{"id":464,"date":"2023-07-29T19:40:31","date_gmt":"2023-07-29T19:40:31","guid":{"rendered":"https:\/\/statorials.org\/uk\/%d0%bf%d0%be%d1%81%d1%96%d0%b1%d0%bd%d0%b8%d0%ba-%d1%96%d0%b7-%d0%b7%d0%b0%d1%81%d1%82%d0%be%d1%81%d1%83%d0%b2%d0%b0%d0%bd%d0%bd%d1%8f-lapply-sapply-%d1%96-tapply-%d0%b2-r\/"},"modified":"2023-07-29T19:40:31","modified_gmt":"2023-07-29T19:40:31","slug":"%d0%bf%d0%be%d1%81%d1%96%d0%b1%d0%bd%d0%b8%d0%ba-%d1%96%d0%b7-%d0%b7%d0%b0%d1%81%d1%82%d0%be%d1%81%d1%83%d0%b2%d0%b0%d0%bd%d0%bd%d1%8f-lapply-sapply-%d1%96-tapply-%d0%b2-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/uk\/%d0%bf%d0%be%d1%81%d1%96%d0%b1%d0%bd%d0%b8%d0%ba-%d1%96%d0%b7-%d0%b7%d0%b0%d1%81%d1%82%d0%be%d1%81%d1%83%d0%b2%d0%b0%d0%bd%d0%bd%d1%8f-lapply-sapply-%d1%96-tapply-%d0%b2-r\/","title":{"rendered":"\u041f\u043e\u0441\u0456\u0431\u043d\u0438\u043a \u0456\u0437 apply(), lapply(), sapply() \u0456 tapply() \u0443 r"},"content":{"rendered":"

<\/p>\n

\n

\u0426\u0435\u0439 \u043f\u043e\u0441\u0456\u0431\u043d\u0438\u043a \u043f\u043e\u044f\u0441\u043d\u044e\u0454 \u0432\u0456\u0434\u043c\u0456\u043d\u043d\u043e\u0441\u0442\u0456 \u043c\u0456\u0436 \u0432\u0431\u0443\u0434\u043e\u0432\u0430\u043d\u0438\u043c\u0438 \u0444\u0443\u043d\u043a\u0446\u0456\u044f\u043c\u0438 R apply()<\/strong> , sapply()<\/strong> , lapply()<\/strong> \u0456 tapply()<\/strong> , \u0430 \u0442\u0430\u043a\u043e\u0436 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0438 \u0442\u043e\u0433\u043e, \u043a\u043e\u043b\u0438 \u0442\u0430 \u044f\u043a \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u043a\u043e\u0436\u043d\u0443 \u0444\u0443\u043d\u043a\u0446\u0456\u044e.<\/span><\/p>\n

\u0437\u0430\u0441\u0442\u043e\u0441\u043e\u0432\u0443\u0432\u0430\u0442\u0438()<\/strong><\/span><\/h2>\n

\u0412\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0439\u0442\u0435 \u0444\u0443\u043d\u043a\u0446\u0456\u044e apply()<\/strong> , \u044f\u043a\u0449\u043e \u043f\u043e\u0442\u0440\u0456\u0431\u043d\u043e \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u0442\u0438 \u0444\u0443\u043d\u043a\u0446\u0456\u044e \u0434\u043e \u0440\u044f\u0434\u043a\u0456\u0432 \u0430\u0431\u043e \u0441\u0442\u043e\u0432\u043f\u0446\u0456\u0432 \u043c\u0430\u0442\u0440\u0438\u0446\u0456 \u0430\u0431\u043e \u043a\u0430\u0434\u0440\u0443 \u0434\u0430\u043d\u0438\u0445.<\/span><\/p>\n

\u041e\u0441\u043d\u043e\u0432\u043d\u0438\u0439 \u0441\u0438\u043d\u0442\u0430\u043a\u0441\u0438\u0441 \u0444\u0443\u043d\u043a\u0446\u0456\u0457 apply() \u0442\u0430\u043a\u0438\u0439:<\/span><\/p>\n

\u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u0442\u0438 (X, MARGIN, FUN)<\/strong><\/span><\/p>\n

    \n
  • X – \u0456\u043c’\u044f \u043c\u0430\u0441\u0438\u0432\u0443 \u0430\u0431\u043e \u0431\u043b\u043e\u043a\u0443 \u0434\u0430\u043d\u0438\u0445<\/span><\/li>\n
  • MARGIN \u0432\u043a\u0430\u0437\u0443\u0454, \u043d\u0430 \u044f\u043a\u043e\u043c\u0443 \u0432\u0438\u043c\u0456\u0440\u0456 \u0432\u0438\u043a\u043e\u043d\u0443\u0432\u0430\u0442\u0438 \u043e\u043f\u0435\u0440\u0430\u0446\u0456\u044e (1 = \u0440\u044f\u0434\u043e\u043a, 2 = \u0441\u0442\u043e\u0432\u043f\u0435\u0446\u044c)<\/span><\/li>\n
  • FUN \u2014 \u0446\u0435 \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u0430 \u043e\u043f\u0435\u0440\u0430\u0446\u0456\u044f, \u044f\u043a\u0443 \u0432\u0438 \u0445\u043e\u0447\u0435\u0442\u0435 \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438 (\u043d\u0430\u043f\u0440\u0438\u043a\u043b\u0430\u0434, \u043c\u0456\u043d\u0456\u043c\u0443\u043c, \u043c\u0430\u043a\u0441\u0438\u043c\u0443\u043c, \u0441\u0443\u043c\u0430, \u0441\u0435\u0440\u0435\u0434\u043d\u0454 \u0442\u043e\u0449\u043e)<\/span><\/li>\n<\/ul>\n

    \u041d\u0430\u0441\u0442\u0443\u043f\u043d\u0438\u0439 \u043a\u043e\u0434 \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0443\u0454 \u043a\u0456\u043b\u044c\u043a\u0430 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0456\u0432 apply()<\/strong> \u0443 \u0434\u0456\u0457.<\/span><\/p>\n

