{"id":554306,"date":"2022-02-08T16:11:06","date_gmt":"2022-02-08T08:11:06","guid":{"rendered":"http:\/\/4563.org\/?p=554306"},"modified":"2022-02-08T16:11:06","modified_gmt":"2022-02-08T08:11:06","slug":"%e8%af%a2%e9%97%ae%e4%b8%80%e4%ba%9b%e5%85%a5%e9%97%a8%e7%ba%a7%e7%9a%84%e7%ba%bf%e6%80%a7%e4%bb%a3%e6%95%b0%e7%9f%a5%e8%af%86%ef%bc%8c%e6%b1%82%e8%a7%a3%e6%83%91-7","status":"publish","type":"post","link":"http:\/\/4563.org\/?p=554306","title":{"rendered":"\u8be2\u95ee\u4e00\u4e9b\u5165\u95e8\u7ea7\u7684\u7ebf\u6027\u4ee3\u6570\u77e5\u8bc6\uff0c\u6c42\u89e3\u60d1"},"content":{"rendered":"<div>\n<div>\n<div>\n<h1> \u8be2\u95ee\u4e00\u4e9b\u5165\u95e8\u7ea7\u7684\u7ebf\u6027\u4ee3\u6570\u77e5\u8bc6\uff0c\u6c42\u89e3\u60d1 <\/h1>\n<p> <\/p>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : LeeReamond <\/span>  <span><i><\/i> 60<\/span> <\/div>\n<div> <\/div>\n<\/p><\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div isfirst=\"1\"> <\/p>\n<p>\u5927\u5b66\u65f6\u6ca1\u5b66\u597d\uff0c\u6bd5\u4e1a\u540e\u8fd9\u4e48\u591a\u5e74\u5fd8\u5149\u4e86\uff0c\u6700\u8fd1\u5de5\u4f5c\u7528\u5230\uff0c\u770b\u4e86\u4e00\u4e9b\u7ebf\u6027\u4ee3\u6570\u4e66\uff0c\u767e\u5ea6\u641c\u4e86\u534a\u5929\uff0c\u611f\u89c9\u6709\u5f88\u591a\u8bf4\u6cd5\u4e92\u76f8\u77db\u76fe\uff0c\u641e\u4e0d\u592a\u61c2\u4e86\u6765\u95ee\u95ee\u3002<\/p>\n<p>\u95ee\u9898 1\uff1a\u77e9\u9635\u662f m*n \uff0c\u5411\u91cf\u662f k \u7ef4\u7684\uff0c\u7c7b\u4f3c 1*k \uff0c\u5982\u6b64\u770b\u6765\uff0c\u8ba4\u4e3a\u77e9\u9635\u7531\u5411\u91cf\u7ec4\u6210\uff0c\u8fd9\u4e2a\u8bf4\u6cd5\u6ca1\u9519\u5427\uff1f\u6211\u8fd8\u8bb0\u5f97\u4e0a\u5b66\u7684\u65f6\u5019\u8fd8\u6709\u4e2a\u53eb\u884c\u5217\u5f0f\u7684\u4e1c\u897f\uff0c\u8fd9\u4e2a\u53c8\u662f\u4ec0\u4e48\uff1f<\/p>\n<p>\u95ee\u9898 2\uff1a\u6211\u8bb0\u5f97\u6709\u70b9\u4e58\u548c\u53c9\u4e58\u7684\u533a\u522b\uff0c\u5982\u4e0b\u8fd9\u5f20\u56fe\u4ee3\u8868\u7684\u662f\u70b9\u4e58\u8fd8\u662f\u53c9\u4e58\u7684\u8ba1\u7b97\u65b9\u6cd5\uff0c\u8fd8\u662f\u4ec0\u4e48\u5176\u4ed6\u7684\u522b\u7684\uff1f <img decoding=\"async\" loading=\"lazy\" referrerpolicy=\"no-referrer\" rel=\"noreferrer\" src=\"http:\/\/4563.org\/wp-content\/uploads\/2022\/01\/20220118_61e7226ef0d4a.gif\" alt=\"\u8be2\u95ee\u4e00\u4e9b\u5165\u95e8\u7ea7\u7684\u7ebf\u6027\u4ee3\u6570\u77e5\u8bc6\uff0c\u6c42\u89e3\u60d1\" \/><\/p>\n<p>\u95ee\u9898 3\uff1a\u63a5\u7eed 2 \uff0c\u5411\u91cf\u7684\u70b9\u4e58\u548c\u53c9\u4e58\uff0c\u4e0e\u77e9\u9635\u7684\u70b9\u4e58\u548c\u53c9\u4e58\u662f\u5426\u9075\u5faa\u4e0d\u540c\u7684\u8ba1\u7b97\u903b\u8f91\uff1f<\/p>\n<p>\u95ee\u9898 