{"id":278116,"date":"2016-04-12T14:15:03","date_gmt":"2016-04-12T10:15:03","guid":{"rendered":"http:\/\/savepearlharbor.com\/?p=278116"},"modified":"-0001-11-30T00:00:00","modified_gmt":"-0001-11-29T21:00:00","slug":"","status":"publish","type":"post","link":"https:\/\/savepearlharbor.com\/?p=278116","title":{"rendered":"\u0422\u0430\u043a \u0447\u0435\u043c\u0443 \u0432\u0441\u0435-\u0442\u0430\u043a\u0438 \u0440\u0430\u0432\u043d\u0430 \u0441\u0443\u043c\u043c\u0430 1+2+3+4+\u2026"},"content":{"rendered":"<p>       \u0427\u0435\u043c\u0443 \u0431\u0443\u0434\u0435\u0442 \u0432 \u0438\u0442\u043e\u0433\u0435 \u0440\u0430\u0432\u043d\u044f\u0442\u044c\u0441\u044f \u0447\u0438\u0441\u043b\u043e, \u0435\u0441\u043b\u0438 \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c \u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u044b\u0435 \u0447\u0438\u0441\u043b\u0430? \u041e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u0447\u0442\u043e \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e\u0441\u0442\u0438 \u0438\u043b\u0438\u2026<\/p>\n<p>  <a name=\"habracut\"><\/a><\/p>\n<p>  \u041f\u0443\u0441\u0442\u044c <img decoding=\"async\" src=\"https:\/\/tex.s2cms.ru\/svg\/sum%20%3D%200\" alt=\"sum = 0\"\/>. \u041f\u043e\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e \u0431\u0443\u0434\u0435\u043c \u043f\u0440\u0438\u0431\u0430\u0432\u043b\u044f\u0442\u044c \u0432\u0441\u0435 \u0447\u0438\u0441\u043b\u0430, \u043d\u0430\u0447\u0438\u043d\u0430\u044f \u0441 1. \u041c\u044b \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e \u043c\u043d\u043e\u0436\u0435\u0441\u0442\u0432\u043e \u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b \u0441\u0447\u0435\u0442\u043d\u043e, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u043a\u0430\u0436\u0434\u043e\u043c\u0443 \u0447\u0438\u0441\u043b\u0443 \u043c\u043e\u0436\u043d\u043e \u043f\u0440\u0438\u043f\u0438\u0441\u0430\u0442\u044c \u043d\u043e\u043c\u0435\u0440. \u042d\u0442\u043e\u0442 \u043d\u043e\u043c\u0435\u0440 \u0431\u0443\u0434\u0435\u0442 \u0441\u043e\u0432\u043f\u0430\u0434\u0430\u0442\u044c \u0441 \u0441\u0430\u043c\u0438\u043c \u0447\u0438\u0441\u043b\u043e\u043c. \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c \u0438\u043c\u0435\u0435\u043c <img decoding=\"async\" src=\"https:\/\/tex.s2cms.ru\/svg\/%20N%20%3D%20%5C%7B1%2C2%2C3%2C4%2C5%2C...%5C%7D\" alt=\"N = \\{1,2,3,4,5,...\\}\"\/>.