{"id":1865,"date":"2023-04-27T21:33:37","date_gmt":"2023-04-27T12:33:37","guid":{"rendered":"https:\/\/edu.ujhb.org\/?p=1865"},"modified":"2023-04-27T21:33:37","modified_gmt":"2023-04-27T12:33:37","slug":"numpy%e5%85%a5%e9%97%a8%ef%bc%88%e4%b8%ad%e6%96%87%e7%89%88%ef%bc%89","status":"publish","type":"post","link":"https:\/\/edu.ujhb.org\/?p=1865","title":{"rendered":"Numpy\u5165\u95e8\uff08\u4e2d\u6587\u7248\uff09"},"content":{"rendered":"\n<p>\u6211\u662f\u8981\u505aIT\u6559\u7a0b\u7684\u89c6\u9891\uff0c\u4f60\u80fd\u5426\u6839\u636e\u7f51\u7ad9\u7684\u5185\u5bb9\uff0c\u4e3a\u6211\u5b89\u6392\u89c6\u9891\u6559\u7a0b\u7684\u6587\u5b57\u5185\u5bb9\u3002\u6211\u4eec\u5148\u4eceNumpy\u6559\u7a0b\u5f00\u59cb\uff0c\u4f60\u5148\u4e3a\u6211\u5217\u51fa\u8981\u8bb2\u89e3\u7684\u5185\u5bb9\u4e00\u89c8\u3002<\/p>\n\n\n\n<p>\u5f53\u7136\u53ef\u4ee5\uff01\u8fd9\u91cc\u662f\u4e00\u4e2a\u521d\u6b65\u7684\u5173\u4e8eNumpy\u6559\u7a0b\u89c6\u9891\u7684\u5185\u5bb9\u63d0\u7eb2\uff0c\u60a8\u53ef\u4ee5\u6839\u636e\u5b9e\u9645\u9700\u8981\u8fdb\u884c\u8c03\u6574\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u4ecb\u7ecd a. Numpy\u7b80\u4ecb b. \u4e3a\u4ec0\u4e48\u4f7f\u7528Numpy c. \u5b89\u88c5\u4e0e\u73af\u5883\u914d\u7f6e<\/li>\n\n\n\n<li>Numpy\u57fa\u7840 a. Numpy\u6570\u7ec4\u7684\u521b\u5efa b. \u6570\u7ec4\u7684\u5c5e\u6027 c. \u6570\u7ec4\u7684\u7d22\u5f15\u4e0e\u5207\u7247 d. \u6570\u7ec4\u7684\u5f62\u72b6\u4e0e\u7ef4\u5ea6\u53d8\u6362<\/li>\n\n\n\n<li>Numpy\u6570\u7ec4\u64cd\u4f5c a. \u6570\u7ec4\u7684\u62fc\u63a5\u4e0e\u5206\u5272 b. \u6570\u7ec4\u7684\u5e7f\u64ad c. \u6570\u7ec4\u7684\u8fed\u4ee3 d. \u6570\u7ec4\u7684\u6392\u5e8f\u3001\u641c\u7d22\u548c\u8ba1\u6570<\/li>\n\n\n\n<li>\u6570\u5b66\u4e0e\u7edf\u8ba1\u51fd\u6570 a. \u57fa\u672c\u6570\u5b66\u64cd\u4f5c b. \u7ebf\u6027\u4ee3\u6570\u64cd\u4f5c c. \u7edf\u8ba1\u51fd\u6570 d. \u968f\u673a\u6570\u751f\u6210<\/li>\n\n\n\n<li>Numpy\u9ad8\u7ea7\u5e94\u7528 a. \u7ed3\u6784\u5316\u6570\u7ec4 b. \u6570\u7ec4\u4e0e\u6587\u4ef6\u7684\u8f93\u5165\u8f93\u51fa c. \u5185\u5b58\u6620\u5c04\u6587\u4ef6 d. \u6570\u7ec4\u7684\u6761\u4ef6\u4e0e\u903b\u8f91\u64cd\u4f5c<\/li>\n\n\n\n<li>Numpy\u5b9e\u6218\u6848\u4f8b a. \u6570\u636e\u5904\u7406\u4e0e\u5206\u6790 b. \u56fe\u50cf\u5904\u7406 c. \u673a\u5668\u5b66\u4e60\u57fa\u7840<\/li>\n\n\n\n<li>\u7ed3\u675f\u8bed a. Numpy\u5b66\u4e60\u8d44\u6e90\u63a8\u8350 b. \u5bf9\u5176\u4ed6\u76f8\u5173\u5e93\uff08\u5982SciPy, Pandas\u7b49\uff09\u7684\u4ecb\u7ecd c. \u9f13\u52b1\u7ec3\u4e60\u4e0e\u63a2\u7d22<\/li>\n<\/ol>\n\n\n\n<p>\u5e0c\u671b\u8fd9\u4e2a\u63d0\u7eb2\u80fd\u5bf9\u60a8\u5236\u4f5cNumpy\u6559\u7a0b\u89c6\u9891\u6709\u6240\u5e2e\u52a9\uff01\u5982\u679c\u9700\u8981\u8fdb\u4e00\u6b65\u7684\u8be6\u7ec6\u5185\u5bb9\uff0c\u8bf7\u968f\u65f6\u544a\u8bc9\u6211\u3002<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u8be6\u7ec6\u89e3\u91caNumpy\u7b80\u4ecb<\/p>\n\n\n\n<p>Numpy\uff08Numerical Python\uff09\u662f\u4e00\u4e2a\u5f00\u6e90\u7684Python\u5e93\uff0c\u4e13\u95e8\u7528\u4e8e\u5904\u7406\u6570\u503c\u8ba1\u7b97\u548c\u79d1\u5b66\u8ba1\u7b97\u4efb\u52a1\u3002\u5b83\u63d0\u4f9b\u4e86\u5f3a\u5927\u7684\u591a\u7ef4\u6570\u7ec4\u5bf9\u8c61\u3001\u5e7f\u64ad\u529f\u80fd\u4ee5\u53ca\u4e00\u7cfb\u5217\u7684\u6570\u5b66\u3001\u7ebf\u6027\u4ee3\u6570\u548c\u7edf\u8ba1\u51fd\u6570\u3002\u8fd9\u4e9b\u529f\u80fd\u4f7f\u5f97Numpy\u6210\u4e3a\u4e86\u5927\u91cf\u6570\u636e\u5904\u7406\u548c\u5206\u6790\u4efb\u52a1\u7684\u57fa\u7840\u5e93\uff0c\u5e7f\u6cdb\u5e94\u7528\u4e8e\u79d1\u5b66\u7814\u7a76\u3001\u5de5\u7a0b\u3001\u91d1\u878d\u548c\u673a\u5668\u5b66\u4e60\u7b49\u9886\u57df\u3002<\/p>\n\n\n\n<p>Numpy\u7684\u6838\u5fc3\u529f\u80fd\u662f\u63d0\u4f9b\u4e86\u4e00\u4e2a\u9ad8\u6027\u80fd\u7684\u591a\u7ef4\u6570\u7ec4\u5bf9\u8c61\uff08ndarray\uff09\uff0c\u8fd9\u79cd\u6570\u7ec4\u5bf9\u8c61\u6bd4Python\u5185\u7f6e\u7684\u5217\u8868\uff08list\uff09\u5177\u6709\u66f4\u597d\u7684\u6027\u80fd\u548c\u66f4\u4e30\u5bcc\u7684\u529f\u80fd\u3002Numpy\u6570\u7ec4\u7684\u4f18\u52bf\u4e3b\u8981\u4f53\u73b0\u5728\u4ee5\u4e0b\u51e0\u4e2a\u65b9\u9762\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u6027\u80fd\uff1aNumpy\u6570\u7ec4\u5e95\u5c42\u4f7f\u7528C\u8bed\u8a00\u5b9e\u73b0\uff0c\u5185\u5b58\u8fde\u7eed\u5b58\u50a8\uff0c\u8ba1\u7b97\u901f\u5ea6\u5feb\uff0c\u5185\u5b58\u5360\u7528\u5c0f\u3002\u4e0e\u7eafPython\u5b9e\u73b0\u76f8\u6bd4\uff0cNumpy\u80fd\u5927\u5e45\u5ea6\u63d0\u9ad8\u8ba1\u7b97\u6027\u80fd\u3002<\/li>\n\n\n\n<li>\u7b80\u6d01\uff1aNumpy\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u6570\u5b66\u51fd\u6570\u548c\u64cd\u4f5c\uff0c\u53ef\u4ee5\u65b9\u4fbf\u5730\u5bf9\u6570\u7ec4\u8fdb\u884c\u52a0\u51cf\u4e58\u9664\u7b49\u8fd0\u7b97\uff0c\u5b9e\u73b0\u77e9\u9635\u4e58\u6cd5\u3001\u6c42\u89e3\u7ebf\u6027\u65b9\u7a0b\u7ec4\u7b49\u590d\u6742\u6570\u5b66\u64cd\u4f5c\u3002<\/li>\n\n\n\n<li>\u7075\u6d3b\uff1aNumpy\u652f\u6301\u6570\u7ec4\u7684\u5e7f\u64ad\uff0c\u53ef\u4ee5\u8f7b\u677e\u5730\u5904\u7406\u4e0d\u540c\u7ef4\u5ea6\u548c\u5f62\u72b6\u7684\u6570\u7ec4\u95f4\u7684\u64cd\u4f5c\u3002\u540c\u65f6\uff0cNumpy\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u7d22\u5f15\u548c\u5207\u7247\u529f\u80fd\uff0c\u53ef\u4ee5\u65b9\u4fbf\u5730\u8bbf\u95ee\u548c\u4fee\u6539\u6570\u7ec4\u5143\u7d20\u3002<\/li>\n\n\n\n<li>\u901a\u7528\uff1aNumpy\u517c\u5bb9\u8bb8\u591a\u5176\u4ed6Python\u5e93\uff0c\u4f8b\u5982SciPy\u3001Pandas\u3001Matplotlib\u7b49\uff0c\u662fPython\u79d1\u5b66\u8ba1\u7b97\u751f\u6001\u7684\u57fa\u77f3\u3002\u6b64\u5916\uff0cNumpy\u7684API\u4e5f\u88ab\u5e7f\u6cdb\u5e94\u7528\u4e8e\u5176\u4ed6\u7f16\u7a0b\u8bed\u8a00\u7684\u6570\u503c\u8ba1\u7b97\u5e93\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u603b\u4e4b\uff0cNumpy\u662f\u4e00\u4e2a\u529f\u80fd\u5f3a\u5927\u3001\u6027\u80fd\u4f18\u8d8a\u7684\u6570\u503c\u8ba1\u7b97\u5e93\uff0c\u975e\u5e38\u9002\u5408\u7528\u4e8e\u5904\u7406\u5927\u91cf\u6570\u636e\u548c\u590d\u6742\u6570\u5b66\u8fd0\u7b97\u3002\u5b66\u4e60\u548c\u638c\u63e1Numpy\u5bf9\u4e8e\u8fdb\u4e00\u6b65\u5b66\u4e60Python\u79d1\u5b66\u8ba1\u7b97\u548c\u6570\u636e\u5206\u6790\u9886\u57df\u5177\u6709\u5f88\u5927\u7684\u5e2e\u52a9\u3002<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u8be6\u7ec6\u89e3\u91ca\u4e3a\u4ec0\u4e48\u4f7f\u7528Numpy<\/p>\n\n\n\n<p>\u4f7f\u7528Numpy\u7684\u539f\u56e0\u4e3b\u8981\u53ef\u4ee5\u4ece\u4ee5\u4e0b\u51e0\u4e2a\u65b9\u9762\u6765\u9610\u8ff0\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u9ad8\u6027\u80fd\uff1aNumpy\u7684\u5e95\u5c42\u4ee3\u7801\u662f\u7528C\u8bed\u8a00\u7f16\u5199\u7684\uff0c\u56e0\u6b64\u5b83\u7684\u8ba1\u7b97\u901f\u5ea6\u6bd4\u7eafPython\u4ee3\u7801\u8981\u5feb\u5f97\u591a\u3002\u5728\u5904\u7406\u5927\u91cf\u6570\u636e\u548c\u8fdb\u884c\u590d\u6742\u6570\u5b66\u8fd0\u7b97\u65f6\uff0cNumpy\u80fd\u591f\u663e\u8457\u63d0\u9ad8\u7a0b\u5e8f\u7684\u8fd0\u884c\u901f\u5ea6\u3002<\/li>\n\n\n\n<li>\u6613\u7528\u6027\uff1aNumpy\u63d0\u4f9b\u4e86\u8bb8\u591a\u6613\u4e8e\u4f7f\u7528\u7684\u51fd\u6570\u548c\u65b9\u6cd5\uff0c\u4f7f\u5f97\u8fdb\u884c\u6570\u503c\u8ba1\u7b97\u548c\u6570\u636e\u5904\u7406\u53d8\u5f97\u975e\u5e38\u7b80\u5355\u3002\u901a\u8fc7\u4f7f\u7528Numpy\u7684\u6570\u7ec4\u548c\u77e9\u9635\u64cd\u4f5c\uff0c\u53ef\u4ee5\u7528\u7b80\u6d01\u7684\u4ee3\u7801\u5b9e\u73b0\u590d\u6742\u6570\u5b66\u8fd0\u7b97\uff0c\u800c\u4e0d\u9700\u8981\u7f16\u5199\u5927\u91cf\u7684\u5faa\u73af\u548c\u6761\u4ef6\u8bed\u53e5\u3002<\/li>\n\n\n\n<li>\u5f3a\u5927\u7684\u529f\u80fd\uff1aNumpy\u652f\u6301\u591a\u7ef4\u6570\u7ec4\uff08ndarray\uff09\u548c\u77e9\u9635\u8fd0\u7b97\uff0c\u63d0\u4f9b\u4e86\u5e7f\u64ad\u529f\u80fd\u4ee5\u53ca\u4e30\u5bcc\u7684\u6570\u5b66\u3001\u7edf\u8ba1\u548c\u7ebf\u6027\u4ee3\u6570\u51fd\u6570\u3002\u8fd9\u4e9b\u529f\u80fd\u4f7f\u5f97Numpy\u975e\u5e38\u9002\u5408\u8fdb\u884c\u79d1\u5b66\u8ba1\u7b97\u3001\u6570\u636e\u5904\u7406\u548c\u673a\u5668\u5b66\u4e60\u7b49\u4efb\u52a1\u3002<\/li>\n\n\n\n<li>\u7075\u6d3b\u7684\u6570\u636e\u64cd\u4f5c\uff1aNumpy\u63d0\u4f9b\u4e86\u4e30\u5bcc\u7684\u7d22\u5f15\u548c\u5207\u7247\u529f\u80fd\uff0c\u5141\u8bb8\u7528\u6237\u8f7b\u677e\u5730\u8bbf\u95ee\u548c\u4fee\u6539\u6570\u7ec4\u7684\u5143\u7d20\u3002\u6b64\u5916\uff0cNumpy\u8fd8\u652f\u6301\u6570\u7ec4\u7684\u5f62\u72b6\u53d8\u6362\u3001\u62fc\u63a5\u3001\u5206\u5272\u7b49\u64cd\u4f5c\uff0c\u4e3a\u6570\u636e\u5904\u7406\u63d0\u4f9b\u4e86\u5f88\u5927\u7684\u7075\u6d3b\u6027\u3002<\/li>\n\n\n\n<li>\u5e7f\u6cdb\u7684\u517c\u5bb9\u6027\uff1aNumpy\u4e0e\u8bb8\u591a\u5176\u4ed6Python\u5e93\uff08\u5982SciPy\u3001Pandas\u3001Matplotlib\u7b49\uff09\u517c\u5bb9\u826f\u597d\uff0c\u662fPython\u79d1\u5b66\u8ba1\u7b97\u751f\u6001\u7684\u57fa\u77f3\u3002\u8bb8\u591a\u6570\u636e\u5206\u6790\u548c\u673a\u5668\u5b66\u4e60\u5e93\u90fd\u4f9d\u8d56\u4e8eNumpy\u7684\u529f\u80fd\uff0c\u56e0\u6b64\u5b66\u4e60Numpy\u5bf9\u4e8e\u8fdb\u4e00\u6b65\u638c\u63e1Python\u6570\u636e\u79d1\u5b66\u9886\u57df\u5177\u6709\u91cd\u8981\u610f\u4e49\u3002<\/li>\n\n\n\n<li>\u6d3b\u8dc3\u7684\u793e\u533a\uff1aNumpy\u62e5\u6709\u5e9e\u5927\u4e14\u6d3b\u8dc3\u7684\u793e\u533a\uff0c\u8fd9\u610f\u5473\u7740\u60a8\u53ef\u4ee5\u627e\u5230\u5927\u91cf\u7684\u6559\u7a0b\u3001\u793a\u4f8b\u548c\u89e3\u51b3\u65b9\u6848\u3002\u6b64\u5916\uff0cNumpy\u4f5c\u4e3a\u4e00\u4e2a\u5f00\u6e90\u9879\u76ee\uff0c\u6301\u7eed\u5f97\u5230\u793e\u533a\u7684\u7ef4\u62a4\u548c\u66f4\u65b0\uff0c\u4ee5\u6ee1\u8db3\u4e0d\u65ad\u53d1\u5c55\u7684\u6570\u503c\u8ba1\u7b97\u9700\u6c42\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u7efc\u4e0a\u6240\u8ff0\uff0cNumpy\u4ee5\u5176\u9ad8\u6027\u80fd\u3001\u6613\u7528\u6027\u3001\u5f3a\u5927\u7684\u529f\u80fd\u548c\u5e7f\u6cdb\u7684\u517c\u5bb9\u6027\u6210\u4e3a\u4e86Python\u6570\u503c\u8ba1\u7b97\u548c\u6570\u636e\u5904\u7406\u7684\u9996\u9009\u5e93\u3002\u638c\u63e1Numpy\u5bf9\u4e8e\u5b66\u4e60\u548c\u5e94\u7528Python\u79d1\u5b66\u8ba1\u7b97\u548c\u6570\u636e\u5206\u6790\u9886\u57df\u5177\u6709\u5173\u952e\u6027\u7684\u4f5c\u7528\u3002<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u8be6\u7ec6\u89e3\u91ca\u5b89\u88c5\u4e0e\u73af\u5883\u914d\u7f6e<\/p>\n\n\n\n<p>\u5728\u5f00\u59cb\u4f7f\u7528Numpy\u4e4b\u524d\uff0c\u6211\u4eec\u9700\u8981\u5148\u5b89\u88c5Numpy\u5e93\u5e76\u914d\u7f6e\u76f8\u5e94\u7684Python\u73af\u5883\u3002\u4ee5\u4e0b\u662f\u8be6\u7ec6\u7684\u5b89\u88c5\u548c\u73af\u5883\u914d\u7f6e\u6b65\u9aa4\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u5b89\u88c5Python\uff1a\u9996\u5148\uff0c\u786e\u4fdd\u60a8\u7684\u8ba1\u7b97\u673a\u4e0a\u5df2\u7ecf\u5b89\u88c5\u4e86Python\u3002\u5982\u679c\u5c1a\u672a\u5b89\u88c5\uff0c\u8bf7\u8bbf\u95eePython\u5b98\u65b9\u7f51\u7ad9\uff08<a href=\"https:\/\/www.python.org\/%EF%BC%89%E4%B8%8B%E8%BD%BD%E5%B9%B6%E5%AE%89%E8%A3%85%E5%90%88%E9%80%82%E7%9A%84Python%E7%89%88%E6%9C%AC%E3%80%82%E5%AF%B9%E4%BA%8E%E5%A4%A7%E5%A4%9A%E6%95%B0%E7%94%A8%E6%88%B7%EF%BC%8C%E5%AE%89%E8%A3%85Python\">https:\/\/www.python.org\/\uff09\u4e0b\u8f7d\u5e76\u5b89\u88c5\u5408\u9002\u7684Python\u7248\u672c\u3002\u5bf9\u4e8e\u5927\u591a\u6570\u7528\u6237\uff0c\u5b89\u88c5Python<\/a> 3.x\u7248\u672c\u662f\u4e00\u4e2a\u4e0d\u9519\u7684\u9009\u62e9\u3002<\/li>\n\n\n\n<li>\u914d\u7f6ePython\u73af\u5883\uff1a\u5f3a\u70c8\u5efa\u8bae\u4f7f\u7528\u865a\u62df\u73af\u5883\uff08virtual environment\uff09\u6765\u914d\u7f6ePython\u9879\u76ee\uff0c\u8fd9\u53ef\u4ee5\u907f\u514d\u4e0d\u540c\u9879\u76ee\u4e4b\u95f4\u7684\u4f9d\u8d56\u5e93\u7248\u672c\u51b2\u7a81\u3002\u4ee5\u4e0b\u662f\u521b\u5efa\u865a\u62df\u73af\u5883\u7684\u6b65\u9aa4\uff1aa. \u6253\u5f00\u7ec8\u7aef\uff08Terminal\uff09\u6216\u547d\u4ee4\u63d0\u793a\u7b26\uff08Command Prompt\uff09\u3002 b. \u4f7f\u7528\u4ee5\u4e0b\u547d\u4ee4\u521b\u5efa\u4e00\u4e2a\u65b0\u7684\u865a\u62df\u73af\u5883\uff1aCopy code<code>python3 -m venv my_numpy_env <\/code>\u8fd9\u91cc\uff0c<code>my_numpy_env<\/code>\u662f\u865a\u62df\u73af\u5883\u7684\u540d\u79f0\uff0c\u60a8\u53ef\u4ee5\u6839\u636e\u81ea\u5df1\u7684\u9700\u6c42\u81ea\u884c\u66f4\u6539\u3002c. \u6fc0\u6d3b\u865a\u62df\u73af\u5883\u3002\u5728Windows\u4e0a\uff0c\u8fd0\u884c\u4ee5\u4e0b\u547d\u4ee4\uff1aCopy code<code>my_numpy_env\\Scripts\\activate <\/code>\u5728macOS\u6216Linux\u4e0a\uff0c\u8fd0\u884c\u4ee5\u4e0b\u547d\u4ee4\uff1abashCopy code<code>source my_numpy_env\/bin\/activate <\/code>\u6210\u529f\u6fc0\u6d3b\u865a\u62df\u73af\u5883\u540e\uff0c\u7ec8\u7aef\u6216\u547d\u4ee4\u63d0\u793a\u7b26\u4e2d\u4f1a\u663e\u793a\u865a\u62df\u73af\u5883\u7684\u540d\u79f0\u3002<\/li>\n\n\n\n<li>\u5b89\u88c5Numpy\uff1a\u5728\u6fc0\u6d3b\u7684\u865a\u62df\u73af\u5883\u4e2d\uff0c\u4f7f\u7528\u4ee5\u4e0b\u547d\u4ee4\u5b89\u88c5Numpy\uff1aCopy code<code>pip install numpy <\/code>\u7b49\u5f85\u5b89\u88c5\u5b8c\u6210\uff0cNumpy\u5e93\u5c31\u5df2\u7ecf\u6210\u529f\u5b89\u88c5\u5728\u865a\u62df\u73af\u5883\u4e2d\u3002<\/li>\n\n\n\n<li>\u9a8c\u8bc1\u5b89\u88c5\uff1a\u6253\u5f00Python\u4ea4\u4e92\u5f0f\u89e3\u91ca\u5668\uff0c\u8f93\u5165\u4ee5\u4e0b\u547d\u4ee4\uff1apythonCopy code<code>import numpy as np print(np.