Hozzárendelésével

Hozzárendelésével is a form derived from the Hungarian noun hozzárendelés, which denotes the act or result of assigning or linking elements from one set to elements of another. The verb hozzárendelni means to assign, to attach, or to map, and the noun hozzárendelés covers the general idea of such an assignment or mapping. The suffix -ével attaches to the noun to form the instrumental case "hozzárendelésével," meaning with its assignment or by means of its assignment. This instrumental form is used in formal prose to indicate the instrument or method by which a process is carried out.

In mathematics, logic and related disciplines, hozzárendelés is commonly used to describe a relation that associates elements of a domain with elements of a codomain; when every domain element is associated with exactly one codomain element, the concept aligns with the usual notion of a function. The term can be used synonymously with leképezés or függvény in some contexts, though usage may vary by field.

In other contexts, hozzárendelés can refer to attribution or assignment of properties, roles, or resources within theories, models, or linguistic analyses. The form hozzárendelésével carries a nuance of describing the means or mechanism by which such an assignment is performed or specified.

Etymology: the word derives from the verb hozzárendelni, formed by combining the prefix hozzá- with rendelni; the noun form is hozzárendelés, and the instrumental suffix -ével yields hozzárendelésével. See also hozzárendelés, leképezés, függvény, reláció.