{"id":213,"date":"2021-11-16T10:01:03","date_gmt":"2021-11-16T02:01:03","guid":{"rendered":"https:\/\/scutvk.cn\/?p=213"},"modified":"2021-11-16T14:10:31","modified_gmt":"2021-11-16T06:10:31","slug":"matlab%e5%9f%ba%e7%a1%80%e6%93%8d%e4%bd%9c%e7%ac%94%e8%ae%b02","status":"publish","type":"post","link":"https:\/\/scutvk.cn\/?p=213","title":{"rendered":"Matlab\u57fa\u7840\u64cd\u4f5c\u7b14\u8bb0[2]-sym()\u3001vpa()\u3001int()"},"content":{"rendered":"\n<p class=\"has-medium-font-size\"><strong>sym()<\/strong><\/p>\n\n\n\n<p>\u200e\u521b\u5efa\u7b26\u53f7\u53d8\u91cf\u3001\u8868\u8fbe\u5f0f\u3001\u529f\u80fd\u3001\u77e9\u9635\u200e<\/p>\n\n\n\n<p>sym()\u8bb2 \u7b26\u53f7\u53d8\u91cf\u3001\u8868\u8fbe\u5f0f\u3001\u529f\u80fd\u3001\u77e9\u9635\u200e \u4ee5\u6570\u5b66\u5f62\u5f0f\u521b\u5efa\u53d8\u91cf\u3002<\/p>\n\n\n\n<p>\u793a\u4f8b\u5982\u4e0b\uff1a\uff08\u622a\u53d6\u81ea<a href=\"https:\/\/ww2.mathworks.cn\/help\/symbolic\/sym.html?searchHighlight=sym&amp;s_tid=srchtitle_sym_1\" target=\"_blank\" rel=\"noopener\">Create symbolic variables, expressions, functions, matrices &#8211; MATLAB sym &#8211; MathWorks \u4e2d\u56fd<\/a>\uff09<\/p>\n\n\n\n<p><strong>\u200e\u521b\u5efa\u7b26\u53f7\u53d8\u91cf\u200e<\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"455\" height=\"582\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/11\/image-3.png\" alt=\"\" class=\"wp-image-214\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-3.png 455w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-3-235x300.png 235w\" sizes=\"(max-width: 455px) 100vw, 455px\" \/><figcaption>\u56fe1<\/figcaption><\/figure><\/div>\n\n\n\n<p><strong>\u200e\u521b\u5efa\u7b26\u53f7\u77e2\u91cf\u200e<\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"1024\" height=\"716\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/11\/image-4-1024x716.png\" alt=\"\" class=\"wp-image-215\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-4-1024x716.png 1024w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-4-300x210.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-4-768x537.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-4-1536x1073.png 1536w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-4-769x537.png 769w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-4.png 1667w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption>\u56fe2<\/figcaption><\/figure><\/div>\n\n\n\n<p><strong>\u200e\u521b\u5efa\u7b26\u53f7\u77e9\u9635\u200e<\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"1024\" height=\"516\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/11\/image-5-1024x516.png\" alt=\"\" class=\"wp-image-216\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-5-1024x516.png 1024w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-5-300x151.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-5-768x387.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-5-1536x773.png 1536w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-5-769x387.png 769w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-5.png 1710w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption>\u56fe3<\/figcaption><\/figure><\/div>\n\n\n\n<p><strong>\u200e\u521b\u5efa\u7b26\u53f7\u591a\u7ef4\u9635\u5217\u200e<\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"1024\" height=\"385\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/11\/image-6-1024x385.png\" alt=\"\" class=\"wp-image-217\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-6-1024x385.png 1024w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-6-300x113.