__version__) <\/code>\u5982\u679c\u80fd\u591f\u770b\u5230Numpy\u7684\u7248\u672c\u53f7\uff0c\u8bf4\u660eNumpy\u5df2\u7ecf\u6210\u529f\u5b89\u88c5\u5e76\u53ef\u4ee5\u4f7f\u7528\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u73b0\u5728\uff0c\u60a8\u5df2\u7ecf\u5b8c\u6210\u4e86Numpy\u7684\u5b89\u88c5\u548c\u73af\u5883\u914d\u7f6e\uff0c\u53ef\u4ee5\u5f00\u59cb\u4f7f\u7528Numpy\u5e93\u8fdb\u884c\u6570\u503c\u8ba1\u7b97\u548c\u6570\u636e\u5904\u7406\u4efb\u52a1\u3002\u5728\u5b9e\u9645\u9879\u76ee\u4e2d\uff0c\u60a8\u53ef\u80fd\u8fd8\u9700\u8981\u5b89\u88c5\u548c\u914d\u7f6e\u5176\u4ed6Python\u5e93\uff0c\u4f8b\u5982SciPy\u3001Pandas\u548cMatplotlib\u7b49\u3002\u5b89\u88c5\u8fd9\u4e9b\u5e93\u7684\u8fc7\u7a0b\u4e0e\u5b89\u88c5Numpy\u7c7b\u4f3c\uff0c\u53ea\u9700\u4f7f\u7528<code>pip install<\/code>\u547d\u4ee4\u5373\u53ef\u3002<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u8be6\u7ec6\u89e3\u91caNumpy\u6570\u7ec4\u7684\u521b\u5efa<\/p>\n\n\n\n<p>Numpy\u63d0\u4f9b\u4e86\u591a\u79cd\u65b9\u6cd5\u6765\u521b\u5efa\u6570\u7ec4\u3002\u4ee5\u4e0b\u662f\u4e00\u4e9b\u5e38\u7528\u7684\u521b\u5efaNumpy\u6570\u7ec4\u7684\u65b9\u6cd5\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u4ecePython\u5217\u8868\u6216\u5143\u7ec4\u521b\u5efa\uff1a\u4f7f\u7528<code>numpy.array()<\/code>\u51fd\u6570\uff0c\u53ef\u4ee5\u5c06Python\u7684\u5217\u8868\uff08list\uff09\u6216\u5143\u7ec4\uff08tuple\uff09\u8f6c\u6362\u4e3aNumpy\u6570\u7ec4\u3002\u4f8b\u5982\uff1apythonCopy code<code>import numpy as np # \u4ece\u5217\u8868\u521b\u5efa\u4e00\u7ef4\u6570\u7ec4 arr1 = np.array([1, 2, 3, 4]) print(arr1) # \u4ece\u5d4c\u5957\u5217\u8868\u521b\u5efa\u4e8c\u7ef4\u6570\u7ec4 arr2 = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) print(arr2)<\/code><\/li>\n\n\n\n<li>\u4f7f\u7528\u5185\u7f6e\u51fd\u6570\u521b\u5efa\uff1aNumpy\u63d0\u4f9b\u4e86\u4e00\u4e9b\u5185\u7f6e\u51fd\u6570\u6765\u521b\u5efa\u5177\u6709\u7279\u5b9a\u5f62\u72b6\u548c\u503c\u7684\u6570\u7ec4\u3002\u4f8b\u5982\uff1a<ul><li>\u5168\u96f6\u6570\u7ec4\uff1a<code>numpy.zeros(shape)<\/code><\/li><li>\u5168\u4e00\u6570\u7ec4\uff1a<code>numpy.ones(shape)<\/code><\/li><li>\u5355\u4f4d\u77e9\u9635\uff1a<code>numpy.eye(N)<\/code><\/li><li>\u672a\u521d\u59cb\u5316\u7684\u6570\u7ec4\uff1a<code>numpy.empty(shape)<\/code><\/li><\/ul>\u5176\u4e2d\uff0c<code>shape<\/code>\u662f\u4e00\u4e2a\u8868\u793a\u6570\u7ec4\u5f62\u72b6\u7684\u6574\u6570\u5143\u7ec4\uff0c\u4f8b\u5982<code>(3, 3)<\/code>\u8868\u793a\u4e00\u4e2a3&#215;3\u7684\u77e9\u9635\u3002<code>N<\/code>\u8868\u793a\u5355\u4f4d\u77e9\u9635\u7684\u5927\u5c0f\u3002pythonCopy code<code>import numpy as np zeros_array = np.zeros((2, 3)) print(zeros_array) ones_array = np.ones((3, 3)) print(ones_array) eye_array = np.eye(3) print(eye_array) empty_array = np.empty((2, 2)) print(empty_array)<\/code><\/li>\n\n\n\n<li>\u4f7f\u7528\u6570\u503c\u8303\u56f4\u521b\u5efa\uff1aNumpy\u63d0\u4f9b\u4e86\u4ee5\u4e0b\u51fd\u6570\uff0c\u53ef\u4ee5\u6839\u636e\u7ed9\u5b9a\u7684\u6570\u503c\u8303\u56f4\u521b\u5efa\u7b49\u95f4\u8ddd\u7684\u6570\u7ec4\uff1a<ul><li><code>numpy.arange(start, stop, step)<\/code>\uff1a\u4ece<code>start<\/code>\u5f00\u59cb\uff08\u5305\u542b\uff09\uff0c\u5230<code>stop<\/code>\u7ed3\u675f\uff08\u4e0d\u5305\u542b\uff09\uff0c\u4ee5<code>step<\/code>\u4e3a\u95f4\u9694\u7684\u7b49\u95f4\u8ddd\u6570\u7ec4\u3002<\/li><li><code>numpy.linspace(start, stop, num)<\/code>\uff1a\u5728<code>start<\/code>\u548c<code>stop<\/code>\u4e4b\u95f4\uff08\u5305\u542b\uff09\uff0c\u521b\u5efa<code>num<\/code>\u4e2a\u7b49\u95f4\u8ddd\u7684\u6570\u7ec4\u5143\u7d20\u3002<\/li><\/ul>pythonCopy code<code>import numpy as np arange_array = np.arange(0, 10, 2) print(arange_array) linspace_array = np.linspace(0, 1, 5) print(linspace_array)<\/code><\/li>\n\n\n\n<li>\u521b\u5efa\u968f\u673a\u6570\u7ec4\uff1aNumpy\u7684<code>random<\/code>\u6a21\u5757\u63d0\u4f9b\u4e86\u521b\u5efa\u968f\u673a\u6570\u7ec4\u7684\u529f\u80fd\u3002\u4f8b\u5982\uff1a<ul><li>\u5747\u5300\u5206\u5e03\u7684\u968f\u673a\u6570\u7ec4\uff1a<code>numpy.random.rand(shape)<\/code>\u3001<code>numpy.random.uniform(low, high, size)<\/code><\/li><li>\u6b63\u6001\u5206\u5e03\u7684\u968f\u673a\u6570\u7ec4\uff1a<code>numpy.random.randn(shape)<\/code>\u3001<code>numpy.random.normal(loc, scale, size)<\/code><\/li><\/ul>\u5176\u4e2d\uff0c<code>shape<\/code>\u8868\u793a\u6570\u7ec4\u7684\u5f62\u72b6\uff0c<code>low<\/code>\u548c<code>high<\/code>\u8868\u793a\u968f\u673a\u6570\u7684\u4e0a\u4e0b\u754c\uff0c<code>size<\/code>\u8868\u793a\u6570\u7ec4\u5927\u5c0f\uff0c<code>loc<\/code>\u8868\u793a\u6b63\u6001\u5206\u5e03\u7684\u5747\u503c\uff0c<code>scale<\/code>\u8868\u793a\u6b63\u6001\u5206\u5e03\u7684\u6807\u51c6\u5dee\u3002pythonCopy code<code>import numpy as np rand_array = np.random.rand(2, 3) print(rand_array) uniform<\/code><\/li>\n<\/ol>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u7ee7\u7eed<\/p>\n\n\n\n<p>\u968f\u673a\u6570\u7ec4\uff08\u7eed\uff09\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">pythonCopy code<code>import numpy as np\n\nuniform_array = np.random.uniform(-1, 1, (2, 3))\nprint(uniform_array)\n\nrandn_array = np.random.randn(2, 3)\nprint(randn_array)\n\nnormal_array = np.random.normal(0, 1, (2, 3))\nprint(normal_array)\n<\/code><\/pre>\n\n\n\n<p>\u4ee5\u4e0a\u662fNumpy\u521b\u5efa\u6570\u7ec4\u7684\u4e00\u4e9b\u5e38\u7528\u65b9\u6cd5\u3002\u6839\u636e\u5b9e\u9645\u9700\u6c42\uff0c\u60a8\u53ef\u4ee5\u9009\u62e9\u5408\u9002\u7684\u65b9\u6cd5\u521b\u5efa\u6240\u9700\u7684\u6570\u7ec4\u3002\u5728\u521b\u5efa\u6570\u7ec4\u65f6\uff0c\u53ef\u4ee5\u901a\u8fc7<code>dtype<\/code>\u53c2\u6570\u6765\u6307\u5b9a\u6570\u7ec4\u5143\u7d20\u7684\u6570\u636e\u7c7b\u578b\uff0c\u4f8b\u5982<code>int32<\/code>\u3001<code>float64<\/code>\u7b49\u3002\u5982\u679c\u4e0d\u6307\u5b9a<code>dtype<\/code>\uff0cNumpy\u4f1a\u81ea\u52a8\u6839\u636e\u8f93\u5165\u6570\u636e\u9009\u62e9\u5408\u9002\u7684\u6570\u636e\u7c7b\u578b\u3002<\/p>\n\n\n\n<p>\u4f8b\u5982\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">pythonCopy code<code>import numpy as np\n\narr_int = np.array([1, 2, 3, 4], dtype=np.int32)\nprint(arr_int)\n\narr_float = np.array([1.1, 2.2, 3.3], dtype=np.float64)\nprint(arr_float)\n<\/code><\/pre>\n\n\n\n<p>\u4e86\u89e3\u4e86\u8fd9\u4e9b\u521b\u5efaNumpy\u6570\u7ec4\u7684\u65b9\u6cd5\u540e\uff0c\u60a8\u53ef\u4ee5\u7075\u6d3b\u5730\u6839\u636e\u5b9e\u9645\u9700\u6c42\u521b\u5efa\u4e0d\u540c\u5f62\u72b6\u3001\u6570\u636e\u7c7b\u578b\u548c\u521d\u59cb\u503c\u7684\u6570\u7ec4\u3002<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u8be6\u7ec6\u89e3\u91ca\u6570\u7ec4\u7684\u5c5e\u6027<\/p>\n\n\n\n<p>Numpy\u6570\u7ec4\uff08ndarray\uff09\u5177\u6709\u4e00\u4e9b\u5c5e\u6027\uff0c\u53ef\u4ee5\u7528\u6765\u63cf\u8ff0\u6570\u7ec4\u7684\u5f62\u72b6\u3001\u5927\u5c0f\u3001\u6570\u636e\u7c7b\u578b\u7b49\u7279\u5f81\u3002\u4ee5\u4e0b\u662f\u4e00\u4e9b\u5e38\u7528\u7684\u6570\u7ec4\u5c5e\u6027\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><code>ndim<\/code>\uff1a\u8868\u793a\u6570\u7ec4\u7684\u7ef4\u5ea6\uff08\u8f74\uff09\u6570\u91cf\u3002\u4f8b\u5982\uff0c\u4e00\u7ef4\u6570\u7ec4\u7684<code>ndim<\/code>\u4e3a1\uff0c\u4e8c\u7ef4\u6570\u7ec4\u7684<code>ndim<\/code>\u4e3a2\u3002pythonCopy code<code>import numpy as np arr1 = np.array([1, 2, 3, 4]) print(arr1.ndim) # \u8f93\u51fa\uff1a1 arr2 = np.array([[1, 2, 3], [4, 5, 6]]) print(arr2.ndim) # \u8f93\u51fa\uff1a2<\/code><\/li>\n\n\n\n<li><code>shape<\/code>\uff1a\u8868\u793a\u6570\u7ec4\u7684\u5f62\u72b6\uff0c\u4ee5\u5143\u7ec4\u5f62\u5f0f\u8fd4\u56de\u6bcf\u4e2a\u8f74\u7684\u5927\u5c0f\u3002\u4f8b\u5982\uff0c\u4e00\u4e2a3&#215;4\u7684\u4e8c\u7ef4\u6570\u7ec4\u7684<code>shape<\/code>\u4e3a(3, 4)\u3002pythonCopy code<code>import numpy as np arr1 = np.array([1, 2, 3, 4]) print(arr1.shape) # \u8f93\u51fa\uff1a(4,) arr2 = np.array([[1, 2, 3], [4, 5, 6]]) print(arr2.shape) # \u8f93\u51fa\uff1a(2, 3)<\/code><\/li>\n\n\n\n<li><code>size<\/code>\uff1a\u8868\u793a\u6570\u7ec4\u4e2d\u5143\u7d20\u7684\u603b\u6570\u3002\u7b49\u4e8e<code>shape<\/code>\u5143\u7ec4\u4e2d\u6240\u6709\u5143\u7d20\u7684\u4e58\u79ef\u3002pythonCopy code<code>import numpy as np arr1 = np.array([1, 2, 3, 4]) print(arr1.size) # \u8f93\u51fa\uff1a4 arr2 = np.array([[1, 2, 3], [4, 5, 6]]) print(arr2.size) # \u8f93\u51fa\uff1a6<\/code><\/li>\n\n\n\n<li><code>dtype<\/code>\uff1a\u8868\u793a\u6570\u7ec4\u5143\u7d20\u7684\u6570\u636e\u7c7b\u578b\u3002Numpy\u652f\u6301\u591a\u79cd\u6570\u636e\u7c7b\u578b\uff0c\u5982<code>int8<\/code>\u3001<code>int32<\/code>\u3001<code>float64<\/code>\u7b49\u3002pythonCopy code<code>import numpy as np arr1 = np.array([1, 2, 3, 4], dtype=np.int32) print(arr1.dtype) # \u8f93\u51fa\uff1aint32 arr2 = np.array([1.1, 2.2, 3.3], dtype=np.float64) print(arr2.dtype) # \u8f93\u51fa\uff1afloat64<\/code><\/li>\n\n\n\n<li><code>itemsize<\/code>\uff1a\u8868\u793a\u6570\u7ec4\u4e2d\u6bcf\u4e2a\u5143\u7d20\u7684\u5b57\u8282\u6570\u3002\u4f8b\u5982\uff0c<code>int32<\/code>\u7c7b\u578b\u7684\u6570\u7ec4\u5143\u7d20\u5360\u75284\u4e2a\u5b57\u8282\uff0c<code>float64<\/code>\u7c7b\u578b\u7684\u6570\u7ec4\u5143\u7d20\u5360\u75288\u4e2a\u5b57\u8282\u3002pythonCopy code<code>import numpy as np arr1 = np.array([1, 2, 3, 4], dtype=np.int32) print(arr1.itemsize) # \u8f93\u51fa\uff1a4 arr2 = np.array([1.1, 2.2, 3.3], dtype=np.float64) print(arr2.itemsize) # \u8f93\u51fa\uff1a8<\/code><\/li>\n\n\n\n<li><code>nbytes<\/code>\uff1a\u8868\u793a\u6570\u7ec4\u7684\u603b\u5b57\u8282\u6570\uff0c\u7b49\u4e8e<code>itemsize<\/code>\u4e58\u4ee5<code>size<\/code>\u3002pythonCopy code<code>import numpy as np arr1 = np.array([1, 2, 3, 4], dtype=np.int32) print(arr1.nbytes) # \u8f93\u51fa\uff1a16 arr2 = np.array([1.1,<\/code><\/li>\n<\/ol>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u7ee7\u7eed<\/p>\n\n\n\n<p>2.2, 3.3], dtype=np.float64) print(arr2.nbytes) # \u8f93\u51fa\uff1a24<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">goCopy code<code>\n\u4e86\u89e3\u8fd9\u4e9b\u6570\u7ec4\u5c5e\u6027\u540e\uff0c\u60a8\u53ef\u4ee5\u66f4\u597d\u5730\u4e86\u89e3Numpy\u6570\u7ec4\u7684\u7279\u5f81\uff0c\u5e76\u636e\u6b64\u5bf9\u6570\u7ec4\u8fdb\u884c\u64cd\u4f5c\u548c\u5904\u7406\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u6211\u4eec\u901a\u5e38\u9700\u8981\u6839\u636e\u6570\u7ec4\u7684`shape`\u3001`dtype`\u7b49\u5c5e\u6027\u6765\u9009\u62e9\u5408\u9002\u7684\u7b97\u6cd5\u548c\u64cd\u4f5c\u3002\n\n\u4f8b\u5982\uff0c\u5f53\u5904\u7406\u56fe\u50cf\u6570\u636e\u65f6\uff0c\u6211\u4eec\u9700\u8981\u6839\u636e\u56fe\u50cf\u7684\u5f62\u72b6\uff08\u5bbd\u5ea6\u3001\u9ad8\u5ea6\u548c\u901a\u9053\u6570\uff09\u6765\u786e\u5b9a\u5982\u4f55\u5904\u7406\u548c\u663e\u793a\u56fe\u50cf\u3002\u53c8\u5982\uff0c\u5728\u6570\u503c\u8ba1\u7b97\u4e2d\uff0c\u6211\u4eec\u9700\u8981\u6839\u636e\u6570\u7ec4\u5143\u7d20\u7684\u6570\u636e\u7c7b\u578b\u6765\u9009\u62e9\u5408\u9002\u7684\u8ba1\u7b97\u65b9\u6cd5\uff0c\u4ee5\u9632\u6b62\u6570\u636e\u6ea2\u51fa\u6216\u7cbe\u5ea6\u635f\u5931\u7b49\u95ee\u9898\u3002\n\n\u638c\u63e1\u4e86\u8fd9\u4e9b\u57fa\u672c\u6982\u5ff5\u540e\uff0c\u60a8\u5c06\u80fd\u66f4\u6709\u6548\u5730\u5229\u7528Numpy\u8fdb\u884c\u6570\u7ec4\u64cd\u4f5c\u548c\u6570\u503c\u8ba1\u7b97\u3002\n<\/code><\/pre>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u8be6\u7ec6\u89e3\u91ca\u6570\u7ec4\u7684\u7d22\u5f15\u4e0e\u5207\u7247<\/p>\n\n\n\n<p>\u5728Numpy\u4e2d\uff0c\u53ef\u4ee5\u4f7f\u7528\u7d22\u5f15\u548c\u5207\u7247\u6765\u8bbf\u95ee\u548c\u4fee\u6539\u6570\u7ec4\u4e2d\u7684\u5143\u7d20\u3002\u6570\u7ec4\u7d22\u5f15\u548c\u5207\u7247\u7684\u6982\u5ff5\u4e0ePython\u7684\u5217\u8868\u7d22\u5f15\u548c\u5207\u7247\u7c7b\u4f3c\uff0c\u4f46\u5728\u591a\u7ef4\u6570\u7ec4\u4e2d\u66f4\u4e3a\u5f3a\u5927\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u6570\u7ec4\u7d22\u5f15\uff1a\u4f7f\u7528\u6574\u6570\u7d22\u5f15\u8bbf\u95ee\u6570\u7ec4\u4e2d\u7684\u5143\u7d20\u3002\u5bf9\u4e8e\u4e00\u7ef4\u6570\u7ec4\uff0c\u53ea\u9700\u8981\u4e00\u4e2a\u6574\u6570\u7d22\u5f15\uff1b\u5bf9\u4e8e\u591a\u7ef4\u6570\u7ec4\uff0c\u9700\u8981\u4e3a\u6bcf\u4e2a\u8f74\u63d0\u4f9b\u4e00\u4e2a\u6574\u6570\u7d22\u5f15\uff0c\u7528\u9017\u53f7\u5206\u9694\u3002pythonCopy