{"id":303492,"date":"2024-05-20T19:01:11","date_gmt":"2024-05-20T11:01:11","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/303492.html"},"modified":"2024-05-20T19:01:20","modified_gmt":"2024-05-20T11:01:20","slug":"%e7%94%b5%e8%84%91%e4%b8%8a%e6%9c%89%e4%bb%80%e4%b9%88%e5%bf%ab%e9%80%9f%e7%ae%97%e7%a7%af%e5%88%86%e7%9a%84%e8%bd%af%e4%bb%b6%e6%88%96%e7%a8%8b%e5%ba%8f%e5%90%97","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/303492.html","title":{"rendered":"\u7535\u8111\u4e0a\u6709\u4ec0\u4e48\u5feb\u901f\u7b97\u79ef\u5206\u7684\u8f6f\u4ef6\u6216\u7a0b\u5e8f\u5417"},"content":{"rendered":"<p style=\"text-align:center\"><img decoding=\"async\" src=\"https:\/\/cdn-kb.worktile.com\/kb\/wp-content\/uploads\/2024\/04\/26215724\/977daa7d-23d5-47cf-9b53-97fbb39881d4.webp\" alt=\"\u7535\u8111\u4e0a\u6709\u4ec0\u4e48\u5feb\u901f\u7b97\u79ef\u5206\u7684\u8f6f\u4ef6\u6216\u7a0b\u5e8f\u5417\" \/><\/p>\n<p><p><strong>\u5f53\u7136\uff0c\u7535\u8111\u4e0a\u6709\u591a\u6b3e\u5feb\u901f\u7b97\u79ef\u5206\u7684\u8f6f\u4ef6\u6216\u7a0b\u5e8f\uff0c\u5305\u62ecMATLAB\u3001Mathematica\u3001Maple\u3001Python\u7684SciPy\u5e93\u3001Wolfram Alpha\u5728\u7ebf\u5de5\u5177<\/strong>\u7b49\u3002\u5176\u4e2d\u4ee5<strong>Mathematica\u7684\u79ef\u5206\u89e3\u7b97\u80fd\u529b<\/strong>\u7279\u522b\u503c\u5f97\u4e00\u63d0\uff0c\u56e0\u4e3a\u5b83\u4e0d\u4ec5\u652f\u6301\u591a\u79cd\u79ef\u5206\u8ba1\u7b97\uff0c\u5305\u62ec\u4e0d\u5b9a\u79ef\u5206\u3001\u5b9a\u79ef\u5206\u3001\u591a\u91cd\u79ef\u5206\u7b49\uff0c\u540c\u65f6\u5b83\u8fd8\u5177\u5907\u7b26\u53f7\u8ba1\u7b97\u7684\u80fd\u529b\u3002Mathematica \u80fd\u81ea\u52a8\u9009\u62e9\u9002\u5408\u95ee\u9898\u7684\u7b97\u6cd5\uff0c\u5bf9\u590d\u6742\u7684\u79ef\u5206\u8868\u8fbe\u5f0f\u7ed9\u51fa\u7cbe\u786e\u89e3\u6216\u6570\u503c\u89e3\uff0c\u5e76\u80fd\u5904\u7406\u51fd\u6570\u3001\u533a\u95f4\u4ee5\u53ca\u79ef\u5206\u9650\u5b9a\u6761\u4ef6\u7684\u5404\u79cd\u590d\u6742\u573a\u666f\u3002\u5b83\u662f\u7814\u7a76\u8005\u3001\u5de5\u7a0b\u5e08\u3001\u6570\u5b66\u6559\u5e08\u53ca\u5b66\u751f\u5e38\u7528\u7684\u4e00\u6b3e\u5f3a\u5927\u5de5\u5177\u3002<\/p>\n<\/p>\n<p><h3>\u4e00\u3001MATLAB<\/h3>\n<\/p>\n<p><p>MATLAB \u662f\u4e00\u6b3e\u5e7f\u6cdb\u5e94\u7528\u4e8e\u5de5\u7a0b\u8ba1\u7b97\u548c\u53ef\u89c6\u5316\u7684\u9ad8\u6027\u80fd\u8bed\u8a00\u73af\u5883\u3002\u5b83\u63d0\u4f9b\u4e86\u591a\u4e2a\u5185\u7f6e\u51fd\u6570\u6765\u5904\u7406\u5404\u79cd\u6570\u5b66\u95ee\u9898\u5305\u62ec\u79ef\u5206\u3002<\/p>\n<\/p>\n<ul>\n<li><strong>\u4f7f\u7528int\u51fd\u6570\u8fdb\u884c\u7b26\u53f7\u79ef\u5206<\/strong>\uff1aMATLAB \u7684\u7b26\u53f7\u6570\u5b66\u5de5\u5177\u7bb1\u80fd\u591f\u5bf9\u4ee3\u6570\u8868\u8fbe\u5f0f\u8fdb\u884c\u7b26\u53f7\u79ef\u5206\u3002\u4f8b\u5982\uff0c\u4f7f\u7528<code>int(f)<\/code>\u6765\u83b7\u53d6\u51fd\u6570<code>f<\/code>\u7684\u4e0d\u5b9a\u79ef\u5206\u3002<\/li>\n<li><strong>\u4f7f\u7528trapz\u6216integral\u51fd\u6570\u8fdb\u884c\u6570\u503c\u79ef\u5206<\/strong>\uff1a\u8fd9\u4e9b\u51fd\u6570\u901a\u5e38\u7528\u4e8e\u6c42\u89e3\u4e0d\u80fd\u7cbe\u786e\u79ef\u5206\u6216\u8005\u4e0d\u6613\u6c42\u5f97\u7b26\u53f7\u89e3\u7684\u51fd\u6570\u7684\u79ef\u5206\u3002<code>trapz<\/code>\u57fa\u4e8e\u68af\u5f62\u6cd5\u5219\uff0c\u800c<code>integral<\/code>\u63d0\u4f9b\u66f4\u52a0\u590d\u6742\u548c\u7cbe\u786e\u7684\u6570\u503c\u65b9\u6cd5\u3002<\/li>\n<\/ul>\n<p><h3>\u4e8c\u3001MATHEMATICA<\/h3>\n<\/p>\n<p><p>Mathematica \u662f\u4e00\u6b3e\u96c6\u6570\u503c\u548c\u7b26\u53f7\u8ba1\u7b97\u4e8e\u4e00\u4f53\u7684\u9ad8\u7ea7\u8ba1\u7b97\u8f6f\u4ef6\uff0c\u5b83\u64c5\u957f\u4e8e\u5904\u7406\u590d\u6742\u7684\u6570\u5b66\u95ee\u9898\u3002<\/p>\n<\/p>\n<ul>\n<li><strong>\u5f3a\u5927\u7684\u7b26\u53f7\u79ef\u5206\u80fd\u529b<\/strong>\uff1aMathematica \u5229\u7528\u5176\u7b26\u53f7\u8ba1\u7b97\u80fd\u529b\u6267\u884c\u79ef\u5206\u64cd\u4f5c\uff0c\u53ef\u5904\u7406\u5404\u79cd\u590d\u6742\u7684\u79ef\u5206\u4efb\u52a1\u3002<\/li>\n<li><strong>\u4e30\u5bcc\u7684\u6570\u503c\u79ef\u5206\u7b97\u6cd5<\/strong>\uff1a\u5bf9\u4e8e\u6570\u503c\u79ef\u5206\uff0cMathematica \u63d0\u4f9b\u591a\u79cd\u7b97\u6cd5\u9009\u9879\uff0c\u5305\u62ec\u5168\u7403\u4f18\u5316\u7b97\u6cd5\uff0c\u4ee5\u6ee1\u8db3\u4e0d\u540c\u7cbe\u5ea6\u548c\u901f\u5ea6\u7684\u9700\u6c42\u3002<\/li>\n<\/ul>\n<p><h3>\u4e09\u3001MAPLE<\/h3>\n<\/p>\n<p><p>Maple \u662f\u4e00\u6b3e\u7efc\u5408\u6027\u7684\u7b26\u53f7\u8ba1\u7b97\u8f6f\u4ef6\uff0c\u5b83\u540c\u6837\u5bf9\u79ef\u5206\u8ba1\u7b97\u652f\u6301\u826f\u597d\u3002<\/p>\n<\/p>\n<ul>\n<li><strong>\u7b26\u53f7\u79ef\u5206\u548c\u6570\u503c\u79ef\u5206<\/strong>\uff1aMaple \u63d0\u4f9b\u4e86\u5b8c\u6574\u7684\u79ef\u5206\u89e3\u51b3\u65b9\u6848\uff0c\u7528\u6237\u53ef\u4ee5\u6839\u636e\u95ee\u9898\u7684\u7279\u6027\u9009\u62e9\u6700\u5408\u9002\u7684\u65b9\u6cd5\u3002<\/li>\n<li><strong>\u9ad8\u6548\u7684\u79ef\u5206\u5f15\u64ce<\/strong>\uff1aMaple \u7684\u79ef\u5206\u7b97\u6cd5\u975e\u5e38\u9ad8\u6548\uff0c\u5c24\u5176\u662f\u5728\u5904\u7406\u7b26\u53f7\u79ef\u5206\u65f6\u3002<\/li>\n<\/ul>\n<p><h3>\u56db\u3001PYTHON\u7684SCIPY\u5e93<\/h3>\n<\/p>\n<p><p>Python \u662f\u4e00\u79cd\u901a\u7528\u7f16\u7a0b\u8bed\u8a00\uff0c\u5b83\u7684SciPy\u5e93\u662f\u8fdb\u884c\u79d1\u5b66\u8ba1\u7b97\u7684\u91cd\u8981\u5de5\u5177\u3002<\/p>\n<\/p>\n<ul>\n<li><strong>\u5f3a\u5927\u7684\u6570\u503c\u79ef\u5206\u51fd\u6570<\/strong>\uff1aSciPy\u7684<code>integrate<\/code>\u5b50\u5e93\u63d0\u4f9b\u4e86\u591a\u4e2a\u79ef\u5206\u51fd\u6570\uff0c\u5982<code>quad<\/code>\u3001<code>dblquad<\/code>\u3001<code>tplquad<\/code>\u5206\u522b\u7528\u4e8e\u4e00\u91cd\u3001\u4e8c\u91cd\u3001\u4e09\u91cd\u79ef\u5206\u3002<\/li>\n<li><strong>\u7075\u6d3b\u6027\u548c\u6613\u7528\u6027<\/strong>\uff1aPython\u7684\u7b80\u6d01\u8bed\u6cd5\u548cSciPy\u7684\u5f3a\u5927\u529f\u80fd\uff0c\u4f7f\u5f97\u6267\u884c\u79ef\u5206\u8ba1\u7b97\u53d8\u5f97\u65e2\u7075\u6d3b\u53c8\u7b80\u5355\u3002<\/li>\n<\/ul>\n<p><h3>\u4e94\u3001WOLFRAM ALPHA\u5728\u7ebf\u5de5\u5177<\/h3>\n<\/p>\n<p><p>Wolfram Alpha \u662f\u4e00\u4e2a\u5728\u7ebf\u7684\u8ba1\u7b97\u77e5\u8bc6\u5f15\u64ce\uff0c\u5b83\u4e3a\u79ef\u5206\u8ba1\u7b97\u63d0\u4f9b\u4e86\u4fbf\u6377\u7684\u63a5\u53e3\u3002<\/p>\n<\/p>\n<ul>\n<li><strong>\u5373\u65f6\u7684\u79ef\u5206\u89e3\u7b54<\/strong>\uff1a\u7528\u6237\u53ea\u9700\u5728Wolfram Alpha\u7684\u641c\u7d22\u6846\u8f93\u5165\u79ef\u5206\u95ee\u9898\uff0c\u5b83\u80fd\u8fc5\u901f\u7ed9\u51fa\u89e3\u7b54\u3002<\/li>\n<li><strong>\u7b26\u53f7\u8ba1\u7b97\u4e0e\u6570\u503c\u8ba1\u7b97<\/strong>\uff1a\u9664\u4e86\u6c42\u89e3\u7cbe\u786e\u7684\u7b26\u53f7\u79ef\u5206\uff0cWolfram