4\uff1anumpy \u4e2d\u5982\u4e0b\u4ee3\u7801\uff1a<\/p>\n<pre><code>import numpy as np  arr1 = np.array([  [1,2],  [3,4] ]) arr2 = np.array([  [5,6],  [7,8] ]) print(arr1.dot(arr2)) <\/code><\/pre>\n<p>\u5f97\u5230\u7684\u7ed3\u679c\u662f<\/p>\n<pre><code>[[19 22]  [43 50]] <\/code><\/pre>\n<p>\u8fd9\u4e2a\u662f\u7531\u70b9\u4e58\u8fd8\u662f\u53c9\u4e58\u7b97\u51fa\u6765\u7684\uff1f\u600e\u4e48\u611f\u89c9\u548c\u4e0a\u56fe\u4e2d\u663e\u793a\u7684\u8ba1\u7b97\u65b9\u5f0f\u4e0d\u5bf9\u5462\uff1f\u5982\u679c\u662f\u53c9\u4e58\u7684\u8bdd\u53c8\u4e3a\u4ec0\u4e48\u53eb dot \u5462\uff0cdot \u4e0d\u662f\u70b9\u4e48<\/p>\n<p>\u95ee\u9898 5\uff1a\u77e9\u9635\u4e2d\u6328\u4e2a\u4f4d\u7f6e\u76f4\u63a5\u76f8\u4e58\uff0c\u6bd4\u5982 2*2 \u77e9\u9635 1,2,3,4 \u548c 5,6,7,8 \u76f8\u4e58\uff0c\u5f97\u5230 5,12,21,32 \u7684\u8bdd\uff0c\u8fd9\u79cd\u8ba1\u7b97\u89c4\u5219\u662f\u53eb\u4ec0\u4e48\uff1f<\/p>\n<p>\u6bd4\u8f83\u57fa\u7840\uff0c\u5927\u5bb6\u8f7b\u55b7\u3002<\/p>\n<\/p><\/div>\n<div> <b>\u5927\u4f6c\u6709\u8a71\u8aaa<\/b> (<span>10<\/span>) <\/div>\n<div> <\/div>\n<\/p><\/div>\n<\/p><\/div>\n<ul>\n<li data-pid=\"7055618\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : GuuJiang <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>  <\/span> <\/div>\n<\/p><\/div>\n<div> 1. \u6ca1\u95ee\u9898\uff0cm*n \u77e9\u9635\u53ef\u4ee5\u8ba4\u4e3a\u7531 m \u4e2a\u884c\u5411\u91cf\u7ec4\u6210\uff0c\u4e5f\u53ef\u4ee5\u8ba4\u4e3a\u7531 n \u4e2a\u5217\u5411\u91cf\u7ec4\u6210\uff0c\u81f3\u4e8e\u884c\u5217\u5f0f\u3002\u3002\u3002\u8fd8\u662f\u5efa\u8bae\u56de\u53bb\u7ffb\u4e66\u5427\uff0c\u8fd9\u4e2a\u5b9e\u5728\u592a\u57fa\u7840\u4e86<br \/>2. \u70b9\u4e58\u548c\u53c9\u4e58\u503c\u5f97\u662f\u5411\u91cf\u4e4b\u95f4\u7684\u4e58\u6cd5\uff0c\u6709\u7684\u5730\u65b9\u628a\u901a\u5e38\u610f\u4e49\u4e0a\u7684\u77e9\u9635\u4e58\u6cd5\u4e5f\u53eb\u505a\u70b9\u4e58\uff0c\u81f3\u4e8e\u4f60\u53d1\u7684\u8fd9\u4e2a\u56fe\uff0c\u5e94\u8be5\u662f\u5728\u5c55\u793a\u77e9\u9635\u4e58\u6cd5\u7684\u5176\u4e2d\u4e00\u4e2a\u6b65\u9aa4\uff0c\u5373 A*B \u4e2d\u7684\u5143\u7d20[i,j]\u7b49\u4e8e A \u4e2d\u7684\u7b2c i \u4e2a\u884c\u5411\u91cf\u4e0e B \u4e2d\u7684\u7b2c j \u4e2a\u5217\u5411\u91cf\u7684\u70b9\u79ef\uff0c\u8fd9\u4e5f\u89e3\u91ca\u4e86\u4e3a\u4ec0\u4e48\u628a\u77e9\u9635\u4e58\u6cd5\u4e5f\u53eb\u505a\u70b9\u4e58<br \/>3. \u540c\u4e0a\uff0c\u4e0d\u5b58\u5728\u77e9\u9635\u7684\u53c9\u4e58<br \/>4. \u540c\u4e0a<br \/>5. element-wise product \uff0c\u9010\u5143\u7d20\u76f8\u4e58 <\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"7055619\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : