{"id":209278,"date":"2014-01-16T11:58:02","date_gmt":"2014-01-16T07:58:02","guid":{"rendered":"http:\/\/savepearlharbor.com\/?p=209278"},"modified":"-0001-11-30T00:00:00","modified_gmt":"-0001-11-29T21:00:00","slug":"","status":"publish","type":"post","link":"https:\/\/savepearlharbor.com\/?p=209278","title":{"rendered":"<span class=\"post_title\">\u0421\u0430\u043c\u044b\u0439 \u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u044b\u0439 \u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c<\/span>"},"content":{"rendered":"<div class=\"content html_format\"> \t\t\t\u0412\u0434\u043e\u0445\u043d\u043e\u0432\u0438\u0432\u0448\u0438\u0441\u044c <a href=\"http:\/\/habrahabr.ru\/post\/209244\/\">\u043f\u043e\u0441\u0442\u043e\u043c \u043f\u0440\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0435 pi<\/a>, \u0440\u0435\u0448\u0438\u043b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c \u0447\u0438\u0441\u043b\u043e e. \u041f\u043e \u043f\u0443\u0442\u0438 \u043f\u043e\u043b\u0443\u0447\u0438\u043b\u0430\u0441\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c\u0430.<\/p>\n<p>  <img decoding=\"async\" src=\"http:\/\/habr.habrastorage.org\/post_images\/b3e\/473\/640\/b3e473640a203e35bf870ce6878cb194.png\" alt=\"image\"\/><br \/>  <a name=\"habracut\"><\/a><br \/>  \u0421\u043e\u0431\u0441\u0442\u0432\u0435\u043d\u043d\u043e,<\/p>\n<pre><code class=\"cpp\">#include &lt;iostream&gt;  #define I r= #define l ; #define o #define x if(1+(d*2)*(1\/(__*2))&lt;=k)d++; #define e p+=d;d=1; #define h _++; #define s __++;  double ln(double k){double p=0,n,y,r,d, _=0,__=0; I 3.30 l o o o o o o I 3.25 l o o o o o o I 3.20 l o o o o o o I 3.15 l o o o o o o I 3.10 l o o o o o o I 3.05 l o o o o o o I 3.00 l o o o o o o I 2.95 l o o o o o o I 2.90 l o o o o o o I 2.85 l o o o o o o I 2.80 l o o o o o o I 2.75 l o o o o o o o I 2.70 l o o o o o o o I 2.65 l o o o o o o o I 2.60 l o o o o o o o  I 2.55 l o o o o o o o I 2.50 l o o o o o o o I 2.45 l o o o o o o o I 2.40 l o o o o o o o o I 2.35 l o o o o o o o o  I 2.30 l o o o o o o o o I 2.25 l o o o o o o o o I 2.20 l o o o o o o o o I 2.15 l o o o o o o o o I 2.10 l o o o o o o o o I 2.05 l o o o o o o o o I 2.00 l o o o o o o o o I 1.95 l o o o o o o o o o I 1.90 l o o o o o o o o o I 1.85 l o o o o o o o o o I 1.80 l o o o o o o o o o I 1.75 l o o o o o o o o o I 1.70 l o o o o o o o o o  I 1.65 l o o o o o o o o o I 1.60 l o o o o o o o o o I 1.55 l o o o o o o o o o o I 1.50 l o o o o o o o o o o I 1.45 l o o o o o o o o o o I 1.40 l o o o o o o o o o o I 1.35 l o o o o o o o o o o o I 1.30 l o o o o o o o o o o o I 1.25 l o o o o o o o o o o o I 1.20 l o o o o o o o o o o o o I 1.15 l o o o o o o o o o o o o I 1.10 l o o o o o o o o o o o o I 1.05 l o o s s s s s s s s s s o I 1.00 l o o h h h h h h h h h h  o I 0.95 l o o h h h h h h h h h h e o I 0.90 l o o h h h h h h h h h h e  o I 0.85 l o o h h h h h h h h h h e x o I 0.80 l o o h h h h h h h h h h e x x o I 0.75 l o o h h h h h h h h h h e x x x o I 0.70 l o o h h h h h h h h h h e x x x x o I 0.65 l o o h h h h h h h h h