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  2. Unordered pair - Wikipedia

    en.wikipedia.org/wiki/Unordered_pair

    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]

  3. Pair - Wikipedia

    en.wikipedia.org/wiki/Pair

    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

  4. Talk:Unordered pair - Wikipedia

    en.wikipedia.org/wiki/Talk:Unordered_pair

    2 Unordered pairs and binary sets are different and distinct concepts

  5. List of order structures in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_order_structures...

    Lattices, partial orders in which each pair of elements has a greatest lower bound and a least upper bound. Many different types of lattice have been studied; see map of lattices for a list. Partially ordered sets (or posets ), orderings in which some pairs are comparable and others might not be

  6. Axiom of pairing - Wikipedia

    en.wikipedia.org/wiki/Axiom_of_pairing

    The axiom of pairing is generally considered uncontroversial, and it or an equivalent appears in just about any axiomatization of set theory. Nevertheless, in the standard formulation of the Zermelo–Fraenkel set theory, the axiom of pairing follows from the axiom schema of replacement applied to any given set with two or more elements, and thus it is sometimes omitted.

  7. Multigraph - Wikipedia

    en.wikipedia.org/wiki/Multigraph

    r : E → {{x,y} : x, y ∈ V}, assigning to each edge an unordered pair of endpoint nodes. Some authors allow multigraphs to have loops , that is, an edge that connects a vertex to itself, [ 2 ] while others call these pseudographs , reserving the term multigraph for the case with no loops.

  8. Graph (abstract data type) - Wikipedia

    en.wikipedia.org/wiki/Graph_(abstract_data_type)

    A directed graph with three vertices (blue circles) and three edges (black arrows).. In computer science, a graph is an abstract data type that is meant to implement the undirected graph and directed graph concepts from the field of graph theory within mathematics.

  9. Help : Wikipedia: The Missing Manual/Formatting and ...

    en.wikipedia.org/wiki/Help:Wikipedia:_The...

    That's an embedded list, but the code is exactly the same for standalone lists. That kind of bulleted list created with asterisks is the oldest form of Wikipedia list, and it's still the most common for standalone lists, since it's so easy to use. You can see an example in Figure 14-6. Figure 14-6.