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\name{apply}\alias{apply}\title{Apply Functions Over Array Margins}\description{Returns a vector or array or list of values obtained by applying afunction to margins of an array.}\usage{apply(X, MARGIN, FUN, \dots)}\arguments{\item{X}{the array to be used.}\item{MARGIN}{a vector giving the subscripts which the function willbe applied over.\code{1} indicates rows, \code{2} indicates columns,\code{c(1,2)} indicates rows and columns.}\item{FUN}{the function to be applied.In the case of functions like \code{+}, \code{\%*\%}, etc., thefunction name must be quoted.}\item{\dots}{optional arguments to \code{FUN}.}}\details{If \code{X} is not an array but has a dimension attribute,\code{apply} attempts to coerce it to an array via \code{as.matrix}if it is two-dimensional (e.g., data frames) or via \code{as.array}.}\value{If each call to \code{FUN} returns a vector of length \code{n}, then\code{apply} returns an array of dimension \code{c(n, dim(X)[MARGIN])}if \code{n > 1}. If \code{n} equals \code{1}, \code{apply} returns avector if \code{MARGIN} has length 1 and an array of dimension\code{dim(X)[MARGIN]} otherwise.If \code{n} is \code{0}, the result has length 0 but not necessarilythe \dQuote{correct} dimension.If the calls to \code{FUN} return vectors of different lengths,\code{apply} returns a list of length \code{dim(X)[MARGIN]}.}\references{Becker, R. A., Chambers, J. M. and Wilks, A. R. (1988)\emph{The New S Language}.Wadsworth \& Brooks/Cole.}\seealso{\code{\link{lapply}}, \code{\link{tapply}}, and convenience functions\code{\link{sweep}} and \code{\link{aggregate}}.}\examples{## Compute row and column sums for a matrix:x <- cbind(x1 = 3, x2 = c(4:1, 2:5))dimnames(x)[[1]] <- letters[1:8]apply(x, 2, mean, trim = .2)col.sums <- apply(x, 2, sum)row.sums <- apply(x, 1, sum)rbind(cbind(x, Rtot = row.sums), Ctot = c(col.sums, sum(col.sums)))stopifnot( apply(x,2, is.vector)) # not ok in R <= 0.63.2## Sort the columns of a matrixapply(x, 2, sort)##- function with extra args:cave <- function(x, c1,c2) c(mean(x[c1]),mean(x[c2]))apply(x,1, cave, c1="x1", c2=c("x1","x2"))ma <- matrix(c(1:4, 1, 6:8), nr = 2)maapply(ma, 1, table) #--> a list of length 2apply(ma, 1, quantile)# 5 x n matrix with rownamesstopifnot(dim(ma) == dim(apply(ma, 1:2, sum)))## wasn't ok before R 0.63.1}\keyword{iteration}\keyword{array}