
erkennen
to recognize
To identify someone or something with the senses, usually the eyes, because you already know him, her, or it.
Ich habe dich sofort an deiner Stimme erkannt.
I recognized you immediately by your voice.
to recognize / realize
Loading your saved state.

to recognize
To identify someone or something with the senses, usually the eyes, because you already know him, her, or it.
Ich habe dich sofort an deiner Stimme erkannt.
I recognized you immediately by your voice.

to realize
To understand and grasp a fact, problem, or truth. It describes a mental process of understanding.
Er erkannte, dass er einen großen Fehler gemacht hatte.
He realized that he had made a big mistake.

to make out
To perceive or make out something with the senses, often only unclearly or with difficulty.
Im Nebel konnte man kaum die Straße erkennen.
In the fog, you could hardly make out the road.

to make clear
To hint at or show one's thoughts, feelings, or intentions, often nonverbally.
Sie gab deutlich zu erkennen, dass sie mit dem Vorschlag nicht einverstanden war.
She clearly made it known that she did not agree with the proposal.
'Erkennen' (to recognize / realize) is an inseparable verb with the prefix 'er-'. This prefix often points to the result of a process: you try to see or understand and are successful in the end.
Ich habe erst spät erkannt, wie wichtig diese Entscheidung war.
Only later did I realize how important this decision was.
When you identify someone or something by means of a feature, you use the preposition 'an' followed by the dative. This is a very fixed structure.
Ich erkenne ihn an seinem Lachen.
I recognize him by his laugh.
When 'erkennen' (to realize) means 'verstehen' (to understand) or 'realisieren' (to realize), it is often followed by a subordinate clause with 'dass' (that) or an infinitive construction with 'zu' (to).
Sie erkannte, dass sie Hilfe brauchte.
She realized that she needed help.
In the meaning 'etwas undeutlich sehen' (to see something unclearly), 'erkennen' (to make out) is often combined with words that describe difficulty, such as 'kaum' (hardly), 'schwer' (difficult), 'im Dunkeln' (in the dark), or 'aus der Ferne' (from a distance).
Wegen des dichten Schneefalls konnte ich das Schild kaum erkennen.
Because of the heavy snowfall, I could hardly make out the sign.
The expression 'zu erkennen geben' (to make known / make clear) is a fixed unit. It means that you show your opinion or feelings indirectly. The person to whom something is shown is in the dative.
Er gab ihr deutlich zu erkennen, dass er müde war.
He clearly made it known to her that he was tired.
to discover
Both words fit when a crack that had previously gone unnoticed becomes visible. If you notice or discover it, entdecken emphasizes finding a hidden or sought-after detail, while erkennen focuses more on perceiving the crack as such. entdecken fits a new discovery, while erkennen fits visual perception.

Im hellen Licht konnte ich den feinen Riss an der Tasse erkennen.
In the bright light, I could make out the fine crack in the cup.
Beim Abwaschen entdeckte ich den feinen Riss an der Tasse.
I discovered the fine crack in the cup while washing it.