to derive
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to derive
To develop or prove something (a formula, a rule, a conclusion) through logical thinking or a step-by-step derivation from something else.
Im Physikunterricht haben wir gelernt, wie man das Fallgesetz aus einfachen Prinzipien herleitet.
In physics class, we learned how to derive the law of falling bodies from simple principles.
to derive from
To have its origin in something; to descend from something or to have developed from something.
Das Wort 'Demokratie' leitet sich von den altgriechischen Wörtern für 'Volk' und 'Herrschaft' her.
The word 'democracy' derives from the Ancient Greek words for 'people' and 'rule.'
'Herleiten' (to derive) is a separable verb. The prefix 'her-' goes to the end in a main clause. In subordinate clauses and in the infinitive with 'zu', the verb stays together.
Der Professor leitet die Formel an der Tafel her.
The professor derives the formula on the board.
This verb has two main patterns: you can actively use 'etwas aus etwas herleiten' (to derive something from something) (meaning 1), or it describes an origin with 'etwas leitet sich von etwas her' (something derives from something) (meaning 2). Pay attention to the prepositions 'aus' and 'von' and the reflexive pronoun 'sich'.
Man kann die Lösung aus den gegebenen Informationen herleiten.
One can derive the solution from the given information.
In the meaning 'ableiten' (to derive), 'herleiten' (to derive) is almost always used in a logical, scientific, or mathematical context. It is about proving a conclusion, rule, or formula step by step.
Können Sie herleiten, warum dieses Ergebnis korrekt ist?
Can you derive why this result is correct?
When it is about the origin of words, names, or customs, the reflexive construction 'sich herleiten von' (to derive from) + dative is always used. The subject is the thing whose origin is being described.
Dieser Brauch leitet sich von einem heidnischen Ritual her.
This custom derives from a pagan ritual.
to originate
Stammen and sich herleiten von can both name the origin of a designation. Stammen focuses primarily on its origin. Sich herleiten von emphasizes that the designation developed from another form. The sentence constructions also differ: something stammt von something, but leitet sich von something her.
Der Name leitet sich von einer alten Berufsbezeichnung her.
The name derives from an old occupational term.
Der Name stammt von einem alten Beruf.
The name comes from an old occupation.