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-6-768x288.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-6-1536x577.png 1536w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-6-769x289.png 769w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-6.png 1712w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption>\u56fe4<\/figcaption><\/figure><\/div>\n\n\n\n<p><strong>\u200e\u521b\u5efa\u7b26\u53f7\u6570\u5b57\u200e<\/strong><\/p>\n\n\n\n<p>\u200e\u5c06\u6570\u5b57\u503c\u8f6c\u6362\u4e3a\u7b26\u53f7\u6570\u5b57\u6216\u8868\u793a\u5f0f\u3002\u7528\u4e8e\u6b21\u8868\u8fbe\uff0c\u800c\u4e0d\u662f\u6574\u4e2a\u8868\u8fbe\uff0c\u4ee5\u83b7\u5f97\u66f4\u597d\u7684\u51c6\u786e\u6027\u3002\u5728\u6574\u4e2a\u8868\u8fbe\u5f0f\u4e0a\u4f7f\u7528\u662f\u4e0d\u51c6\u786e\u7684\uff0c\u56e0\u4e3a MATLAB \u9996\u5148\u5c06\u8868\u8fbe\u65b9\u5f0f\u8f6c\u6362\u4e3a\u6d6e\u52a8\u70b9\u6570\u5b57\uff0c\u4ece\u800c\u5931\u53bb\u51c6\u786e\u6027\u3002 \u4e0d\u80fd\u603b\u662f\u6062\u590d\u8fd9\u79cd\u4e22\u5931\u7684\u51c6\u786e\u6027\u3002<\/p>\n\n\n\n<p>\u200e<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"415\" height=\"1024\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/11\/image-7-415x1024.png\" alt=\"\" class=\"wp-image-218\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-7-415x1024.png 415w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-7-122x300.png 122w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-7.png 441w\" sizes=\"(max-width: 415px) 100vw, 415px\" \/><figcaption>\u56fe5<\/figcaption><\/figure><\/div>\n\n\n\n<p>\u5269\u4e0b\u51e0\u79cd\u60c5\u51b5\u7701\u7565\u3002<\/p>\n\n\n\n<p class=\"has-medium-font-size\"><strong>vpa()<\/strong><\/p>\n\n\n\n<p>\u200e\u53ef\u53d8\u7cbe\u5ea6\u7b97\u672f\uff08\u4efb\u610f\u7cbe\u5ea6\u7b97\u672f\uff09\u200e<a href=\"https:\/\/ww2.mathworks.cn\/help\/symbolic\/vpa.html?searchHighlight=vpa&amp;s_tid=srchtitle_vpa_1#responsive_offcanvas\" target=\"_blank\" rel=\"noopener\">Variable-precision arithmetic (arbitrary-precision arithmetic) &#8211; MATLAB vpa &#8211; MathWorks \u4e2d\u56fd<\/a><\/p>\n\n\n\n<p>vpa()\u53ef\u4ee5\u628asym\u7c7b\u7684\u6807\u8bc6\u8f6c\u5316\u4f4d\u6d6e\u70b9\u6570\u3002<\/p>\n\n\n\n<p>\u793a\u4f8b\uff1a<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img decoding=\"async\" loading=\"lazy\" width=\"1024\" height=\"376\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/11\/image-8-1024x376.png\" alt=\"\" class=\"wp-image-219\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-8-1024x376.png 1024w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-8-300x110.png 300w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-8-768x282.png 768w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-8-769x283.png 769w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-8.png 1371w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption>\u56fe6<\/figcaption><\/figure><\/div>\n\n\n\n<p