{"id":150263,"date":"2020-09-02T21:09:08","date_gmt":"2020-09-02T13:09:08","guid":{"rendered":"http:\/\/4563.org\/?p=150263"},"modified":"2020-09-02T21:09:08","modified_gmt":"2020-09-02T13:09:08","slug":"%e7%8e%b0%e5%9c%a8%e5%8f%af%e4%bb%a5%e5%9c%a8-python-%e4%b8%ad%e4%bd%bf%e7%94%a8-rubi-%e6%9d%a5%e8%a7%a3%e4%b8%8d%e5%ae%9a%e7%a7%af%e5%88%86%e4%ba%86%e4%b9%88%ef%bc%9f","status":"publish","type":"post","link":"http:\/\/4563.org\/?p=150263","title":{"rendered":"\u73b0\u5728\u53ef\u4ee5\u5728 Python \u4e2d\u4f7f\u7528 rubi \u6765\u89e3\u4e0d\u5b9a\u79ef\u5206\u4e86\u4e48\uff1f"},"content":{"rendered":"<div>\n<div>\n<div>\n<h1>                  \u73b0\u5728\u53ef\u4ee5\u5728 Python \u4e2d\u4f7f\u7528 rubi \u6765\u89e3\u4e0d\u5b9a\u79ef\u5206\u4e86\u4e48\uff1f               <\/h1>\n<p> <\/p>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : Hlianbobo <\/span>  <span><i><\/i> 21<\/span> <\/div>\n<div> <\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div isfirst=\"1\">                        \u662f\u4e0d\u662f pip \u8fd8\u4e0d\u80fd\u5b89\u88c5\u53ea\u80fd\u4ece GitHub \u4e0a\u4e0b\u8f7d\u5462\uff1f<br \/>The SymPy (Symbolic Python) CAS also intends to incorporate Rubi\u2019s integration rules. The code for Rubi is in the sympy\/integrals\/rubi subdirectory of the SymPy source-code on GitHub.<\/p>\n<p>https:\/\/rulebasedintegration.org\/downloadRubi.html      <\/p><\/div>\n<div> <b>\u5927\u4f6c\u6709\u8a71\u8aaa<\/b> (<span>7<\/span>)        <\/div>\n<div> <\/div>\n<\/p><\/div>\n<\/p><\/div>\n<ul>\n<li data-pid=\"2967905\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : necomancer <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>          <\/span> <\/div>\n<\/p><\/div>\n<div>                                                             \u4f60\u6709\u6ca1\u6709\u8bd5\u8fc7 Sage                                                            <\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"2967906\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u4e3b<\/span> <span>\u8cc7\u6df1\u5927\u4f6c : Hlianbobo <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>          <\/span> <\/div>\n<\/p><\/div>\n<div>                                                             @necomancer \u8c22\u8c22\u56de\u590d\u3002\u8c22\u8c22\u4e4b\u8def\u3002\u6211\u53bb\u77e5\u4e4e\uff0c\u548c\u767e\u5ea6\u641c\u4e86\u4e00\u5708\u3002\u5f88\u591a\u90fd\u8bf4 sage \u5728\u7b26\u53f7\u8fd0\u7b97\u65b9\u9762\u6bd4\u80a9 mathematica \u3002\u5f00\u6e90\u514d\u8d39\u3002\u800c\u4e14\u73b0\u5728\u5df2\u7ecf\u5230 9.0 \u7248\u672c\u4e86\u3002<br \/>\u4e8e\u662f\u4ea7\u751f\u4e86\u95ee\u9898 1\uff1a\u8fd9\u4e48\u597d\u7684\u4e00\u4e2a\u8f6f\u4ef6\uff0c\u4e14\u5f00\u6e90\u514d\u8d39\u3002\u5185\u7f51\u4e0a\u8bc4\u4ef7\u4e5f\u591a\u79ef\u6781\u6b63\u9762\u3002\u4f46\u662f\u4e3a\u4ec0\u4e48\u56fd\u5185\u6ca1\u6709\u6d41\u884c\u8d77\u6765\u3002\u5f62\u6210\u8fd9\u79cd\u5370\u8c61\u7684\u539f\u56e0\u662f\uff1a\u5728\u77e5\u4e4e\u641c\u7d22 python \u79ef\u5206 \u51fa\u6765\u7684\u5927\u90e8\u5206\u90fd\u4ecb\u7ecd sympy \u7684\u65b9\u6cd5\u3002\u5728\u77e5\u4e4e\u641c\u7d22\u201csagemath mathematica \u201d \u51fa\u6765\u7684\u5185\u5bb9\u8bc4\u8bba\u548c\u70b9\u8d5e\u90fd\u5f88\u5c11\u3002\u5728\u77e5\u4e4e\u76f4\u63a5\u641c\u7d22\u201csagemat\u201d\u8bdd\u9898\uff0c\u95ee\u9898\uff0c\u8bc4\u8bba\u70b9\u8d5e\u90fd\u4e0d\u591a\u3002\u8c46\u74e3\u548c\u4eac\u4e1c\u4e0a\u4e5f\u53ea\u627e\u5230\u4e86\u4e00\u672c\u4e2d\u6587\u4e66\u3002\u8fd9\u4e48\u597d\u7528\u53c8\u514d\u8d39\u7684\u8f6f\u4ef6\u6ca1\u7406\u7531\u8fd9\u6837\u554a\u3002\u662f\u4e0d\u662f\u6709\u4ec0\u4e48\u4e0d\u77e5\u9053\u7684\u5751\uff1f\u6c42\u8001\u5e08\u6307\u6559\u3002<\/p>\n<p>\u6211\u770b\u4e86 sage \u7684\u4ecb\u7ecd\uff1aW.Stein \u5728\u8bbe\u8ba1 Sage \u65f6\u610f\u8bc6\u5230\u4e86\u6709\u4e0d\u540c\u7684\u8bed\u8a00\uff08\u5305\u62ec\u6709 C \u3001C++\u3001Fortran \u548c Python \uff09\u7f16\u5199\u7684\u5927\u91cf\u73b0\u6210\u7684\u5927\u578b\u5f00\u6e90\u6570\u5b66\u8f6f\u4ef6\u53ef\u7528\u3002\u56e0\u6b64\uff0cSage \uff08\u7528 Python \u548c Cython \u5b9e\u73b0\u7684\uff09\u5c06\u6240\u6709\u4e13\u7528\u7684\u6570\u5b66\u8f6f\u4ef6\u96c6\u6210\u5230\u4e00\u4e2a\u901a\u7528\u7684\u63a5\u53e3\u800c\u4e0d\u662f\u4ece\u5934\u5f00\u53d1\u3002 <br \/> \u8fd8\u6709\u4e9b\u7f51\u4e0a\u6587\u7ae0\u8bf4 sympy \u4e5f\u662f sage \u7684\u4e00\u4e2a\u5b50\u96c6\u3002<br \/>\u4e8e\u662f\u4ea7\u751f\u4e86\u95ee\u9898 2\uff1a\u4ed6\u7684\u8f6f\u4ef6\u8d28\u91cf\u5982\u4f55\u63a7\u5236\u3002\u4f17\u591a\u5f00\u6e90\u8f6f\u4ef6\u5f88\u591a\u529f\u80fd\u90fd\u662f\u91cd\u5408\u7684\uff0c\u6bd4\u5982\u5f88\u591a\u5f00\u6e90\u5e93\u90fd\u53ef\u4ee5\u89e3\u4e0d\u5b9a\u79ef\u5206\u3002\u4f46\u662f\u80fd\u529b\u53c2\u5dee\u4e0d\u9f50\u3002\u4e14\u8fd9\u4e9b\u5f00\u6e90\u5e93\u672c\u8eab\u5411\u4e0b\u517c\u5bb9\u89c4\u5219\u4e0d\u4e00\u81f4\uff08\u6709\u4e9b\u5347\u7ea7\u5230\u65b0\u7248\u672c\uff0c\u539f\u6765\u57fa\u4e8e\u8001\u7248\u672c\u5199\u7684\u4ee3\u7801\u5c31\u4e0d\u80fd\u7528\u4e86\u3002\uff09\uff0c\u5347\u7ea7\u9891\u7387\u4e5f\u4e0d\u540c\u3002sage \u4f5c\u4e3a\u4e00\u6b3e\u8f6f\u4ef6\u5982\u4f55\u534f\u8c03\u8fd9\u4e9b\u95ee\u9898\uff0c\u6bd4\u5982\u6211\u5728\u8f6f\u4ef6\u4e2d\u6c42\u89e3\u4e0d\u5b9a\u79ef\u5206\uff0c\u4ed6\u4eec\u4ed6\u662f\u8c03\u7528 sympy\uff0c\u8fd8\u662f\u8c03\u7528\u5176\u4ed6\u652f\u6301\u7b26\u53f7\u8ba1\u7b97\u7684\u5e93\uff1f<\/p>\n<p> \u95ee\u9898 3\uff1a\u6700\u8fd1\u5728\u770b\u5fae\u79ef\u5206\u3002\u7279\u522b\u770b\u5230\u4e86\u201c\u5e94\u7528\u4e09\u89d2\u51fd\u6570\u516c\u5f0f\u7684\u79ef\u5206\u201d \u201c\u5173\u5343\u4e09\u89d2\u51fd\u6570\u7684\u5e55\u7684\u79ef\u5206\u201d \u8bb2\u89e3\u4e5f\u90fd\u770b\u5f97\u61c2\u3002\u4f46\u662f\u6211\u77e5\u9053\u5982\u679c\u4e0d\u505a\u9898\uff0c\u770b\u5230\u7c7b\u4f3c\u95ee\u9898\u80af\u5b9a\u50bb\u773c\u3002\u4e14\u7ae0\u8282\u672b\u5c3e\u4e5f\u8bf4\uff1a\u201c\u5373\u4f7f\u4f60\u638c\u63e1\u4e86\u6240\u6709\u7684\u65b9\u6cd5\uff0c\u5982\u679c\u4f60\u4e0d\u505a\u5927\u91cf\u7684\u7ec3\u4e60\uff0c\u90a3\u4e48\u9047\u5230\u5b9e\u9645\u95ee\u9898\u65f6\uff0c\u4f60\u8fd8\u662f\u4f1a\u9677\u5165\u6df7\u4e71\u3002\u786e\u4fe1\u901a\u8fc7\u5927\u91cf\u7684\u7ec3\u4e60\u540e\uff0c\u4f60\u80fd\u5e94\u4ed8\u5404\u79cd\u5404\u6837\u590d\u6742\u7684\u79ef\u5206\uff0c\u8fd9\u6837\u4f60<br \/>\u624d\u80fd\u591f\u5728\u8ba1\u7b97\u4e2d\u6709\u81ea\u4fe1\u8fd9\u65f6\u4f60\u5c31\u662f\u4e00\u4e2a\u975e\u5e38\u597d\u7684\u79ef\u5206\u8ba1\u7b97\u8005\u4e86\uff0e\u201d<br \/> \u6211\u5b66\u5fae\u79ef\u5206\uff0c\u662f\u4e3a\u5b66\u4e60\u6982\u7387\u548c\u7edf\u8ba1\u6253\u57fa\u7840\u3002\u4e0d\u662f\u4e3a\u4e86\u8003\u8bd5\u3002\u5f53\u7136\u5176\u4ed6\u5730\u65b9\u5982\u679c\u9700\u8981\u4e5f\u5e0c\u671b\u80fd\u5c06\u5fae\u79ef\u5206\u77e5\u8bc6\u201c\u7528\u201d\u8d77\u6765\u3002\u4f46\u662f\u9488\u5bf9\u6c42\u89e3\u79ef\u5206\u8fd9\u6837\u7684\u8fd0\u7b97\u77e5\u8bc6\u3002\u662f\u5237\u9898\u7528\u4eba\u8111\u638c\u63e1\u6bd4\u8f83\u5212\u7b97\uff1f\u8fd8\u662f\u53ef\u4ee5\u901a\u8fc7\u5b66\u4e60 mathematica \u6216 sage \u8fd9\u79cd\u8f6f\u4ef6\u6765\u53d8\u76f8\u638c\u63e1\u6bd4\u8f83\u5212\u7b97\u5462\uff1f\u54ea\u79cd\u5b66\u4e60\u6295\u5165\u4ea7\u51fa\u6bd4\u6bd4\u8f83\u9ad8\uff1f<\/p>\n<p> \u4ee5\u4e0a\u60f3\u542c\u542c\u8001\u5e08\u7684\u5efa\u8bae\uff0c\u5982\u6709\u6253\u6270\u8bf7\u5ffd\u7565\u672c\u56de\u590d\u3002                                                            <\/p><\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"2967907\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : necomancer <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>          <\/span> <\/div>\n<\/p><\/div>\n<div>                                                             \u770b\u4f60\u7684\u9700\u6c42\uff0c\u6211\u8fd9\u4e48\u8bf4\u5427\uff0cMathematica\uff0csage\uff0cmatlab \u90fd\u53ea\u662f\u5de5\u5177\uff0c\u54ea\u4e2a\u80fd\u7528\u7528\u54ea\u4e2a\uff0c\u90fd\u4f1a\u4e00\u70b9\uff0c\u90fd\u6ca1\u5fc5\u8981\u592a\u7cbe\u901a\uff0c\u66f4\u6ca1\u5fc5\u8981\u975e\u8981\u4e13\u6ce8\u54ea\u4e00\u4e2a\u3002\u4ece\u4f60\u7684\u8bf4\u6cd5\u4e0a\u770b\uff0c\u4f60\u597d\u50cf\u4e0d\u662f\u7814\u7a76\u6570\u5b66\u7684\u3002\u641e\u4e2a\u79ef\u5206\u8868\uff0c\u6ca1\u4e8b\u67e5\u5c31\u53ef\u4ee5\u4e86\u3002\u6570\u503c\u79ef\u5206\u5e38\u7528\u7684\u5c31\u90a3\u4e48\u51e0\u4e2a\u7b97\u6cd5\uff0c\u6bd4\u5982 simps,trapz\u2026\u2026\uff0c\u770b\u770b\u6570\u503c\u79ef\u5206\u7684\u539f\u7406\uff0c\u77e5\u9053\u5176\u655b\u6563\u9650\u5236\u5c31\u53ef\u4ee5\uff0c\u6bd4\u5982\u4ec0\u4e48\u573a\u5408 simps \u51c6\u786e\u3001\u4ec0\u4e48\u65f6\u5019 simps \u626f\u6de1\u7b49\u3002\u77e5\u9053\u5c31\u884c\u3002\u73b0\u6210\u7684\u5e93\u592a\u591a\u4e86\uff0cscipy \u3001matlab \u3001mathematica\u2026\u2026\u5565\u90fd\u6709\uff0c\u4f60\u66f4\u9700\u8981\u6ce8\u610f\u7684\u662f\u600e\u4e48\u7528\u3001\u4ec0\u4e48\u573a\u666f\u4e0b\u7528\u4ec0\u4e48\u3002<\/p>\n<p>Sage \u4e0d\u706b\u7684\u539f\u56e0\u6211\u4e5f\u4e0d\u77e5\u9053\u554a\uff0c\u662f\u56e0\u4e3a\u6ca1\u6709\u4e2d\u6587\u6587\u6863\uff1f\u8fd8\u662f\u6587\u6863\u8d28\u91cf\u6ca1\u6709\u5546\u4e1a\u8f6f\u4ef6\u9ad8\uff1f\u5404\u79cd\u5546\u4e1a\u8f6f\u4ef6\u6bd4\u5982 Mathematica \u4e2d\u6587\u6587\u6863\u5f88\u5389\u5bb3\u7684\uff0c\u8fd8\u80fd\u5728\u770b\u6587\u6863\u7684\u65f6\u5019\u8865\u5145\u5f88\u591a\u6570\u5b66\u77e5\u8bc6\uff0c\u4e0d\u50cf\u5f88\u591a\u5f00\u6e90\u8f6f\u4ef6\u7684\u5de5\u5177\uff0c\u662f\u4f60\u5f88\u61c2\u4e86\u624d\u80fd\u53bb\u7528\uff0c\u4e0d\u7136\u76ef\u7740\u6587\u6863\u770b\u534a\u5929\u4e5f\u770b\u4e0d\u660e\u767d\u4e00\u4e9b\u53c2\u6570\u7684\u610f\u601d\uff0c\u6bd4\u5982 scipy\uff0c\u6709\u7684\u80fd\u7ed9\u6307\u4e00\u4e2a wikipedia \u7684\u94fe\u63a5\u5c31\u4e0d\u9519\u4e86\u3002Sage \u7684\u5751\u6211\u5012\u662f\u6ca1\u592a\u89c1\u8fc7\u51e0\u4e2a\uff0c\u548c\u5546\u4e1a\u8f6f\u4ef6\u6bd4\uff0c\u81f3\u5c11\u6ca1\u6709 scipy \u7684 minimize\uff0ccurve_fit \u548c Mathmatica \u7684\u5dee\u8ddd\u90a3\u4e48\u5927\u3002\u4e0d\u8fc7\u6211\u4e5f\u53ea\u80fd\u7b97 Sage \u8f7b\u4e2d\u5ea6\u7528\u6237\uff0c\u6240\u4ee5\u4e5f\u8bf4\u4e0d\u51c6\u3002\u81f3\u4e8e sage \u6bcf\u90e8\u5206\u7528\u4ec0\u4e48\u5e93\u3001\u53c8\u6709\u4ec0\u4e48\u5fae\u8c03\u6539\u52a8\u7684\u6211\u4e5f\u4e0d\u6e05\u695a\uff0c\u6ca1\u67e5\u8fc7\uff0c\u4f5c\u4e3a\u7528\u6237\u6211\u66f4\u5173\u5fc3\u95ee\u9898\u662f\u5426\u80fd\u89e3\u51b3\uff0c\u53ea\u662f\u4ece\u624b\u611f\u4e0a\u8bf4\uff0csage \u6bd4 sympy \u597d\u4e00\u4e9b\u3002<\/p>\n<p>\u770b\u4f60\u7684\u63cf\u8ff0\uff0c\u57fa\u7840\u6570\u5b66\u5bf9\u4f60\u6765\u8bf4\u5b8c\u5168\u53ef\u4ee5\u4f5c\u4e3a\u4e00\u4e2a\u53ef\u4ee5\u4e0d\u6c42\u751a\u89e3\u7684\u5de5\u5177\uff0c\u4f60\u66f4\u9700\u8981\u7684\u662f\u7ad9\u5f97\u9ad8\u5c3f\u5f97\u8fdc\u3002\u4f46\u662f\u7ad9\u5f97\u9ad8\u9700\u8981\u4e00\u5b9a\u7a0b\u5ea6\u7684\u6570\u5b66\u77e5\u8bc6\uff0c\u5927\u6982\u626b\u4e86\u4e00\u773c\u4f60\u4e4b\u524d\u5e16\u5b50\u91cc\u8d34\u7684\u95ee\u9898\uff0c\u4f60\u73b0\u5728\u770b\u5230\u7684\u8fd9\u4e9b\u95ee\u9898\u5728\u6211\u770b\u6765\u90fd\u8fd8\u6ca1\u78b0\u5230\u7528\u5de5\u5177\u7684\u5730\u6b65\uff0c\u8fd8\u662f\u5f88\u57fa\u7840\u7684\uff0c\u5c5e\u4e8e\u76ef\u7740\u770b\u5c31\u5e94\u8be5\u77e5\u9053\u7ed3\u679c\u7684\u3002\u987a\u5e26\u4e00\u63d0\uff0c\u4f60\u8981\u5b66\u6982\u7387\u548c\u7edf\u8ba1\u662f\u6307\u5230\u4ec0\u4e48\u5730\u6b65\uff1f\u968f\u673a\u8fc7\u7a0b\u9785\u7406\u8bba\u5565\u7684\u8981\u5b66\u5417\uff1f\u4e0d\u8981\u7684\u8bdd\u751f\u5316\u73af\u8d22\u7c7b\u5fae\u79ef\u5206\u7684\u4e66\u4e70\u4e24\u672c\u770b\u770b\uff0c\u505a\u505a\u4e66\u540e\u9762\u4e60\u9898\u5c31\u5f97\u4e86\u3002\u5426\u5219\u5404\u79cd\u5206\u6790\u3001\u6d4b\u5ea6\u3001\u5e0c\u5c14\u4f2f\u7279\u7a7a\u95f4\u4e4b\u7c7b\u57fa\u7840\u6982\u5ff5\u8fd8\u662f\u8981\u61c2\u7684\uff0c\u90a3\u6570\u5b66\u5c31\u5f88\u523a\u6fc0\u4e86\u3002\u603b\u4e4b\u4e00\u53e5\u8bdd\uff0c\u4e3a\u4e86\u7528\u800c\u5b66\u7684\u5de5\u5177\uff0c\u6ca1\u5fc5\u8981\u592a\u7cbe\uff0c\u56e0\u4e3a\u6709\u5404\u79cd\u597d\u7528\u7684\u5de5\u5177\u6240\u4ee5\u53ef\u4ee5\u4e0d\u6c42\u751a\u89e3\uff1b\u6700\u91cd\u8981\u7684\u662f\u4e00\u5b9a\u8981\u6709\u7ad9\u5f97\u9ad8\u5c3f\u7684\u8fdc\u7684\u89c6\u89d2\u4ee5\u53ca\u9047\u5230\u65b0\u95ee\u9898\u77e5\u9053\u4ece\u54ea\u91cc\u4e0b\u624b\u8865\u5145\u57fa\u672c\u77e5\u8bc6\u3001\u600e\u4e48\u5229\u7528\u751a\u81f3\u6539\u8fdb\u5de5\u5177\u6765\u89e3\u51b3\u624b\u5934\u7684\u95ee\u9898\u7684\u80fd\u529b\u3002                                                            <\/p><\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"2967908\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u4e3b<\/span> <span>\u8cc7\u6df1\u5927\u4f6c : Hlianbobo <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>          <\/span> <\/div>\n<\/p><\/div>\n<div>                                                             @necomancer \u611f\u89c9\u4f60\u662f\u771f\u61c2\u6211\uff0c\u56de\u590d\u7ed9\u6211\u5f88\u5927\u542f\u53d1\u3002\u5341\u5206\u611f\u8c22\uff01\u4e0d\u77e5\u9053\u4ee5\u4e0b\u95ee\u9898\u76ee\u524d\u7684\u6570\u5b66\u8f6f\u4ef6\u662f\u5426\u80fd\u7ed9\u51fa\u201c\u5b8c\u7f8e\u7b54\u6848\u201d http:\/\/www.mathchina.com\/bbs\/forum.php?mod=viewthread&amp;tid=2042007&amp;extra=<br \/>\u6211\u7528 sage \u8ba1\u7b97\u7ed9\u51fa\u7ed3\u679c\u4f46\u662f\u6ca1\u7ed9\u5b9a\u4e49\u57df\u3002<br \/>\u7c7b\u4f3c\u95ee\u9898\uff0c\u6c42\u4e0d\u5b9a\u79ef\u5206\u3002\u5927\u90e8\u5206\u51fd\u6570\u7684\u4e0d\u5b9a\u79ef\u5206\u662f\u4e00\u4e2a\u53cd\u5bfc\u6570\u2795c \u3002\u4e2a\u522b\u51fd\u6570\u7684\u4e0d\u5b9a\u79ef\u5206 \uff08\u6bd4\u5982 1\/x \uff09\u7ed3\u679c\u662f ln \uff5c x \uff5c+c\uff0c\u4f46\u662f\uff08 0\uff0coo \uff09\u662f c1\uff0c\u5728\uff08-oo\uff0c0 \uff09\u662f c2 \u3002<\/p>\n<p>\u7c7b\u4f3c\u4ee5\u4e0a\u4e24\u7c7b\u89e3\u6790\u89e3\u60c5\u51b5\u6bd4\u8f83\u590d\u6742\uff0c\u7275\u626f\u5230\u5b9a\u4e49\u57df\u7684\u95ee\u9898\u3002\u76ee\u524d\u7684\u8f6f\u4ef6\u80fd\u7ed9\u51fa\u5305\u542b\u5b9a\u4e49\u57df\u5dee\u522b\u7684\u201c\u5b8c\u6574\u201d\u7b54\u6848\u4e48\u3002\u5305\u62ec MMA \u548c sage \u3002                                                            <\/p><\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"2967909\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u4e3b<\/span> <span>\u8cc7\u6df1\u5927\u4f6c : Hlianbobo <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>          <\/span> <\/div>\n<\/p><\/div>\n<div>                                                             @necomancer \u201c\u770b\u4f60\u7684\u9700\u6c42\uff0c\u6211\u8fd9\u4e48\u8bf4\u5427\uff0cMathematica\uff0csage\uff0cmatlab \u90fd\u53ea\u662f\u5de5\u5177\uff0c\u54ea\u4e2a\u80fd\u7528\u7528\u54ea\u4e2a\uff0c\u90fd\u4f1a\u4e00\u70b9\uff0c\u90fd\u6ca1\u5fc5\u8981\u592a\u7cbe\u901a\uff0c\u66f4\u6ca1\u5fc5\u8981\u975e\u8981\u4e13\u6ce8\u54ea\u4e00\u4e2a\u3002\u201d\u4ed4\u7ec6\u4e00\u60f3\u786e\u5b9e\u5982\u6b64\u3002\u6211\u4e5f\u4e0d\u662f\u60f3\u6210\u4e3a\u67d0\u8f6f\u4ef6\u4f7f\u7528\u8fbe\u4eba\u53bb\u6388\u8bfe\u3002\u4f46\u662f\u6362\u4e2a\u89d2\u5ea6\u4e00\u60f3\uff0c\u62c5\u5fc3\u4e0d\u7cbe\u901a\u4f1a\u6389\u8fdb\u201c\u6c89\u9ed8\u9519\u8bef\u201d\u7684\u5751\u3002\u6bd4\u5982\u4e0a\u4e2a\u56de\u590d\u91cc\u90a3\u9053\u9898\uff0c\u8f6f\u4ef6\u7ed9\u51fa\u7684\u4e0d\u5b9a\u79ef\u5206\u7ed3\u679c\u53bb\u6c42\u5