     #create a data frame with three columns and five rows<\/span>\ndata <- data.frame(a = c(1, 3, 7, 12, 9),\n                   b = c(4, 4, 6, 7, 8),\n                   c = c(14, 15, 11, 10, 6))\ndata\n\n#abc\n#1 1 4 14\n#2 3 4 15\n#3 7 6 11\n#4 12 7 10\n#5 9 8 6\n\n#find the sum of each row<\/span>\napply(data, 1, sum)\n\n#[1] 19 22 24 29 23\n\n#find the sum of each column<\/span>\napply(data, 2, sum)\n\n#abc\n#32 29 56 \n\n#find the mean of each row<\/span>\napply(data, 1, mean)\n\n#[1] 6.333333 7.333333 8.000000 9.666667 7.666667\n\n#find the mean of each column, rounded to one decimal place<\/span>\nround(apply(data, 2, mean), 1)\n\n#abc\n#6.4 5.8 11.2 \n\n#find the standard deviation of each row<\/span>\napply(data, 1, sd)\n\n#[1] 6.806859 6.658328 2.645751 2.516611 1.527525\n\n#find the standard deviation of each column<\/span>\napply(data, 2, sd)\n\n#abc\n#4.449719 1.788854 3.563706 \n<\/strong><\/pre>\n
     \u0437\u0430\u0441\u0442\u043e\u0441\u043e\u0432\u0443\u0432\u0430\u0442\u0438()<\/strong><\/span><\/h2>\n
     \u0412\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0439\u0442\u0435 \u0444\u0443\u043d\u043a\u0446\u0456\u044e lapply()<\/strong> , \u044f\u043a\u0449\u043e \u0432\u0438 \u0445\u043e\u0447\u0435\u0442\u0435 \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u0442\u0438 \u0444\u0443\u043d\u043a\u0446\u0456\u044e \u0434\u043e \u043a\u043e\u0436\u043d\u043e\u0433\u043e \u0435\u043b\u0435\u043c\u0435\u043d\u0442\u0430 \u0441\u043f\u0438\u0441\u043a\u0443, \u0432\u0435\u043a\u0442\u043e\u0440\u0430 \u0430\u0431\u043e \u043a\u0430\u0434\u0440\u0443 \u0434\u0430\u043d\u0438\u0445 \u0456 \u043e\u0442\u0440\u0438\u043c\u0430\u0442\u0438 \u0432 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0456 \u0441\u043f\u0438\u0441\u043e\u043a.<\/span><\/p>\n
     \u041e\u0441\u043d\u043e\u0432\u043d\u0438\u0439 \u0441\u0438\u043d\u0442\u0430\u043a\u0441\u0438\u0441 \u0444\u0443\u043d\u043a\u0446\u0456\u0457 lapply() \u0442\u0430\u043a\u0438\u0439:<\/span><\/p>\n
     lapply(X, FUN)<\/strong><\/span><\/p>\n
      \n
    •  X \u2014 \u0456\u043c’\u044f \u0441\u043f\u0438\u0441\u043a\u0443, \u0432\u0435\u043a\u0442\u043e\u0440\u0430 \u0430\u0431\u043e \u043a\u0430\u0434\u0440\u0443 \u0434\u0430\u043d\u0438\u0445<\/span><\/li>\n
    •  FUN \u2014 \u0446\u0435 \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u0430 \u043e\u043f\u0435\u0440\u0430\u0446\u0456\u044f, \u044f\u043a\u0443 \u0432\u0438 \u0445\u043e\u0447\u0435\u0442\u0435 \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438<\/span><\/li>\n<\/ul>\n
       \u041d\u0430\u0441\u0442\u0443\u043f\u043d\u0438\u0439 \u043a\u043e\u0434 \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0443\u0454 \u043a\u0456\u043b\u044c\u043a\u0430 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0456\u0432 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f lapply()<\/strong> \u0434\u043b\u044f \u0441\u0442\u043e\u0432\u043f\u0446\u0456\u0432 \u0443 \u0444\u0440\u0435\u0439\u043c\u0456 \u0434\u0430\u043d\u0438\u0445.<\/span><\/p>\n
       #create a data frame with three columns and five rows\n<\/span>data <- data.frame(a = c(1, 3, 7, 12, 9),\n                   b = c(4, 4, 6, 7, 8),\n                   c = c(14, 15, 11, 10, 6))\ndata\n\n#abc\n#1 1 4 14\n#2 3 4 15\n#3 7 6 11\n#4 12 7 10\n#5 9 8 6\n\n#find mean of each column and return results as a list<\/span>\napply(data, mean)\n\n#$a\n# [1] 6.4\n#\n# $b\n# [1] 5.8\n#\n# $c\n# [1] 11.2\n\n#multiply values in each column by 2 and return results as a list<\/span>\nlapply(data, function(data) data*2)\n\n#$a\n# [1] 2 6 14 24 18\n#\n# $b\n# [1] 8 8 12 14 16\n#\n# $c\n# [1] 28 30 22 20 12\n<\/strong><\/pre>\n
       \u041c\u0438 \u0442\u0430\u043a\u043e\u0436 \u043c\u043e\u0436\u0435\u043c\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 lapply()<\/strong> \u0434\u043b\u044f \u0432\u0438\u043a\u043e\u043d\u0430\u043d\u043d\u044f \u043e\u043f\u0435\u0440\u0430\u0446\u0456\u0439 \u0437\u0456 \u0441\u043f\u0438\u0441\u043a\u0430\u043c\u0438. \u041d\u0430\u0432\u0435\u0434\u0435\u043d\u0456 \u043d\u0438\u0436\u0447\u0435 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0438 \u043f\u043e\u043a\u0430\u0437\u0443\u044e\u0442\u044c, \u044f\u043a \u0446\u0435 \u0437\u0440\u043e\u0431\u0438\u0442\u0438.<\/span><\/p>\n
