{"id":1007251,"date":"2024-12-27T10:51:44","date_gmt":"2024-12-27T02:51:44","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/1007251.html"},"modified":"2024-12-27T10:51:47","modified_gmt":"2024-12-27T02:51:47","slug":"%e5%a6%82%e4%bd%95%e7%94%a8python%e5%ae%89%e8%a3%85sympy","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/1007251.html","title":{"rendered":"\u5982\u4f55\u7528python\u5b89\u88c5sympy"},"content":{"rendered":"

\"\u5982\u4f55\u7528python\u5b89\u88c5sympy\"<\/p>\n

\u8981\u5728Python\u4e2d\u5b89\u88c5SymPy\uff0c\u53ef\u4ee5\u4f7f\u7528Python\u7684\u5305\u7ba1\u7406\u5de5\u5177pip\u3001\u786e\u4fddPython\u73af\u5883\u6b63\u786e\u3001\u5b89\u88c5\u5b8c\u6210\u540e\u8fdb\u884c\u9a8c\u8bc1\u3002<\/strong>\u4ee5\u4e0b\u662f\u8be6\u7ec6\u7684\u6b65\u9aa4\u548c\u64cd\u4f5c\u65b9\u6cd5\u3002<\/p>\n<\/p>\n

\u4e00\u3001\u4f7f\u7528pip\u5b89\u88c5SymPy<\/h3>\n<\/p>\n

SymPy\u662f\u4e00\u4e2aPython\u5e93\uff0c\u56e0\u6b64\u6700\u7b80\u5355\u7684\u5b89\u88c5\u65b9\u6cd5\u662f\u4f7f\u7528pip\uff0c\u8fd9\u662fPython\u7684\u6807\u51c6\u5305\u7ba1\u7406\u5668\u3002<\/p>\n<\/p>\n

    \n
  1. \n

    \u5b89\u88c5Python\u548cpip<\/strong><\/p>\n<\/p>\n

    \u9996\u5148\uff0c\u786e\u4fdd\u5df2\u5728\u7cfb\u7edf\u4e0a\u5b89\u88c5\u4e86Python\u548cpip\u3002\u53ef\u4ee5\u901a\u8fc7\u5728\u547d\u4ee4\u884c\u4e2d\u8f93\u5165\u4ee5\u4e0b\u547d\u4ee4\u6765\u68c0\u67e5\uff1a<\/p>\n<\/p>\n

    python --version<\/p>\n
    pip --version<\/p>\n
    <\/code><\/pre>\n<\/p>\n
    \u5982\u679c\u672a\u5b89\u88c5\uff0c\u53ef\u4ee5\u4ecePython\u5b98\u65b9\u7f51\u7ad9\u4e0b\u8f7d\u5e76\u5b89\u88c5Python\uff0cpip\u901a\u5e38\u4f1a\u968fPython\u5b89\u88c5\u5305\u4e00\u8d77\u5b89\u88c5\u3002<\/p>\n<\/p>\n<\/li>\n
  2. \n
    \u5b89\u88c5SymPy<\/strong><\/p>\n<\/p>\n
    \u4f7f\u7528pip\u5b89\u88c5SymPy\u53ea\u9700\u4e00\u4e2a\u7b80\u5355\u7684\u547d\u4ee4\uff1a<\/p>\n<\/p>\n
    pip install sympy<\/p>\n
    <\/code><\/pre>\n<\/p>\n
    \u8fd9\u5c06\u4ecePython Package Index\uff08PyPI\uff09\u4e0b\u8f7d\u5e76\u5b89\u88c5SymPy\u53ca\u5176\u6240\u6709\u4f9d\u8d56\u9879\u3002<\/p>\n<\/p>\n<\/li>\n<\/ol>\n
    \u4e8c\u3001\u9a8c\u8bc1SymPy\u7684\u5b89\u88c5<\/h3>\n<\/p>\n
    \u5b89\u88c5\u5b8c\u6210\u540e\uff0c\u9700\u8981\u9a8c\u8bc1SymPy\u662f\u5426\u6b63\u786e\u5b89\u88c5\u3002<\/p>\n<\/p>\n
      \n
    1. \n
      \u542f\u52a8Python\u89e3\u91ca\u5668<\/strong><\/p>\n<\/p>\n
