{"id":970124,"date":"2024-12-27T05:23:18","date_gmt":"2024-12-26T21:23:18","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/970124.html"},"modified":"2024-12-27T05:23:20","modified_gmt":"2024-12-26T21:23:20","slug":"python%e5%a4%9a%e6%ac%a1%e5%bc%8f%e5%a6%82%e4%bd%95%e8%a1%a8%e7%a4%ba","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/970124.html","title":{"rendered":"python\u591a\u6b21\u5f0f\u5982\u4f55\u8868\u793a"},"content":{"rendered":"

\"python\u591a\u6b21\u5f0f\u5982\u4f55\u8868\u793a\"<\/p>\n

\u5728Python\u4e2d\uff0c\u591a\u9879\u5f0f\u53ef\u4ee5\u901a\u8fc7\u4f7f\u7528\u5217\u8868\u3001NumPy\u5e93\u7684numpy.poly1d<\/code>\u7c7b\u3001SymPy\u5e93\u7684Poly<\/code>\u7c7b\u7b49\u591a\u79cd\u65b9\u5f0f\u6765\u8868\u793a\u3002\u4f7f\u7528\u5217\u8868\u3001\u4f7f\u7528NumPy\u5e93\u662f\u4e24\u79cd\u5e38\u89c1\u7684\u8868\u793a\u65b9\u6cd5\u3002<\/strong>\u4e0b\u9762\u5c06\u8be6\u7ec6\u4ecb\u7ecd\u5982\u4f55\u5728Python\u4e2d\u4f7f\u7528\u8fd9\u4e9b\u65b9\u6cd5\u8868\u793a\u591a\u9879\u5f0f\uff0c\u5e76\u63a2\u8ba8\u6bcf\u79cd\u65b9\u6cd5\u7684\u4f18\u7f3a\u70b9\u53ca\u9002\u7528\u573a\u666f\u3002<\/p>\n<\/p>\n

\u4e00\u3001\u4f7f\u7528\u5217\u8868\u8868\u793a\u591a\u9879\u5f0f<\/p>\n<\/p>\n

\u5728Python\u4e2d\uff0c\u6700\u7b80\u5355\u7684\u65b9\u6cd5\u662f\u4f7f\u7528\u5217\u8868\u6765\u8868\u793a\u591a\u9879\u5f0f\u3002\u5217\u8868\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20\u4ee3\u8868\u591a\u9879\u5f0f\u7684\u4e00\u4e2a\u7cfb\u6570\uff0c\u5217\u8868\u7684\u7d22\u5f15\u4ee3\u8868\u5bf9\u5e94\u7684\u5e42\u6b21\u3002\u4f8b\u5982\uff0c3x^2 + 2x + 1<\/code> \u53ef\u4ee5\u8868\u793a\u4e3a [1, 2, 3]<\/code>\uff0c\u5176\u4e2d1<\/code>\u662f\u5e38\u6570\u9879\uff0c2<\/code>\u662f\u4e00\u6b21\u9879\u7684\u7cfb\u6570\uff0c3<\/code>\u662f\u4e8c\u6b21\u9879\u7684\u7cfb\u6570\u3002<\/p>\n<\/p>\n

    \n
  1. \u4f7f\u7528\u5217\u8868\u8868\u793a\u7684\u4f18\u7f3a\u70b9<\/li>\n<\/ol>\n

    \u4f7f\u7528\u5217\u8868\u8868\u793a\u591a\u9879\u5f0f\u975e\u5e38\u76f4\u89c2\u4e14\u6613\u4e8e\u5b9e\u73b0\uff0c\u9002\u5408\u7b80\u5355\u7684\u591a\u9879\u5f0f\u8fd0\u7b97\u3002\u7136\u800c\uff0c\u8fd9\u79cd\u65b9\u6cd5\u4e0d\u591f\u7075\u6d3b\uff0c\u5c24\u5176\u5728\u8fdb\u884c\u591a\u9879\u5f0f\u7684\u52a0\u51cf\u4e58\u9664\u7b49\u590d\u6742\u8fd0\u7b97\u65f6\uff0c\u9700\u8981\u624b\u52a8\u7f16\u5199\u76f8\u5e94\u7684\u4ee3\u7801\u6765\u5904\u7406\u3002\u6b64\u5916\uff0c\u5217\u8868\u8868\u793a\u6cd5\u5728\u5904\u7406\u9ad8\u6b21\u591a\u9879\u5f0f\u65f6\u4e5f\u4e0d\u591f\u9ad8\u6548\u3002<\/p>\n<\/p>\n