h e x x x x x o I 0.60 l o o h h h h h h h h h h e x x x x x x o I 0.55 l o o h h h h h h h h h h e x x x x x x x x o I 0.50 l o o h h h h h h h h h h e x x x x x x x x x x o I 0.45 l o o h h h h h h h h h h e x x x x x x x x x x x x x x o I 0.40 l o o h h h h h h h h h h e x x x x x x x x x x x x x x x x x o I 0.35 l o o h h h h h h h h h h e x x x x x x x x x x x x x x x x x x x x x x o I 0.30 l o o h h h h h h h h h h e x x x x x x x x x x x x x x x x x x x x x x x x x x x o I 0.25 l o o h h h h h h h h h h e x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x o I 0.20 l o o h h h h h h h h h h e x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x o I 0.15 l o o h h h h h h h h h h e x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x I 0.10 l o o h h h h h h h h h h e x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x e return p\/_; \/\/          0                   +1                   +2                   +3                   +4                   +5                       } <\/code><\/pre>\n<p>  \u041f\u0440\u0438\u043d\u0446\u0438\u043f \u043f\u0440\u043e\u0441\u0442 \u2014 \u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u044b\u0439 \u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c \u043e\u0442 a \u0435\u0441\u0442\u044c \u043f\u043b\u043e\u0449\u0430\u0434\u044c \u043f\u043e\u0434 \u0433\u0440\u0430\u0444\u0438\u043a\u043e\u043c 1\/x \u043e\u0442 \u0435\u0434\u0438\u043d\u0438\u0446\u044b \u0434\u043e a.<\/p>\n<p>  <img decoding=\"async\" src=\"http:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/d\/d6\/Log-pole-x_1.svg\/601px-Log-pole-x_1.svg.png\" alt=\"image\"\/><\/p>\n<p>  \u0421\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0435\u043d\u043d\u043e, \u0447\u0435\u043c \u0442\u043e\u0447\u043d\u0435\u0435 \u043d\u0430\u0440\u0438\u0441\u043e\u0432\u0430\u043d \u0433\u0440\u0430\u0444\u0438\u043a, \u0442\u0435\u043c \u0442\u043e\u0447\u043d\u0435\u0435 \u0431\u0443\u0434\u0443\u0442 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u044f. \u041d\u0435\u043c\u043d\u043e\u0433\u043e \u043e \u043f\u043e\u0441\u0442\u0440\u043e\u0435\u043d\u0438\u0438 \u0433\u0440\u0430\u0444\u0438\u043a\u0430. \u0421\u0438\u043c\u0432\u043e\u043b\u0430\u043c\u0438 s \u043e\u0431\u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442\u0441\u044f \u0435\u0434\u0438\u043d\u0438\u0447\u043d\u044b\u0439 \u043e\u0442\u0440\u0435\u0437\u043e\u043a, h \u2014 \u043a\u0432\u0430\u0434\u0440\u0430\u0442 \u0435\u0434\u0438\u043d\u0438\u0447\u043d\u043e\u0439 \u043f\u043b\u043e\u0449\u0430\u0434\u0438, e \u2014 \u0444\u0443\u043d\u043a\u0446\u0438\u044f x=1, x \u2014 \u043f\u043b\u043e\u0449\u0430\u0434\u044c \u043f\u043e\u0434 \u0433\u0440\u0430\u0444\u0438\u043a\u043e\u043c 1\/x \u043d\u0430 \u043e\u0442\u0440\u0435\u0437\u043a\u0435 (1, +inf).<br \/>  \u0418\u043c\u0435\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c\u0430 \u0438 \u0437\u043d\u0430\u044f, \u0447\u0442\u043e ln(e)=1 \u043d\u0430\u0439\u0442\u0438 \u0442\u0435\u043f\u0435\u0440\u044c e \u043f\u0435\u0440\u0435\u0431\u043e\u0440\u043e\u043c \u043d\u0435 \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0442\u0440\u0443\u0434\u0430.