progression
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progression
A gradual development, advancement, or increase. This can refer to processes, conditions, or sequences, often in connection with illnesses or developments over time.
Die Ärzte versuchen, die Progression der Krankheit zu verlangsamen.
The doctors are trying to slow the progression of the disease.
progressive taxation
In tax law, the principle that the tax rate increases as income or wealth rises. This is referred to as tax progression.
Wegen der kalten Progression hat er trotz Gehaltserhöhung netto kaum mehr Geld in der Tasche.
Because of bracket creep, he has hardly any more net money in his pocket despite his salary increase.
progression
In mathematics, a sequence of numbers in which the terms follow from one another according to a specific rule, as in an arithmetic or geometric progression.
Die Zahlenfolge 2, 4, 8, 16 ist ein Beispiel für eine geometrische Progression.
The number sequence 2, 4, 8, 16 is an example of a geometric progression.
The related adjective is 'progressiv' (progressive). It means 'fortschreitend' (advancing) or 'sich steigernd' (increasing) and fits all meanings of the noun, for example a progressive course of disease or a progressive tax rate.
Die Partei fordert einen progressiveren Steuertarif.
The party is calling for a more progressive tax schedule.
'Progression' is a technical and educated term. It is used in specific contexts such as medicine, finance, or mathematics, but rarely in everyday colloquial speech.
Der Vortrag handelte von der Progression chronischer Erkrankungen.
The lecture was about the progression of chronic diseases.
The meaning of 'Progression' (progression) becomes very clear from the context. Words like 'Krankheit' (disease) or 'Symptome' (symptoms) point to the medical meaning, 'Steuer' (tax) or 'Einkommen' (income) to the financial meaning, and 'Zahlen' (numbers) or 'Folge' (sequence) to the mathematical meaning.
Bei dieser Krankheit ist eine schnelle Progression typisch.
With this disease, rapid progression is typical.
In the tax context, the term 'kalte Progression' (bracket creep) is a very common and important expression. It describes the effect whereby a salary increase is eaten up again by inflation and a rising tax rate.
Die Regierung diskutiert Maßnahmen gegen die kalte Progression.
The government is discussing measures against bracket creep.
consequence / episode
A Folge is generally an ordered series of numbers. A Progression is a specific type of Folge whose terms are generated according to a fixed rule, for example by regularly adding or multiplying. Without such a rule, Folge is the better choice.
Die Zahlen 2, 4, 8 und 16 bilden eine geometrische Progression.
The numbers 2, 4, 8, and 16 form a geometric progression.
Die Zahlen 2, 5, 9 und 14 bilden eine Folge.
The numbers 2, 5, 9, and 14 form a sequence.
