{"id":50174,"date":"2024-12-03T11:19:16","date_gmt":"2024-12-03T03:19:16","guid":{"rendered":"https:\/\/fwq.ai\/blog\/50174\/"},"modified":"2024-12-03T11:19:16","modified_gmt":"2024-12-03T03:19:16","slug":"%e5%a6%82%e4%bd%95%e4%bd%bf%e7%94%a8sympy%e6%b1%82%e8%a7%a3%e5%8c%85%e5%90%ab%e7%ac%a6%e5%8f%b7%e5%8f%98%e9%87%8f%e7%9a%84%e6%96%b9%e7%a8%8b%e7%bb%84%ef%bc%9f","status":"publish","type":"post","link":"https:\/\/fwq.ai\/blog\/50174\/","title":{"rendered":"\u5982\u4f55\u4f7f\u7528SymPy\u6c42\u89e3\u5305\u542b\u7b26\u53f7\u53d8\u91cf\u7684\u65b9\u7a0b\u7ec4\uff1f"},"content":{"rendered":"<p><b><\/b>     <\/p>\n<h1>\u5982\u4f55\u4f7f\u7528SymPy\u6c42\u89e3\u5305\u542b\u7b26\u53f7\u53d8\u91cf\u7684\u65b9\u7a0b\u7ec4\uff1f<\/h1>\n<p>\u5bf9\u4e8e\u4e00\u4e2a\u6587\u7ae0\u5f00\u53d1\u8005\u6765\u8bf4\uff0c\u7262\u56fa\u624e\u5b9e\u7684\u57fa\u7840\u662f\u5341\u5206\u91cd\u8981\u7684\uff0c\u7c73\u4e91\u5c31\u6765\u5e26\u5927\u5bb6\u4e00\u70b9\u70b9\u7684\u638c\u63e1\u57fa\u7840\u77e5\u8bc6\u70b9\u3002\u4eca\u5929\u672c\u7bc7\u6587\u7ae0\u5e26\u5927\u5bb6\u4e86\u89e3\u300a\u5982\u4f55\u4f7f\u7528SymPy\u6c42\u89e3\u5305\u542b\u7b26\u53f7\u53d8\u91cf\u7684\u65b9\u7a0b\u7ec4\uff1f\u300b\uff0c\u4e3b\u8981\u4ecb\u7ecd\u4e86\uff0c\u5e0c\u671b\u5bf9\u5927\u5bb6\u7684\u77e5\u8bc6\u79ef\u7d2f\u6709\u6240\u5e2e\u52a9\uff0c\u5feb\u70b9\u6536\u85cf\u8d77\u6765\u5427\uff0c\u5426\u5219\u9700\u8981\u65f6\u5c31\u627e\u4e0d\u5230\u4e86\uff01<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.17golang.com\/uploads\/20241113\/173146793567341a9fe27ed.jpg\" class=\"aligncenter\" title=\"\u5982\u4f55\u4f7f\u7528SymPy\u6c42\u89e3\u5305\u542b\u7b26\u53f7\u53d8\u91cf\u7684\u65b9\u7a0b\u7ec4\uff1f\u63d2\u56fe\" alt=\"\u5982\u4f55\u4f7f\u7528SymPy\u6c42\u89e3\u5305\u542b\u7b26\u53f7\u53d8\u91cf\u7684\u65b9\u7a0b\u7ec4\uff1f\u63d2\u56fe\" \/><\/p>\n<p><strong>sympy\u6c42\u89e3\u65b9\u7a0b\u7ec4\u7b26\u53f7\u89e3<\/strong><\/p>\n<p>\u5728\u89e3\u51b3\u590d\u6742\u65b9\u7a0b\u7ec4\u65f6\uff0csympy\u662f\u4e00\u4e2a\u5f3a\u5927\u7684\u5de5\u5177\u3002\u7136\u800c\uff0c\u5982\u679c\u60a8\u5e0c\u671b\u5728\u65b9\u7a0b\u4e2d\u5305\u542b\u7b26\u53f7\u53d8\u91cf\uff08\u4f8b\u5982\uff0c\u51fd\u6570\uff09\uff0c\u53ef\u80fd\u9700\u8981\u91c7\u7528\u4e00\u4e9b\u5de7\u5999\u7684\u65b9\u6cd5\u3002\u672c\u6587\u5c06\u6f14\u793a\u5982\u4f55\u4f7f\u7528sympy\u6765\u6c42\u89e3\u5e26\u6709\u7b26\u53f7\u53d8\u91cf\u7684\u65b9\u7a0b\u7ec4\u3002<\/p>\n<p>\u8003\u8651\u4ee5\u4e0b\u65b9\u7a0b\u6a21\u578b\uff1a<\/p>\n<pre>eq(y_1(m), y_2(n))\neq(y_2(t), 