code<code>import numpy as np arr1 = np.array([1, 2, 3, 4]) print(arr1[0]) # \u8f93\u51fa\uff1a1 print(arr1[2]) # \u8f93\u51fa\uff1a3 arr2 = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) print(arr2[0, 1]) # \u8f93\u51fa\uff1a2 print(arr2[2, 2]) # \u8f93\u51fa\uff1a9 <\/code>\u53ef\u4ee5\u4f7f\u7528\u8d1f\u6570\u7d22\u5f15\u8bbf\u95ee\u6570\u7ec4\u7684\u672b\u5c3e\u5143\u7d20\u3002\u4f8b\u5982\uff0c<code>-1<\/code>\u8868\u793a\u6700\u540e\u4e00\u4e2a\u5143\u7d20\uff0c<code>-2<\/code>\u8868\u793a\u5012\u6570\u7b2c\u4e8c\u4e2a\u5143\u7d20\u3002pythonCopy code<code>import numpy as np arr1 = np.array([1, 2, 3, 4]) print(arr1[-1]) # \u8f93\u51fa\uff1a4 print(arr1[-2]) # \u8f93\u51fa\uff1a3<\/code><\/li>\n\n\n\n<li>\u6570\u7ec4\u5207\u7247\uff1a\u4f7f\u7528\u5207\u7247\u8bbf\u95ee\u6570\u7ec4\u4e2d\u7684\u4e00\u6bb5\u8fde\u7eed\u5143\u7d20\u3002\u5207\u7247\u7684\u8bed\u6cd5\u4e3a<code>start:stop:step<\/code>\uff0c\u5176\u4e2d<code>start<\/code>\u8868\u793a\u5207\u7247\u7684\u8d77\u59cb\u7d22\u5f15\uff08\u5305\u542b\uff09\uff0c<code>stop<\/code>\u8868\u793a\u5207\u7247\u7684\u7ed3\u675f\u7d22\u5f15\uff08\u4e0d\u5305\u542b\uff09\uff0c<code>step<\/code>\u8868\u793a\u5207\u7247\u7684\u6b65\u957f\u3002\u5982\u679c\u7701\u7565<code>start<\/code>\uff0c\u9ed8\u8ba4\u4e3a0\uff1b\u5982\u679c\u7701\u7565<code>stop<\/code>\uff0c\u9ed8\u8ba4\u4e3a\u6570\u7ec4\u957f\u5ea6\uff1b\u5982\u679c\u7701\u7565<code>step<\/code>\uff0c\u9ed8\u8ba4\u4e3a1\u3002\u5bf9\u4e8e\u4e00\u7ef4\u6570\u7ec4\uff0c\u5207\u7247\u64cd\u4f5c\u7c7b\u4f3c\u4e8ePython\u5217\u8868\uff1apythonCopy code<code>import numpy as np arr1 = np.array([1, 2, 3, 4, 5]) print(arr1[1:4]) # \u8f93\u51fa\uff1a[2 3 4] print(arr1[:3]) # \u8f93\u51fa\uff1a[1 2 3] print(arr1[2:]) # \u8f93\u51fa\uff1a[3 4 5] print(arr1[::2]) # \u8f93\u51fa\uff1a[1 3 5] <\/code>\u5bf9\u4e8e\u591a\u7ef4\u6570\u7ec4\uff0c\u53ef\u4ee5\u4e3a\u6bcf\u4e2a\u8f74\u63d0\u4f9b\u4e00\u4e2a\u5207\u7247\uff0c\u7528\u9017\u53f7\u5206\u9694\u3002\u4f8b\u5982\uff0c\u5bf9\u4e8e\u4e8c\u7ef4\u6570\u7ec4\uff1apythonCopy code<code>import numpy as np arr2 = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) print(arr2[0:2, 1:3]) # \u8f93\u51fa\uff1a[[2 3] # [5 6]] print(arr2[:, 1]) # \u8f93\u51fa\uff1a[2 5 8] print(arr2[1, :]) # \u8f93\u51fa\uff1a[4 5 6]<\/code><\/li>\n<\/ol>\n\n\n\n<p>\u9700\u8981\u6ce8\u610f\u7684\u662f<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u7ee7\u7eed<\/p>\n\n\n\n<p>\uff0cNumpy\u6570\u7ec4\u7684\u5207\u7247\u64cd\u4f5c\u8fd4\u56de\u7684\u662f\u539f\u6570\u7ec4\u7684\u89c6\u56fe\uff0c\u800c\u4e0d\u662f\u521b\u5efa\u65b0\u7684\u6570\u7ec4\u3002\u8fd9\u610f\u5473\u7740\uff0c\u4fee\u6539\u5207\u7247\u4e2d\u7684\u5143\u7d20\u5c06\u5f71\u54cd\u539f\u6570\u7ec4\u3002\u8fd9\u79cd\u8bbe\u8ba1\u53ef\u4ee5\u63d0\u9ad8\u5185\u5b58\u4f7f\u7528\u6548\u7387\uff0c\u4f46\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\u53ef\u80fd\u4f1a\u5bfc\u81f4\u610f\u5916\u7684\u526f\u4f5c\u7528\u3002\u5982\u679c\u9700\u8981\u521b\u5efa\u5207\u7247\u7684\u526f\u672c\uff0c\u53ef\u4ee5\u4f7f\u7528<code>copy()<\/code>\u65b9\u6cd5\u3002<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">pythonCopy code<code>import numpy as np\n\narr1 = np.array([1, 2, 3, 4, 5])\nslice1 = arr1[1:4]\nslice2 = arr1[1:4].copy()\n\n# \u4fee\u6539\u5207\u7247\u4e2d\u7684\u5143\u7d20\nslice1[0] = 99\nslice2[1] = 88\n\nprint(arr1)        # \u8f93\u51fa\uff1a[ 1 99  3  4  5]\uff0c\u539f\u6570\u7ec4\u53d7\u5207\u7247slice1\u7684\u4fee\u6539\u5f71\u54cd\nprint(slice1)      # \u8f93\u51fa\uff1a[99  3  4]\nprint(slice2)      # \u8f93\u51fa\uff1a[ 2 88  4]\uff0c\u5207\u7247slice2\u7684\u4fee\u6539\u4e0d\u5f71\u54cd\u539f\u6570\u7ec4\n<\/code><\/pre>\n\n\n\n<p>\u6b64\u5916\uff0cNumpy\u8fd8\u652f\u6301\u4f7f\u7528\u5e03\u5c14\u6570\u7ec4\u8fdb\u884c\u7d22\u5f15\u3002\u5f53\u4f7f\u7528\u5e03\u5c14\u6570\u7ec4\u8fdb\u884c\u7d22\u5f15\u65f6\uff0cNumpy\u5c06\u8fd4\u56de\u6240\u6709\u4e0e\u5e03\u5c14\u6570\u7ec4\u4e2dTrue\u503c\u5bf9\u5e94\u7684\u5143\u7d20\u3002\u8fd9\u79cd\u7d22\u5f15\u65b9\u5f0f\u5728\u8fc7\u6ee4\u6570\u7ec4\u5143\u7d20\u65f6\u975e\u5e38\u6709\u7528\u3002<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">pythonCopy code<code>import numpy as np\n\narr1 = np.array([1, 2, 3, 4, 5])\nbool_idx = arr1 &gt; 3\n\nprint(bool_idx)    # \u8f93\u51fa\uff1a[False False False  True  True]\nprint(arr1[bool_idx])  # \u8f93\u51fa\uff1a[4 5]\n<\/code><\/pre>\n\n\n\n<p>\u901a\u8fc7\u638c\u63e1\u6570\u7ec4\u7d22\u5f15\u548c\u5207\u7247\uff0c\u60a8\u53ef\u4ee5\u7075\u6d3b\u5730\u8bbf\u95ee\u548c\u4fee\u6539\u6570\u7ec4\u4e2d\u7684\u5143\u7d20\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u6570\u7ec4\u7d22\u5f15\u548c\u5207\u7247\u901a\u5e38\u7528\u4e8e\u6570\u636e\u9884\u5904\u7406\u3001\u7279\u5f81\u63d0\u53d6\u3001\u6570\u636e\u8fc7\u6ee4\u7b49\u4efb\u52a1\u3002\u4e86\u89e3\u4e86\u8fd9\u4e9b\u57fa\u672c\u6982\u5ff5\u540e\uff0c\u60a8\u5c06\u80fd\u66f4\u6709\u6548\u5730\u5229\u7528Numpy\u8fdb\u884c\u6570\u7ec4\u64cd\u4f5c\u548c\u6570\u503c\u8ba1\u7b97\u3002<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u8be6\u7ec6\u89e3\u91caNumpy\u6570\u7ec4\u7684\u62fc\u63a5\u4e0e\u5206\u5272<\/p>\n\n\n\n<p>Numpy\u63d0\u4f9b\u4e86\u591a\u79cd\u65b9\u6cd5\u6765\u62fc\u63a5\u548c\u5206\u5272\u6570\u7ec4\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u8fd9\u4e9b\u64cd\u4f5c\u901a\u5e38\u7528\u4e8e\u6574\u5408\u548c\u62c6\u5206\u6570\u636e\u96c6\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u6570\u7ec4\u62fc\u63a5\uff1aNumpy\u63d0\u4f9b\u4e86<code>concatenate<\/code>\u3001<code>vstack<\/code>\u548c<code>hstack<\/code>\u7b49\u51fd\u6570\u6765\u62fc\u63a5\u6570\u7ec4\u3002\u8fd9\u4e9b\u51fd\u6570\u5141\u8bb8\u6cbf\u6307\u5b9a\u8f74\u5c06\u591a\u4e2a\u6570\u7ec4\u8fde\u63a5\u5728\u4e00\u8d77\u3002<ul><li><code>concatenate<\/code>\uff1a\u6cbf\u6307\u5b9a\u8f74\u62fc\u63a5\u6570\u7ec4\u3002pythonCopy code<code>import numpy as np arr1 = np.array([[1, 2], [3, 4]]) arr2 = np.array([[5, 6]]) # \u6cbf\u7b2c0\u8f74\uff08\u884c\uff09\u62fc\u63a5\u6570\u7ec4 result1 = np.concatenate((arr1, arr2), axis=0) print(result1) # \u8f93\u51fa\uff1a[[1 2] # [3 4] # [5 6]] # \u6cbf\u7b2c1\u8f74\uff08\u5217\uff09\u62fc\u63a5\u6570\u7ec4 result2 = np.concatenate((arr1, arr2.T), axis=1) print(result2) # \u8f93\u51fa\uff1a[[1 2 5] # [3 4 6]]<\/code><\/li><li><code>vstack<\/code>\uff1a\u6cbf\u7b2c0\u8f74\uff08\u884c\uff09\u62fc\u63a5\u6570\u7ec4\uff0c\u7b49\u540c\u4e8e<code>concatenate<\/code>\u7684<code>axis=0<\/code>\u64cd\u4f5c\u3002pythonCopy code<code>import numpy as np arr1 = np.array([[1, 2], [3, 4]]) arr2 = np.array([[5, 6]]) result = np.vstack((arr1, arr2)) print(result) # \u8f93\u51fa\uff1a[[1 2] # [3 4] # [5 6]]<\/code><\/li><li><code>hstack<\/code>\uff1a\u6cbf\u7b2c1\u8f74\uff08\u5217\uff09\u62fc\u63a5\u6570\u7ec4\uff0c\u7b49\u540c\u4e8e<code>concatenate<\/code>\u7684<code>axis=1<\/code>\u64cd\u4f5c\u3002pythonCopy code<code>import numpy as np arr1 = np.array([[1, 2], [3, 4]]) arr2 = np.array([[5], [6]]) result = np.hstack((arr1, arr2)) print(result) # \u8f93\u51fa\uff1a[[1 2 5] # [3 4 6]]<\/code><\/li><\/ul>\u5728\u62fc\u63a5\u6570\u7ec4\u65f6\uff0c\u8bf7\u786e\u4fdd\u6570\u7ec4\u7684\u5f62\u72b6\u76f8\u7b26\u3002\u4f8b\u5982\uff0c\u6cbf\u7b2c0\u8f74\u62fc\u63a5\u6570\u7ec4\u65f6\uff0c\u6240\u6709\u8f93\u5165\u6570\u7ec4\u7684\u5217\u6570\u5e94\u76f8\u7b49\uff1b\u6cbf\u7b2c1\u8f74\u62fc\u63a5\u6570\u7ec4\u65f6\uff0c\u6240\u6709\u8f93\u5165\u6570\u7ec4\u7684\u884c\u6570\u5e94\u76f8\u7b49\u3002<\/li>\n\n\n\n<li>\u6570\u7ec4\u5206\u5272\uff1aNumpy\u63d0\u4f9b\u4e86<code>split<\/code>\u3001<code>vsplit<\/code>\u548c<code>hsplit<\/code>\u7b49\u51fd\u6570\u6765\u5206\u5272\u6570\u7ec4\u3002\u8fd9\u4e9b\u51fd\u6570\u5141\u8bb8\u6cbf\u6307\u5b9a\u8f74\u5c06\u6570\u7ec4\u5206\u5272\u4e3a\u591a\u4e2a\u5b50\u6570\u7ec4\u3002\n<ul class=\"wp-block-list\">\n<li><code>split<\/code>\uff1a\u6cbf\u6307\u5b9a\u8f74\u5206\u5272\u6570\u7ec4\u3002pythonCopy code<code>import numpy as np arr = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9], [10, 11, 12]]) # \u6cbf\u7b2c0\u8f74\uff08\u884c\uff09\u5206\u5272\u6570\u7ec4 result1 = np.split(arr, 2, axis=0) print(result1) # \u8f93\u51fa\uff1a[array([[1, 2, 3], #<\/code><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u7ee7\u7eed<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">luaCopy code<code>          [4, 5, 6]]),\n          array([[ 7,  8,  9],\n                 [10, 11, 12]])]\n\n # \u6cbf\u7b2c1\u8f74\uff08\u5217\uff09\u5206\u5272\u6570\u7ec4\n result2 = np.split(arr, 3, axis=1)\n print(result2)\n # \u8f93\u51fa\uff1a[array([[ 1],\n #              [ 4],\n #              [ 7],\n #              [10]]),\n          array([[ 2],\n                 [ 5],\n                 [ 8],\n                 [11]]),\n          array([[ 3],\n                 [ 6],\n                 [ 9],\n                 [12]])]\n ```\n<\/code><\/pre>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>vsplit<\/code>\uff1a\u6cbf\u7b2c0\u8f74\uff08\u884c\uff09\u5206\u5272\u6570\u7ec4\uff0c\u7b49\u540c\u4e8e<code>split<\/code>\u7684<code>axis=0<\/code>\u64cd\u4f5c\u3002pythonCopy code<code>import numpy as np arr = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9], [10, 11, 12]]) result = np.vsplit(arr, 2) print(result) # \u8f93\u51fa\uff1a[array([[1, 2, 3], # [4, 5, 6]]), array([[ 7, 8, 9], [10, 11, 12]])]<\/code><\/li>\n\n\n\n<li><code>hsplit<\/code>\uff1a\u6cbf\u7b2c1\u8f74\uff08\u5217\uff09\u5206\u5272\u6570\u7ec4\uff0c\u7b49\u540c\u4e8e<code>split<\/code>\u7684<code>axis=1<\/code>\u64cd\u4f5c\u3002pythonCopy code<code>import numpy as np arr = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9], [10, 11, 12]]) result = np.hsplit(arr, 3) print(result) # \u8f93\u51fa\uff1a[array([[ 1], # [ 4], # [ 7], # [10]]), array([[ 2], [ 5], [ 8], [11]]), array([[ 3], [ 6], [ 9], [12]])]<\/code><\/li>\n<\/ul>\n\n\n\n<p>\u5728\u5206\u5272\u6570\u7ec4\u65f6\uff0c\u8bf7\u786e\u4fdd\u53ef\u4ee5\u5c06\u6570\u7ec4\u7b49\u5206\u3002\u4f8b\u5982\uff0c\u6cbf\u7b2c0\u8f74\u5206\u5272\u6570\u7ec4\u65f6\uff0c\u8f93\u5165\u6570\u7ec4\u7684\u884c\u6570\u5e94\u80fd\u88ab\u5206\u5272\u4efd\u6570\u6574\u9664\uff1b\u6cbf\u7b2c1\u8f74\u5206\u5272\u6570\u7ec4\u65f6\uff0c\u8f93\u5165\u6570\u7ec4\u7684\u5217\u6570\u5e94\u80fd\u88ab\u5206\u5272\u4efd\u6570\u6574\u9664\u3002<\/p>\n\n\n\n<p>\u901a\u8fc7\u62fc\u63a5\u548c\u5206\u5272\u64cd\u4f5c\uff0c\u60a8\u53ef\u4ee5\u7075\u6d3b\u5730\u7ec4\u5408\u548c\u5206\u79bb\u6570\u7ec4\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u6570\u7ec4\u62fc\u63a5\u548c\u5206\u5272\u901a\u5e38\u7528\u4e8e\u5408\u5e76\u548c\u62c6\u5206\u6570\u636e\u96c6\uff0c\u4f8b\u5982\u5c06\u591a\u4e2a\u6570\u636e\u6587\u4ef6\u6574\u5408\u4e3a\u4e00\u4e2a\u5927\u6570\u636e\u96c6\uff0c\u6216\u5c06\u4e00\u4e2a\u6570\u636e\u96c6\u62c6\u5206\u4e3a\u8bad\u7ec3\u96c6\u548c\u6d4b\u8bd5\u96c6\u7b49\u3002\u638c\u63e1\u4e86\u8fd9\u4e9b\u57fa\u672c\u6982\u5ff5\u540e\uff0c\u60a8\u5c06\u80fd\u66f4\u6709\u6548\u5730\u5229\u7528Numpy\u8fdb\u884c\u6570\u7ec4\u64cd\u4f5c\u548c\u6570\u503c\u8ba1\u7b97\u3002<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u8be6\u7ec6\u89e3\u91caNumpy\u6570\u7ec4\u7684\u5e7f\u64ad<\/p>\n\n\n\n<p>Numpy\u6570\u7ec4\u7684\u5e7f\u64ad\uff08broadcasting\uff09\u662f\u4e00\u79cd\u81ea\u52a8\u5904\u7406\u4e0d\u540c\u5f62\u72b6\u7684\u6570\u7ec4\u8fdb\u884c\u7b97\u672f\u8fd0\u7b97\u7684\u5f3a\u5927\u673a\u5236\u3002\u5e7f\u64ad\u5141\u8bb8\u60a8\u5728\u4e0d\u5b9e\u9645\u590d\u5236\u6570\u636e\u7684\u60c5\u51b5\u4e0b\uff0c\u5bf9\u4e0d\u540c\u5f62\u72b6\u7684\u6570\u7ec4\u6267\u884c\u5143\u7d20\u7ea7\u8fd0\u7b97\u3002<\/p>\n\n\n\n<p>\u4e3a\u4e86\u4f7f\u5e7f\u64ad\u673a\u5236\u6b63\u5e38\u5de5\u4f5c\uff0c\u9700\u8981\u9075\u5faa\u4e00\u5b9a\u7684\u89c4\u5219\u3002\u5728\u5bf9\u4e24\u4e2a\u6570\u7ec4\u8fdb\u884c\u5143\u7d20\u7ea7\u8fd0\u7b97\u65f6\uff0cNumpy\u4f1a\u5bf9\u5b83\u4eec\u7684\u5f62\u72b6\u8fdb\u884c\u6bd4\u8f83\u3002\u4ece\u6700\u540e\u4e00\u4e2a\u7ef4\u5ea6\uff08\u8f74\uff09\u5f00\u59cb\uff0c\u6cbf\u7740\u6bcf\u4e2a\u8f74\u5411\u524d\u6bd4\u8f83\uff0c\u5f62\u72b6\u9700\u8981\u6ee1\u8db3\u4ee5\u4e0b\u6761\u4ef6\u4e4b\u4e00\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u4e24\u4e2a\u6570\u7ec4\u5728\u8be5\u8f74\u4e0a\u5177\u6709\u76f8\u540c\u7684\u5927\u5c0f\u3002<\/li>\n\n\n\n<li>\u5176\u4e2d\u4e00\u4e2a\u6570\u7ec4\u5728\u8be5\u8f74\u4e0a\u7684\u5927\u5c0f\u4e3a1\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u5982\u679c\u4e24\u4e2a\u6570\u7ec4\u7684\u5f62\u72b6\u6ee1\u8db3\u4ee5\u4e0a\u6761\u4ef6\uff0c\u90a3\u4e48\u5b83\u4eec\u5c31\u53ef\u4ee5\u8fdb\u884c\u5e7f\u64ad\u3002\u5426\u5219\uff0cNumpy\u5c06\u5f15\u53d1\u4e00\u4e2a\u5f02\u5e38\uff0c\u8868\u793a\u5f62\u72b6\u4e0d\u517c\u5bb9\u3002<\/p>\n\n\n\n<p>\u4ee5\u4e0b\u662f\u4e00\u4e9b\u5e7f\u64ad\u7684\u793a\u4f8b\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u5bf9\u6807\u91cf\u8fdb\u884c\u5e7f\u64ad\uff1a\u6807\u91cf\u53ef\u4ee5\u770b\u4f5c\u662f\u4e00\u4e2a\u5f62\u72b6\u4e3a\u7a7a\u7684\u6570\u7ec4\u3002\u56e0\u6b64\uff0c\u5b83\u4eec\u5728\u6240\u6709\u8f74\u4e0a\u7684\u5927\u5c0f\u90fd\u4e3a1\uff0c\u53ef\u4ee5\u4e0e\u4efb\u4f55\u6570\u7ec4\u8fdb\u884c\u5e7f\u64ad\u3002pythonCopy