Hozzárendelésben

Hozzárendelésben is a term used in Hungarian to describe the state or context of a mathematical or conceptual mapping between sets. The base noun hozzárendelés refers to a correspondence or assignment that links elements of one set to elements of another. In strict mathematics, a relation R ⊆ A × B is a hozzárendelés from A to B. If every element a in A is associated with exactly one element b in B, the relation is a function f: A → B; the graph of the function is the set of ordered pairs (a, f(a)).

The phrase "hozzárendelésben" is the adverbial form used to indicate that a statement concerns the mapping or assignment itself. For example, one may describe how elements are connected or how a particular element from the domain is mapped within the given correspondence.

Beyond pure mathematics, the concept appears in related fields. In optimization and operations research, the assignment problem focuses on allocating tasks to agents in a way that minimizes cost or maximizes efficiency, effectively working with a specific hozzárendelés. In computer science, mappings from variables to values or objects are described using the same idea, though the terminology may vary (functions, relations, bindings). In linguistics and data processing, alignments and mappings between datasets or representations are also discussed in terms of hozzárendelések.

Etymology: hozzárendelés comes from hozzárendelni, meaning to assign or relate; the suffix -ben marks the in- or within-context usage. The term is standard in Hungarian mathematical and technical prose.