM4ny3xzDY1h8\">civil war wounded<\/a><\/span><\/h3>\n<p class=\"c3\"><span class=\"c5 c1\">\u00a0<\/span><\/p>\n<p class=\"c3\"><img decoding=\"async\" title=\"Venn diagram ... Shift+R improves the quality of this image. Shift+A improves the quality of all images on this page.\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff92895be.gif\" alt=\"\" \/><\/p>\n<h1 id=\"h.grdt2durun2y\" class=\"c35\"><span class=\"c47 c41 c14\">Venn<\/span><span class=\"c47 c41\">\u00a0Diagrams &#8211;&gt; the living Earth cell<br \/>\n<\/span><span class=\"c28\">Vien\u00a0<\/span><span class=\"c5 c47 c41\">&#8230;Earth geography surface<br \/>\nVein \u2026 human blood vessel OR a<br \/>\nvein of coal mineral in earth ground<\/span><\/h1>\n<p class=\"c8\"><span class=\"c5 c11\">\u2026..<\/span><\/p>\n<h3 id=\"h.comoja8crm3c\" class=\"c23\"><span class=\"c6\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.phil.muni.cz\/~vndrzl\/amstudies\/civilwar_stats.htm&amp;sa=D&amp;ust=1598229716937000&amp;usg=AOvVaw3_Udh_0HcThNTatdaDzg2K\">Civil War<\/a><\/span><span class=\"c13\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.phil.muni.cz\/~vndrzl\/amstudies\/civilwar_stats.htm&amp;sa=D&amp;ust=1598229716937000&amp;usg=AOvVaw3_Udh_0HcThNTatdaDzg2K\">\u00a0Statistics<\/a><\/span><\/h3>\n<p class=\"c3\"><span class=\"c1\">www.phil.muni.cz\/~vndrzl\/amstudies\/<\/span><span class=\"c24\">civilwar<\/span><span class=\"c5 c1\">_stats.htm<\/span><\/p>\n<p class=\"c3\"><span class=\"c1\">The\u00a0<\/span><span class=\"c1 c17\">Civil War<\/span><span class=\"c1\">, America&#8217;s bloodiest conflict, cost nearly 1,100,000 casualties and claimed more than\u00a0<\/span><span class=\"c24\">&#8230;<\/span><span class=\"c1\">\u00a0Confederate Generals killed or mortally\u00a0<\/span><span class=\"c1 c17\">wounded<\/span><span class=\"c1\">\u00a0in battle\u00a0<\/span><span class=\"c5 c24\">\u2026<\/span><\/p>\n<h3 id=\"h.8z1ijytlykyc\" class=\"c23\"><span class=\"c13\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=https:\/\/math.duke.edu\/research\/mathematical-physics&amp;sa=D&amp;ust=1598229716939000&amp;usg=AOvVaw0anp7rqUAN2i3sxtywSUaE\">Mathematical Physics\u00a0<\/a><\/span><span class=\"c31 c29\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=https:\/\/math.duke.edu\/research\/mathematical-physics&amp;sa=D&amp;ust=1598229716939000&amp;usg=AOvVaw0anp7rqUAN2i3sxtywSUaE\">| Department of Mathematics &#8211; Duke Math<\/a><\/span><\/h3>\n<p class=\"c3\"><span class=\"c37 c24 c29\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=https:\/\/math.duke.edu\/research\/mathematical-physics&amp;sa=D&amp;ust=1598229716940000&amp;usg=AOvVaw2BL4E_RmnW2RITUp_nHuQh\">math.duke.edu \u203a research \u203a mathematical-physics<\/a><\/span><\/p>\n<p class=\"c3\"><span class=\"c24 c17\">Mathematical physics<\/span><span class=\"c5 c24\">\u00a0seeks to apply rigorous mathematical ideas to problems in physics,<\/span><\/p>\n<p class=\"c3\"><span class=\"c40 c68 c70\">or or<\/span><span class=\"c40 c68\">fice hole problems<\/span><span class=\"c5 c24\">\u00a0inspired by<\/span><\/p>\n<p class=\"c3\"><span class=\"c5 c24\">pussy \u00a0BEDROOM physics. As such, it is a remarkably broad &#8230;<\/span><\/p>\n<h1 id=\"h.8rfjrlatf1ga\" class=\"c35\"><span class=\"c47 c41 c14\">Venn<\/span><span class=\"c47 c41\">\u00a0Diagrams &#8211;&gt; the living Earth cell<br \/>\n<\/span><span class=\"c28\">Vien\u00a0<\/span><span class=\"c41 c47\">&#8230;Earth systems Hematology<br \/>\nVein &#8230;human blood vessel<\/span><\/h1>\n<h3 id=\"h.nqbz8hgtp7ve\" class=\"c23\"><span class=\"c13\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=https:\/\/math.duke.edu\/research\/mathematical-physics&amp;sa=D&amp;ust=1598229716941000&amp;usg=AOvVaw19zlpRz_Zc0jmFRdjpLg_R\">Mathematical Physics<\/a><\/span><\/h3>\n<h3 id=\"h.ugua3fyw0g1\" class=\"c23\"><span class=\"c13\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=https:\/\/math.duke.edu\/research\/mathematical-physics&amp;sa=D&amp;ust=1598229716942000&amp;usg=AOvVaw3x0CY2jPSv-hHN6CuxzciL\">Mathematical Physics<\/a><\/span><\/h3>\n<h3 id=\"h.ikpbsnpndkyr\" class=\"c23\">\u2026\u2026<span