code<code>import numpy as np arr = np.array([1, 2, 3]) result = arr * 2 print(result) # \u8f93\u51fa\uff1a[2 4 6]<\/code><\/li>\n\n\n\n<li>\u5bf9\u4e00\u7ef4\u6570\u7ec4\u8fdb\u884c\u5e7f\u64ad\uff1a\u4e00\u7ef4\u6570\u7ec4\u53ef\u4ee5\u4e0e\u5f62\u72b6\u76f8\u540c\u7684\u6570\u7ec4\u6216\u5728\u67d0\u4e2a\u8f74\u4e0a\u5927\u5c0f\u4e3a1\u7684\u6570\u7ec4\u8fdb\u884c\u5e7f\u64ad\u3002pythonCopy code<code>import numpy as np arr1 = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) arr2 = np.array([1, 0, 1]) result = arr1 + arr2 print(result) # \u8f93\u51fa\uff1a[[ 2 2 4] # [ 5 5 7] # [ 8 8 10]]<\/code><\/li>\n\n\n\n<li>\u5bf9\u591a\u7ef4\u6570\u7ec4\u8fdb\u884c\u5e7f\u64ad\uff1a\u5f53\u4e24\u4e2a\u591a\u7ef4\u6570\u7ec4\u7684\u5f62\u72b6\u6ee1\u8db3\u5e7f\u64ad\u89c4\u5219\u65f6\uff0c\u53ef\u4ee5\u8fdb\u884c\u5e7f\u64ad\u3002pythonCopy code<code>import numpy as np arr1 = np.array([[[1, 2], [3, 4]], [[5, 6], [7, 8]]]) arr2 = np.array([[1], [2]]) result = arr1 + arr2 print(result) # \u8f93\u51fa\uff1a[[[ 2 3] # [ 5 6]] # # [[ 7 8] # [ 9 10]]]<\/code><\/li>\n<\/ol>\n\n\n\n<p>\u5728\u4f7f\u7528\u5e7f\u64ad\u65f6\uff0c\u8bf7\u6ce8\u610f\u4ee5\u4e0b\u4e8b\u9879\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u786e\u4fdd\u6570\u7ec4\u7684\u5f62\u72b6\u6ee1\u8db3\u5e7f\u64ad\u89c4\u5219\u3002\u5982\u679c\u5f62\u72b6\u4e0d\u517c\u5bb9\uff0c\u60a8\u9700\u8981\u4f7f\u7528<code>reshape<\/code>\u6216<code>np.newaxis<\/code>\u7b49\u65b9\u6cd5\u8c03\u6574\u6570\u7ec4\u5f62\u72b6\u3002<\/li>\n\n\n\n<li>\u5e7f\u64ad\u64cd\u4f5c\u867d\u7136\u907f\u514d\u4e86\u6570\u636e\u7684\u5b9e\u9645\u590d\u5236\uff0c\u4f46\u4ecd\u7136\u9700\u8981\u8fdb\u884c\u8ba1\u7b97\u3002\u56e0\u6b64\uff0c\u5728\u5904\u7406\u5927\u89c4\u6a21\u6570\u636e\u65f6\uff0c\u8bf7\u786e<\/li>\n<\/ol>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u7ee7\u7eed<\/p>\n\n\n\n<p>\u4fdd\u6709\u8db3\u591f\u7684\u8ba1\u7b97\u8d44\u6e90\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"3\">\n<li>\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\uff0c\u5e7f\u64ad\u53ef\u80fd\u4f1a\u5bfc\u81f4\u610f\u5916\u7684\u7ed3\u679c\u3002\u56e0\u6b64\uff0c\u5728\u4f7f\u7528\u5e7f\u64ad\u65f6\uff0c\u8bf7\u52a1\u5fc5\u68c0\u67e5\u6570\u7ec4\u5f62\u72b6\u4ee5\u786e\u4fdd\u64cd\u4f5c\u6b63\u786e\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u5e7f\u64ad\u673a\u5236\u4f7f\u60a8\u80fd\u591f\u5728\u4e0d\u540c\u5f62\u72b6\u7684\u6570\u7ec4\u4e4b\u95f4\u6267\u884c\u5143\u7d20\u7ea7\u8fd0\u7b97\uff0c\u800c\u65e0\u9700\u590d\u5236\u6570\u636e\u6216\u663e\u5f0f\u5faa\u73af\u3002\u8fd9\u4e0d\u4ec5\u63d0\u9ad8\u4e86\u4ee3\u7801\u7684\u7b80\u6d01\u6027\uff0c\u8fd8\u63d0\u9ad8\u4e86\u8ba1\u7b97\u6548\u7387\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u5e7f\u64ad\u901a\u5e38\u7528\u4e8e\u6267\u884c\u6570\u7ec4\u8fd0\u7b97\u3001\u6570\u636e\u9884\u5904\u7406\u3001\u7279\u5f81\u7f29\u653e\u7b49\u4efb\u52a1\u3002\u638c\u63e1\u4e86\u5e7f\u64ad\u8fd9\u4e00\u57fa\u672c\u6982\u5ff5\u540e\uff0c\u60a8\u5c06\u80fd\u66f4\u6709\u6548\u5730\u5229\u7528Numpy\u8fdb\u884c\u6570\u7ec4\u64cd\u4f5c\u548c\u6570\u503c\u8ba1\u7b97\u3002<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u8be6\u7ec6\u89e3\u91caNumpy\u6570\u7ec4\u7684\u8fed\u4ee3<\/p>\n\n\n\n<p>Numpy\u6570\u7ec4\u652f\u6301\u4f7f\u7528\u5faa\u73af\uff08\u5982<code>for<\/code>\u5faa\u73af\uff09\u8fdb\u884c\u8fed\u4ee3\u3002\u4e0ePython\u4e2d\u7684\u5176\u4ed6\u5e8f\u5217\u7c7b\u578b\uff08\u5982\u5217\u8868\u548c\u5143\u7ec4\uff09\u7c7b\u4f3c\uff0cNumpy\u6570\u7ec4\u7684\u8fed\u4ee3\u662f\u6309\u7167\u5143\u7d20\u8fdb\u884c\u7684\u3002\u4f46\u662f\uff0c\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0cNumpy\u6570\u7ec4\u7684\u8fed\u4ee3\u987a\u5e8f\u548c\u6570\u7ec4\u7684\u5f62\u72b6\u6709\u5173\u3002<\/p>\n\n\n\n<p>\u5bf9\u4e8e\u4e00\u7ef4\u6570\u7ec4\uff0c\u8fed\u4ee3\u987a\u5e8f\u4e0e\u5217\u8868\u76f8\u540c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">pythonCopy code<code>import numpy as np\n\narr = np.array([1, 2, 3, 4, 5])\n\nfor element in arr:\n    print(element)\n\n# \u8f93\u51fa\uff1a\n# 1\n# 2\n# 3\n# 4\n# 5\n<\/code><\/pre>\n\n\n\n<p>\u5bf9\u4e8e\u591a\u7ef4\u6570\u7ec4\uff0c\u8fed\u4ee3\u6309\u7167\u7b2c0\u8f74\uff08\u884c\uff09\u8fdb\u884c\u3002\u8fd9\u610f\u5473\u7740\uff0c\u5728\u8fed\u4ee3\u8fc7\u7a0b\u4e2d\uff0c\u60a8\u5c06\u83b7\u5f97\u6570\u7ec4\u7684\u6bcf\u4e00\u884c\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">pythonCopy code<code>import numpy as np\n\narr = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]])\n\nfor row in arr:\n    print(row)\n\n# \u8f93\u51fa\uff1a\n# [1 2 3]\n# [4 5 6]\n# [7 8 9]\n<\/code><\/pre>\n\n\n\n<p>\u5982\u679c\u60a8\u60f3\u8981\u9010\u5143\u7d20\u5730\u8fed\u4ee3\u591a\u7ef4\u6570\u7ec4\uff0c\u53ef\u4ee5\u4f7f\u7528<code>numpy.nditer<\/code>\u51fd\u6570\u3002<code>nditer<\/code>\u63d0\u4f9b\u4e86\u4e00\u79cd\u9ad8\u6548\u7684\u8fed\u4ee3\u65b9\u5f0f\uff0c\u53ef\u4ee5\u5728\u4efb\u610f\u7ef4\u5ea6\u7684\u6570\u7ec4\u4e0a\u8fdb\u884c\u5143\u7d20\u7ea7\u8fed\u4ee3\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">pythonCopy code<code>import numpy as np\n\narr = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]])\n\nfor element in np.nditer(arr):\n    print(element)\n\n# \u8f93\u51fa\uff1a\n# 1\n# 2\n# 3\n# 4\n# 5\n# 6\n# 7\n# 8\n# 9\n<\/code><\/pre>\n\n\n\n<p>\u9700\u8981\u6ce8\u610f\u7684\u662f\uff0c\u5728\u8fdb\u884c\u6570\u7ec4\u8fed\u4ee3\u65f6\uff0cNumpy\u63d0\u4f9b\u7684\u5185\u7f6e\u51fd\u6570\uff08\u5982<code>sum<\/code>\u3001<code>min<\/code>\u3001<code>max<\/code>\u7b49\uff09\u548c\u5411\u91cf\u5316\u64cd\u4f5c\u901a\u5e38\u6bd4\u663e\u5f0f\u5faa\u73af\u66f4\u9ad8\u6548\u3002\u56e0\u6b64\uff0c\u5728\u5904\u7406\u5927\u89c4\u6a21\u6570\u636e\u65f6\uff0c\u8bf7\u5c3d\u91cf\u4f7f\u7528Numpy\u5185\u7f6e\u51fd\u6570\u548c\u5411\u91cf\u5316\u64cd\u4f5c\uff0c\u4ee5\u63d0\u9ad8\u8ba1\u7b97\u6027\u80fd\u3002<\/p>\n\n\n\n<p>\u603b\u4e4b\uff0cNumpy\u6570\u7ec4\u652f\u6301\u4f7f\u7528\u5faa\u73af\u8fdb\u884c\u8fed\u4ee3\uff0c\u60a8\u53ef\u4ee5\u6839\u636e\u9700\u8981\u5728\u4e00\u7ef4\u548c\u591a\u7ef4\u6570\u7ec4\u4e0a\u8fdb\u884c\u884c\u8fed\u4ee3\u6216\u5143\u7d20\u8fed\u4ee3\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u6570\u7ec4\u8fed\u4ee3\u901a\u5e38\u7528\u4e8e\u6570\u636e\u9884\u5904\u7406\u3001\u7279\u5f81\u63d0\u53d6\u7b49\u4efb\u52a1\u3002\u638c\u63e1\u4e86\u6570\u7ec4\u8fed\u4ee3\u8fd9\u4e00\u57fa\u672c\u6982\u5ff5\u540e\uff0c\u60a8\u5c06\u80fd\u66f4\u6709\u6548\u5730\u5229\u7528Numpy\u8fdb\u884c\u6570\u7ec4\u64cd\u4f5c\u548c\u6570\u503c\u8ba1\u7b97\u3002<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u8be6\u7ec6\u89e3\u91ca\u6570\u7ec4\u7684\u6392\u5e8f\u3001\u641c\u7d22\u548c\u8ba1\u6570<\/p>\n\n\n\n<p>Numpy\u63d0\u4f9b\u4e86\u591a\u79cd\u51fd\u6570\uff0c\u7528\u4e8e\u5bf9\u6570\u7ec4\u8fdb\u884c\u6392\u5e8f\u3001\u641c\u7d22\u548c\u8ba1\u6570\u3002\u4ee5\u4e0b\u662f\u4e00\u4e9b\u5e38\u7528\u51fd\u6570\u7684\u8be6\u7ec6\u8bf4\u660e\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u6392\u5e8f\uff1a\n<ul class=\"wp-block-list\">\n<li><code>numpy.sort()<\/code>\uff1a\u8fd4\u56de\u8f93\u5165\u6570\u7ec4\u7684\u6392\u5e8f\u526f\u672c\u3002\u9ed8\u8ba4\u60c5\u51b5\u4e0b\uff0c\u6392\u5e8f\u662f\u6309\u7167\u5347\u5e8f\u8fdb\u884c\u7684\u3002pythonCopy code<code>import numpy as np arr = np.array([3, 1, 2, 5, 4]) sorted_arr = np.sort(arr) print(sorted_arr) # \u8f93\u51fa\uff1a[1 2 3 4 5]<\/code><\/li>\n\n\n\n<li>\u5bf9\u4e8e\u591a\u7ef4\u6570\u7ec4\uff0c\u53ef\u4ee5\u4f7f\u7528<code>axis<\/code>\u53c2\u6570\u6307\u5b9a\u6cbf\u54ea\u4e2a\u8f74\u8fdb\u884c\u6392\u5e8f\u3002pythonCopy code<code>import numpy as np arr = np.array([[3, 1, 2], [6, 5, 4]]) sorted_arr = np.sort(arr, axis=0) print(sorted_arr) # \u8f93\u51fa\uff1a[[3 1 2] # [6 5 4]]<\/code><\/li>\n\n\n\n<li><code>numpy.argsort()<\/code>\uff1a\u8fd4\u56de\u8f93\u5165\u6570\u7ec4\u7684\u6392\u5e8f\u7d22\u5f15\u3002\u8fd9\u4e9b\u7d22\u5f15\u53ef\u4ee5\u7528\u4e8e\u5bf9\u5176\u4ed6\u6570\u7ec4\u8fdb\u884c\u95f4\u63a5\u6392\u5e8f\u3002pythonCopy code<code>import numpy as np arr = np.array([3, 1, 2, 5, 4]) sorted_indices = np.argsort(arr) print(sorted_indices) # \u8f93\u51fa\uff1a[1 2 0 4 3]<\/code><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u641c\u7d22\uff1a\n<ul class=\"wp-block-list\">\n<li><code>numpy.argmax()<\/code>\uff1a\u8fd4\u56de\u6cbf\u7ed9\u5b9a\u8f74\u7684\u6700\u5927\u503c\u7684\u7d22\u5f15\u3002pythonCopy code<code>import numpy as np arr = np.array([3, 1, 2, 5, 4]) max_index = np.argmax(arr) print(max_index) # \u8f93\u51fa\uff1a3<\/code><\/li>\n\n\n\n<li><code>numpy.argmin()<\/code>\uff1a\u8fd4\u56de\u6cbf\u7ed9\u5b9a\u8f74\u7684\u6700\u5c0f\u503c\u7684\u7d22\u5f15\u3002pythonCopy code<code>import numpy as np arr = np.array([3, 1, 2, 5, 4]) min_index = np.argmin(arr) print(min_index) # \u8f93\u51fa\uff1a1<\/code><\/li>\n\n\n\n<li><code>numpy.where()<\/code>\uff1a\u8fd4\u56de\u6ee1\u8db3\u7ed9\u5b9a\u6761\u4ef6\u7684\u5143\u7d20\u7684\u7d22\u5f15\u3002\u53ef\u4ee5\u7528\u4e8e\u641c\u7d22\u5177\u6709\u7279\u5b9a\u5c5e\u6027\u7684\u6570\u7ec4\u5143\u7d20\u3002pythonCopy code<code>import numpy as np arr = np.array([3, 1, 2, 5, 4]) even_indices = np.where(arr % 2 == 0) print(even_indices) # \u8f93\u51fa\uff1a(array([2, 4]),)<\/code><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u8ba1\u6570\uff1a\n<ul class=\"wp-block-list\">\n<li><code>numpy.count_nonzero()<\/code>\uff1a\u8ba1\u7b97\u6570\u7ec4\u4e2d\u975e\u96f6\u5143\u7d20\u7684\u6570\u91cf\u3002\u53ef\u4ee5\u7528\u4e8e\u8ba1\u7b97\u6ee1\u8db3\u7279\u5b9a\u6761\u4ef6\u7684\u5143\u7d20\u4e2a\u6570\u3002pythonCopy code<code>import numpy as np arr = np.array([3, 1, 2, 5, 4]) even_count = np.count_nonzero(arr % 2 == 0) print(even_count) # \u8f93\u51fa\uff1a2<\/code><\/li>\n\n\n\n<li><code>numpy.bincount()<\/code>\uff1a\u8ba1\u7b97\u6574\u6570\u6570\u7ec4\u4e2d\u6bcf\u4e2a\u503c\u51fa\u73b0\u7684\u6b21\u6570\u3002\u8fd4\u56de\u4e00\u4e2a\u957f\u5ea6\u4e3a<code>max(x) + 1<\/code>\u7684\u6570\u7ec4\uff0c\u5176\u4e2d<code>x<\/code>\u662f\u8f93\u5165\u6570\u7ec4\u3002pythonCopy code<code>import numpy as np arr = np.array([3, 1, 2, 5, 4,<\/code><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u7ee7\u7eed<\/p>\n\n\n\n<p>3, 1, 2, 5, 4])<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">perlCopy code<code> count = np.bincount(arr)\n print(count)  # \u8f93\u51fa\uff1a[0 2 2 2 2 2]\n ```\n \u5728\u8fd9\u4e2a\u4f8b\u5b50\u4e2d\uff0c`count`\u6570\u7ec4\u7684\u7b2ci\u4e2a\u5143\u7d20\u8868\u793a\u503ci\u5728`arr`\u4e2d\u51fa\u73b0\u7684\u6b21\u6570\u3002\u4f8b\u5982\uff0c1\u51fa\u73b0\u4e862\u6b21\uff0c2\u51fa\u73b0\u4e862\u6b21\uff0c\u4f9d\u6b64\u7c7b\u63a8\u3002\n<\/code><\/pre>\n\n\n\n<p>\u4ee5\u4e0a\u662fNumpy\u5e93\u4e2d\u5173\u4e8e\u6570\u7ec4\u6392\u5e8f\u3001\u641c\u7d22\u548c\u8ba1\u6570\u7684\u4e00\u4e9b\u5e38\u7528\u51fd\u6570\u3002\u901a\u8fc7\u4f7f\u7528\u8fd9\u4e9b\u51fd\u6570\uff0c\u60a8\u53ef\u4ee5\u8f7b\u677e\u5730\u5bf9\u6570\u7ec4\u5143\u7d20\u8fdb\u884c\u6392\u5e8f\u3001\u67e5\u627e\u548c\u8ba1\u6570\uff0c\u4ece\u800c\u66f4\u9ad8\u6548\u5730\u5904\u7406\u548c\u5206\u6790\u6570\u636e\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u8fd9\u4e9b\u51fd\u6570\u901a\u5e38\u7528\u4e8e\u6570\u636e\u9884\u5904\u7406\u3001\u7279\u5f81\u63d0\u53d6\u548c\u7edf\u8ba1\u5206\u6790\u7b49\u4efb\u52a1\u3002\u638c\u63e1\u4e86\u8fd9\u4e9b\u57fa\u672c\u6982\u5ff5\u540e\uff0c\u60a8\u5c06\u80fd\u66f4\u6709\u6548\u5730\u5229\u7528Numpy\u8fdb\u884c\u6570\u7ec4\u64cd\u4f5c\u548c\u6570\u503c\u8ba1\u7b97\u3002<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u8be6\u7ec6\u89e3\u91caNumpy\u57fa\u672c\u6570\u5b66\u64cd\u4f5c<\/p>\n\n\n\n<p>Numpy\u63d0\u4f9b\u4e86\u4e00\u7cfb\u5217\u57fa\u672c\u6570\u5b66\u64cd\u4f5c\uff0c\u8fd9\u4e9b\u64cd\u4f5c\u53ef\u4ee5\u5728\u6570\u7ec4\u4e0a\u6267\u884c\u5143\u7d20\u7ea7\u8fd0\u7b97\u3002\u4ee5\u4e0b\u662f\u4e00\u4e9b\u5e38\u7528\u7684\u57fa\u672c\u6570\u5b66\u64cd\u4f5c\u53ca\u5176\u8bf4\u660e\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u9010\u5143\u7d20\u8fd0\u7b97\uff1a\u8fd9\u4e9b\u8fd0\u7b97\u5206\u522b\u5e94\u7528\u4e8e\u6570\u7ec4\u7684\u6bcf\u4e2a\u5143\u7d20\u3002\u4f8b\u5982\uff0c\u52a0\u6cd5\u3001\u51cf\u6cd5\u3001\u4e58\u6cd5\u548c\u9664\u6cd5\u7b49\u3002pythonCopy code<code>import numpy as np arr1 = np.array([1, 2, 3]) arr2 = np.array([4, 5, 6]) # \u52a0\u6cd5 add_result = arr1 + arr2 print(add_result) # \u8f93\u51fa\uff1a[5 7 9] # \u51cf\u6cd5 sub_result = arr1 - arr2 print(sub_result) # \u8f93\u51fa\uff1a[-3 -3 -3] # \u4e58\u6cd5 mul_result = arr1 * arr2 print(mul_result) # \u8f93\u51fa\uff1a[ 4 10 18] # \u9664\u6cd5 div_result = arr1 \/ arr2 print(div_result) # \u8f93\u51fa\uff1a[0.25 0.4 0.5 ]<\/code><\/li>\n\n\n\n<li>\u6807\u91cf\u8fd0\u7b97\uff1a\u53ef\u4ee5\u5c06\u6807\u91cf\u5e94\u7528\u4e8e\u6570\u7ec4\u7684\u6bcf\u4e2a\u5143\u7d20\u3002\u4f8b\u5982\uff0c\u5c06\u6570\u7ec4\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20\u4e58\u4ee5\u4e00\u4e2a\u5e38\u6570\u3002pythonCopy code<code>import numpy as np arr = np.array([1, 2, 3]) # \u4e58\u4ee5\u6807\u91cf result = arr * 2 print(result) # \u8f93\u51fa\uff1a[2 4 6]<\/code><\/li>\n\n\n\n<li>\u6307\u6570\u548c\u5bf9\u6570\u8fd0\u7b97\uff1apythonCopy code<code>import numpy as np arr = np.array([1, 2, 3]) # \u6307\u6570\u8fd0\u7b97 exp_result = np.exp(arr) print(exp_result) # \u8f93\u51fa\uff1a[ 2.71828183 7.3890561 20.08553692] # \u5bf9\u6570\u8fd0\u7b97\uff08\u4ee5e\u4e3a\u5e95\uff09 log_result = np.log(arr) print(log_result) # \u8f93\u51fa\uff1a[0. 0.69314718 1.09861229] # \u5bf9\u6570\u8fd0\u7b97\uff08\u4ee510\u4e3a\u5e95\uff09 log10_result = np.log10(arr) print(log10_result) # \u8f93\u51fa\uff1a[0. 0.30103 0.47712125]<\/code><\/li>\n\n\n\n<li>\u4e09\u89d2\u51fd\u6570\uff1apythonCopy code<code>import numpy as np arr = np.array([0, np.pi \/ 2, np.pi]) # \u6b63\u5f26\u51fd\u6570 sin_result = np.sin(arr) print(sin_result) # \u8f93\u51fa\uff1a[0.0000000e+00 1.0000000e+00 1.2246468e-16] # \u4f59\u5f26\u51fd\u6570 cos_result = np.cos(arr) print(cos_result) # \u8f93\u51fa\uff1a[ 1.000000e+00 6.123234e-17 -1.000000e+00] # \u6b63\u5207\u51fd\u6570 tan_result = np.tan(arr) print(tan_result) # \u8f93\u51fa\uff1a[ 0.00000000e+00 1.63312394e+16 -1.22464680e-16]<\/code><\/li>\n\n\n\n<li>\u5411\u4e0a\u53d6\u6574\u3001\u5411\u4e0b\u53d6\u6574\u548c\u56db\u820d\u4e94\u5165\uff1a<\/li>\n<\/ol>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u7ee7\u7eed<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">pythonCopy code<code>import numpy as np\n\narr = np.array([1.2, 2.5, 3.7, 4.1])\n\n# \u5411\u4e0a\u53d6\u6574\uff08ceil\uff09\nceil_result = np.ceil(arr)\nprint(ceil_result)  # \u8f93\u51fa\uff1a[2. 3. 4. 5.]\n\n# \u5411\u4e0b\u53d6\u6574\uff08floor\uff09\nfloor_result = np.floor(arr)\nprint(floor_result)  # \u8f93\u51fa\uff1a[1. 2. 3. 4.]\n\n# \u56db\u820d\u4e94\u5165\uff08round\uff09\nround_result = np.round(arr)\nprint(round_result)  # \u8f93\u51fa\uff1a[1. 2. 4. 4.]\n<\/code><\/pre>\n\n\n\n<ol class=\"wp-block-list\" start=\"6\">\n<li>\u7edf\u8ba1\u51fd\u6570\uff1a\u8fd9\u4e9b\u51fd\u6570\u53ef\u4ee5\u7528\u4e8e\u8ba1\u7b97\u6570\u7ec4\u4e2d\u5143\u7d20\u7684\u6700\u5927\u503c\u3001\u6700\u5c0f\u503c\u3001\u603b\u548c\u3001\u5e73\u5747\u503c\u7b49\u7edf\u8ba1\u91cf\u3002pythonCopy code<code>import numpy as np arr = np.array([1, 2, 3, 4, 5]) # \u6700\u5927\u503c max_val = np.max(arr) print(max_val) # \u8f93\u51fa\uff1a5 # \u6700\u5c0f\u503c min_val = np.min(arr) print(min_val) # \u8f93\u51fa\uff1a1 # \u603b\u548c sum_val = np.sum(arr) print(sum_val) # \u8f93\u51fa\uff1a15 # \u5e73\u5747\u503c mean_val = np.mean(arr) print(mean_val) # \u8f93\u51fa\uff1a3.0<\/code><\/li>\n<\/ol>\n\n\n\n<p>\u8fd9\u4e9b\u57fa\u672c\u6570\u5b66\u64cd\u4f5c\u5728\u6570\u7ec4\u4e0a\u6267\u884c\u5143\u7d20\u7ea7\u8fd0\u7b97\uff0c\u4f7f\u5f97\u5bf9\u6570\u7ec4\u8fdb\u884c\u5404\u79cd\u8ba1\u7b97\u53d8\u5f97\u7b80\u5355\u5feb\u901f\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u8fd9\u4e9b\u64cd\u4f5c\u901a\u5e38\u7528\u4e8e\u6570\u636e\u5904\u7406\u3001\u6570\u503c\u8ba1\u7b97\u548c\u7edf\u8ba1\u5206\u6790\u7b49\u4efb\u52a1\u3002\u719f\u7ec3\u638c\u63e1\u8fd9\u4e9b\u57fa\u672c\u6570\u5b66\u64cd\u4f5c\u540e\uff0c\u60a8\u5c06\u80fd\u66f4\u6709\u6548\u5730\u5229\u7528Numpy\u8fdb\u884c\u6570\u7ec4\u64cd\u4f5c\u548c\u6570\u503c\u8ba1\u7b97\u3002<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u8be6\u7ec6\u89e3\u91ca\u7ebf\u6027\u4ee3\u6570\u64cd\u4f5c<\/p>\n\n\n\n<p>Numpy\u63d0\u4f9b\u4e86\u4e00\u7cfb\u5217\u7ebf\u6027\u4ee3\u6570\u64cd\u4f5c\uff0c\u8fd9\u4e9b\u64cd\u4f5c\u53ef\u4ee5\u5728\u6570\u7ec4\u4e0a\u6267\u884c\u77e9\u9635\u8fd0\u7b97\u548c\u77e2\u91cf\u8ba1\u7b97\u3002\u4ee5\u4e0b\u662f\u4e00\u4e9b\u5e38\u7528\u7684\u7ebf\u6027\u4ee3\u6570\u64cd\u4f5c\u53ca\u5176\u8bf4\u660e\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u77e9\u9635\u4e58\u6cd5\uff1a\u4f7f\u7528<code>numpy.dot()<\/code>\u6216<code>numpy.matmul()<\/code>\u51fd\u6570\u6267\u884c\u77e9\u9635\u4e58\u6cd5\u3002pythonCopy code<code>import numpy as np A = np.array([[1, 2], [3, 4]]) B = np.array([[5, 6], [7, 8]]) # \u77e9\u9635\u4e58\u6cd5 C = np.dot(A, B) print(C) # \u8f93\u51fa\uff1a # [[19 22] # [43 50]]<\/code><\/li>\n\n\n\n<li>\u77e9\u9635\u8f6c\u7f6e\uff1a\u4f7f\u7528<code>numpy.transpose()<\/code>\u6216<code>.T<\/code>\u5c5e\u6027\u5bf9\u77e9\u9635\u8fdb\u884c\u8f6c\u7f6e\u3002pythonCopy code<code>import numpy as np A = np.array([[1, 2], [3, 4]]) # \u77e9\u9635\u8f6c\u7f6e A_T = np.transpose(A) # \u6216\u8005\u4f7f\u7528 # A_T = A.T print(A_T) # \u8f93\u51fa\uff1a # [[1 3] # [2 4]]<\/code><\/li>\n\n\n\n<li>\u6c42\u9006\u77e9\u9635\uff1a\u4f7f\u7528<code>numpy.linalg.inv()<\/code>\u51fd\u6570\u6c42\u77e9\u9635\u7684\u9006\u3002pythonCopy code<code>import numpy as np A = np.array([[1, 2], [3, 4]]) # \u9006\u77e9\u9635 A_inv = np.linalg.inv(A) print(A_inv) # \u8f93\u51fa\uff1a # [[-2. 1. ] # [ 1.5 -0.5]]<\/code><\/li>\n\n\n\n<li>\u6c42\u884c\u5217\u5f0f\uff1a\u4f7f\u7528<code>numpy.linalg.det()<\/code>\u51fd\u6570\u6c42\u77e9\u9635\u7684\u884c\u5217\u5f0f\u3002pythonCopy code<code>import numpy as np A = np.array([[1, 2], [3, 4]]) # \u884c\u5217\u5f0f det_A = np.linalg.det(A) print(det_A) # \u8f93\u51fa\uff1a-2.0000000000000004<\/code><\/li>\n\n\n\n<li>\u6c42\u7279\u5f81\u503c\u548c\u7279\u5f81\u5411\u91cf\uff1a\u4f7f\u7528<code>numpy.linalg.eig()<\/code>\u51fd\u6570\u6c42\u77e9\u9635\u7684\u7279\u5f81\u503c\u548c\u7279\u5f81\u5411\u91cf\u3002pythonCopy code<code>import numpy as np A = np.array([[1, 2], [3, 4]]) # \u7279\u5f81\u503c\u548c\u7279\u5f81\u5411\u91cf eigenvalues, eigenvectors = np.linalg.eig(A) print(\"\u7279\u5f81\u503c\uff1a\", eigenvalues) print(\"\u7279\u5f81\u5411\u91cf\uff1a\", eigenvectors)<\/code><\/li>\n\n\n\n<li>\u6c42\u89e3\u7ebf\u6027\u65b9\u7a0b\u7ec4\uff1a\u4f7f\u7528<code>numpy.linalg.solve()<\/code>\u51fd\u6570\u6c42\u89e3\u7ebf\u6027\u65b9\u7a0b\u7ec4\u3002pythonCopy code<code>import numpy as np # \u65b9\u7a0b\u7cfb\u6570\u77e9\u9635 A = np.array([[1, 2], [3, 4]]) # \u65b9\u7a0b\u53f3\u4fa7\u5e38\u6570\u9879 b = np.array([5, 6]) # \u6c42\u89e3\u7ebf\u6027\u65b9\u7a0b\u7ec4 x = np.linalg.solve(A, b) print(x) # \u8f93\u51fa\uff1a[-4. 4.5]<\/code><\/li>\n\n\n\n<li>\u8ba1\u7b97\u77e9<\/li>\n<\/ol>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u7ee7\u7eed<\/p>\n\n\n\n<p>\u9635\u7684\u79e9\uff1a\u4f7f\u7528<code>numpy.linalg.matrix_rank()<\/code>\u51fd\u6570\u8ba1\u7b97\u77e9\u9635\u7684\u79e9\u3002<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">pythonCopy code<code>import numpy as np\n\nA = np.array([[1, 2, 3],\n              [4, 5, 6],\n              [7, 8, 9]])\n\n# \u77e9\u9635\u7684\u79e9\nrank_A = np.linalg.matrix_rank(A)\nprint(rank_A)  # \u8f93\u51fa\uff1a2\n<\/code><\/pre>\n\n\n\n<ol class=\"wp-block-list\" start=\"8\">\n<li>\u8ba1\u7b97\u77e9\u9635\u7684\u8ff9\uff1a\u4f7f\u7528<code>numpy.trace()<\/code>\u51fd\u6570\u8ba1\u7b97\u77e9\u9635\u7684\u8ff9\uff08\u4e3b\u5bf9\u89d2\u7ebf\u4e0a\u5143\u7d20\u4e4b\u548c\uff09\u3002pythonCopy code<code>import numpy as np A = np.array([[1, 2], [3, 4]]) # \u77e9\u9635\u7684\u8ff9 trace_A = np.trace(A) print(trace_A) # \u8f93\u51fa\uff1a5<\/code><\/li>\n\n\n\n<li>\u8ba1\u7b97\u77e9\u9635\u7684\u5947\u5f02\u503c\u5206\u89e3\uff08SVD\uff09\uff1a\u4f7f\u7528<code>numpy.linalg.svd()<\/code>\u51fd\u6570\u8ba1\u7b97\u77e9\u9635\u7684\u5947\u5f02\u503c\u5206\u89e3\u3002pythonCopy code<code>import numpy as np A = np.array([[1, 2], [3, 4]]) # \u5947\u5f02\u503c\u5206\u89e3 U, S, V_T = np.linalg.svd(A) print(\"U:\\n\", U) print(\"S:\\n\", S) print(\"V_T:\\n\", V_T)<\/code><\/li>\n<\/ol>\n\n\n\n<p>\u4ee5\u4e0a\u662fNumpy\u5e93\u4e2d\u5173\u4e8e\u7ebf\u6027\u4ee3\u6570\u64cd\u4f5c\u7684\u4e00\u4e9b\u5e38\u7528\u51fd\u6570\u3002\u901a\u8fc7\u4f7f\u7528\u8fd9\u4e9b\u51fd\u6570\uff0c\u60a8\u53ef\u4ee5\u8f7b\u677e\u5730\u8fdb\u884c\u77e9\u9635\u8fd0\u7b97\u548c\u77e2\u91cf\u8ba1\u7b97\uff0c\u4ece\u800c\u66f4\u9ad8\u6548\u5730\u5904\u7406\u548c\u5206\u6790\u6570\u636e\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u8fd9\u4e9b\u64cd\u4f5c\u901a\u5e38\u7528\u4e8e\u6570\u636e\u5904\u7406\u3001\u7279\u5f81\u63d0\u53d6\u548c\u7edf\u8ba1\u5206\u6790\u7b49\u4efb\u52a1\u3002\u638c\u63e1\u4e86\u8fd9\u4e9b\u57fa\u672c\u6982\u5ff5\u540e\uff0c\u60a8\u5c06\u80fd\u66f4\u6709\u6548\u5730\u5229\u7528Numpy\u8fdb\u884c\u6570\u7ec4\u64cd\u4f5c\u548c\u6570\u503c\u8ba1\u7b97\u3002<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u8be6\u7ec6\u89e3\u91ca\u7edf\u8ba1\u51fd\u6570<\/p>\n\n\n\n<p>Numpy\u5e93\u4e2d\u5305\u542b\u4e86\u8bb8\u591a\u5b9e\u7528\u7684\u7edf\u8ba1\u51fd\u6570\uff0c\u8fd9\u4e9b\u51fd\u6570\u53ef\u4ee5\u7528\u4e8e\u8ba1\u7b97\u6570\u7ec4\u4e2d\u5143\u7d20\u7684\u5e73\u5747\u503c\u3001\u65b9\u5dee\u3001\u6807\u51c6\u5dee\u7b49\u7edf\u8ba1\u91cf\u3002\u4ee5\u4e0b\u662f\u4e00\u4e9b\u5e38\u7528\u7684\u7edf\u8ba1\u51fd\u6570\u53ca\u5176\u8bf4\u660e\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u5e73\u5747\u503c\uff1a\u4f7f\u7528<code>numpy.mean()<\/code>\u51fd\u6570\u8ba1\u7b97\u6570\u7ec4\u5143\u7d20\u7684\u5e73\u5747\u503c\u3002pythonCopy code<code>import numpy as np arr = np.array([1, 2, 3, 4, 5]) # \u5e73\u5747\u503c mean_val = np.mean(arr) print(mean_val) # \u8f93\u51fa\uff1a3.0<\/code><\/li>\n\n\n\n<li>\u4e2d\u4f4d\u6570\uff1a\u4f7f\u7528<code>numpy.median()<\/code>\u51fd\u6570\u8ba1\u7b97\u6570\u7ec4\u5143\u7d20\u7684\u4e2d\u4f4d\u6570\u3002pythonCopy code<code>import numpy as np arr = np.array([1, 2, 3, 4, 5]) # \u4e2d\u4f4d\u6570 median_val = np.median(arr) print(median_val) # \u8f93\u51fa\uff1a3.0<\/code><\/li>\n\n\n\n<li>\u65b9\u5dee\uff1a\u4f7f\u7528<code>numpy.var()<\/code>\u51fd\u6570\u8ba1\u7b97\u6570\u7ec4\u5143\u7d20\u7684\u65b9\u5dee\u3002pythonCopy code<code>import numpy as np arr = np.array([1, 2, 3, 4, 5]) # \u65b9\u5dee var_val = np.var(arr) print(var_val) # \u8f93\u51fa\uff1a2.0<\/code><\/li>\n\n\n\n<li>\u6807\u51c6\u5dee\uff1a\u4f7f\u7528<code>numpy.std()<\/code>\u51fd\u6570\u8ba1\u7b97\u6570\u7ec4\u5143\u7d20\u7684\u6807\u51c6\u5dee\u3002pythonCopy code<code>import numpy as np arr = np.array([1, 2, 3, 4, 5]) # \u6807\u51c6\u5dee std_val = np.std(arr) print(std_val) # \u8f93\u51fa\uff1a1.4142135623730951<\/code><\/li>\n\n\n\n<li>\u534f\u65b9\u5dee\uff1a\u4f7f\u7528<code>numpy.cov()<\/code>\u51fd\u6570\u8ba1\u7b97\u6570\u7ec4\u5143\u7d20\u7684\u534f\u65b9\u5dee\u3002pythonCopy code<code>import numpy as np x = np.array([1, 2, 3, 4, 5]) y = np.array([5, 4, 3, 2, 1]) # \u534f\u65b9\u5dee cov_matrix = np.cov(x, y) print(cov_matrix) # \u8f93\u51fa\uff1a # [[ 2.5 -2.5] # [-2.5 2.5]]<\/code><\/li>\n\n\n\n<li>\u76f8\u5173\u7cfb\u6570\uff1a\u4f7f\u7528<code>numpy.corrcoef()<\/code>\u51fd\u6570\u8ba1\u7b97\u6570\u7ec4\u5143\u7d20\u7684\u76f8\u5173\u7cfb\u6570\u3002pythonCopy code<code>import numpy as np x = np.array([1, 2, 3, 4, 5]) y = np.array([5, 4, 3, 2, 1]) # \u76f8\u5173\u7cfb\u6570 corr_matrix = np.corrcoef(x, y) print(corr_matrix) # \u8f93\u51fa\uff1a # [[ 1. -1.] # [-1. 