
fallend
falling / decreasing
Moving downward or decreasing in value, amount, or intensity.
Die fallenden Blätter kündigten den Herbst an.
The falling leaves announced the arrival of autumn.
falling / decreasing
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falling / decreasing
Moving downward or decreasing in value, amount, or intensity.
Die fallenden Blätter kündigten den Herbst an.
The falling leaves announced the arrival of autumn.

falling
In economics or on the stock market, describing a tendency toward decreasing prices, rates, or interest rates.
Die Aktie zeigte trotz guter Nachrichten eine fallende Tendenz.
Despite good news, the stock showed a falling trend.

decreasing
In mathematics, a property of functions or sequences in which the values decrease or remain the same as the arguments increase.
Die Funktion f(x) = -x ist für alle x streng monoton fallend.
The function f(x) = -x is strictly monotonically decreasing for all x.
'Fallend' (falling/decreasing) is the present participle of the verb 'fallen' (to fall). It is used like an adjective and describes an ongoing action or process of moving downward or decreasing.
Vorsicht, da ist ein fallender Ast!
Careful, there is a falling branch!
When 'fallend' (falling/decreasing) stands before a noun, it is declined like any other adjective. It agrees with the noun in gender, case, and number.
Wir beobachten die fallenden Temperaturen mit Sorge.
We are watching the falling temperatures with concern.
In economic contexts, 'fallend' (falling) is often combined with terms such as 'Kurse' (stock prices/rates), 'Preise' (prices), 'Zinsen' (interest rates), or 'Tendenz' (trend/tendency).
Anleger reagieren nervös auf die fallenden Kurse.
Investors are reacting nervously to the falling stock prices.
The meaning in the mathematical context is technical language. It is used to describe the behavior of functions or sequences and is usually found in academic or school texts.
Diese Kurve ist streng monoton fallend.
This curve is strictly monotonically decreasing.
declining / retrograde
Rückläufig and fallend can both describe lower prices or economic values. Rückläufig sounds more formal and presents the development as a statistical trend. Fallend directly describes a tendency toward lower prices, share prices, or interest rates.

Die Händler rechnen in dieser Woche mit fallenden Preisen.
The traders expect prices to fall this week.
Der Jahresbericht zeigt seit Monaten rückläufige Preise.
The annual report shows declining prices for several months now.