%outer% {calculus}

Numerical and Symbolic Outer Product

Description

Computes the outer product of two numeric or character arrays.

Usage

x %outer% y

Arguments

x

numeric or character array.

y

numeric or character array.

Details

The outer product between two arrays A and B is computed as:

C_{i_1\dots i_mj_1\dots j_n} = A_{i_1\dots i_m}B_{j_1\dots j_n}

Value

array.

References

Guidotti E (2022). "calculus: High-Dimensional Numerical and Symbolic Calculus in R." Journal of Statistical Software, 104(5), 1-37. doi:10.18637/jss.v104.i05

See Also

Other basic arithmetic: %diff%(), %div%(), %dot%(), %inner%(), %kronecker%(), %prod%(), %sum%()

Examples

### numeric outer product 
c(1,2) %outer% c(2,3)

### symbolic outer product 
c("a","b") %outer% c("c","d")