      \u5728\u547d\u4ee4\u884c\u4e2d\u8f93\u5165python<\/code>\u8fdb\u5165Python\u89e3\u91ca\u5668\u3002<\/p>\n<\/p>\n<\/li>\n
    2. \n
      \u5bfc\u5165SymPy<\/strong><\/p>\n<\/p>\n
      \u8f93\u5165\u4ee5\u4e0b\u547d\u4ee4\u4ee5\u5bfc\u5165SymPy\uff1a<\/p>\n<\/p>\n
      import sympy<\/p>\n
      <\/code><\/pre>\n<\/p>\n
      \u5982\u679c\u6ca1\u6709\u9519\u8bef\u4fe1\u606f\uff0c\u5219\u8bf4\u660eSymPy\u5df2\u6b63\u786e\u5b89\u88c5\u3002<\/p>\n<\/p>\n<\/li>\n
    3. \n
      \u6d4b\u8bd5SymPy\u529f\u80fd<\/strong><\/p>\n<\/p>\n
      \u53ef\u4ee5\u8fdb\u884c\u4e00\u4e9b\u7b80\u5355\u7684\u8ba1\u7b97\u6765\u6d4b\u8bd5SymPy\u7684\u529f\u80fd\uff1a<\/p>\n<\/p>\n
      from sympy import Symbol, solve<\/p>\n
      x = Symbol('x')<\/p>\n
      expr = x2 - 4<\/p>\n
      solutions = solve(expr, x)<\/p>\n
      print(solutions)<\/p>\n
      <\/code><\/pre>\n<\/p>\n
      \u5982\u679c\u8f93\u51fa\u4e3a[-2, 2]<\/code>\uff0c\u8bf4\u660eSymPy\u5de5\u4f5c\u6b63\u5e38\u3002<\/p>\n<\/p>\n<\/li>\n<\/ol>\n
      \u4e09\u3001\u786e\u4fddPython\u73af\u5883\u6b63\u786e<\/h3>\n<\/p>\n
        \n
      1. \n
        \u4f7f\u7528\u865a\u62df\u73af\u5883<\/strong><\/p>\n<\/p>\n
        \u5728\u5b89\u88c5SymPy\u6216\u5176\u4ed6\u5e93\u4e4b\u524d\uff0c\u5efa\u8bae\u521b\u5efa\u4e00\u4e2aPython\u865a\u62df\u73af\u5883\u3002\u8fd9\u53ef\u4ee5\u5e2e\u52a9\u907f\u514d\u4e0e\u5176\u4ed6\u9879\u76ee\u7684\u4f9d\u8d56\u51b2\u7a81\u3002\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u547d\u4ee4\u521b\u5efa\u548c\u6fc0\u6d3b\u865a\u62df\u73af\u5883\uff1a<\/p>\n<\/p>\n
        python -m venv myenv<\/p>\n
        source myenv\/bin\/activate   # \u5728Windows\u4e0a\u4f7f\u7528 `myenv\\Scripts\\activate`<\/p>\n
        <\/code><\/pre>\n<\/p>\n<\/li>\n
      2. \n
        \u5347\u7ea7pip\u548csetuptools<\/strong><\/p>\n<\/p>\n
        \u5728\u5b89\u88c5SymPy\u4e4b\u524d\uff0c\u786e\u4fddpip\u548csetuptools\u662f\u6700\u65b0\u7684\uff1a<\/p>\n<\/p>\n
        pip install --upgrade pip setuptools<\/p>\n
        <\/code><\/pre>\n<\/p>\n<\/li>\n<\/ol>\n
        \u56db\u3001\u89e3\u51b3\u5e38\u89c1\u5b89\u88c5\u95ee\u9898<\/h3>\n<\/p>\n
          \n
        1. \n
          \u7f51\u7edc\u95ee\u9898<\/strong><\/p>\n<\/p>\n
          \u5982\u679c\u5728\u5b89\u88c5\u8fc7\u7a0b\u4e2d\u9047\u5230\u7f51\u7edc\u95ee\u9898\uff0c\u53ef\u4ee5\u5c1d\u8bd5\u4f7f\u7528\u56fd\u5185\u955c\u50cf\u6e90\uff0c\u5982\u963f\u91cc\u4e91\u6216\u6e05\u534e\u5927\u5b66\u7684\u955c\u50cf\uff1a<\/p>\n<\/p>\n
