
die Steigerung
increase
A rise or increase in something, for example with regard to amount, intensity, value, or quality.
Das Unternehmen meldete eine Steigerung des Gewinns um 15 Prozent.
The company reported an increase in profit of 15 percent.
increase / comparison
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increase
A rise or increase in something, for example with regard to amount, intensity, value, or quality.
Das Unternehmen meldete eine Steigerung des Gewinns um 15 Prozent.
The company reported an increase in profit of 15 percent.

comparison
In grammar, the formation of the comparative forms of adjectives and some adverbs (comparison).
Die Steigerung von „schnell“ ist „schneller“ und „am schnellsten“.
The comparison of 'schnell' (fast) is 'schneller' (faster) and 'am schnellsten' (fastest).

climax
A rhetorical device (climax) in which a series of expressions is arranged in increasing intensity or importance in order to strengthen the effect.
Seine Rede endete mit einer dramatischen Steigerung: „Wir kamen, wir sahen, wir siegten!“
His speech ended with a dramatic climax: 'We came, we saw, we conquered!'
'Steigerung' (increase/comparison) is a noun derived from the verb 'steigern' (to increase, to intensify). The ending '-ung' turns the verb into a feminine noun that describes the process or result of the action.
Die Firma plant, die Produktion im nächsten Jahr zu steigern.
The company plans to increase production next year.
You can easily recognize the meaning from the context. If it is about numbers, business, or quantities, an increase is meant. In the context of language and grammar, it is about adjectives. In literary analysis, the rhetorical device is meant.
Wir verzeichneten eine Steigerung der Besucherzahlen.
We recorded an increase in visitor numbers.
When an increase is described with numbers, fixed prepositions are used. 'Eine Steigerung um' (an increase of/by) names the difference, while 'eine Steigerung von ... auf ...' (an increase from ... to ...) gives the starting and ending value.
Es gab eine Steigerung um 20 Prozent.
There was an increase of 20 percent.
In an economic context, 'Steigerung' (increase) is often combined with verbs such as 'verzeichnen' (to record), 'erzielen' (to achieve), or 'melden' (to report). Typical adjectives are 'deutliche' (significant), 'enorme' (enormous), or 'leichte' (slight) Steigerung.
Das Unternehmen konnte eine deutliche Steigerung des Umsatzes verzeichnen.
The company was able to record a significant increase in revenue.
improvement / correction
Both words can describe better performance or quality. „Die Verbesserung“ mainly evaluates the result as better, while „die Steigerung“ emphasizes an increase or rise and often specifies a measurable amount or intensity. Choose „Verbesserung“ for quality and „Steigerung“ for something becoming more or higher.

Die Steigerung der Bildauflösung um zehn Prozent war messbar.
The ten percent increase in image resolution was measurable.
Die Verbesserung der Bildqualität ist auf dem neuen Foto gut zu sehen.
The improvement in image quality is clearly visible in the new photo.