geordneter

Geordneter is a German adjective meaning "ordered" or "arranged." It is derived from the verb ordnen (to order or arrange) with the prefix ge-, forming the participle geordnet, which serves as the base for attributive adjective forms. In standard usage, geordneter is the masculine nominative singular form, while geordnete is feminine or plural, and geordnetes is neuter.

In everyday language geordneter describes things that have been put in order or organized in a systematic way. Examples include a geordneter Ablauf (an orderly process), eine geordnete Liste (an ordered list) or ein geordnetes System (an organized system). The term is commonly contrasted with ungeordneter or ungeordnet, meaning unordered or disorganized.

In technical contexts, geordneter appears in mathematics and computer science. In German mathematics, geordnete Mengen refer to sets equipped with an order relation, i.e., ordered sets. Similarly, geordnete Paare denote ordered pairs, where the order of elements matters. In programming, people speak of geordnete Sequenzen or geordnete Datenströme to emphasize the significance of position or sequence.

Notes on usage and nuance: geordneter emphasizes that an arrangement follows a particular order or rule, as opposed to being random or arbitrary. The term is neutral and widely used across disciplines, from prose to formal definitions, and can often be substituted by synonyms such as systematisiert or strukturiert when appropriate.

See also: Ordnung, geordnete Menge, Ordnung (Mathematik), Systematik.