       #create a list\n<\/span>x <- list(a=1, b=1:5, c=1:10) \nx\n\n#$a\n# [1] 1\n#\n# $b\n# [1] 1 2 3 4 5\n#\n# $c\n# [1] 1 2 3 4 5 6 7 8 9 10\n\n#find the sum of each element in the list<\/span>\nlapply(x, sum)\n\n#$a\n# [1] 1\n#\n# $b\n# [1] 15\n#\n# $c\n#[1]55\n\n#find the mean of each element in the list<\/span>\nlapply(x, mean)\n\n#$a\n# [1] 1\n#\n# $b\n# [1] 3\n#\n# $c\n# [1] 5.5\n\n#multiply values of each element by 5 and return results as a list<\/span>\nlapply(x, function(x) x*5)\n\n#$a\n# [1] 5\n#\n# $b\n# [1] 5 10 15 20 25\n#\n# $c\n# [1] 5 10 15 20 25 30 35 40 45 50\n<\/strong><\/pre>\n
       \u0437\u0430\u0441\u0442\u043e\u0441\u043e\u0432\u0443\u0432\u0430\u0442\u0438()<\/strong><\/span><\/h2>\n
       \u0412\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0439\u0442\u0435 \u0444\u0443\u043d\u043a\u0446\u0456\u044e sapply()<\/strong> , \u044f\u043a\u0449\u043e \u043f\u043e\u0442\u0440\u0456\u0431\u043d\u043e \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u0442\u0438 \u0444\u0443\u043d\u043a\u0446\u0456\u044e \u0434\u043e \u043a\u043e\u0436\u043d\u043e\u0433\u043e \u0435\u043b\u0435\u043c\u0435\u043d\u0442\u0430 \u0441\u043f\u0438\u0441\u043a\u0443, \u0432\u0435\u043a\u0442\u043e\u0440\u0430 \u0430\u0431\u043e \u043a\u0430\u0434\u0440\u0443 \u0434\u0430\u043d\u0438\u0445 \u0456 \u0442\u0430\u043a\u0438\u043c \u0447\u0438\u043d\u043e\u043c \u043e\u0442\u0440\u0438\u043c\u0430\u0442\u0438 \u0432\u0435\u043a\u0442\u043e\u0440<\/strong> \u0437\u0430\u043c\u0456\u0441\u0442\u044c \u0441\u043f\u0438\u0441\u043a\u0443.<\/span><\/p>\n
       \u041e\u0441\u043d\u043e\u0432\u043d\u0438\u0439 \u0441\u0438\u043d\u0442\u0430\u043a\u0441\u0438\u0441 \u0444\u0443\u043d\u043a\u0446\u0456\u0457 sapply() \u0442\u0430\u043a\u0438\u0439:<\/span><\/p>\n
       \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u0442\u0438 (X, FUN)<\/strong><\/span><\/p>\n
        \n
      •  X \u2014 \u0456\u043c’\u044f \u0441\u043f\u0438\u0441\u043a\u0443, \u0432\u0435\u043a\u0442\u043e\u0440\u0430 \u0430\u0431\u043e \u043a\u0430\u0434\u0440\u0443 \u0434\u0430\u043d\u0438\u0445<\/span><\/li>\n
      •  FUN \u2014 \u0446\u0435 \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u0430 \u043e\u043f\u0435\u0440\u0430\u0446\u0456\u044f, \u044f\u043a\u0443 \u0432\u0438 \u0445\u043e\u0447\u0435\u0442\u0435 \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438<\/span><\/li>\n<\/ul>\n
         \u041d\u0430\u0441\u0442\u0443\u043f\u043d\u0438\u0439 \u043a\u043e\u0434 \u0434\u0435\u043c\u043e\u043d\u0441\u0442\u0440\u0443\u0454 \u043a\u0456\u043b\u044c\u043a\u0430 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0456\u0432 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f sapply()<\/strong> \u0434\u043b\u044f \u0441\u0442\u043e\u0432\u043f\u0446\u0456\u0432 \u0443 \u043a\u0430\u0434\u0440\u0456 \u0434\u0430\u043d\u0438\u0445.<\/span><\/p>\n
         #create a data frame with three columns and five rows\n<\/span>data <- data.frame(a = c(1, 3, 7, 12, 9),\n                   b = c(4, 4, 6, 7, 8),\n                   c = c(14, 15, 11, 10, 6))\ndata\n\n#abc\n#1 1 4 14\n#2 3 4 15\n#3 7 6 11\n#4 12 7 10\n#5 9 8 6\n\n#find mean of each column and return results as a vector\n<\/span>sapply(data, mean)\n\n#abc\n#6.4 5.8 11.2 \n\n#multiply values in each column by 2 and return results as a matrix\n<\/span>sapply(data, function(data) data*2)\n\n#abc\n#[1,] 2 8 28\n#[2,] 6 8 30\n#[3,] 14 12 22\n#[4,] 24 14 20\n#[5,] 18 16 12<\/strong><\/pre>\n
         \u041c\u0438 \u0442\u0430\u043a\u043e\u0436 \u043c\u043e\u0436\u0435\u043c\u043e \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 sapply()<\/strong> \u0434\u043b\u044f \u0432\u0438\u043a\u043e\u043d\u0430\u043d\u043d\u044f \u043e\u043f\u0435\u0440\u0430\u0446\u0456\u0439 \u0437\u0456 \u0441\u043f\u0438\u0441\u043a\u0430\u043c\u0438. \u041d\u0430\u0432\u0435\u0434\u0435\u043d\u0456 \u043d\u0438\u0436\u0447\u0435 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0438 \u043f\u043e\u043a\u0430\u0437\u0443\u044e\u0442\u044c, \u044f\u043a \u0446\u0435 \u0437\u0440\u043e\u0431\u0438\u0442\u0438.<\/span><\/p>\n