      \n
    1. \u5217\u8868\u8868\u793a\u6cd5\u7684\u5b9e\u73b0<\/li>\n<\/ol>\n

      \u4ee5\u4e0b\u662f\u4e00\u4e2a\u7b80\u5355\u7684\u4f8b\u5b50\uff0c\u5c55\u793a\u5982\u4f55\u4f7f\u7528\u5217\u8868\u8868\u793a\u591a\u9879\u5f0f\u4ee5\u53ca\u8fdb\u884c\u57fa\u672c\u7684\u591a\u9879\u5f0f\u8fd0\u7b97\uff1a<\/p>\n<\/p>\n

      # \u8868\u793a\u591a\u9879\u5f0f 3x^2 + 2x + 1<\/p>\n
      poly1 = [1, 2, 3]<\/p>\n
      \u8868\u793a\u591a\u9879\u5f0f 2x^2 + 4<\/strong><\/h2>\n
      poly2 = [4, 0, 2]<\/p>\n
      \u4e24\u4e2a\u591a\u9879\u5f0f\u76f8\u52a0<\/strong><\/h2>\n
      result_add = [a + b for a, b in zip(poly1, poly2)]<\/p>\n
      \u4e24\u4e2a\u591a\u9879\u5f0f\u76f8\u51cf<\/strong><\/h2>\n
      result_sub = [a - b for a, b in zip(poly1, poly2)]<\/p>\n
      print("Addition Result:", result_add)<\/p>\n
      print("Subtraction Result:", result_sub)<\/p>\n
      <\/code><\/pre>\n<\/p>\n
      \u4e8c\u3001\u4f7f\u7528NumPy\u5e93\u7684numpy.poly1d<\/code>\u7c7b<\/p>\n<\/p>\n
      NumPy\u5e93\u63d0\u4f9b\u4e86\u4e00\u4e2a\u5f3a\u5927\u7684poly1d<\/code>\u7c7b\uff0c\u7528\u4e8e\u8868\u793a\u548c\u64cd\u4f5c\u591a\u9879\u5f0f\u3002numpy.poly1d<\/code>\u7c7b\u4e0d\u4ec5\u53ef\u4ee5\u8f7b\u677e\u8868\u793a\u591a\u9879\u5f0f\uff0c\u8fd8\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u65b9\u6cd5\u7528\u4e8e\u591a\u9879\u5f0f\u7684\u8fd0\u7b97\u548c\u64cd\u4f5c\u3002<\/p>\n<\/p>\n
        \n
      1. numpy.poly1d<\/code>\u7684\u4f18\u52bf<\/li>\n<\/ol>\n
        \u4f7f\u7528numpy.poly1d<\/code>\u7c7b\u8868\u793a\u591a\u9879\u5f0f\u7684\u4e3b\u8981\u4f18\u52bf\u5728\u4e8e\u5176\u7b80\u6d01\u6027\u548c\u529f\u80fd\u7684\u4e30\u5bcc\u6027\u3002\u5b83\u652f\u6301\u591a\u9879\u5f0f\u7684\u52a0\u51cf\u4e58\u9664\u3001\u6c42\u5bfc\u3001\u79ef\u5206\u7b49\u64cd\u4f5c\uff0c\u5e76\u4e14\u53ef\u4ee5\u76f4\u63a5\u7528\u4e8e\u8ba1\u7b97\u591a\u9879\u5f0f\u7684\u503c\u3002\u8fd9\u4f7f\u5f97\u5904\u7406\u590d\u6742\u7684\u591a\u9879\u5f0f\u8fd0\u7b97\u53d8\u5f97\u66f4\u4e3a\u7b80\u5355\u548c\u9ad8\u6548\u3002<\/p>\n<\/p>\n
          \n
        1. numpy.poly1d<\/code>\u7684\u5b9e\u73b0<\/li>\n<\/ol>\n
          \u4ee5\u4e0b\u662f\u4e00\u4e2a\u4f7f\u7528numpy.poly1d<\/code>\u7c7b\u8868\u793a\u591a\u9879\u5f0f\u7684\u793a\u4f8b\uff1a<\/p>\n<\/p>\n
          import numpy as np<\/p>\n
          \u8868\u793a\u591a\u9879\u5f0f 3x^2 + 2x + 1<\/strong><\/h2>\n
          poly1 = np.poly1d([3, 2, 1])<\/p>\n