          pip install sympy -i https:\/\/pypi.tuna.tsinghua.edu.cn\/simple<\/p>\n
          <\/code><\/pre>\n<\/p>\n<\/li>\n
        2. \n
          \u6743\u9650\u95ee\u9898<\/strong><\/p>\n<\/p>\n
          \u5982\u679c\u5728\u5b89\u88c5\u8fc7\u7a0b\u4e2d\u9047\u5230\u6743\u9650\u95ee\u9898\uff0c\u53ef\u4ee5\u5c1d\u8bd5\u4f7f\u7528sudo<\/code>\uff08\u5728Linux\u6216macOS\u4e0a\uff09\u6216\u4ee5\u7ba1\u7406\u5458\u8eab\u4efd\u8fd0\u884c\u547d\u4ee4\uff08\u5728Windows\u4e0a\uff09\uff1a<\/p>\n<\/p>\n
          sudo pip install sympy<\/p>\n
          <\/code><\/pre>\n<\/p>\n<\/li>\n
        3. \n
          \u4f9d\u8d56\u95ee\u9898<\/strong><\/p>\n<\/p>\n
          \u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\uff0c\u53ef\u80fd\u9700\u8981\u624b\u52a8\u5b89\u88c5\u7279\u5b9a\u7248\u672c\u7684\u4f9d\u8d56\u5e93\u3002\u53ef\u4ee5\u901a\u8fc7\u9605\u8bfb\u9519\u8bef\u4fe1\u606f\u6765\u627e\u51fa\u9700\u8981\u7684\u4f9d\u8d56\u9879\uff0c\u5e76\u4f7f\u7528pip\u5355\u72ec\u5b89\u88c5\u3002<\/p>\n<\/p>\n<\/li>\n<\/ol>\n
          \u4e94\u3001\u63a2\u7d22SymPy\u7684\u529f\u80fd<\/h3>\n<\/p>\n
            \n
          1. \n
            \u7b26\u53f7\u8ba1\u7b97<\/strong><\/p>\n<\/p>\n
            SymPy\u7684\u6838\u5fc3\u529f\u80fd\u662f\u7b26\u53f7\u8ba1\u7b97\uff0c\u53ef\u4ee5\u5904\u7406\u7b26\u53f7\u53d8\u91cf\u548c\u8868\u8fbe\u5f0f\uff1a<\/p>\n<\/p>\n
            from sympy import symbols, expand, simplify<\/p>\n
            x, y = symbols('x y')<\/p>\n
            expr = (x + y)2<\/p>\n
            expanded_expr = expand(expr)<\/p>\n
            simplified_expr = simplify(expanded_expr)<\/p>\n
            <\/code><\/pre>\n<\/p>\n
            \u7b26\u53f7\u8ba1\u7b97<\/strong>\u4f7f\u5f97\u6211\u4eec\u53ef\u4ee5\u8fdb\u884c\u4ee3\u6570\u8fd0\u7b97\u3001\u5fae\u79ef\u5206\u3001\u89e3\u65b9\u7a0b\u7b49\u590d\u6742\u8ba1\u7b97\u3002<\/p>\n<\/p>\n<\/li>\n
          2. \n
            \u65b9\u7a0b\u6c42\u89e3<\/strong><\/p>\n<\/p>\n
            SymPy\u63d0\u4f9b\u4e86\u5f3a\u5927\u7684\u65b9\u7a0b\u6c42\u89e3\u529f\u80fd\uff1a<\/p>\n<\/p>\n
            from sympy import Eq, solve<\/p>\n
            eq = Eq(x2 + 2*x + 1, 0)<\/p>\n
            solutions = solve(eq, x)<\/p>\n
            <\/code><\/pre>\n<\/p>\n
            \u53ef\u4ee5\u6c42\u89e3\u7ebf\u6027\u3001\u975e\u7ebf\u6027\u65b9\u7a0b\u4ee5\u53ca\u5fae\u5206\u65b9\u7a0b\u3002<\/p>\n<\/p>\n<\/li>\n
          3. \n
