Set of Rational Numbers
The mathematical set of rational numbers, defined as the set of numbers that can be written as a fraction of two integers. i.e.
p/q : p,q ε Z, q != 0
where Z is the set of integers.
The $contains method does not work for the set of Rationals as it is notoriously
difficult/impossible to find an algorithm for determining if any given number is rational or not.
Furthermore, computers must truncate all irrational numbers to rational numbers.
set6::Set -> set6::Interval -> set6::SpecialSet -> Rationals
new()
Create a new Rationals object.
Rationals$new(lower = -Inf, upper = Inf, type = "()")
lowernumeric. Where to start the set. Advised to ignore, used by child-classes.
uppernumeric. Where to end the set. Advised to ignore, used by child-classes.
typecharacter Set closure type. Advised to ignore, used by child-classes.
A new Rationals object.
contains()
Method not possible for Rationals.
Rationals$contains(...)
...Ignored
isSubset()
Method not possible for Rationals.
Rationals$isSubset(...)
...Ignored
equals()
Method not possible for Rationals.
Rationals$equals(...)
...Ignored
clone()
The objects of this class are cloneable with this method.
Rationals$clone(deep = FALSE)
deepWhether to make a deep clone.
Other special sets:
Complex,
ExtendedReals,
Integers,
Logicals,
Naturals,
NegIntegers,
NegRationals,
NegReals,
PosIntegers,
PosNaturals,
PosRationals,
PosReals,
Reals,
Universal
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