note
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note / annotation
A short written note, annotation, or remark placed on a document, in a file, or in a digital file in order to record or add information.
Der Sachbearbeiter machte einen Vermerk auf dem Antrag, dass noch Unterlagen fehlen.
The clerk made a note on the application saying that documents were still missing.
'Der Vermerk' (note / annotation) is the noun related to the verb 'vermerken' (to record something in writing). The noun describes the result of this action: the note itself.
Der Beamte vermerkte das Datum des Eingangs auf dem Brief.
The official noted the date of receipt on the letter.
This noun is very often used with the verb 'machen' (to make): 'einen Vermerk machen' (to make a note). The note is then typically found 'in' a file or 'auf' a document.
Die Sekretärin machte einen Vermerk in seinem Kalender.
The secretary made a note in his calendar.
The word 'Vermerk' (note / annotation) belongs to formal administrative and office language. It sounds more official than the everyday word 'Notiz' (note).
Bitte fügen Sie den Vermerk „Vertraulich“ auf dem Umschlag hinzu.
Please add the note 'Confidential' to the envelope.
remark / note
Both words can refer to a short written addition to a document. Anmerkung usually explains or comments on some content. Vermerk, by contrast, records objective information on a document or in a file.
Auf dem Formular hält ein Vermerk fest, wann es geprüft wurde.
A note on the form records when it was checked.
Auf dem Formular erklärt eine Anmerkung, warum eine Angabe fehlt.
A note on the form explains why a piece of information is missing.
