| outer {base} | R Documentation |
The outer product of the arrays X and Y is the array
A with dimension c(dim(X), dim(Y)) where element
A[c(arrayindex.x, arrayindex.y)]
= FUN(X[arrayindex.x], Y[arrayindex.y], ...).
outer(X, Y, FUN="*", ...) X %o% Y
X, Y |
First and second arguments for function FUN.
Typically a vector or array. |
FUN |
a function to use on the outer products, found via
match.fun (except for the special case "*"). |
... |
optional arguments to be passed to FUN. |
FUN must be a function (or the name of it) which expects at
least two arguments and which operates elementwise.
X and Y must be suitable arguments for FUN. Each
will be extended by rep to length the products of the
lengths of X and Y before FUN is called.
Where they exist, the [dim]names of X and Y will be
copied to the answer, and a dimension assigned which is the
concatenation of the dimensions of X and Y (or lengths
if dimensions do not exist).
FUN = "*" is handled internally as a special case, via
as.vector(X) %*% t(as.vector(Y)), and is intended only for
numeric vectors and arrays.
%o% is binary operator providing a wrapper for
outer(x, y, "*").
Jonathan Rougier
Becker, R. A., Chambers, J. M. and Wilks, A. R. (1988) The New S Language. Wadsworth & Brooks/Cole.
%*% for usual (inner) matrix vector
multiplication;
kronecker which is based on outer.
x <- 1:9; names(x) <- x # Multiplication & Power Tables x %o% x y <- 2:8; names(y) <- paste(y,":",sep="") outer(y, x, "^") outer(month.abb, 1999:2003, FUN = "paste") ## three way multiplication table: x %o% x %o% y[1:3]