free | R Documentation |
free
Generate, and test for, objects of class free
free(x) as.free(x) is.free(x) list_to_free(x)
x |
Function |
The basic structure of an element of the free group is a two-row matrix. The top row is the symbols (1=a, 2=b, 3=c, etc) and the bottom row is the corresponding power. Thus a^2ba^-1 would be
> rbind(c(1,2,1),c(2,1,-1)) [,1] [,2] [,3] [1,] 1 2 1 [2,] 2 1 -1 >
Function free()
needs either a two-row matrix or a list of
two-row matrices. It is the only place in the package that sets the
class of an objet to free
. Function as.free()
is a bit
more user-friendly and tries a bit harder to do the Right Thing.
The package uses setOldClass("free")
for the dot
methods.
Robin K. S. Hankin
char_to_free
free(rbind(1:5,5:1)) x <- rfree(10,3) x x+x x-x x[1:5]*(1:5) as.free(c(4,3,2,2,2)) as.free("aaaabccccaaaaa") as.free(c("a","A","abAAA"))
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