class=\"c20\">\u00a0<\/span><span class=\"c13\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=https:\/\/math.duke.edu\/research\/mathematical-physics&amp;sa=D&amp;ust=1598229716942000&amp;usg=AOvVaw3x0CY2jPSv-hHN6CuxzciL\">hemat \u2026..Physic<\/a><\/span><\/h3>\n<h3 id=\"h.y0xjimeay5ew\" class=\"c23\"><span class=\"c13\">\u2026.. hematology\u00a0<\/span><span class=\"c13 c14\">physic<\/span><span class=\"c13\">al biology<\/span><span class=\"c13\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=https:\/\/math.duke.edu\/research\/mathematical-physics&amp;sa=D&amp;ust=1598229716943000&amp;usg=AOvVaw1IAA0piGlNCojHy_XdYHQA\">\u00a0<\/a><\/span><\/h3>\n<p class=\"c3\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff92c4046.png\" alt=\"\" \/><\/p>\n<h3 id=\"h.oteh0dya6fdr\" class=\"c23\"><span class=\"c13\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.livescience.com\/13672-photos-civil-war-anniversary-injuries.html&amp;sa=D&amp;ust=1598229716944000&amp;usg=AOvVaw0OI4XviHINAnBd0XzeGpn0\">Faces and Injuries of the\u00a0<\/a><\/span><span class=\"c6\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.livescience.com\/13672-photos-civil-war-anniversary-injuries.html&amp;sa=D&amp;ust=1598229716945000&amp;usg=AOvVaw1rjzcmr7DSGLG-HeI8BUkO\">Civil War<\/a><\/span><span class=\"c13\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.livescience.com\/13672-photos-civil-war-anniversary-injuries.html&amp;sa=D&amp;ust=1598229716945000&amp;usg=AOvVaw1rjzcmr7DSGLG-HeI8BUkO\">\u00a0| 150\u00a0<\/a><\/span><span class=\"c6\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.livescience.com\/13672-photos-civil-war-anniversary-injuries.html&amp;sa=D&amp;ust=1598229716946000&amp;usg=AOvVaw2E0kk0LWBT64CnIJX2PfRx\">Civil War<\/a><\/span><span class=\"c13\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.livescience.com\/13672-photos-civil-war-anniversary-injuries.html&amp;sa=D&amp;ust=1598229716946000&amp;usg=AOvVaw2E0kk0LWBT64CnIJX2PfRx\">\u00a0&#8230;<\/a><\/span><\/h3>\n<p class=\"c3\"><span class=\"c1\">www.livescience.com\/13672-photos-<\/span><span class=\"c24\">civil<\/span><span class=\"c1\">&#8211;<\/span><span class=\"c24\">war<\/span><span class=\"c5 c1\">-anniversary-injuries.ht&#8230;<\/span><\/p>\n<p class=\"c3\"><span class=\"c1\">Apr 12, 2011 \u2013 On the 150th anniversary of the start of the\u00a0<\/span><span class=\"c1 c17\">Civil War<\/span><span class=\"c1\">, here&#8217;s a look at battlefield medicine, including amputations, shell\u00a0<\/span><span class=\"c1 c17\">wounds<\/span><span class=\"c1\">, cracked skulls\u00a0<\/span><span class=\"c5 c24\">.<\/span><\/p>\n<h3 id=\"h.ju1if7rhyowk\" class=\"c23\"><span class=\"c31\"><a class=\"c12\" 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=1598229716947000&amp;usg=AOvVaw3PgXrI_Wacat_jW1tN1onp\">Images for\u00a0<\/a><\/span><span class=\"c31 c17\"><a class=\"c12\" 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=1598229716948000&amp;usg=AOvVaw3W6XCK69ekdvZ7aVr27L5l\">civil war wounded<\/a><\/span><\/h3>\n<p class=\"c10\"><span class=\"c24\">&#8230;<\/span><span class=\"c1\">\u00a0<\/span><span class=\"c24\">Wounded Civil War<\/span><span class=\"c5 c1\">\u00a0soldiers<\/span><\/p>\n<p class=\"c3\"><span class=\"c5 c24\">civil war amputees \u00a0&#8211;&gt; SET THEORY WAR \u00a0&#8230;set of body parts<\/span><\/p>\n<p class=\"c3\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff930f847.jpg\" alt=\"\" \/><span class=\"c5 c1\"><\/p>\n<p><\/span><\/p>\n<p class=\"c10\"><span class=\"c37 c1\"><a class=\"c12\" 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=1598229716949000&amp;usg=AOvVaw1inZa7H6i4G7aBL7PmJjBA\">Pvtsewell.jpg<\/a><\/span><\/p>\n<p class=\"c10\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff93219ac.jpg\" alt=\"\" \/><\/p>\n<p class=\"c10\"><span class=\"c1\">261 \u00d7 375 &#8211;\u00a0<\/span><span class=\"c24\">Civil War<\/span><span class=\"c5 c1\">\u00a0Image Private Charles L. Sewell<\/span><\/p>\n<p class=\"c10\"><span class=\"c1 c37\"><a class=\"c12\" 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=1598229716950000&amp;usg=AOvVaw3BzsBLDt5uU-KmONpMrxll\">amputee.jpg<\/a><\/span><span class=\"c5 c1\">\u00a0<\/span><\/p>\n<p class=\"c10\"><span class=\"c1\">537 \u00d7 767 &#8211; A\u00a0<\/span><span class=\"c24\">Civil War amputee<\/span><span class=\"c5 c1\">\u00a0(From: Otis, George<\/span><\/p>\n<p class=\"c3\"><img decoding=\"async\" title=\"Venn diagram ... Shift+R improves the quality of this image. Shift+A improves the quality of all images on this page.