{"id":1004420,"date":"2024-12-27T10:26:14","date_gmt":"2024-12-27T02:26:14","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/1004420.html"},"modified":"2024-12-27T10:26:20","modified_gmt":"2024-12-27T02:26:20","slug":"%e5%a6%82%e4%bd%95%e7%94%a8python%e7%94%bbsincx","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/1004420.html","title":{"rendered":"\u5982\u4f55\u7528python\u753bsincx"},"content":{"rendered":"<p style=\"text-align:center;\" ><img decoding=\"async\" src=\"https:\/\/cdn-kb.worktile.com\/kb\/wp-content\/uploads\/2024\/04\/25081350\/e5705b7f-7062-4928-8be0-b2c497accfc0.webp\" alt=\"\u5982\u4f55\u7528python\u753bsincx\" \/><\/p>\n<p><p> <strong>\u8981\u7528Python\u753b\u51fasinc(x)\u51fd\u6570\uff0c\u53ef\u4ee5\u4f7f\u7528matplotlib\u5e93\u7ed8\u5236\u56fe\u5f62\u3001NumPy\u5e93\u751f\u6210\u6570\u636e\u3001\u5b9a\u4e49sinc\u51fd\u6570\u5e76\u7ed8\u5236\u56fe\u50cf\u3002<\/strong>\u8fd9\u9700\u8981\u7406\u89e3sinc\u51fd\u6570\u7684\u5b9a\u4e49\u3001\u5982\u4f55\u4f7f\u7528Python\u5e93\u751f\u6210\u6570\u636e\u548c\u7ed8\u5236\u56fe\u50cf\u3002<strong>\u5728Python\u4e2d\uff0csinc(x)\u901a\u5e38\u5b9a\u4e49\u4e3asin(x)\/x\uff0c\u5f53x\u4e3a0\u65f6\uff0c\u5176\u503c\u4e3a1<\/strong>\u3002\u4e0b\u9762\u8be6\u7ec6\u8bf4\u660e\u5982\u4f55\u5b9e\u73b0\u8fd9\u4e9b\u6b65\u9aa4\u3002<\/p>\n<\/p>\n<p><p>\u4e00\u3001\u4e86\u89e3sinc\u51fd\u6570<\/p>\n<\/p>\n<p><p>sinc\u51fd\u6570\u662f\u4e00\u79cd\u91cd\u8981\u7684\u6570\u5b66\u51fd\u6570\uff0c\u5e7f\u6cdb\u5e94\u7528\u4e8e\u4fe1\u53f7\u5904\u7406\u548c\u901a\u4fe1\u9886\u57df\u3002<strong>\u5728\u8fde\u7eed\u65f6\u95f4\u4fe1\u53f7\u5904\u7406\u4e2d\uff0csinc\u51fd\u6570\u5b9a\u4e49\u4e3asin(\u03c0x)\/(\u03c0x)\uff0c\u800c\u5728\u79bb\u6563\u65f6\u95f4\u4fe1\u53f7\u5904\u7406\u4e2d\uff0c\u901a\u5e38\u5b9a\u4e49\u4e3asin(x)\/x<\/strong>\u3002\u5728\u7f16\u7a0b\u5b9e\u8df5\u4e2d\uff0c\u6211\u4eec\u901a\u5e38\u91c7\u7528\u540e\u8005\u3002sinc\u51fd\u6570\u7684\u56fe\u5f62\u662f\u4e00\u4e2a\u4e2d\u5fc3\u5bf9\u79f0\u4e8e\u539f\u70b9\u7684\u8870\u51cf\u632f\u8361\u6ce2\u5f62\uff0c\u5177\u6709\u65e0\u9650\u7684\u96f6\u70b9\u548c\u6781\u9650\u503c\u3002<\/p>\n<\/p>\n<ol>\n<li>\u6570\u5b66\u5b9a\u4e49<\/li>\n<\/ol>\n<p><p>sinc\u51fd\u6570\u7684\u6570\u5b66\u5b9a\u4e49\u53ef\u4ee5\u6839\u636e\u5e94\u7528\u573a\u666f\u7684\u4