die Paarung
mating
The biological act of sexual union between animals for the purpose of reproduction.
Im Frühling beginnt die Paarungszeit vieler Vogelarten.
In spring, the mating season begins for many species of birds.

mating / pairing
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mating
The biological act of sexual union between animals for the purpose of reproduction.
Im Frühling beginnt die Paarungszeit vieler Vogelarten.
In spring, the mating season begins for many species of birds.

'Die Paarung' is derived from the verb 'paaren' (to pair / to mate), which means 'to make into a pair.' The base is the noun 'das Paar' (the pair / couple). This origin explains all meanings: the formation of a pair of animals, opponents, or devices.
Der Trainer paarte die stärksten Spieler für das Finale.
The coach paired the strongest players for the final.
The context makes the meaning clear. If it is about animals and reproduction, the biological meaning is intended. With words like 'Turnier' (tournament), 'Gegner' (opponent), or 'Auslosung' (draw), it is about sports or games. In connection with 'Bluetooth' or 'Geräten' (devices), the technical meaning is intended.
Die Paarung der Pinguine findet immer am selben Ort statt.
The mating of the penguins always takes place in the same location.
In a biological context, the term 'die Paarungszeit' (mating season) is very common. It refers to the specific time of year when animals reproduce.
Im Herbst beginnt für Hirsche die Paarungszeit.
In autumn, mating season begins for deer.
In a sports or game context, 'Paarung' is often combined with adjectives such as 'interessant' (interesting), 'spannend' (exciting), 'schwierig' (difficult), or 'unglücklich' (unfortunate) to evaluate the meeting of two opponents.
Das Finale verspricht eine spannende Paarung zu werden.
The final promises to be an exciting matchup.
connection / association
'Verbindung' and 'Paarung' can both mean that two things are brought together. However, 'Verbindung' is very general: it can be about a combination, a connection, or things occurring together. 'Paarung' usually means a specific pairing of two matching parts, opponents, or partners. In sports, for example, people speak of the 'Paarung' of two teams. In a technical context, it can also be about two elements that fit together. The words can be confused because both describe a combination. If it is generally about 'together with', 'Verbindung' fits. If exactly two partners, opponents, or parts are paired up, 'Paarung' is more precise.

Im Turnier steht heute die Paarung Bayern gegen Dortmund auf dem Plan.
In the tournament, the Bayern versus Dortmund matchup is scheduled for today.
Zur Vorbereitung erklärt der Lehrer die Verbindung zwischen Theorie und Praxis.
As preparation, the teacher explains the connection between theory and practice.