\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff92895be.gif\" alt=\"\" \/><\/p>\n<h1 id=\"h.o8twl5q2cpye\" class=\"c35\"><span class=\"c47 c41 c14\">Venn<\/span><span class=\"c47 c41\">\u00a0<\/span><span class=\"c5 c47 c41\">Diagrams &#8211;&gt; the living Earth cell<\/span><\/h1>\n<h1 id=\"h.zfu0xh6h0n12\" class=\"c35 c55\"><\/h1>\n<h1 id=\"h.i1rne772p2e1\" class=\"c35\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff934bc87.png\" alt=\"\" \/><\/h1>\n<h1 id=\"h.dkx6vaktebr9\" class=\"c35\"><span class=\"c28\">Vein\u00a0<\/span><span class=\"c47 c41\">\u2026 I<\/span><span class=\"c5 c47 c41\">NTERNAL human blood vessels<br \/>\nVien .. EXTERNAL \u00a0city on land \u00a0..<br \/>\nVienna Austria Europe<\/span><\/h1>\n<p class=\"c8\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff9388183.png\" alt=\"\" \/><\/p>\n<p class=\"c8\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff93da71a.png\" alt=\"\" \/><\/p>\n<p class=\"c8\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff945254a.png\" alt=\"\" \/><\/p>\n<p><span class=\"c22\">It is probably Vienna&#8217;s most famous address: Sigmund Freud lived for\u00a0<\/span><span class=\"c22 c69\">47 years at Berggasse 19<\/span><span class=\"c5 c7\">\u00a0in Vienna&#8217;s 9th district, from 1891 to 1938. It was from this house \u2026..<\/span><\/p>\n<p class=\"c8\"><span class=\"c5 c7\">Code AK-47 \u2026.. \u00a0Freud \u00a0military tool \u2026..<br \/>\nearth Atlas location with<\/span><\/p>\n<p class=\"c8\"><span class=\"c5 c7\">potassium atom K = 19 for 47 years<\/span><\/p>\n<p class=\"c8\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff94952f5.png\" alt=\"\" \/><\/p>\n<p class=\"c8\"><span class=\"c5 c7\">The Signal Freud \u00a0battle at Westgate shopping mall using Freud military message \u00a0tools \u2026.<\/span><\/p>\n<p class=\"c32\"><span class=\"c22\">AK-47 wea<\/span><span class=\"c5 c7 c14\">pons with Pons &#8211;&gt; Walden Pond<\/span><\/p>\n<p class=\"c32\"><span class=\"c5 c7 c14\">ponder \u00a0\/ think systems<\/span><\/p>\n<p class=\"c32\"><span class=\"c5 c7 c14\">of \u00a0Henry David Thoreau<\/span><\/p>\n<p class=\"c8\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff94be226.png\" alt=\"\" \/><span class=\"c22\"><\/p>\n<p><\/span><span class=\"c5 c41 c42 c66\">Algebra Civil WAR &#8211;<br \/>\nPart 2 LINCOLN<\/span><\/p>\n<p class=\"c8\"><span class=\"c5 c7\">RD-blog-number-2429<\/span><\/p>\n<p class=\"c74\"><span class=\"c5 c15\">The American Civil WAR was composed of many components. It was an expression by NATURE of various social engineering problems in NORTH America &#8230;&#8230; numerical control problems, etc.<\/span><\/p>\n<p class=\"c8\"><span class=\"c5 c15\">Abraham Lincoln<\/span><\/p>\n<h3 id=\"h.56q2dbsfa782\" class=\"c26\"><span class=\"c37 c41 c49\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.nps.gov\/civilwar\/&amp;sa=D&amp;ust=1598229716956000&amp;usg=AOvVaw2dUYmjsTtUZnYvF8e7AEx2\">The\u00a0<\/a><\/span><span class=\"c37 c41 c49 c17\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.nps.gov\/civilwar\/&amp;sa=D&amp;ust=1598229716957000&amp;usg=AOvVaw3ZZh3NA2zRRa3xCB1zgQbr\">Civil War<\/a><\/span><span class=\"c37 c41 c49\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.nps.gov\/civilwar\/&amp;sa=D&amp;ust=1598229716957000&amp;usg=AOvVaw3ZZh3NA2zRRa3xCB1zgQbr\">\u00a0&#8211;<\/a><\/span><\/h3>\n<p class=\"c8\"><span class=\"c19\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.nps.gov\/&amp;sa=D&amp;ust=1598229716957000&amp;usg=AOvVaw0R94zAQnfePSKkrESqK2BQ\">www.nps.gov\/<\/a><\/span><span class=\"c5 c7\">civilwar\/<\/span><\/p>\n<p class=\"c8\"><span class=\"c22\">From 1861 to 1865, the American union<br \/>\nwas broken as brother fought brother in a\u00a0<\/span><span