e0d\u540c\u800c\u6709\u6240\u5dee\u5f02\u3002<strong>\u5728\u4fe1\u53f7\u5904\u7406\u4e2d\uff0csinc\u51fd\u6570\u7684\u5b9a\u4e49\u4e3asinc(x) = sin(\u03c0x)\/(\u03c0x)\uff0c\u800c\u5728\u5e38\u89c4\u6570\u5b66\u8ba1\u7b97\u4e2d\uff0c\u901a\u5e38\u5b9a\u4e49\u4e3asinc(x) = sin(x)\/x<\/strong>\u3002\u8fd9\u4e24\u79cd\u5b9a\u4e49\u5728x=0\u5904\u90fd\u5177\u6709\u4e0d\u786e\u5b9a\u6027\uff0c\u4f46\u53ef\u4ee5\u901a\u8fc7\u6781\u9650\u6c42\u503c\u5f97\u51fasinc(0) = 1\u3002<\/p>\n<\/p>\n<ol start=\"2\">\n<li>\u5e94\u7528\u573a\u666f<\/li>\n<\/ol>\n<p><p>sinc\u51fd\u6570\u5728\u4fe1\u53f7\u5904\u7406\u548c\u6ee4\u6ce2\u5668\u8bbe\u8ba1\u4e2d\u6709\u7740\u5e7f\u6cdb\u7684\u5e94\u7528\u3002<strong>\u5b83\u662f\u7406\u60f3\u4f4e\u901a\u6ee4\u6ce2\u5668\u7684\u51b2\u6fc0\u54cd\u5e94\u51fd\u6570\uff0c\u540c\u65f6\u5728\u901a\u4fe1\u7cfb\u7edf\u4e2d\u7528\u4e8e\u4fe1\u53f7\u7684\u5e26\u9650\u548c\u590d\u539f<\/strong>\u3002\u6b64\u5916\uff0csinc\u51fd\u6570\u8fd8\u5728\u5085\u91cc\u53f6\u53d8\u6362\u548c\u5377\u79ef\u8fd0\u7b97\u4e2d\u626e\u6f14\u7740\u91cd\u8981\u89d2\u8272\u3002<\/p>\n<\/p>\n<p><p>\u4e8c\u3001\u5b89\u88c5Python\u76f8\u5173\u5e93<\/p>\n<\/p>\n<p><p>\u5728\u7ed8\u5236sinc\u51fd\u6570\u4e4b\u524d\uff0c\u9996\u5148\u9700\u8981\u786e\u4fdd\u5b89\u88c5\u4e86\u5fc5\u8981\u7684Python\u5e93\u3002\u6211\u4eec\u9700\u8981\u5b89\u88c5NumPy\u5e93\u7528\u4e8e\u6570\u503c\u8ba1\u7b97\u548cmatplotlib\u5e93\u7528\u4e8e\u7ed8\u56fe\u3002<\/p>\n<\/p>\n<ol>\n<li>\u5b89\u88c5NumPy<\/li>\n<\/ol>\n<p><p>NumPy\u662f\u4e00\u4e2a\u5f3a\u5927\u7684\u79d1\u5b66\u8ba1\u7b97\u5e93\uff0c\u63d0\u4f9b\u4e86\u591a\u7ef4\u6570\u7ec4\u5bf9\u8c61\u548c\u5404\u79cd\u6570\u5b66\u51fd\u6570\u3002\u53ef\u4ee5\u901a\u8fc7pip\u547d\u4ee4\u5b89\u88c5\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-bash\">pip install numpy<\/p>\n<p><\/code><\/pre>\n<\/p>\n<ol start=\"2\">\n<li>\u5b89\u88c5matplotlib<\/li>\n<\/ol>\n<p><p>matplotlib\u662f\u4e00\u4e2a\u7528\u4e8e\u7ed8\u5236\u9759\u6001\u3001\u52a8\u6001\u548c\u4ea4\u4e92\u5f0f\u56fe\u5f62\u7684Python\u5e93\u3002\u53ef\u4ee5\u901a\u8fc7pip\u547d\u4ee4\u5b89\u88c5\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-bash\">pip install