Usage examples of "defined" in English with translation to German

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Vectors need not correspond to a physical quantity; anything can be a vector space as long as vector addition and scalar multiplication is defined. Vektoren müssen keiner physikalischen Größe entsprechen; viele Strukturen können einen Vektorraum bilden, solange die Vektoraddition und die Multiplikation mit Skalaren definiert sind.
Plato having defined man to be a two-legged animal without feathers, Diogenes plucked a cock and brought it into the Academy, and said, "This is Plato’s man." On which account this addition was made to the definition,—"With broad flat nails." Als Plato einen Menschen als zweibeiniges Tier ohne Federn definiert hatte, rupfte Diogenes einen Hahn, brachte ihn in die Akademie und sagte „Das ist Platos Mensch,“, weswegen dieser Zusatz zur Definition hinzugefügt wurde: „Mit breiten, flachen Nägeln.“
Can you clearly define this word? Kannst du dieses Wort eindeutig definieren?
I would define, in brief, the poetry of words as the Rhythmical Creation of Beauty. Ich würde die Poesie von Worten kurz als Rhythmische Erzeugung von Schönheit definieren.
There is a second way to define the Gabriel-Roiter measure which may be more intuitive. Es gibt eine zweite Art und Weise, das Gabriel-Roiter-Maß zu definieren, die intuitiver sein dürfte.
In most countries, with the exception of the Arab countries and Israel, Saturday and Sunday are defined as the weekend. In den meisten Ländern, mit Ausnahme der arabischen Länder und Israels, gelten Samstag und Sonntag als Wochenende.
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