{"id":343,"date":"2012-06-16T11:24:18","date_gmt":"2012-06-16T11:24:18","guid":{"rendered":"http:\/\/sxkdz.0ginr.com\/blog\/?p=343"},"modified":"2012-06-16T11:40:00","modified_gmt":"2012-06-16T11:40:00","slug":"latex%e6%b5%8b%e8%af%95","status":"publish","type":"post","link":"https:\/\/sxkdz.0ginr.com\/blog\/?p=343","title":{"rendered":"LaTEX\u6d4b\u8bd5"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sxkdz.0ginr.com\/blog\/wp-content\/ql-cache\/quicklatex.com-8481678257f852803dc8edfc7300e6fa_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#102;&#40;&#32;&#120;&#32;&#41;&#32;&#61;&#123;&#32;&#120;&#32;&#125;&#94;&#123;&#32;&#50;&#32;&#125;&#43;&#50;&#120;&#43;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"85\" style=\"vertical-align: -3px;\"\/><br \/>\n\u6ee1\u8db3<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sxkdz.0ginr.com\/blog\/wp-content\/ql-cache\/quicklatex.com-86981eb14294369fe6abf6660f09df36_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#92;&#108;&#101;&#102;&#116;&#92;&#123;&#32;&#123;&#32;&#120;&#32;&#125;&#94;&#123;&#32;&#50;&#32;&#125;&#43;&#50;&#120;&#121;&#43;&#49;&#65292;&#92;&#92;&#32;&#123;&#32;&#121;&#32;&#125;&#94;&#123;&#32;&#50;&#32;&#125;&#43;&#50;&#120;&#121;&#43;&#50;&#32;&#92;&#114;&#105;&#103;&#104;&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"120\" style=\"vertical-align: -4px;\"\/> \u7684\u89e3\u662f<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sxkdz.0ginr.com\/blog\/wp-content\/ql-cache\/quicklatex.com-de63f0bd0a7337f01a065ca625f1db25_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#92;&#108;&#101;&#102;&#116;&#92;&#123;&#32;&#120;&#61;&#65292;&#92;&#92;&#32;&#121;&#61;&#32;&#92;&#114;&#105;&#103;&#104;&#116;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"41\" style=\"vertical-align: -3px;\"\/> \uff1f<\/p>\n<p>At first, we sample <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sxkdz.0ginr.com\/blog\/wp-content\/ql-cache\/quicklatex.com-fbdae2ba02a09ba3313287cad3f2452b_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#102;&#40;&#120;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"19\" style=\"vertical-align: -3px;\"\/> in the <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sxkdz.0ginr.com\/blog\/wp-content\/ql-cache\/quicklatex.com-68d79c6990c57f611b7ba744882cfb1b_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#78;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/> (<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sxkdz.0ginr.com\/blog\/wp-content\/ql-cache\/quicklatex.com-68d79c6990c57f611b7ba744882cfb1b_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#78;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/> is odd) equidistant points around <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sxkdz.0ginr.com\/blog\/wp-content\/ql-cache\/quicklatex.com-c5f2391ac8245d06e641216d9475a8ca_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#120;&#94;&#42;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"\/>:<\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 22px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sxkdz.0ginr.com\/blog\/wp-content\/ql-cache\/quicklatex.com-30ba7f02df928cccb5c18e2d3a39620b_l3.png\" height=\"22\" width=\"230\" class=\"ql-img-displayed-equation \" 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>\n<p>where <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sxkdz.0ginr.com\/blog\/wp-content\/ql-cache\/quicklatex.com-a6dcdac98a8e3b869247162a699d5c8d_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#104;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"6\" style=\"vertical-align: 0px;\"\/> is some step.<br \/>\nThen we interpolate points <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sxkdz.0ginr.com\/blog\/wp-content\/ql-cache\/quicklatex.com-1badb68a5fcbe0c5ea1e276ac0ec5376_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#92;&#123;&#40;&#120;&#95;&#107;&#44;&#102;&#95;&#107;&#41;&#92;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"43\" style=\"vertical-align: -3px;\"\/> by polynomial<br \/>\n<a name=\"id957770248\"><\/a><\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 33px;\"><span class=\"ql-right-eqno\"> (1) <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sxkdz.0ginr.com\/blog\/wp-content\/ql-cache\/quicklatex.com-302e3670e3eb976251426762a8336a41_l3.png\" height=\"33\" width=\"91\" class=\"ql-img-displayed-equation \" 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>\n<p>Its coefficients <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sxkdz.0ginr.com\/blog\/wp-content\/ql-cache\/quicklatex.com-5cf43482c1b128c31c4372a81bee4256_l3.png\" class=\"ql-img-inline-formula \" alt=\"&#92;&#123;&#97;&#95;&#106;&#92;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"20\" style=\"vertical-align: -4px;\"\/> are found as a solution of system of linear equations:<br \/>\n<a name=\"id1038232777\"><\/a><\/p>\n<p class=\"ql-center-displayed-equation\" style=\"line-height: 21px;\"><span class=\"ql-right-eqno\"> (2) <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sxkdz.0ginr.com\/blog\/wp-content\/ql-cache\/quicklatex.com-d5d456a1e39bc58b71c160402017ae08_l3.png\" height=\"21\" width=\"202\" class=\"ql-img-displayed-equation \" 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>\n<p>Here are references to existing equations: (<a href=\"#id957770248\">1<\/a>), (<a href=\"#id1038232777\">2<\/a>).<br \/>\nHere is reference to non-existing equation (??).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6ee1\u8db3 \u7684\u89e3\u662f \uff1f 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 is reference [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-343","post","type-post","status-publish","format-standard","hentry","category-1"],"_links":{"self":[{"href":"https:\/\/sxkdz.0ginr.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/343","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sxkdz.0ginr.com\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sxkdz.0ginr.com\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sxkdz.0ginr.com\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/sxkdz.0ginr.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=343"}],"version-history":[{"count":5,"href":"https:\/\/sxkdz.0ginr.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/343\/revisions"}],"predecessor-version":[{"id":346,"href":"https:\/\/sxkdz.0ginr.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/343\/revisions\/346"}],"wp:attachment":[{"href":"https:\/\/sxkdz.0ginr.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=343"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sxkdz.0ginr.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=343"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sxkdz.0ginr.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=343"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}