class=\"c22 c17\">Civil War<\/span><span class=\"c5 c7\">\u00a0that remains a defining moment in our nation&#8217;s history. Its causes &#8230;<\/span><\/p>\n<p class=\"c8\"><span class=\"c5 c7\">was broken as brother fought brother<\/span><\/p>\n<p class=\"c8\"><span class=\"c5 c7\">was broken as brother fought brother<\/span><\/p>\n<p class=\"c8\"><span class=\"c0\">was broken\u00a0<\/span><span class=\"c5 c7 c14\">\u00a0as bro\u2026&#8230;fought bro<\/span><\/p>\n<p class=\"c8\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff9531104.png\" alt=\"\" \/><\/p>\n<p class=\"c8\"><span class=\"c5 c7\">was broken as brother fought brother<\/span><\/p>\n<p class=\"c8\"><span class=\"c5 c7\">was broken as brother fought brother<\/span><\/p>\n<p class=\"c8\"><span class=\"c0\">was broken\u00a0<\/span><span class=\"c5 c7 c14\">\u00a0as bro\u2026&#8230;fought bro<\/span><\/p>\n<h3 id=\"h.bnkywtbkq1y8\" class=\"c33\"><span class=\"c41 c14 c71\">Duality WARS \u2026.. of the laws of nature<\/span><\/h3>\n<h3 id=\"h.p6tyl1v0iki4\" class=\"c30 c33\"><\/h3>\n<h3 id=\"h.rpausx23l07r\" class=\"c33 c30\"><\/h3>\n<h3 id=\"h.vfulr9isk6vo\" class=\"c33\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff956ccdc.png\" alt=\"\" \/><\/h3>\n<h3 id=\"h.sa38ab2qsg0\" class=\"c33 c30\"><\/h3>\n<h3 id=\"h.t9am1fhpyqmb\" class=\"c33\"><span class=\"c11 c58 c29 c14\">]<\/span><\/h3>\n<p class=\"c46 c51\"><span class=\"c25 c14 c64\">Far from claiming to make &#8220;the contradiction disappear&#8221; which\u00a0<\/span><span class=\"c25 c14 c39\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=https:\/\/en.wikipedia.org\/wiki\/Max_Born&amp;sa=D&amp;ust=1598229716961000&amp;usg=AOvVaw2qODCn7LchtOMLYSp_LzHf\">Max Born<\/a><\/span><span class=\"c9\">\u00a0thought could be achieved with a statistical approach, de Broglie extended wave\u2013particle duality to all particles (and to crystals which revealed the effects of diffraction) and extended the principle of duality to the laws of nature.<\/span><\/p>\n<p class=\"c51 c46\"><span class=\"c9\">His last work made a single system of laws from the two large systems of thermodynamics and of mechanics:<\/span><\/p>\n<p class=\"c67\"><span class=\"c25 c46 c64\">When\u00a0<\/span><span class=\"c25 c39 c46\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=https:\/\/en.wikipedia.org\/wiki\/Boltzmann&amp;sa=D&amp;ust=1598229716962000&amp;usg=AOvVaw1tw2nQxdvNheNiINnNU5wJ\">Boltzmann<\/a><\/span><span class=\"c15 c29 c43\">\u00a0and his continuators developed their statistical interpretation of Thermodynamics, one could have considered Thermodynamics to be a complicated branch of Dynamics. But, with my actual ideas, it&#8217;s Dynamics that appear to be a simplified branch of Thermodynamics. I think that, of all the ideas that I&#8217;ve introduced in quantum theory in these past years, it&#8217;s that idea that is, by far, the most important and the most profound.<\/span><\/p>\n<p class=\"c51 c46\"><span class=\"c9\">That idea seems to match the continuous\u2013discontinuous duality,<\/span><\/p>\n<p class=\"c51 c46\"><span class=\"c25 c14 c64\">since its dynamics could be the limit of its thermodynamics when transitions to continuous limits are postulated. It is also close to that of\u00a0<\/span><span class=\"c25 c39 c14\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=https:\/\/en.wikipedia.org\/wiki\/Gottfried_Wilhelm_Leibniz&amp;sa=D&amp;ust=1598229716962000&amp;usg=AOvVaw2vRossiNALKY2g4OBsNwf2\">Leibniz<\/a><\/span><span class=\"c9\">, who posited the necessity of &#8220;architectonic principles&#8221; to complete the system of mechanical laws.