{"id":1110,"date":"2023-07-27T15:21:30","date_gmt":"2023-07-27T15:21:30","guid":{"rendered":"https:\/\/statorials.org\/my\/cosine-%e1%80%86%e1%80%84%e1%80%ba%e1%80%90%e1%80%b0%e1%80%9a%e1%80%ad%e1%80%af%e1%80%b8%e1%80%99%e1%80%be%e1%80%ac%e1%80%b8-r\/"},"modified":"2023-07-27T15:21:30","modified_gmt":"2023-07-27T15:21:30","slug":"cosine-%e1%80%86%e1%80%84%e1%80%ba%e1%80%90%e1%80%b0%e1%80%9a%e1%80%ad%e1%80%af%e1%80%b8%e1%80%99%e1%80%be%e1%80%ac%e1%80%b8-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/cosine-%e1%80%86%e1%80%84%e1%80%ba%e1%80%90%e1%80%b0%e1%80%9a%e1%80%ad%e1%80%af%e1%80%b8%e1%80%99%e1%80%be%e1%80%ac%e1%80%b8-r\/","title":{"rendered":"R \u1010\u103d\u1004\u103a cosine \u1010\u1030\u100a\u102e\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1014\u100a\u103a\u1038"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Cosine \u1010\u1030\u100a\u102e\u1019\u103e\u102f<\/strong> \u101e\u100a\u103a \u1021\u1010\u103d\u1004\u103a\u1038\u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a\u1010\u1005\u103a\u1001\u102f\u104f \u1000\u103d\u1000\u103a\u101c\u1015\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1010\u1030\u100a\u102e\u1019\u103e\u102f\u1021\u102c\u1038 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\">Vector \u1014\u103e\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u1031\u102c A \u1014\u103e\u1004\u1037\u103a B \u1021\u1010\u103d\u1000\u103a \u1000\u102d\u102fsine \u1006\u1004\u103a\u1010\u1030\u101a\u102d\u102f\u1038\u1019\u103e\u102c\u1038\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u1000\u102d\u102fsine \u1006\u1004\u103a\u1010\u1030\u101a\u102d\u102f\u1038\u1019\u103e\u102c\u1038<\/strong> = \u03a3A <sub>i<\/sub> B <sub>i<\/sub> \/ (\u221a\u03a3A <sub>i<\/sub> <sup>2<\/sup> \u221a\u03a3B <sub>i<\/sub> <sup>2<\/sup> )<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a <strong>lsa<\/strong> \u1005\u102c\u1000\u103c\u100a\u1037\u103a\u1010\u102d\u102f\u1000\u103a\u1019\u103e <strong>cosine()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d R \u101b\u103e\u102d vector \u1019\u103b\u102c\u1038\u1021\u1000\u103c\u102c\u1038 cosine \u1006\u1004\u103a\u1010\u1030\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>R \u1010\u103d\u1004\u103a vector \u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a cosine \u1006\u1004\u103a\u1010\u1030\u101e\u100a\u103a\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a R \u1010\u103d\u1004\u103a vector \u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038 cosine \u1006\u1004\u103a\u1010\u1030\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #000000;\"><span style=\"color: #107d3f;\"><span style=\"color: #993300;\">library<\/span> <span style=\"color: #000000;\">(lsa)<\/span>\n<\/span><\/span>\n<span style=\"color: #008080;\">#definevectors\n<\/span>a &lt;- c(23, 34, 44, 45, 42, 27, 33, 34)\nb &lt;- c(17, 18, 22, 26, 26, 29, 31, 30)\n\n<span style=\"color: #008080;\">#calculate Cosine Similarity\n<\/span>cosine(a, b)\n\n         [,1]\n[1,] 0.965195\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">vector \u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a cosine \u1010\u1030\u100a\u102e\u1019\u103e\u102f\u101e\u100a\u103a <strong>0.965195<\/strong> \u1016\u103c\u1005\u103a\u101e\u103d\u102c\u1038\u101e\u100a\u103a\u104b<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>R \u1010\u103d\u1004\u103a matrix \u1010\u1005\u103a\u1001\u102f\u104f cosine \u1006\u1004\u103a\u1010\u1030\u101e\u100a\u103a\u104b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a vectors \u1019\u103b\u102c\u1038\u104f matrix \u1010\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038 cosine \u1006\u1004\u103a\u1010\u1030\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u1015\u103c\u101e\u100a\u103a-<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #000000;\"><span style=\"color: #107d3f;\"><span style=\"color: #993300;\">library<\/span> <span style=\"color: #000000;\">(lsa)\n<\/span><\/span><\/span>\n<span style=\"color: #008080;\">#define matrix\n<\/span>a &lt;- c(23, 34, 44, 45, 42, 27, 33, 34)\nb &lt;- c(17, 18, 22, 26, 26, 29, 31, 30)\nc &lt;- c(34, 35, 35, 36, 51, 29, 30, 31)\n\ndata &lt;- cbind(a, b, c)\n\n<span style=\"color: #008080;\">#calculate Cosine Similarity\n<\/span>cosine(data)\n\n          ABC\na 1.0000000 0.9651950 0.9812406\nb 0.9651950 1.0000000 0.9573478\nc 0.9812406 0.9573478 1.0000000\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">\u1024\u101e\u100a\u103a\u1019\u103e\u102c \u101b\u101c\u1012\u103a\u1000\u102d\u102f \u1019\u100a\u103a\u101e\u102d\u102f\u1037\u1021\u1013\u102d\u1015\u1039\u1015\u102c\u101a\u103a\u1016\u103d\u1004\u1037\u103a\u1006\u102d\u102f\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a-<\/span><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">vector <em>a<\/em> \u1014\u103e\u1004\u1037\u103a <em>b<\/em> \u1021\u1000\u103c\u102c\u1038 cosine \u1006\u1004\u103a\u1010\u1030\u1019\u103e\u102f\u101e\u100a\u103a <strong>0.9651950<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">vector <em>a<\/em> \u1014\u103e\u1004\u1037\u103a <em>c<\/em> \u1021\u1000\u103c\u102c\u1038 cosine \u1006\u1004\u103a\u1010\u1030\u1019\u103e\u102f\u101e\u100a\u103a <strong>0.9812406<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<li> <span style=\"color: #000000;\">vector <em>b<\/em> \u1014\u103e\u1004\u1037\u103a <em>c<\/em> \u1021\u1000\u103c\u102c\u1038 cosine \u1006\u1004\u103a\u1010\u1030\u1019\u103e\u102f\u101e\u100a\u103a <strong>0.9573478<\/strong> \u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>\u1019\u103e\u1010\u103a\u1001\u103b\u1000\u103a\u1019\u103b\u102c\u1038<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> <strong>cosine()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u1019\u100a\u103a\u101e\u100a\u1037\u103a\u1021\u101b\u103d\u101a\u103a\u1021\u1005\u102c\u1038\u104f \u1005\u1010\u102f\u101b\u1014\u103a\u1038\u1019\u1000\u103a\u1011\u101b\u1005\u103a\u1016\u103c\u1004\u1037\u103a \u1021\u101c\u102f\u1015\u103a\u101c\u102f\u1015\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> <strong>cosine()<\/strong> function \u101e\u100a\u103a matrix \u1010\u1005\u103a\u1001\u102f\u1015\u1031\u102b\u103a\u1010\u103d\u1004\u103a \u1021\u101c\u102f\u1015\u103a\u101c\u102f\u1015\u103a\u1019\u100a\u103a\u1016\u103c\u1005\u103a\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 data frame \u1010\u1005\u103a\u1001\u102f\u1015\u1031\u102b\u103a\u1010\u103d\u1004\u103a <em>\u1019\u101f\u102f\u1010\u103a\u1015\u102b<\/em> \u104b \u101e\u102d\u102f\u1037\u101e\u1031\u102c\u103a\u101c\u100a\u103a\u1038 <strong>as.matrix()<\/strong> \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d \u1012\u1031\u1010\u102c\u1018\u1031\u102c\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1021\u102c\u1038 R \u101b\u103e\u102d \u1019\u1000\u103a\u1011\u101b\u1005\u103a\u1021\u1016\u103c\u1005\u103a\u101e\u102d\u102f\u1037 \u1021\u101c\u103d\u101a\u103a\u1010\u1000\u1030 \u1015\u103c\u1031\u102c\u1004\u103a\u1038\u1014\u102d\u102f\u1004\u103a\u101e\u100a\u103a\u104b<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> cosine \u1010\u1030\u100a\u102e\u1019\u103e\u102f\u1021\u1000\u103c\u1031\u102c\u1004\u103a\u1038 \u1015\u102d\u102f\u1019\u102d\u102f\u101c\u1031\u1037\u101c\u102c\u101b\u1014\u103a<a href=\"https:\/\/en.wikipedia.org\/wiki\/Cosine_similarity\" target=\"_blank\" rel=\"noopener noreferrer\">\u1024 Wikipedia \u1005\u102c\u1019\u103b\u1000\u103a\u1014\u103e\u102c<\/a> \u1000\u102d\u102f \u1000\u102d\u102f\u1038\u1000\u102c\u1038\u1015\u102b\u104b<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Cosine \u1010\u1030\u100a\u102e\u1019\u103e\u102f \u101e\u100a\u103a \u1021\u1010\u103d\u1004\u103a\u1038\u1011\u102f\u1010\u103a\u1000\u102f\u1014\u103a\u1010\u1005\u103a\u1001\u102f\u104f \u1000\u103d\u1000\u103a\u101c\u1015\u103a\u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u101b\u103e\u102d \u1010\u1030\u100a\u102e\u1019\u103e\u102f\u1021\u102c\u1038 \u1010\u102d\u102f\u1004\u103a\u1038\u1010\u102c\u1019\u103e\u102f\u1010\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u100a\u103a\u104b Vector \u1014\u103e\u1005\u103a\u1001\u102f\u1016\u103c\u1005\u103a\u101e\u1031\u102c A \u1014\u103e\u1004\u1037\u103a B \u1021\u1010\u103d\u1000\u103a \u1000\u102d\u102fsine \u1006\u1004\u103a\u1010\u1030\u101a\u102d\u102f\u1038\u1019\u103e\u102c\u1038\u1000\u102d\u102f \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1010\u102d\u102f\u1004\u103a\u1038 \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101e\u100a\u103a \u104b \u1000\u102d\u102fsine \u1006\u1004\u103a\u1010\u1030\u101a\u102d\u102f\u1038\u1019\u103e\u102c\u1038 = \u03a3A i B i \/ (\u221a\u03a3A i 2 \u221a\u03a3B i 2 ) \u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u101e\u100a\u103a lsa \u1005\u102c\u1000\u103c\u100a\u1037\u103a\u1010\u102d\u102f\u1000\u103a\u1019\u103e cosine() \u101c\u102f\u1015\u103a\u1006\u1031\u102c\u1004\u103a\u1001\u103b\u1000\u103a\u1000\u102d\u102f \u1021\u101e\u102f\u1036\u1038\u1015\u103c\u102f\u104d R \u101b\u103e\u102d vector \u1019\u103b\u102c\u1038\u1021\u1000\u103c\u102c\u1038 cosine \u1006\u1004\u103a\u1010\u1030\u1019\u103e\u102f\u1019\u103b\u102c\u1038\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f \u101b\u103e\u1004\u103a\u1038\u1015\u103c\u1011\u102c\u1038\u101e\u100a\u103a\u104b R \u1010\u103d\u1004\u103a vector \u1014\u103e\u1005\u103a\u1001\u102f\u1000\u103c\u102c\u1038\u1010\u103d\u1004\u103a cosine \u1006\u1004\u103a\u1010\u1030\u101e\u100a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1000\u102f\u1012\u103a\u101e\u100a\u103a R [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>R - Statology \u1010\u103d\u1004\u103a cosine \u1010\u1030\u100a\u102e\u1019\u103e\u102f\u1000\u102d\u102f \u1010\u103d\u1000\u103a\u1014\u100a\u103a\u1038<\/title>\n<meta name=\"description\" content=\"\u1024\u101e\u1004\u103a\u1001\u1014\u103a\u1038\u1005\u102c\u1010\u103d\u1004\u103a \u1025\u1015\u1019\u102c\u1019\u103b\u102c\u1038\u1005\u103d\u102c\u1016\u103c\u1004\u1037\u103a R \u1010\u103d\u1004\u103a \u1021\u101c\u102c\u1038\u1010\u1030\u1014\u100a\u103a\u1038\u1016\u103c\u1004\u1037\u103a cosine \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u1014\u100a\u103a\u1038\u1000\u102d\u102f 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