{"id":2711,"date":"2023-07-21T01:48:22","date_gmt":"2023-07-21T01:48:22","guid":{"rendered":"https:\/\/statorials.org\/cn\/r-%e4%b8%ad%e7%9a%84%e4%b9%98%e7%a7%af%e4%ba%a4%e5%8f%89\/"},"modified":"2023-07-21T01:48:22","modified_gmt":"2023-07-21T01:48:22","slug":"r-%e4%b8%ad%e7%9a%84%e4%b9%98%e7%a7%af%e4%ba%a4%e5%8f%89","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/r-%e4%b8%ad%e7%9a%84%e4%b9%98%e7%a7%af%e4%ba%a4%e5%8f%89\/","title":{"rendered":"\u5982\u4f55\u5728 r \u4e2d\u8ba1\u7b97\u53c9\u79ef"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u6709\u5305\u542b\u5143\u7d20 (A <sub>1<\/sub> , A <sub>2<\/sub> , A <sub>3<\/sub> ) \u7684\u5411\u91cf A \u548c\u5305\u542b\u5143\u7d20 (B <sub>1<\/sub> , B <sub>2<\/sub> , B <sub>3<\/sub> ) \u7684\u5411\u91cf B \uff0c\u6211\u4eec\u53ef\u4ee5\u8ba1\u7b97\u8fd9\u4e24\u4e2a\u5411\u91cf\u7684\u53c9\u79ef\uff0c\u5982\u4e0b\u6240\u793a\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u53c9\u79ef<\/strong>= [(A <sub>2<\/sub> *B <sub>3<\/sub> ) \u2013 (A <sub>3<\/sub> *B <sub>2<\/sub> ), (A <sub>3<\/sub> *B <sub>1<\/sub> ) \u2013 (A <sub>1<\/sub> *B <sub>3<\/sub> ), (A <sub>1<\/sub> *B <sub>2<\/sub> ) \u2013 (A <sub>2<\/sub> *B <sub>1<\/sub> )]<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe\u6211\u4eec\u6709\u4ee5\u4e0b\u5411\u91cf\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u5411\u91cf A\uff1a(1,2,3)<\/span><\/li>\n<li><span style=\"color: #000000;\">\u5411\u91cf B\uff1a(4,5,6)<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u8ba1\u7b97\u8fd9\u4e9b\u5411\u91cf\u7684\u53c9\u79ef\u5982\u4e0b\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u53c9\u79ef = [(A <sub>2<\/sub> *B <sub>3<\/sub> ) \u2013 (A <sub>3<\/sub> *B <sub>2<\/sub> ), (A <sub>3<\/sub> *B <sub>1<\/sub> ) \u2013 (A <sub>1<\/sub> *B <sub>3<\/sub> ), (A <sub>1<\/sub> *B <sub>2<\/sub> ) \u2013 (A <sub>2<\/sub> *B <sub>1<\/sub> )]<\/span><\/li>\n<li><span style=\"color: #000000;\">\u53c9\u79ef = [(2*6) \u2013 (3*5), (3*4) \u2013 (1*6), (1*5) \u2013 (2*4)]<\/span><\/li>\n<li><span style=\"color: #000000;\">\u53c9\u79ef = (-3, 6, -3)<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u60a8\u53ef\u4ee5\u4f7f\u7528\u4e24\u79cd\u65b9\u6cd5\u4e4b\u4e00\u6765\u8ba1\u7b97 R \u4e2d\u4e24\u4e2a\u5411\u91cf\u7684\u53c9\u79ef\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u65b9\u6cd5\u4e00\uff1a\u4f7f\u7528pracma\u5305\u7684cross()\u51fd\u6570<\/strong><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">library<\/span> (pracma)\n  \n<span style=\"color: #008080;\">#calculate cross product of vectors A and B\n<\/span>cross(A, B)\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\"><strong>\u65b9\u6cd52\uff1a\u5b9a\u4e49\u81ea\u5df1\u7684\u51fd\u6570<\/strong><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define function to calculate cross product<\/span> \ncross &lt;- <span style=\"color: #008000;\">function<\/span> (x, y, i=1:3) {\n  create3D &lt;- <span style=\"color: #008000;\">function<\/span> (x) <span style=\"color: #3366ff;\">head<\/span> (c(x, <span style=\"color: #3366ff;\">rep<\/span> (0, 3)), 3)\n  x &lt;- create3D(x)\n  y &lt;- create3D(y)\n  j &lt;- <span style=\"color: #008000;\">function<\/span> (i) (i-1) <span style=\"color: #800080;\">%%<\/span> 3+1\n  <span style=\"color: #008000;\">return<\/span> (x[j(i+1)]*y[j(i+2)] - x[j(i+2)]*y[j(i+1)])\n}\n\n<span style=\"color: #008080;\">#calculate cross