ordered pair
Pair of mathematical objects; tuple of specific length (tuple length n=2)
EntityQ191290
Also known as (a, b) · couple · double · pair · 2-tuple
- Subclass of
- Part of
Overview
All data
22 statements · 23% with external sources · numbers in brackets are citations
- Defining formula
(a,b) = \{ \{a\}, \{a,b\} \}discovered by: Kazimierz Kuratowski · discovered: 19211
(a_1, b_1) = (a_2, b_2)\quad \Leftrightarrow \quad a_1 = a_2\text{ and }b_1 = b_2( a, b ) := \{\{ \{a\},\, \emptyset \},\, \{\{b\}\}\}discovered by: Norbert Wiener · discovered: 1914(a,b) := \{\{a,1\},\{b,2\}\}discovered by: Felix Hausdorff · discovered: 1914
On other databases
10 identifiers linking ordered pair across the web's reference databases
- Allotrope Foundation Ontology result ID0001056
- BabelNet ID00012597n
- Elhuyar ZTH ID133717
- Encyclopædia Britannica Online IDtopic/ordered-pair
- Freebase ID/m/05lr1
- JSTOR topic ID (archived)ordered-pairs
- MathWorld IDOrderedPair
- Metamath statement IDdf-op
- Microsoft Academic ID (discontinued)206106527
- NLab IDordered pair