{"id":14,"date":"2008-12-02T20:10:01","date_gmt":"2008-12-03T00:10:01","guid":{"rendered":"http:\/\/blogs.williams.edu\/Morgan\/?p=14"},"modified":"2014-06-29T21:02:51","modified_gmt":"2014-06-30T02:02:51","slug":"p-vs-np-most-important-open-math-question","status":"publish","type":"post","link":"https:\/\/sites.williams.edu\/Morgan\/2008\/12\/02\/p-vs-np-most-important-open-math-question\/","title":{"rendered":"P vs NP Most Important Open Math Question?"},"content":{"rendered":"<div>\n<div>\n<p><a href=\"http:\/\/en.wikipedia.org\/wiki\/Complexity_classes_P_and_NP\">P vs NP<\/a> was voted the most important open math question by\u00a0my senior seminar on\u00a0<a href=\"http:\/\/www.williams.edu\/Registrar\/catalog\/depts\/math\/courses.html\">&#8220;The Big Questions&#8221; Math 481<\/a>, followed by the\u00a0<a href=\"http:\/\/en.wikipedia.org\/wiki\/Riemann_hypothesis\">Riemann Hypothesis,<\/a> <a href=\"http:\/\/en.wikipedia.org\/wiki\/Yang-Mills_existence_and_mass_gap\">Yang-Mills,<\/a> and\u00a0<a href=\"http:\/\/en.wikipedia.org\/wiki\/Navier-Stokes_equations\">Navier-Stokes.<\/a> The\u00a0<a href=\"http:\/\/en.wikipedia.org\/wiki\/Poincar\u00e9_conjecture\">Poincar\u00e9 Conjecture,<\/a> proved by Perelman in 2003, was voted the most important proven theorem. What would you say?<\/p>\n<p>Here are their top ten:<\/p>\n<p><!--more-->1. \u00a0P vs NP<\/p>\n<p>2. \u00a0Riemann Hypothesis<\/p>\n<p>3. \u00a0Yang-Mills<\/p>\n<p>4. \u00a0Navier-Stokes<\/p>\n<p>5. \u00a0Poincar\u00e9 Conjecture (Perelman)<\/p>\n<p>6. \u00a0G\u00f6del Incompleteness<\/p>\n<p>7. \u00a0Fermat&#8217;s Last Theorem (Wiles)<\/p>\n<p>8. \u00a0Kelvin Problem<\/p>\n<p>9. \u00a0Double Bubble Theorem<\/p>\n<p>10. Hales Sphere Packing<\/p>\n<p><a href=\"http:\/\/en.wikipedia.org\/wiki\/Complexity_classes_P_and_NP\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" alt=\"\" src=\"https:\/\/www.williams.edu\/Mathematics\/fmorgan\/481L2.JPG\" width=\"448\" height=\"275\" \/><\/a><\/p>\n<p>Morgan&#8217;s &#8220;Big Questions&#8221; senior seminar, Williams Math 481, Fall 2008. Ranking the questions was suggested by Ali Barrett &#8217;09, lower left in second photo.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft\" alt=\"481LunchDec08\" src=\"https:\/\/www.williams.edu\/Mathematics\/fmorgan\/481L1.jpg\" width=\"450\" height=\"355\" \/><\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>P vs NP was voted the most important open math question by\u00a0my senior seminar on\u00a0&#8220;The Big Questions&#8221; Math 481, followed by the\u00a0Riemann Hypothesis, Yang-Mills, and\u00a0Navier-Stokes. The\u00a0Poincar\u00e9 Conjecture, proved by Perelman in 2003, was voted the most important proven theorem. What would you say? Here are their top ten:<\/p>\n","protected":false},"author":269,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[14043],"tags":[],"class_list":["post-14","post","type-post","status-publish","format-standard","hentry","category-math"],"acf":[],"_links":{"self":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/posts\/14","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/users\/269"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/comments?post=14"}],"version-history":[{"count":1,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/posts\/14\/revisions"}],"predecessor-version":[{"id":2009,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/posts\/14\/revisions\/2009"}],"wp:attachment":[{"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/media?parent=14"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/categories?post=14"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sites.williams.edu\/Morgan\/wp-json\/wp\/v2\/tags?post=14"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}