          \u8868\u793a\u591a\u9879\u5f0f 2x^2 + 4<\/strong><\/h2>\n
          poly2 = np.poly1d([2, 0, 4])<\/p>\n
          \u591a\u9879\u5f0f\u76f8\u52a0<\/strong><\/h2>\n
          result_add = poly1 + poly2<\/p>\n
          \u591a\u9879\u5f0f\u76f8\u51cf<\/strong><\/h2>\n
          result_sub = poly1 - poly2<\/p>\n
          \u591a\u9879\u5f0f\u76f8\u4e58<\/strong><\/h2>\n
          result_mul = poly1 * poly2<\/p>\n
          \u8ba1\u7b97\u591a\u9879\u5f0f\u5728x=2\u5904\u7684\u503c<\/strong><\/h2>\n
          value_at_2 = poly1(2)<\/p>\n
          print("Addition Result:", result_add)<\/p>\n
          print("Subtraction Result:", result_sub)<\/p>\n
          print("Multiplication Result:", result_mul)<\/p>\n
          print("Value at x=2:", value_at_2)<\/p>\n
          <\/code><\/pre>\n<\/p>\n
          \u4e09\u3001\u4f7f\u7528SymPy\u5e93\u7684Poly<\/code>\u7c7b<\/p>\n<\/p>\n
          SymPy\u662f\u4e00\u4e2aPython\u7684\u7b26\u53f7\u8ba1\u7b97\u5e93\uff0c\u63d0\u4f9b\u4e86Poly<\/code>\u7c7b\u7528\u4e8e\u591a\u9879\u5f0f\u7684\u7b26\u53f7\u8868\u793a\u548c\u8ba1\u7b97\u3002\u4e0enumpy.poly1d<\/code>\u4e0d\u540c\uff0cSymPy\u7684Poly<\/code>\u7c7b\u5141\u8bb8\u7b26\u53f7\u8fd0\u7b97\uff0c\u9002\u5408\u9700\u8981\u7cbe\u786e\u7b26\u53f7\u89e3\u7684\u573a\u5408\u3002<\/p>\n<\/p>\n
            \n
          1. SymPy\u7684\u4f18\u52bf<\/li>\n<\/ol>\n
            SymPy\u7684Poly<\/code>\u7c7b\u4e0d\u4ec5\u652f\u6301\u4e0enumpy.poly1d<\/code>\u7c7b\u4f3c\u7684\u591a\u9879\u5f0f\u8fd0\u7b97\uff0c\u8fd8\u53ef\u4ee5\u8fdb\u884c\u7b26\u53f7\u5fae\u79ef\u5206\u3001\u5316\u7b80\u3001\u56e0\u5f0f\u5206\u89e3\u7b49\u64cd\u4f5c\u3002\u5b83\u7279\u522b\u9002\u5408\u7528\u4e8e\u9700\u8981\u7b26\u53f7\u8fd0\u7b97\u7684\u573a\u5408\uff0c\u4f8b\u5982\u6c42\u89e3\u65b9\u7a0b\u3001\u5316\u7b80\u8868\u8fbe\u5f0f\u7b49\u3002<\/p>\n<\/p>\n
              \n
            1. SymPy\u7684\u5b9e\u73b0<\/li>\n<\/ol>\n
              \u4ee5\u4e0b\u662f\u4e00\u4e2a\u4f7f\u7528SymPy\u5e93\u8868\u793a\u591a\u9879\u5f0f\u7684\u793a\u4f8b\uff1a<\/p>\n<\/p>\n
              from sympy import symbols, Poly<\/p>\n
              \u5b9a\u4e49\u7b26\u53f7\u53d8\u91cf<\/strong><\/h2>\n
              x = symbols('x')<\/p>\n
              \u8868\u793a\u591a\u9879\u5f0f 3x^2 + 2x + 1<\/strong><\/h2>\n
              poly1 = Poly(3*x2 + 2*x + 1, x)<\/p>\n
              \u8868\u793a\u591a\u9879\u5f0f 2x^2 + 4<\/strong><\/h2>\n