class=\"has-medium-font-size\"><strong>int()<\/strong><\/p>\n\n\n\n<p>\u7528\u4e8e\u79ef\u5206<\/p>\n\n\n\n<p>\u7528\u6cd5\uff0c\u53c2\u8003\u81ea\uff1a<a href=\"https:\/\/ww2.mathworks.cn\/help\/symbolic\/sym.int.html?searchHighlight=int%28%29&amp;s_tid=srchtitle_int%2528%2529_1\" target=\"_blank\" rel=\"noopener\">Definite and indefinite integrals &#8211; MATLAB int &#8211; MathWorks \u4e2d\u56fd<\/a><\/p>\n\n\n\n<p><code>F&nbsp;= int(<a href=\"https:\/\/ww2.mathworks.cn\/help\/symbolic\/sym.int.html?searchHighlight=int%28%29&amp;s_tid=srchtitle_int%2528%2529_1#btybolt-expr\" target=\"_blank\" rel=\"noopener\"><code>expr<\/code><\/a>)<\/code>&nbsp;computes the indefinite integral of&nbsp;<code>expr<\/code>.&nbsp;<code>int<\/code>&nbsp;uses the default integration variable determined by&nbsp;<a href=\"https:\/\/ww2.mathworks.cn\/help\/symbolic\/symvar.html\" target=\"_blank\" rel=\"noopener\"><code>symvar<\/code><\/a>(<code>expr,1<\/code>). If&nbsp;<code>expr<\/code>&nbsp;is a constant, then the default integration variable is&nbsp;<code>x<\/code>.<\/p>\n\n\n\n<p>\u53c2\u6570\u53ea\u6709\u51fd\u6570expr\u7684\u79ef\u5206\uff0c\u9ed8\u8ba4\u79efx<\/p>\n\n\n\n<p><code>F&nbsp;= int(<a href=\"https:\/\/ww2.mathworks.cn\/help\/symbolic\/sym.int.html?searchHighlight=int%28%29&amp;s_tid=srchtitle_int%2528%2529_1#btybolt-expr\" target=\"_blank\" rel=\"noopener\"><code>expr<\/code><\/a>,<a href=\"https:\/\/ww2.mathworks.cn\/help\/symbolic\/sym.int.html?searchHighlight=int%28%29&amp;s_tid=srchtitle_int%2528%2529_1#btybolt-var\" target=\"_blank\" rel=\"noopener\"><code>var<\/code><\/a>)<\/code>&nbsp;computes the indefinite integral of&nbsp;<code>expr<\/code>&nbsp;with respect to the symbolic scalar variable&nbsp;<code>var<\/code>.<\/p>\n\n\n\n<p>\u51fd\u6570expr\u79efvar<\/p>\n\n\n\n<p><code>F&nbsp;= int(<a href=\"https:\/\/ww2.mathworks.cn\/help\/symbolic\/sym.int.html?searchHighlight=int%28%29&amp;s_tid=srchtitle_int%2528%2529_1#btybolt-expr\" target=\"_blank\" rel=\"noopener\"><code>expr<\/code><\/a>,<a href=\"https:\/\/ww2.mathworks.cn\/help\/symbolic\/sym.int.html?searchHighlight=int%28%29&amp;s_tid=srchtitle_int%2528%2529_1#btybolt-a\" target=\"_blank\" rel=\"noopener\"><code>a<\/code><\/a>,<a href=\"https:\/\/ww2.mathworks.cn\/help\/symbolic\/sym.int.html?searchHighlight=int%28%29&amp;s_tid=srchtitle_int%2528%2529_1#btybolt-b\" target=\"_blank\" rel=\"noopener\"><code>b<\/code><\/a>)<\/code>&nbsp;computes the definite integral of&nbsp;<code>expr<\/code>&nbsp;from&nbsp;<code>a<\/code>&nbsp;to&nbsp;<code>b<\/code>.&nbsp;<code>int<\/code>&nbsp;uses the default integration variable determined by&nbsp;<a href=\"https:\/\/ww2.mathworks.cn\/help\/symbolic\/symvar.html\" target=\"_blank\" rel=\"noopener\"><code>symvar<\/code><\/a>(<code>expr,1<\/code>). If&nbsp;<code>expr<\/code>&nbsp;is a constant, then the default integration variable is&nbsp;<code>x<\/code>.<\/p>\n\n\n\n<p><code>int(expr,[a b])<\/code>&nbsp;is equivalent to&nbsp;<code>int(expr,a,b)<\/code>.