Set of Real Numbers

The mathematical set of real numbers, defined as the union of the set of rationals and irrationals. i.e. $$I \cup Q$$ where \(I\) is the set of irrationals and \(Q\) is the set of rationals.

See also

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

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.