{"id":950322,"date":"2024-12-27T00:32:27","date_gmt":"2024-12-26T16:32:27","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/950322.html"},"modified":"2024-12-27T00:32:30","modified_gmt":"2024-12-26T16:32:30","slug":"%e5%a6%82%e4%bd%95%e7%94%a8python%e6%b1%82","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/950322.html","title":{"rendered":"\u5982\u4f55\u7528python\u6c42"},"content":{"rendered":"<p style=\"text-align:center;\" ><img decoding=\"async\" src=\"https:\/\/cdn-kb.worktile.com\/kb\/wp-content\/uploads\/2024\/04\/25084941\/7bdd0194-cd6e-4f99-998e-0fa5df84baf4.webp\" alt=\"\u5982\u4f55\u7528python\u6c42\" \/><\/p>\n<p><p> \u5982\u4f55\u7528Python\u6c42\u89e3\u65b9\u7a0b<\/p>\n<\/p>\n<p><p><strong>\u4f7f\u7528Python\u6c42\u89e3\u65b9\u7a0b\u7684\u6838\u5fc3\u65b9\u6cd5\u5305\u62ec\uff1a\u5229\u7528\u7b26\u53f7\u6570\u5b66\u5e93SymPy\u3001\u4f7f\u7528\u6570\u503c\u8ba1\u7b97\u5e93SciPy\u3001\u5e94\u7528\u81ea\u5b9a\u4e49\u7b97\u6cd5\u3002<\/strong>\u5176\u4e2d\uff0cSymPy\u63d0\u4f9b\u4e86\u7b26\u53f7\u6c42\u89e3\u529f\u80fd\uff0c\u9002\u5408\u89e3\u6790\u89e3\u7684\u573a\u666f\uff1bSciPy\u5219\u9002\u7528\u4e8e\u6570\u503c\u6c42\u89e3\uff0c\u7279\u522b\u662f\u5728\u590d\u6742\u65b9\u7a0b\u7cfb\u7edf\u4e2d\u3002\u672c\u6587\u5c06\u8be6\u7ec6\u63a2\u8ba8\u8fd9\u51e0\u79cd\u65b9\u6cd5\u7684\u5e94\u7528\u573a\u666f\u53ca\u5176\u5177\u4f53\u5b9e\u73b0\u6b65\u9aa4\u3002<\/p>\n<\/p>\n<p><p>\u4e00\u3001\u5229\u7528SymPy\u8fdb\u884c\u7b26\u53f7\u6c42\u89e3<\/p>\n<\/p>\n<p><p>SymPy\u662fPython\u7684\u4e00\u4e2a\u5f3a\u5927\u7684\u7b26\u53f7\u6570\u5b66\u5e93\uff0c\u53ef\u4ee5\u7528\u6765\u6c42\u89e3\u4ee3\u6570\u65b9\u7a0b\u3001\u5fae\u5206\u65b9\u7a0b\u7b49\u3002\u5176\u4e3b\u8981\u4f18\u52bf\u5728\u4e8e\u80fd\u591f\u63d0\u4f9b\u89e3\u6790\u89e3\uff0c\u8fd9\u662f\u6570\u503c\u65b9\u6cd5\u65e0\u6cd5\u505a\u5230\u7684\u3002<\/p>\n<\/p>\n<ol>\n<li>\u5b89\u88c5SymPy\u548c\u57fa\u7840\u7528\u6cd5<\/li>\n<\/ol>\n<p><p>\u9996\u5148\uff0c\u9700\u8981\u5b89\u88c5SymPy\u5e93\u3002\u5728\u547d\u4ee4\u884c\u4e2d\u6267\u884c\u4ee5\u4e0b\u547d\u4ee4\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-bash\">pip install sympy<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5b89\u88c5\u5b8c\u6210\u540e\uff0c\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u4ee3\u7801\u5bfc\u5165SymPy\u5e76\u6c42\u89e3\u7b80\u5355\u7684\u4ee3\u6570\u65b9\u7a0b\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import sympy as