bfc\u9a8c\u8bc1\u4f3c\u4e4e\u4e5f\u662f\u5bf9\u7684\u3002\u4f46\u662f\u6ca1\u6709\u522b\u4eba\u7ed9\u51fa\u8ba1\u7b97\u8fc7\u7a0b\u5c31\u4f1a\u5ffd\u7565\u5b9a\u4e49\u57df\u7684\u95ee\u9898\u3002\u6bd4\u5982\u6211\u521a\u5b66\u5b8c\u6700\u5c0f\u4e8c\u4e58\u6cd5\u505a\u7ebf\u6027\u56de\u5f52\uff0c\u4ec0\u4e48\u6570\u636e\u54ea\u6765\u770b\u770b\u6563\u70b9\u56fe\u611f\u89c9\u6709\u7ebf\u6027\u5173\u7cfb\u90fd\u5148\u505a\u4e2a\u7ebf\u6027\u56de\u5f52\u3002\u540e\u6765\u7a0d\u5fae\u591a\u5b66\u70b9\uff0c\u624d\u77e5\u9053\u6709\u4ec0\u4e48\u7ebf\u6027\u76f8\u5173\uff0c\u81ea\u76f8\u5173\uff0c\u5e73\u7a33\u4e00\u5806\u95ee\u9898\u3002<\/p>\n<p> \u4ee5\u4e0a\u8bba\u8ff0\u662f\u60f3\u77e5\u9053\u4ee5\u6570\u5b66\u4e3a\u5de5\u5177\u7684\u4eba\u5728\u591a\u5927\u7a0b\u5ea6\u4e0a\u53ef\u4ee5\u4f9d\u9760\u8fd9\u4e9b\u6570\u5b66\u8f6f\u4ef6\uff0c\u4ee5\u53ca\u5bf9\u8fd9\u4e9b\u6570\u5b66\u8f6f\u4ef6\u638c\u63e1\u5230\u4ec0\u4e48\u7a0b\u5ea6\u624d\u53ef\u4ee5\u907f\u514d\u201c\u6c89\u9ed8\u9519\u8bef\u201d\uff08\u6bd4\u5982 MMA \u548c sage \u53ef\u80fd\u6709\u51fd\u6570\u53ef\u4ee5\u7ed9\u51fa\u4e0d\u5b9a\u79ef\u5206\u7ed3\u679c\u5b9a\u4e49\u57df\u533a\u95f4\uff0c\u53ea\u4e0d\u8fc7\u6211\u8fd8\u6ca1\u5b66\u5230\u800c\u5df2\uff09\u3002\u6709\u65f6\u9047\u5230\u62a5\u9519\u8fd8\u4e0d\u662f\u6700\u53ef\u6015\u7684\u4e8b\u60c5\u2026\u2026\u2026\u2026                                                            <\/p><\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"2967910\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : necomancer <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>          <\/span> <\/div>\n<\/p><\/div>\n<div>                                                             \u4f60\u60f3\u591a\u4e86\u5c11\u5e74\uff0c\u4f60\u5982\u679c**\u4e0d\u7814\u7a76\u6570\u5b66**\u7684\u8bdd\uff0c\u8fd9\u7c7b\u95ee\u9898\u51e0\u4e4e\u662f\u4e0d\u5b58\u5728\u7684\uff0c\u9664\u975e\u4f60\u5bf9\u57fa\u7840\u6982\u5ff5\u5b9e\u5728\u6ca1\u6709\u638c\u63e1\uff0c\u6bd4\u5982\u5fae\u79ef\u5206\u4e66\u91cc\u90fd\u4f1a\u63d0\u7684\u4e0d\u5199\u79ef\u5206\u5e38\u6570\u5bfc\u81f4 sinx=cosx \u8fd8\u662f 0=1 \u7684\u8bc1\u660e\u5565\u7684\u3002\u4f46\u5b9e\u9645\u95ee\u9898\u4e2d\uff0c\u4f60\u6c42\u4e2a\u5565\u4f18\u5316\u51fa\u6765\u4e24\u4e2a\u89e3\uff0c\u600e\u4e48\u5224\u5b9a\u662f\u6839\u636e\u95ee\u9898\u7684\uff0c\u4f8b\u5982\u5206\u5e03\u51fd\u6570\u90fd\u662f\u53ef\u79ef\u3001\u5e73\u65b9\u53ef\u79ef\uff0c\u5f02\u5e38\u89e3\u5f88\u5bb9\u6613\u770b\u51fa\u6765\uff1b\u6216\u8005\u66f4\u6781\u7aef\u4e00\u70b9\uff0c\u7269\u7