aplusarithm: vectorial arithmetic for data sets with aplus class
Description
The positive vectors equipped with the perturbation (defined as
the element-wise product) as Abelian sum, and powertransform (defined as the element-wise
powering with a scalar) as scalar multiplication forms a real vector
space. These vector space operations are defined here in a similar way
to +.rmult.Usage
perturbe.aplus(x,y)
## Methods for aplus
## x+y
## x-y
## -x
## x*r
## r*x
## x/r
power.aplus(x,r)
Arguments
x
an aplus vector or dataset of vectors
y
an aplus vector or dataset of vectors
r
a numeric vector of size 1 or nrow(x)
Value
- an object of class
"aplus" containing the result of the
corresponding operation on the vectors.
synopsis
perturbe.aplus(x,y)
## S3 method for class 'aplus':
+(x,y)
## S3 method for class 'aplus':
-(x,y)
## S3 method for class 'aplus':
*(x,y)
## S3 method for class 'aplus':
/(x,y)
power.aplus(x,r)Details
The operators try to mimic the parallel operation of R for vectors of
real numbers to vectors of amounts, represented as matrices containing
the vectors as rows and works like the operators for {rmult}Examples
Run this codex <- aplus(matrix( sqrt(1:12), ncol= 3 ))
x
x+x
x + aplus(1:3)
x * 1:4
1:4 * x
x / 1:4
x / 10
power.aplus(x,1:4)
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