<\/p>\n<p>  \u0412\u043e\u0437\u044c\u043c\u0435\u043c \u043f\u0435\u0440\u0432\u044b\u0435 \u0442\u0440\u0438 \u0447\u0438\u0441\u043b\u0430. \u0418\u0445 \u0441\u0443\u043c\u043c\u0430 \u0431\u0443\u0434\u0435\u0442 \u0440\u0430\u0432\u043d\u044f\u0442\u044c\u0441\u044f 6, \u0432\u0435\u0440\u043d\u043e? \u0415\u0441\u043b\u0438 \u043f\u0440\u0438\u0431\u0430\u0432\u0438\u0442\u044c \u043a \u0438\u043c\u0435\u044e\u0449\u0435\u0439\u0441\u044f \u0441\u0443\u043c\u043c\u0435 4, \u0442\u043e \u043f\u043e\u043b\u0443\u0447\u0438\u043c 10. \u041d\u043e \u043a\u0430\u043a\u043e\u0435 \u0447\u0438\u0441\u043b\u043e \u043c\u044b \u043f\u043e\u043b\u0443\u0447\u0438\u043c, \u0435\u0441\u043b\u0438 \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e \u043f\u0440\u0438\u0431\u0430\u0432\u043b\u044f\u0442\u044c \u0447\u0438\u0441\u043b\u0430? \u042f \u0443\u0436\u0435 \u0437\u0430\u0434\u0430\u0432\u0430\u043b \u044d\u0442\u043e\u0442 \u0432\u043e\u043f\u0440\u043e\u0441 \u0432 \u0441\u0430\u043c\u043e\u043c \u043d\u0430\u0447\u0430\u043b\u0435. \u041d\u0430 \u0441\u0430\u043c\u043e\u043c \u0434\u0435\u043b\u0435, \u044f \u0430\u043a\u0446\u0435\u043d\u0442\u0438\u0440\u0443\u044e \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435 \u043d\u0430 \u043d\u0435\u043c(\u0432\u043e\u043f\u0440\u043e\u0441\u0435), \u0442\u0430\u043a \u043a\u0430\u043a \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u0442\u0441\u044f \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e. \u0420\u0430\u0441\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u0432\u0441\u044e \u044d\u0442\u0443 \u043c\u0430\u0433\u0438\u044e \u043f\u043e\u0434\u0440\u043e\u0431\u043d\u0435\u0439.<\/p>\n<p>  \u041f\u0443\u0441\u0442\u044c \u0443 \u043d\u0430\u0441 \u0435\u0441\u0442\u044c 3 \u0447\u0438\u0441\u043b\u043e\u0432\u044b\u0445 \u0440\u044f\u0434\u0430<\/p>\n<div style=\"text-align:center;\"><img decoding=\"async\"  src=\"https:\/\/tex.s2cms.ru\/svg\/%20S_1%20%3D%201-1%2B1-1%2B1-1%2B1-1%2B...%20\" alt=\"S_1 = 1-1+1-1+1-1+1-1+...\"\/><\/div>\n<p>  <\/p>\n<div style=\"text-align:center;\"><img decoding=\"async\"  src=\"https:\/\/tex.s2cms.ru\/svg\/%20S_2%20%3D%201-2%2B3-4%2B5-6%2B7-8%2B...%20\" alt=\"S_2 = 1-2+3-4+5-6+7-8+...\"\/><\/div>\n<p>  <\/p>\n<div style=\"text-align:center;\"><img decoding=\"async\"  src=\"https:\/\/tex.s2cms.ru\/svg\/%20S%20%3D%201%2B2%2B3%2B4%2B5%2B6%2B7%2B8%2B...%20\" alt=\"S = 1+2+3+4+5+6+7+8+...\"\/><\/div>\n<p>  \u0418\u0437 \u043a\u0443\u0440\u0441\u0430 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438 \u043c\u044b \u0437\u043d\u0430\u0435\u043c, \u0447\u0442\u043e <img decoding=\"async\" src=\"https:\/\/tex.s2cms.ru\/svg\/%20S_1%20%3D%201%2F2%20\" alt=\"S_1 = 1\/2\"\/>. \u041c\u043e\u0436\u043d\u043e \u0434\u043e\u043a\u0430\u0437\u0430\u0442\u044c \u044d\u0442\u043e \u0442\u043e\u0447\u043d\u043e, \u0430 \u043c\u043e\u0436\u043d\u043e \u0440\u0430\u0441\u0441\u0443\u0436\u0434\u0430\u0442\u044c \u043b\u043e\u0433\u0438\u0447\u0435\u0441\u043a\u0438. \u0420\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u0437\u0430\u0432\u0438\u0441\u0438\u0442 \u043e\u0442 \u0442\u043e\u0433\u043e, \u043d\u0430 \u043a\u0430\u043a\u043e\u043c \u044d\u043b\u0435\u043c\u0435\u043d\u0442\u0435 \u043c\u044b \u043e\u0431\u043e\u0440\u0432\u0435\u043c \u0441\u0443\u043c\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435. \u0415\u0441\u043b\u0438 \u043d\u0430 <img decoding=\"async\" src=\"https:\/\/tex.s2cms.ru\/svg\/%201%20\" alt=\"1\"\/>, \u0442\u043e \u0441\u0443\u043c\u043c\u0430 \u0440\u0430\u0432\u043d\u0430 \u0435\u0434\u0438\u043d\u0438\u0446\u0435. \u0415\u0441\u043b\u0438 \u043d\u0430 <img decoding=\"async\" src=\"https:\/\/tex.s2cms.ru\/svg\/%20-1%20\" alt=\"-1\"\/>, \u0442\u043e \u0441\u0443\u043c\u043c\u0430 \u0440\u0430\u0432\u043d\u0430 \u043d\u0443\u043b\u044e. \u0411\u0435\u0440\u0435\u043c \u0441\u0440\u0435\u0434\u043d\u0435\u0435 \u0438 \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u043c <img decoding=\"async\" src=\"https:\/\/tex.s2cms.ru\/svg\/%201%2F2%20\" alt=\"1\/2\"\/>.<\/p>\n<p>  \u0422\u0435\u043f\u0435\u0440\u044c \u0443\u0437\u043d\u0430\u0435\u043c \u0447\u0435\u043c\u0443 \u0440\u0430\u0432\u043d\u0430 \u0441\u0443\u043c\u043c\u0430 <img decoding=\"async\" src=\"https:\/\/tex.s2cms.ru\/svg\/%20S_2%20\" alt=\"S_2\"\/>. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u0440\u043e\u0432\u0435\u0434\u0435\u043c \u043f\u0430\u0440\u0443 \u043c\u0430\u043d\u0438\u043f\u0443\u043b\u044f\u0446\u0438\u0439. \u0412\u043e\u0437\u044c\u043c\u0435\u043c \u0438 \u0443\u0437\u043d\u0430\u0435\u043c \u0447\u0435\u043c\u0443 \u0440\u0430\u0432\u043d\u0430 \u0441\u0443\u043c\u043c\u0430 <img decoding=\"async\" src=\"https:\/\/tex.s2cms.ru\/svg\/%20S_2%20%2B%20S_2%20\" alt=\"S_2 + S_2\"\/>. \u042f \u0437\u0430\u043f\u0438\u0448\u0443 \u0441\u0443\u043c\u043c\u0443 \u0432 \u0441\u0442\u043e\u043b\u0431\u0438\u043a, \u043d\u043e \u0441 \u043d\u0435\u0431\u043e\u043b\u044c\u0448\u0438\u043c \u0441\u043c\u0435\u0449\u0435\u043d\u0438\u0435\u043c.<\/p>\n<p>  1-2+3-4+5-6+7-8+\u2026<\/p>\n<p>  __1-2+3-4+5-6+7-\u2026<\/p>\n<p>  &#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;<\/p>\n<p>  1-1+1-1+1-1+1-1+\u2026<\/p>\n<p>  \u041c\u044b \u0437\u043d\u0430\u0435\u043c, \u0447\u0435\u043c\u0443 \u0440\u0430\u0432\u043d\u0430 \u044d\u0442\u0430 \u0441\u0443\u043c\u043c\u0430. \u041f\u043e\u043b\u0443\u0447\u0430\u0435\u0442\u0441\u044f, \u0447\u0442\u043e<\/p>\n<div style=\"text-align:center;\"><img decoding=\"async\"  src=\"https:\/\/tex.s2cms.ru\/svg\/%202*S_2%20%3D%201%2F2%20\" alt=\"2*S_2 = 1\/2\"\/><\/div>\n<p>  <\/p>\n<div