0)<\/pre>\n<p>\u5176\u4e2dy_1\u548cy_2\u662f\u7531\u51fd\u6570\u8868\u793a\u7684\u672a\u77e5\u53d8\u91cf\uff0ck\u548cb\u662f\u7b26\u53f7\u53d8\u91cf\uff0cm\u3001n\u548ct\u662f\u5e38\u89c4\u53d8\u91cf\u3002\u6211\u4eec\u7684\u76ee\u6807\u662f\u6c42\u89e3k\u548cb\u7684\u7b26\u53f7\u89e3\u3002<\/p>\n<p>\u4e3a\u4e86\u5b9e\u73b0\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u65b9\u6cd5\uff1a<\/p>\n<pre>import sympy as sym\n\n# \u5b9a\u4e49\u7b26\u53f7\nk, b, x1, x2, m, n, t = sym.symbols('k b x1 x2 m n t')\n\n# \u5b9a\u4e49 y1 \u548c y2 \u51fd\u6570\ny1 = k*x1 + b\ny2 = k*x2\n\n# \u4ee3\u5165 m \u548c n\neq1 = y1.subs(x1, m) + m - y2.subs(x2, n)\neq2 = y2.subs(x2, t) + t\n\n# \u6c42\u89e3\u65b9\u7a0b\u7ec4\nsol = sym.solve([eq1, eq2, y1 - k*x1 - b, y2 - k*x2], (k, b))\n\n# \u6253\u5370\u7ed3\u679c\nprint(f\"k = {sol[k]}\")\nprint(f\"b = {sol[b]}\")<\/pre>\n<p>\u8fd9\u79cd\u65b9\u6cd5\u4f7f\u7528solve\u51fd\u6570\u6765\u6c42\u89e3\u65b9\u7a0b\u7ec4\uff0c\u5e76\u5c06\u7b26\u53f7\u53d8\u91cf\u4f5c\u4e3a\u89e3\u53d8\u91cf\u6307\u5b9a\u3002\u901a\u8fc7\u5c06\u51fd\u6570\u8868\u8fbe\u5f0f\u4ee3\u5165\u65b9\u7a0b\u5e76\u7b26\u53f7\u6c42\u89e3\uff0c\u6211\u4eec\u53ef\u4ee5\u83b7\u5f97k\u548cb\u7684\u7b26\u53f7\u89e3\u3002<\/p>\n<p>\u7406\u8bba\u8981\u638c\u63e1\uff0c\u5b9e\u64cd\u4e0d\u80fd\u843d\uff01\u4ee5\u4e0a\u5173\u4e8e\u300a\u5982\u4f55\u4f7f\u7528SymPy\u6c42\u89e3\u5305\u542b\u7b26\u53f7\u53d8\u91cf\u7684\u65b9\u7a0b\u7ec4\uff1f\u300b\u7684\u8be6\u7ec6\u4ecb\u7ecd\uff0c\u5927\u5bb6\u90fd\u638c\u63e1\u4e86\u5427\uff01\u5982\u679c\u60f3\u8981\u7ee7\u7eed\u63d0\u5347\u81ea\u5df1\u7684\u80fd\u529b\uff0c\u90a3\u4e48\u5c31\u6765\u5173\u6ce8\u7c73\u4e91\u516c\u4f17\u53f7\u5427\uff01<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5982\u4f55\u4f7f\u7528SymPy\u6c42\u89e3\u5305\u542b\u7b26\u53f7\u53d8\u91cf\u7684\u65b9\u7a0b\u7ec4\uff1f \u5bf9\u4e8e\u4e00\u4e2a\u6587\u7ae0\u5f00\u53d1\u8005\u6765\u8bf4\uff0c\u7262\u56fa\u624e\u5b9e\u7684\u57fa\u7840\u662f\u5341\u5206\u91cd\u8981\u7684\uff0c\u7c73\u4e91\u5c31\u6765\u5e26\u5927\u5bb6\u4e00\u70b9\u70b9\u7684\u638c\u63e1\u57fa\u7840\u77e5\u8bc6\u70b9\u3002\u4eca\u5929\u672c\u7bc7\u6587\u7ae0\u5e26\u5927\u5bb6\u4e86\u89e3\u300a\u5982\u4f55\u4f7f\u7528SymPy\u6c42\u89e3\u5305\u542b\u7b26\u53f7\u53d8\u91cf\u7684\u65b9\u7a0b\u7ec4\uff1f\u300b\uff0c\u4e3b\u8981\u4ecb\u7ecd\u4e86\uff0c\u5e0c\u671b\u5bf9\u5927\u5bb6\u7684\u77e5\u8bc6\u79ef\u7d2f\u6709\u6240\u5e2e\u52a9\uff0c\u5feb\u70b9\u6536\u85cf\u8d77\u6765\u5427\uff0c\u5426\u5219\u9700\u8981\u65f6\u5c31\u627e\u4e0d\u5230\u4e86\uff01 