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An unordered pair is a finite set; its cardinality (number of elements) is 2 or (if the two elements are not distinct) 1. In axiomatic set theory, the existence of unordered pairs is required by an axiom, the axiom of pairing. More generally, an unordered n-tuple is a set of the form {a 1, a 2,... a n}. [5] [6] [7]
Unordered pair, or pair set, in mathematics and set theory; Ordered pair, or 2-tuple, in mathematics and set theory; Pairing, in mathematics, an R-bilinear map of modules, where R is the underlying ring; Pair type, in programming languages and type theory, a product type with two component types; Topological pair, an inclusion of topological spaces
2 Unordered pairs and binary sets are different and distinct concepts
In the mathematical theory of hypergraphs, a hedgehog is a 3-uniform hypergraph defined from an integer parameter .It has + vertices, of which can be labeled by the integers from to and the remaining () of which can be labeled by unordered pairs of these integers.
The ordered pair (a, b) is different from the ordered pair (b, a), unless a = b. In contrast, the unordered pair , denoted { a , b }, always equals the unordered pair { b , a }. Ordered pairs are also called 2-tuples , or sequences (sometimes, lists in a computer science context) of length 2.
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Unordered lists are those that use bullets rather than sequential numbers to begin each element. Pages in category "Wikipedia glossaries using unordered lists" The following 88 pages are in this category, out of 88 total.
There are three types of lists: unordered lists, ordered lists, and description lists (a.k.a. definition lists or association lists). In the following sections, various list types are used for different examples, but other list types will generally give corresponding results.