{"id":10557,"date":"2025-07-21T11:20:01","date_gmt":"2025-07-21T02:20:01","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?p=10557"},"modified":"2025-07-22T10:57:15","modified_gmt":"2025-07-22T01:57:15","slug":"%e9%96%89%e6%9b%b2%e9%9d%a2%e4%b8%8a%e3%81%ae%e9%9d%a2%e7%a9%8d%e5%88%86%e3%81%ae-latex-%e8%a1%a8%e8%a8%98","status":"publish","type":"post","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/10557\/","title":{"rendered":"\u9589\u66f2\u9762\u4e0a\u306e\u307e\u308b\u3063\u3068\u9762\u7a4d\u5206\u306e LaTeX \u8868\u8a18"},"content":{"rendered":"<ul>\n<li>\u53c2\u8003\uff1a<a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e9%9b%bb%e7%a3%81%e6%b0%97%e5%ad%a6-i\/%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e5%a0%b4%e3%81%ae%e7%a9%8d%e5%88%86\/%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e5%a0%b4%e3%81%ae%e5%be%ae%e5%88%86%e3%81%ae%e6%81%92%e7%ad%89%e5%bc%8f%e3%81%ae%e7%a9%8d%e5%88%86%e3%81%a8%e6%b7%b7%e4%b9%b1%e3%81%ae%e6%ad%a3%e3%81%97%e6%96%b9\/\">\u30d9\u30af\u30c8\u30eb\u5834\u306e\u5fae\u5206\u306e\u6052\u7b49\u5f0f\u306e\u7a4d\u5206\u3068\u6df7\u4e71\u306e\u6b63\u3057\u65b9<\/a><\/li>\n<\/ul>\n<p><!--more--><\/p>\n<h3>\u7dda\u7a4d\u5206\u3068\u9589\u66f2\u7dda\u4e0a\u306e1\u5468\u3050\u308b\u3063\u3068\u7dda\u7a4d\u5206\u306e\u66f8\u304d\u5206\u3051<\/h3>\n<p>\u30d9\u30af\u30c8\u30eb\u5834 $\\boldsymbol{a}$ \u3092\uff08\u66f2\u7dda $C$ \u306b\u6cbf\u3063\u3066\uff09$\\boldsymbol{r} = \\boldsymbol{r}_1$ \u304b\u3089 $\\boldsymbol{r} = \\boldsymbol{r}_2$ \u307e\u3067\u7dda\u7a4d\u5206\u3059\u308b\u306e\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u66f8\u304f\uff1a<\/p>\n<p>$$\\int_{\\boldsymbol{r}_1}^{\\boldsymbol{r}_2}\\ \\boldsymbol{a}\\cdot d\\boldsymbol{r}$$<\/p>\n<p>\u7279\u306b\uff0c\u9589\u66f2\u7dda $C$ \u306b\u6cbf\u3063\u30661\u5468\u3050\u308b\u3063\u3068\u7dda\u7a4d\u5206\u3059\u308b\u5834\u5408\u306b\u306f <code>\\oint<\/code> \u3092\u4f7f\u3063\u3066\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u66f8\u304d\u5206\u3051\u308b\uff1a<\/p>\n<p>$$\\oint_C\\ \\boldsymbol{a}\\cdot d\\boldsymbol{r}$$<\/p>\n<h3>\u9762\u7a4d\u5206\u3068\u9589\u66f2\u9762\u4e0a\u306e\u307e\u308b\u3063\u3068\u9762\u7a4d\u5206\u306e\u66f8\u304d\u5206\u3051<\/h3>\n<p>\uff08\u958b\uff09\u66f2\u9762 $S$ \u4e0a\u306e\u9762\u7a4d\u5206\uff082\u91cd\u7a4d\u5206\uff09\u306f <code>\\iint<\/code> \u3092\u4f7f\u3063\u3066\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u66f8\u304f\uff1a<\/p>\n<p>$$\\iint_S\\ f(\\boldsymbol{r})\\, dS$$<\/p>\n<p>\u7dda\u7a4d\u5206\u306e\u5834\u5408\u3068\u540c\u69d8\u306b\uff0c\u9762\u7a4d\u5206\u306e\u5834\u5408\u3082\u9589\u66f2\u9762\u4e0a\u306e\u307e\u308b\u3063\u3068\u9762\u7a4d\u5206\u3092\u66f8\u304d\u5206\u3051\u305f\u3089\u3069\u3046\u304b\uff0c\u3068\u3044\u3046\u8a71\u3002\u305d\u3046\u3044\u3046\u9700\u8981\u306f\u3042\u308b\u306e\u3067\uff0c$\\LaTeX$ \u306b\u306f <code>esint<\/code> \u30d1\u30c3\u30b1\u30fc\u30b8\u3068\u3044\u3046\u306e\u304c\u3042\u308b\u3002<\/p>\n<p>\u4ee5\u4e0b\u306f\u305d\u306e\u4f7f\u7528\u4f8b\u3002WordPress \u4e0a\u3067 Mathjax \u3059\u308b\u5834\u5408\u306a\u3069\uff0c<code>\\usepackage{esint}<\/code> \u3067\u304d\u306a\u3044\u3053\u3068\u3082\u3042\u308b\u3060\u308d\u3046\u304b\u3089\uff0c<code>\\oiint<\/code> \u3082\u3069\u304d\u3092\u81ea\u4f5c\u3059\u308b\u4f8b\u3082\u3084\u3063\u3066\u307f\u305f\u3002<\/p>\n<h4>LaTeX \u30d5\u30a1\u30a4\u30eb<\/h4>\n<p>\u8a66\u884c\u932f\u8aa4\u3067 <code>\\def\\myoiint{\\int\\!