Reals: Set of Real Numbers

In set6: R6 Mathematical Sets Interface

Description

The mathematical set of real numbers, defined as the union of the set of rationals and irrationals. i.e.

I U Q

where I is the set of irrationals and Q is the set of rationals.

Super classes

set6::Set -> set6::Interval -> set6::SpecialSet -> Reals

Methods

Public methods

• Reals$new()

• Reals$clone()

Inherited methods

• set6::Set$add()

• set6::Set$multiplicity()

• set6::Set$print()

• set6::Set$remove()

• set6::Set$summary()

• set6::Interval$contains()

• set6::Interval$equals()

• set6::Interval$isSubinterval()

• set6::Interval$isSubset()

• set6::SpecialSet$strprint()

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Method new()

Create a new Reals object.

Usage

Reals$new(lower = -Inf, upper = Inf, type = "()")

Arguments

lower

numeric. Where to start the set. Advised to ignore, used by child-classes.

upper

numeric. Where to end the set. Advised to ignore, used by child-classes.

type

character Set closure type. Advised to ignore, used by child-classes.

Returns

A new Reals object.

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Method clone()

The objects of this class are cloneable with this method.

Usage

Reals$clone(deep = FALSE)

Arguments

deep

Whether to make a deep clone.

See Also

Other special sets: Complex, ExtendedReals, Integers, Logicals, Naturals, NegIntegers, NegRationals, NegReals, PosIntegers, PosNaturals, PosRationals, PosReals, Rationals, Universal

set6 documentation built on Oct. 18, 2021, 5:06 p.m.