406\u4e0a\u5927\u591a\u6570\u5173\u4e8e\u65f6\u95f4\u5565\u7684\u4f18\u5316\u95ee\u9898\u7ed9\u4f60\u4e00\u4e2a\u6b63\u89e3\u4e00\u4e2a\u8d1f\u89e3\u4e00\u4e2a\u590d\u6570\u89e3\uff0c\u60f3\u4e5f\u77e5\u9053\u8be5\u662f\u5565\u7b54\u6848\u3002\u81f3\u4e8e\u4e3a\u4ec0\u4e48\u5173\u4e8e\u65f6\u95f4\u5efa\u6a21\u7684\u95ee\u9898\u53ef\u4ee5\u89e3\u51fa\u6765\u590d\u6570\u548c\u8d1f\u6570\uff0c\u90a3\u662f\u6a21\u578b\u672c\u8eab\u7684\u95ee\u9898\uff0c\u8ba8\u8bba\u4e0b\u53bb\u5c31\u662f\u7eaf\u6570\u5b66\u9886\u57df\uff0c\u5982\u679c\u6a21\u578b\u6b7b\u6d3b\u6ca1\u6709\u6b63\u89e3\uff0c\u57fa\u672c\u4e0a\u662f\u6a21\u578b\u6709\u6bdb\u75c5\uff0c\u8bf7\u91cd\u65b0\u63a8\u516c\u5f0f\uff0c\u771f\u56e0\u4e3a\u4f60\u8bf4\u7684\u8fd9\u79cd\u5de5\u5177\u95ee\u9898\uff0c\u6211\u6a21\u578b\u5565\u90fd\u63a8\u5bf9\u4e86\uff0c\u6211\u4e5f\u4e86\u89e3\u95ee\u9898\u8981\u600e\u4e48\u53bb\u89e3\u51b3\uff0c\u4f46\u5de5\u5177\u7531\u4e8e\u8fd9\u4e9b\u64cd\u86cb\u7684\u5c3f\u6027\u89e3\u4e0d\u51fa\u6765\uff0c\u51e0\u4e4e\u662f\u4e0d\u53ef\u80fd\u53d1\u751f\u7684\u3002\u4e0d\u8fc7\u4f60\u786c\u8981\u8ffd\u6c42\u5230\u8fd9\u4e48\u7ec6\u81f4\u7684\u8bdd\u53bb\u770b Mathematica \u5427\uff0c\u5f88\u591a\u89e3\u5b83\u4f1a\u7ed9 ConditionalExpress \u5565\u7684\uff0c\u6bd4\u5982\u542b\u53c2\u79ef\u5206\u3002                                                            <\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"2967911\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u4e3b<\/span> <span>\u8cc7\u6df1\u5927\u4f6c : Hlianbobo <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>          <\/span> <\/div>\n<\/p><\/div>\n<div>                                                             @necomancer \u5b66\u4e60\u4e86\uff0c\u518d\u6b21\u611f\u8c22                                                            <\/div>\n<\/p><\/div>\n<\/li>\n<li>\n","protected":false},"excerpt":{"rendered":"<p>\u73b0\u5728\u53ef\u4ee5\u5728 Python \u4e2d\u4f7f\u7528 &hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[],"tags":[],"_links":{"self":[{"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts\/150263"}],"collection":[{"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=150263"}],"version-history":[{"count":0,"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts\/150263\/revisions"}],"wp:attachment":[{"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=150263"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=150263"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=150263"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}