qq8331199 <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>  <\/span> <\/div>\n<\/p><\/div>\n<div> https:\/\/www.bilibili.com\/video\/BV1ys411472E<br \/>\u7ebf\u6027\u4ee3\u6570\u7684\u672c\u8d28 <\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"7055620\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u4e3b<\/span> <span>\u8cc7\u6df1\u5927\u4f6c : LeeReamond <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>  <\/span> <\/div>\n<\/p><\/div>\n<div> @GuuJiang \u611f\u8c22\uff0c\u6240\u4ee5\u4e00\u822c\u8bf4\u7684\u77e9\u9635\u4e58\u6cd5\uff0c\u4e0d\u662f\u6307 element-wise product \uff0c\u800c\u662f\u6307\u8fd9\u4e2a dot \uff0c\u662f\u6309\u7167\u8fd9\u4e2a\u903b\u8f91\u8ba1\u7b97\uff0c\u6bd4\u5982 2*3 \u77e9\u9635\u4e58 3*2 \u77e9\u9635\u5f97\u5230 2*2 \u77e9\u9635\u8fd9\u6837\uff1f\u7136\u540e\u5411\u91cf\u7684\u70b9\u4e58\u5219\u662f\u6307\u77e9\u9635\u70b9\u4e58\u4e2d\u7684\u67d0\u4e00\u6b65\uff0c\u5373\u6309\u987a\u5e8f\u6bcf\u4e2a\u4f4d\u7f6e\u76f8\u4e58\u7136\u540e\u52a0\u548c\uff0c\u5411\u91cf\u7684\u53c9\u4e58\u7684\u8bdd\u5219\u4f7f\u7528\u5176\u4ed6\u903b\u8f91\uff0c\u77e9\u9635\u4e0d\u5b58\u5728\u53c9\u4e58\u8fd9\u6837\uff1f<br \/>@qq8331199 \u8fd9\u4e2a\u524d\u51e0\u5e74\u770b\u8fc7\uff0c\u5370\u8c61\u91cc\u4ed6\u4e3b\u8981\u89e3\u91ca\u5411\u91cf\u8ba1\u7b97\u7684\u7269\u7406\u542b\u4e49\u7684\uff0c\u770b\u5b8c\u6709\u6536\u83b7\u4f46\u662f\u592a\u957f\u65f6\u95f4\u4e0d\u7528\u4e5f\u5fd8\u4e86\u3002\u800c\u4e14\u5411\u91cf\u548c\u77e9\u9635\u5173\u7cfb\u6ca1\u641e\u660e\u767d\u4e5f\u59a8\u788d\u6211\u7406\u89e3 <\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"7055621\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : qq8331199 <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>  <\/span> <\/div>\n<\/p><\/div>\n<div> @LeeReamond \u91cc\u9762\u8fd9\u4e2a\u89c6\u9891\u5c31\u8bb2\u4e86\u5411\u91cf\u548c\u77e9\u9635\u7684\u5173\u7cfb\uff0c\u4ece\u6700\u57fa\u672c\u7684\u5f00\u59cb\u8bb2 <\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"7055622\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : yehoshua <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>  <\/span> <\/div>\n<\/p><\/div>\n<div> \u8fd9\u51e0\u4e2a\u95ee\u9898\u90fd\u662f\u7ebf\u6027\u4ee3\u6570\u7684\u6700\u521d\u7ea7\u57fa\u7840\u77e5\u8bc6\uff0c\u4e00\u89e3\u91ca\u7684\u5f88\u6e05\u695a\u4e86\u3002\u5efa\u8bae\u4e70\u672c\u4e66\uff0c\u770b\u770b b \u7ad9\u7684\u89c6\u9891\u597d\u597d\u590d\u4e60\u4e00\u4e0b\u3002\u8981\u4e0d\u7136\u9047\u5230\u540e\u9762\u7684\u4e1c\u897f\u4f9d\u7136\u96be\u61c2\u3002 <\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"7055623\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : dingwen07 <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>  <\/span> <\/div>\n<\/p><\/div>\n<div> https:\/\/math.berkeley.edu\/~yonah\/files\/Linear%20Algebra.pdf <\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"7055624\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : OutOfMemery <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>  <\/span> <\/div>\n<\/p><\/div>\n<div> @qq8331199 #2 \u554a\u8fd9&#8230;.\u89c6\u9891\u5df2\u7ecf\u6ca1\u4e86&#8230;. <\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"7055625\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : o00O00o <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>  <\/span> <\/div>\n<\/p><\/div>\n<div> \u5b66\u827a\u4e0d\u7cbe\uff0c\u8bb2\u8bb2\u6211\u7684\u770b\u6cd5\u3002<br \/>1. \u662f\u53ef\u4ee5\u8fd9\u6837\u7406\u89e3\u7684\uff0c\u77e9\u9635\u7531\u5411\u91cf\u7ec4\u6210\uff0c\u884c\u5217\u5f0f\u5bf9\u5e94\u7684\u5219\u662f\u65b9\u9635\uff0c\u56e0\u4e3a\u7ebf\u4ee3\u662f\u9ad8\u5ea6\u62bd\u8c61\u7684\uff0c\u5728\u51e0\u4f55\u4e2d\u7684\u610f\u4e49\u77e9\u9635\u662f\u4ee3\u8868\u4e86\u7ebf\u6027\u53d8\u6362\uff0c\u5373\u4ee3\u8868\u7531\u4e00\u4e2a\u5750\u6807\u7cfb\u53d8\u6362\u6210\u4e3a\u53e6\u5916\u4e00\u4e2a\u5750\u6807\u7cfb\u8fc7\u7a0b\uff1b\u800c\u884c\u5217\u5f0f\u4ee3\u8868\u53d8\u6362\u8fc7\u7a0b\u4e2d\u5355\u4f4d\u9762\u79ef\u88ab\u62c9\u4f38\u6216\u7f29\u653e\u7684\u7a0b\u5ea6\u3002<br \/>2. \u540c#2 \u8bf4\u6cd5\u4e00\u6837\u3002\u5411\u91cf\u4e4b\u95f4\u7684\u70b9\u4e58\u5728\u51e0\u4f55\u4e2d\u662f\u4e00\u4e2a\u5411\u91cf\u6295\u5f71\u5230\u53e6\u5916\u4e00\u4e2a\u5411\u91cf\u4e0a\u6570\u91cf\u4e0a\u7684\u4e58\u79ef\u3002<br \/>4. \u77e9\u9635\u76f8\u4e58\u4e0a\u9762\u4ee3\u7801\u672c\u8d28\u4e0a\u53ea\u662f\u7b97\u5f0f\u7684\u8ba1\u7b97\uff0c\u4f60\u53ef\u4ee5\u5728 B \u7ad9\u641c 3Blue1Brown:\u201c\u7ebf\u6027\u4ee3\u6570\u7684\u672c\u8d28\u201d\u91cc\u9762\u7684\u77e9\u9635\u7684\u8ba1\u7b97\u65b9\u6cd5\u548c\u6211\u4eec\u4e0d\u592a\u4e00\u6837\uff0c\u4f46\u7ed3\u679c\u76f8\u540c\u3002\u8fd9\u597d\u6bd4\u5c0f\u65f6\u5019\u6211\u4eec\u5b66\u7684\u4e58\u6cd5\u7ad6\u5f0f\uff0c\u6211\u4eec\u8ba1\u7b97\u4e58\u6cd5\u7684\u65b9\u6cd5\u548c\u5370\u5ea6\u4e58\u6cd5\u7ad6\u5f0f\u8ba1\u7b97\u65b9\u6cd5\u4e0d\u540c\uff0c\u8fd9\u6211\u60f3\u6765\u5e94\u8be5\u662f\u4ece\u4e0d\u540c\u7684\u89d2\u5ea6\u6765\u7406\u89e3\u3002<br \/>\u8fd8\u662f\u5efa\u8bae\u591a\u770b\u51e0\u904d B \u7ad9\u4e0a 