set6 (version 0.2.4)

ExponentSet: Set of Exponentiations

Description

ExponentSet class for symbolic exponentiation of mathematical sets.

Super classes

set6::Set -> set6::SetWrapper -> set6::ProductSet -> ExponentSet

Active bindings

power

Returns the power that the wrapped set is raised to.

Methods

Public methods

• ExponentSet$new()

• ExponentSet$strprint()

• ExponentSet$contains()

• ExponentSet$clone()

• set6::Set$add()

• set6::Set$multiplicity()

• set6::Set$print()

• set6::Set$remove()

• set6::Set$summary()

• set6::SetWrapper$equals()

• set6::SetWrapper$isSubset()

Method new()

Create a new ExponentSet object. It is not recommended to construct this class directly.

Usage

ExponentSet$new(set, power)

Arguments

set

Set to wrap.

power

numeric. Power to raise Set to.

Returns

A new ExponentSet object.

Method strprint()

Creates a printable representation of the object.

Usage

ExponentSet$strprint(n = 2)

Arguments

n

numeric. Number of elements to display on either side of ellipsis when printing.

Returns

A character string representing the object.

Method contains()

Tests if elements x are contained in self.

Usage

ExponentSet$contains(x, all = FALSE, bound = FALSE)

Arguments

x

Set or vector of Sets.

all

logical. If FALSE tests each x separately. Otherwise returns TRUE only if all x pass test.

bound

logical

Returns

If all == TRUE then returns TRUE if all x are contained in self, otherwise FALSE. If all == FALSE returns a vector of logicals corresponding to the length of x, representing if each is contained in self. If bound == TRUE then an element is contained in self if it is on or within the (possibly-open) bounds of self, otherwise TRUE only if the element is within self or the bounds are closed.

Method clone()

The objects of this class are cloneable with this method.

Usage

ExponentSet$clone(deep = FALSE)

Arguments

deep

Whether to make a deep clone.

Details

The purpose of this class is to provide a symbolic representation for the exponentiation of sets that cannot be represented in a simpler class. Whilst this is not an abstract class, it is not recommended to construct this class directly but via the set operation methods.

See Also

Set operations: setunion, setproduct, setpower, setcomplement, setsymdiff, powerset, setintersect

Other wrappers: ComplementSet, PowersetSet, ProductSet, UnionSet