sp<\/p>\n<h2><strong>\u5b9a\u4e49\u7b26\u53f7\u53d8\u91cf<\/strong><\/h2>\n<p>x = sp.symbols(&#39;x&#39;)<\/p>\n<h2><strong>\u5b9a\u4e49\u65b9\u7a0b<\/strong><\/h2>\n<p>equation = sp.Eq(x2 - 4, 0)<\/p>\n<h2><strong>\u6c42\u89e3\u65b9\u7a0b<\/strong><\/h2>\n<p>solution = sp.solve(equation, x)<\/p>\n<p>print(solution)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u4e0a\u8ff0\u4ee3\u7801\u4e2d\uff0c<code>sp.symbols<\/code>\u7528\u4e8e\u5b9a\u4e49\u7b26\u53f7\u53d8\u91cf\uff0c<code>sp.Eq<\/code>\u7528\u4e8e\u5b9a\u4e49\u65b9\u7a0b\uff0c<code>sp.solve<\/code>\u7528\u4e8e\u6c42\u89e3\u65b9\u7a0b\u3002\u901a\u8fc7\u8fd9\u4e9b\u6b65\u9aa4\uff0c\u53ef\u4ee5\u8f7b\u677e\u6c42\u89e3\u7b80\u5355\u7684\u4ee3\u6570\u65b9\u7a0b\u3002<\/p>\n<\/p>\n<ol start=\"2\">\n<li>\u5904\u7406\u591a\u5143\u65b9\u7a0b\u7ec4<\/li>\n<\/ol>\n<p><p>SymPy\u4e0d\u4ec5\u53ef\u4ee5\u6c42\u89e3\u5355\u4e2a\u65b9\u7a0b\uff0c\u8fd8\u53ef\u4ee5\u6c42\u89e3\u591a\u4e2a\u65b9\u7a0b\u7ec4\u6210\u7684\u65b9\u7a0b\u7ec4\u3002\u4f8b\u5982\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\"># \u5b9a\u4e49\u7b26\u53f7\u53d8\u91cf<\/p>\n<p>x, y = sp.symbols(&#39;x y&#39;)<\/p>\n<h2><strong>\u5b9a\u4e49\u65b9\u7a0b\u7ec4<\/strong><\/h2>\n<p>equations = [<\/p>\n<p>    sp.Eq(x + y, 10),<\/p>\n<p>    sp.Eq(x - y, 2)<\/p>\n<p>]<\/p>\n<h2><strong>\u6c42\u89e3\u65b9\u7a0b\u7ec4<\/strong><\/h2>\n<p>solutions = sp.solve(equations, (x, y))<\/p>\n<p>print(solutions)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u901a\u8fc7\u8fd9\u79cd\u65b9\u5f0f\uff0cSymPy\u80fd\u591f\u5904\u7406\u591a\u5143\u65b9\u7a0b\uff0c\u8fd4\u56de\u6240\u6709\u53d8\u91cf\u7684\u89e3\u3002<\/p>\n<\/p>\n<ol start=\"3\">\n<li>\u6c42\u89e3\u5fae\u5206\u65b9\u7a0b<\/li>\n<\/ol>\n<p><p>SymPy\u4e5f\u80fd\u6c42\u89e3\u5e38\u5fae\u5206\u65b9\u7a0b\u3002\u4f8b\u5982\uff0c\u6c42\u89e3\u7b80\u5355\u7684\u4e00\u9636\u5fae\u5206\u65b9\u7a0b\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\"># \u5b9a\u4e49\u7b26\u53f7\u53d8\u91cf<\/p>\n<p>y = sp.Function(&#39;y&#39;)<\/p>\n<p>t = sp.symbols(&#39;t&#39;)<\/p>\n<h2><strong>\u5b9a\u4e49\u5fae\u5206\u65b9\u7a0b<\/strong><\/h2>\n<p>diffeq = sp.Eq(y(t).diff(t) - y(t), 0)<\/p>\n<h2><strong>\u6c42\u89e3\u5fae\u5206\u65b9\u7a0b<\/strong><\/h2>\n<p>solution = sp.dsolve(diffeq, y(t))<\/p>\n<p>print(solution)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u4e0a\u8ff0\u4ee3\u7801\u4e2d\uff0c<code>sp.Function<\/code>\u7528\u4e8e\u5b9a\u4e49\u51fd\u6570\uff0c<code>y(t).diff(t)<\/code>\u8868\u793a\u5bf9<code>t<\/code>\u6c42\u5bfc\uff0c<code>sp.dsolve<\/code>\u7528\u4e8e\u6c42\u89e3\u5fae\u5206\u65b9\u7a0b\u3002<\/p>\n<\/p>\n<p><p>\u4e8c\u3001\u5229\u7528SciPy\u8fdb\u884c\u6570\u503c\u6c42\u89e3<\/p>\n<\/p>\n<p><p>SciPy\u662fPython\u7684\u4e00\u4e2a\u5f00\u6e90\u79d1\u5b66\u8ba1\u7b97\u5e93\uff0c\u5176\u4e2d\u7684<code>optimize<\/code>\u6a21\u5757\u63d0\u4f9b\u4e86\u6c42\u89e3\u6570\u503c\u65b9\u7a0b\u7684\u529f\u80fd\uff0c\u9002\u5408\u5904\u7406\u65e0\u89e3\u6790\u89e3\u7684\u590d\u6742\u65b9\u7a0b\u3002<\/p>\n<\/p>\n<ol>\n<li>\u5b89\u88c5SciPy\u548c\u57fa\u7840\u7528\u6cd5<\/li>\n<\/ol>\n<p><p>\u9996\u5148\uff0c\u786e\u4fdd\u5b89\u88c5\u4e86SciPy\u5e93\uff0c\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u547d\u4ee4\u8fdb\u884c\u5b89\u88c5\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-bash\">pip install scipy<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5b89\u88c5\u5b8c\u6210\u540e\uff0c\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u4ee3\u7801\u4f7f\u7528SciPy\u7684\u6570\u503c\u89e3\u6cd5\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">from scipy.optimize import fsolve<\/p>\n<h2><strong>\u5b9a\u4e49\u65b9\u7a0b<\/strong><\/h2>\n<p>def equation(x):<\/p>\n<p>    return x2 - 4<\/p>\n<h2><strong>\u6c42\u89e3\u65b9\u7a0b<\/strong><\/h2>\n<p>solution = fsolve(equation, x0=1)<\/p>\n<p>print(solution)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u91cc\uff0c<code>fsolve<\/code>\u7528\u4e8e\u6c42\u89e3\u65b9\u7a0b\uff0c<code>x0<\/code>\u662f\u521d\u59cb\u731c\u6d4b\u503c\u3002<\/p>\n<\/p>\n<ol start=\"2\">\n<li>\u6c42\u89e3\u591a\u5143\u65b9\u7a0b\u7ec4<\/li>\n<\/ol>\n<p><p>SciPy\u4e5f\u53ef\u4ee5\u7528\u4e8e\u6c42\u89e3\u591a\u5143\u65b9\u7a0b\u7ec4\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">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 = x + y - 10<\/p>\n<p>    eq2 = x - y - 2<\/p>\n<p>    return [eq1, eq2]<\/p>\n<h2><strong>\u6c42\u89e3\u65b9\u7a0b\u7ec4<\/strong><\/h2>\n<p>solution = fsolve(equations, x0=[1, 1])<\/p>\n<p>print(solution)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c<code>equations<\/code>\u51fd\u6570\u8fd4\u56de\u65b9\u7a0b\u7ec4\u7684\u5217\u8868\uff0c<code>fsolve<\/code>\u5219\u7528\u4e8e\u6c42\u89e3\u8fd9\u4e9b\u65b9\u7a0b\u3002<\/p>\n<\/p>\n<p><p>\u4e09\u3001\u4f7f\u7528\u81ea\u5b9a\u4e49\u7b97\u6cd5\u8fdb\u884c\u6c42\u89e3<\/p>\n<\/p>\n<p><p>\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\uff0c\u53ef\u80fd\u9700\u8981\u5b9e\u73b0\u81ea\u5b9a\u4e49\u7b97\u6cd5\u6765\u6c42\u