style=\"text-align:center;\"><img decoding=\"async\"  src=\"https:\/\/tex.s2cms.ru\/svg\/%20S_2%20%3D%201%2F4%20\" alt=\"S_2 = 1\/4\"\/><\/div>\n<p>  \u0410 \u0442\u0435\u043f\u0435\u0440\u044c \u0438\u0437 <img decoding=\"async\" src=\"https:\/\/tex.s2cms.ru\/svg\/%20S%20\" alt=\"S\"\/> \u0432\u044b\u0447\u0442\u0435\u043c <img decoding=\"async\" src=\"https:\/\/tex.s2cms.ru\/svg\/%20S_2%20\" alt=\"S_2\"\/><\/p>\n<div style=\"text-align:center;\"><img decoding=\"async\"  src=\"https:\/\/tex.s2cms.ru\/svg\/%20S%20-%20S_2%20%3D%201%2B2%2B3%2B4%2B5%2B...%20-%20%5B1-2%2B3-4%2B5-...%5D%20\" alt=\"S - S_2 = 1+2+3+4+5+... - [1-2+3-4+5-...]\"\/><\/div>\n<p>  <\/p>\n<div style=\"text-align:center;\"><img decoding=\"async\"  src=\"https:\/\/tex.s2cms.ru\/svg\/%20S%20-%20S_2%20%3D%204%20%2B%208%20%2B%2012%20%2B%2016%20%2B%20...%20\" alt=\"S - S_2 = 4 + 8 + 12 + 16 + ...\"\/><\/div>\n<p>  <\/p>\n<div style=\"text-align:center;\"><img decoding=\"async\"  src=\"https:\/\/tex.s2cms.ru\/svg\/%20S%20-%20S_2%20%3D%204%20*%20(1%2B2%2B3%2B4%2B5%2B...)%20\" alt=\"S - S_2 = 4 * (1+2+3+4+5+...)\"\/><\/div>\n<p>  <\/p>\n<div style=\"text-align:center;\"><img decoding=\"async\"  src=\"https:\/\/tex.s2cms.ru\/svg\/%20S%20-%20S_2%20%3D%204%20*%20S%20\" alt=\"S - S_2 = 4 * S\"\/><\/div>\n<p>  <\/p>\n<div style=\"text-align:center;\"><img decoding=\"async\"  src=\"https:\/\/tex.s2cms.ru\/svg\/%20-S_2%20%20%3D%203%20*%20S\" alt=\"-S_2  = 3 * S\"\/><\/div>\n<p>  <\/p>\n<div style=\"text-align:center;\"><img decoding=\"async\"  src=\"https:\/\/tex.s2cms.ru\/svg\/%20-1%2F4%20%3D%203%20*%20S\" alt=\"-1\/4 = 3 * S\"\/><\/div>\n<p>  <\/p>\n<div style=\"text-align:center;\"><img decoding=\"async\"  src=\"https:\/\/tex.s2cms.ru\/svg\/%20S%20%3D%20-1%2F12%20\" alt=\"S = -1\/12\"\/><\/div>\n<p>  \u0427\u0442\u043e? \u041a\u0430\u043a \u0441\u0443\u043c\u043c\u0430 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b \u043c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u0440\u0430\u0432\u043d\u0430 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u043c\u0443 \u0447\u0438\u0441\u043b\u0443. \u0422\u0430\u043a \u0435\u0449\u0435 \u0438 \u0438\u043c\u0435\u043d\u043d\u043e \u0442\u0430\u043a\u043e\u043c\u0443?<\/p>\n<p>  <strong>\u0412\u0430\u0436\u043d\u043e<\/strong>: \u0415\u0441\u043b\u0438 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u0434\u0440\u0443\u0433\u043e\u0439 \u043c\u0435\u0442\u043e\u0434 (\u043c\u0435\u0442\u043e\u0434 \u0433\u0440\u0443\u043f\u043f\u0438\u0440\u043e\u0432\u043a\u0438) \u0434\u043b\u044f S, \u0442\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043f\u043e\u043b\u0443\u0447\u0430\u0435\u0442\u0441\u044f \u0440\u0430\u0432\u043d\u044b\u043c <img decoding=\"async\" src=\"https:\/\/tex.s2cms.ru\/svg\/%20-1%2F8%20\" alt=\"-1\/8\"\/>.