{"id":222,"date":"2025-02-23T16:23:35","date_gmt":"2025-02-23T08:23:35","guid":{"rendered":"https:\/\/zhangliangshan.cn\/?p=222"},"modified":"2025-02-23T16:56:47","modified_gmt":"2025-02-23T08:56:47","slug":"%e3%80%90%e6%9c%ba%e5%99%a8%e5%ad%a6%e4%b9%a0%e3%80%91%e6%95%b0%e5%ad%a6%e5%9f%ba%e7%a1%80","status":"publish","type":"post","link":"https:\/\/zhangliangshan.cn\/index.php\/2025\/02\/23\/%e3%80%90%e6%9c%ba%e5%99%a8%e5%ad%a6%e4%b9%a0%e3%80%91%e6%95%b0%e5%ad%a6%e5%9f%ba%e7%a1%80\/","title":{"rendered":"\u3010\u673a\u5668\u5b66\u4e60\u3011\u6570\u5b66\u57fa\u7840"},"content":{"rendered":"\n<p>\u673a\u5668\u5b66\u4e60\u662f\u4e00\u95e8\u4ee5\u6570\u636e\u53ca\u5176\u6a21\u578b\u4e3a\u7814\u7a76\u5bf9\u8c61\u7684\u5b66\u79d1\uff0c\u4f18\u5316\u6a21\u578b\u3001\u5206\u6790\u6a21\u578b\u90fd\u9700\u8981\u6570\u5b66\u624b\u6bb5\u7684\u5e2e\u52a9\uff1b\u6570\u5b66\u53ef\u4ee5\u5e2e\u6211\u4eec\u66f4\u6e05\u6670\u7684\u63cf\u8ff0\u548c\u7814\u7a76\u673a\u5668\u5b66\u4e60\u7b97\u6cd5\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1.1 \u5411\u91cf<\/h3>\n\n\n\n<p><strong>\u5411\u91cf<\/strong>\u662f\u6307\u5177\u6709\u5927\u5c0f\u548c\u65b9\u5411\u7684\u91cf\uff0c\u53ea\u6709\u5927\u5c0f\u6ca1\u6709\u65b9\u5411\u7684\u53eb<strong>\u6807\u91cf<\/strong>\uff0c\u6709\u5217\u5411\u91cf\u548c\u884c\u5411\u91cf\uff0c\u9ed8\u8ba4\u5199\u6cd5\u4e3a\u5217\u5411\u91cf\uff1a<\/p>\n\n\n\n<p>$$\\vec{x} = \\begin{pmatrix}x_1 \\\\x_2 \\\\ \\cdots \\\\x_n \\end{pmatrix}$$<\/p>\n\n\n\n<p>\u6a2a\u6392\u662f\u884c\u5411\u91cf\uff1a$\\vec{x} = \\begin{pmatrix} x_1,&amp;x_2,&amp;\\cdots,&amp; x_n\\end{pmatrix}$\uff0c\u4f46\u662f\u5b9e\u9645\u8fc7\u7a0b\u4e2d\uff0c\u4e3a\u4e86\u8282\u7701\u7a7a\u95f4\uff0c\u6211\u4eec\u901a\u5e38\u5c06\u5217\u5411\u91cf\u5199\u4e3a$\\vec{x} = \\begin{pmatrix} x_1,&amp;x_2,&amp;\\cdots,&amp; x_n\\end{pmatrix}^T$\uff0c\u8f6c\u7f6e\u4e00\u4e0b\u5373\u53ef\u3002<\/p>\n\n\n\n<p>\u5173\u4e8e\u5411\u91cf\u7684\u542b\u4e49\uff0c\u53ef\u4ee5\u5c06\u5176\u770b\u6210$n$\u7ef4\u7a7a\u95f4\u7684\u4e00\u4e2a\u70b9\uff0c\u6bcf\u4e00\u7ef4\u7684\u503c\u90fd\u4ee3\u8868\u5750\u6807\uff0c\u4e5f\u53ef\u4ee5\u5c06\u5176\u770b\u4e3a\u4ece\u539f\u70b9\u6307\u5411\u8be5\u5750\u6807\u70b9\u7684\u6709\u5411\u7ebf\u6bb5\uff0c\u5177\u6709\u957f\u5ea6\u548c\u65b9\u5411\u3002\u56e0\u6b64\uff0c\u5168\u4f53$n$\u7ef4\u5411\u91cf\u6784\u6210\u7684\u7a7a\u95f4\u548c$\\mathbb{R}^n$\u662f\u7b49\u4ef7\u7684\u3002\u5728\u6ca1\u6709\u989d\u5916\u8bf4\u660e\u7684\u60c5\u51b5\u4e0b\uff0c\u5bf9\u4e8e\u5411\u91cf$x\\in\\mathbb{R}^n$\u3002<\/p>\n\n\n\n<p>\u5411\u91cf\u7684\u8fd0\u7b97\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5411\u91cf\u76f8\u52a0\uff1a$\\vec{x}+\\vec{y} = (x_1+y_1,x_2+y_2,\\cdots, x_n+y_n)^T$\u3002<\/li>\n\n\n\n<li>\u5411\u91cf\u4e0e\u6807\u91cf\u76f8\u4e58\uff1a$a\\vec{x} = \\vec{x}a = (ax_1,ax_2,\\cdots,ax_n)^T$\u3002\u5f53$a = 0$\u6216$\\vec{x} = 0$\u65f6\uff0c\u7ed3\u6784\u4e3a$\\vec{0}$.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u673a\u5668\u5b66\u4e60\u662f\u4e00\u95e8\u4ee5\u6570\u636e\u53ca\u5176\u6a21\u578b\u4e3a\u7814\u7a76\u5bf9\u8c61\u7684\u5b66\u79d1\uff0c\u4f18\u5316\u6a21\u578b\u3001\u5206\u6790\u6a21\u578b\u90fd\u9700\u8981\u6570\u5b66\u624b\u6bb5\u7684\u5e2e\u52a9\uff1b\u6570\u5b66\u53ef\u4ee5\u5e2e\u6211\u4eec\u66f4\u6e05\u6670\u7684\u63cf [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[26],"tags":[],"class_list":["post-222","post","type-post","status-publish","format-standard","hentry","category-ml"],"_links":{"self":[{"href":"https:\/\/zhangliangshan.cn\/index.php\/wp-json\/wp\/v2\/posts\/222","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/zhangliangshan.cn\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/zhangliangshan.cn\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/zhangliangshan.cn\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/zhangliangshan.cn\/index.php\/wp-json\/wp\/v2\/comments?post=222"}],"version-history":[{"count":16,"href":"https:\/\/zhangliangshan.cn\/index.php\/wp-json\/wp\/v2\/posts\/222\/revisions"}],"predecessor-version":[{"id":244,"href":"https:\/\/zhangliangshan.cn\/index.php\/wp-json\/wp\/v2\/posts\/222\/revisions\/244"}],"wp:attachment":[{"href":"https:\/\/zhangliangshan.cn\/index.php\/wp-json\/wp\/v2\/media?parent=222"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/zhangliangshan.cn\/index.php\/wp-json\/wp\/v2\/categories?post=222"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/zhangliangshan.cn\/index.php\/wp-json\/wp\/v2\/tags?post=222"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}