Set of Negative Rational Numbers
The mathematical set of negative rational numbers, defined as the set of numbers that can be written as a fraction of two integers and are non-positive. i.e.
p/q : p,q ε Z, p/q ≤ 0, q != 0
where Z is the set of integers.
The $contains method does not work for the set of Rationals as it is notoriously
difficult/impossible to find an algorithm for determining if any given number is rational or not.
Furthermore, computers must truncate all irrational numbers to rational numbers.
set6::Set -> set6::Interval -> set6::SpecialSet -> set6::Rationals -> NegRationals
new()
Create a new NegRationals object.
NegRationals$new(zero = FALSE)
zerological. If TRUE, zero is included in the set.
A new NegRationals object.
clone()
The objects of this class are cloneable with this method.
NegRationals$clone(deep = FALSE)
deepWhether to make a deep clone.
Other special sets:
Complex,
ExtendedReals,
Integers,
Logicals,
Naturals,
NegIntegers,
NegReals,
PosIntegers,
PosNaturals,
PosRationals,
PosReals,
Rationals,
Reals,
Universal
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