{"id":5135,"date":"2020-09-02T12:56:53","date_gmt":"2020-09-02T04:56:53","guid":{"rendered":"http:\/\/www.systemsci.org\/jinshanw\/?p=5135"},"modified":"2020-09-02T15:09:15","modified_gmt":"2020-09-02T07:09:15","slug":"%e3%80%8a%e6%95%b0%e5%ad%a6%e5%bb%ba%e6%a8%a1%e3%80%8b%e8%af%be%e7%a8%8b%e5%a4%a7%e7%ba%b2","status":"publish","type":"post","link":"https:\/\/www.systemsci.org\/jinshanw\/2020\/09\/02\/%e3%80%8a%e6%95%b0%e5%ad%a6%e5%bb%ba%e6%a8%a1%e3%80%8b%e8%af%be%e7%a8%8b%e5%a4%a7%e7%ba%b2\/","title":{"rendered":"\u300a\u6570\u5b66\u5efa\u6a21\u300b\u8bfe\u7a0b\u5927\u7eb2"},"content":{"rendered":"<p>\u8bfe\u7a0b\u540d\u79f0\uff1a \u6570\u5b66\u5efa\u6a21<br \/>\n\u82f1\u6587\u540d\u79f0\uff1aMathematical Modeling<\/p>\n<p>\u3010\u5148\u4fee\u8bfe\u8981\u6c42\u3011\u5fae\u79ef\u5206\u3001\u7ebf\u6027\u4ee3\u6570\uff0c\u6700\u597d\u6709\u6982\u7387\u8bba\u3001\u7edf\u8ba1\u5b66\u3001\u666e\u901a\u7269\u7406\u7684\u57fa\u7840\u3002<br 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\u8bfe\u7a0b\u76ee\u6807\u548c\u5b66\u4e60\u65b9\u6cd5\uff083\u5b66\u65f6\uff0c\u9009\u4fee\uff09<br \/>\n\u3000\u3000<\/p>\n<ul>\n<li>0.1 \u8bfe\u7a0b\u57fa\u672c\u76ee\u6807\uff1a\u77e5\u8bc6\u76ee\u6807\u548c\u601d\u7ef4\u65b9\u5f0f\u76ee\u6807<\/li>\n<p>\u672c\u8bfe\u7a0b\u5728\u77e5\u8bc6\u4e0a\u7684\u76ee\u6807\u662f\u5e2e\u52a9\u5b66\u751f\u4e86\u89e3\u548c\u80fd\u4f7f\u7528\u6570\u5b66\u5efa\u6a21\u7684\u4e00\u822c\u8fc7\u7a0b\uff0c\u4e5f\u79ef\u7d2f\u4e00\u4e9b\u5178\u578b\u6570\u5b66\u6a21\u578b\u3002\u672c\u8bfe\u7a0b\u5728\u601d\u7ef4\u65b9\u5f0f\u4e0a\u7684\u76ee\u6807\u662f\u57f9\u517b\u5b66\u751f\u628a\u5b9e\u9645\u95ee\u9898\u62bd\u8c61\u548c\u8f6c\u5316\u6210\u6570\u5b66\u7ed3\u6784\u7684\u4e60\u60ef\u548c\u80fd\u529b\u3002\u672c\u8bfe\u7a0b\u5728\u5b66\u4e60\u65f6\u95f4\u548c\u601d\u7ef4\u6df1\u5ea6\u4e0a\u7684\u6295\u5165\u8981\u6c42\u3002<\/p>\n<li>0.2 \u7406\u89e3\u578b\u5b66\u4e60\u65b9\u6cd5\u548c\u6982\u5ff5\u5730\u56fe<br \/>\n\u3000\u3000\u3000\u3000<\/p>\n<ul>\n \t\u3000\u3000<\/p>\n<li>0.2.1 \u6279\u5224\u6027\u601d\u7ef4\u548c\u6210\u957f\u578b\u601d\u7ef4<\/li>\n<p>\u6ca1\u6709\u7ecf\u8fc7\u6211\u81ea\u5df1\u7684\u7406\u6027\u68c0\u9a8c\uff08\u89c2\u5bdf\u5b9e\u9a8c\u6216\u8005\u8ba1\u7b97\u63a8\u7406\uff09\u7684\u4e1c\u897f\u4e0d\u80fd\u6210\u4e3a\u6211\u4e0b\u4e00\u6b65\u601d\u8003\u548c\u8ba4\u8bc6\u4e16\u754c\u7684\u57fa\u7840\u3002\u4e3e\u4f8b\uff1a\u5e73\u9762\u51e0\u4f55\uff08\u8bba\u8bc1\u4e2d\u6bcf\u4e00\u4e2a\u6b65\u9aa4\u90fd\u9700\u8981\u7406\u7531\uff0c\u90fd\u53ef\u80fd\u4e0d\u6210\u7acb\uff09\u3001\u4f3d\u5229\u7565\u5173\u4e8e\u201c\u91cd\u7269\u843d\u7684\u5feb\u201d\u7684\u8bba\u8bc1\uff08\u4e0d\u662f\u7ed3\u8bba\u5bf9\u5c31\u662f\u5bf9\u7684\uff0c\u6216\u8005\u8bba\u636e\u5bf9\u5c31\u662f\u5bf9\u7684\uff0c\u4e0d\u662f\u5927\u4eba\u7269\u8bf4\u7684\u5c31\u662f\u5bf9\u7684\uff0c\u901a\u8fc7\u66ff\u6362\u5bf9\u8c61\u6765\u8003\u5bdf\u9690\u85cf\u7684\u903b\u8f91\u5047\u8bbe\u4ee5\u53ca\u51f8\u663e\u4e8b\u7269\u7684\u672c\u8d28\u7279\u5f81\uff09<br \/>\n\u6210\u957f\u578b\u601d\u7ef4\uff1a\u505a\u4e2d\u5b66\u3001\u6559\u4e2d\u5b66\u3001\u6311\u6218\u7740\u5b66\u3001\u521b\u9020\u4e2d\u5b66\u3001\u4efb\u4f55\u65f6\u5019\u90fd\u53ef\u4ee5\u518d\u8fdb\u6b65\u3002<br \/>\n \t\u3000\u3000<\/p>\n<li>0.2.2 \u7cfb\u8054\u6027\u601d\u8003<\/li>\n<p>\u672a\u77e5\u8054\u7cfb\u5df2\u77e5\u5c31\u662f\u7406\u89e3\uff0c\u6784\u5efa\u7406\u89e3\u7684\u57fa\u7840\u548c\u6846\u67b6\uff0c\u5177\u6709\u7cfb\u7edf\u6027\uff08\u6838\u5fc3\u548c\u6210\u957f\uff09\uff0c\u548c\u9010\u6761\u8bb0\u5fc6\u68c0\u7d22\u76f8\u53cd\u3002\u6ce8\u610f\uff0c\u628a\u8054\u7cfb\u8868\u8fbe\u6210\u7f51\u7edc\u548c\u77e9\u9635\u4e4b\u540e\uff0c\u8fd8\u53ef\u4ee5\u5206\u6790\u548c\u8ba1\u7b97\u8054\u7cfb\uff1a\u7cfb\u8054=\u8054\u7cfb1+\u8054\u7cfb2+\u8054\u7cfb3+\u22ef\uff0c\u4ece\u5b64\u7acb\u5230\u6709\u8054\u7cfb\uff0c\u4ece\u76f4\u63a5\u8054\u7cfb\u5230\u95f4\u63a5\u8054\u7cfb\uff0c\u4ece\u4e2a\u4f53\u5230\u6574\u4f53\u3002<br \/>\n\u3000\u3000 \t<\/p>\n<li>0.2.3 \u5b66\u79d1\u5927\u56fe\u666f<\/li>\n<p>\u4e00\u4e2a\u5b66\u79d1\u7684\u5178\u578b\u7814\u7a76\u5bf9\u8c61\u3001\u5178\u578b\u7814\u7a76\u95ee\u9898\u3001\u5178\u578b\u601d\u7ef4\u65b9\u5f0f\u3001\u5178\u578b\u5206\u6790\u65b9\u6cd5\u3001\u548c\u4e16\u754c\u8fd8\u6709\u5176\u4ed6\u5b66\u79d1\u7684\u5173\u7cfb\u3002<br \/>\n\u3000\u3000 \t<\/p>\n<li>0.2.4 \u6982\u5ff5\u5730\u56fe\u548c\u6982\u5ff5\u5730\u56fe\u7684\u5236\u4f5c<\/li>\n<p>\u3000\u3000\u3000<\/ul>\n<ul>\n<li>0.3 \u79d1\u5b66\u3001\u6570\u5b66\u4e0e\u73b0\u5b9e\u7684\u5173\u7cfb<br \/>\n\u3000\u3000\u3000<\/p>\n<ul>\n \u3000\u3000\t<\/p>\n<li>0.3.1\u6570\u5b66\u4f5c\u4e3a\u601d\u7ef4\u7684\u8bed\u8a00\u548c\u63cf\u8ff0\u73b0\u5b9e\u7684\u8bed\u8a00\u3001\u6570\u5b66\u5efa\u6a21<\/li>\n<p>\u601d\u8003\u7684\u8bed\u8a00\uff0c\u96c6\u5408\u3001\u6620\u5c04\u7684\u8bed\u8a00\u7684\u91cd\u8981\u6027<br \/>\n\u4e3e\u4f8b\uff1a\u201c\u82f9\u679c\u7684\u52a0\u6cd5\u8fd0\u7b97\u201d\u5230\u5e95\u662f\u5b9a\u4e49\u5728\u54ea\u4e00\u4e2a\u96c6\u5408\u4e0a\u7684\u8fd0\u7b97\uff1a\u82f9\u679c\u7684\u96c6\u5408\u3001\u82f9\u679c\u6570\u91cf\u7684\u96c6\u5408\u3001\u8fd8\u662f\u5e42\u96c6<br \/>\n\u4ece\u4e8b\u7269\u4e2d\u62bd\u8c61\u51fa\u5173\u7cfb\uff0c\u628a\u5173\u7cfb\u6574\u7406\u6210\u4e3a\u6570\u5b66\u7ed3\u6784\uff0c\u627e\u5230\u4e00\u4e2a\u4e8b\u7269\u81ea\u8eab\u6700\u5207\u5408\u7684\u6570\u5b66\u7ed3\u6784<br \/>\n\u4e3e\u4f8b\uff1a\u4f4d\u7f6e\u5750\u6807\u5b58\u5728\u52a0\u6cd5\u8fd0\u7b97\u5417\uff0c\u8fd8\u662f\u4f4d\u79fb\u77e2\u91cf\uff1f\u77e2\u91cf\u52a0\u6cd5\u7684\u4e00\u822c\u6027\u548c\u4e3e\u4f8b<br \/>\n\u4e3e\u4f8b\uff1a\u4ea4\u6362\u5f8b\u4e0d\u6ee1\u8db3\u7684\u64cd\u4f5c\uff08\u7ffb\u8f6c\u4e09\u89d2\u5f62\uff09\uff0c\u77e9\u9635<br \/>\n\u7ed9\u4e8b\u7269\u7684\u72b6\u6001\uff0c\u4e8b\u7269\u7684\u72b6\u6001\u7684\u53d8\u5316\u2014\u2014\u4e5f\u5c31\u662f\u72b6\u6001\u4e0a\u7684\u64cd\u4f5c\uff0c\u627e\u6700\u5408\u9002\u7684\u6570\u5b66\u7ed3\u6784<br \/>\n\u4e3e\u4f8b\uff1a\u4f4d\u79fb\u7684\u77e2\u91cf\u6a21\u578b\uff0c\u8fd0\u52a8\u7269\u4f53\u7684\u8d28\u70b9\u6a21\u578b<br \/>\n\u3000\u3000 \t<\/p>\n<li>0.3.2 \u79d1\u5b66\u7684\u5b9e\u7528\u4e3b\u4e49\u548c\u79d1\u5b66\u7684\u53ef\u8bc1\u4f2a\u6027<\/li>\n<p>\u79d1\u5b66\u4e3a\u73b0\u5b9e\u63d0\u4f9b\u4e86\u53ef\u8ba1\u7b97\u7684\u53ef\u8bc1\u4f2a\uff08\u4f46\u662f\u8fc4\u4eca\u4e3a\u6b62\u8fd8\u6ca1\u6709\u88ab\u8bc1\u4f2a\u7684\uff09\u5fc3\u667a\u6a21\u578b<br \/>\n\u3000\u3000 \t<\/p>\n<li>0.3.3 \u5f52\u7eb3\u4e0e\u6f14\u7ece\u7684\u903b\u8f91<\/li>\n<p>\u5f52\u7eb3\u7684\u4f5c\u7528\u548c\u5c40\u9650\uff0c\u5929\u4e0b\u4e4c\u9e26\u4e00\u822c\u9ed1\uff0c\u5f52\u7eb3\u5f53\u505a\u6982\u7387\u6027\u63a8\u7406\n               <\/ul>\n<\/ul>\n<li>\u7b2c\u4e00\u7ae0 \u6570\u5b66\u5efa\u6a21\u5f15\u8bba\uff083\u5b66\u65f6\uff09\n<ul>\n<li>1.1 \u6570\u5b66\u5efa\u6a21\u7684\u4e00\u822c\u8fc7\u7a0b<\/li>\n<p>\u7ecf\u9a8c\uff0c\u4f53\u9a8c\uff0c\u6df1\u5165\u7406\u89e3\u73b0\u8c61\uff0c\u5bf9\u4e8e\u5efa\u6a21\u7684\u91cd\u8981\u6027\u3002\u73b0\u5b9e\u4e16\u754c\u7684\u8f93\u5165\uff0c\u901a\u8fc7\u5b9e\u9a8c\u89c2\u5bdf(\u5efa\u7acb\u540e\u68c0\u9a8c)\u3001\u7ecf\u9a8c(\u542f\u53d1\u5efa\u7acb\u8fc7\u7a0b\uff0c\u4e3b\u8981\u56e0\u7d20\u7684\u9009\u62e9)\u3002\u6570\u5b66\u7ed3\u6784\u51c6\u5907\u3002\u8fd8\u6709\u6a21\u578b\u601d\u7ef4\uff08\u7528\u6a21\u578b\u53bb\u63cf\u8ff0\u4e16\u754c\u7684\u4e60\u60ef\u548c\u610f\u613f\uff0c\u4ee5\u53ca\u80fd\u529b\uff09\u3002\u5269\u4e0b\u7684\u5c31\u662f\u903b\u8f91\u3002\u65e0\u8bba\u6c42\u89e3\u8fc7\u7a0b\u591a\u4e48\u590d\u6742\uff0c\u90fd\u662f\u6280\u672f\u3002\u6a21\u578b\u548c\u6a21\u578b\u7684\u7ed3\u679c\u662f\u6536\u96c6\u6570\u636e\uff0c\u8fdb\u4e00\u6b65\u6539\u8fdb\u7684\u57fa\u7840\u3002\u89c2\u5bdf\u6d4b\u91cf\u4f53\u9a8c\u73b0\u8c61\uff0c\u505a\u5047\u8bbe(\u786e\u5b9a\u4e3b\u8981\u56e0\u7d20\uff0c\u786e\u5b9a\u4e3b\u8981\u56e0\u7d20\u7684\u6570\u5b66\u63cf\u8ff0\uff0c\u751a\u81f3\u4f30\u8ba1\u4e3b\u8981\u56e0\u7d20\u7684\u503c)\uff0c\u6784\u5efa\u6a21\u578b\uff0c\u6c42\u89e3\u6a21\u578b\uff0c\u9760\u5b9e\u9a8c\u548c\u89c2\u5bdf\u6765\u68c0\u9a8c\u6a21\u578b\u3002\u5fc5\u8981\u7684\u65f6\u5019\u91cd\u65b0\u6765\u4e00\u8f6e\u3002<br \/>\n\u5b9e\u9645\u4e0a\u8bfe\u5802\u4e0a\u80fd\u4f53\u9a8c\u7684\u6ca1\u6709\u89c2\u5bdf\u7684\u90e8\u5206\u3002\u6240\u4ee5\uff0c\u8981\u914d\u5408\u8bfe\u7a0b\u9879\u76ee\u6765\u5b9e\u73b0\u6559\u5b66\u76ee\u7684\u3002<br \/>\n\u4e3e\u4f8b\u5b50\uff1a\u51b3\u7b56\u6a21\u578b\u7684\u53d1\u5c55\u5386\u53f2\u548c\u5173\u952e\u70b9\uff08\u7b80\u5355\u6548\u7528\u51fd\u6570\u548c\u6700\u4f18\u89e3\uff0c\u590d\u6742\u6548\u7528\u51fd\u6570\u548c\u66f4\u4f18\u89e3\uff0c\u591a\u4e3b\u4f53\u89c4\u5219\u6a21\u578b\uff0c\u5efa\u6a21\u5230\u5e95\u4e3a\u4e86\u4ec0\u4e48\uff0c\u7406\u89e3\u73b0\u8c61\u5417\uff1f\uff09\uff0c\u7b80\u5355\u9610\u8ff0\uff0c\u540e\u7eed\u5c55\u5f00<\/p>\n<li>1.2\u6570\u5b66\u548c\u6570\u5b66\u5efa\u6a21\u7684\u5173\u7cfb<\/li>\n<p>\u6570\u5b66\u662f\u4e00\u4e2a\u4ece\u6700\u5c11\u91cf\u7684\u5fc5\u8981\u7684\u5047\u8bbe\u51fa\u53d1\u901a\u8fc7\u4eba\u7c7b\u601d\u7ef4\u6765\u6784\u5efa\u81ea\u6d3d\u7684\u6709\u7cfb\u7edf\u7684\u6570\u5b66\u7ed3\u6784\u7684\u5b66\u79d1\u3002\u5728\u8fd9\u91cc\uff0c\u6570\u5b66\u662f\u601d\u7ef4\u7684\u8bed\u8a00\uff0c\u5177\u6709\u660e\u786e\u542b\u4e49\u7684\uff0c\u5e2e\u52a9\u505a\u4e25\u5bc6\u7684\u63a8\u7406\u7684\u8bed\u8a00\u3002\u4e0d\u9700\u8981\u73b0\u5b9e\u4e16\u754c\u6765\u68c0\u9a8c\uff0c\u53ea\u9700\u8981\u81ea\u6d3d\u3002\u540c\u65f6\uff0c\u901a\u8fc7\u6570\u5b66\u5efa\u6a21\uff0c\u6570\u5b66\u4e3a\u63cf\u8ff0\u73b0\u5b9e\u63d0\u4f9b\u8bed\u8a00\uff0c\u6216\u8005\u53d7\u73b0\u5b9e\u542f\u53d1\u63d0\u51fa\u65b0\u7684\u6570\u5b66\u7ed3\u6784\u3002\u4f46\u662f\uff0c\u8981\u6ce8\u610f\uff0c\u8fd9\u4e2a\u65f6\u5019\uff0c\u6570\u5b66\u662f\u73b0\u5b9e\u7684\u8868\u793a\uff0c\u800c\u4e0d\u662f\u73b0\u5b9e\u81ea\u8eab\uff0c\u5f88\u53ef\u80fd\u5305\u542b\u5f88\u591a\u8fd1\u4f3c\u3002\u6570\u5b66\u662f\u73b0\u5b9e\u4e16\u754c\u7684\u865a\u50cf\uff0c\u8fd8\u662f\u8bf4\u73b0\u5b9e\u4e16\u754c\u662f\u6570\u5b66\u7684\u5b9e\u50cf\uff08\u6295\u5f71\uff09\u3002\u6c42\u89e3\u6a21\u578b\u9700\u8981\u6df1\u523b\u7406\u89e3\u6216\u8005\u521b\u9020\u6570\u5b66\u77e5\u8bc6\u3002<br \/>\n\u4e3e\u4f8b\u5b50\uff1a\u5f15\u529b\u6a21\u578b\u7684\u53d1\u5c55\u5386\u7a0b\u548c\u5173\u952e\u70b9\u3001\u91cf\u529b\u6001\u7684\u6570\u5b66\u6a21\u578b\uff0c\u7b80\u5355\u9610\u8ff0\uff0c\u540e\u7eed\u5c55\u5f00\n       <\/ul>\n<li>\u7b2c\u4e8c\u7ae0 \u63d0\u70bc\u548c\u76f8\u5173\u56e0\u7d20\u7684\u5047\u8bbe\uff1a\u7b80\u5355\u6570\u5b66\u6a21\u578b\u7684\u5a01\u529b\uff086\u5b66\u65f6\uff09\n<ul>\n<li>2.1\u7b80\u5355\u6a21\u578b\u80cc\u540e\u7684\u5047\u8bbe<\/li>\n<p>\u6570\u82f9\u679c\uff0c\u6570\u9e21\u86cb\uff0c\u6570\u88ab\u5f15\u6b21\u6570<\/p>\n<li>2.2 \u7b80\u5355\u6a21\u578b\u7684\u5927\u610f\u4e49<\/li>\n<p>\u52a8\u7269\u65b0\u9648\u4ee3\u8c22\u7684\u901f\u5ea6\uff0c\u690d\u7269\u5462\uff1f\u6bd4\u4f8b\u6a21\u578b<\/p>\n<li>2.3\u7c97\u7cd9\u6a21\u578b\u7684\u5a01\u529b<\/li>\n<p>\u91cf\u7eb2\u5206\u6790\uff0c\u786e\u5b9a\u76f8\u5173\u56e0\u7d20\u5f97\u5230\u7684\u4e3a\u4f8b<\/p>\n<li>2.4 \u72ec\u7acb\u4e8b\u4ef6\u7684\u5efa\u6a21<\/li>\n<p>\u72ec\u7acb\u4e8b\u4ef6\u7684\u9ad8\u65af\u5206\u5e03\u53ca\u5176\u76f8\u5173\u6a21\u578b\uff0c\u4e2d\u5fc3\u6781\u9650\u5b9a\u7406\uff0c\u4ece\u9884\u5b9e\u9a8c\u4f30\u8ba1\u88ab\u8bd5\u6570\u91cf\uff0c\u521b\u65b0\u4eba\u624d\u548c\u5747\u503c\uff0c\u6982\u7387\u5206\u5e03\u51fd\u6570\u7684\u5bbd\u5ea6\u7684\u610f\u4e49\n        <\/ul>\n<li>\u7b2c\u4e09\u7ae0 \u56e0\u7d20\u4e4b\u95f4\u7684\u56e0\u679c\u5173\u7cfb\uff1a\u529b\u5b66\u4e16\u754c\u89c2\u548c\u52a8\u529b\u5b66\u6a21\u578b\uff084\u5b66\u65f6\uff09\n<ul>\n<li>3.1 \u5f15\u529b\u6a21\u578b\u7684\u53d1\u5c55\u548c\u529b\u5b66\u4e16\u754c\u89c2<\/li>\n<p>\u4f4d\u7f6e\u548c\u52a8\u91cf\u72b6\u6001\u3001\u72b6\u6001\u6f14\u5316\u548c\u6f14\u5316\u7684\u539f\u56e0\uff0c\u5f15\u529b\u6a21\u578b\u7684\u53d1\u5c55\u5386\u7a0b\uff0c\u5fae\u79ef\u5206\u7684\u53d1\u660e<br \/>\n\u63cf\u8ff0\u6027\u548c\u89e3\u91ca\u6027\u6a21\u578b\uff08\u672c\u8d28\u4e0a\u8fd8\u662f\u63cf\u8ff0\uff09\uff0c\u79d1\u5b66\u4e0d\u56de\u7b54\u771f\u6b63\u7684\u4e3a\u4ec0\u4e48\u7684\u95ee\u9898\uff0c\u53ea\u5173\u5fc3\u5bf9\u6bd4\u6a21\u578b\u548c\u73b0\u5b9e\u7684\u7ed3\u679c\uff0c\u4ee5\u53ca\u5e0c\u671b\u6a21\u578b\u7684\u5047\u8bbe\u8d8a\u5c11\u8d8a\u597d\uff0c\u6a21\u578b\u8d8a\u666e\u9002\u8d8a\u597d<\/p>\n<li>3.2 \u529b\u5b66\u4e16\u754c\u7684\u5ef6\u4f38\uff1a\u5176\u4ed6\u52a8\u529b\u5b66\u6a21\u578b<\/li>\n<p>\u4e3e\u4f8b\uff0c\u866b\u53e3\u6a21\u578b\uff0c\u6355\u98df\u8005\uff0d\u88ab\u6355\u98df\u8005\u6a21\u578b\uff0c\u519b\u4e8b\uff0c\u75be\u75c5\u4f20\u64ad\n        <\/ul>\n<li>\u7b2c\u56db\u7ae0 \u8d70\u5411\u76f8\u4e92\u4f5c\u7528\u7684\u5efa\u6a21\uff1a\u5206\u89e3\u3001\u7efc\u5408\u3001\u7cfb\u8054\uff0814\u5b66\u65f6\uff09\n<ul>\n<li>4.1\u591a\u968f\u673a\u56e0\u7d20\u76f8\u4e92\u4f5c\u7528\u548c\u6982\u7387\u56fe\u6a21\u578b<\/li>\n<p>\u8d85\u8d8a\u72ec\u7acb\u4e8b\u4ef6\uff0c\u8d70\u5411\u76f8\u4e92\u4f5c\u7528\u3002\u53cd\u63a8\u4fe1\u606f\u548c\u8d1d\u53f6\u65af\u516c\u5f0f\u3002\u53cd\u5411\u63a8\u65ad\u6982\u7387\u56fe\u6a21\u578b\uff0c\u7528\u4e8e\u4ece\u6982\u5ff5\u540c\u65f6\u8ba4\u8bc6\u7684\u6570\u636e\u4e2d\u83b7\u5f97\u6982\u7387\u56fe<\/p>\n<li>4.2\u7f51\u7edc\u5efa\u6a21<\/li>\n<p>\u5177\u6709\u76f8\u4e92\u4f5c\u7528\u7684\u4e2a\u4f53\u7684\u96c6\u5408\uff0c\u7f51\u7edc\u5178\u578b\u5206\u6790\u7684\u9002\u7528\u6027\uff0c\u7f51\u7edc\u5efa\u6a21\u4e3e\u4f8b<\/p>\n<li>4.3 \u793e\u4f1a\u5b66\u4e60\u73b0\u8c61\u548c\u6a21\u578b<\/li>\n<p>\u5e7f\u544a\uff0c\u4fe1\u606f\u548c\u540c\u4f34\u538b\u529b\u5bfc\u81f4\u7684\u4fe1\u606f\u584c\u7f29\u3002\u9700\u8981\u591a\u5c11\u4e2a\u4eba\u6765\u8bef\u5bfc\u548c\u6a21\u578b\u53c2\u6570\u7684\u5173\u7cfb<\/p>\n<li>4.4 \u51b3\u7b56\u884c\u4e3a\u7684\u5efa\u6a21<\/li>\n<p>\u4ece\u51b3\u7b56\u6a21\u578b\u5230\u535a\u5f08\u6a21\u578b\uff0c\u504f\u597d\u51fd\u6570\u548c\u6700\u4f18\u5316\uff0c\u5e26\u6709\u968f\u673a\u56e0\u7d20\u7684\u51b3\u7b56\u6a21\u578b\uff0c\u5176\u4ed6\u504f\u597d\u56e0\u7d20\uff0c\u4e0d\u4e00\u5b9a\u6700\u4f18\u5316\uff0c\u5f7b\u5e95\u653e\u5f03\u8fd9\u6761\u8def\uff1f\u591a\u4e3b\u4f53\u884c\u4e3a\u89c4\u5219\u6a21\u578b\u3002\u89c4\u5219\u5316\uff0c\u89c4\u5219\u54ea\u91cc\u6765\uff1f<\/p>\n<li>4.5 \u77e2\u91cf\u548c\u77e9\u9635\u7684\u5b9e\u50cf<\/li>\n<p>\u8bed\u8a00\u7684\u77e2\u91cf\u6a21\u578b\u3001\u91cf\u5b50\u6001\u7684\u77e2\u91cf\u6a21\u578b\u3001Markov\u8fc7\u7a0b\u3001\u6982\u7387\u56fe\u6a21\u578b\u3001\u95f4\u63a5\u8054\u7cfb\u3001Feynman\u56fe\u3001\u79d1\u5b66\u5b66\u4e2d\u7684\u77e9\u9635\u3002<br \/>\n\u900f\u8fc7\u73b0\u8c61\u4e0a\u7684\u5dee\u5f02\u770b\u5230\u6570\u5b66\u7ed3\u6784\u7684\u76f8\u4f3c\u6027\u3002\u53cd\u8fc7\u6765\uff0c\u96be\u9053\u6570\u5b66\u7ed3\u6784\u7684\u76f8\u4f3c\u624d\u662f\u771f\u7684\u76f8\u4f3c\uff0c\u624d\u662f\u73b0\u5b9e\uff1f<\/p>\n<li>4.6\u795e\u7ecf\u7f51\u7edc\u5efa\u6a21<\/li>\n<p>\u9ed1\u7bb1\u5efa\u6a21\u3001\u65f6\u95f4\u5e8f\u5217\u3001\u4eba\u5de5\u795e\u7ecf\u7f51\u7edc\u5efa\u6a21\u4e3e\u4f8b\uff08\u80fd\u591f\u5224\u65ad\u597d\u574f\u7684\u5a01\u529b\ufffc\uff09<\/p>\n<li>4.7\u76f8\u4e92\u4f5c\u7528\u591a\u4f53\u7cfb\u7edf\u6a21\u578b\uff1amore is different<\/li>\n<p>\u632f\u52a8\u548c\u6ce2\u52a8\u3001\u751f\u547d\u6e38\u620f\u3001\u7c92\u5b50\u7684\u52a8\u91cf\u80fd\u91cf\u548c\u5bff\u547d\n       <\/ul>\n<li>\u7b2c\u4e94\u7ae0 \u518d\u8bba\u6570\u5b66\u6a21\u578b\uff082\u5b66\u65f6\uff09\n<ul>\n<li>5.1\u9ed1\u7bb1\u6a21\u578b\u548c\u673a\u5236\u6a21\u578b\uff1a\u6a21\u578b\u548c\u7406\u89e3<\/li>\n<p>\u795e\u7ecf\u7f51\u7edc\u5efa\u6a21\u3001\u591a\u4e3b\u4f53\u5efa\u6a21\u3001\u673a\u5236\u5efa\u6a21\u7684\u533a\u522b\u548c\u8054\u7cfb\u3002\u79d1\u5b66\u548c\u7406\u89e3\u7684\u5173\u7cfb\u3002<\/p>\n<li>5.2 \u505a\u4e00\u4e2a\u6a21\u578b\u601d\u8003\u8005<\/li>\n<p>\u5efa\u6a21\u7684\u7406\u5ff5\u3001\u4e60\u60ef\u548c\u80fd\u529b\u3002\u65f6\u65f6\u523b\u523b\u51c6\u5907\u7740\u5efa\u6a21\u3002<\/p>\n<ul>\n<li><strong>\u4e3a\u4ec0\u4e48\u8981\u5efa\u6a21\uff1f<\/strong><\/li>\n<p>\u5f53\u4f60\u7ed9\u4e8b\u7269\u4e00\u4e2a\u540d\u5b57\u7684\u65f6\u5019\uff0c\u4f60\u5c31\u6709\u4e86\u8fd0\u7528\u8fd9\u4e2a\u4e8b\u7269\u6765\u601d\u8003\u7684\u80fd\u529b\uff0c\u6a21\u578b(\u80cc\u540e\u7684\u73b0\u8c61\uff0c\u5047\u8bbe\uff0c\u6570\u5b66\u7ed3\u6784\uff0c\u6c42\u89e3\uff0c\u601d\u8003)\uff0c\u6210\u4e3a\u8fdb\u4e00\u6b65\u