Ungeordnetem

Ungeordnetem is the dative singular form of the German adjective ungeordnet, meaning not ordered or unordered. The base form ungeordnet is used to describe things that lack a defined order or sequence. The form ungeordnetem appears when the noun it modifies is masculine or neuter and grammatically in the dative case, or in fixed phrases with prepositions that require the dative.

Etymology and meaning: ungeordnet derives from Ordnung (order) with the negating prefix un-; ungeordnet describes the absence of order in a structure, system, or collection. In technical and everyday language it conveys disorder, randomness, or lack of a defined arrangement.

Usage and contexts: The term is common in mathematics, computer science, and general descriptions of disorder. Examples include: in ungeordnetem Zustand (in an unordered state), aus ungeordnetem Material (from unordered material), or mit ungeordnetem Verhalten (with unordered behavior). In discussing sets, one may speak of eine ungeordnete Menge (an unordered set) or ähnliche Konstrukte, though the noun form is typically ungeordnet without inflection when used adjectivally in fixed phrases.

Grammatical notes: German adjectives inflect according to case, gender, article, and definiteness. ungeordnetem is the dative singular masculine or neuter form. With a definite article, the form typically appears as dem ungeordneten …, such as dem ungeordneten Zustand or dem ungeordneten System. Without an article, the strong inflection yields ungeordnetem in appropriate contexts, as in in ungeordnetem Zustand or aus ungeordnetem Material.

Related terms: ungeordnet (unordered), Ordnung (order), Unordnung (disorder). The concept contrasts with geordnet (ordered) and in mathematical contexts aligns with unordered collections versus sequences.