rplusarithm | R Documentation |

The positive quadrant forms a manifold of the real vector space. The induced operations +,-,*,/ give results valued in this real vector space (not necessarily inside the manifold).

```
mul.rplus(x,r)
## Methods for class rplus
## x+y
## x-y
## -x
## x*r
## r*x
## x/r
```

`x` |
an rplus composition or dataset of compositions |

`y` |
an rplus composition or dataset of compositions |

`r` |
a numeric vector of size 1 or nrow(x) |

The functions behave quite like `+.rmult`

.

`rmult`

-objects containing the given operations on the rcomp
manifold as subset of the `R^D`

. Only the addition and
multiplication with positive numbers are internal
operation and results in an `rplus`

-object again.

For `*`

the arguments x and y can be exchanged.

K.Gerald v.d. Boogaart http://www.stat.boogaart.de

`+.rmult`

, `+.acomp`

,`cpt`

, `rcomp`

, `rmult`

```
rplus(1:5)* -1 + rplus(1:5)
data(SimulatedAmounts)
cdata <- rplus(sa.lognormals)
plot( tmp <- (cdata-mean(cdata))/msd(cdata) )
class(tmp)
mean(tmp)
msd(tmp)
var(tmp)
```

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