601d\u8003\u7684\u57fa\u7840\u3002\u52a8\u529b\u5b66\u7684\u6a21\u578b\uff0c\u63cf\u8ff0\u6027\u7684\u6a21\u578b\uff0c\u52a8\u529b\u5b66\u7684\u4e3a\u4ec0\u4e48\u548c\u771f\u6b63\u7684\u4e3a\u4ec0\u4e48\u3002\u79d1\u5b66\u4e0d\u56de\u7b54\u771f\u6b63\u7684\u4e3a\u4ec0\u4e48\uff0c\u53ea\u56de\u7b54\u52a8\u529b\u5b66\u5c42\u6b21\u7684\u4e3a\u4ec0\u4e48\uff0c\u53ea\u5173\u5fc3\u6a21\u578b\u548c\u73b0\u5b9e\u7684\u6d4b\u91cf\u7ed3\u679c\u7684\u5bf9\u6bd4\u3002\u6bcf\u4e00\u6b65\u90fd\u66f4\u52a0\u6709\u9053\u7406\uff0c\u5c24\u5176\u662f\u5047\u8bbe\u7684\u63d0\u51fa\u548c\u68c0\u9a8c\u3002<\/p>\n<li><strong>\u600e\u4e48\u5efa\u6a21\uff1f<\/strong><\/li>\n<p>\u5efa\u6a21\u7684\u4e00\u822c\u8fc7\u7a0b\uff1a\u89c2\u5bdf\u548c\u4f53\u9a8c\u3001\u63d0\u51fa\u5047\u8bbe\u3001\u627e\u5230\u5408\u9002\u7684\u6570\u5b66\u7ed3\u6784\u6765\u628a\u95ee\u9898\u8868\u8fbe\u6210\u4e00\u4e2a\u6570\u5b66\u95ee\u9898\u3001\u6c42\u89e3\u6570\u5b66\u95ee\u9898\u3001\u89e3\u7684\u68c0\u9a8c\u548c\u4f7f\u7528\uff0c\u56de\u53bb\u4fee\u6b63\u5047\u8bbe\u751a\u81f3\u8fdb\u4e00\u6b65\u7684\u89c2\u5bdf\u548c\u4f53\u9a8c\uff0c\u6570\u5b66\u6a21\u578b\u548c\u5efa\u6a21\u8fc7\u7a0b\u7684\u4e00\u822c\u5316\u7cfb\u7edf\u5316\u3002\u6570\u5b66\u77e5\u8bc6\u7684\u51c6\u5907\u3001\u73b0\u8c61\u7684\u6df1\u5165\u4f53\u9a8c\u3001\u968f\u65f6\u51c6\u5907\u5efa\u6a21\u7684\u601d\u60f3\u72b6\u6001\u3001\u79ef\u7d2f\u4e00\u4e9b\u5efa\u6a21\u7684\u7ecf\u9a8c\u548c\u53ef\u4f9b\u53c2\u8003\u7684\u6a21\u578b<\/p>\n<li><strong>\u4ec0\u4e48\u65f6\u5019\u5230\u5934\uff1f<\/strong><\/li>\n<p>\u7b80\u5355\u6027\u548c\u51c6\u786e\u6027\u7684\u76f8\u4e92\u534f\u8c03\u3002\u79d1\u5b66\u5c31\u662f\u5efa\u7acb\u73b0\u5b9e\u4e16\u754c\u7684\u6570\u5b66\u6a21\u578b\uff0c\u5e76\u4e14\u4fdd\u8bc1\u7b97\u51fa\u6765\u7684\u7ed3\u679c\u548c\u89c2\u6d4b\u7ed3\u679c\u5728\u8bef\u5dee\u8303\u56f4\u5185\u76f8\u7b26\uff0c\u5e76\u4e14\u5c3d\u53ef\u80fd\u7cfb\u7edf\u5316\uff08\u8d8a\u5c11\u7684\u5047\u8bbe\u548c\u57fa\u672c\u6982\u5ff5\u8d8a\u597d\uff09\uff0c\u5bf9\u4e00\u822c\u6027\u548c\u7cfb\u7edf\u6027\u7684\u8ffd\u6c42\u3002\n             <\/ul>\n<\/ul>\n<\/ul>\n<h3>\u6559\u6750\u4e0e\u5b66\u4e60\u8d44\u6e90<\/h3>\n<p>\u6559\u6750\uff1a<br \/>\nE.A Bender\u300aIntroduction to Mathematical Modeling\u300b<br \/>\nScott Page \u300aThe Model Thinker\u300b\uff08\u6a21\u578b\u601d\u7ef4\uff09\uff0c\u6709\u914d\u5957\u89c6\u9891\u8bfe\u7a0b<\/p>\n<p>\u53c2\u8003\u4e66\uff1a<br \/>\nW.I.B. Beveridge, \u300aThe Art of Scientific Investigation\u300b<br \/>\nKarl Popper \u300aThe Logic of Scientific Discovery\u300b<br \/>\nTimothy Gowers\uff0c\u300aMathematics: A Very Short Introduction\u300b<br \/>\nAlbert Einstein and Leopold Infeld\uff0c\u300aThe Evolution of Physics\u300b<br \/>\nRichard