{"id":1056362,"date":"2024-12-31T14:59:05","date_gmt":"2024-12-31T06:59:05","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/1056362.html"},"modified":"2024-12-31T14:59:08","modified_gmt":"2024-12-31T06:59:08","slug":"%e5%a6%82%e4%bd%95%e7%94%a8python%e6%b1%82%e7%a7%af%e5%88%86%e6%8a%9b%e7%89%a9%e7%ba%bf","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/1056362.html","title":{"rendered":"\u5982\u4f55\u7528python\u6c42\u79ef\u5206\u629b\u7269\u7ebf"},"content":{"rendered":"<p style=\"text-align:center;\" ><img decoding=\"async\" src=\"https:\/\/cdn-docs.pingcode.com\/wp-content\/uploads\/2024\/12\/8f3a7403-e797-4d88-a6e4-10846a05fd38.webp?x-oss-process=image\/auto-orient,1\/format,webp\" alt=\"\u5982\u4f55\u7528python\u6c42\u79ef\u5206\u629b\u7269\u7ebf\" \/><\/p>\n<p><p> <strong>\u5982\u4f55\u7528Python\u6c42\u79ef\u5206\u629b\u7269\u7ebf<\/strong><\/p>\n<\/p>\n<p><p><strong>\u7528Python\u6c42\u79ef\u5206\u629b\u7269\u7ebf\u7684\u65b9\u6cd5\u6709\uff1a\u5229\u7528SymPy\u5e93\u3001SciPy\u5e93\u3001\u6570\u503c\u79ef\u5206\u6cd5\uff08\u5982\u68af\u5f62\u6cd5\u3001\u8f9b\u666e\u68ee\u6cd5\uff09\u7b49\u3002<\/strong>\u672c\u6587\u5c06\u8be6\u7ec6\u4ecb\u7ecd\u5229\u7528SymPy\u5e93\u8fdb\u884c\u7b26\u53f7\u79ef\u5206\u7684\u65b9\u6cd5\u3002<\/p>\n<\/p>\n<p><h3>\u4e00\u3001\u5229\u7528SymPy\u5e93\u8fdb\u884c\u7b26\u53f7\u79ef\u5206<\/h3>\n<\/p>\n<p><p>SymPy \u662f\u4e00\u4e2a\u5f3a\u5927\u7684 Python \u5e93\uff0c\u7528\u4e8e\u7b26\u53f7\u6570\u5b66\u8ba1\u7b97\u3002\u901a\u8fc7 SymPy\uff0c\u6211\u4eec\u53ef\u4ee5\u8f7b\u677e\u5730\u5bf9\u51fd\u6570\u8fdb\u884c\u79ef\u5206\uff0c\u7279\u522b\u662f\u5bf9\u4e8e\u629b\u7269\u7ebf\u8fd9\u6837\u7b80\u5355\u7684\u51fd\u6570\u3002<\/p>\n<\/p>\n<p><h4>1\u3001\u5b89\u88c5SymPy\u5e93<\/h4>\n<\/p>\n<p><p>\u9996\u5148\u9700\u8981\u786e\u4fdd\u4f60\u7684Python\u73af\u5883\u4e2d\u5b89\u88c5\u4e86SymPy\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-bash\">pip install sympy<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h4>2\u3001\u5b9a\u4e49\u629b\u7269\u7ebf\u51fd\u6570<\/h4>\n<\/p>\n<p><p>\u5728SymPy\u4e2d\uff0c\u6211\u4eec\u9996\u5148\u9700\u8981\u5b9a\u4e49\u7b26\u53f7\u53d8\u91cf\u548c\u51fd\u6570\u3002\u4f8b\u5982\uff0c\u5982\u679c\u6211\u4eec\u8981\u5bf9\u629b\u7269\u7ebf <code>y = ax^2 + bx + c<\/code> \u8fdb\u884c\u79ef\u5206\uff0c\u6211\u4eec\u9700\u8981\u5b9a\u4e49\u53d8\u91cf <code>x<\/code> \u548c\u51fd\u6570 <code>y<\/code>\u3002<\/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.Symbol(&#39;x&#39;)<\/p>\n<h2><strong>\u5b9a\u4e49\u629b\u7269\u7ebf\u51fd\u6570 y = ax^2 + bx + c<\/strong><\/h2>\n<p>a, b, c = sp.symbols(&#39;a b c&#39;)<\/p>\n<p>y = a*x2 + b*x + c<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h4>3\u3001\u8fdb\u884c\u4e0d\u5b9a\u79ef\u5206<\/h4>\n<\/p>\n<p><p>\u5229\u7528SymPy\u7684 <code>integrate<\/code> \u51fd\u6570\uff0c\u6211\u4eec\u53ef\u4ee5\u5bf9\u629b\u7269\u7ebf\u51fd\u6570\u8fdb\u884c\u4e0d\u5b9a\u79ef\u5206\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\"># \u5bf9 y \u8fdb\u884c\u4e0d\u5b9a\u79ef\u5206<\/p>\n<p>integral_y = sp.integrate(y, x)<\/p>\n<p>print(integral_y)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u8f93\u51fa\u7ed3\u679c\u5c06\u662f\uff1a<\/p>\n<\/p>\n<p><pre><code>a*x&lt;strong&gt;3\/3 + b*x&lt;\/strong&gt;2\/2 + c*x<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h4>4\u3001\u8fdb\u884c\u5b9a\u79ef\u5206<\/h4>\n<\/p>\n<p><p>\u5982\u679c\u6211\u4eec\u9700\u8981\u5bf9\u629b\u7269\u7ebf\u51fd\u6570\u5728\u67d0\u4e2a\u533a\u95f4 <code>[x1, x2]<\/code> \u4e0a\u8fdb\u884c\u5b9a\u79ef\u5206\uff0c\u53ef\u4ee5\u5728 <code>integrate<\/code> \u51fd\u6570\u4e2d\u6307\u5b9a\u79ef\u5206\u4e0a\u4e0b\u9650\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\"># \u5b9a\u79ef\u5206\uff0c\u79ef\u5206\u533a\u95f4\u4e3a [x1, x2]<\/p>\n<p>x1 = sp.Symbol(&#39;x1&#39;)<\/p>\n<p>x2 = sp.Symbol(&#39;x2&#39;)<\/p>\n<p>definite_integral_y = sp.integrate(y, (x, x1, x2))<\/p>\n<p>print(definite_integral_y)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u8f93\u51fa\u7ed3\u679c\u5c06\u662f\uff1a<\/p>\n<\/p>\n<p><pre><code>a*(x2&lt;strong&gt;3\/3 - x1&lt;\/strong&gt;3\/3) + b*(x2&lt;strong&gt;2\/2 - x1&lt;\/strong&gt;2\/2) + c*(x2 - x1)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h3>\u4e8c\u3001\u5229\u7528SciPy\u5e93\u8fdb\u884c\u6570\u503c\u79ef\u5206<\/h3>\n<\/p>\n<p><p>SciPy \u662f\u4e00\u4e2a\u7528\u4e8e\u79d1\u5b66\u8ba1\u7b97\u7684Python\u5e93\uff0c\u53ef\u4ee5\u8fdb\u884c\u6570\u503c\u79ef\u5206\u3002\u5bf9\u4e8e\u629b\u7269\u7ebf\u51fd\u6570 <code>y = ax^2 + bx + c<\/code>\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528SciPy\u7684 <code>quad<\/code> \u51fd\u6570\u8fdb\u884c\u79ef\u5206\u3002<\/p>\n<\/p>\n<p><h4>1\u3001\u5b89\u88c5SciPy\u5e93<\/h4>\n<\/p>\n<p><p>\u9996\u5148\u786e\u4fdd\u4f60\u7684Python\u73af\u5883\u4e2d\u5b89\u88c5\u4e86SciPy\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-bash\">pip install scipy<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h4>2\u3001\u5b9a\u4e49\u629b\u7269\u7ebf\u51fd\u6570<\/h4>\n<\/p>\n<p><p>\u5b9a\u4e49\u629b\u7269\u7ebf\u51fd\u6570 <code>y = ax^2 + bx + c<\/code>\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import numpy as np<\/p>\n<p>from scipy.integrate import quad<\/p>\n<h2><strong>\u5b9a\u4e49\u629b\u7269\u7ebf\u51fd\u6570 y = ax^2 + bx + c<\/strong><\/h2>\n<p>def parabola(x, a, b, c):<\/p>\n<p>    return a*x2 + b*x + c<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h4>3\u3001\u8fdb\u884c\u6570\u503c\u79ef\u5206<\/h4>\n<\/p>\n<p><p>\u4f7f\u7528 <code>quad<\/code> \u51fd\u6570\u5bf9\u629b\u7269\u7ebf\u51fd\u6570\u5728\u533a\u95f4 <code>[x1, x2]<\/code> \u4e0a\u8fdb\u884c\u6570\u503c\u79ef\u5206\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\"># \u5b9a\u4e49\u53c2\u6570<\/p>\n<p>a = 1<\/p>\n<p>b = 2<\/p>\n<p>c = 3<\/p>\n<p>x1 = 0<\/p>\n<p>x2 = 1<\/p>\n<h2><strong>\u8fdb\u884c\u6570\u503c\u79ef\u5206<\/strong><\/h2>\n<p>result, error = quad(parabola, x1, x2, args=(a, b, c))<\/p>\n<p>print(f&quot;\u79ef\u5206\u7ed3\u679c: {result}, \u79ef\u5206\u8bef\u5dee: {error}&quot;)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h3>\u4e09\u3001\u6570\u503c\u79ef\u5206\u65b9\u6cd5<\/h3>\n<\/p>\n<p><p>\u9664\u4e86\u4f7f\u7528\u73b0\u6210\u7684\u5e93\uff0c\u6211\u4eec\u8fd8\u53ef\u4ee5\u4f7f\u7528\u4e00\u4e9b\u6570\u503c\u79ef\u5206\u65b9\u6cd5\uff0c\u5982\u68af\u5f62\u6cd5\u548c\u8f9b\u666e\u68ee\u6cd5\uff0c\u5bf9\u629b\u7269\u7ebf\u51fd\u6570\u8fdb\u884c\u79ef\u5206\u3002<\/p>\n<\/p>\n<p><h4>1\u3001\u68af\u5f62\u6cd5<\/h4>\n<\/p>\n<p><p>\u68af\u5f62\u6cd5\u662f\u4e00\u79cd\u7b80\u5355\u7684\u6570\u503c\u79ef\u5206\u65b9\u6cd5\uff0c\u901a\u8fc7\u5c06\u79ef\u5206\u533a\u95f4\u5206\u6210\u591a\u4e2a\u5c0f\u68af\u5f62\uff0c\u5e76\u8ba1\u7b97\u8fd9\u4e9b\u68af\u5f62\u7684\u9762\u79ef\u4e4b\u548c\u6765\u8fd1\u4f3c\u79ef\u5206\u7ed3\u679c\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import numpy as np<\/p>\n<p>def trapezoidal_rule(func, a, b, n):<\/p>\n<p>    x = np.linspace(a, b, n+1)<\/p>\n<p>    y = func(x)<\/p>\n<p>    h = (b - a) \/ n<\/p>\n<p>    integral = (h\/2) * np.sum(y[:-1] + y[1:])<\/p>\n<p>    return integral<\/p>\n<h2><strong>\u5b9a\u4e49\u629b\u7269\u7ebf\u51fd\u6570<\/strong><\/h2>\n<p>def parabola(x):<\/p>\n<p>    a = 1<\/p>\n<p>    b = 2<\/p>\n<p>    c = 3<\/p>\n<p>    return a*x2 + b*x + c<\/p>\n<h2><strong>\u8fdb\u884c\u79ef\u5206<\/strong><\/h2>\n<p>a = 0<\/p>\n<p>b = 1<\/p>\n<p>n = 1000<\/p>\n<p>result = trapezoidal_rule(parabola, a, b, n)<\/p>\n<p>print(f&quot;\u68af\u5f62\u6cd5\u79ef\u5206\u7ed3\u679c: {result}&quot;)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h4>2\u3001\u8f9b\u666e\u68ee\u6cd5<\/h4>\n<\/p>\n<p><p>\u8f9b\u666e\u68ee\u6cd5\u662f\u4e00\u79cd\u66f4\u7cbe\u786e\u7684\u6570\u503c\u79ef\u5206\u65b9\u6cd5\uff0c\u901a\u8fc7\u5c06\u79ef\u5206\u533a\u95f4\u5206\u6210\u591a\u4e2a\u5c0f\u533a\u95f4\uff0c\u5e76\u4f7f\u7528\u4e8c\u6b21\u63d2\u503c\u591a\u9879\u5f0f\u6765\u8fd1\u4f3c\u51fd\u6570\u503c\uff0c\u4ece\u800c\u63d0\u9ad8\u79ef\u5206\u7cbe\u5ea6\u3002<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">def simpsons_rule(func, a, b, n):<\/p>\n<p>    if n % 2 == 1:<\/p>\n<p>        n += 1  # n\u5fc5\u987b\u662f\u5076\u6570<\/p>\n<p>    x = np.linspace(a, b, n+1)<\/p>\n<p>    y = func(x)<\/p>\n<p>    h = (b - a) \/ n<\/p>\n<p>    integral = (h\/3) * np.sum(y[0] + y[-1] + 4*np.sum(y[1:-1:2]) + 2*np.sum(y[2:-2:2]))<\/p>\n<p>    return integral<\/p>\n<h2><strong>\u8fdb\u884c\u79ef\u5206<\/strong><\/h2>\n<p>a = 0<\/p>\n<p>b = 1<\/p>\n<p>n = 1000<\/p>\n<p>result = simpsons_rule(parabola, a, b, n)<\/p>\n<p>print(f&quot;\u8f9b\u666e\u68ee\u6cd5\u79ef\u5206\u7ed3\u679c: {result}&quot;)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><h3>\u56db\u3001\u603b\u7ed3<\/h3>\n<\/p>\n<p><p>\u672c\u6587\u8be6\u7ec6\u4ecb\u7ecd\u4e86\u7528Python\u6c42\u79ef\u5206\u629b\u7269\u7ebf\u7684\u51e0\u79cd\u65b9\u6cd5\uff0c\u5305\u62ec\u5229\u7528SymPy\u5e93\u8fdb\u884c\u7b26\u53f7\u79ef\u5206\u3001\u5229\u7528SciPy\u5e93\u8fdb\u884c\u6570\u503c\u79ef\u5206\uff0c\u4ee5\u53ca\u4f7f\u7528\u68af\u5f62\u6cd5\u548c\u8f9b\u666e\u68ee\u6cd5\u8fdb\u884c\u6570\u503c\u79ef\u5206\u3002\u901a\u8fc7\u8fd9\u4e9b\u65b9\u6cd5\uff0c\u6211\u4eec\u53ef\u4ee5\u8f7b\u677e\u5730\u5bf9\u629b\u7269\u7ebf\u51fd\u6570\u8fdb\u884c\u79ef\u5206\uff0c\u4ece\u800c\u89e3\u51b3\u5b9e\u9645\u95ee\u9898\u3002\u5e0c\u671b\u672c\u6587\u5bf9\u4f60\u6709\u6240\u5e2e\u52a9\uff01<\/p>\n<\/p>\n<h2><strong>\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n<p> <strong>\u5982\u4f55\u7528Python\u8ba1\u7b97\u629b\u7269\u7ebf\u7684\u5b9a\u79ef\u5206\uff1f<\/strong><br \/>\u53ef\u4ee5\u4f7f\u7528SciPy\u5e93\u4e2d\u7684<code>quad<\/code>\u51fd\u6570\u6765\u8ba1\u7b97\u629b\u7269\u7ebf\u7684\u5b9a\u79ef\u5206\u3002\u9996\u5148\uff0c\u5b9a\u4e49\u629b\u7269\u7ebf\u7684\u65b9\u7a0b\uff0c\u4f8b\u5982y = ax^2 + bx + c\uff0c\u7136\u540e\u8bbe\u7f6e\u79ef\u5206\u7684\u4e0a\u4e0b\u9650\u3002\u4ee5\u4e0b\u662f\u4e00\u4e2a\u7b80\u5355\u7684\u4ee3\u7801\u793a\u4f8b\uff1a<\/p>\n<pre><code class=\"language-python\">import numpy as np\nfrom scipy.integrate import quad\n\n# \u5b9a\u4e49\u629b\u7269\u7ebf\u65b9\u7a0b\ndef parabola(x):\n    a = 1  # \u8bbe\u5b9aa\u7684\u503c\n    b = 0  # \u8bbe\u5b9ab\u7684\u503c\n    c = 0  # \u8bbe\u5b9ac\u7684\u503c\n    return a * x**2 + b * x + c\n\n# \u8ba1\u7b97\u79ef\u5206\nlower_limit = 0  # \u79ef\u5206\u4e0b\u9650\nupper_limit = 1  # \u79ef\u5206\u4e0a\u9650\nintegral, error = quad(parabola, lower_limit, upper_limit)\n\nprint(f&quot;\u79ef\u5206\u7ed3\u679c: {integral}, \u8bef\u5dee: {error}&quot;)\n<\/code><\/pre>\n<p><strong>\u5728Python\u4e2d\u5982\u4f55\u53ef\u89c6\u5316\u629b\u7269\u7ebf\u53ca\u5176\u79ef\u5206\u533a\u57df\uff1f<\/strong><br \/>\u4f7f\u7528Matplotlib\u5e93\u53ef\u4ee5\u5f88\u65b9\u4fbf\u5730\u53ef\u89c6\u5316\u629b\u7269\u7ebf\u53ca\u5176\u79ef\u5206\u533a\u57df\u3002\u901a\u8fc7\u7ed8\u5236\u629b\u7269\u7ebf\u7684\u56fe\u5f62\u5e76\u586b\u5145\u79ef\u5206\u533a\u57df\uff0c\u7528\u6237\u53ef\u4ee5\u76f4\u89c2\u5730\u7406\u89e3\u79ef\u5206\u7684\u542b\u4e49\u3002\u4ee5\u4e0b\u662f\u4e00\u4e2a\u793a\u4f8b\u4ee3\u7801\uff1a<\/p>\n<pre><code