jau

In a sentence

• Aš jau padariau savo namų darbus.

  I have already done my homework.

  'Jau' is emphasizing that the action has been completed already, indicating a sense of time or immediacy.

• Ar jau atėjai?

  Have you arrived already?

  'Jau' is used to inquire if the action of arriving has already occurred, denoting prior time.

• Aš jau seniai čia.

  I have been here for a long time.

  'Jau' reinforces the aspect of duration, suggesting the duration has started in the past and continues or is emphasized.