              poly2 = Poly(2*x2 + 4, x)<\/p>\n
              \u591a\u9879\u5f0f\u76f8\u52a0<\/strong><\/h2>\n
              result_add = poly1 + poly2<\/p>\n
              \u591a\u9879\u5f0f\u76f8\u51cf<\/strong><\/h2>\n
              result_sub = poly1 - poly2<\/p>\n
              \u591a\u9879\u5f0f\u76f8\u4e58<\/strong><\/h2>\n
              result_mul = poly1 * poly2<\/p>\n
              \u5bf9\u591a\u9879\u5f0f\u6c42\u5bfc<\/strong><\/h2>\n
              derivative = poly1.diff()<\/p>\n
              print("Addition Result:", result_add)<\/p>\n
              print("Subtraction Result:", result_sub)<\/p>\n
              print("Multiplication Result:", result_mul)<\/p>\n
              print("Derivative:", derivative)<\/p>\n
              <\/code><\/pre>\n<\/p>\n
              \u56db\u3001\u4e0d\u540c\u65b9\u6cd5\u7684\u9002\u7528\u573a\u666f<\/p>\n<\/p>\n
                \n
              1. \n
                \u4f7f\u7528\u5217\u8868<\/strong>\uff1a\u9002\u5408\u7b80\u5355\u7684\u591a\u9879\u5f0f\u8868\u793a\u548c\u8fd0\u7b97\uff0c\u5c24\u5176\u662f\u5728\u4e0d\u9700\u8981\u590d\u6742\u64cd\u4f5c\u7684\u60c5\u51b5\u4e0b\u3002\u5bf9\u4e8e\u521d\u5b66\u8005\u6216\u7b80\u5355\u7684\u8ba1\u7b97\u4efb\u52a1\uff0c\u5217\u8868\u662f\u4e00\u79cd\u5feb\u901f\u5b9e\u73b0\u7684\u65b9\u5f0f\u3002<\/p>\n<\/p>\n<\/li>\n
              2. \n
                \u4f7f\u7528numpy.poly1d<\/code><\/strong>\uff1a\u9002\u5408\u9700\u8981\u8fdb\u884c\u6570\u503c\u8ba1\u7b97\u548c\u5904\u7406\u8f83\u590d\u6742\u591a\u9879\u5f0f\u8fd0\u7b97\u7684\u573a\u5408\u3002numpy.poly1d<\/code>\u7684\u6027\u80fd\u4f18\u826f\uff0c\u9002\u5408\u5904\u7406\u5927\u578b\u6570\u636e\u96c6\u548c\u8fdb\u884c\u79d1\u5b66\u8ba1\u7b97\u3002<\/p>\n<\/p>\n<\/li>\n
              3. \n
                \u4f7f\u7528SymPy\u7684Poly<\/code><\/strong>\uff1a\u9002\u7528\u4e8e\u9700\u8981\u7b26\u53f7\u8ba1\u7b97\u7684\u573a\u5408\uff0c\u4f8b\u5982\u6c42\u89e3\u65b9\u7a0b\u3001\u7b26\u53f7\u5fae\u79ef\u5206\u7b49\u3002SymPy\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u7b26\u53f7\u8fd0\u7b97\u529f\u80fd\uff0c\u9002\u5408\u6570\u5b66\u63a8\u5bfc\u548c\u7406\u8bba\u7814\u7a76\u3002<\/p>\n<\/p>\n<\/li>\n<\/ol>\n
                \u4e94\u3001\u603b\u7ed3<\/p>\n<\/p>\n
