vernachlässigbarem

Vernachlässigbarem is the dative singular masculine or neuter form of the German adjective vernachlässigbar, meaning “negligible” or “able to be neglected.” The term is used to describe quantities, effects, or factors whose impact is small enough to be ignored in analysis or decision making. In technical writing, vernachlässigbar describes terms that do not affect outcomes within the required precision.

In grammar, vernachlässigbar behaves like a standard German adjective. The form vernachlässigbarem appears in the dative case with masculine or neuter nouns, for example: dem vernachlässigbaren Risiko (the negligible risk) or mit vernachlässigbarem Aufwand (with negligible effort). It can also occur in other dative phrases with different determiners, such as einem vernachlässigbaren Rest. The base form vernachlässigbar is used in the other cases and numbers: vernachlässigbares Risiko (nominative neuter), vernachlässigbare Kosten (nominative plural).

Usage notes emphasize its role in limiting or simplifying analyses. In mathematics, physics, economics, and engineering, a quantity described as vernachlässigbar is considered small enough that its omission does not materially change results under the given approximation or tolerance. The term helps characterize models, errors, or risks that are effectively insignificant for the task at hand.

Etymology: The adjective is formed from the verb vernachlässigen (“to neglect”) combined with the suffix -bar, meaning “able to be.” This construction is typical for German adjectives signaling possibility or suitability.

See also: unbedeutend, geringfügig, unwesentlich, negligible.