Inclusion-Exclusion Principle
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical principle
|
| gptkbp:alternativeName |
gptkb:PIE
Sieve principle |
| gptkbp:appliesTo |
gptkb:Probability_theory
Finite sets |
| gptkbp:field |
Combinatorics
|
| gptkbp:firstPublished |
19th century
|
| gptkbp:form |
|A ∪ B| = |A| + |B| − |A ∩ B|
|
| gptkbp:generalizes |
|A₁ ∪ A₂ ∪ ... ∪ Aₙ| = Σ|Aᵢ| − Σ|Aᵢ ∩ Aⱼ| + Σ|Aᵢ ∩ Aⱼ ∩ Aₖ| − ... + (−1)ⁿ⁺¹|A₁ ∩ ... ∩ Aₙ|
|
| https://www.w3.org/2000/01/rdf-schema#label |
Inclusion-Exclusion Principle
|
| gptkbp:namedAfter |
gptkb:Augustus_De_Morgan
|
| gptkbp:relatedConcept |
gptkb:Bonferroni_inequalities
gptkb:Sieve_of_Eratosthenes Mobius inversion formula |
| gptkbp:relatedTo |
Principle of Inclusion-Exclusion
|
| gptkbp:used_in |
gptkb:Number_theory
gptkb:Set_theory Computer science Enumerative combinatorics Probability calculations |
| gptkbp:usedFor |
Counting the size of the union of sets
|
| gptkbp:bfsParent |
gptkb:Sieve_Methods
|
| gptkbp:bfsLayer |
8
|