to notice / remark
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to notice
To be able to recognize a certain state (such as tiredness, joy, nervousness) from someone's appearance, behavior, or voice.
Man hat ihr die Nervosität vor der Prüfung deutlich angemerkt.
You could clearly notice her nervousness before the exam.
to remark
To make a comment; to say something as an addition or criticism.
Abschließend möchte ich anmerken, dass nicht alle mit dem Vorschlag einverstanden waren.
In closing, I would like to remark that not everyone agreed with the proposal.
'Anmerken' (to notice / remark) is a separable verb. In a main clause, the prefix 'an' stands at the end. In subordinate clauses or in the infinitive with 'zu', the verb stays together.
Man merkt ihm seine schlechte Laune sofort an.
You can immediately notice his bad mood.
In this meaning, the verb has a fixed structure: the person in whom something is noticed is always in the dative. What is noticed is in the accusative.
Ich habe meiner Kollegin die Müdigkeit nicht angemerkt.
I did not notice my colleague's tiredness.
When making a comment, 'anmerken' (to remark) is often used with a 'dass' clause or a direct object (the comment).
Ich möchte anmerken, dass wir im Zeitplan liegen.
I would like to remark that we are on schedule.
The phrase 'Ich möchte anmerken, dass...' (I would like to remark that...) is often used in formal contexts such as meetings, discussions, or written language to introduce a thought.
Der Redner merkte an, dass die bisherigen Ergebnisse unzureichend seien.
The speaker remarked that the results so far were insufficient.
to look at / to watch
Both ansehen and anmerken can express recognizing someone's condition. Ansehen refers to visible signs in a person's appearance or behavior. Anmerken is broader and also works when, for example, someone's voice reveals their condition.
Am Telefon merkt man ihr die Müdigkeit sofort an.
You can tell immediately that she is tired on the phone.
Als sie ins Büro kommt, sieht man ihr die Müdigkeit sofort an.
When she comes into the office, you can tell immediately that she is tired.