                \u5728Python\u4e2d\u8868\u793a\u591a\u9879\u5f0f\u6709\u591a\u79cd\u65b9\u6cd5\uff0c\u9009\u62e9\u5408\u9002\u7684\u65b9\u6cd5\u53d6\u51b3\u4e8e\u5177\u4f53\u7684\u5e94\u7528\u9700\u6c42\u3002\u5217\u8868\u8868\u793a\u6cd5\u7b80\u5355\u76f4\u89c2\uff0c\u9002\u5408\u521d\u5b66\u8005\u548c\u7b80\u5355\u8fd0\u7b97\u3002numpy.poly1d<\/code>\u7c7b\u529f\u80fd\u5f3a\u5927\uff0c\u9002\u5408\u6570\u503c\u8ba1\u7b97\u548c\u79d1\u5b66\u5e94\u7528\u3002SymPy\u7684Poly<\/code>\u7c7b\u5219\u9002\u7528\u4e8e\u7b26\u53f7\u8ba1\u7b97\u548c\u6570\u5b66\u7814\u7a76\u3002\u6839\u636e\u5177\u4f53\u9700\u6c42\u9009\u62e9\u5408\u9002\u7684\u65b9\u6cd5\uff0c\u53ef\u4ee5\u63d0\u9ad8\u7a0b\u5e8f\u7684\u6548\u7387\u548c\u53ef\u7ef4\u62a4\u6027\u3002<\/p>\n<\/p>\n
                \u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n
                 \u5982\u4f55\u5728Python\u4e2d\u521b\u5efa\u548c\u8868\u793a\u591a\u6b21\u5f0f\uff1f<\/strong>
                \u5728Python\u4e2d\uff0c\u53ef\u4ee5\u4f7f\u7528\u7c7b\u6765\u521b\u5efa\u591a\u6b21\u5f0f\u7684\u8868\u793a\u3002\u901a\u8fc7\u5b9a\u4e49\u4e00\u4e2a\u591a\u9879\u5f0f\u7c7b\uff0c\u53ef\u4ee5\u65b9\u4fbf\u5730\u5b58\u50a8\u7cfb\u6570\u548c\u6307\u6570\uff0c\u5e76\u5b9e\u73b0\u5404\u79cd\u64cd\u4f5c\uff0c\u5982\u52a0\u6cd5\u3001\u51cf\u6cd5\u548c\u4e58\u6cd5\u3002\u4f8b\u5982\uff0c\u53ef\u4ee5\u4f7f\u7528\u5b57\u5178\u5b58\u50a8\u6bcf\u4e2a\u9879\u7684\u7cfb\u6570\u548c\u76f8\u5e94\u7684\u6307\u6570\uff0c\u6216\u8005\u4f7f\u7528\u5217\u8868\u6765\u8868\u793a\u6bcf\u4e2a\u9879\u7684\u7cfb\u6570\u3002<\/p>\n
                Python\u4e2d\u6709\u54ea\u4e9b\u5e93\u53ef\u4ee5\u5904\u7406\u591a\u6b21\u5f0f\uff1f<\/strong>
                Python\u6709\u591a\u4e2a\u5e93\u53ef\u4ee5\u5e2e\u52a9\u5904\u7406\u591a\u6b21\u5f0f\uff0c\u5305\u62ecNumPy\u3001SymPy\u548cPoly1D\u7b49\u3002NumPy\u63d0\u4f9b\u4e86\u5f3a\u5927\u7684\u6570\u7ec4\u548c\u6570\u5b66\u8fd0\u7b97\u529f\u80fd\uff0c\u9002\u5408\u5904\u7406\u6570\u503c\u8ba1\u7b97\uff1bSymPy\u662f\u4e00\u4e2a\u7b26\u53f7\u8ba1\u7b97\u5e93\uff0c\u9002\u5408\u8fdb\u884c\u7b26\u53f7\u8fd0\u7b97\u548c\u89e3\u6790\uff1b\u800cPoly1D\u5219\u4e13\u95e8\u7528\u4e8e\u591a\u9879\u5f0f\u7684\u8868\u793a\u548c\u8fd0\u7b97\uff0c\u7528\u6237\u53ef\u4ee5\u8f7b\u677e\u8fdb\u884c\u591a\u9879\u5f0f\u7684\u521b\u5efa\u3001\u76f8\u52a0\u548c\u6c42\u5bfc\u7b49\u64cd\u4f5c\u3002<\/p>\n
                \u5982\u4f55\u5728Python\u4e2d\u5bf9\u591a\u6b21\u5f0f\u8fdb\u884c\u8fd0\u7b97\uff1f<\/strong>
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