<\/span><\/p>\n<p class=\"c51 c46\"><span class=\"c9\">However, according to him, there is less duality, in the sense of opposition, than synthesis (one is the limit of the other) and the effort of synthesis is constant according to him, like in his first formula, in which the first member pertains to mechanics and the second to optics:<\/span><\/p>\n<p class=\"c8\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff95e7407.jpg\" alt=\"\" \/><\/p>\n<p class=\"c8\"><span class=\"c5 c7 c14\">Above equation upgrade \u2026\u2026<br \/>\nhv = base 16 hexadecimal<br \/>\nHv = High-values = 255 = HEX\u2019ff\u201d<\/span><\/p>\n<p class=\"c8\"><span class=\"c5 c7 c14\">With messages of MC \u2192<\/span><\/p>\n<p class=\"c8\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff9621af5.jpg\" alt=\"\" \/><\/p>\n<p class=\"c8\"><span class=\"c19\"><a class=\"c12\" 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=1598229716964000&amp;usg=AOvVaw0h6c6TWtqC2BYIDxUmokBC\">The\u00a0<\/a><\/span><span class=\"c37 c25\"><a class=\"c12\" 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=1598229716964000&amp;usg=AOvVaw0h6c6TWtqC2BYIDxUmokBC\">War to\u00a0<\/a><\/span><span class=\"c37 c25 c17\"><a class=\"c12\" 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=1598229716964000&amp;usg=AOvVaw0h6c6TWtqC2BYIDxUmokBC\">Save the Union<\/a><\/span><\/p>\n<p class=\"c8\"><span class=\"c5 c7\">wps.ablongman.com\/long_carnes_an_11\/0,7137,251471-,00.html<\/span><\/p>\n<p class=\"c8\"><span class=\"c22\">&#8230; &#8212;Chapter 15: The War to\u00a0<\/span><span class=\"c22 c17\">Save the Union<\/span><span class=\"c22\">, &#8212;Chapter 16: Reconstruction and the<br \/>\n<\/span><span class=\"c22 c14\">South \u2026..<\/span><span class=\"c22\"><br \/>\n<\/span><span class=\"c22 c73\">Sou<br \/>\n<\/span><span class=\"c5 c7\">M<\/span><\/p>\n<p class=\"c8\"><span class=\"c22 c14\">Mouth\u00a0<\/span><span class=\"c22\">wars of<\/span><span class=\"c22 c73\">\u00a0sou &#8211; Sou<\/span><span class=\"c5 c7\">nd music \u00a0&amp; talk battles<\/span><\/p>\n<p class=\"c8\"><span class=\"c18\">Harm<\/span><span class=\"c5 c7\">onic sound waves \u00a0can create<br \/>\nHarm \/ fighting<\/span><\/p>\n<p class=\"c8\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff966f7a6.png\" alt=\"\" \/><\/p>\n<p class=\"c8\"><span class=\"c5 c7\">\u00a0 , &#8212;Chapter 17: In the Wake of War,<\/span><\/p>\n<h3 id=\"h.cdhji151vmyq\" class=\"c26\"><span class=\"c37 c41 c49 c17\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529&amp;sa=D&amp;ust=1598229716966000&amp;usg=AOvVaw3kvI2bN26jcBYLlCWsUhF-\">Union<\/a><\/span><span class=\"c37 c41 c49\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529&amp;sa=D&amp;ust=1598229716967000&amp;usg=AOvVaw2u5uXEsRXlsSGPuhY-AG0D\">\u00a0(<\/a><\/span><span class=\"c37 c41 c49 c17\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529&amp;sa=D&amp;ust=1598229716967000&amp;usg=AOvVaw2u5uXEsRXlsSGPuhY-AG0D\">set<\/a><\/span><span class=\"c37 c41 c49\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529&amp;sa=D&amp;ust=1598229716967000&amp;usg=AOvVaw2u5uXEsRXlsSGPuhY-AG0D\">\u00a0theory) &#8211; Wikipedia, the free encyclopedia<\/a><\/span><\/h3>\n<p class=\"c8\"><span class=\"c5 c7\">en.wikipedia.org\/wiki\/Union_(set_theory)<\/span><\/p>\n<p class=\"c8\"><span class=\"c25\">In\u00a0<\/span><span class=\"c25 c17\">set<\/span><span class=\"c25\">\u00a0theory, the\u00a0<\/span><span class=\"c25 c17\">union<\/span><span class=\"c25\">\u00a0(denoted by \u222a) of a collection of\u00a0<\/span><span class=\"c17 c25\">sets<\/span><span class=\"c25\">\u00a0is the\u00a0<\/span><span class=\"c25 c17\">set<\/span><span class=\"c5 c15\">\u00a0of all distinct elements in the collection. It is one of the fundamental operations through \u2026<\/span><\/p>\n<p class=\"c8\"><span class=\"c25\">In\u00a0<\/span><span class=\"c25 c17\">set<\/span><span class=\"c5 c15\">\u00a0theory,<\/span><\/p>\n<p class=\"c8\"><span class=\"c25\">In\u00a0<\/span><span class=\"c25 c17\">set<\/span><span class=\"c5 c15\">\u00a0theory,<\/span><\/p>\n<p class=\"c8\"><span class=\"c25\">In\u00a0<\/span><span class=\"c25 c17\">set<\/span><span class=\"c5 c15\">\u00a0theory,<\/span><\/p>\n<p class=\"c8\"><span class=\"c25\">In\u00a0<\/span><span class=\"c40\">Massachue<\/span><span class=\"c14 c40\">set<\/span><span class=\"c40\">ts<\/span><span class=\"c25\">\u00a0 \u00a0<\/span><span class=\"c25 c17\">set<\/span><span class=\"c5 c15\">\u00a0theory \u2026\u2026.