
eindringen
to intrude
To gain access to a place by force or without permission.
Die Diebe sind durch ein Kellerfenster in das Haus eingedrungen.
The thieves intruded into the house through a basement window.
to penetrate / intrude
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to intrude
To gain access to a place by force or without permission.
Die Diebe sind durch ein Kellerfenster in das Haus eingedrungen.
The thieves intruded into the house through a basement window.

to penetrate
To get into something or pass through it. Can refer to liquids, light, sounds, or also abstract things.
Durch das Leck im Dach konnte Wasser in den Dachboden eindringen.
Through the leak in the roof, water was able to penetrate the attic.

to pressure someone
To persistently and forcefully persuade or pressure someone to do something.
Seine Eltern drangen auf ihn ein, endlich sein Studium abzuschließen.
His parents pressured him to finally finish his studies.
'Eindringen' (to penetrate / intrude) is a separable verb. The prefix 'ein-' goes at the end in main clauses. In subordinate clauses and in the infinitive, the verb stays together.
Der Dieb drang nachts in das Museum ein.
The thief broke into the museum at night.
The verb consists of the prefix 'ein-' (into) and the verb 'dringen' (to press, push). The literal meaning is therefore to push or force one's way into something, often against resistance.
Der Splitter ist tief in die Haut eingedrungen.
The splinter penetrated deep into the skin.
The preposition changes depending on the meaning. With physical penetration or intrusion (into a place or material), you use 'in' + accusative. When pressuring someone, it is 'auf' + accusative.
Feuchtigkeit ist in die Wand eingedrungen.
Moisture penetrated the wall.
In the context of unauthorized entry, 'eindringen' (to intrude) is often combined with places. Typical phrases are: 'in ein Haus eindringen' (to break into a house), 'in ein fremdes Gebiet eindringen' (to invade foreign territory), or, in a digital sense, 'in ein Netzwerk eindringen' (to penetrate a network).
Hacker sind in die Datenbank des Unternehmens eingedrungen.
Hackers penetrated the company's database.
to chop / hack
Hacken and eindringen can both describe gaining unauthorized access to a computer system. Hacken usually focuses on the system being attacked as the object: You hack a network. Eindringen emphasizes gaining access and is usually used with „in“ (into).

Die Täter drangen ohne Erlaubnis in das Firmennetzwerk ein.
The perpetrators broke into the company's network without permission.
Die Täter hackten das Firmennetzwerk und stahlen wichtige Daten.
The perpetrators hacked the company's network and stole important data.