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sufficient
Present to an adequate degree; enough to fulfill a specific purpose or requirement. Often used in formal or scientific language.
Für eine endgültige Schlussfolgerung sind die vorliegenden Daten nicht hinreichend.
The available data are not sufficient for a final conclusion.
'Hinreichend' (sufficient) is the present participle form of the verb 'hinreichen'. This verb means 'to suffice' or 'to be enough'. So the literal meaning is 'sufficient'.
Seine Deutschkenntnisse reichen für das Studium hin.
His German skills are sufficient for university studies.
'Hinreichend' (sufficient) belongs to formal written language and is often used in scientific, legal, or administrative texts. It is rather rare in everyday colloquial speech.
Der Antrag wurde abgelehnt, da die Begründung nicht hinreichend war.
The application was rejected because the justification was not sufficient.
Often, what something is sufficient for is specified. This is done with the preposition 'für' (+ accusative) or an 'um ... zu' construction.
Die Zeit war nicht hinreichend für eine ausführliche Diskussion.
The time was not sufficient for a detailed discussion.
You can almost always recognize the mathematical or logical meaning from its combination with the word 'notwendig' (necessary). The fixed phrase is 'notwendig und hinreichend' (necessary and sufficient).
Ein bestandenes Abitur ist eine notwendige, aber nicht hinreichende Bedingung für die Zulassung zum Medizinstudium.
Having passed the Abitur is a necessary, but not sufficient, condition for admission to medical school.
enough
'genug' and 'hinreichend' both mean that something is enough for a purpose. 'Genug' is the normal everyday word and fits almost any simple situation. 'Hinreichend' sounds more formal and is used more in reports, specialist texts, or precise justifications. It emphasizes more strongly that a condition or requirement has been fulfilled. In conversations with friends, 'genug' is more natural. When something is being checked or evaluated objectively, 'hinreichend' can sound more precise.
Die Beweise sind hinreichend, um die Entscheidung zu begründen.
The evidence is sufficient to justify the decision.
Zu Hause habe ich genug Ruhe, um den Bericht zu schreiben.
At home, I have enough peace and quiet to write the report.