89e3\u7279\u5b9a\u7c7b\u578b\u7684\u65b9\u7a0b\u3002\u5e38\u89c1\u7684\u65b9\u6cd5\u5305\u62ec\u4e8c\u5206\u6cd5\u3001\u725b\u987f\u6cd5\u7b49\u3002<\/p>\n<\/p>\n<ol>\n<li>\u4e8c\u5206\u6cd5\u6c42\u89e3<\/li>\n<\/ol>\n<p><p>\u4e8c\u5206\u6cd5\u662f\u4e00\u79cd\u7b80\u5355\u800c\u6709\u6548\u7684\u6570\u503c\u6c42\u89e3\u65b9\u6cd5\uff0c\u9002\u7528\u4e8e\u5355\u8c03\u51fd\u6570\u7684\u6839\u6c42\u89e3\u3002\u4ee5\u4e0b\u662f\u4e00\u4e2a\u4f7f\u7528\u4e8c\u5206\u6cd5\u7684\u793a\u4f8b\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">def bisection_method(func, a, b, tol):<\/p>\n<p>    if func(a) * func(b) &gt;= 0:<\/p>\n<p>        r<a href=\"https:\/\/docs.pingcode.com\/blog\/59162.html\" target=\"_blank\">AI<\/a>se ValueError(&quot;\u51fd\u6570\u5728\u533a\u95f4\u7aef\u70b9\u5904\u7b26\u53f7\u76f8\u540c&quot;)<\/p>\n<p>    c = a<\/p>\n<p>    while (b - a) \/ 2.0 &gt; tol:<\/p>\n<p>        c = (a + b) \/ 2.0<\/p>\n<p>        if func(c) == 0:<\/p>\n<p>            break<\/p>\n<p>        elif func(a) * func(c) &lt; 0:<\/p>\n<p>            b = c<\/p>\n<p>        else:<\/p>\n<p>            a = c<\/p>\n<p>    return c<\/p>\n<h2><strong>\u5b9a\u4e49\u65b9\u7a0b<\/strong><\/h2>\n<p>def equation(x):<\/p>\n<p>    return x2 - 4<\/p>\n<h2><strong>\u4f7f\u7528\u4e8c\u5206\u6cd5\u6c42\u89e3<\/strong><\/h2>\n<p>solution = bisection_method(equation, 0, 3, 1e-5)<\/p>\n<p>print(solution)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c<code>bisection_method<\/code>\u51fd\u6570\u5b9e\u73b0\u4e86\u4e8c\u5206\u6cd5\uff0c<code>a<\/code>\u548c<code>b<\/code>\u662f\u533a\u95f4\u7aef\u70b9\uff0c<code>tol<\/code>\u662f\u5bb9\u5dee\u3002<\/p>\n<\/p>\n<ol start=\"2\">\n<li>\u725b\u987f\u6cd5\u6c42\u89e3<\/li>\n<\/ol>\n<p><p>\u725b\u987f\u6cd5\u662f\u4e00\u79cd\u5feb\u901f\u6536\u655b\u7684\u6570\u503c\u6c42\u89e3\u65b9\u6cd5\uff0c\u9002\u7528\u4e8e\u5177\u6709\u826f\u597d\u521d\u59cb\u731c\u6d4b\u7684\u60c5\u51b5\u3002\u4ee5\u4e0b\u662f\u4e00\u4e2a\u4f7f\u7528\u725b\u987f\u6cd5\u7684\u793a\u4f8b\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">def newton_method(func, derivative, x0, tol):<\/p>\n<p>    x = x0<\/p>\n<p>    while abs(func(x)) &gt; tol:<\/p>\n<p>        x = x - func(x) \/ derivative(x)<\/p>\n<p>    return x<\/p>\n<h2><strong>\u5b9a\u4e49\u65b9\u7a0b\u53ca\u5176\u5bfc\u6570<\/strong><\/h2>\n<p>def equation(x):<\/p>\n<p>    return x2 - 4<\/p>\n<p>def derivative(x):<\/p>\n<p>    return 2*x<\/p>\n<h2><strong>\u4f7f\u7528\u725b\u987f\u6cd5\u6c42\u89e3<\/strong><\/h2>\n<p>solution = newton_method(equation, derivative, x0=1, tol=1e-5)<\/p>\n<p>print(solution)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c<code>newton_method<\/code>\u51fd\u6570\u5b9e\u73b0\u4e86\u725b\u987f\u6cd5\uff0c<code>derivative<\/code>\u662f\u65b9\u7a0b\u7684\u5bfc\u6570\u3002<\/p>\n<\/p>\n<p><p>\u56db\u3001Python\u6c42\u89e3\u65b9\u7a0b\u7684\u5e94\u7528\u5b9e\u4f8b<\/p>\n<\/p>\n<p><p>\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0cPython\u6c42\u89e3\u65b9\u7a0b\u7684\u80fd\u529b\u53ef\u4ee5\u7528\u4e8e\u5404\u79cd\u573a\u666f\uff0c\u5982\u7269\u7406\u8ba1\u7b97\u3001\u5de5\u7a0b\u5206\u6790\u3001\u91d1\u878d\u5efa\u6a21\u7b49\u3002\u4ee5\u4e0b\u662f\u4e00\u4e9b\u5177\u4f53\u7684\u5e94\u7528\u5b9e\u4f8b\uff1a<\/p>\n<\/p>\n<ol>\n<li>\u7269\u7406\u4e2d\u7684\u8fd0\u52a8\u65b9\u7a0b<\/li>\n<\/ol>\n<p><p>\u5047\u8bbe\u9700\u8981\u8ba1\u7b97\u4e00\u9897\u629b\u5c04\u7269\u7684\u6700\u9ad8\u70b9\u9ad8\u5ea6\uff0c\u53ef\u4ee5\u901a\u8fc7\u6c42\u89e3\u8fd0\u52a8\u65b9\u7a0b\u6765\u5b9e\u73b0\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import sympy as sp<\/p>\n<h2><strong>\u5b9a\u4e49\u7b26\u53f7\u53d8\u91cf<\/strong><\/h2>\n<p>v0, theta, g, h = sp.symbols(&#39;v0 theta g h&#39;)<\/p>\n<h2><strong>\u8fd0\u52a8\u65b9\u7a0b<\/strong><\/h2>\n<p>equation = sp.Eq(v0&lt;strong&gt;2 * sp.sin(theta)&lt;\/strong&gt;2 \/ (2*g), h)<\/p>\n<h2><strong>\u6c42\u89e3\u6700\u9ad8\u70b9\u9ad8\u5ea6<\/strong><\/h2>\n<p>solution = sp.solve(equation, h)<\/p>\n<p>print(solution)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<ol start=\"2\">\n<li>\u5de5\u7a0b\u4e2d\u7684\u7535\u8def\u5206\u6790<\/li>\n<\/ol>\n<p><p>\u5728\u7535\u8def\u5206\u6790\u4e2d\uff0c\u5e38\u9700\u8981\u6c42\u89e3\u590d\u6742\u7535\u8def\u7684\u7535\u6d41\u548c\u7535\u538b\u3002\u53ef\u4ee5\u901a\u8fc7\u65b9\u7a0b\u7ec4\u6765\u6a21\u62df\u7535\u8def\u884c\u4e3a\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">from scipy.optimize import fsolve<\/p>\n<h2><strong>\u5b9a\u4e49\u7535\u8def\u65b9\u7a0b\u7ec4<\/strong><\/h2>\n<p>def circuit_eqs(vars):<\/p>\n<p>    I1, I2 = vars<\/p>\n<p>    V1, R1, R2 = 10, 5, 10<\/p>\n<p>    eq1 = V1 - I1 * R1 - I2 * R2<\/p>\n<p>    eq2 = I1 - I2 - 2<\/p>\n<p>    return [eq1, eq2]<\/p>\n<h2><strong>\u6c42\u89e3\u7535\u8def\u65b9\u7a0b<\/strong><\/h2>\n<p>solution = fsolve(circuit_eqs, x0=[1, 1])<\/p>\n<p>print(solution)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<ol