\\!\\!\\!\\!\\!\\bigcirc\\!\\!\\!\\!\\!\\!\\int}<\/code> \u3068\u5b9a\u7fa9\u3057\u3066\u307f\u305f\u3002<\/p>\n<pre>\\documentclass[25pt,slide,papersize]{jsarticle}\r\n\\usepackage{amsmath} % \\boldsymbol \u3092\u4f7f\u3046\r\n\r\n% esint \u3067\u5b9a\u7fa9\u3055\u308c\u308b \\oiint \u3092\u4f7f\u3046\u5834\u5408\r\n\\usepackage{esint}\r\n% \u81ea\u529b\u3067\u5b9a\u7fa9\u3059\u308b\u5834\u5408\r\n\\def\\myoiint{\\int\\!\\!\\!\\!\\!\\!\\bigcirc\\!\\!\\!\\!\\!\\!\\int}\r\n\r\n\\begin{document}\r\n\\section*{\u66f2\u9762\u4e0a\u306e\u9762\u7a4d\u5206\u3068\u9589\u66f2\u9762\u4e0a\u306e\u9762\u7a4d\u5206\u306e\u66f8\u304d\u5206\u3051}\r\n\r\n\u66f2\u9762\u4e0a\u306e\u9762\u7a4d\u5206 \\verb|\\iint| \u306e\u4f7f\u7528\u4f8b\r\n\\[\r\n\\iint_S \\ \\boldsymbol{a}\\cdot\\boldsymbol{n}\\, dS\r\n\\]\r\n\r\n\u9589\u66f2\u9762\u4e0a\u306e\u9762\u7a4d\u5206 \\verb|\\oiint| \u306e\u4f7f\u7528\u4f8b\r\n\\[\r\n\\oiint_S\\ \\boldsymbol{a}\\cdot\\boldsymbol{n}\\, dS\r\n\\]\r\n\r\n\u3082\u3046\u4e00\u3064\u306e\u9589\u66f2\u9762\u4e0a\u306e\u9762\u7a4d\u5206 \\verb|\\varoiint| \u306e\u4f7f\u7528\u4f8b\r\n\\[\r\n\\varoiint_S\\ \\boldsymbol{a}\\cdot\\boldsymbol{n}\\, dS\r\n\\]\r\n\r\n\u81ea\u529b\u3067\u5b9a\u7fa9\u3057\u305f \\verb|\\myoiint| \u306e\u4f7f\u7528\u4f8b\r\n\\[\r\n\\myoiint_S \\ \\boldsymbol{a}\\cdot\\boldsymbol{n}\\, dS\r\n\\]\r\n\\end{document}<\/pre>\n<h4>\u51fa\u6765\u4e0a\u304c\u308a pdf<\/h4>\n<a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-content\/uploads\/sites\/76\/esint2.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\"  data-toolbar=\"bottom\" data-toolbar-fixed=\"on\">esint2<br\/><\/a>\n","protected":false},"excerpt":{"rendered":"<ul>\n<li>\u53c2\u8003\uff1a\u30d9\u30af\u30c8\u30eb\u5834\u306e\u5fae\u5206\u306e\u6052\u7b49\u5f0f\u306e\u7a4d\u5206\u3068\u6df7\u4e71\u306e\u6b63\u3057\u65b9<\/li>\n<\/ul>\n","protected":false},"author":33,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[26],"tags":[],"class_list":["post-10557","post","type-post","status-publish","format-standard","hentry","category-latex","nodate","item-wrap"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/10557","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/comments?post=10557"}],"version-history":[{"count":13,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/10557\/revisions"}],"predecessor-version":[{"id":10572,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/10557\/revisions\/10572"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=10557"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/categories?post=10557"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/tags?post=10557"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}