product\n<\/span>cross(A, B)<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u5c55\u793a\u4e86\u5982\u4f55\u5728\u5b9e\u8df5\u4e2d\u4f7f\u7528\u6bcf\u79cd\u65b9\u6cd5\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b 1\uff1a\u4f7f\u7528 pracma \u5305\u7684 cross() \u51fd\u6570<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u663e\u793a\u5982\u4f55\u4f7f\u7528<a href=\"https:\/\/cran.r-project.org\/web\/packages\/pracma\/index.html\" target=\"_blank\" rel=\"noopener\">pracma<\/a>\u5305\u4e2d\u7684<strong>cross()<\/strong>\u51fd\u6570\u6765\u8ba1\u7b97\u4e24\u4e2a\u5411\u91cf\u4e4b\u95f4\u7684\u53c9\u79ef\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">library<\/span> (pracma)\n  \n<span style=\"color: #008080;\">#definevectors\n<\/span>A &lt;- c(1, 2, 3)\nB &lt;- c(4, 5, 6)\n  \n<span style=\"color: #008080;\">#calculate cross product\n<\/span>cross(A, B)\n\n[1] -3 6 -3\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u53c9\u79ef\u7ed3\u679c\u4e3a<strong>(-3, 6, -3)<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u5bf9\u5e94\u4e8e\u6211\u4eec\u4e4b\u524d\u624b\u52a8\u8ba1\u7b97\u7684\u53c9\u79ef\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b 2\uff1a\u5b9a\u4e49\u81ea\u5df1\u7684\u51fd\u6570<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u4ee3\u7801\u663e\u793a\u5982\u4f55\u5b9a\u4e49\u81ea\u5df1\u7684\u51fd\u6570\u6765\u8ba1\u7b97\u4e24\u4e2a\u5411\u91cf\u4e4b\u95f4\u7684\u53c9\u79ef\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define function to calculate cross product<\/span> \ncross &lt;- <span style=\"color: #008000;\">function<\/span> (x, y, i=1:3) {\n  create3D &lt;- <span style=\"color: #008000;\">function<\/span> (x) <span style=\"color: #3366ff;\">head<\/span> (c(x, <span style=\"color: #3366ff;\">rep<\/span> (0, 3)), 3)\n  x &lt;- create3D(x)\n  y &lt;- create3D(y)\n  j &lt;- <span style=\"color: #008000;\">function<\/span> (i) (i-1) <span style=\"color: #800080;\">%%<\/span> 3+1\n  <span style=\"color: #008000;\">return<\/span> (x[j(i+1)]*y[j(i+2)] - x[j(i+2)]*y[j(i+1)])\n}\n\n<span style=\"color: #008080;\">#definevectors\n<\/span>A &lt;- c(1, 2, 3)\nB &lt;- c(4, 5, 6)\n\n<span style=\"color: #008080;\">#calculate cross product\n<\/span>cross(A, B)\n\n[1] -3 6 -3\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u53c9\u79ef\u7ed3\u679c\u4e3a<strong>(-3, 6, -3)<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u5bf9\u5e94\u4e8e\u6211\u4eec\u5728\u524d\u9762\u7684\u793a\u4f8b\u4e2d\u8ba1\u7b97\u7684\u53c9\u79ef\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u6559\u7a0b\u89e3\u91ca\u4e86\u5982\u4f55\u5728 R \u4e2d\u6267\u884c\u5176\u4ed6\u5e38\u89c1\u4efb\u52a1\uff1a<\/span><\/p>\n<p><a href=\"https:\/\/statorials.org\/cn\/r-\u4e2d\u7684\u70b9\u79ef\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u8ba1\u7b97R\u4e2d\u7684\u70b9\u79ef<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/r-\u4e2d\u7684\u5355\u4f4d\u77e9\u9635\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 R \u4e2d\u521b\u5efa\u5355\u4f4d\u77e9\u9635<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u5728r\u4e2d\u521b\u5efa\u4e00\u4e2a\u7a7a\u77e9\u9635\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 R \u4e2d\u521b\u5efa\u7a7a\u77e9\u9635<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5047\u8bbe\u6211\u4eec\u6709\u5305\u542b\u5143\u7d20 (A 1 , A 2 , A 3 ) \u7684\u5411\u91cf A \u548c\u5305\u542b\u5143\u7d20 (B 1 , B 2 , B [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-2711","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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