<\/p>\n<p>  \u0413\u043e\u0432\u043e\u0440\u044f\u0442, \u0447\u0442\u043e \u0432 \u0444\u0438\u0437\u0438\u043a\u0435, \u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u044f \u043c\u043d\u043e\u0433\u043e\u043c\u0435\u0440\u043d\u044b\u0435 \u043f\u0440\u043e\u0441\u0442\u0440\u0430\u043d\u0441\u0442\u0432\u0430, \u043f\u043e\u043b\u0443\u0447\u0430\u044e\u0442 \u0442\u0430\u043a\u0438\u0435 \u0441\u0443\u043c\u043c\u044b. \u042d\u0442\u043e \u043e\u0447\u0435\u043d\u044c \u0438\u043d\u0442\u0435\u0440\u0435\u0441\u043d\u043e.<\/p>\n<p>  \u0412\u043e\u0442 <a href=\"https:\/\/www.youtube.com\/watch?v=w-I6XTVZXww&amp;nohtml5=False\">\u0441\u0441\u044b\u043b\u043a\u0430<\/a> \u043d\u0430 \u0432\u0438\u0434\u0435\u043e \u0441 \u043f\u0435\u0440\u0432\u043e\u0438\u0441\u0442\u043e\u0447\u043d\u0438\u043a\u043e\u043c. \u041c\u043e\u0436\u0435\u0442 \u0431\u044b\u0442\u044c \u044d\u0442\u043e \u0432\u0441\u0435\u0433\u043e \u043b\u0438\u0448\u044c \u0444\u0430\u043d, \u043d\u043e \u0432\u044b\u0433\u043b\u044f\u0434\u0438\u0442 \u043e\u0447\u0435\u043d\u044c \u043a\u0440\u0443\u0442\u043e.               <\/p>\n<div class=\"clear\"><\/div>\n<p> \u0441\u0441\u044b\u043b\u043a\u0430 \u043d\u0430 \u043e\u0440\u0438\u0433\u0438\u043d\u0430\u043b \u0441\u0442\u0430\u0442\u044c\u0438 <a href=\"https:\/\/geektimes.ru\/post\/274178\/\"> https:\/\/geektimes.ru\/post\/274178\/<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>       \u0427\u0435\u043c\u0443 \u0431\u0443\u0434\u0435\u0442 \u0432 \u0438\u0442\u043e\u0433\u0435 \u0440\u0430\u0432\u043d\u044f\u0442\u044c\u0441\u044f \u0447\u0438\u0441\u043b\u043e, \u0435\u0441\u043b\u0438 \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e \u0441\u043a\u043b\u0430\u0434\u044b\u0432\u0430\u0442\u044c \u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u044b\u0435 \u0447\u0438\u0441\u043b\u0430? \u041e\u0447\u0435\u0432\u0438\u0434\u043d\u043e, \u0447\u0442\u043e \u0431\u0435\u0441\u043a\u043e\u043d\u0435\u0447\u043d\u043e\u0441\u0442\u0438 \u0438\u043b\u0438\u2026<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-278116","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/posts\/278116","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=278116"}],"version-history":[{"count":0,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/posts\/278116\/revisions"}],"wp:attachment":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=278116"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=278116"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=278116"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}