            \u5fae\u79ef\u5206\u8ba1\u7b97<\/strong><\/p>\n<\/p>\n
            SymPy\u652f\u6301\u5fae\u79ef\u5206\u8fd0\u7b97\uff0c\u5305\u62ec\u6c42\u5bfc\u3001\u79ef\u5206\u3001\u7ea7\u6570\u5c55\u5f00\u7b49\uff1a<\/p>\n<\/p>\n
            from sympy import diff, integrate, sin<\/p>\n
            derivative = diff(sin(x), x)<\/p>\n
            integral = integrate(sin(x), x)<\/p>\n
            <\/code><\/pre>\n<\/p>\n<\/li>\n
          4. \n
            \u77e9\u9635\u8fd0\u7b97<\/strong><\/p>\n<\/p>\n
            SymPy\u8fd8\u652f\u6301\u77e9\u9635\u8fd0\u7b97\uff0c\u53ef\u4ee5\u8fdb\u884c\u77e9\u9635\u7684\u52a0\u51cf\u4e58\u9664\u3001\u6c42\u9006\u3001\u7279\u5f81\u503c\u8ba1\u7b97\u7b49\uff1a<\/p>\n<\/p>\n
            from sympy import Matrix<\/p>\n
            A = Matrix([[1, 2], [3, 4]])<\/p>\n
            B = Matrix([[2, 0], [1, 2]])<\/p>\n
            product = A * B<\/p>\n
            <\/code><\/pre>\n<\/p>\n<\/li>\n
          5. \n
            \u53ef\u89c6\u5316<\/strong><\/p>\n<\/p>\n
            SymPy\u53ef\u4ee5\u7ed8\u5236\u51fd\u6570\u56fe\u5f62\uff0c\u4ee5\u5e2e\u52a9\u7406\u89e3\u51fd\u6570\u7684\u6027\u8d28\u548c\u884c\u4e3a\uff1a<\/p>\n<\/p>\n
            from sympy.plotting import plot<\/p>\n
            plot(x2, (x, -5, 5))<\/p>\n
            <\/code><\/pre>\n<\/p>\n<\/li>\n<\/ol>\n
            \u516d\u3001SymPy\u7684\u4f18\u52bf\u4e0e\u5c40\u9650<\/h3>\n<\/p>\n
              \n
            1. \n
              \u4f18\u52bf<\/strong><\/p>\n<\/p>\n
                \n
              • \u6613\u7528\u6027<\/strong>\uff1aSymPy\u7684API\u8bbe\u8ba1\u76f4\u89c2\uff0c\u6613\u4e8e\u5b66\u4e60\u548c\u4f7f\u7528\u3002<\/li>\n
              • \u7eafPython\u5b9e\u73b0<\/strong>\uff1aSymPy\u5b8c\u5168\u7528Python\u5b9e\u73b0\uff0c\u6613\u4e8e\u5b89\u88c5\u548c\u79fb\u690d\u3002<\/li>\n
              • \u529f\u80fd\u5168\u9762<\/strong>\uff1a\u652f\u6301\u5e7f\u6cdb\u7684\u6570\u5b66\u8ba1\u7b97\uff0c\u5305\u62ec\u7b26\u53f7\u4ee3\u6570\u3001\u5fae\u79ef\u5206\u3001\u77e9\u9635\u8fd0\u7b97\u7b49\u3002<\/li>\n<\/ul>\n<\/li>\n
              • \n
                \u5c40\u9650<\/strong><\/p>\n<\/p>\n
                  \n
                • \u6027\u80fd<\/strong>\uff1a\u7531\u4e8e\u662f\u7eafPython\u5b9e\u73b0\uff0cSymPy\u7684\u6027\u80fd\u53ef\u80fd\u4e0d\u5982\u5176\u4ed6\u7528C\/C++\u5b9e\u73b0\u7684\u6570\u5b66\u5e93\u3002<\/li>\n
