
die Vorstellung
idea
An image, idea, or thought that one forms in one's mind about something or someone.
Ich habe eine klare Vorstellung davon, wie mein Haus aussehen soll.
I have a clear idea of what my house should look like.
idea / performance / introduction
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idea
An image, idea, or thought that one forms in one's mind about something or someone.
Ich habe eine klare Vorstellung davon, wie mein Haus aussehen soll.
I have a clear idea of what my house should look like.

performance / showing
A performance or showing in a theater, cinema, or circus that takes place at a specific time.
Die Vorstellung beginnt um 20 Uhr.
The performance starts at 8 p.m.

introduction
The act in which one person is introduced to another person or to a group, often in a formal context such as a job interview.
Nach der kurzen Vorstellung der Kandidaten begann die Diskussion.
After the brief introduction of the candidates, the discussion began.

notion / belief
A fixed opinion, view, or belief, often in relation to moral or social values.
Er hat sehr altmodische Vorstellungen von der Rolle der Frau.
He has very old-fashioned notions about the role of women.
'Die Vorstellung' is the noun form of the separable verb 'vorstellen' (to imagine/introduce/present). The basic idea is to 'place' something 'in front of' someone or oneself: an idea before the mind's eye, a person before a group, or a piece before an audience.
Kannst du dir das vorstellen?
Can you imagine that?
In the meaning of 'Idee' (idea), the fixed expression 'eine Vorstellung von etwas (Dativ) haben' (to have an idea of something) is often used. It expresses whether one has a clear image or concept of something.
Ich habe noch keine genaue Vorstellung von meinem zukünftigen Beruf.
I don't yet have a precise idea of my future profession.
You can recognize the meaning 'Aufführung' (performance) from the context: words like 'Theater' (theater), 'Kino' (cinema), 'Karten' (tickets), 'Beginn' (start), 'Pause' (intermission), or 'ausverkauft' (sold out) clearly point to this meaning.
Gehen wir heute Abend in die Spätvorstellung?
Shall we go to the late showing tonight?
The meaning 'sich vorstellen' (to introduce oneself) is central in a professional context. The noun 'die Vorstellung' (introduction) is at the core of the important word 'das Vorstellungsgespräch' (job interview).
Die erste Runde der Vorstellungen ist abgeschlossen.
The first round of introductions is complete.
In the meaning of 'Meinung' (opinion) or 'Wert' (value), the word is very often used in the plural. One then speaks of a person's 'Vorstellungen' (notions/ideas), often in combination with adjectives such as 'moralisch' (moral), 'politisch' (political), or 'konservativ' (conservative).
Seine moralischen Vorstellungen sind sehr streng.
His moral beliefs are very strict.
picture / image
Bild and Vorstellung can both refer to something that forms in the mind. Bild usually emphasizes a vivid, clearly developed mental representation. Vorstellung is more general and can also be a still vague or abstract idea. The desired vividness determines which word to choose.

Vor dem Rundgang hatte Mia nur eine vage Vorstellung vom neuen Büro.
Before the tour, Mia had only a vague idea of the new office.
Nach dem Rundgang hatte Mia ein klares Bild vom neuen Büro.
After the tour, Mia had a clear picture of the new office.