Complement (set theory)
In set theory, the complement of a set A, often denoted by A∁ (or A′), is the set of elements not in A. When all sets in the universe, i.e. all sets under consideration, are considered to be members of a given set U, the absolute complement of A is the set of elements in U that are not in A. The relative complement of A with respect to a set B, also termed the set difference of B and A, written is the set of elements in B that are not in A.
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- enA circle filled with red inside a square. The area outside the circle is unfilled. The borders of both the circle and the square are black.
- enAn unfilled circle inside a square. The area inside the square not covered by the circle is filled with red. The borders of both the circle and the square are black.
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- enIf is the area colored red in this image…
- en… then the complement of is everything else.
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- enIn set theory, the complement of a set A, often denoted by A∁ (or A′), is the set of elements not in A. When all sets in the universe, i.e. all sets under consideration, are considered to be members of a given set U, the absolute complement of A is the set of elements in U that are not in A. The relative complement of A with respect to a set B, also termed the set difference of B and A, written is the set of elements in B that are not in A.
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- enIn set theory, the complement of a set A, often denoted by A∁ (or A′), is the set of elements not in A. When all sets in the universe, i.e. all sets under consideration, are considered to be members of a given set U, the absolute complement of A is the set of elements in U that are not in A. The relative complement of A with respect to a set B, also termed the set difference of B and A, written is the set of elements in B that are not in A.
- Hypernym
- Set
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- Complement (set theory)
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- Algebra of sets
- Array data structure
- Backslash
- Binary relation
- Calculus of relations
- Category:Basic concepts in set theory
- Category:Operations on sets
- Composition of relations
- Contrapositive
- Converse relation
- Data structure
- De Morgan's laws
- Element (mathematics)
- File:Relative compliment.svg
- File:Venn10.svg
- Finite set
- Functional analysis
- Identity (mathematics)
- Integer
- Involution (mathematics)
- Irrational number
- ISO 31-11
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- Logical matrix
- Minkowski addition
- Modular arithmetic
- Multiple (mathematics)
- Multiset
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- Partition of a set
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- Programming language
- Proper subset
- Rational number
- Real number
- Set (computer science)
- Set (mathematics)
- Set theory
- Springer-Verlag
- Standard 52-card deck
- Union (set theory)
- Universe (set theory)
- SameAs
- 2J8Sk
- Complement (matematică)
- Complement (set theory)
- Complement (verzamelingenleer)
- Complémentaire (théorie des ensembles)
- Complementar
- Complementari
- Complemento de un conjunto
- Cyflenwad (setiau)
- Dopełnienie zbioru
- Doplněk množiny
- Doplnok (množiny)
- Ensemble complementari
- Fyllimengi
- Insieme complemento
- Komplemen (teori himpunan)
- Komplement
- Komplement (mengdelære)
- Komplement (Mengenlehre)
- Komplement i mengdelære
- Komplement množice
- Komplemento (aroteorio)
- Komplemento (teorya ng pangkat)
- Komplement skupa
- Komplementti (joukko-oppi)
- m.0f65d
- Osagarri (multzo-teoria)
- Pelengkap (teori set)
- Phần bù
- php array format
- Q242767
- Дапаўненне мностваў
- Доповнення множин
- Комплемент
- Разлика (теория на множествата)
- Разность множеств
- Туллилетев (йышсен теорийĕ)
- משלים (מתמטיקה)
- متمم (نظریه مجموعهها)
- مجموعة مكملة (نظرية المجموعات)
- நிரப்பு கணம்
- ส่วนเติมเต็ม
- የውጭ ስብስብ
- 差集合
- 补集
- 여집합
- SeeAlso
- List of set identities
- Relations
- Subject
- Category:Basic concepts in set theory
- Category:Operations on sets
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- enComplement
- enComplement Set
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- Wikipage page ID
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