                • \u590d\u6742\u6027\u9650\u5236<\/strong>\uff1a\u5bf9\u4e8e\u975e\u5e38\u590d\u6742\u7684\u6570\u5b66\u6a21\u578b\uff0cSymPy\u53ef\u80fd\u65e0\u6cd5\u9ad8\u6548\u5904\u7406\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n
                  \u901a\u8fc7\u4ee5\u4e0a\u6b65\u9aa4\u548c\u65b9\u6cd5\uff0c\u60a8\u53ef\u4ee5\u8f7b\u677e\u5730\u5728Python\u73af\u5883\u4e2d\u5b89\u88c5\u548c\u4f7f\u7528SymPy\u5e93\uff0c\u5e76\u5229\u7528\u5176\u5f3a\u5927\u7684\u529f\u80fd\u8fdb\u884c\u5404\u79cd\u6570\u5b66\u8ba1\u7b97\u3002\u65e0\u8bba\u662f\u5b66\u751f\u3001\u7814\u7a76\u4eba\u5458\u8fd8\u662f\u5de5\u7a0b\u5e08\uff0cSymPy\u90fd\u63d0\u4f9b\u4e86\u4e00\u4e2a\u4fbf\u6377\u7684\u5de5\u5177\u6765\u8fdb\u884c\u7b26\u53f7\u8ba1\u7b97\u548c\u6570\u5b66\u5206\u6790\u3002<\/p>\n<\/p>\n
                  \u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n
                   \u5982\u4f55\u786e\u8ba4\u6211\u7684Python\u73af\u5883\u9002\u5408\u5b89\u88c5SymPy\uff1f<\/strong>
                  \u5728\u5b89\u88c5SymPy\u4e4b\u524d\uff0c\u786e\u4fdd\u4f60\u7684Python\u7248\u672c\u4e3a3.6\u6216\u66f4\u9ad8\u7248\u672c\u3002\u53ef\u4ee5\u901a\u8fc7\u5728\u7ec8\u7aef\u6216\u547d\u4ee4\u63d0\u793a\u7b26\u4e2d\u8f93\u5165python --version<\/code>\u6765\u68c0\u67e5\u5f53\u524d\u7684Python\u7248\u672c\u3002\u6b64\u5916\uff0c\u5efa\u8bae\u4f7f\u7528\u865a\u62df\u73af\u5883\u6765\u7ba1\u7406\u4e0d\u540c\u9879\u76ee\u7684\u4f9d\u8d56\uff0c\u907f\u514d\u5e93\u4e4b\u95f4\u7684\u51b2\u7a81\u3002<\/p>\n
                  SymPy\u7684\u5b89\u88c5\u8fc7\u7a0b\u4e2d\u53ef\u80fd\u4f1a\u9047\u5230\u54ea\u4e9b\u5e38\u89c1\u95ee\u9898\uff1f<\/strong>
                  \u5728\u5b89\u88c5SymPy\u65f6\uff0c\u7528\u6237\u53ef\u80fd\u4f1a\u9047\u5230\u7f51\u7edc\u8fde\u63a5\u95ee\u9898\u6216\u6743\u9650\u4e0d\u8db3\u7684\u9519\u8bef\u3002\u5982\u679c\u9047\u5230\u7f51\u7edc\u95ee\u9898\uff0c\u53ef\u4ee5\u5c1d\u8bd5\u66f4\u6362\u955c\u50cf\u6e90\uff0c\u6bd4\u5982\u4f7f\u7528\u6e05\u534e\u5927\u5b66\u7684PyPI\u955c\u50cf\u3002\u5bf9\u4e8e\u6743\u9650\u4e0d\u8db3\uff0c\u53ef\u4ee5\u4f7f\u7528\u7ba1\u7406\u5458\u6743\u9650\u8fd0\u884c\u547d\u4ee4\u63d0\u793a\u7b26\uff0c\u6216\u8005\u5728Linux\/Mac\u7cfb\u7edf\u4e2d\u4f7f\u7528sudo<\/code>\u547d\u4ee4\u8fdb\u884c\u5b89\u88c5\u3002<\/p>\n
                  \u5b89\u88c5\u5b8c\u6210\u540e\uff0c\u6211\u5982\u4f55\u9a8c\u8bc1SymPy\u662f\u5426\u6210\u529f\u5b89\u88c5\uff1f<\/strong>
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