matplotlib<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u4e09\u3001\u7f16\u5199Python\u4ee3\u7801\u7ed8\u5236sinc(x)\u51fd\u6570<\/p>\n<\/p>\n<p><p>\u5b89\u88c5\u5b8c\u76f8\u5173\u5e93\u540e\uff0c\u53ef\u4ee5\u7f16\u5199Python\u4ee3\u7801\u4ee5\u7ed8\u5236sinc(x)\u51fd\u6570\u7684\u56fe\u5f62\u3002\u4ee5\u4e0b\u662f\u8be6\u7ec6\u6b65\u9aa4\uff1a<\/p>\n<\/p>\n<ol>\n<li>\u5bfc\u5165\u5e93<\/li>\n<\/ol>\n<p><p>\u9996\u5148\u9700\u8981\u5bfc\u5165NumPy\u548cmatplotlib\u5e93\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">import numpy as np<\/p>\n<p>import matplotlib.pyplot as plt<\/p>\n<p><\/code><\/pre>\n<\/p>\n<ol start=\"2\">\n<li>\u5b9a\u4e49sinc\u51fd\u6570<\/li>\n<\/ol>\n<p><p>\u5b9a\u4e49sinc\u51fd\u6570\uff0c\u8003\u8651\u5230x=0\u7684\u60c5\u51b5\u9700\u8981\u5355\u72ec\u5904\u7406\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">def sinc(x):<\/p>\n<p>    return np.where(x == 0, 1, np.sin(x) \/ x)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u8fd9\u91cc\u4f7f\u7528<code>np.where<\/code>\u51fd\u6570\u5904\u7406x=0\u7684\u60c5\u51b5\uff0c\u4ee5\u907f\u514d\u8ba1\u7b97sin(0)\/0\u4ea7\u751f\u9519\u8bef\u3002<\/p>\n<\/p>\n<ol start=\"3\">\n<li>\u751f\u6210\u6570\u636e<\/li>\n<\/ol>\n<p><p>\u4f7f\u7528NumPy\u751f\u6210x\u8f74\u7684\u6570\u636e\u70b9\uff0c\u5e76\u8ba1\u7b97\u5bf9\u5e94\u7684sinc\u503c\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">x = np.linspace(-20, 20, 1000)  # \u751f\u6210\u4ece-20\u523020\u76841000\u4e2a\u70b9<\/p>\n<p>y = sinc(x)<\/p>\n<p><\/code><\/pre>\n<\/p>\n<ol start=\"4\">\n<li>\u7ed8\u5236\u56fe\u5f62<\/li>\n<\/ol>\n<p><p>\u4f7f\u7528matplotlib\u7ed8\u5236sinc\u51fd\u6570\u7684\u56fe\u5f62\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">plt.plot(x, y)<\/p>\n<p>plt.title(&#39;sinc(x) Function&#39;)<\/p>\n<p>plt.xlabel(&#39;x&#39;)<\/p>\n<p>plt.ylabel(&#39;sinc(x)&#39;)<\/p>\n<p>plt.grid(True)<\/p>\n<p>plt.show()<\/p>\n<p><\/code><\/pre>\n<\/p>\n<p><p>\u6b64\u4ee3\u7801\u6bb5\u7ed8\u5236\u4e86sinc\u51fd\u6570\u7684\u66f2\u7ebf\uff0c\u5e76\u4e3a\u56fe\u5f62\u6dfb\u52a0\u4e86\u6807\u9898\u548c\u5750\u6807\u8f74\u6807\u7b7e\u3002<\/p>\n<\/p>\n<p><p>\u56db\u3001\u4f18\u5316\u548c\u6269\u5c55<\/p>\n<\/p>\n<p><p>\u5728\u7ed8\u5236\u57fa\u672c\u7684sinc\u51fd\u6570\u540e\uff0c\u53ef\u4ee5\u5bf9\u56fe\u5f62\u8fdb\u884c\u4f18\u5316\u548c\u6269\u5c55\uff0c\u4f8b\u5982\u589e\u52a0\u66f4\u591a\u7684\u6837\u5f0f\u3001\u6ce8\u91ca\u6216\u4ea4\