Mobius.card.set.func-class: Class "Mobius.card.set.func"

In kappalab: Non-Additive Measure and Integral Manipulation Functions

Class "Mobius.card.set.func"

Description

Class representing the Möbius transform of a cardinal set function.

Objects from the Class

Objects can be created by calls to the function Mobius.card.set.func.

Slots

n:

Object of class numeric of length 1 equal to the number of elements of the set on which the Möbius representation of a cardinal set function is defined.

data:

Object of class numeric of length n+1 containing the coefficients of the Möbius representation of a cardinal set function.

Extends

Class superclass.set.func, directly.

Methods

as.Mobius.set.func

signature(object = "Mobius.card.set.func")

as.set.func

signature(object = "Mobius.card.set.func")

as.card.set.func

signature(object = "Mobius.card.set.func")

to.data.frame

signature(object = "Mobius.card.set.func")

zeta

signature(object = "Mobius.card.set.func")

See Also

Mobius.set.func-class,
Mobius.card.set.func,
as.Mobius.set.func-methods,
as.card.set.func-methods,
as.set.func-methods,
zeta-methods,
to.data.frame-methods.

Examples

## the Mobius representation of a cardinal set function
a <- Mobius.card.set.func(-3:2)

# the attributes of the object
a@n
a@data

## some transformations
as.set.func(a)
zeta(a)
## let us check ...
Mobius(zeta(a))

kappalab documentation built on Nov. 8, 2023, 1:07 a.m.