sympy\u6c42\u89e3\u65b9\u7a0b\u7ec4\u7b26\u53f7\u89e3 \u5728\u89e3\u51b3\u590d\u6742\u65b9\u7a0b\u7ec4\u65f6\uff0csympy\u662f\u4e00\u4e2a\u5f3a\u5927\u7684\u5de5\u5177\u3002\u7136\u800c\uff0c\u5982\u679c\u60a8\u5e0c\u671b\u5728\u65b9\u7a0b\u4e2d\u5305\u542b\u7b26\u53f7\u53d8\u91cf\uff08\u4f8b\u5982\uff0c\u51fd\u6570\uff09\uff0c\u53ef\u80fd\u9700\u8981\u91c7\u7528\u4e00\u4e9b\u5de7\u5999\u7684\u65b9\u6cd5\u3002\u672c\u6587\u5c06\u6f14\u793a\u5982\u4f55\u4f7f\u7528sympy\u6765\u6c42\u89e3\u5e26\u6709\u7b26\u53f7\u53d8\u91cf\u7684\u65b9\u7a0b\u7ec4\u3002 \u8003\u8651\u4ee5\u4e0b\u65b9\u7a0b\u6a21\u578b\uff1a eq(y_1(m), y_2(n)) eq(y_2(t), 0) \u5176\u4e2dy_1\u548cy_2\u662f\u7531\u51fd\u6570\u8868\u793a\u7684\u672a\u77e5\u53d8\u91cf\uff0ck\u548cb\u662f\u7b26\u53f7\u53d8\u91cf\uff0cm\u3001n\u548ct\u662f\u5e38\u89c4\u53d8\u91cf\u3002\u6211\u4eec\u7684\u76ee\u6807\u662f\u6c42\u89e3k\u548cb\u7684\u7b26\u53f7\u89e3\u3002 \u4e3a\u4e86\u5b9e\u73b0\u8fd9\u4e00\u70b9\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u65b9\u6cd5\uff1a import sympy as sym # \u5b9a\u4e49\u7b26\u53f7 k, b, x1, x2, m, n, t = sym.symbols(&#8216;k b x1 x2 m n t&#8217;) # \u5b9a\u4e49 y1 \u548c y2 \u51fd\u6570 y1 = k*x1 + b y2 = k*x2 # \u4ee3\u5165 m \u548c n eq1 = y1.subs(x1, m) [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-50174","post","type-post","status-publish","format-standard","hentry","category-16"],"_links":{"self":[{"href":"https:\/\/fwq.ai\/blog\/wp-json\/wp\/v2\/posts\/50174","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/fwq.ai\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/fwq.ai\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/fwq.ai\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/fwq.ai\/blog\/wp-json\/wp\/v2\/comments?post=50174"}],"version-history":[{"count":0,"href":"https:\/\/fwq.ai\/blog\/wp-json\/wp\/v2\/posts\/50174\/revisions"}],"wp:attachment":[{"href":"https:\/\/fwq.ai\/blog\/wp-json\/wp\/v2\/media?parent=50174"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/fwq.ai\/blog\/wp-json\/wp\/v2\/categories?post=50174"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/fwq.ai\/blog\/wp-json\/wp\/v2\/tags?post=50174"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}