{"id":1121049,"date":"2025-01-08T19:04:55","date_gmt":"2025-01-08T11:04:55","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/1121049.html"},"modified":"2025-01-08T19:04:58","modified_gmt":"2025-01-08T11:04:58","slug":"%e5%a6%82%e4%bd%95%e7%94%a8python3%e8%a7%a3%e6%96%b9%e7%a8%8b%e7%bb%84","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/1121049.html","title":{"rendered":"\u5982\u4f55\u7528python3\u89e3\u65b9\u7a0b\u7ec4"},"content":{"rendered":"<p style=\"text-align:center;\" ><img decoding=\"async\" src=\"https:\/\/cdn-kb.worktile.com\/kb\/wp-content\/uploads\/2024\/04\/25083438\/3b410741-33e8-4cdd-a89d-17b6dbe4679d.webp\" alt=\"\u5982\u4f55\u7528python3\u89e3\u65b9\u7a0b\u7ec4\" \/><\/p>\n<p><p> <strong>\u5982\u4f55\u7528Python3\u89e3\u65b9\u7a0b\u7ec4<\/strong><\/p>\n<\/p>\n<p><p>\u4f7f\u7528Python3\u89e3\u65b9\u7a0b\u7ec4\u662f\u4e00\u4e2a\u975e\u5e38\u5b9e\u7528\u4e14\u9ad8\u6548\u7684\u89e3\u51b3\u65b9\u6848\u3002<strong>Python3\u63d0\u4f9b\u4e86\u591a\u79cd\u89e3\u65b9\u7a0b\u7ec4\u7684\u65b9\u6cd5\uff0c\u5305\u62ec\u4f7f\u7528NumPy\u5e93\u3001SymPy\u5e93\u4ee5\u53caSciPy\u5e93<\/strong>\u3002\u8fd9\u4e9b\u5e93\u5206\u522b\u9002\u7528\u4e8e\u4e0d\u540c\u7c7b\u578b\u7684\u65b9\u7a0b\u7ec4\u95ee\u9898\uff0c\u5982\u7ebf\u6027\u65b9\u7a0b\u7ec4\u3001\u975e\u7ebf\u6027\u65b9\u7a0b\u7ec4\u7b49\u3002\u63a5\u4e0b\u6765\uff0c\u6211\u5c06\u8be6\u7ec6\u4ecb\u7ecd\u8fd9\u4e9b\u65b9\u6cd5\uff0c\u5e2e\u52a9\u4f60\u66f4\u597d\u5730\u7406\u89e3\u548c\u5e94\u7528Python3\u6765\u89e3\u65b9\u7a0b\u7ec4\u3002<\/p>\n<\/p>\n<p><h3>\u4e00\u3001\u4f7f\u7528NumPy\u5e93\u89e3\u7ebf\u6027\u65b9\u7a0b\u7ec4<\/h3>\n<\/p>\n<p><p>NumPy\u5e93\u662fPython\u4e2d\u6700\u5e38\u7528\u7684\u6570\u503c\u8ba1\u7b97\u5e93\u4e4b\u4e00\u3002\u5b83\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u51fd\u6570\u6765\u8fdb\u884c\u77e9\u9635\u8fd0\u7b97\uff0c\u975e\u5e38\u9002\u5408\u7528\u4e8e\u89e3\u7ebf\u6027\u65b9\u7a0b\u7ec4\u3002<\/p>\n<\/p>\n<p><h4>1. \u5b89\u88c5NumPy\u5e93<\/h4>\n<\/p>\n<p><p>\u5728\u5f00\u59cb\u4e4b\u524d\uff0c\u8bf7\u786e\u4fdd\u4f60\u5df2\u7ecf\u5b89\u88c5\u4e86NumPy\u5e93\u3002\u4f60\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u547d\u4ee4\u8fdb\u884c\u5b89\u88c5\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-sh\">pip install numpy<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h4>2. \u89e3\u7ebf\u6027\u65b9\u7a0b\u7ec4\u7684\u57fa\u672c\u6b65\u9aa4<\/h4>\n<\/p>\n<p><p>\u7ebf\u6027\u65b9\u7a0b\u7ec4\u901a\u5e38\u53ef\u4ee5\u8868\u793a\u4e3a\u77e9\u9635\u5f62\u5f0f\uff1aAx = B\u3002\u8fd9\u91cc\uff0cA\u662f\u7cfb\u6570\u77e9\u9635\uff0cx\u662f\u672a\u77e5\u6570\u5411\u91cf\uff0cB\u662f\u5e38\u6570\u5411\u91cf\u3002NumPy\u5e93\u63d0\u4f9b\u4e86\u591a\u79cd\u65b9\u6cd5\u6765\u89e3\u8fd9\u4e2a\u65b9\u7a0b\u7ec4\u3002<\/p>\n<\/p>\n<p><h5>2.1 \u4f7f\u7528<code>numpy.linalg.solve<\/code>\u51fd\u6570<\/h5>\n<\/p>\n<p><p>\u8fd9\u662f\u89e3\u51b3\u7ebf\u6027\u65b9\u7a0b\u7ec4\u6700\u76f4\u63a5\u7684\u65b9\u6cd5\u3002\u5047\u8bbe\u6211\u4eec\u6709\u4ee5\u4e0b\u65b9\u7a0b\u7ec4\uff1a<\/p>\n<\/p>\n<p><p>[ 2x + 3y = 5 ]<\/p>\n<p>[ 4x + 6y = 10 ]<\/p>\n<\/p>\n<p><p>\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u4ee3\u7801\u6765\u89e3\u8fd9\u4e2a\u65b9\u7a0b\u7ec4\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import numpy as np<\/p>\n<h2><strong>\u7cfb\u6570\u77e9\u9635 A<\/strong><\/h2>\n<p>A = np.array([[2, 3], [4, 6]])<\/p>\n<h2><strong>\u5e38\u6570\u5411\u91cf B<\/strong><\/h2>\n<p>B = np.array([5, 10])<\/p>\n<h2><strong>\u89e3\u65b9\u7a0b\u7ec4<\/strong><\/h2>\n<p>x = np.linalg.solve(A, B)<\/p>\n<p>print(&quot;\u89e3:&quot;, x)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h5>2.2 \u4f7f\u7528<code>numpy.linalg.inv<\/code>\u51fd\u6570<\/h5>\n<\/p>\n<p><p>\u53e6\u4e00\u4e2a\u65b9\u6cd5\u662f\u5148\u8ba1\u7b97\u7cfb\u6570\u77e9\u9635\u7684\u9006\u77e9\u9635\uff0c\u7136\u540e\u5c06\u5176\u4e0e\u5e38\u6570\u5411\u91cf\u76f8\u4e58\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import numpy as np<\/p>\n<h2><strong>\u7cfb\u6570\u77e9\u9635 A<\/strong><\/h2>\n<p>A = np.array([[2, 3], [4, 6]])<\/p>\n<h2><strong>\u5e38\u6570\u5411\u91cf B<\/strong><\/h2>\n<p>B = np.array([5, 10])<\/p>\n<h2><strong>\u8ba1\u7b97\u9006\u77e9\u9635<\/strong><\/h2>\n<p>A_inv = np.linalg.inv(A)<\/p>\n<h2><strong>\u89e3\u65b9\u7a0b\u7ec4<\/strong><\/h2>\n<p>x = np.dot(A_inv, B)<\/p>\n<p>print(&quot;\u89e3:&quot;, x)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p><strong>\u6ce8\u610f\uff1a<\/strong> \u5982\u679c\u7cfb\u6570\u77e9\u9635A\u662f\u5947\u5f02\u77e9\u9635\uff08\u5373\u6ca1\u6709\u9006\u77e9\u9635\uff09\uff0c\u4e0a\u8ff0\u65b9\u6cd5\u5c06\u65e0\u6cd5\u4f7f\u7528\u3002<\/p>\n<\/p>\n<p><h3>\u4e8c\u3001\u4f7f\u7528SymPy\u5e93\u89e3\u4ee3\u6570\u65b9\u7a0b\u7ec4<\/h3>\n<\/p>\n<p><p>SymPy\u662f\u4e00\u4e2a\u7528\u4e8e\u7b26\u53f7\u8ba1\u7b97\u7684Python\u5e93\uff0c\u975e\u5e38\u9002\u5408\u89e3\u4ee3\u6570\u65b9\u7a0b\u7ec4\u3002<\/p>\n<\/p>\n<p><h4>1. \u5b89\u88c5SymPy\u5e93<\/h4>\n<\/p>\n<p><p>\u4f60\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u547d\u4ee4\u5b89\u88c5SymPy\u5e93\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-sh\">pip install