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set6

R6 Mathematical Sets Interface

An object-oriented package for mathematical sets, upgrading the current gold-standard {sets}. Many forms of mathematical sets are implemented, including (countably finite) sets, tuples, intervals (countably infinite or uncountable), and fuzzy variants. Wrappers extend functionality by allowing symbolic representations of complex operations on sets, including unions, (cartesian) products, exponentiation, and differences (asymmetric and symmetric).

Functions (70)

ComplementSet

Set of Complements

Set of Complex Numbers

ConditionalSet

Mathematical Set of Conditions

ExponentSet

Set of Exponentiations

ExtendedReals

Set of Extended Real Numbers

FuzzyMultiset

Mathematical Fuzzy Multiset

Mathematical Fuzzy Set

Mathematical Fuzzy Tuple

Set of Integers

Mathematical Finite or Infinite Interval

Set of Logicals

Set of Logicals

Mathematical Multiset

Set of Natural Numbers

NegIntegers

Set of Negative Integers

NegRationals

Set of Negative Rational Numbers

Set of Negative Real Numbers

PosIntegers

Set of Positive Integers

PosNaturals

Set of Positive Natural Numbers

PosRationals

Set of Positive Rational Numbers

Set of Positive Real Numbers

PowersetSet

Set of Powersets

Set of Products

Set Properties Class

Set of Rational Numbers

Set of Real Numbers

Set

Mathematical Set

Abstract SetWrapper Class

Abstract Class for Special Sets

Mathematical Tuple

Set of Unions

Mathematical Universal Set

UniversalSet

Mathematical Universal Set

as.FuzzySet

Coercion to R6 FuzzySet/FuzzyTuple

as.Interval

Coercion to R6 Interval

Coercion to R6 Set/Tuple

contains Operator

equals Operator

isSubset Operator

listSpecialSets

Lists Implemented R6 Special Sets

Calculate a Set's Powerset

set6-deprecated

Deprecated set6 Functions and Classes

set6-package

set6: R6 Mathematical Sets Interface

Show set6 NEWS.md File

setcomplement

Complement of Two Sets

setintersect

Intersection of Two Sets

Power of a Set

Cartesian Product of Sets

Symmetric Difference of Two Sets

Union of Sets

assert/check/test/Closed

testClosedAbove

assert/check/test/ClosedAbove

testClosedBelow

assert/check/test/ClosedBelow

testConditionalSet

assert/check/test/ConditionalSet

testContains

assert/check/test/Contains

testCountablyFinite

assert/check/test/CountablyFinite

assert/check/test/Crisp

assert/check/test/Empty

assert/check/test/Finite

assert/check/test/Fuzzy

testFuzzyMultiset

assert/check/test/FuzzyMultiset

testFuzzySet

assert/check/test/FuzzySet

testFuzzyTuple

assert/check/test/FuzzyTuple

testInterval

assert/check/test/Interval

testMultiset

assert/check/test/Multiset

assert/check/test/Set

testSetList

assert/check/test/SetList

assert/check/test/Subset

assert/check/test/Tuple

Get/Set Unicode Printing Method

set6

R6 Mathematical Sets Interface

v0.2.1

MIT + file LICENSE

Authors

Raphael Sonabend [aut, cre] (<https://orcid.org/0000-0001-9225-4654>), Franz Kiraly [aut]

Initial release

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