exhibition / issuing
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exhibition
A public presentation of objects, especially works of art, in a museum, gallery, or at a trade fair.
Am Wochenende besuchen wir die neue Foto-Ausstellung im Kunstmuseum.
At the weekend, we're visiting the new photography exhibition at the art museum.
'Ausstellung' (exhibition / issuing) is a noun derived from the verb 'ausstellen' (to exhibit / to issue). The ending '-ung' forms nouns from verbs, and these nouns are always feminine, hence 'die Ausstellung'.
Die Künstlerin stellt ihre neuen Werke aus.
The artist is exhibiting her new works.
The context makes the meaning clear. If it is about art, museums, or galleries, it refers to a presentation of objects. If it is about authorities, passports, or documents, it refers to the act of issuing or creating something.
Die Ausstellung moderner Skulpturen hat mir gut gefallen.
I really liked the exhibition of modern sculptures.
In connection with an art presentation, you often use the verbs 'eine Ausstellung besuchen' (to visit an exhibition), 'besichtigen' (to view), or 'eröffnen' (to open). Common word combinations are 'Kunstausstellung' (art exhibition) or 'Fotoausstellung' (photography exhibition).
Nächste Woche wird im Rathaus eine neue Ausstellung eröffnet.
A new exhibition will open at city hall next week.
The meaning 'creation of a document' is typical of formal official and administrative language. The genitive is often used to indicate what is being issued.
Für die Ausstellung eines Führerscheins benötigen Sie mehrere Unterlagen.
For the issuing of a driver's license, you need several documents.
museum
'das Museum' and 'die Ausstellung' often go together because you can visit exhibitions in museums. A 'Museum' is the place or institution that collects, preserves, and displays things. An 'Ausstellung' is the presentation itself, that is, a specific show of artworks or other objects. Learners easily confuse the words because in everyday life people say, 'Ich gehe ins Museum' (I'm going to the museum), even though what they actually look at there is an exhibition. 'Museum' means the place; 'Ausstellung' means the program or the objects being shown.
Die Ausstellung über moderne Fotografie endet nächste Woche.
The exhibition on modern photography ends next week.
Heute besuchen wir mit der Familie das Museum am Fluss.
Today we are visiting the museum by the river with the family.