<\/span><\/p>\n<p class=\"c8\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff96954b9.gif\" alt=\"\" \/><\/p>\n<p class=\"c8\"><span class=\"c5 c15\">\u00a0<\/span><\/p>\n<p class=\"c8\"><span class=\"c19\"><a class=\"c12\" 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=1598229716970000&amp;usg=AOvVaw0LWb5bf4_GeH9B_LQfN0W4\">Union of two sets<\/a><\/span><span class=\"c22\">\u00a0&#8211;<\/span><span class=\"c22\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529%23Algebraic_properties&amp;sa=D&amp;ust=1598229716971000&amp;usg=AOvVaw2yr_aXVNUsu3U1WZCHRJoj\">\u00a0<\/a><\/span><span class=\"c19\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529%23Algebraic_properties&amp;sa=D&amp;ust=1598229716971000&amp;usg=AOvVaw2yr_aXVNUsu3U1WZCHRJoj\">Algebraic properties<\/a><\/span><span class=\"c22\">\u00a0&#8211;<\/span><span class=\"c22\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529%23Finite_unions&amp;sa=D&amp;ust=1598229716971000&amp;usg=AOvVaw2LRwttvz3KbEGODfQZdAaa\">\u00a0<\/a><\/span><span class=\"c19\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529%23Finite_unions&amp;sa=D&amp;ust=1598229716972000&amp;usg=AOvVaw3s-7xDjvIQ_0H6qsEKU3HB\">Finite unions<\/a><\/span><span class=\"c22\">\u00a0&#8211;<\/span><span class=\"c22\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529%23Arbitrary_unions&amp;sa=D&amp;ust=1598229716972000&amp;usg=AOvVaw2bTBfs94f8zDJK82aKN-Ga\">\u00a0<\/a><\/span><span class=\"c19\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/en.wikipedia.org\/wiki\/Union_%2528set_theory%2529%23Arbitrary_unions&amp;sa=D&amp;ust=1598229716972000&amp;usg=AOvVaw2bTBfs94f8zDJK82aKN-Ga\">Arbitrary unions<\/a><\/span><\/p>\n<h3 id=\"h.fb8sbec8y5kc\" class=\"c23\"><span class=\"c37 c41 c17\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.onlinemathlearning.com\/union-of-sets.html&amp;sa=D&amp;ust=1598229716973000&amp;usg=AOvVaw0Q13CyUE0RTJwhqw-mLDpd\">Union Of Sets<\/a><\/span><span class=\"c37 c41 c49\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.onlinemathlearning.com\/union-of-sets.html&amp;sa=D&amp;ust=1598229716973000&amp;usg=AOvVaw0Q13CyUE0RTJwhqw-mLDpd\">\u00a0(with worked solutions)<\/a><\/span><\/h3>\n<h3 id=\"h.cqdkx08g7ldq\" class=\"c23\"><span class=\"c37 c41 c17\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.onlinemathlearning.com\/union-of-sets.html&amp;sa=D&amp;ust=1598229716973000&amp;usg=AOvVaw0Q13CyUE0RTJwhqw-mLDpd\">Union Of Sets<\/a><\/span><span class=\"c37 c41 c49\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.onlinemathlearning.com\/union-of-sets.html&amp;sa=D&amp;ust=1598229716974000&amp;usg=AOvVaw3JsvAoSztwca6kE8ZZtE-n\">\u00a0(with worked solutions)<\/a><\/span><\/h3>\n<h3 id=\"h.nwjb0ix9sfqy\" class=\"c23\"><span class=\"c37 c41 c17\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.onlinemathlearning.com\/union-of-sets.html&amp;sa=D&amp;ust=1598229716974000&amp;usg=AOvVaw3JsvAoSztwca6kE8ZZtE-n\">Union Of Sets<\/a><\/span><span class=\"c37 c41 c49\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.onlinemathlearning.com\/union-of-sets.html&amp;sa=D&amp;ust=1598229716974000&amp;usg=AOvVaw3JsvAoSztwca6kE8ZZtE-n\">\u00a0(with worked solutions &#8230;such as the mathematics CIVIL WAR)<\/a><\/span><\/h3>\n<p class=\"c8\"><span class=\"c19\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.onlinemathlearning.com\/&amp;sa=D&amp;ust=1598229716975000&amp;usg=AOvVaw0jI75twSgApR7CJNIXTa_M\">www.onlinemathlearning.com\/<\/a><\/span><span class=\"c5 c7\">union-of-sets.html<\/span><\/p>\n<p class=\"c3\"><span class=\"c22 c17\">Union of Sets<\/span><span class=\"c22\">. &#8230; Set Theory:\u00a0<\/span><span class=\"c22 c17\">Union Of Sets<\/span><span class=\"c5 c7\">. 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 &#8230;<\/span><\/p>\n<p class=\"c3\"><span class=\"c5 c7\">Additional math war components&#8230;&#8230;<\/span><\/p>\n<p class=\"c3\"><span class=\"c37 c25\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cyberlearning-world.com\/nhhs\/html\/union.htm&amp;sa=D&amp;ust=1598229716976000&amp;usg=AOvVaw0Tu_4LOxD19GXvW-gzOP8Q\">LINCOLN\u00a0<\/a><\/span><span class=\"c37 c25 c17\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cyberlearning-world.com\/nhhs\/html\/union.htm&amp;sa=D&amp;ust=1598229716976000&amp;usg=AOvVaw0Tu_4LOxD19GXvW-gzOP8Q\">SAVED THE