1.]]<\/code><\/li>\n\n\n\n<li>\u76f4\u65b9\u56fe\uff1a\u4f7f\u7528<code>numpy.histogram()<\/code>\u51fd\u6570\u8ba1\u7b97\u6570\u7ec4\u5143\u7d20\u7684\u76f4\u65b9\u56fe\u3002pythonCopy code<code>import numpy as np data = np.array([1, 2, 1, 2, 3, 4, 3, 5, 1, 5]) # \u76f4\u65b9\u56fe hist, bin_edges = np.histogram(data, bins=5) print(\"\u76f4<\/code><\/li>\n<\/ol>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u7ee7\u7eed<\/p>\n\n\n\n<p>\u65b9\u56fe\uff1a&#8221;, hist) # \u8f93\u51fa\uff1a[3 2 2 1 2] print(&#8220;\u5206\u7bb1\u8fb9\u754c\uff1a&#8221;, bin_edges) # \u8f93\u51fa\uff1a[1. 1.8 2.6 3.4 4.2 5. ]<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"8\">\n<li>\u767e\u5206\u4f4d\u6570\uff1a\u4f7f\u7528<code>numpy.percentile()<\/code>\u51fd\u6570\u8ba1\u7b97\u6570\u7ec4\u5143\u7d20\u7684\u767e\u5206\u4f4d\u6570\u3002pythonCopy code<code>import numpy as np data = np.array([1, 2, 3, 4, 5, 6, 7, 8, 9, 10]) # \u8ba1\u7b9725%, 50%, 75%\u767e\u5206\u4f4d\u6570 q25 = np.percentile(data, 25) q50 = np.percentile(data, 50) q75 = np.percentile(data, 75) print(\"25% \u767e\u5206\u4f4d\u6570\uff1a\", q25) # \u8f93\u51fa\uff1a3.25 print(\"50% \u767e\u5206\u4f4d\u6570\uff1a\", q50) # \u8f93\u51fa\uff1a5.5 print(\"75% \u767e\u5206\u4f4d\u6570\uff1a\", q75) # \u8f93\u51fa\uff1a7.75<\/code><\/li>\n\n\n\n<li>\u7d2f\u79ef\u548c\uff1a\u4f7f\u7528<code>numpy.cumsum()<\/code>\u51fd\u6570\u8ba1\u7b97\u6570\u7ec4\u5143\u7d20\u7684\u7d2f\u79ef\u548c\u3002pythonCopy code<code>import numpy as np arr = np.array([1, 2, 3, 4, 5]) # \u7d2f\u79ef\u548c cumsum = np.cumsum(arr) print(cumsum) # \u8f93\u51fa\uff1a[ 1 3 6 10 15]<\/code><\/li>\n\n\n\n<li>\u7d2f\u79ef\u79ef\uff1a\u4f7f\u7528<code>numpy.cumprod()<\/code>\u51fd\u6570\u8ba1\u7b97\u6570\u7ec4\u5143\u7d20\u7684\u7d2f\u79ef\u79ef\u3002pythonCopy code<code>import numpy as np arr = np.array([1, 2, 3, 4, 5]) # \u7d2f\u79ef\u79ef cumprod = np.cumprod(arr) print(cumprod) # \u8f93\u51fa\uff1a[ 1 2 6 24 120]<\/code><\/li>\n<\/ol>\n\n\n\n<p>\u8fd9\u4e9b\u7edf\u8ba1\u51fd\u6570\u53ef\u4ee5\u5e2e\u52a9\u60a8\u8f7b\u677e\u5730\u8ba1\u7b97\u6570\u7ec4\u4e2d\u7684\u5404\u79cd\u7edf\u8ba1\u91cf\uff0c\u4ece\u800c\u5b9e\u73b0\u6570\u636e\u5206\u6790\u548c\u5904\u7406\u7684\u76ee\u6807\u3002\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\uff0c\u8fd9\u4e9b\u64cd\u4f5c\u901a\u5e38\u7528\u4e8e\u6570\u636e\u5206\u6790\u3001\u7279\u5f81\u63d0\u53d6\u548c\u7edf\u8ba1\u5efa\u6a21\u7b49\u4efb\u52a1\u3002\u719f\u7ec3\u638c\u63e1\u8fd9\u4e9b\u7edf\u8ba1\u51fd\u6570\u540e\uff0c\u60a8\u5c06\u80fd\u66f4\u6709\u6548\u5730\u5229\u7528Numpy\u8fdb\u884c\u6570\u7ec4\u64cd\u4f5c\u548c\u6570\u503c\u8ba1\u7b97\u3002<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u8be6\u7ec6\u89e3\u91caNumpy\u7ed3\u6784\u5316\u6570\u7ec4<\/p>\n\n\n\n<p>Numpy\u7ed3\u6784\u5316\u6570\u7ec4\uff08Structured Arrays\uff09\u662f\u4e00\u79cd\u7279\u6b8a\u7684\u6570\u7ec4\u7c7b\u578b\uff0c\u53ef\u4ee5\u5728\u5355\u4e2a\u6570\u7ec4\u4e2d\u5b58\u50a8\u5177\u6709\u4e0d\u540c\u6570\u636e\u7c7b\u578b\u7684\u6570\u636e\u3002\u7ed3\u6784\u5316\u6570\u7ec4\u5728\u67d0\u4e9b\u573a\u666f\u4e0b\u975e\u5e38\u6709\u7528\uff0c\u4f8b\u5982\u5728\u5904\u7406\u8868\u683c\u6570\u636e\u6216\u4e0e\u5176\u4ed6\u7f16\u7a0b\u8bed\u8a00\u4e2d\u7684\u7ed3\u6784\u4f53\u4ea4\u4e92\u65f6\u3002\u7ed3\u6784\u5316\u6570\u7ec4\u4e2d\u7684\u5143\u7d20\u53ef\u4ee5\u88ab\u770b\u4f5c\u662fC\u8bed\u8a00\u4e2d\u7684\u7ed3\u6784\u4f53\uff08struct\uff09\u6216\u8005SQL\u6570\u636e\u5e93\u4e2d\u7684\u8868\u8bb0\u5f55\u3002<\/p>\n\n\n\n<p>\u4ee5\u4e0b\u662f\u5982\u4f55\u521b\u5efa\u548c\u4f7f\u7528Numpy\u7ed3\u6784\u5316\u6570\u7ec4\u7684\u4e00\u4e9b\u793a\u4f8b\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u521b\u5efa\u7ed3\u6784\u5316\u6570\u7ec4\uff1a\u9996\u5148\uff0c\u60a8\u9700\u8981\u5b9a\u4e49\u4e00\u4e2a\u6570\u636e\u7c7b\u578b\u63cf\u8ff0\u7b26\uff08dtype\uff09\uff0c\u5176\u4e2d\u5305\u542b\u5b57\u6bb5\u540d\u3001\u5b57\u6bb5\u7c7b\u578b\u548c\u5b57\u6bb5\u5927\u5c0f\u7b49\u4fe1\u606f\u3002\u7136\u540e\uff0c\u4f7f\u7528<code>numpy.array()<\/code>\u51fd\u6570\u521b\u5efa\u7ed3\u6784\u5316\u6570\u7ec4\u3002pythonCopy code<code>import numpy as np # \u5b9a\u4e49\u6570\u636e\u7c7b\u578b\u63cf\u8ff0\u7b26 dtype = [('name', 'S10'), ('age', 'i4'), ('height', 'f8')] # \u521b\u5efa\u7ed3\u6784\u5316\u6570\u7ec4 data = np.array([('Alice', 25, 1.7), ('Bob', 32, 1.8), ('Cathy', 29, 1.65)], dtype=dtype) print(data) # \u8f93\u51fa\uff1a # [(b'Alice', 25, 1.7 ) (b'Bob', 32, 1.8 ) (b'Cathy', 29, 1.65)]<\/code><\/li>\n\n\n\n<li>\u8bbf\u95ee\u7ed3\u6784\u5316\u6570\u7ec4\u7684\u5b57\u6bb5\uff1a\u4f7f\u7528\u5b57\u6bb5\u540d\u53ef\u4ee5\u76f4\u63a5\u8bbf\u95ee\u7ed3\u6784\u5316\u6570\u7ec4\u7684\u5b57\u6bb5\u3002pythonCopy code<code>import numpy as np dtype = [('name', 'S10'), ('age', 'i4'), ('height', 'f8')] data = np.array([('Alice', 25, 1.7), ('Bob', 32, 1.8), ('Cathy', 29, 1.65)], dtype=dtype) # \u8bbf\u95ee\"name\"\u5b57\u6bb5 print(data['name']) # \u8f93\u51fa\uff1a[b'Alice' b'Bob' b'Cathy'] # \u8bbf\u95ee\"age\"\u5b57\u6bb5 print(data['age']) # \u8f93\u51fa\uff1a[25 32 29] # \u8bbf\u95ee\"height\"\u5b57\u6bb5 print(data['height']) # \u8f93\u51fa\uff1a[1.7 1.8 1.65]<\/code><\/li>\n\n\n\n<li>\u4fee\u6539\u7ed3\u6784\u5316\u6570\u7ec4\u7684\u5b57\u6bb5\uff1a\u60a8\u53ef\u4ee5\u76f4\u63a5\u901a\u8fc7\u5b57\u6bb5\u540d\u4fee\u6539\u7ed3\u6784\u5316\u6570\u7ec4\u7684\u5b57\u6bb5\u503c\u3002pythonCopy code<code>import numpy as np dtype = [('name', 'S10'), ('age', 'i4'), ('height', 'f8')] data = np.array([('Alice', 25, 1.7), ('Bob', 32, 1.8), ('Cathy', 29, 1.65)], dtype=dtype) # \u4fee\u6539\"name\"\u5b57\u6bb5 data['name'][0] = 'Alicia' print(data[0]) # \u8f93\u51fa\uff1a(b'Alicia', 25, 1.7) # \u4fee\u6539\"age\"\u5b57\u6bb5 data['age'][1] = 33 print(data[1]) # \u8f93\u51fa\uff1a(b'Bob', 33, 1.8) # \u4fee\u6539\"height\"\u5b57\u6bb5 data['height'][2] = 1.68 print(data[2]) # \u8f93\u51fa\uff1a(<\/code><\/li>\n<\/ol>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u7ee7\u7eed<\/p>\n\n\n\n<p>b&#8217;Cathy&#8217;, 29, 1.68)<\/p>\n\n\n\n<pre class=\"wp-block-preformatted\">scssCopy code<code>\n4. \u7ed3\u6784\u5316\u6570\u7ec4\u7684\u5207\u7247\u548c\u7d22\u5f15\uff1a\n\n\u7ed3\u6784\u5316\u6570\u7ec4\u652f\u6301\u5207\u7247\u548c\u7d22\u5f15\u64cd\u4f5c\uff0c\u4e0e\u666e\u901aNumpy\u6570\u7ec4\u7c7b\u4f3c\u3002\n\n```python\nimport numpy as np\n\ndtype = [('name', 'S10'), ('age', 'i4'), ('height', 'f8')]\ndata = np.array([('Alice', 25, 1.7),\n                 ('Bob', 32, 1.8),\n                 ('Cathy', 29, 1.65)],\n                dtype=dtype)\n\n# \u7d22\u5f15\u64cd\u4f5c\nprint(data[0])  # \u8f93\u51fa\uff1a(b'Alice', 25, 1.7)\n\n# \u5207\u7247\u64cd\u4f5c\nprint(data[:2])  # \u8f93\u51fa\uff1a[(b'Alice', 25, 1.7 ) (b'Bob', 32, 1.8 )]\n<\/code><\/pre>\n\n\n\n<ol class=\"wp-block-list\" start=\"5\">\n<li>\u4e3a\u7ed3\u6784\u5316\u6570\u7ec4\u6dfb\u52a0\u65b0\u5b57\u6bb5\uff1a\u82e5\u8981\u4e3a\u7ed3\u6784\u5316\u6570\u7ec4\u6dfb\u52a0\u65b0\u5b57\u6bb5\uff0c\u53ef\u4ee5\u4f7f\u7528<code>numpy.lib.recfunctions<\/code>\u6a21\u5757\u4e2d\u7684<code>append_fields()<\/code>\u51fd\u6570\u3002pythonCopy code<code>import numpy as np from numpy.lib import recfunctions as rfn dtype = [('name', 'S10'), ('age', 'i4'), ('height', 'f8')] data = np.array([('Alice', 25, 1.7), ('Bob', 32, 1.8), ('Cathy', 29, 1.65)], dtype=dtype) # \u6dfb\u52a0\u65b0\u5b57\u6bb5\"weight\" weight = np.array([55, 72, 60]) data = rfn.append_fields(data, 'weight', weight, usemask=False) print(data) # \u8f93\u51fa\uff1a # [(b'Alice', 25, 1.7 , 55) (b'Bob', 32, 1.8 , 72) (b'Cathy', 29, 1.65, 60)]<\/code><\/li>\n<\/ol>\n\n\n\n<p>\u603b\u4e4b\uff0cNumpy\u7ed3\u6784\u5316\u6570\u7ec4\u63d0\u4f9b\u4e86\u4e00\u79cd\u65b9\u4fbf\u7684\u65b9\u5f0f\u6765\u5904\u7406\u5177\u6709\u4e0d\u540c\u6570\u636e\u7c7b\u578b\u7684\u6570\u636e\uff0c\u5c24\u5176\u662f\u5728\u5904\u7406\u8868\u683c\u6570\u636e\u65f6\u3002\u901a\u8fc7\u719f\u7ec3\u638c\u63e1\u7ed3\u6784\u5316\u6570\u7ec4\u7684\u521b\u5efa\u3001\u8bbf\u95ee\u3001\u4fee\u6539\u548c\u5176\u4ed6\u64cd\u4f5c\uff0c\u60a8\u5c06\u80fd\u66f4\u6709\u6548\u5730\u5904\u7406\u548c\u5206\u6790\u6570\u636e\u3002<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u8be6\u7ec6\u89e3\u91ca\u6570\u7ec4\u4e0e\u6587\u4ef6\u7684\u8f93\u5165\u8f93\u51fa<\/p>\n\n\n\n<p>Numpy \u63d0\u4f9b\u4e86\u591a\u79cd\u8f93\u5165\u8f93\u51fa\uff08I\/O\uff09\u529f\u80fd\uff0c\u4ee5\u4fbf\u5728\u6587\u4ef6\u548c\u6570\u7ec4\u4e4b\u95f4\u8fdb\u884c\u6570\u636e\u4ea4\u6362\u3002\u4ee5\u4e0b\u662f\u4f7f\u7528 Numpy \u8fdb\u884c\u6587\u4ef6\u8f93\u5165\u8f93\u51fa\u7684\u4e00\u4e9b\u5e38\u89c1\u65b9\u6cd5\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u4f7f\u7528 <code>numpy.savetxt<\/code> \u548c <code>numpy.loadtxt<\/code> \u8bfb\u5199\u6587\u672c\u6587\u4ef6\uff1a\n<ul class=\"wp-block-list\">\n<li>\u4fdd\u5b58\u6570\u7ec4\u5230\u6587\u672c\u6587\u4ef6\uff1apythonCopy code<code>import numpy as np arr = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) # \u5c06\u6570\u7ec4\u4fdd\u5b58\u5230\u6587\u672c\u6587\u4ef6 np.savetxt('array.txt', arr, delimiter=',', fmt='%d')<\/code><\/li>\n\n\n\n<li>\u4ece\u6587\u672c\u6587\u4ef6\u52a0\u8f7d\u6570\u7ec4\uff1apythonCopy code<code>import numpy as np # \u4ece\u6587\u672c\u6587\u4ef6\u4e2d\u52a0\u8f7d\u6570\u7ec4 arr = np.loadtxt('array.txt', delimiter=',', dtype=int) print(arr) # \u8f93\u51fa\uff1a # [[1 2 3] # [4 5 6] # [7 8 9]]<\/code><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u4f7f\u7528 <code>numpy.save<\/code> \u548c <code>numpy.load<\/code> \u8bfb\u5199\u4e8c\u8fdb\u5236\u6587\u4ef6\uff1a\n<ul class=\"wp-block-list\">\n<li>\u4fdd\u5b58\u6570\u7ec4\u5230\u4e8c\u8fdb\u5236\u6587\u4ef6\uff1apythonCopy code<code>import numpy as np arr = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) # \u5c06\u6570\u7ec4\u4fdd\u5b58\u5230\u4e8c\u8fdb\u5236\u6587\u4ef6\uff08.npy \u6587\u4ef6\uff09 np.save('array.npy', arr)<\/code><\/li>\n\n\n\n<li>\u4ece\u4e8c\u8fdb\u5236\u6587\u4ef6\u52a0\u8f7d\u6570\u7ec4\uff1apythonCopy code<code>import numpy as np # \u4ece\u4e8c\u8fdb\u5236\u6587\u4ef6\u4e2d\u52a0\u8f7d\u6570\u7ec4 arr = np.load('array.npy') print(arr) # \u8f93\u51fa\uff1a # [[1 2 3] # [4 5 6] # [7 8 9]]<\/code><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u4f7f\u7528 <code>numpy.savez<\/code> \u548c <code>numpy.load<\/code> \u8bfb\u5199\u591a\u4e2a\u6570\u7ec4\u5230\u4e00\u4e2a\u4e8c\u8fdb\u5236\u6587\u4ef6\uff1a\n<ul class=\"wp-block-list\">\n<li>\u4fdd\u5b58\u591a\u4e2a\u6570\u7ec4\u5230\u4e00\u4e2a\u4e8c\u8fdb\u5236\u6587\u4ef6\uff1apythonCopy code<code>import numpy as np arr1 = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) arr2 = np.array([10, 11, 12]) # \u5c06\u591a\u4e2a\u6570\u7ec4\u4fdd\u5b58\u5230\u4e00\u4e2a\u4e8c\u8fdb\u5236\u6587\u4ef6\uff08.npz \u6587\u4ef6\uff09 np.savez('arrays.npz', array1=arr1, array2=arr2)<\/code><\/li>\n\n\n\n<li>\u4ece\u4e8c\u8fdb\u5236\u6587\u4ef6\u52a0\u8f7d\u591a\u4e2a\u6570\u7ec4\uff1apythonCopy code<code>import numpy as np # \u4ece\u4e8c\u8fdb\u5236\u6587\u4ef6\u4e2d\u52a0\u8f7d\u591a\u4e2a\u6570\u7ec4 arrays = np.load('arrays.npz') arr1 = arrays['array1'] arr2 = arrays['array2'] print(arr1) # \u8f93\u51fa\uff1a # [[1 2 3] # [4 5 6] # [7 8 9]] print(arr2) # \u8f93\u51fa\uff1a[10 11 12]<\/code><\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>\u603b\u4e4b\uff0cNumpy \u63d0\u4f9b\u4e86\u591a\u79cd\u65b9\u6cd5\u6765\u8bfb\u5199\u6570\u7ec4\u548c\u6587\u4ef6\u3002\u719f\u7ec3\u638c\u63e1\u8fd9\u4e9b\u65b9\u6cd5\u5c06\u6709\u52a9\u4e8e\u5728\u6587\u4ef6\u548c\u6570\u7ec4\u4e4b\u95f4\u8f7b\u677e\u5730\u4ea4\u6362\u6570\u636e\u3002<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u8be6\u7ec6\u89e3\u91ca\u5185\u5b58\u6620\u5c04\u6587\u4ef6<\/p>\n\n\n\n<p>The previous model used in this conversation is unavailable. We&#8217;ve switched you to the latest default model<\/p>\n\n\n\n<p>\u5185\u5b58\u6620\u5c04\u6587\u4ef6\uff08Memory-mapped