class=\"language-python\">import numpy as np\nimport matplotlib.pyplot as plt\n\n# \u5b9a\u4e49\u629b\u7269\u7ebf\u65b9\u7a0b\ndef parabola(x):\n    return x**2\n\n# \u751f\u6210x\u503c\nx = np.linspace(-1, 1, 100)\ny = parabola(x)\n\n# \u521b\u5efa\u56fe\u5f62\nplt.plot(x, y, label=&#39;y = x^2&#39;)\nplt.fill_between(x, y, where=(x &gt;= 0) &amp; (x &lt;= 1), color=&#39;lightgray&#39;, alpha=0.5, label=&#39;\u79ef\u5206\u533a\u57df&#39;)\nplt.xlim(-1, 1)\nplt.ylim(0, 1)\nplt.axhline(0, color=&#39;black&#39;, lw=0.5)\nplt.axvline(0, color=&#39;black&#39;, lw=0.5)\nplt.title(&#39;\u629b\u7269\u7ebf\u53ca\u5176\u79ef\u5206\u533a\u57df&#39;)\nplt.legend()\nplt.show()\n<\/code><\/pre>\n<p><strong>\u5728Python\u4e2d\u5982\u4f55\u5904\u7406\u590d\u6742\u7684\u629b\u7269\u7ebf\u79ef\u5206\uff1f<\/strong><br \/>\u5bf9\u4e8e\u66f4\u590d\u6742\u7684\u629b\u7269\u7ebf\u65b9\u7a0b\uff0c\u7528\u6237\u53ef\u4ee5\u901a\u8fc7\u81ea\u5b9a\u4e49\u79ef\u5206\u51fd\u6570\u6765\u5904\u7406\u3002\u786e\u4fdd\u51fd\u6570\u7684\u5b9a\u4e49\u51c6\u786e\uff0c\u4e14\u5728\u8ba1\u7b97\u65f6\u63d0\u4f9b\u6b63\u786e\u7684\u4e0a\u4e0b\u9650\u3002\u4f7f\u7528<code>numpy<\/code>\u548c<code>scipy<\/code>\u5e93\uff0c\u7528\u6237\u53ef\u4ee5\u8ba1\u7b97\u591a\u79cd\u5f62\u5f0f\u7684\u629b\u7269\u7ebf\u79ef\u5206\u3002\u5bf9\u4e8e\u7279\u5b9a\u95ee\u9898\uff0c\u53ef\u80fd\u8fd8\u9700\u8981\u8003\u8651\u6570\u503c\u79ef\u5206\u7684\u7cbe\u5ea6\u548c\u8bef\u5dee\u63a7\u5236\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u5982\u4f55\u7528Python\u6c42\u79ef\u5206\u629b\u7269\u7ebf \u7528Python\u6c42\u79ef\u5206\u629b\u7269\u7ebf\u7684\u65b9\u6cd5\u6709\uff1a\u5229\u7528SymPy\u5e93\u3001SciPy\u5e93\u3001\u6570\u503c\u79ef\u5206\u6cd5 [&hellip;]","protected":false},"author":3,"featured_media":1056375,"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\/1056362"}],"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=1056362"}],"version-history":[{"count":"1","href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1056362\/revisions"}],"predecessor-version":[{"id":1056378,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/posts\/1056362\/revisions\/1056378"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media\/1056375"}],"wp:attachment":[{"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/media?parent=1056362"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/categories?post=1056362"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/docs.pingcode.com\/wp-json\/wp\/v2\/tags?post=1056362"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}