UNION<\/a><\/span><\/p>\n<p class=\"c3\"><span class=\"c19\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cyberlearning-world.com\/nhhs\/html\/&amp;sa=D&amp;ust=1598229716977000&amp;usg=AOvVaw3_parZNb_pgfsirLsbwkWr\">www.cyberlearning-world.com\/nhhs\/html\/<\/a><\/span><span class=\"c5 c7\">union.htm<\/span><\/p>\n<p class=\"c3\"><span class=\"c22\">Lincoln&#8217;s concern was to\u00a0<\/span><span class=\"c17 c22\">save the Union<\/span><span class=\"c5 c7\">,<\/span><\/p>\n<h3 id=\"h.8mguusan7bd7\" class=\"c23\"><span class=\"c37 c41\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cyberlearning-world.com\/nhhs\/html\/union.htm&amp;sa=D&amp;ust=1598229716977000&amp;usg=AOvVaw1yP42U5GLYp5B41DYiinon\">LINCOLN\u00a0<\/a><\/span><span class=\"c37 c15 c44 c17\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cyberlearning-world.com\/nhhs\/html\/union.htm&amp;sa=D&amp;ust=1598229716977000&amp;usg=AOvVaw1yP42U5GLYp5B41DYiinon\">SAVED THE UNION<\/a><\/span><\/h3>\n<h3 id=\"h.8mguusan7bd7-1\" class=\"c23\"><span class=\"c37 c41 c14\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cyberlearning-world.com\/nhhs\/html\/union.htm&amp;sa=D&amp;ust=1598229716978000&amp;usg=AOvVaw2Wfa4xUxcdace5AJ-0Od-7\">LINCOLN &#8212;&gt; LIN + COL + N &#8211;&gt;\u00a0<\/a><\/span><span class=\"c37 c15 c44 c14 c17\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cyberlearning-world.com\/nhhs\/html\/union.htm&amp;sa=D&amp;ust=1598229716978000&amp;usg=AOvVaw2Wfa4xUxcdace5AJ-0Od-7\">SAVED THE UNION<\/a><\/span><\/h3>\n<h3 id=\"h.8mguusan7bd7-2\" class=\"c23\"><span class=\"c37 c41\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cyberlearning-world.com\/nhhs\/html\/union.htm&amp;sa=D&amp;ust=1598229716978000&amp;usg=AOvVaw2Wfa4xUxcdace5AJ-0Od-7\">LINE + COLUMN N &#8212;&gt; saved\u00a0<\/a><\/span><span class=\"c37 c41 c17\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cyberlearning-world.com\/nhhs\/html\/union.htm&amp;sa=D&amp;ust=1598229716979000&amp;usg=AOvVaw2gQx-7dXZ-5tjykvPplf3l\">THE UNION<\/a><\/span><\/h3>\n<p class=\"c8\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff9712a42.png\" alt=\"\" \/><\/p>\n<h3 id=\"h.xuvjr95bqt5e\" class=\"c23\"><span class=\"c37 c14 c41\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cyberlearning-world.com\/nhhs\/html\/union.htm&amp;sa=D&amp;ust=1598229716980000&amp;usg=AOvVaw0npjXnqO-R9OM2tBgifHyW\">LINCOLN &#8212;&gt; LIN + COL + N &#8211;&gt;\u00a0<\/a><\/span><span class=\"c37 c15 c44 c14 c17\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cyberlearning-world.com\/nhhs\/html\/union.htm&amp;sa=D&amp;ust=1598229716980000&amp;usg=AOvVaw0npjXnqO-R9OM2tBgifHyW\">SAVED THE UNION<\/a><\/span><\/h3>\n<h3 id=\"h.enxw4yt1bvdk\" class=\"c23\"><span class=\"c37 c41\"><a class=\"c12\" href=\"https:\/\/www.google.com\/url?q=http:\/\/www.cyberlearning-world.com\/nhhs\/html\/union.htm&amp;sa=D&amp;ust=1598229716980000&amp;usg=AOvVaw0npjXnqO-R9OM2tBgifHyW\">LINE (horizontal row) \u00a0+ \u00a0(vertical) COLUMN N &#8211;<\/a><\/span><\/h3>\n<p class=\"c8\"><span class=\"c5 c16\">Names \u2026\u2026 \u00a0array, linear algebra, matrix, matrices \u00a0\u2026.<\/span><\/p>\n<p class=\"c8\"><span class=\"c5 c16\">Computer science tale with subscripts,<br \/>\nbook-keeping \/accounting forms for decimal number money transactions<\/span><\/p>\n<p class=\"c8\"><span class=\"c5 c16\">Thus the EARTH geography \u2026.. \u00a0math land regions \u2026<\/span><\/p>\n<p class=\"c8\"><span class=\"c5 c16\">Array \u2026 State of Maryland<\/span><\/p>\n<p class=\"c8\"><span class=\"c5 c16\">Lines and columns \u2026.Land of Lincoln ..Illinois<\/span><\/p>\n<p class=\"c8\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff97e6dd2.png\" alt=\"\" \/><\/p>\n<p class=\"c3\"><span class=\"c5 c15\">Thus we see 2 applications of the THEORY of LINCOLN mathematical-physics expressions.<\/span><\/p>\n<p class=\"c3\"><span class=\"c5 c15\">a) LINE &amp; Column N suggest an N X N square matrix ..or matrices<\/span><\/p>\n<p class=\"c3\"><span class=\"c5 c15\">100 years later we had Vice-president NIXON (year 1959) and then President NixoN (year 1969)<\/span><\/p>\n<p class=\"c3\"><span class=\"c5 c15\">Math President for N X N square matrices was NIXON.