u4e92\u529f\u80fd\u3002<\/p>\n<\/p>\n<ol>\n<li>\u56fe\u5f62\u6837\u5f0f<\/li>\n<\/ol>\n<p><p>\u53ef\u4ee5\u901a\u8fc7matplotlib\u63d0\u4f9b\u7684\u6837\u5f0f\u529f\u80fd\u6765\u7f8e\u5316\u56fe\u5f62\u3002\u4f8b\u5982\uff0c\u4f7f\u7528\u4e0d\u540c\u7684\u989c\u8272\u548c\u7ebf\u578b\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">plt.plot(x, y, &#39;r--&#39;)  # \u7ea2\u8272\u865a\u7ebf<\/p>\n<p><\/code><\/pre>\n<\/p>\n<ol start=\"2\">\n<li>\u6dfb\u52a0\u6ce8\u91ca<\/li>\n<\/ol>\n<p><p>\u5728\u56fe\u5f62\u4e0a\u6dfb\u52a0\u6ce8\u91ca\uff0c\u4ee5\u6807\u8bb0\u7279\u5b9a\u7684\u70b9\u6216\u533a\u57df\uff1a<\/p>\n<\/p>\n<p><pre><code class=\"language-python\">plt.annotate(&#39;Peak&#39;, xy=(0, 1), xytext=(-10, 0.5),<\/p>\n<p>             arrowprops=dict(facecolor=&#39;black&#39;, shrink=0.05))<\/p>\n<p><\/code><\/pre>\n<\/p>\n<ol start=\"3\">\n<li>\u4ea4\u4e92\u529f\u80fd<\/li>\n<\/ol>\n<p><p>\u4f7f\u7528matplotlib\u7684\u4ea4\u4e92\u5de5\u5177\u6216\u7ed3\u5408\u5176\u4ed6\u5e93\u5982Plotly\uff0c\u4ee5\u5b9e\u73b0\u4ea4\u4e92\u5f0f\u56fe\u5f62\u6d4f\u89c8\u548c\u5206\u6790\u3002<\/p>\n<\/p>\n<p><p>\u4e94\u3001\u603b\u7ed3<\/p>\n<\/p>\n<p><p>\u901a\u8fc7\u4f7f\u7528Python\u7684NumPy\u548cmatplotlib\u5e93\uff0c\u53ef\u4ee5\u8f7b\u677e\u5730\u7ed8\u5236sinc(x)\u51fd\u6570\u7684\u56fe\u5f62\u3002<strong>\u638c\u63e1sinc\u51fd\u6570\u7684\u6570\u5b66\u5b9a\u4e49\u3001\u5e94\u7528\u573a\u666f\u548cPython\u5b9e\u73b0\u65b9\u6cd5\uff0c\u5bf9\u4e8e\u4fe1\u53f7\u5904\u7406\u548c\u79d1\u5b66\u8ba1\u7b97\u5177\u6709\u91cd\u8981\u610f\u4e49<\/strong>\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u53ef\u4ee5\u6839\u636e\u9700\u8981\u5bf9sinc\u51fd\u6570\u8fdb\u884c\u8fdb\u4e00\u6b65\u7684\u5206\u6790\u548c\u5904\u7406\uff0c\u4ee5\u6ee1\u8db3\u7279\u5b9a\u7684\u9700\u6c42\u3002\u968f\u7740\u5bf9Python\u7ed8\u56fe\u5e93\u548c\u6570\u503c\u8ba1\u7b97\u7684\u6df1\u5165\u5b66\u4e60\uff0c\u53ef\u4ee5\u5b9e\u73b0\u66f4\u52a0\u590d\u6742\u548c\u7cbe\u7f8e\u7684\u56fe\u5f62\u7ed8\u5236\u3002<\/p>\n<\/p>\n<h2><strong>\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n<p> <strong>\u5982\u4f55\u7528Python\u7ed8\u5236sinc\u51fd\u6570\u7684\u56fe\u5f62\uff1f<\/strong><br \/>\u8981\u7ed8\u5236sinc\u51fd\u6570\uff0c\u60a8\u53ef\u4ee5\u4f7f\u7528NumPy\u548cMatplotlib\u5e93\u3002\u9996\u5148\uff0c\u5b89\u88c5\u8fd9\u4e24\u4e2a\u5e93\uff08\u5982\u679c\u5c1a\u672a\u5b89\u88c5\uff09\uff0c\u7136\u540e\u4f7f\u7528NumPy\u751f\u6210x\u503c\u53ca\u5176\u5bf9\u5e94\u7684sinc\u51fd\u6570\u503c\uff0c\u6700\u540e\u5229\u7528Matplotlib\u7ed8\u5236\u56fe\u5f62\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\nimport matplotlib.pyplot as plt\n\nx = np.linspace(-10, 10, 1000)\ny = np.sinc(x \/ np.pi)  # sinc(x) = sin(pi*x) \/ (pi*x)\n\nplt.plot(x, y)\nplt.title(&#39;Sinc Function&#39;)\nplt.xlabel(&#39;x&#39;)\nplt.ylabel(&#39;sinc(x)&#39;)\nplt.grid()\nplt.show()\n<\/code><\/pre>\n<p><strong>\u7ed8\u5236sinc\u51fd\u6570\u65f6\u9700\u8981\u6ce8\u610f\u54ea\u4e9b\u53c2\u6570\u8bbe\u7f6e\uff1f<\/strong><br \/>\u5728\u7ed8\u5236sinc\u51fd\u6570\u65f6\uff0c\u53ef\u4ee5\u8c03\u6574x\u7684\u8303\u56f4\u548c\u95f4\u9694\uff0c\u4ee5\u4fbf\u66f4\u597d\u5730\u89c2\u5bdf\u51fd\u6570\u7684\u53d8\u5316\u3002\u4f8b\u5982\uff0c\u8bbe\u7f6ex\u7684\u8303\u56f4\u4e3a-10\u523010\uff0c\u5e76\u4f7f\u75281000\u4e2a\u70b9\u6765\u786e\u4fdd\u56fe\u5f62\u7684\u5e73\u6ed1\u5ea6\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u53ef\u4ee5\u901a\u8fc7\u8c03\u6574\u56fe\u5f62\u7684\u6807\u9898\u3001\u6807\u7b7e\u4ee5\u53ca\u7f51\u683c\u7684\u663e\u793a\u6765\u589e\u5f3a\u53ef\u8bfb\u6027\u3002<\/p>\n<p><strong>\u5982\u4f55\u81ea\u5b9a\u4e49sinc\u51fd\u6570\u7684\u6837\u5f0f\u548c\u989c\u8272\uff1f<\/strong><br \/>Matplotlib\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u81ea\u5b9a\u4e49\u9009\u9879\uff0c\u60a8\u53ef\u4ee5\u901a\u8fc7<code>plt.plot()<\/code>\u51fd\u6570\u7684\u53c2\u6570\u6765\u8bbe\u7f6e\u7ebf\u6761\u989c\u8272\u3001\u6837\u5f0f\u548c\u5bbd\u5ea6\u3002\u4f8b\u5982\uff0c\u53ef\u4ee5\u4f7f\u7528<code>plt.plot(x, y, color=&#39;red&#39;, linestyle=&#39;--&#39;, linewidth=2)<\/code>\u6765\u5c06\u7ebf\u6761\u8bbe\u7f6e\u4e3a\u7ea2\u8272\u3001\u865a\u7ebf\u5e76\u52a0\u7c97\u3002\u53ef\u4ee5\u901a\u8fc7\u8fd9\u4e9b\u8bbe\u7f6e\u4f7f\u5f97\u56fe\u5f62\u66f4\u52a0\u7f8e\u89c2\u548c\u4e2a\u6027\u5316\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"\u8981\u7528Python\u753b\u51fasinc(x)\u51fd\u6570\uff0c\u53ef\u4ee5\u4f7f\u7528matplotlib\u5e93\u7ed8\u5236\u56fe\u5f62\u3001NumPy\u5e93\u751f\u6210\u6570\u636e\u3001\u5b9a\u4e49si 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