{"id":4484,"date":"2026-07-04T22:58:58","date_gmt":"2026-07-04T14:58:58","guid":{"rendered":"https:\/\/www.moke323.com\/?p=4484"},"modified":"2026-07-04T23:02:55","modified_gmt":"2026-07-04T15:02:55","slug":"1","status":"publish","type":"post","link":"https:\/\/www.moke323.com\/?p=4484","title":{"rendered":"1"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">\u9ad8\u65af\u79ef\u5206\u7684\u8ba1\u7b97\u7ed3\u679c\u5982\u4e0b\uff1a<br>$$<br>\\int_{-\\infty}^{+\\infty} e^{-x^2} dx = \\sqrt{\\pi}<br>$$<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u8d28\u80fd\u65b9\u7a0b $E=mc^2$ \u662f\u72ed\u4e49\u76f8\u5bf9\u8bba\u7684\u6838\u5fc3\u7ed3\u8bba\u4e4b\u4e00\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u9ece\u66fc\u79ef\u5206\u7684\u5b9a\u4e49\u4e3a $\\int_a^b f(x)dx = \\lim_{\\lambda \\to 0} \\sum_{i=1}^n f(\\xi_i)\\Delta x_i$\uff0c\u5176\u4e2d $\\lambda$ \u4e3a\u533a\u95f4\u5206\u5272\u7684\u6700\u5927\u7ec6\u5ea6\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u591a\u5143\u51fd\u6570 $f(x,y,z)$ \u7684\u68af\u5ea6\u4e3a $\\nabla f = \\left( \\frac{\\partial f}{\\partial x},\\frac{\\partial f}{\\partial y},\\frac{\\partial f}{\\partial z} \\right)$\uff0c\u6563\u5ea6\u8bb0\u4e3a $\\nabla \\cdot \\vec{F}$\u3002<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">$$<br>\\iint_D e^{-x^2-y^2} dxdy = \\int_0^{2\\pi} d\\theta \\int_0^R e^{-r^2} r dr = \\pi(1-e^{-R^2})<br>$$<\/p>\n\n\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><\/math><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">$$<br>\\oint_L Pdx + Qdy = \\iint_D \\left( \\frac{\\partial Q}{\\partial x} &#8211; \\frac{\\partial P}{\\partial y} \\right) dxdy<br>$$<\/p>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><\/math><\/div>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><\/math><\/div>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><\/math><\/div>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><\/math><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">$$<br>\\begin{align}<br>\\int \\sin^2 x dx &amp;= \\int \\frac{1-\\cos 2x}{2} dx \\<br>&amp;= \\frac{1}{2}\\int dx &#8211; \\frac{1}{2}\\int \\cos 2x dx \\<br>&amp;= \\frac{x}{2} &#8211; \\frac{\\sin 2x}{4} + C<br>\\end{align}<br>$$<\/p>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><\/math><\/div>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><\/math><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">1<\/p>\n\n\n\n<div class=\"wp-block-math\"><math display=\"block\"><\/math><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u9ad8\u65af\u79ef\u5206\u7684\u8ba1\u7b97\u7ed3\u679c\u5982\u4e0b\uff1a$$\\int_{-\\infty}^{+\\infty} e^{-x^2} dx = \\s [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-4484","post","type-post","status-publish","format-standard","hentry","category-memory"],"_links":{"self":[{"href":"https:\/\/www.moke323.com\/index.php?rest_route=\/wp\/v2\/posts\/4484","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.moke323.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.moke323.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.moke323.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.moke323.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4484"}],"version-history":[{"count":4,"href":"https:\/\/www.moke323.com\/index.php?rest_route=\/wp\/v2\/posts\/4484\/revisions"}],"predecessor-version":[{"id":4489,"href":"https:\/\/www.moke323.com\/index.php?rest_route=\/wp\/v2\/posts\/4484\/revisions\/4489"}],"wp:attachment":[{"href":"https:\/\/www.moke323.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4484"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.moke323.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4484"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.moke323.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4484"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}