
die Abnahme
decrease
A reduction or decline in something, for example in amount, weight, or value.
Wir verzeichnen eine deutliche Abnahme der Verkaufszahlen in diesem Quartal.
We are recording a significant decrease in sales figures this quarter.
decrease / acceptance
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decrease
A reduction or decline in something, for example in amount, weight, or value.
Wir verzeichnen eine deutliche Abnahme der Verkaufszahlen in diesem Quartal.
We are recording a significant decrease in sales figures this quarter.

acceptance
The official inspection and subsequent approval or acceptance of completed work, a building, or a delivery.
Nach der Bauabnahme durch den Architekten durfte die Familie endlich einziehen.
After the building acceptance by the architect, the family was finally allowed to move in.

purchase / acceptance
The purchase and acceptance of goods by a customer or dealer.
Der Landwirt hat einen Vertrag über die Abnahme seiner gesamten Ernte geschlossen.
The farmer has signed a contract for the purchase of his entire harvest.

taking / collection
The receiving or taking of something, for example an exam, an oath, or a sample.
Die Abnahme der Blutprobe erfolgte direkt im Krankenhaus.
The blood sample was taken directly in the hospital.
'Die Abnahme' (decrease/acceptance/taking) is the noun for the verb 'abnehmen' (to decrease / to take off / to accept). Almost every meaning of 'Abnahme' can be derived from a corresponding meaning of 'abnehmen'; for example, 'eine Prüfung abnehmen' (to administer an exam) becomes 'die Abnahme der Prüfung' (the administration of the exam).
Der Lehrer muss die Prüfung abnehmen.
The teacher has to administer the exam.
In the meaning 'Verringerung' (decrease), 'Abnahme' is often used with the preposition 'von' or a genitive attribute to say what is becoming less. Typical adjectives are 'deutlich' (significant), 'stark' (strong), or 'gering' (slight).
Wir beobachten eine deutliche Abnahme des Interesses an diesem Produkt.
We are observing a significant decrease in interest in this product.
In a technical or construction context, 'Abnahme' (acceptance) refers to the formal inspection. Here, the word often becomes part of compounds such as 'die Bauabnahme' (building acceptance/final inspection) or 'die Endabnahme' (final acceptance).
Ohne die erfolgreiche Abnahme durch den TÜV darf das Gerät nicht verkauft werden.
Without successful acceptance by the TÜV, the device may not be sold.
When it is about the purchase of goods, 'Abnahme' (purchase/acceptance) is used mainly in a business context. It often describes a contractually secured or large quantity.
Der Supermarkt garantiert dem Bauern die Abnahme der gesamten Apfelernte.
The supermarket guarantees the farmer the purchase of the entire apple harvest.
In the meaning 'entgegennehmen' (to receive/take), 'Abnahme' forms fixed combinations. Especially common are 'die Blutabnahme' (blood draw, often as a fixed word) at the doctor's office or 'die Abnahme eines Eides' (the administration of an oath) in court.
Zur Abnahme der Fingerabdrücke müssen Sie zum Amt gehen.
You have to go to the office to have your fingerprints taken.
takeover / assumption
Both words can refer to a completed work and the transfer of responsibility. Abnahme emphasizes the official inspection and approval, while Übernahme emphasizes actually accepting or continuing the work. Use Abnahme for the inspection and Übernahme when responsibility begins.

Nach der offiziellen Abnahme des fertiggestellten Gebäudes durfte es genutzt werden.
After the official inspection and approval of the completed building, it was allowed to be used.
Nach der Übernahme des fertiggestellten Gebäudes war der neue Eigentümer dafür verantwortlich.
After taking over the completed building, the new owner became responsible for it.