superiority
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superiority
The state of being better, stronger, or more highly developed than others in a particular respect, such as strength, ability, knowledge, or quality.
Die technische Überlegenheit ihres Produkts sicherte der Firma den Markterfolg.
The technical superiority of their product secured the company's success in the market.
'Die Überlegenheit' is the noun related to the adjective 'überlegen' (superior). If you know that 'überlegen' means 'superior', you can easily derive the meaning of the noun.
Die Mannschaft war dem Gegner in allen Belangen überlegen.
The team was superior to its opponent in every respect.
'Überlegenheit' (superiority) is often specified by an adjective that names the area of strength. Common combinations are 'technische Überlegenheit' (technical superiority), 'militärische Überlegenheit' (military superiority), 'wirtschaftliche Überlegenheit' (economic superiority), or 'zahlenmäßige Überlegenheit' (numerical superiority).
Die zahlenmäßige Überlegenheit der gegnerischen Armee war erdrückend.
The numerical superiority of the opposing army was overwhelming.
The context shows whether objective strength (m01) or arrogant behavior (m02) is meant. If the word refers to facts such as technology or numbers, it is neutral. If it describes a person's behavior, it is negative.
Die technische Überlegenheit des neuen Modells ist offensichtlich.
The technical superiority of the new model is obvious.
advantage
'der Vorteil' and 'die Überlegenheit' both have to do with being in a better position. An advantage is a single benefit or favorable circumstance, for example more time, a good location, or special information. Superiority more strongly describes the state of someone or something being better, stronger, or more capable overall than others. Learners may confuse the words because both are used in comparisons. A practical rule: an advantage can lead to superiority, but it is not the same as superiority.
Im zweiten Satz zeigte die Spielerin ihre klare Überlegenheit.
In the second set, the player showed her clear superiority.
Ein früher Start ist bei dieser Wanderung ein großer Vorteil.
An early start is a big advantage on this hike.