parverdier

Parverdier is a term used in some Nordic-language mathematical and informatics texts to denote the two components of a paired value. The word is formed from par meaning pair and verdier meaning values, and it is often translated as the values of a pair or the components of a tuple. The concept aligns with the idea of an ordered pair in set theory and computer science.

Formal definition and notation: If P is a pair (a, b) with a belonging to a set A and b belonging to a set B, then a and b are the parverdier of P. In formal language, parverdier are the elements that constitute the Cartesian product A×B, with P as a member of that product. Notation for parverdier typically uses parentheses or angle brackets, such as (a, b) or ⟨a, b⟩, to emphasize the ordered nature of the two values.

Properties and distinctions: The order of parverdier matters; exchanging the two components generally yields a different parverdi unless the two values are identical (a = b). Parverdier can form the basic building blocks of more complex structures, such as tuples in programming, edges in graphs (where an edge is a parverdi between two vertices), or records in databases.

Applications and related concepts: Parverdier are used in teaching discrete mathematics, in database design to represent tuples, and in graph theory where edges are modeled as parverdier of vertex pairs. Related terms include Cartesian product, ordered pair, tuple, and key-value pairs in data models.

See also: Cartesian product, ordered pair, tuple, graph edge, data tuple.