3Blue1Brown:\u201c\u7ebf\u6027\u4ee3\u6570\u7684\u672c\u8d28\u201d\u7cfb\u5217\uff0c\u4ed6\u662f\u4ece\u51e0\u4f55\u7684\u89d2\u5ea6\u6765\u770b\uff0c\u66f4\u76f4\u89c2\u5bb9\u6613\u7406\u89e3\uff0c\u6211\u6bcf\u6b21\u770b\u90fd\u6709\u65b0\u7684\u4f53\u4f1a\u3002 <\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"7055626\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : zhaofish <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>  <\/span> <\/div>\n<\/p><\/div>\n<div> \u95ee\u9898 1\uff1a\u77e9\u9635\u662f m*n \uff0c\u5411\u91cf\u662f k \u7ef4\u7684\uff0c\u7c7b\u4f3c 1*k \uff0c\u5982\u6b64\u770b\u6765\uff0c\u8ba4\u4e3a\u77e9\u9635\u7531\u5411\u91cf\u7ec4\u6210\uff0c\u8fd9\u4e2a\u8bf4\u6cd5\u6ca1\u9519\u5427\uff1f\u6211\u8fd8\u8bb0\u5f97\u4e0a\u5b66\u7684\u65f6\u5019\u8fd8\u6709\u4e2a\u53eb\u884c\u5217\u5f0f\u7684\u4e1c\u897f\uff0c\u8fd9\u4e2a\u53c8\u662f\u4ec0\u4e48\uff1f<br \/>\u2014\u2014\u77e9\u9635\u53ef\u4ee5\u8ba4\u4e3a\u662f\u5411\u91cf\u6784\u6210\u7684\uff0c\u5982\u679c\u8fd9\u6837\u7406\u89e3\uff0c\u77e9\u9635\u7531\u53ef\u4ee5\u7531\u884c\u5411\u91cf\u6784\u6210\uff0c\u53c8\u53ef\u4ee5\u7531\u5217\u5411\u91cf\u6784\u6210\u3002\u5728\u7ebf\u6027\u4ee3\u6570\u4e2d\uff0c\u77e9\u9635\u4ee3\u8868\u65b9\u7a0b\u7ec4\u7684\u53c2\u6570\u3002\u8003\u8651\u7531\u4ee5\u4e0b\u7ebf\u6027\u65b9\u7a0b\u7ec4\uff1a<br \/>a1x + b1y = c1<br \/>a2x + b2y = c2<br \/>\u90a3\u4e48 a1, b1, a2, b2 \u53ef\u4ee5\u7ec4\u6210\u4e00\u4e2a\u77e9\u9635\uff0c\u79f0\u4e3a A \u3002<br \/>\u7ebf\u6027\u4ee3\u6570\u91cc\uff0c\u8981\u89e3\u51b3\u7684\u95ee\u9898\u662f\u7ebf\u6027\u65b9\u7a0b\u7ec4\u662f\u5426\u6709\u89e3\uff0c\u7ebf\u6027\u65b9\u7a0b\u7ec4\u7684\u89e3\u662f\u4ec0\u4e48\u3002\u6240\u4ee5\u4f1a\u7814\u7a76\u77e9\u9635 A \u7684\u6027\u8d28\u3001\u64cd\u4f5c\uff0c\u5176\u4e2d\u77e9\u9635\u7684\u64cd\u4f5c\u5305\u62ec\u6d88\u5143\u3001\u8f6c\u7f6e\u3001\u6c42\u9006\u7b49\u3002<br \/>\u95ee\u9898 2\uff1a\u6211\u8bb0\u5f97\u6709\u70b9\u4e58\u548c\u53c9\u4e58\u7684\u533a\u522b\uff0c\u5982\u4e0b\u8fd9\u5f20\u56fe\u4ee3\u8868\u7684\u662f\u70b9\u4e58\u8fd8\u662f\u53c9\u4e58\u7684\u8ba1\u7b97\u65b9\u6cd5\uff0c\u8fd8\u662f\u4ec0\u4e48\u5176\u4ed6\u7684\u522b\u7684\uff1f <br \/>\u2014\u2014\u5411\u91cf\u6709\u70b9\u4e58\u548c\u53c9\u4e58\uff0c\u4f8b\u5982\u5411\u91cf a=[a1 a2], b=[b1 b2]\uff0ca \u4e0e b \u7684\u70b9\u4e58= a1*b1 + a2*b2 \uff0c\u53ef\u4ee5\u770b\u5230\u70b9\u4e58\u7684\u7ed3\u679c\u662f\u4e00\u4e2a\u5e38\u6570\u3002\u70b9\u4e58\u4e0e\u53c9\u4e58\u8fd9\u4e9b\u5185\u5bb9\u5728\u89e3\u6790\u51e0\u4f55\u4e2d\u4f7f\u7528\u5f97\u66f4\u591a\u4e00\u4e9b\u3002<br \/>\u95ee\u9898 4\uff1a\u2014\u2014\u8fd9\u4e2a\u662f numpy \u7684\u95ee\u9898\uff0c\u4f60\u53ef\u4ee5\u67e5\u770b dot \u51fd\u6570\u7684\u8bf4\u660e\uff1a https:\/\/numpy.org\/doc\/stable\/reference\/generated\/numpy.dot.html \u3002\u4e00\u7ef4\u6570\u7ec4\u7684\u76f8\u4e58\u662f\u5411\u91cf\u7684\u70b9\u4e58\uff0c\u4e8c\u7ef4\u6570\u7ec4\u662f\u77e9\u9635\u4e58\u6cd5\uff0c\u5982\u679c\u662f\u4e24\u4e2a\u5e38\u6570\u6267\u884c\u7684\u662f\u5e38\u6570\u7684\u4e58\u6cd5\u3002<br \/>\u95ee\u9898 5\uff1a\u77e9\u9635\u4e2d\u6328\u4e2a\u4f4d\u7f6e\u76f4\u63a5\u76f8\u4e58\uff0c\u6bd4\u5982 2*2 \u77e9\u9635 1,2,3,4 \u548c 5,6,7,8 \u76f8\u4e58\uff0c\u5f97\u5230 5,12,21,32 \u7684\u8bdd\uff0c\u8fd9\u79cd\u8ba1\u7b97\u89c4\u5219\u662f\u53eb\u4ec0\u4e48\uff1f<br \/>\u2014\u2014 \u8fd9\u79cd\u5c31\u662f\u4ee3\u7801\u4e2d\u4e3a\u4e86\u8ba1\u7b97\u65b9\u4fbf\u5427\uff0c\u4e5f\u8bb8\u6709\u4e13\u4e1a\u7684\u5b66\u540d\uff0c\u4f46\u662f\u4e0d\u5c5e\u4e8e\u7ebf\u6027\u4ee3\u6570\u4e13\u6709\u7684\u8ba1\u7b97\u3002\u7ebf\u6027\u4ee3\u6570\u4e2d\u5b9a\u4e49\u4e86\u77e9\u9635\u4e58\u6cd5\u7684\u89c4\u5219\uff0c\u5176\u4e2d\u5e76\u4e0d\u5305\u542b\u4e0a\u9762\u7684\u8fd9\u79cd\u8ba1\u7b97\u6cd5\u5219\u3002<br \/>\u5173\u4e8e\u7ebf\u6027\u4ee3\u6570\u66f4\u591a\u7684\u5185\u5bb9\uff0c\u53ef\u4ee5\u770b\u770b MIT \u7684\u516c\u5f00\u8bfe\uff1a https:\/\/www.bilibili.com\/video\/BV1zx411g7gq?p=1 <\/div>\n<\/p><\/div>\n<\/li>\n<li data-pid=\"7055627\" data-uid=\"2\">\n<div>\n<div>\n<div> <span>\u8cc7\u6df1\u5927\u4f6c : qq8331199 <\/span>  <\/div>\n<div> <i title=\"\u5f15\u7528\"><\/i>  <span>  <\/span> <\/div>\n<\/p><\/div>\n<div> @OutOfMemery https:\/\/www.bilibili.com\/video\/BV1ys411472E?share_source=copy_web <\/div>\n<\/p><\/div>\n<\/li>\n<li>\n","protected":false},"excerpt":{"rendered":"<p>\u8be2\u95ee\u4e00\u4e9b\u5165\u95e8\u7ea7\u7684\u7ebf\u6027\u4ee3\u6570\u77e5\u8bc6\uff0c\u6c42\u89e3&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[],"tags":[],"_links":{"self":[{"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts\/554306"}],"collection":[{"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=554306"}],"version-history":[{"count":0,"href":"http:\/\/4563.org\/index.php?rest_route=\/wp\/v2\/posts\/554306\/revisions"}],"wp:attachment":[{"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=554306"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=554306"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/4563.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=554306"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}