files\uff09\u662f\u4e00\u79cd\u5c06\u6587\u4ef6\u5185\u5bb9\u6620\u5c04\u5230\u5185\u5b58\u4e2d\u7684\u65b9\u6cd5\uff0c\u4ece\u800c\u53ef\u4ee5\u50cf\u64cd\u4f5c\u666e\u901a\u7684 Numpy \u6570\u7ec4\u4e00\u6837\u8bbf\u95ee\u6587\u4ef6\u5185\u5bb9\u3002\u8fd9\u79cd\u65b9\u6cd5\u901a\u5e38\u6bd4\u5e38\u89c4\u7684\u6587\u4ef6 I\/O \u66f4\u5feb\uff0c\u5e76\u4e14\u53ef\u4ee5\u5728\u4e0d\u52a0\u8f7d\u6574\u4e2a\u6587\u4ef6\u5230\u5185\u5b58\u7684\u60c5\u51b5\u4e0b\u5bf9\u6587\u4ef6\u8fdb\u884c\u968f\u673a\u8bbf\u95ee\u3002<\/p>\n\n\n\n<p>\u4f7f\u7528 Numpy \u8fdb\u884c\u5185\u5b58\u6620\u5c04\u6587\u4ef6\u7684\u57fa\u672c\u6b65\u9aa4\u5982\u4e0b\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u521b\u5efa\u4e00\u4e2a\u65b0\u7684\u5185\u5b58\u6620\u5c04\u6587\u4ef6\uff1apythonCopy code<code>import numpy as np # \u521b\u5efa\u4e00\u4e2a\u5927\u5c0f\u4e3a10\u7684\u5185\u5b58\u6620\u5c04\u6587\u4ef6 mmap = np.memmap('data.bin', dtype='float32', mode='w+', shape=(10,))<\/code><\/li>\n\n\n\n<li>\u5c06\u6570\u636e\u5199\u5165\u5185\u5b58\u6620\u5c04\u6587\u4ef6\uff1apythonCopy code<code>import numpy as np # \u521b\u5efa\u4e00\u4e2a\u5927\u5c0f\u4e3a10\u7684\u5185\u5b58\u6620\u5c04\u6587\u4ef6 mmap = np.memmap('data.bin', dtype='float32', mode='w+', shape=(10,)) # \u5c06\u6570\u636e\u5199\u5165\u5185\u5b58\u6620\u5c04\u6587\u4ef6 mmap[:] = np.random.rand(10)<\/code><\/li>\n\n\n\n<li>\u4ece\u5185\u5b58\u6620\u5c04\u6587\u4ef6\u8bfb\u53d6\u6570\u636e\uff1apythonCopy code<code>import numpy as np # \u6253\u5f00\u4e00\u4e2a\u5df2\u7ecf\u5b58\u5728\u7684\u5185\u5b58\u6620\u5c04\u6587\u4ef6 mmap = np.memmap('data.bin', dtype='float32', mode='r', shape=(10,)) # \u8bfb\u53d6\u5185\u5b58\u6620\u5c04\u6587\u4ef6\u4e2d\u7684\u6570\u636e print(mmap[:]) # \u8f93\u51fa\uff1a[0.09657331 0.41412982 0.22753178 0.36957222 0.60524863 0.5531499 # 0.54240286 0.5989496 0.47942564 0.7396767 ]<\/code><\/li>\n\n\n\n<li>\u4fee\u6539\u5185\u5b58\u6620\u5c04\u6587\u4ef6\u4e2d\u7684\u6570\u636e\uff1apythonCopy code<code>import numpy as np # \u6253\u5f00\u4e00\u4e2a\u5df2\u7ecf\u5b58\u5728\u7684\u5185\u5b58\u6620\u5c04\u6587\u4ef6 mmap = np.memmap('data.bin', dtype='float32', mode='r+', shape=(10,)) # \u4fee\u6539\u5185\u5b58\u6620\u5c04\u6587\u4ef6\u4e2d\u7684\u6570\u636e mmap[0] = 0.1234 print(mmap[:]) # \u8f93\u51fa\uff1a[0.1234 0.41412982 0.22753178 0.36957222 0.60524863 0.5531499 # 0.54240286 0.5989496 0.47942564 0.7396767 ]<\/code><\/li>\n\n\n\n<li>\u5173\u95ed\u5185\u5b58\u6620\u5c04\u6587\u4ef6\uff1apythonCopy code<code>import numpy as np # \u6253\u5f00\u4e00\u4e2a\u5df2\u7ecf\u5b58\u5728\u7684\u5185\u5b58\u6620\u5c04\u6587\u4ef6 mmap = np.memmap('data.bin', dtype='float32', mode='r+', shape=(10,)) # \u4fee\u6539\u5185\u5b58\u6620\u5c04\u6587\u4ef6\u4e2d\u7684\u6570\u636e mmap[0] = 0.1234 # \u5173\u95ed\u5185\u5b58\u6620\u5c04\u6587\u4ef6 del mmap<\/code><\/li>\n<\/ol>\n\n\n\n<p>\u603b\u4e4b\uff0c\u5185\u5b58\u6620\u5c04\u6587\u4ef6\u662f\u4e00\u79cd\u9ad8\u6548\u7684\u8bfb\u5199\u5927\u578b\u6570\u636e\u96c6\u7684\u65b9\u6cd5\uff0c\u7279\u522b\u662f\u5728\u6570\u636e\u96c6\u592a\u5927\u65e0\u6cd5\u5168\u90e8\u52a0\u8f7d\u5230\u5185\u5b58\u65f6\u3002\u4f7f\u7528 Numpy \u8fdb\u884c<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u8be6\u7ec6\u89e3\u91ca\u6570\u7ec4\u7684\u6761\u4ef6\u4e0e\u903b\u8f91\u64cd\u4f5c<\/p>\n\n\n\n<p>\u5728 Numpy \u4e2d\uff0c\u6570\u7ec4\u7684\u6761\u4ef6\u548c\u903b\u8f91\u64cd\u4f5c\u53ef\u4ee5\u7528\u4e8e\u751f\u6210\u4e00\u4e2a\u5e03\u5c14\u6570\u7ec4\u6216\u6807\u91cf\uff0c\u5e03\u5c14\u6570\u7ec4\u901a\u5e38\u88ab\u7528\u4f5c\u7d22\u5f15\uff0c\u4ee5\u9009\u62e9\u6570\u7ec4\u7684\u5b50\u96c6\u3002\u4ee5\u4e0b\u662f Numpy \u4e2d\u7684\u4e00\u4e9b\u5e38\u89c1\u6761\u4ef6\u548c\u903b\u8f91\u64cd\u4f5c\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u6570\u7ec4\u6bd4\u8f83\uff1a\u53ef\u4ee5\u4f7f\u7528\u5404\u79cd\u6bd4\u8f83\u8fd0\u7b97\u7b26\uff08\u4f8b\u5982 <code>&lt;<\/code>\u3001<code>&lt;=<\/code>\u3001<code>==<\/code>\u3001<code>!=<\/code>\u3001<code>&gt;<\/code>\u3001<code>&gt;=<\/code>\uff09\u6765\u6bd4\u8f83\u6570\u7ec4\u3002\u6bd4\u8f83\u8fd0\u7b97\u7b26\u5c06\u9010\u4e2a\u6bd4\u8f83\u6570\u7ec4\u5143\u7d20\uff0c\u5e76\u751f\u6210\u4e00\u4e2a\u5e03\u5c14\u6570\u7ec4\u4f5c\u4e3a\u7ed3\u679c\u3002\u4f8b\u5982\uff1apythonCopy code<code>import numpy as np a = np.array([1, 2, 3, 4, 5]) b = np.array([5, 4, 3, 2, 1]) print(a &lt; b) # \u8f93\u51fa\uff1a[ True True False False False]<\/code><\/li>\n\n\n\n<li>\u903b\u8f91\u8fd0\u7b97\uff1a\u53ef\u4ee5\u4f7f\u7528\u5404\u79cd\u903b\u8f91\u8fd0\u7b97\u7b26\uff08\u4f8b\u5982 <code>&amp;<\/code>\u3001<code>|<\/code>\u3001<code>^<\/code>\u3001<code>~<\/code>\uff09\u6765\u7ec4\u5408\u5e03\u5c14\u6570\u7ec4\u3002\u4f8b\u5982\uff1apythonCopy code<code>import numpy as np a = np.array([True, False, True]) b = np.array([False, True, True]) print(a &amp; b) # \u8f93\u51fa\uff1a[False False True] print(a | b) # \u8f93\u51fa\uff1a[ True True True] print(~a) # \u8f93\u51fa\uff1a[False True False]<\/code><\/li>\n\n\n\n<li>\u6570\u7ec4\u4e2d\u7684\u5143\u7d20\u662f\u5426\u5b58\u5728\uff1a\u53ef\u4ee5\u4f7f\u7528 <code>numpy.in1d()<\/code> \u51fd\u6570\u6765\u5224\u65ad\u4e00\u4e2a\u6570\u7ec4\u4e2d\u7684\u5143\u7d20\u662f\u5426\u5b58\u5728\u4e8e\u53e6\u4e00\u4e2a\u6570\u7ec4\u4e2d\u3002\u4f8b\u5982\uff1apythonCopy code<code>import numpy as np a = np.array([1, 2, 3, 4, 5]) b = np.array([3, 4, 5]) print(np.in1d(a, b)) # \u8f93\u51fa\uff1a[False False True True True]<\/code><\/li>\n\n\n\n<li>\u903b\u8f91\u64cd\u4f5c\u51fd\u6570\uff1aNumpy \u8fd8\u63d0\u4f9b\u4e86\u4e00\u4e9b\u903b\u8f91\u64cd\u4f5c\u51fd\u6570\uff0c\u4f8b\u5982 <code>numpy.logical_and()<\/code>\u3001<code>numpy.logical_or()<\/code>\u3001<code>numpy.logical_not()<\/code> \u7b49\u7b49\u3002\u8fd9\u4e9b\u51fd\u6570\u53ef\u4ee5\u7528\u4e8e\u5bf9\u4e24\u4e2a\u6216\u591a\u4e2a\u5e03\u5c14\u6570\u7ec4\u8fdb\u884c\u9010\u4e2a\u64cd\u4f5c\uff0c\u5e76\u751f\u6210\u4e00\u4e2a\u65b0\u7684\u5e03\u5c14\u6570\u7ec4\u4f5c\u4e3a\u7ed3\u679c\u3002\u4f8b\u5982\uff1apythonCopy code<code>import numpy as np a = np.array([True, False, True]) b = np.array([False, True, True]) print(np.logical_and(a, b)) # \u8f93\u51fa\uff1a[False False True] print(np.logical_or(a, b)) # \u8f93\u51fa\uff1a[ True True True] print(np.logical_not(a)) # \u8f93\u51fa\uff1a[False True False]<\/code><\/li>\n<\/ol>\n\n\n\n<p>\u603b\u4e4b\uff0c\u6761\u4ef6\u548c\u903b\u8f91\u64cd\u4f5c\u5728 Numpy \u4e2d\u662f\u975e\u5e38\u5e38\u89c1\u7684\u64cd\u4f5c\uff0c\u5b83\u4eec\u80fd\u591f\u5e2e\u52a9\u6211\u4eec\u7b5b\u9009\u51fa\u7279\u5b9a\u7684\u6570\u7ec4\u5143\u7d20\u6216\u8005\u5bf9\u6570\u7ec4\u8fdb\u884c\u903b\u8f91\u64cd\u4f5c\u3002\u638c\u63e1\u8fd9\u4e9b\u64cd\u4f5c\u5c06\u4f7f\u60a8\u66f4\u52a0\u719f\u7ec3\u5730\u64cd\u4f5c Numpy \u6570\u7ec4\u3002<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u8be6\u7ec6\u89e3\u91caNumpy\u5b9e\u6218\u6848\u4f8b \u6570\u636e\u5904\u7406\u4e0e\u5206\u6790<\/p>\n\n\n\n<p>Numpy \u662f Python \u4e2d\u7528\u4e8e\u79d1\u5b66\u8ba1\u7b97\u548c\u6570\u636e\u5904\u7406\u7684\u91cd\u8981\u5de5\u5177\uff0c\u5176\u5f3a\u5927\u7684\u6570\u7ec4\u529f\u80fd\u548c\u5e7f\u6cdb\u7684\u6570\u5b66\u5e93\u53ef\u4ee5\u5e2e\u52a9\u60a8\u5904\u7406\u548c\u5206\u6790\u5404\u79cd\u6570\u636e\u96c6\u3002\u4e0b\u9762\u662f\u4e00\u4e2a\u4f7f\u7528 Numpy \u8fdb\u884c\u6570\u636e\u5904\u7406\u548c\u5206\u6790\u7684\u5b9e\u6218\u6848\u4f8b\uff1a<\/p>\n\n\n\n<p>\u5047\u8bbe\u60a8\u8981\u5206\u6790\u4e00\u4efd\u9500\u552e\u6570\u636e\uff0c\u5176\u4e2d\u5305\u542b\u6bcf\u4e2a\u6708\u7684\u9500\u552e\u989d\u548c\u5f00\u9500\u3002\u6570\u636e\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>\u6708\u4efd<\/th><th>\u9500\u552e\u989d<\/th><th>\u5f00\u9500<\/th><\/tr><\/thead><tbody><tr><td>1<\/td><td>10000<\/td><td>5000<\/td><\/tr><tr><td>2<\/td><td>15000<\/td><td>6000<\/td><\/tr><tr><td>3<\/td><td>20000<\/td><td>8000<\/td><\/tr><tr><td>4<\/td><td>25000<\/td><td>9000<\/td><\/tr><tr><td>5<\/td><td>30000<\/td><td>12000<\/td><\/tr><tr><td>6<\/td><td>35000<\/td><td>15000<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u4f7f\u7528 Numpy \u53ef\u4ee5\u8f7b\u677e\u5730\u5bf9\u8fd9\u4e9b\u6570\u636e\u8fdb\u884c\u5904\u7406\u548c\u5206\u6790\uff0c\u4ee5\u4e0b\u662f\u4e00\u4e2a\u7b80\u5355\u7684\u6848\u4f8b\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u5bfc\u5165 Numpy \u5e93\uff1apythonCopy code<code>import numpy as np<\/code><\/li>\n\n\n\n<li>\u521b\u5efa\u4e00\u4e2a\u5305\u542b\u9500\u552e\u989d\u548c\u5f00\u9500\u7684 Numpy \u6570\u7ec4\uff1apythonCopy code<code>data = np.array([ [10000, 5000], [15000, 6000], [20000, 8000], [25000, 9000], [30000, 12000], [35000, 15000] ])<\/code><\/li>\n\n\n\n<li>\u8ba1\u7b97\u6bcf\u4e2a\u6708\u7684\u5229\u6da6\uff1apythonCopy code<code>profit = data[:, 0] - data[:, 1] print(profit) # \u8f93\u51fa\uff1a[ 5000 9000 12000 16000 18000 20000]<\/code><\/li>\n\n\n\n<li>\u8ba1\u7b97\u603b\u5229\u6da6\uff1apythonCopy code<code>total_profit = np.sum(profit) print(total_profit) # \u8f93\u51fa\uff1a80000<\/code><\/li>\n\n\n\n<li>\u8ba1\u7b97\u5229\u6da6\u7684\u5e73\u5747\u503c\u3001\u65b9\u5dee\u548c\u6807\u51c6\u5dee\uff1apythonCopy code<code>mean_profit = np.mean(profit) var_profit = np.var(profit) std_profit = np.std(profit) print(mean_profit) # \u8f93\u51fa\uff1a11666.666666666666 print(var_profit) # \u8f93\u51fa\uff1a35555555.55555556 print(std_profit) # \u8f93\u51fa\uff1a5961.529705572744<\/code><\/li>\n\n\n\n<li>\u67e5\u627e\u5229\u6da6\u6700\u9ad8\u7684\u6708\u4efd\u548c\u5229\u6da6\u6700\u4f4e\u7684\u6708\u4efd\uff1apythonCopy code<code>max_profit_index = np.argmax(profit) min_profit_index = np.argmin(profit) print(f\"\u5229\u6da6\u6700\u9ad8\u7684\u6708\u4efd\u662f {max_profit_index + 1}\uff0c\u5229\u6da6\u4e3a {profit[max_profit_index]}\") # \u8f93\u51fa\uff1a\u5229\u6da6\u6700\u9ad8\u7684\u6708\u4efd\u662f 6\uff0c\u5229\u6da6\u4e3a 20000 print(f\"\u5229\u6da6\u6700\u4f4e\u7684\u6708\u4efd\u662f {min_profit_index + 1}\uff0c\u5229\u6da6\u4e3a {profit[min_profit_index]}\") # \u8f93\u51fa\uff1a\u5229\u6da6\u6700\u4f4e\u7684\u6708\u4efd\u662f 1\uff0c\u5229\u6da6\u4e3a 5000<\/code><\/li>\n\n\n\n<li>\u7ed8\u5236\u9500\u552e\u989d\u548c\u5229\u6da6\u7684\u6298\u7ebf\u56fe\uff1apythonCopy code<code>import matplotlib.pyplot as plt x = np.arange(1, 7) fig, ax1 = plt.subplots<\/code><\/li>\n<\/ol>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u7ee7\u7eed<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"7\">\n<li>\u7ed8\u5236\u9500\u552e\u989d\u548c\u5229\u6da6\u7684\u6298\u7ebf\u56fe\uff1apythonCopy code<code>import matplotlib.pyplot as plt x = np.arange(1, 7) fig, ax1 = plt.subplots() color = 'tab:red' ax1.set_xlabel('\u6708\u4efd') ax1.set_ylabel('\u9500\u552e\u989d', color=color) ax1.plot(x, data[:, 0], color=color) ax1.tick_params(axis='y', labelcolor=color) ax2 = ax1.twinx() color = 'tab:blue' ax2.set_ylabel('\u5229\u6da6', color=color) ax2.plot(x, profit, color=color) ax2.tick_params(axis='y', labelcolor=color) fig.tight_layout() plt.show() <\/code>\u8f93\u51fa\u7684\u6298\u7ebf\u56fe\u5982\u4e0b\u6240\u793a\uff1a<img decoding=\"async\" src=\"https:\/\/i.imgur.com\/5Wy2Qzo.png\" alt=\"\u6298\u7ebf\u56fe\"><\/li>\n<\/ol>\n\n\n\n<p>\u901a\u8fc7\u8fd9\u4e2a\u6848\u4f8b\uff0c\u60a8\u53ef\u4ee5\u4e86\u89e3\u5230\u5982\u4f55\u4f7f\u7528 Numpy \u5bf9\u6570\u636e\u8fdb\u884c\u5904\u7406\u548c\u5206\u6790\uff0c\u5305\u62ec\u6570\u7ec4\u7684\u521b\u5efa\u3001\u6570\u5b66\u8ba1\u7b97\u3001\u7edf\u8ba1\u5206\u6790\u4ee5\u53ca\u6570\u636e\u53ef\u89c6\u5316\u7b49\u64cd\u4f5c\u3002 Numpy \u662f Python \u6570\u636e\u79d1\u5b66\u751f\u6001\u7cfb\u7edf\u4e2d\u4e0d\u53ef\u6216\u7f3a\u7684\u4e00\u90e8\u5206\uff0c\u5b83\u63d0\u4f9b\u4e86\u5f3a\u5927\u7684\u5de5\u5177\u548c\u529f\u80fd\uff0c\u5e2e\u52a9\u60a8\u66f4\u9ad8\u6548\u5730\u8fdb\u884c\u6570\u636e\u5904\u7406\u548c\u5206\u6790\u3002<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u8be6\u7ec6\u89e3\u91caNumpy\u5b9e\u6218\u6848\u4f8b\u56fe\u50cf\u5904\u7406<\/p>\n\n\n\n<p>Numpy \u4f5c\u4e3a Python \u4e2d\u79d1\u5b66\u8ba1\u7b97\u548c\u6570\u636e\u5904\u7406\u7684\u91cd\u8981\u5e93\uff0c\u5176\u5f3a\u5927\u7684\u6570\u7ec4\u529f\u80fd\u548c\u5e7f\u6cdb\u7684\u6570\u5b66\u5e93\u4e5f\u4f7f\u5176\u6210\u4e3a\u4e00\u79cd\u91cd\u8981\u7684\u56fe\u50cf\u5904\u7406\u5de5\u5177\u3002\u4e0b\u9762\u662f\u4e00\u4e2a\u4f7f\u7528 Numpy \u8fdb\u884c\u56fe\u50cf\u5904\u7406\u7684\u5b9e\u6218\u6848\u4f8b\uff1a<\/p>\n\n\n\n<p>\u5047\u8bbe\u60a8\u6709\u4e00\u5f20\u732b\u7684\u56fe\u7247\uff0c\u60a8\u60f3\u8981\u5bf9\u8fd9\u5f20\u56fe\u7247\u8fdb\u884c\u7b80\u5355\u7684\u5904\u7406\uff1a\u7f29\u5c0f\u5c3a\u5bf8\u3001\u53d8\u6210\u7070\u5ea6\u56fe\u50cf\u3001\u5e76\u6dfb\u52a0\u4e00\u4e2a\u9ad8\u65af\u6a21\u7cca\u7684\u6548\u679c\u3002<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u5bfc\u5165 Numpy \u548c OpenCV \u5e93\uff1apythonCopy code<code>import cv2 import numpy as np<\/code><\/li>\n\n\n\n<li>\u52a0\u8f7d\u56fe\u50cf\u5e76\u5c06\u5176\u7f29\u5c0f\u4e3a\u539f\u6765\u7684\u4e00\u534a\uff1apythonCopy code<code>img = cv2.imread('cat.jpg') img = cv2.resize(img, (0, 0), fx=0.5, fy=0.5)<\/code><\/li>\n\n\n\n<li>\u5c06\u56fe\u50cf\u8f6c\u6362\u4e3a\u7070\u5ea6\u56fe\u50cf\uff1apythonCopy code<code>gray = cv2.cvtColor(img, cv2.COLOR_BGR2GRAY)<\/code><\/li>\n\n\n\n<li>\u6dfb\u52a0\u9ad8\u65af\u6a21\u7cca\u6548\u679c\uff1apythonCopy code<code>blurred = cv2.GaussianBlur(gray, (7, 7), 0)<\/code><\/li>\n\n\n\n<li>\u663e\u793a\u5904\u7406\u540e\u7684\u56fe\u50cf\uff1apythonCopy code<code>cv2.imshow('Processed Image', blurred) cv2.waitKey(0)<\/code><\/li>\n\n\n\n<li>\u5c06\u5904\u7406\u540e\u7684\u56fe\u50cf\u4fdd\u5b58\u4e3a\u6587\u4ef6\uff1apythonCopy code<code>cv2.imwrite('processed_cat.jpg', blurred)<\/code><\/li>\n<\/ol>\n\n\n\n<p>\u901a\u8fc7\u8fd9\u4e2a\u6848\u4f8b\uff0c\u60a8\u53ef\u4ee5\u4e86\u89e3\u5230\u5982\u4f55\u4f7f\u7528 Numpy \u548c OpenCV \u5e93\u8fdb\u884c\u56fe\u50cf\u5904\u7406\uff0c\u5305\u62ec\u56fe\u50cf\u7684\u52a0\u8f7d\u3001\u7f29\u653e\u3001\u8f6c\u6362\u4e3a\u7070\u5ea6\u56fe\u50cf\u3001\u6dfb\u52a0\u9ad8\u65af\u6a21\u7cca\u6548\u679c\u4ee5\u53ca\u4fdd\u5b58\u5904\u7406\u540e\u7684\u56fe\u50cf\u7b49\u64cd\u4f5c\u3002 Numpy \u7684\u5f3a\u5927\u7684\u6570\u7ec4\u529f\u80fd\u548c OpenCV \u5e93\u7684\u56fe\u50cf\u5904\u7406\u529f\u80fd\u4f7f\u5f97 Python \u6210\u4e3a\u4e00\u4e2a\u975e\u5e38\u5f3a\u5927\u7684\u56fe\u50cf\u5904\u7406\u5de5\u5177\uff0c\u65e0\u8bba\u60a8\u662f\u5728\u8ba1\u7b97\u673a\u89c6\u89c9\u3001\u56fe\u50cf\u5904\u7406\u3001\u673a\u5668\u5b66\u4e60\u7b49\u9886\u57df\uff0cPython \u90fd\u662f\u4e00\u4e2a\u4e0d\u53ef\u6216\u7f3a\u7684\u5de5\u5177\u3002<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u8be6\u7ec6\u89e3\u91caNumpy\u5b9e\u6218\u6848\u4f8b\u673a\u5668\u5b66\u4e60\u57fa\u7840<\/p>\n\n\n\n<p>Numpy \u5728\u673a\u5668\u5b66\u4e60\u9886\u57df\u4e2d\u662f\u4e00\u4e2a\u975e\u5e38\u5e38\u7528\u7684\u5de5\u5177\uff0c\u56e0\u4e3a\u5b83\u63d0\u4f9b\u4e86\u5f3a\u5927\u7684\u6570\u7ec4\u529f\u80fd\u548c\u6570\u5b66\u8ba1\u7b97\u5e93\uff0c\u53ef\u4ee5\u5e2e\u52a9\u60a8\u5904\u7406\u548c\u5206\u6790\u5404\u79cd\u6570\u636e\u96c6\u3002\u4ee5\u4e0b\u662f\u4e00\u4e2a\u4f7f\u7528 Numpy \u8fdb\u884c\u673a\u5668\u5b66\u4e60\u57fa\u7840\u7684\u5b9e\u6218\u6848\u4f8b\uff1a<\/p>\n\n\n\n<p>\u5047\u8bbe\u60a8\u60f3\u8981\u4f7f\u7528 Numpy \u6765\u6784\u5efa\u4e00\u4e2a\u7b80\u5355\u7684\u7ebf\u6027\u56de\u5f52\u6a21\u578b\uff0c\u4ee5\u9884\u6d4b\u4e00\u4e2a\u4eba\u7684\u8eab\u9ad8\u548c\u4f53\u91cd\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u60a8\u5df2\u7ecf\u6709\u4e86\u4e00\u4e2a\u8bad\u7ec3\u96c6\uff0c\u5176\u4e2d\u5305\u542b\u4e86\u8eab\u9ad8\u548c\u4f53\u91cd\u7684\u6570\u636e\u3002\u6570\u636e\u5982\u4e0b\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>\u8eab\u9ad8\uff08\u7c73\uff09<\/th><th>\u4f53\u91cd\uff08\u5343\u514b\uff09<\/th><\/tr><\/thead><tbody><tr><td>1.60<\/td><td>60<\/td><\/tr><tr><td>1.65<\/td><td>65<\/td><\/tr><tr><td>1.70<\/td><td>68<\/td><\/tr><tr><td>1.75<\/td><td>70<\/td><\/tr><tr><td>1.80<\/td><td>75<\/td><\/tr><tr><td>1.85<\/td><td>80<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u4f7f\u7528 Numpy \u53ef\u4ee5\u8f7b\u677e\u5730\u6784\u5efa\u8fd9\u4e2a\u7ebf\u6027\u56de\u5f52\u6a21\u578b\uff0c\u4ee5\u4e0b\u662f\u4e00\u4e2a\u7b80\u5355\u7684\u6848\u4f8b\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u5bfc\u5165 Numpy \u5e93\uff1apythonCopy code<code>import numpy as np<\/code><\/li>\n\n\n\n<li>\u521b\u5efa\u4e00\u4e2a\u5305\u542b\u8eab\u9ad8\u548c\u4f53\u91cd\u7684 Numpy \u6570\u7ec4\uff1apythonCopy code<code>data = np.array([ [1.60, 60], [1.65, 65], [1.70, 68], [1.75, 70], [1.80, 75], [1.85, 80] ])<\/code><\/li>\n\n\n\n<li>\u5c06\u8eab\u9ad8\u548c\u4f53\u91cd\u5206\u522b\u4fdd\u5b58\u4e3a X \u548c y \u53d8\u91cf\uff1apythonCopy code<code>X = data[:, 0] y = data[:, 1]<\/code><\/li>\n\n\n\n<li>\u8ba1\u7b97 X \u548c y \u7684\u5e73\u5747\u503c\u548c\u65b9\u5dee\uff1apythonCopy code<code>X_mean = np.mean(X) y_mean = np.mean(y) X_std = np.std(X) y_std = np.std(y)<\/code><\/li>\n\n\n\n<li>\u5bf9 X \u548c y \u8fdb\u884c\u6807\u51c6\u5316\u5904\u7406\uff1apythonCopy code<code>X_norm = (X - X_mean) \/ X_std y_norm = (y - y_mean) \/ y_std<\/code><\/li>\n\n\n\n<li>\u5728 X_norm \u7684\u672b\u5c3e\u6dfb\u52a0\u4e00\u5217 1\uff0c\u4ee5\u4fbf\u5728\u8ba1\u7b97\u4e2d\u5305\u62ec\u622a\u8ddd\uff1apythonCopy code<code>X_norm = np.c_[X_norm, np.ones(X_norm.shape[0])]<\/code><\/li>\n\n\n\n<li>\u4f7f\u7528\u6700\u5c0f\u4e8c\u4e58\u6cd5\u8ba1\u7b97\u7ebf\u6027\u56de\u5f52\u7684\u7cfb\u6570\uff1apythonCopy code<code>coef = np.linalg.inv(X_norm.T @ X_norm) @ X_norm.T @ y_norm<\/code><\/li>\n\n\n\n<li>\u663e\u793a\u7ebf\u6027\u56de\u5f52\u7684\u7cfb\u6570\uff1apythonCopy code<code>print(coef) # \u8f93\u51fa\uff1a[ 0.99040169 -0.01997317]<\/code><\/li>\n\n\n\n<li>\u5bf9\u65b0\u7684\u8eab\u9ad8\u6570\u636e\u8fdb\u884c\u9884\u6d4b\uff1apythonCopy code<code>new_X = np.array([1.72, 1.90]) new_X_norm = (new_X - X_mean) \/ X_std new_X_norm = np.c_[new_X_norm, np.ones(new_X_norm.shape[0])] pred_y_norm = new_X_norm @ coef pred_y = pred_y_norm * y_std + y_mean<\/code><\/li>\n<\/ol>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u7ee7\u7eed<\/p>\n\n\n\n<ol class=\"wp-block-list\" start=\"9\">\n<li>\u5bf9\u65b0\u7684\u8eab\u9ad8\u6570\u636e\u8fdb\u884c\u9884\u6d4b\uff1apythonCopy code<code>new_X = np.array([1.72, 1.90]) new_X_norm = (new_X - X_mean) \/ X_std new_X_norm = np.c_[new_X_norm, np.ones(new_X_norm.shape[0])] pred_y_norm = new_X_norm @ coef pred_y = pred_y_norm * y_std + y_mean print(pred_y) # \u8f93\u51fa\uff1a[67.14898288 84.07659441]<\/code><\/li>\n<\/ol>\n\n\n\n<p>\u901a\u8fc7\u8fd9\u4e2a\u6848\u4f8b\uff0c\u60a8\u53ef\u4ee5\u4e86\u89e3\u5230\u5982\u4f55\u4f7f\u7528 Numpy \u6784\u5efa\u4e00\u4e2a\u7b80\u5355\u7684\u7ebf\u6027\u56de\u5f52\u6a21\u578b\uff0c\u5305\u62ec\u6570\u636e\u7684\u6807\u51c6\u5316\u3001\u7cfb\u6570\u7684\u8ba1\u7b97\u4ee5\u53ca\u5bf9\u65b0\u6570\u636e\u7684\u9884\u6d4b\u7b49\u64cd\u4f5c\u3002 Numpy \u7684\u5f3a\u5927\u7684\u6570\u7ec4\u529f\u80fd\u548c\u6570\u5b66\u8ba1\u7b97\u5e93\u4f7f\u5176\u6210\u4e3a Python \u673a\u5668\u5b66\u4e60\u751f\u6001\u7cfb\u7edf\u4e2d\u4e0d\u53ef\u6216\u7f3a\u7684\u4e00\u90e8\u5206\uff0c\u5b83\u53ef\u4ee5\u5e2e\u52a9\u60a8\u66f4\u9ad8\u6548\u5730\u8fdb\u884c\u6570\u636e\u5904\u7406\u548c\u5206\u6790\uff0c\u66f4\u5bb9\u6613\u5730\u6784\u5efa\u548c\u8bad\u7ec3\u5404\u79cd\u673a\u5668\u5b66\u4e60\u6a21\u578b\u3002<\/p>\n\n\n\n\n\n<figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/chat.openai.com\/_next\/image?url=https%3A%2F%2Flh3.googleusercontent.com%2Fa%2FAGNmyxbwVdnTP0E2eBqDrujRQjV-wFP12Thr4vFgysVv5A%3Ds96-c&amp;w=96&amp;q=75\" alt=\"gun tei\"\/><\/figure>\n\n\n\n<p>\u8bf7\u8fdb\u884cNumpy\u5b66\u4e60\u8d44\u6e90\u63a8\u8350<\/p>\n\n\n\n<p>\u4ee5\u4e0b\u662f\u4e00\u4e9b Numpy \u5b66\u4e60\u8d44\u6e90\u7684\u63a8\u8350\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u5b98\u65b9\u6587\u6863\uff1aNumpy \u5b98\u65b9\u6587\u6863\u662f\u5b66\u4e60 Numpy \u6700\u6743\u5a01\u7684\u8d44\u6599\uff0c\u5305\u542b\u4e86\u8be6\u7ec6\u7684\u6587\u6863\u548c\u793a\u4f8b\u4ee3\u7801\u3002\u60a8\u53ef\u4ee5\u5728\u5b98\u65b9\u6587\u6863\u4e2d\u4e86\u89e3\u5230 Numpy \u4e2d\u7684\u5404\u79cd\u51fd\u6570\u3001\u6a21\u5757\u548c\u5de5\u5177\u7b49\uff0c\u5e76\u6df1\u5165\u4e86\u89e3\u5176\u4f7f\u7528\u65b9\u6cd5\u3002<a href=\"https:\/\/numpy.org\/doc\/stable\/\">\u5b98\u65b9\u6587\u6863\u94fe\u63a5<\/a><\/li>\n\n\n\n<li>Numpy User Guide\uff1aNumpy \u7528\u6237\u6307\u5357\u662f\u4e00\u4efd\u975e\u5e38\u597d\u7684\u6559\u7a0b\uff0c\u8be6\u7ec6\u4ecb\u7ecd\u4e86 Numpy \u7684\u57fa\u672c\u6982\u5ff5\u548c\u4f7f\u7528\u65b9\u6cd5\u3002\u8be5\u6307\u5357\u5305\u542b\u5927\u91cf\u7684\u793a\u4f8b\u4ee3\u7801\uff0c\u53ef\u4ee5\u5e2e\u52a9\u60a8\u66f4\u597d\u5730\u7406\u89e3 Numpy \u7684\u5404\u79cd\u64cd\u4f5c\u548c\u51fd\u6570\u3002<a href=\"https:\/\/numpy.org\/doc\/stable\/user\/index.html\">\u7528\u6237\u6307\u5357\u94fe\u63a5<\/a><\/li>\n\n\n\n<li>Scipy Lecture Notes\uff1aScipy \u8bb2\u4e49\u662f\u4e00\u4efd\u7efc\u5408\u6027\u7684\u79d1\u5b66\u8ba1\u7b97\u6559\u7a0b\uff0c\u5176\u4e2d\u5305\u62ec\u4e86 Numpy\u3001Scipy \u548c Matplotlib \u7b49\u5e93\u7684\u4f7f\u7528\u65b9\u6cd5\u3002\u8be5\u8bb2\u4e49\u6db5\u76d6\u4e86\u79d1\u5b66\u8ba1\u7b97\u4e2d\u7684\u5404\u4e2a\u65b9\u9762\uff0c\u5305\u62ec\u7ebf\u6027\u4ee3\u6570\u3001\u4f18\u5316\u3001\u4fe1\u53f7\u5904\u7406\u7b49\uff0c\u975e\u5e38\u9002\u5408\u5b66\u4e60\u79d1\u5b66\u8ba1\u7b97\u548c\u6570\u636e\u5206\u6790\u3002<a href=\"https:\/\/scipy-lectures.org\/\">Scipy \u8bb2\u4e49\u94fe\u63a5<\/a><\/li>\n\n\n\n<li>Numpy \u57fa\u7840\u6559\u7a0b\u89c6\u9891\uff1a\u8fd9\u662f\u4e00\u4efd Numpy \u57fa\u7840\u6559\u7a0b\u7684\u89c6\u9891\uff0c\u6db5\u76d6\u4e86 Numpy \u7684\u57fa\u672c\u6982\u5ff5\u3001\u6570\u7ec4\u64cd\u4f5c\u548c\u6570\u5b66\u8ba1\u7b97\u7b49\u65b9\u9762\u3002\u8be5\u89c6\u9891\u662f\u7531 Python \u4e2d\u6587\u793e\u533a\u5236\u4f5c\uff0c\u8bb2\u89e3\u975e\u5e38\u6e05\u6670\u6613\u61c2\uff0c\u9002\u5408\u521d\u5b66\u8005\u5165\u95e8\u3002<a href=\"https:\/\/www.bilibili.com\/video\/BV1aJ411X7kb\">Numpy \u57fa\u7840\u6559\u7a0b\u89c6\u9891\u94fe\u63a5<\/a><\/li>\n\n\n\n<li>Coursera \u4e0a\u7684\u6570\u636e\u79d1\u5b66\u5165\u95e8\u8bfe\u7a0b\uff1a\u8fd9\u662f\u4e00\u4efd\u7531 Michigan \u5927\u5b66\u63d0\u4f9b\u7684\u514d\u8d39\u6570\u636e\u79d1\u5b66\u5165\u95e8\u8bfe\u7a0b\uff0c\u5176\u4e2d\u6db5\u76d6\u4e86 Numpy\u3001Pandas\u3001Matplotlib \u548c Scikit-learn \u7b49\u5e93\u7684\u4f7f\u7528\u65b9\u6cd5\u3002\u8be5\u8bfe\u7a0b\u5305\u542b\u4e86\u8bb8\u591a\u5b9e\u6218\u6848\u4f8b\u548c\u7f16\u7a0b\u4f5c\u4e1a\uff0c\u975e\u5e38\u9002\u5408\u5b66\u4e60\u6570\u636e\u79d1\u5b66\u548c\u673a\u5668\u5b66\u4e60\u3002<a href=\"https:\/\/www.coursera.org\/learn\/python-data-analysis\">Coursera \u6570\u636e\u79d1\u5b66\u5165\u95e8\u8bfe\u7a0b\u94fe\u63a5<\/a><\/li>\n<\/ol>\n\n\n\n<p>\u901a\u8fc7\u4e0a\u8ff0\u5b66\u4e60\u8d44\u6e90\u7684\u5b66\u4e60\uff0c\u60a8\u53ef\u4ee5\u7cfb\u7edf\u5730\u4e86\u89e3\u548c\u5b66\u4e60 Numpy\uff0c\u638c\u63e1\u5176\u5404\u79cd\u64cd\u4f5c\u548c\u51fd\u6570\u7684\u4f7f\u7528\u65b9\u6cd5\uff0c\u5e76\u5c06\u5176\u5e94\u7528\u4e8e\u79d1\u5b66\u8ba1\u7b97\u3001\u6570\u636e\u5206\u6790\u3001\u673a\u5668\u5b66\u4e60\u7b49\u9886\u57df\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6211\u662f\u8981\u505aIT\u6559\u7a0b\u7684\u89c6\u9891\uff0c\u4f60\u80fd\u5426\u6839\u636e\u7f51\u7ad9\u7684 &hellip; <\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[23],"tags":[],"class_list":["post-1865","post","type-post","status-publish","format-standard","hentry","category-material"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/edu.ujhb.org\/index.php?rest_route=\/wp\/v2\/posts\/1865","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/edu.ujhb.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/edu.ujhb.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/edu.ujhb.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/edu.ujhb.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1865"}],"version-history":[{"count":1,"href":"https:\/\/edu.ujhb.org\/index.php?rest_route=\/wp\/v2\/posts\/1865\/revisions"}],"predecessor-version":[{"id":1866,"href":"https:\/\/edu.ujhb.org\/index.php?rest_route=\/wp\/v2\/posts\/1865\/revisions\/1866"}],"wp:attachment":[{"href":"https:\/\/edu.ujhb.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1865"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/edu.ujhb.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1865"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/edu.ujhb.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1865"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}