Feynman, \u300aThe Character of Physical Law\u300b<br \/>\nRichard Feynman\uff0c\u300aThe Feynman&#8217;s Lectures on Physics, III\u300b<br \/>\n\u5434\u91d1\u95ea\u300a\u6559\u7684\u66f4\u5c11\uff0c\u5b66\u5f97\u66f4\u591a\u300b\uff08<a href=\"http:\/\/www.systemsci.org\/jinshanw\/books\" target=\"_blank\" rel=\"noopener\">\u4e66\u7a3f<\/a>\uff09<br \/>\n\u5434\u91d1\u95ea \u300a\u4e8c\u80fd\u7ea7\u4f53\u7cfb\u4e0a\u7684\u91cf\u5b50\u529b\u5b66\u300b\uff08<a href=\"http:\/\/www.systemsci.org\/jinshanw\/books\" target=\"_blank\" rel=\"noopener\">\u4e66\u7a3f<\/a>\uff09<br \/>\n\u5434\u91d1\u95ea\u300a\u7cfb\u7edf\u79d1\u5b66\u5bfc\u5f15\u300b\uff08<a href=\"http:\/\/www.systemsci.org\/jinshanw\/books\" target=\"_blank\" rel=\"noopener\">\u4e66\u7a3f<\/a>\uff09<br \/>\n\u5434\u91d1\u95ea\u300a\u6570\u5b66\u5efa\u6a21\u5f15\u8bba\u300b\uff08<a href=\"http:\/\/www.systemsci.org\/jinshanw\/books\" target=\"_blank\" rel=\"noopener\">\u4e66\u7a3f<\/a>\uff0c<a href=\"http:\/\/shorturl.at\/wxzET\" target=\"_blank\" rel=\"noopener\">\u4e66\u7a3f\u516c\u4f17\u53f7\u7248\u672c<\/a>\uff09<\/p>\n<h3>\u8003\u6838\u65b9\u5f0f<\/h3>\n<p>\u8bfe\u7a0b\u8003\u6838\u5305\u62ec\u4ee5\u4e0b\u51e0\u9879\uff1a<br \/>\n\uff081\uff09\u4f5c\u4e1a\uff0840%\uff09<br \/>\n\uff082\uff09\u8bfe\u7a0b\u9879\u76ee\uff0840%\uff09<br \/>\n\uff083\uff09\u671f\u672b\u95ed\u5377\u8003\u8bd5\uff0820%\uff09<\/p>\n<p>\u5927\u7eb2\u8d77\u8349\u4eba\uff1a\u5434\u91d1\u95ea\uff0c\u72c4\u589e\u5982\uff0c\u90d1\u6e05\u534e<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8bfe\u7a0b\u540d\u79f0\uff1a \u6570\u5b66\u5efa\u6a21 \u82f1\u6587\u540d\u79f0\uff1aMathematical Modeling \u3010\u5148\u4fee\u8bfe\u8981\u6c42\u3011\u5fae\u79ef\u5206\u3001\u7ebf\u6027\u4ee3\u6570\uff0c\u6700 &hellip; <a href=\"https:\/\/www.systemsci.org\/jinshanw\/2020\/09\/02\/%e3%80%8a%e6%95%b0%e5%ad%a6%e5%bb%ba%e6%a8%a1%e3%80%8b%e8%af%be%e7%a8%8b%e5%a4%a7%e7%ba%b2\/\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">\u201c\u300a\u6570\u5b66\u5efa\u6a21\u300b\u8bfe\u7a0b\u5927\u7eb2\u201d<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/5135"}],"collection":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/comments?post=5135"}],"version-history":[{"count":13,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/5135\/revisions"}],"predecessor-version":[{"id":5155,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/posts\/5135\/revisions\/5155"}],"wp:attachment":[{"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/media?parent=5135"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/categories?post=5135"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.systemsci.org\/jinshanw\/wp-json\/wp\/v2\/tags?post=5135"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}