<\/p>\n\n\n\n<p>\u4ecea\u5230b\u79efexpr\uff0c\u9ed8\u8ba4\u79efx<\/p>\n\n\n\n<p><code>F&nbsp;= int(<a href=\"https:\/\/ww2.mathworks.cn\/help\/symbolic\/sym.int.html?searchHighlight=int%28%29&amp;s_tid=srchtitle_int%2528%2529_1#btybolt-expr\" target=\"_blank\" rel=\"noopener\"><code>expr<\/code><\/a>,<a href=\"https:\/\/ww2.mathworks.cn\/help\/symbolic\/sym.int.html?searchHighlight=int%28%29&amp;s_tid=srchtitle_int%2528%2529_1#btybolt-var\" target=\"_blank\" rel=\"noopener\"><code>var<\/code><\/a>,<a href=\"https:\/\/ww2.mathworks.cn\/help\/symbolic\/sym.int.html?searchHighlight=int%28%29&amp;s_tid=srchtitle_int%2528%2529_1#btybolt-a\" target=\"_blank\" rel=\"noopener\"><code>a<\/code><\/a>,<a href=\"https:\/\/ww2.mathworks.cn\/help\/symbolic\/sym.int.html?searchHighlight=int%28%29&amp;s_tid=srchtitle_int%2528%2529_1#btybolt-b\" target=\"_blank\" rel=\"noopener\"><code>b<\/code><\/a>)<\/code>&nbsp;computes the definite integral of&nbsp;<code>expr<\/code>&nbsp;with respect to the symbolic scalar variable&nbsp;<code>var<\/code>&nbsp;from&nbsp;<code>a<\/code>&nbsp;to&nbsp;<code>b<\/code>.<\/p>\n\n\n\n<p><code>int(expr,var,[a b])<\/code>&nbsp;is equivalent to&nbsp;<code>int(expr,var,a,b)<\/code>.<\/p>\n\n\n\n<p>\u51fd\u6570expr\u4ecea\u5230b\u79efvar<\/p>\n\n\n\n<p>\u793a\u4f8b\uff1a<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img decoding=\"async\" loading=\"lazy\" width=\"700\" height=\"646\" src=\"https:\/\/x2.mday.top\/wp-content\/uploads\/2021\/11\/image-9.png\" alt=\"\" class=\"wp-image-221\" srcset=\"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-9.png 700w, https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-9-300x277.png 300w\" sizes=\"(max-width: 700px) 100vw, 700px\" \/><figcaption>\u56fe7<\/figcaption><\/figure><\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>sym() \u200e\u521b\u5efa\u7b26\u53f7\u53d8\u91cf\u3001\u8868\u8fbe\u5f0f\u3001\u529f\u80fd\u3001\u77e9\u9635\u200e &hellip;<\/p>\n","protected":false},"author":1,"featured_media":214,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_publicize_message":"","jetpack_is_tweetstorm":false,"jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[2],"tags":[],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/scutvk.cn\/wp-content\/uploads\/2021\/11\/image-3.png","_links":{"self":[{"href":"https:\/\/scutvk.cn\/index.php?rest_route=\/wp\/v2\/posts\/213"}],"collection":[{"href":"https:\/\/scutvk.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/scutvk.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/scutvk.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/scutvk.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=213"}],"version-history":[{"count":3,"href":"https:\/\/scutvk.cn\/index.php?rest_route=\/wp\/v2\/posts\/213\/revisions"}],"predecessor-version":[{"id":223,"href":"https:\/\/scutvk.cn\/index.php?rest_route=\/wp\/v2\/posts\/213\/revisions\/223"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/scutvk.cn\/index.php?rest_route=\/wp\/v2\/media\/214"}],"wp:attachment":[{"href":"https:\/\/scutvk.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=213"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/scutvk.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=213"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/scutvk.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=213"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}