absteigenden

Absteigenden is the inflected form of the present participle absteigen, used in German as an adjective to denote something that is descending or declining. The form absteigenden appears when the noun it modifies is plural and has a definite article or a determiner in the dative or accusative cases, for example die absteigenden Kurven or mit den absteigenden Temperaturen.

Etymology and usage: The verb absteigen means to descend, dismount, or move downward. As a participle, absteigend describes a direction or trend and can function attributively or predicatively. In standard mathematical or scientific language, the related adjective absteigend is common for describing monotone decreases, as in absteigende Folgen (decreasing sequences) or absteigende Werte (descending values).

Contexts and examples: In mathematics, one speaks of eine absteigende Folge, meaning a sequence whose elements decrease monotonically. In physics or meteorology, man kann von absteigenden Temperaturen sprechen, describing a downward trend in temperature. In everyday language, a phrase like die absteigenden Kurven im Diagramm conveys that the curves move downward. The form absteigenden is the plural attributive ending used after definite determiners in nominative, accusative, or dative cases.

Notes: Absteigenden is not a standalone noun; it is a declined participle used as an adjective. For related concepts, see absteigen (to descend), absteigend (the uninflected form in singular), and Abstieg (descent).