exponentiell
exponential
Describes growth or an increase that accelerates faster and faster. Something increases disproportionately strongly.
EXAMPLE
Die Zahl der Infektionen stieg exponentiell an.
The number of infections increased exponentially.
exponentiell
exponential
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Meanings
exponentiell
exponential
In mathematics, based on an exponent or relating to an exponential function.
EXAMPLE
Die Kurve beschreibt eine exponentielle Funktion mit der Basis e.
The curve describes an exponential function with base e.
Usage tips
Word structure
The adjective 'exponentiell' (exponential) is derived from the noun 'der Exponent' (the exponent in mathematics). It describes growth that is as strong as in exponentiation.
EXAMPLE
Das exponentielle Wachstum der Stadtbevölkerung führt zu neuen Herausforderungen.
The exponential growth of the urban population is creating new challenges.
Typical collocations
In its general meaning, 'exponentiell' (exponential) is almost always combined with verbs of change, for example 'exponentiell wachsen' (to grow exponentially), 'exponentiell ansteigen' (to rise exponentially), or 'exponentiell zunehmen' (to increase exponentially).
EXAMPLE
Die Nutzung von sozialen Medien ist in den letzten Jahren exponentiell gewachsen.
The use of social media has grown exponentially in recent years.
Use as an adverb
'Exponentiell' (exponentially) is very often used as an adverb to describe the manner of an increase. It then remains unchanged in the sentence and refers to the verb.
EXAMPLE
Die Datenmenge im Internet wächst exponentiell.
The amount of data on the internet is growing exponentially.
Context clue
You can recognize the purely mathematical meaning from the context. When 'Funktion' (function), 'Gleichung' (equation), or 'Kurve' (curve) is mentioned, the technical meaning is usually intended.
EXAMPLE
Im Unterricht analysieren wir heute die Eigenschaften der exponentiellen Gleichung.
In class today, we are analyzing the properties of the exponential equation.
Compare with
exponentiell vs geometrisch
geometric
Here, „geometrisch“ describes the shape or arrangement of lines and other figures. „Exponentiell“, by contrast, describes particularly rapid growth or, mathematically, an exponential function. „Geometrisch“ is appropriate for the shape of a curve, while „exponentiell“ describes its corresponding growth pattern.
exponentiell
Die Kurve im Diagramm zeigt ein exponentielles Wachstum.
The curve in the diagram shows exponential growth.
geometrisch
Die Linien im Diagramm bilden ein geometrisches Muster.
The lines in the diagram form a geometric pattern.
In real life
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