<\/span><\/p>\n<p class=\"c3\"><span class=\"c5 c15\">The math war took place in VS = Vector Space region known as Vietnam, Asia.<\/span><\/p>\n<p class=\"c3\"><span class=\"c5 c15\">The geography region is known as the ORIENT &#8211;&gt; implies ORIENTATION or direction &#8211;&gt; implies vector<\/span><\/p>\n<p class=\"c3\"><span class=\"c5 c15\">Analysis of mathematical-physics space reveals the existence of RICE FIELDS on the geography surface of EARTH in the vector space region of VS =Vietnam South.<\/span><\/p>\n<p class=\"c3\"><span class=\"c5 c15\">Einstein&#8217;s FIELD theory thus involves RICE FIELDS &#8230;&#8230;specifically the well-known math structure&#8230;.. matRICES 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=\"c3\"><span class=\"c5 c15\">Thus we see Nature&#8217;s WAR protecting the mathematical-physics architecture of Sartre existentialism.<\/span><\/p>\n<p class=\"c3\"><img decoding=\"async\" title=\"\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff9827fd3.jpg\" alt=\"\" \/><\/p>\n<p class=\"c10\"><span class=\"c19\"><a class=\"c12\" 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=1598229716984000&amp;usg=AOvVaw3aDtj17ElSVUx89E873XSY\">square\u2011matrix<\/a><\/span><\/p>\n<p class=\"c10\"><span class=\"c5 c7\">A square matrix has the same number of rows as columns .<\/span><\/p>\n<p class=\"c3\"><span class=\"c5 c7\">Thus we need to reconsider the CIVIL WAR and LINCOLN and the math MULTIPLY symbol<\/span><\/p>\n<p class=\"c3\"><span class=\"c5 c7\">of the Confederate linear algebra BIO-MATH soldiers.<\/span><\/p>\n<p class=\"c3\"><img decoding=\"async\" title=\" ... Shift+R improves the quality of this image. CTRL+F5 reloads the whole page.\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff98a90a4.jpg\" alt=\"undefined\" \/><\/p>\n<p class=\"c10\"><span class=\"c5 c7\">The 9th&#8217;s Regimental Battle flag has the Gettysburg Battle Honor on the &#8230;<\/span><\/p>\n<p class=\"c10\"><span class=\"c5 c7\">Below, the multiple symbol &#8211;&gt; Battle Flag symbol<\/span><\/p>\n<p class=\"c10\"><img decoding=\"async\" title=\" ... Shift+R improves the quality of this image. CTRL+F5 reloads the whole page.\" src=\"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-content\/uploads\/sites\/14\/2020\/08\/img_5f42ff98d0489.jpg\" alt=\"undefined\" \/><\/p>\n<p class=\"c10\"><span class=\"c5 c7\">Matrix Multiply Order &#8211;&gt; Nature&#8217;s MILITARY math orders to BIO-MATH humanoid &#8230; carrier vehicles for symbolic machines.<\/span><\/p>\n<p class=\"c10\"><span class=\"c5 c7\">Will the American Mathematical Association help ANSWER these questions ?<\/span><\/p>\n<p class=\"c10\"><span class=\"c5 c7\">Thus &#8230;in year 2012 \u00a0we have more information about the CAUSES and deeper levels of REALITY \u00a0underlying the Math war involving President Abe LINCOLN \u00a0&#8230;&#8230; and later &#8230; another phase of the linear algebra war \u00a0under MATH President NIXON \u00a0&#8230;&#8230;. commander-in-chief for N x N square matrices.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>RD-blog-number-2429 \u2026.. Parts 1 and 2 \u2026. by Herb Zinser The Algebra Civil WAR with ABE LINCOLN The American Civil [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-296","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-json\/wp\/v2\/posts\/296","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-json\/wp\/v2\/comments?post=296"}],"version-history":[{"count":1,"href":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-json\/wp\/v2\/posts\/296\/revisions"}],"predecessor-version":[{"id":323,"href":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-json\/wp\/v2\/posts\/296\/revisions\/323"}],"wp:attachment":[{"href":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-json\/wp\/v2\/media?parent=296"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-json\/wp\/v2\/categories?post=296"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/region12.herbzinser07.com\/dir\/science07-sideas\/wp-json\/wp\/v2\/tags?post=296"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}