         #create a list\n<\/span>x <- list(a=1, b=1:5, c=1:10) \nx\n\n#$a\n# [1] 1\n#\n# $b\n# [1] 1 2 3 4 5\n#\n# $c\n# [1] 1 2 3 4 5 6 7 8 9 10\n\n#find the sum of each element in the list<\/span>\nsapply(x, sum)\n\n#abc\n#1 15 55 \n\n#find the mean of each element in the list<\/span>\nsapply(x, mean)\n\n#abc\n#1.0 3.0 5.5\n<\/strong><\/pre>\n
         \u0442\u043e\u0440\u043a\u043d\u0456\u0442\u044c\u0441\u044f()<\/strong><\/span><\/h2>\n
         \u0412\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0439\u0442\u0435 \u0444\u0443\u043d\u043a\u0446\u0456\u044e tapply()<\/strong> , \u044f\u043a\u0449\u043e \u0432\u0438 \u0445\u043e\u0447\u0435\u0442\u0435 \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u0442\u0438 \u0444\u0443\u043d\u043a\u0446\u0456\u044e \u0434\u043e \u043f\u0456\u0434\u043c\u043d\u043e\u0436\u0438\u043d \u0432\u0435\u043a\u0442\u043e\u0440\u0430, \u0430 \u043f\u0456\u0434\u043c\u043d\u043e\u0436\u0438\u043d\u0438 \u0432\u0438\u0437\u043d\u0430\u0447\u0430\u044e\u0442\u044c\u0441\u044f \u0456\u043d\u0448\u0438\u043c \u0432\u0435\u043a\u0442\u043e\u0440\u043e\u043c, \u0437\u0430\u0437\u0432\u0438\u0447\u0430\u0439 \u0444\u0430\u043a\u0442\u043e\u0440\u043e\u043c.<\/span><\/p>\n
         \u041e\u0441\u043d\u043e\u0432\u043d\u0438\u0439 \u0441\u0438\u043d\u0442\u0430\u043a\u0441\u0438\u0441 \u0444\u0443\u043d\u043a\u0446\u0456\u0457 tapply() \u0442\u0430\u043a\u0438\u0439:<\/span><\/p>\n
         \u043d\u0430\u0442\u0438\u0441\u043d\u0456\u0442\u044c (X, INDEX, FUN)<\/strong><\/span><\/p>\n
          \n
        •  X \u2014 \u0456\u043c’\u044f \u043e\u0431’\u0454\u043a\u0442\u0430, \u0437\u0430\u0437\u0432\u0438\u0447\u0430\u0439 \u0432\u0435\u043a\u0442\u043e\u0440\u0430<\/span><\/li>\n
        •  \u0406\u041d\u0414\u0415\u041a\u0421 \u2014 \u0446\u0435 \u0441\u043f\u0438\u0441\u043e\u043a \u043e\u0434\u043d\u043e\u0433\u043e \u0430\u0431\u043e \u043a\u0456\u043b\u044c\u043a\u043e\u0445 \u0444\u0430\u043a\u0442\u043e\u0440\u0456\u0432<\/span><\/li>\n
        •  FUN \u2014 \u0446\u0435 \u043a\u043e\u043d\u043a\u0440\u0435\u0442\u043d\u0430 \u043e\u043f\u0435\u0440\u0430\u0446\u0456\u044f, \u044f\u043a\u0443 \u0432\u0438 \u0445\u043e\u0447\u0435\u0442\u0435 \u0432\u0438\u043a\u043e\u043d\u0430\u0442\u0438<\/span><\/li>\n<\/ul>\n
           \u0423 \u043d\u0430\u0441\u0442\u0443\u043f\u043d\u043e\u043c\u0443 \u043a\u043e\u0434\u0456 \u043f\u043e\u043a\u0430\u0437\u0430\u043d\u043e \u043f\u0440\u0438\u043a\u043b\u0430\u0434 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f tappply()<\/strong> \u0434\u043b\u044f \u0432\u0431\u0443\u0434\u043e\u0432\u0430\u043d\u043e\u0433\u043e \u043d\u0430\u0431\u043e\u0440\u0443 \u0434\u0430\u043d\u0438\u0445 R iris .<\/em><\/strong><\/span><\/p>\n
           #view first six lines of iris<\/em> dataset<\/span>\nhead(iris)\n\n# Sepal.Length Sepal.Width Petal.Length Petal.Width Species\n#1 5.1 3.5 1.4 0.2 setosa\n#2 4.9 3.0 1.4 0.2 setosa\n#3 4.7 3.2 1.3 0.2 setosa\n#4 4.6 3.1 1.5 0.2 setosa\n#5 5.0 3.6 1.4 0.2 setosa\n#6 5.4 3.9 1.7 0.4 setosa\n\n#find the max Sepal.Length of each of the three Species<\/span>\ntapply(iris$Sepal.Length, iris$Species, max)\n\n#setosa versicolor virginica \n#5.8 7.0 7.9 \n\n#find the mean Sepal.Width of each of the three Species\n<\/span>tapply(iris$Sepal.Width, iris$Species, mean)\n\n# setosa versicolor virginica \n# 3,428 2,770 2,974\n\n#find the minimum Petal.Width of each of the three Species\n<\/span>tapply(iris$Petal.Width, iris$Species, min)\n\n# setosa versicolor virginica \n#0.1 1.0 1.4 \n<\/strong><\/pre>\n","protected":false},"excerpt":{"rendered":"