<\/p>\n<pre><code class=\"cpp\">for(double i = 0; i &lt;= 3; i += 0.01) { \tif (ln(i) &gt; 0.98) \t{ \t\tstd::cout &lt;&lt; i &lt;&lt; std::endl; \t\tbreak; \t} <\/code><\/pre>\n<p>  \u041d\u0435\u043a\u043e\u0442\u043e\u0440\u044b\u0435 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b:<\/p>\n<table>\n<tr>\n<td><b>\u0412\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435<\/b><\/td>\n<td><b>\u0417\u043d\u0430\u0447\u0435\u043d\u0438\u0435<\/b><\/td>\n<td><b>\u0418\u0441\u0442\u0438\u043d\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435<\/b><\/td>\n<\/tr>\n<tr>\n<td>ln(2)<\/td>\n<td>0.721053<\/td>\n<td>0.69315<\/td>\n<\/tr>\n<tr>\n<td>ln(2.7)<\/td>\n<td>1<\/td>\n<td>0.99325<\/td>\n<\/tr>\n<tr>\n<td>ln(3)<\/td>\n<td>1.09474<\/td>\n<td>1.09861<\/td>\n<\/tr>\n<tr>\n<td>ln(4)<\/td>\n<td>1.35263<\/td>\n<td>1.38629<\/td>\n<\/tr>\n<tr>\n<td>ln(5)<\/td>\n<td>1.54211<\/td>\n<td>1.60943<\/td>\n<\/tr>\n<tr>\n<td>e<\/td>\n<td>2.718281828<\/td>\n<td>2.7<\/td>\n<\/tr>\n<\/table>\n<p>  <a href=\"http:\/\/pastebin.com\/qLKxFthH\">\u0421\u0441\u044b\u043b\u043a\u0430<\/a> \u043d\u0430 \u043f\u043e\u043b\u043d\u044b\u0439 \u043a\u043e\u0434. \t\t\t<\/p>\n<div class=\"clear\"><\/div>\n<\/p><\/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=\"http:\/\/habrahabr.ru\/post\/209278\/\"> http:\/\/habrahabr.ru\/post\/209278\/<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<div class=\"content html_format\"> \t\t\t\u0412\u0434\u043e\u0445\u043d\u043e\u0432\u0438\u0432\u0448\u0438\u0441\u044c <a href=\"http:\/\/habrahabr.ru\/post\/209244\/\">\u043f\u043e\u0441\u0442\u043e\u043c \u043f\u0440\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0435 pi<\/a>, \u0440\u0435\u0448\u0438\u043b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043f\u043e\u0434\u043e\u0431\u043d\u044b\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c \u0447\u0438\u0441\u043b\u043e e. \u041f\u043e \u043f\u0443\u0442\u0438 \u043f\u043e\u043b\u0443\u0447\u0438\u043b\u0430\u0441\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043d\u0430\u0442\u0443\u0440\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043b\u043e\u0433\u0430\u0440\u0438\u0444\u043c\u0430.<\/p>\n<p>  <img decoding=\"async\" src=\"http:\/\/habr.habrastorage.org\/post_images\/b3e\/473\/640\/b3e473640a203e35bf870ce6878cb194.png\" alt=\"image\"\/>  <\/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-209278","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/posts\/209278","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=209278"}],"version-history":[{"count":0,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=\/wp\/v2\/posts\/209278\/revisions"}],"wp:attachment":[{"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=209278"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=209278"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/savepearlharbor.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=209278"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}