{"id":418,"date":"2014-01-19T22:37:56","date_gmt":"2014-01-19T21:37:56","guid":{"rendered":"http:\/\/smal.ws\/wp\/?p=418"},"modified":"2014-01-19T22:38:28","modified_gmt":"2014-01-19T21:38:28","slug":"test-of-latex","status":"publish","type":"post","link":"https:\/\/smal.ws\/wp\/test-of-latex\/","title":{"rendered":"Test of Latex"},"content":{"rendered":"<p><br \/>\nAt first, we sample <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/smal.ws\/wp\/wp-content\/ql-cache\/quicklatex.com-a7ee323bc5a3f73ad5e066b13bed5504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#102;&#40;&#120;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"34\" style=\"vertical-align: -4px;\"\/> in the <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/smal.ws\/wp\/wp-content\/ql-cache\/quicklatex.com-5793832f979c2268e3694c246d53b1bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#78;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"\/> (<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/smal.ws\/wp\/wp-content\/ql-cache\/quicklatex.com-5793832f979c2268e3694c246d53b1bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#78;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"\/> is odd) equidistant points around <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/smal.ws\/wp\/wp-content\/ql-cache\/quicklatex.com-c674b8a19afef366cde8b4327cf616a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#94;&#42;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"16\" style=\"vertical-align: 0px;\"\/>:<br \/>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 37px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/smal.ws\/wp\/wp-content\/ql-cache\/quicklatex.com-ae59752277f21977b38c52f9bafed988_l3.png\" height=\"37\" width=\"394\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91; &#102;&#95;&#107;&#32;&#61;&#32;&#102;&#40;&#120;&#95;&#107;&#41;&#44;&#92;&#58;&#32;&#120;&#95;&#107;&#32;&#61;&#32;&#120;&#94;&#42;&#43;&#107;&#104;&#44;&#92;&#58;&#32;&#107;&#61;&#45;&#92;&#102;&#114;&#97;&#99;&#123;&#78;&#45;&#49;&#125;&#123;&#50;&#125;&#44;&#92;&#100;&#111;&#116;&#115;&#44;&#92;&#102;&#114;&#97;&#99;&#123;&#78;&#45;&#49;&#125;&#123;&#50;&#125; &#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><br \/>\nwhere <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/smal.ws\/wp\/wp-content\/ql-cache\/quicklatex.com-14b463d0ecd5b350ced6cf1d6a12eef3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#104;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"10\" style=\"vertical-align: 0px;\"\/> is some step.<br \/>\nThen we interpolate points <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/smal.ws\/wp\/wp-content\/ql-cache\/quicklatex.com-7533d26ee3d041fdec0e7003402fd17c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#123;&#40;&#120;&#95;&#107;&#44;&#102;&#95;&#107;&#41;&#92;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"73\" style=\"vertical-align: -5px;\"\/> by polynomial<br \/>\n<a name=\"id1256572768\"><\/a><p class=\"ql-center-displayed-equation\" style=\"line-height: 55px;\"><span class=\"ql-right-eqno\"> (1) <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/smal.ws\/wp\/wp-content\/ql-cache\/quicklatex.com-523f7a41be3c8d220349a2242f533a56_l3.png\" height=\"55\" width=\"155\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#101;&#113;&#117;&#97;&#116;&#105;&#111;&#110;&#42;&#125;&#32; &#80;&#95;&#123;&#78;&#45;&#49;&#125;&#40;&#120;&#41;&#61;&#92;&#115;&#117;&#109;&#95;&#123;&#106;&#61;&#48;&#125;&#94;&#123;&#78;&#45;&#49;&#125;&#123;&#97;&#95;&#106;&#120;&#94;&#106;&#125; &#92;&#101;&#110;&#100;&#123;&#101;&#113;&#117;&#97;&#116;&#105;&#111;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><br \/>\nIts coefficients <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/smal.ws\/wp\/wp-content\/ql-cache\/quicklatex.com-128db25d35cf9e1dea1551c952f93243_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#123;&#97;&#95;&#106;&#92;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"32\" style=\"vertical-align: -6px;\"\/> are found as a solution of system of linear equations:<br \/>\n<a name=\"id1849440091\"><\/a><p class=\"ql-center-displayed-equation\" style=\"line-height: 37px;\"><span class=\"ql-right-eqno\"> (2) <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/smal.ws\/wp\/wp-content\/ql-cache\/quicklatex.com-ad8ff97c7c5ac2a26ca9c692a2902957_l3.png\" height=\"37\" width=\"347\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#101;&#113;&#117;&#97;&#116;&#105;&#111;&#110;&#42;&#125;&#32; &#92;&#108;&#101;&#102;&#116;&#92;&#123;&#32;&#80;&#95;&#123;&#78;&#45;&#49;&#125;&#40;&#120;&#95;&#107;&#41;&#32;&#61;&#32;&#102;&#95;&#107;&#92;&#114;&#105;&#103;&#104;&#116;&#92;&#125;&#44;&#92;&#113;&#117;&#97;&#100;&#32;&#107;&#61;&#45;&#92;&#102;&#114;&#97;&#99;&#123;&#78;&#45;&#49;&#125;&#123;&#50;&#125;&#44;&#92;&#100;&#111;&#116;&#115;&#44;&#92;&#102;&#114;&#97;&#99;&#123;&#78;&#45;&#49;&#125;&#123;&#50;&#125; &#92;&#101;&#110;&#100;&#123;&#101;&#113;&#117;&#97;&#116;&#105;&#111;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p><br \/>\nHere are references to existing equations: (<a href=\"#id1256572768\">1<\/a>), (<a href=\"#id1849440091\">2<\/a>).<br \/>\nHere is reference to non-existing equation (??).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>At first, we sample in the ( is odd) equidistant points around : &nbsp; &nbsp; where is some step. Then we interpolate points by polynomial (1) &nbsp; Its coefficients are found as a solution of system of linear equations: (2) &nbsp; Here are references to existing equations: (1), (2). Here &#8230;<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-418","post","type-post","status-publish","format-standard","hentry","category-uncategorized","column","onecol"],"_links":{"self":[{"href":"https:\/\/smal.ws\/wp\/wp-json\/wp\/v2\/posts\/418","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/smal.ws\/wp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/smal.ws\/wp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/smal.ws\/wp\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/smal.ws\/wp\/wp-json\/wp\/v2\/comments?post=418"}],"version-history":[{"count":1,"href":"https:\/\/smal.ws\/wp\/wp-json\/wp\/v2\/posts\/418\/revisions"}],"predecessor-version":[{"id":419,"href":"https:\/\/smal.ws\/wp\/wp-json\/wp\/v2\/posts\/418\/revisions\/419"}],"wp:attachment":[{"href":"https:\/\/smal.ws\/wp\/wp-json\/wp\/v2\/media?parent=418"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/smal.ws\/wp\/wp-json\/wp\/v2\/categories?post=418"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/smal.ws\/wp\/wp-json\/wp\/v2\/tags?post=418"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}