Alpha\u8fd8\u80fd\u8ba1\u7b97\u6570\u503c\u89e3\uff0c\u9002\u5408\u4e8e\u9700\u8981\u5373\u65f6\u7ed3\u679c\u7684\u573a\u666f\u3002<\/li>\n<\/ul>\n<p><p>\u8fd9\u4e9b\u8f6f\u4ef6\u548c\u7a0b\u5e8f\u4f7f\u5f97\u8ba1\u7b97\u79ef\u5206\u53d8\u5f97\u5feb\u901f\u548c\u51c6\u786e\uff0c\u65e0\u8bba\u662f\u79d1\u7814\u3001\u5b66\u4e60\u8fd8\u662f\u5de5\u7a0b\u8ba1\u7b97\uff0c\u90fd\u80fd\u63d0\u4f9b\u5de8\u5927\u5e2e\u52a9\u3002\u901a\u8fc7\u9002\u5f53\u9009\u62e9\u548c\u4f7f\u7528\uff0c\u53ef\u4ee5\u6781\u5927\u5730\u63d0\u9ad8\u79ef\u5206\u8ba1\u7b97\u7684\u6548\u7387\u3002<\/p>\n<\/p>\n<h2><strong>\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n<p><strong>\u6709\u54ea\u4e9b\u9002\u7528\u4e8e\u7535\u8111\u7684\u9ad8\u6548\u8ba1\u7b97\u79ef\u5206\u7684\u8f6f\u4ef6\uff1f<\/strong><\/p>\n<ul>\n<li>\n<p>\u6709\u5f88\u591a\u9002\u7528\u4e8e\u7535\u8111\u7684\u9ad8\u6548\u8ba1\u7b97\u79ef\u5206\u7684\u8f6f\u4ef6\uff0c\u6bd4\u5982Matlab\u3001Mathematica\u548cMaple\u7b49\u3002\u8fd9\u4e9b\u8f6f\u4ef6\u90fd\u62e5\u6709\u5f3a\u5927\u7684\u6570\u5b66\u8ba1\u7b97\u529f\u80fd\uff0c\u53ef\u4ee5\u5e2e\u52a9\u7528\u6237\u5feb\u901f\u8ba1\u7b97\u5404\u79cd\u79ef\u5206\uff0c\u5305\u62ec\u5b9a\u79ef\u5206\u548c\u4e0d\u5b9a\u79ef\u5206\u7b49\u3002\u7528\u6237\u53ea\u9700\u8f93\u5165\u76f8\u5e94\u7684\u79ef\u5206\u8868\u8fbe\u5f0f\uff0c\u5373\u53ef\u5f97\u5230\u8ba1\u7b97\u7ed3\u679c\u3002<\/p>\n<\/li>\n<li>\n<p>\u53e6\u5916\uff0c\u8fd8\u6709\u4e00\u4e9b\u4e13\u95e8\u7528\u4e8e\u6570\u503c\u79ef\u5206\u8ba1\u7b97\u7684\u8f6f\u4ef6\uff0c\u6bd4\u5982Gaussool\u548cNumerical Methods Studio\u7b49\u3002\u8fd9\u4e9b\u8f6f\u4ef6\u91c7\u7528\u6570\u503c\u79ef\u5206\u7684\u65b9\u6cd5\uff0c\u5c06\u79ef\u5206\u95ee\u9898\u8f6c\u5316\u4e3a\u6570\u503c\u8ba1\u7b97\u95ee\u9898\uff0c\u901a\u8fc7\u8fed\u4ee3\u7b49\u7b97\u6cd5\u6c42\u89e3\uff0c\u53ef\u4ee5\u5728\u8f83\u77ed\u7684\u65f6\u95f4\u5185\u5f97\u5230\u8f83\u4e3a\u51c6\u786e\u7684\u7ed3\u679c\u3002<\/p>\n<\/li>\n<li>\n<p>\u6b64\u5916\uff0c\u8fd8\u6709\u4e00\u4e9b\u5728\u7ebf\u79ef\u5206\u8ba1\u7b97\u7f51\u7ad9\u53ef\u4ee5\u514d\u8d39\u4f7f\u7528\uff0c\u6bd4\u5982Wolfram 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