sympy<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h4>2. \u89e3\u4ee3\u6570\u65b9\u7a0b\u7ec4\u7684\u57fa\u672c\u6b65\u9aa4<\/h4>\n<\/p>\n<p><p>SymPy\u5e93\u63d0\u4f9b\u4e86\u591a\u79cd\u7b26\u53f7\u8ba1\u7b97\u529f\u80fd\uff0c\u5305\u62ec\u89e3\u65b9\u7a0b\u7ec4\u3002\u5047\u8bbe\u6211\u4eec\u6709\u4ee5\u4e0b\u65b9\u7a0b\u7ec4\uff1a<\/p>\n<\/p>\n<p><p>[ x^2 + y^2 = 25 ]<\/p>\n<p>[ x &#8211; y = 5 ]<\/p>\n<\/p>\n<p><p>\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u4ee3\u7801\u6765\u89e3\u8fd9\u4e2a\u65b9\u7a0b\u7ec4\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import sympy as sp<\/p>\n<h2><strong>\u5b9a\u4e49\u672a\u77e5\u6570<\/strong><\/h2>\n<p>x, y = sp.symbols(&#39;x y&#39;)<\/p>\n<h2><strong>\u5b9a\u4e49\u65b9\u7a0b\u7ec4<\/strong><\/h2>\n<p>eq1 = sp.Eq(x&lt;strong&gt;2 + y&lt;\/strong&gt;2, 25)<\/p>\n<p>eq2 = sp.Eq(x - y, 5)<\/p>\n<h2><strong>\u89e3\u65b9\u7a0b\u7ec4<\/strong><\/h2>\n<p>solution = sp.solve((eq1, eq2), (x, y))<\/p>\n<p>print(&quot;\u89e3:&quot;, solution)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h4>3. \u89e3\u975e\u7ebf\u6027\u65b9\u7a0b\u7ec4<\/h4>\n<\/p>\n<p><p>SymPy\u5e93\u4e5f\u53ef\u4ee5\u7528\u4e8e\u89e3\u975e\u7ebf\u6027\u65b9\u7a0b\u7ec4\u3002\u5047\u8bbe\u6211\u4eec\u6709\u4ee5\u4e0b\u975e\u7ebf\u6027\u65b9\u7a0b\u7ec4\uff1a<\/p>\n<\/p>\n<p><p>[ e^x + y = 2 ]<\/p>\n<p>[ x^2 + y^2 = 1 ]<\/p>\n<\/p>\n<p><p>\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u4ee3\u7801\u6765\u89e3\u8fd9\u4e2a\u65b9\u7a0b\u7ec4\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import sympy as sp<\/p>\n<h2><strong>\u5b9a\u4e49\u672a\u77e5\u6570<\/strong><\/h2>\n<p>x, y = sp.symbols(&#39;x y&#39;)<\/p>\n<h2><strong>\u5b9a\u4e49\u65b9\u7a0b\u7ec4<\/strong><\/h2>\n<p>eq1 = sp.Eq(sp.exp(x) + y, 2)<\/p>\n<p>eq2 = sp.Eq(x&lt;strong&gt;2 + y&lt;\/strong&gt;2, 1)<\/p>\n<h2><strong>\u89e3\u65b9\u7a0b\u7ec4<\/strong><\/h2>\n<p>solution = sp.solve((eq1, eq2), (x, y))<\/p>\n<p>print(&quot;\u89e3:&quot;, solution)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h3>\u4e09\u3001\u4f7f\u7528SciPy\u5e93\u89e3\u975e\u7ebf\u6027\u65b9\u7a0b\u7ec4<\/h3>\n<\/p>\n<p><p>SciPy\u5e93\u662f\u53e6\u4e00\u4e2a\u7528\u4e8e\u79d1\u5b66\u8ba1\u7b97\u7684Python\u5e93\uff0c\u5b83\u63d0\u4f9b\u4e86\u66f4\u591a\u9ad8\u7ea7\u7684\u6570\u503c\u8ba1\u7b97\u529f\u80fd\uff0c\u5305\u62ec\u89e3\u975e\u7ebf\u6027\u65b9\u7a0b\u7ec4\u3002<\/p>\n<\/p>\n<p><h4>1. \u5b89\u88c5SciPy\u5e93<\/h4>\n<\/p>\n<p><p>\u4f60\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u547d\u4ee4\u5b89\u88c5SciPy\u5e93\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-sh\">pip install