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Norwegian both adds a prepositive article and keeps the postpositive.
The unconjugated prepositive negative particle lis developed out of the classical verb laisa.
Attributive adjectives are usually prepositive, i.e. they precede superior nouns.
However, in Danish, when a noun is modified by an adjective, a prepositive definite article is used instead of the postpositive one.
A prepositive cone or preordering of a field F is a subset P F that has the following properties:
A proof that if F satisfies these three properties, then F admits an ordering uses the notion of prepositive cones and positive cones.
Although the latter is higher-order, viewing positive cones as maximal prepositive cones provides a larger context in which field orderings are extremal partial orderings.
The definite article, -en, -et, -(e)ne, is postpositive as in the other Scandinavian languages save the West Jutlandic dialect of Danish, which has the prepositive æ (inflexible).
The indefinite article, en, et, is prepositive as in all European languages that have an indefinite article, and the origin of the word is the same as in the other Germanic languages, namely the numeral én, ét "one" .
Suppose 1 is not a sum of squares, then a Zorn's Lemma argument shows that the prepositive cone of sums of squares can be extended to a positive cone P F. One uses this positive cone to define an ordering: a b if and only if b-a belongs to P.
Yet, Danish only uses the postpositive article when the noun does not carry an attributive adjective or a genitive, while otherwise a prepositive den, det, de is used instead (whereas Norwegian uses the prepositive and the postpositive articles at the same time in such cases):
