given
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given
Describes something that exists as a fact or serves as a starting point for a consideration or action; a specific, concrete situation or condition.
Unter den gegebenen Umständen können wir das Projekt nicht fortsetzen.
Under the given circumstances, we cannot continue the project.
`gegeben` (given) is the past participle of the verb `geben` (to give). Used as an adjective, it means something like 'existing' or 'established'.
Wir müssen mit den gegebenen Fakten arbeiten.
We have to work with the given facts.
The word `gegeben` (given) is often part of fixed expressions. Very common ones are 'unter den gegebenen Umständen' (under the given circumstances) and 'zu gegebener Zeit' (in due course / at the appropriate time).
Unter den gegebenen Umständen ist das die beste Lösung.
Under the given circumstances, this is the best solution.
As an adjective, `gegeben` (given) almost always comes directly before a noun. For example, you can use it to describe 'die gegebene Situation' (the given situation) or 'die gegebenen Möglichkeiten' (the given possibilities).
Innerhalb des gegebenen Zeitrahmens ist die Aufgabe nicht zu schaffen.
Within the given time frame, the task cannot be completed.
available / present
'vorhanden' and 'gegeben' can both express that something is there or applies as a fact. 'vorhanden' fits especially when you are asking whether something exists or is available, for example material, money, or information. 'gegeben' often sounds more formal and refers more to a specific situation, condition, or fact that is being assumed. The words can be confused because neither simply means 'visibly there'. If you want to check practically whether something is there, 'vorhanden' is more natural. If you are talking about conditions or a situation, 'gegeben' is more precise.
Unter den gegebenen Bedingungen können wir das Projekt nicht schneller abschließen.
Under the given conditions, we cannot complete the project any faster.
Im Kurs sind genug Bücher für alle Teilnehmer vorhanden.
There are enough books available in the course for all participants.