scipy<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h4>2. \u89e3\u975e\u7ebf\u6027\u65b9\u7a0b\u7ec4\u7684\u57fa\u672c\u6b65\u9aa4<\/h4>\n<\/p>\n<p><p>SciPy\u5e93\u63d0\u4f9b\u4e86\u591a\u79cd\u65b9\u6cd5\u6765\u89e3\u975e\u7ebf\u6027\u65b9\u7a0b\u7ec4\u3002\u5047\u8bbe\u6211\u4eec\u6709\u4ee5\u4e0b\u975e\u7ebf\u6027\u65b9\u7a0b\u7ec4\uff1a<\/p>\n<\/p>\n<p><p>[ e^x + y = 2 ]<\/p>\n<p>[ x^2 + y^2 = 1 ]<\/p>\n<\/p>\n<p><p>\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u4ee3\u7801\u6765\u89e3\u8fd9\u4e2a\u65b9\u7a0b\u7ec4\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import numpy as np<\/p>\n<p>from scipy.optimize import fsolve<\/p>\n<h2><strong>\u5b9a\u4e49\u65b9\u7a0b\u7ec4<\/strong><\/h2>\n<p>def equations(vars):<\/p>\n<p>    x, y = vars<\/p>\n<p>    eq1 = np.exp(x) + y - 2<\/p>\n<p>    eq2 = x&lt;strong&gt;2 + y&lt;\/strong&gt;2 - 1<\/p>\n<p>    return [eq1, eq2]<\/p>\n<h2><strong>\u7ed9\u51fa\u521d\u59cb\u731c\u6d4b\u503c<\/strong><\/h2>\n<p>initial_guess = [0, 1]<\/p>\n<h2><strong>\u89e3\u65b9\u7a0b\u7ec4<\/strong><\/h2>\n<p>solution = fsolve(equations, initial_guess)<\/p>\n<p>print(&quot;\u89e3:&quot;, solution)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h5>2.1 \u4f7f\u7528<code>scipy.optimize.root<\/code>\u51fd\u6570<\/h5>\n<\/p>\n<p><p>\u53e6\u4e00\u4e2a\u5e38\u7528\u65b9\u6cd5\u662f\u4f7f\u7528<code>scipy.optimize.root<\/code>\u51fd\u6570\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import numpy as np<\/p>\n<p>from scipy.optimize import root<\/p>\n<h2><strong>\u5b9a\u4e49\u65b9\u7a0b\u7ec4<\/strong><\/h2>\n<p>def equations(vars):<\/p>\n<p>    x, y = vars<\/p>\n<p>    eq1 = np.exp(x) + y - 2<\/p>\n<p>    eq2 = x&lt;strong&gt;2 + y&lt;\/strong&gt;2 - 1<\/p>\n<p>    return [eq1, eq2]<\/p>\n<h2><strong>\u7ed9\u51fa\u521d\u59cb\u731c\u6d4b\u503c<\/strong><\/h2>\n<p>initial_guess = [0, 1]<\/p>\n<h2><strong>\u89e3\u65b9\u7a0b\u7ec4<\/strong><\/h2>\n<p>solution = root(equations, initial_guess)<\/p>\n<p>print(&quot;\u89e3:&quot;, solution.x)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h3>\u56db\u3001\u7efc\u5408\u5e94\u7528<\/h3>\n<\/p>\n<p><p>\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u89e3\u65b9\u7a0b\u7ec4\u5f80\u5f80\u9700\u8981\u7ed3\u5408\u591a\u79cd\u65b9\u6cd5\u3002\u4e0b\u9762\u662f\u4e00\u4e2a\u7efc\u5408\u5e94\u7528\u7684\u6848\u4f8b\uff0c\u7ed3\u5408\u4e86NumPy\u548cSymPy\u5e93\u6765\u89e3\u4e00\u4e2a\u590d\u6742\u7684\u65b9\u7a0b\u7ec4\u3002<\/p>\n<\/p>\n<p><p>\u5047\u8bbe\u6211\u4eec\u6709\u4ee5\u4e0b\u65b9\u7a0b\u7ec4\uff1a<\/p>\n<\/p>\n<p><p>[ x^2 + y^2 = z ]<\/p>\n<p>[ x + y + z = 10 ]<\/p>\n<p>[ e^x + yz = 5 ]<\/p>\n<\/p>\n<p><p>\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u4ee3\u7801\u6765\u89e3\u8fd9\u4e2a\u65b9\u7a0b\u7ec4\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import numpy as np<\/p>\n<p>import sympy as sp<\/p>\n<h2><strong>\u4f7f\u7528NumPy\u5e93\u5b9a\u4e49\u521d\u59cb\u731c\u6d4b\u503c<\/strong><\/h2>\n<p>initial_guess = np.array([1, 1, 1])<\/p>\n<h2><strong>\u4f7f\u7528SymPy\u5e93\u5b9a\u4e49\u65b9\u7a0b\u7ec4<\/strong><\/h2>\n<p>x, y, z = sp.symbols(&#39;x y z&#39;)<\/p>\n<p>eq1 = sp.Eq(x&lt;strong&gt;2 + y&lt;\/strong&gt;2, z)<\/p>\n<p>eq2 = sp.Eq(x + y + z, 10)<\/p>\n<p>eq3 = sp.Eq(sp.exp(x) + y*z, 5)<\/p>\n<h2><strong>\u4f7f\u7528SymPy\u5e93\u89e3\u65b9\u7a0b\u7ec4<\/strong><\/h2>\n<p>solution = sp.solve((eq1, eq2, eq3), (x, y, z))<\/p>\n<p>print(&quot;\u89e3:&quot;, solution)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h3>\u4e94\u3001\u603b\u7ed3<\/h3>\n<\/p>\n<p><p>\u901a\u8fc7\u672c\u6587\u7684\u4ecb\u7ecd\uff0c\u4f60\u5e94\u8be5\u5df2\u7ecf\u4e86\u89e3\u4e86\u5982\u4f55\u4f7f\u7528Python3\u89e3\u65b9\u7a0b\u7ec4\u3002<strong>NumPy\u5e93\u9002\u7528\u4e8e\u89e3\u7ebf\u6027\u65b9\u7a0b\u7ec4\uff0cSymPy\u5e93\u9002\u7528\u4e8e\u89e3\u4ee3\u6570\u65b9\u7a0b\u7ec4\uff0c\u800cSciPy\u5e93\u5219\u9002\u7528\u4e8e\u89e3\u975e\u7ebf\u6027\u65b9\u7a0b\u7ec4<\/strong>\u3002\u8fd9\u4e09\u4e2a\u5e93\u5404\u6709\u4f18\u52bf\uff0c\u53ef\u4ee5\u6839\u636e\u5b9e\u9645\u9700\u6c42\u9009\u62e9\u5408\u9002\u7684\u65b9\u6cd5\u3002\u6b64\u5916\uff0c\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u5f80\u5f80\u9700\u8981\u7ed3\u5408\u591a\u79cd\u65b9\u6cd5\u6765\u89e3\u590d\u6742\u7684\u65b9\u7a0b\u7ec4\u3002\u5e0c\u671b\u672c\u6587\u80fd\u591f\u5e2e\u52a9\u4f60\u66f4\u597d\u5730\u7406\u89e3\u548c\u5e94\u7528Python3\u6765\u89e3\u65b9\u7a0b\u7ec4\u3002<\/p>\n<\/p>\n<h2><strong>\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n<p> <strong>\u5982\u4f55\u5728Python\u4e2d\u9009\u62e9\u5408\u9002\u7684\u5e93\u6765\u89e3\u65b9\u7a0b\u7ec4\uff1f<\/strong><br \/>\u5728Python\u4e2d\uff0c\u89e3\u65b9\u7a0b\u7ec4\u7684\u5e38\u7528\u5e93\u5305\u62ecNumPy\u548cSciPy\u3002NumPy\u63d0\u4f9b\u4e86\u7b80\u5355\u7684\u7ebf\u6027\u4ee3\u6570\u529f\u80fd\uff0c\u53ef\u4ee5\u76f4\u63a5\u7528\u4e8e\u89e3\u7ebf\u6027\u65b9\u7a0b\u7ec4\u3002\u800cSciPy\u5219\u63d0\u4f9b\u4e86\u66f4\u4e3a\u590d\u6742\u548c\u9ad8\u7ea7\u7684\u6570\u503c\u8ba1\u7b97\u529f\u80fd\uff0c\u9002\u5408\u5904\u7406\u975e\u7ebf\u6027\u65b9\u7a0b\u7ec4\u3002\u6839\u636e\u65b9\u7a0b\u7684\u6027\u8d28\uff0c\u53ef\u4ee5\u9009\u62e9\u6700\u5408\u9002\u7684\u5e93\u6765\u83b7\u5f97\u6700\u4f73\u6027\u80fd\u3002<\/p>\n<p><strong>\u4f7f\u7528Python\u89e3\u65b9\u7a0b\u7ec4\u7684\u57fa\u672c\u6b65\u9aa4\u662f\u4ec0\u4e48\uff1f<\/strong><br \/>\u89e3\u65b9\u7a0b\u7ec4\u7684\u57fa\u672c\u6b65\u9aa4\u901a\u5e38\u5305\u62ec\u4ee5\u4e0b\u51e0\u4e2a\u65b9\u9762\uff1a\u9996\u5148\uff0c\u5b9a\u4e49\u65b9\u7a0b\u7ec4\u7684\u7cfb\u6570\u77e9\u9635\u548c\u5e38\u6570\u77e9\u9635\uff1b\u63a5\u7740\uff0c\u4f7f\u7528NumPy\u7684<code>numpy.linalg.solve()<\/code>\u51fd\u6570\u6216SciPy\u7684<code>scipy.optimize.fsolve()<\/code>\u51fd\u6570\u8fdb\u884c\u6c42\u89e3\uff1b\u6700\u540e\uff0c\u8f93\u51fa\u7ed3\u679c\u5e76\u8fdb\u884c\u9a8c\u8bc1\uff0c\u4ee5\u786e\u4fdd\u89e3\u7684\u6b63\u786e\u6027\u3002<\/p>\n<p><strong>\u5728\u89e3\u975e\u7ebf\u6027\u65b9\u7a0b\u7ec4\u65f6\uff0c\u6709\u4ec0\u4e48\u7279\u522b\u7684\u6ce8\u610f\u4e8b\u9879\uff1f<\/strong><br \/>\u89e3\u975e\u7ebf\u6027\u65b9\u7a0b\u7ec4\u65f6\uff0c\u9700\u8981\u6ce8\u610f\u521d\u59cb\u731c\u6d4b\u503c\u7684\u9009\u62e9\uff0c\u56e0\u4e3a\u975e\u7ebf\u6027\u65b9\u7a0b\u53ef\u80fd\u4f1a\u6709\u591a\u4e2a\u89e3\uff0c\u521d\u59cb\u503c\u7684\u4e0d\u540c\u53ef\u80fd\u5bfc\u81f4\u4e0d\u540c\u7684\u89e3\u3002\u6b64\u5916\uff0c\u6536\u655b\u6027\u4e5f\u662f\u4e00\u4e2a\u91cd\u8981\u56e0\u7d20\uff0c\u67d0\u4e9b\u65b9\u6cd5\u53ef\u80fd\u5728\u7279\u5b9a\u6761\u4ef6\u4e0b\u65e0\u6cd5\u6536\u655b\uff0c\u56e0\u6b64\u9700\u8981\u9009\u62e9\u5408\u9002\u7684\u7b97\u6cd5\u5e76\u8fdb\u884c\u591a\u6b21\u5c1d\u8bd5\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u5982\u4f55\u7528Python3\u89e3\u65b9\u7a0b\u7ec4 \u4f7f\u7528Python3\u89e3\u65b9\u7a0b\u7ec4\u662f\u4e00\u4e2a\u975e\u5e38\u5b9e\u7528\u4e14\u9ad8\u6548\u7684\u89e3\u51b3\u65b9\u6848\u3002Python3\u63d0\u4f9b\u4e86\u591a [&hellip;]","protected":false},"author":3,"featured_media":1121054,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[37],"tags":[],"acf":[],"_links":{"self":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1121049"}],"collection":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/comments?post=1121049"}],"version-history":[{"count":"1","href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1121049\/revisions"}],"predecessor-version":[{"id":1121055,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1121049\/revisions\/1121055"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/1121054"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=1121049"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=1121049"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=1121049"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}