          \u0426\u0435\u0439 \u043f\u043e\u0441\u0456\u0431\u043d\u0438\u043a \u043f\u043e\u044f\u0441\u043d\u044e\u0454 \u0432\u0456\u0434\u043c\u0456\u043d\u043d\u043e\u0441\u0442\u0456 \u043c\u0456\u0436 \u0432\u0431\u0443\u0434\u043e\u0432\u0430\u043d\u0438\u043c\u0438 \u0444\u0443\u043d\u043a\u0446\u0456\u044f\u043c\u0438 R apply() , sapply() , lapply() \u0456 tapply() , \u0430 \u0442\u0430\u043a\u043e\u0436 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0438 \u0442\u043e\u0433\u043e, \u043a\u043e\u043b\u0438 \u0442\u0430 \u044f\u043a \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0432\u0430\u0442\u0438 \u043a\u043e\u0436\u043d\u0443 \u0444\u0443\u043d\u043a\u0446\u0456\u044e. \u0437\u0430\u0441\u0442\u043e\u0441\u043e\u0432\u0443\u0432\u0430\u0442\u0438() \u0412\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u043e\u0432\u0443\u0439\u0442\u0435 \u0444\u0443\u043d\u043a\u0446\u0456\u044e apply() , \u044f\u043a\u0449\u043e \u043f\u043e\u0442\u0440\u0456\u0431\u043d\u043e \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u0442\u0438 \u0444\u0443\u043d\u043a\u0446\u0456\u044e \u0434\u043e \u0440\u044f\u0434\u043a\u0456\u0432 \u0430\u0431\u043e \u0441\u0442\u043e\u0432\u043f\u0446\u0456\u0432 \u043c\u0430\u0442\u0440\u0438\u0446\u0456 \u0430\u0431\u043e \u043a\u0430\u0434\u0440\u0443 \u0434\u0430\u043d\u0438\u0445. \u041e\u0441\u043d\u043e\u0432\u043d\u0438\u0439 \u0441\u0438\u043d\u0442\u0430\u043a\u0441\u0438\u0441 \u0444\u0443\u043d\u043a\u0446\u0456\u0457 apply() \u0442\u0430\u043a\u0438\u0439: \u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u0442\u0438 (X, MARGIN, FUN) X – \u0456\u043c’\u044f […]<\/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":"\n\u041f\u043e\u0441\u0456\u0431\u043d\u0438\u043a \u0456\u0437 apply(), lapply(), sapply() \u0456 tapply() \u0443 R - Statorials<\/title>\n<meta name=\"description\" content=\"\u0426\u0435\u0439 \u043f\u0456\u0434\u0440\u0443\u0447\u043d\u0438\u043a \u043f\u043e\u044f\u0441\u043d\u044e\u0454 \u0432\u0456\u0434\u043c\u0456\u043d\u043d\u043e\u0441\u0442\u0456 \u043c\u0456\u0436 \u0432\u0431\u0443\u0434\u043e\u0432\u0430\u043d\u0438\u043c\u0438 \u0444\u0443\u043d\u043a\u0446\u0456\u044f\u043c\u0438 R apply(), sapply(), lapply() \u0456 tapply(), \u0430 \u0442\u0430\u043a\u043e\u0436 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0438 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/uk\/\u043f\u043e\u0441\u0456\u0431\u043d\u0438\u043a-\u0456\u0437-\u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f-lapply-sapply-\u0456-tapply-\u0432-r\/\" \/>\n<meta property=\"og:locale\" content=\"uk_UA\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u041f\u043e\u0441\u0456\u0431\u043d\u0438\u043a \u0456\u0437 apply(), lapply(), sapply() \u0456 tapply() \u0443 R - Statorials\" \/>\n<meta property=\"og:description\" content=\"\u0426\u0435\u0439 \u043f\u0456\u0434\u0440\u0443\u0447\u043d\u0438\u043a \u043f\u043e\u044f\u0441\u043d\u044e\u0454 \u0432\u0456\u0434\u043c\u0456\u043d\u043d\u043e\u0441\u0442\u0456 \u043c\u0456\u0436 \u0432\u0431\u0443\u0434\u043e\u0432\u0430\u043d\u0438\u043c\u0438 \u0444\u0443\u043d\u043a\u0446\u0456\u044f\u043c\u0438 R apply(), sapply(), lapply() \u0456 tapply(), \u0430 \u0442\u0430\u043a\u043e\u0436 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0438 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/uk\/\u043f\u043e\u0441\u0456\u0431\u043d\u0438\u043a-\u0456\u0437-\u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f-lapply-sapply-\u0456-tapply-\u0432-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T19:40:31+00:00\" \/>\n<meta name=\"author\" content=\"\u0420\u0435\u0434\u0430\u043a\u0446\u0456\u044f\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u041d\u0430\u043f\u0438\u0441\u0430\u043d\u043e\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u0420\u0435\u0434\u0430\u043a\u0446\u0456\u044f\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u041f\u0440\u0438\u0431\u043b. \u0447\u0430\u0441 \u0447\u0438\u0442\u0430\u043d\u043d\u044f\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 \u0445\u0432\u0438\u043b\u0438\u043d\u0438\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/uk\/%d0%bf%d0%be%d1%81%d1%96%d0%b1%d0%bd%d0%b8%d0%ba-%d1%96%d0%b7-%d0%b7%d0%b0%d1%81%d1%82%d0%be%d1%81%d1%83%d0%b2%d0%b0%d0%bd%d0%bd%d1%8f-lapply-sapply-%d1%96-tapply-%d0%b2-r\/\",\"url\":\"https:\/\/statorials.org\/uk\/%d0%bf%d0%be%d1%81%d1%96%d0%b1%d0%bd%d0%b8%d0%ba-%d1%96%d0%b7-%d0%b7%d0%b0%d1%81%d1%82%d0%be%d1%81%d1%83%d0%b2%d0%b0%d0%bd%d0%bd%d1%8f-lapply-sapply-%d1%96-tapply-%d0%b2-r\/\",\"name\":\"\u041f\u043e\u0441\u0456\u0431\u043d\u0438\u043a \u0456\u0437 apply(), lapply(), sapply() \u0456 tapply() \u0443 R - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/uk\/#website\"},\"datePublished\":\"2023-07-29T19:40:31+00:00\",\"dateModified\":\"2023-07-29T19:40:31+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/uk\/#\/schema\/person\/2affa1a5da08a4b61ab4becd078c191a\"},\"description\":\"\u0426\u0435\u0439 \u043f\u0456\u0434\u0440\u0443\u0447\u043d\u0438\u043a \u043f\u043e\u044f\u0441\u043d\u044e\u0454 \u0432\u0456\u0434\u043c\u0456\u043d\u043d\u043e\u0441\u0442\u0456 \u043c\u0456\u0436 \u0432\u0431\u0443\u0434\u043e\u0432\u0430\u043d\u0438\u043c\u0438 \u0444\u0443\u043d\u043a\u0446\u0456\u044f\u043c\u0438 R apply(), sapply(), lapply() \u0456 tapply(), \u0430 \u0442\u0430\u043a\u043e\u0436 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0438 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/uk\/%d0%bf%d0%be%d1%81%d1%96%d0%b1%d0%bd%d0%b8%d0%ba-%d1%96%d0%b7-%d0%b7%d0%b0%d1%81%d1%82%d0%be%d1%81%d1%83%d0%b2%d0%b0%d0%bd%d0%bd%d1%8f-lapply-sapply-%d1%96-tapply-%d0%b2-r\/#breadcrumb\"},\"inLanguage\":\"uk\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/uk\/%d0%bf%d0%be%d1%81%d1%96%d0%b1%d0%bd%d0%b8%d0%ba-%d1%96%d0%b7-%d0%b7%d0%b0%d1%81%d1%82%d0%be%d1%81%d1%83%d0%b2%d0%b0%d0%bd%d0%bd%d1%8f-lapply-sapply-%d1%96-tapply-%d0%b2-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/uk\/%d0%bf%d0%be%d1%81%d1%96%d0%b1%d0%bd%d0%b8%d0%ba-%d1%96%d0%b7-%d0%b7%d0%b0%d1%81%d1%82%d0%be%d1%81%d1%83%d0%b2%d0%b0%d0%bd%d0%bd%d1%8f-lapply-sapply-%d1%96-tapply-%d0%b2-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"\u0434\u043e\u0434\u043e\u043c\u0443\",\"item\":\"https:\/\/statorials.org\/uk\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u041f\u043e\u0441\u0456\u0431\u043d\u0438\u043a \u0456\u0437 apply(), lapply(), sapply() \u0456 tapply() \u0443 r\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/uk\/#website\",\"url\":\"https:\/\/statorials.org\/uk\/\",\"name\":\"Statorials\",\"description\":\"\u0412\u0430\u0448 \u043f\u0443\u0442\u0456\u0432\u043d\u0438\u043a \u0434\u043e \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u043d\u043e\u0457 \u043a\u043e\u043c\u043f\u0435\u0442\u0435\u043d\u0442\u043d\u043e\u0441\u0442\u0456!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/uk\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"uk\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/uk\/#\/schema\/person\/2affa1a5da08a4b61ab4becd078c191a\",\"name\":\"\u0420\u0435\u0434\u0430\u043a\u0446\u0456\u044f\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"uk\",\"@id\":\"https:\/\/statorials.org\/uk\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/uk\/wp-content\/uploads\/2023\/11\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/uk\/wp-content\/uploads\/2023\/11\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"\u0420\u0435\u0434\u0430\u043a\u0446\u0456\u044f\"},\"description\":\"\u041f\u0440\u0438\u0432\u0456\u0442, \u044f \u0411\u0435\u043d\u0434\u0436\u0430\u043c\u0456\u043d, \u043f\u0440\u043e\u0444\u0435\u0441\u043e\u0440 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438 \u043d\u0430 \u043f\u0435\u043d\u0441\u0456\u0457, \u044f\u043a\u0438\u0439 \u0441\u0442\u0430\u0432 \u0432\u0438\u043a\u043b\u0430\u0434\u0430\u0447\u0435\u043c \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438. \u041c\u0430\u044e\u0447\u0438 \u0432\u0435\u043b\u0438\u043a\u0438\u0439 \u0434\u043e\u0441\u0432\u0456\u0434 \u0456 \u0437\u043d\u0430\u043d\u043d\u044f \u0432 \u0433\u0430\u043b\u0443\u0437\u0456 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438, \u044f \u0433\u043e\u0442\u043e\u0432\u0438\u0439 \u043f\u043e\u0434\u0456\u043b\u0438\u0442\u0438\u0441\u044f \u0441\u0432\u043e\u0457\u043c\u0438 \u0437\u043d\u0430\u043d\u043d\u044f\u043c\u0438, \u0449\u043e\u0431 \u0440\u043e\u0437\u0448\u0438\u0440\u0438\u0442\u0438 \u043c\u043e\u0436\u043b\u0438\u0432\u043e\u0441\u0442\u0456 \u0441\u0442\u0443\u0434\u0435\u043d\u0442\u0456\u0432 \u0447\u0435\u0440\u0435\u0437 Statorials. \u0414\u0456\u0437\u043d\u0430\u0439\u0442\u0435\u0441\u044f \u0431\u0456\u043b\u044c\u0448\u0435\",\"sameAs\":[\"http:\/\/statorials.org\/uk\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u041f\u043e\u0441\u0456\u0431\u043d\u0438\u043a \u0456\u0437 apply(), lapply(), sapply() \u0456 tapply() \u0443 R - Statorials","description":"\u0426\u0435\u0439 \u043f\u0456\u0434\u0440\u0443\u0447\u043d\u0438\u043a \u043f\u043e\u044f\u0441\u043d\u044e\u0454 \u0432\u0456\u0434\u043c\u0456\u043d\u043d\u043e\u0441\u0442\u0456 \u043c\u0456\u0436 \u0432\u0431\u0443\u0434\u043e\u0432\u0430\u043d\u0438\u043c\u0438 \u0444\u0443\u043d\u043a\u0446\u0456\u044f\u043c\u0438 R apply(), sapply(), lapply() \u0456 tapply(), \u0430 \u0442\u0430\u043a\u043e\u0436 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0438 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/uk\/\u043f\u043e\u0441\u0456\u0431\u043d\u0438\u043a-\u0456\u0437-\u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f-lapply-sapply-\u0456-tapply-\u0432-r\/","og_locale":"uk_UA","og_type":"article","og_title":"\u041f\u043e\u0441\u0456\u0431\u043d\u0438\u043a \u0456\u0437 apply(), lapply(), sapply() \u0456 tapply() \u0443 R - Statorials","og_description":"\u0426\u0435\u0439 \u043f\u0456\u0434\u0440\u0443\u0447\u043d\u0438\u043a \u043f\u043e\u044f\u0441\u043d\u044e\u0454 \u0432\u0456\u0434\u043c\u0456\u043d\u043d\u043e\u0441\u0442\u0456 \u043c\u0456\u0436 \u0432\u0431\u0443\u0434\u043e\u0432\u0430\u043d\u0438\u043c\u0438 \u0444\u0443\u043d\u043a\u0446\u0456\u044f\u043c\u0438 R apply(), sapply(), lapply() \u0456 tapply(), \u0430 \u0442\u0430\u043a\u043e\u0436 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0438 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f.","og_url":"https:\/\/statorials.org\/uk\/\u043f\u043e\u0441\u0456\u0431\u043d\u0438\u043a-\u0456\u0437-\u0437\u0430\u0441\u0442\u043e\u0441\u0443\u0432\u0430\u043d\u043d\u044f-lapply-sapply-\u0456-tapply-\u0432-r\/","og_site_name":"Statorials","article_published_time":"2023-07-29T19:40:31+00:00","author":"\u0420\u0435\u0434\u0430\u043a\u0446\u0456\u044f","twitter_card":"summary_large_image","twitter_misc":{"\u041d\u0430\u043f\u0438\u0441\u0430\u043d\u043e":"\u0420\u0435\u0434\u0430\u043a\u0446\u0456\u044f","\u041f\u0440\u0438\u0431\u043b. \u0447\u0430\u0441 \u0447\u0438\u0442\u0430\u043d\u043d\u044f":"2 \u0445\u0432\u0438\u043b\u0438\u043d\u0438"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/uk\/%d0%bf%d0%be%d1%81%d1%96%d0%b1%d0%bd%d0%b8%d0%ba-%d1%96%d0%b7-%d0%b7%d0%b0%d1%81%d1%82%d0%be%d1%81%d1%83%d0%b2%d0%b0%d0%bd%d0%bd%d1%8f-lapply-sapply-%d1%96-tapply-%d0%b2-r\/","url":"https:\/\/statorials.org\/uk\/%d0%bf%d0%be%d1%81%d1%96%d0%b1%d0%bd%d0%b8%d0%ba-%d1%96%d0%b7-%d0%b7%d0%b0%d1%81%d1%82%d0%be%d1%81%d1%83%d0%b2%d0%b0%d0%bd%d0%bd%d1%8f-lapply-sapply-%d1%96-tapply-%d0%b2-r\/","name":"\u041f\u043e\u0441\u0456\u0431\u043d\u0438\u043a \u0456\u0437 apply(), lapply(), sapply() \u0456 tapply() \u0443 R - Statorials","isPartOf":{"@id":"https:\/\/statorials.org\/uk\/#website"},"datePublished":"2023-07-29T19:40:31+00:00","dateModified":"2023-07-29T19:40:31+00:00","author":{"@id":"https:\/\/statorials.org\/uk\/#\/schema\/person\/2affa1a5da08a4b61ab4becd078c191a"},"description":"\u0426\u0435\u0439 \u043f\u0456\u0434\u0440\u0443\u0447\u043d\u0438\u043a \u043f\u043e\u044f\u0441\u043d\u044e\u0454 \u0432\u0456\u0434\u043c\u0456\u043d\u043d\u043e\u0441\u0442\u0456 \u043c\u0456\u0436 \u0432\u0431\u0443\u0434\u043e\u0432\u0430\u043d\u0438\u043c\u0438 \u0444\u0443\u043d\u043a\u0446\u0456\u044f\u043c\u0438 R apply(), sapply(), lapply() \u0456 tapply(), \u0430 \u0442\u0430\u043a\u043e\u0436 \u043f\u0440\u0438\u043a\u043b\u0430\u0434\u0438 \u0432\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f.","breadcrumb":{"@id":"https:\/\/statorials.org\/uk\/%d0%bf%d0%be%d1%81%d1%96%d0%b1%d0%bd%d0%b8%d0%ba-%d1%96%d0%b7-%d0%b7%d0%b0%d1%81%d1%82%d0%be%d1%81%d1%83%d0%b2%d0%b0%d0%bd%d0%bd%d1%8f-lapply-sapply-%d1%96-tapply-%d0%b2-r\/#breadcrumb"},"inLanguage":"uk","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/uk\/%d0%bf%d0%be%d1%81%d1%96%d0%b1%d0%bd%d0%b8%d0%ba-%d1%96%d0%b7-%d0%b7%d0%b0%d1%81%d1%82%d0%be%d1%81%d1%83%d0%b2%d0%b0%d0%bd%d0%bd%d1%8f-lapply-sapply-%d1%96-tapply-%d0%b2-r\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/uk\/%d0%bf%d0%be%d1%81%d1%96%d0%b1%d0%bd%d0%b8%d0%ba-%d1%96%d0%b7-%d0%b7%d0%b0%d1%81%d1%82%d0%be%d1%81%d1%83%d0%b2%d0%b0%d0%bd%d0%bd%d1%8f-lapply-sapply-%d1%96-tapply-%d0%b2-r\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"\u0434\u043e\u0434\u043e\u043c\u0443","item":"https:\/\/statorials.org\/uk\/"},{"@type":"ListItem","position":2,"name":"\u041f\u043e\u0441\u0456\u0431\u043d\u0438\u043a \u0456\u0437 apply(), lapply(), sapply() \u0456 tapply() \u0443 r"}]},{"@type":"WebSite","@id":"https:\/\/statorials.org\/uk\/#website","url":"https:\/\/statorials.org\/uk\/","name":"Statorials","description":"\u0412\u0430\u0448 \u043f\u0443\u0442\u0456\u0432\u043d\u0438\u043a \u0434\u043e \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u0447\u043d\u043e\u0457 \u043a\u043e\u043c\u043f\u0435\u0442\u0435\u043d\u0442\u043d\u043e\u0441\u0442\u0456!","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/statorials.org\/uk\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"uk"},{"@type":"Person","@id":"https:\/\/statorials.org\/uk\/#\/schema\/person\/2affa1a5da08a4b61ab4becd078c191a","name":"\u0420\u0435\u0434\u0430\u043a\u0446\u0456\u044f","image":{"@type":"ImageObject","inLanguage":"uk","@id":"https:\/\/statorials.org\/uk\/#\/schema\/person\/image\/","url":"https:\/\/statorials.org\/uk\/wp-content\/uploads\/2023\/11\/Dr.-Benjamin-Anderson-96x96.jpg","contentUrl":"https:\/\/statorials.org\/uk\/wp-content\/uploads\/2023\/11\/Dr.-Benjamin-Anderson-96x96.jpg","caption":"\u0420\u0435\u0434\u0430\u043a\u0446\u0456\u044f"},"description":"\u041f\u0440\u0438\u0432\u0456\u0442, \u044f \u0411\u0435\u043d\u0434\u0436\u0430\u043c\u0456\u043d, \u043f\u0440\u043e\u0444\u0435\u0441\u043e\u0440 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438 \u043d\u0430 \u043f\u0435\u043d\u0441\u0456\u0457, \u044f\u043a\u0438\u0439 \u0441\u0442\u0430\u0432 \u0432\u0438\u043a\u043b\u0430\u0434\u0430\u0447\u0435\u043c \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438. \u041c\u0430\u044e\u0447\u0438 \u0432\u0435\u043b\u0438\u043a\u0438\u0439 \u0434\u043e\u0441\u0432\u0456\u0434 \u0456 \u0437\u043d\u0430\u043d\u043d\u044f \u0432 \u0433\u0430\u043b\u0443\u0437\u0456 \u0441\u0442\u0430\u0442\u0438\u0441\u0442\u0438\u043a\u0438, \u044f \u0433\u043e\u0442\u043e\u0432\u0438\u0439 \u043f\u043e\u0434\u0456\u043b\u0438\u0442\u0438\u0441\u044f \u0441\u0432\u043e\u0457\u043c\u0438 \u0437\u043d\u0430\u043d\u043d\u044f\u043c\u0438, \u0449\u043e\u0431 \u0440\u043e\u0437\u0448\u0438\u0440\u0438\u0442\u0438 \u043c\u043e\u0436\u043b\u0438\u0432\u043e\u0441\u0442\u0456 \u0441\u0442\u0443\u0434\u0435\u043d\u0442\u0456\u0432 \u0447\u0435\u0440\u0435\u0437 Statorials. \u0414\u0456\u0437\u043d\u0430\u0439\u0442\u0435\u0441\u044f \u0431\u0456\u043b\u044c\u0448\u0435","sameAs":["http:\/\/statorials.org\/uk"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/uk\/wp-json\/wp\/v2\/posts\/464"}],"collection":[{"href":"https:\/\/statorials.org\/uk\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/uk\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/uk\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/uk\/wp-json\/wp\/v2\/comments?post=464"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/uk\/wp-json\/wp\/v2\/posts\/464\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/uk\/wp-json\/wp\/v2\/media?parent=464"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/uk\/wp-json\/wp\/v2\/categories?post=464"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/uk\/wp-json\/wp\/v2\/tags?post=464"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}