Gets or sets the size of a permutation
The ‘size’ of a permutation is the cardinality of the set for which it is a bijection.
size(x) addcols(M,n) ## S3 method for class 'word' size(x) ## S3 method for class 'cycle' size(x) ## S3 replacement method for class 'word' size(x) <- value ## S3 replacement method for class 'cycle' size(x) <- value
x |
A permutation object |
M |
A matrix that may be coerced to a word |
n,value |
the size to set to, an integer |
For a word object, the size is equal to the number of columns.
For a cycle object, it is equal to the largest element of any
cycle.
Function addcols() is a low-level function that operates on, and
returns, a matrix. It just adds columns to the right of M, with
values equal to their column numbers, thus corresponding to fixed
elements. The resulting matrix has n columns. This function
cannot remove columns, so if n<ncol(M) an error is returned.
Setting functions cannot decrease the size of a permutation; use
trim() for this.
It is meaningless to change the size of a cycle object. Trying
to do so will result in an error. But you can coerce cycle objects to
word form, and change the size of that.
Robin K. S. Hankin
x <- rperm(10,8) size(x) size(x) <- 15 size(as.cycle(1:5) + as.cycle(100:101)) size(id)
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