start=\"3\">\n<li>\u91d1\u878d\u4e2d\u7684\u671f\u6743\u5b9a\u4ef7<\/li>\n<\/ol>\n<p><p>\u5728\u91d1\u878d\u9886\u57df\uff0c\u671f\u6743\u5b9a\u4ef7\u6a21\u578b\u5e38\u9700\u8981\u6c42\u89e3\u590d\u6742\u7684\u6570\u5b66\u65b9\u7a0b\u3002Black-Scholes\u6a21\u578b\u662f\u4e00\u4e2a\u7ecf\u5178\u7684\u4f8b\u5b50\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import scipy.optimize as opt<\/p>\n<h2><strong>\u5b9a\u4e49Black-Scholes\u516c\u5f0f<\/strong><\/h2>\n<p>def black_scholes_call(S, K, T, r, sigma):<\/p>\n<p>    from scipy.stats import norm<\/p>\n<p>    import numpy as np<\/p>\n<p>    d1 = (np.log(S \/ K) + (r + 0.5 * sigma2) * T) \/ (sigma * np.sqrt(T))<\/p>\n<p>    d2 = d1 - sigma * np.sqrt(T)<\/p>\n<p>    call_price = S * norm.cdf(d1) - K * np.exp(-r * T) * norm.cdf(d2)<\/p>\n<p>    return call_price<\/p>\n<h2><strong>\u6c42\u89e3<\/strong><\/h2>\n<p>S, K, T, r, sigma = 100, 100, 1, 0.05, 0.2<\/p>\n<p>call_price = black_scholes_call(S, K, T, r, sigma)<\/p>\n<p>print(call_price)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u4e94\u3001\u603b\u7ed3<\/p>\n<\/p>\n<p><p>Python\u63d0\u4f9b\u4e86\u591a\u79cd\u6c42\u89e3\u65b9\u7a0b\u7684\u65b9\u6cd5\uff0c\u5305\u62ec\u7b26\u53f7\u6c42\u89e3\u548c\u6570\u503c\u6c42\u89e3\u3002<strong>SymPy\u9002\u7528\u4e8e\u89e3\u6790\u89e3\uff0cSciPy\u5219\u9002\u5408\u6570\u503c\u89e3\uff0c\u81ea\u5b9a\u4e49\u7b97\u6cd5\u63d0\u4f9b\u4e86\u7075\u6d3b\u6027\u3002<\/strong>\u65e0\u8bba\u662f\u5728\u79d1\u7814\u3001\u5de5\u7a0b\u8fd8\u662f\u91d1\u878d\u9886\u57df\uff0c\u8fd9\u4e9b\u5de5\u5177\u90fd\u80fd\u5e2e\u52a9\u6211\u4eec\u9ad8\u6548\u89e3\u51b3\u590d\u6742\u95ee\u9898\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u6839\u636e\u5177\u4f53\u9700\u6c42\u9009\u62e9\u5408\u9002\u7684\u65b9\u6cd5\uff0c\u4e0d\u4ec5\u53ef\u4ee5\u63d0\u9ad8\u6c42\u89e3\u6548\u7387\uff0c\u8fd8\u80fd\u83b7\u5f97\u66f4\u7cbe\u786e\u7684\u7ed3\u679c\u3002\u901a\u8fc7\u4e0d\u65ad\u5b9e\u8df5\u548c\u63a2\u7d22\uff0cPython\u5728\u65b9\u7a0b\u6c42\u89e3\u4e0a\u7684\u6f5c\u529b\u5c06\u4e0d\u65ad\u88ab\u53d1\u6398\uff0c\u4e3a\u5404\u4e2a\u9886\u57df\u5e26\u6765\u66f4\u591a\u7684\u521b\u65b0\u548c\u7a81\u7834\u3002<\/p>\n<\/p>\n<h2><strong>\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n<p> <strong>\u5982\u4f55\u5728Python\u4e2d\u5b9e\u73b0\u6570\u5b66\u8fd0\u7b97\uff1f<\/strong><br \/>Python\u63d0\u4f9b\u4e86\u591a\u79cd\u5185\u7f6e\u51fd\u6570\u548c\u8fd0\u7b97\u7b26\uff0c\u53ef\u4ee5\u8f7b\u677e\u5730\u8fdb\u884c\u57fa\u672c\u6570\u5b66\u8fd0\u7b97\uff0c\u4f8b\u5982\u52a0\u3001\u51cf\u3001\u4e58\u3001\u9664\u7b49\u3002\u7528\u6237\u53ef\u4ee5\u4f7f\u7528\u6807\u51c6\u7684\u8fd0\u7b97\u7b26\uff08\u5982 +, -, *, \/\uff09\u8fdb\u884c\u8fd0\u7b97\uff0c\u4e5f\u53ef\u4ee5\u5229\u7528NumPy\u7b49\u5e93\u8fdb\u884c\u66f4\u590d\u6742\u7684\u6570\u5b66\u8ba1\u7b97\u3002\u6b64\u5916\uff0cPython\u8fd8\u652f\u6301\u6d6e\u70b9\u6570\u548c\u6574\u6570\u8fd0\u7b97\uff0c\u7528\u6237\u53ef\u4ee5\u76f4\u63a5\u5728\u4ea4\u4e92\u5f0f\u73af\u5883\u6216\u811a\u672c\u4e2d\u8f93\u5165\u8868\u8fbe\u5f0f\u8fdb\u884c\u8ba1\u7b97\u3002<\/p>\n<p><strong>Python\u4e2d\u6709\u54ea\u4e9b\u5e93\u53ef\u4ee5\u7528\u6765\u8fdb\u884c\u79d1\u5b66\u8ba1\u7b97\uff1f<\/strong><br \/>\u5728Python\u4e2d\uff0cNumPy\u662f\u4e00\u4e2a\u975e\u5e38\u6d41\u884c\u7684\u5e93\uff0c\u4e13\u4e3a\u79d1\u5b66\u8ba1\u7b97\u8bbe\u8ba1\uff0c\u63d0\u4f9b\u4e86\u9ad8\u6548\u7684\u6570\u7ec4\u64cd\u4f5c\u548c\u5404\u79cd\u6570\u5b66\u51fd\u6570\u3002\u6b64\u5916\uff0cSciPy\u5e93\u5728NumPy\u7684\u57fa\u7840\u4e0a\u6269\u5c55\uff0c\u63d0\u4f9b\u4e86\u66f4\u591a\u7684\u6570\u5b66\u7b97\u6cd5\u548c\u5de5\u5177\uff0c\u5982\u4f18\u5316\u3001\u79ef\u5206\u3001\u63d2\u503c\u7b49\u3002\u5bf9\u4e8e\u66f4\u9ad8\u7ea7\u7684\u6570\u5b66\u5efa\u6a21\u548c\u6570\u636e\u5206\u6790\uff0cPandas\u548cMatplotlib\u4e5f\u5e38\u5e38\u88ab\u4f7f\u7528\uff0c\u4ee5\u5e2e\u52a9\u7528\u6237\u5904\u7406\u6570\u636e\u548c\u53ef\u89c6\u5316\u7ed3\u679c\u3002<\/p>\n<p><strong>\u5982\u4f55\u5728Python\u4e2d\u5904\u7406\u590d\u6742\u7684\u6570\u5b66\u516c\u5f0f\uff1f<\/strong><br \/>\u7528\u6237\u53ef\u4ee5\u4f7f\u7528SymPy\u5e93\u6765\u5904\u7406\u590d\u6742\u7684\u6570\u5b66\u516c\u5f0f\u3002SymPy\u662f\u4e00\u4e2aPython\u5e93\uff0c\u7528\u4e8e\u7b26\u53f7\u6570\u5b66\uff0c\u5141\u8bb8\u7528\u6237\u8fdb\u884c\u4ee3\u6570\u8fd0\u7b97\u3001\u5fae\u79ef\u5206\u3001\u65b9\u7a0b\u6c42\u89e3\u7b49\u3002\u901a\u8fc7\u4f7f\u7528SymPy\uff0c\u7528\u6237\u53ef\u4ee5\u5b9a\u4e49\u7b26\u53f7\u53d8\u91cf\uff0c\u6267\u884c\u7b26\u53f7\u8ba1\u7b97\uff0c\u5e76\u5f97\u5230\u89e3\u6790\u89e3\uff0c\u4ece\u800c\u5728\u5904\u7406\u590d\u6742\u6570\u5b66\u95ee\u9898\u65f6\u66f4\u4e3a\u4fbf\u5229\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u5982\u4f55\u7528Python\u6c42\u89e3\u65b9\u7a0b \u4f7f\u7528Python\u6c42\u89e3\u65b9\u7a0b\u7684\u6838\u5fc3\u65b9\u6cd5\u5305\u62ec\uff1a\u5229\u7528\u7b26\u53f7\u6570\u5b66\u5e93SymPy\u3001\u4f7f\u7528\u6570\u503c\u8ba1\u7b97\u5e93S 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