Adjectives agree with their head word in case, number, gender and definiteness.
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In these languages, the inflections indicating definiteness may be quite complex.
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Also, I don't see why notability or definiteness of the topic is an issue here.
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Giveness, contrastiveness, definiteness, subjects, topics, and point of view.
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The assumption, in its weakest form, is called counterfactual definiteness.
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Swedish nouns are inflected for number and definiteness and can take a genitive suffix.
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In some languages, the definiteness of the object affects the transitivity of the verb.
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The indefinite article exists only in the singular, where its absence marks definiteness.
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Note that condition 1 and 2 together produce positive definiteness.
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More examples
Determinateness: the quality of being predictable with great confidence
In grammatical theory, definiteness is a feature of noun phrases, distinguishing between entities which are specific and identifiable in a given context (definite noun phrases) and entities which are not (indefinite noun phrases).
The state or quality of being definite
A matrix A is positive definite if x^T A x > 0 for all nonzero x. Positive definite matrices have other interesting properties such as being nonsingular, having its largest element on the diagonal, and having all positive diagonal elements. ...
"Each step of an algorithm must be precisely defined; the actions to be carried out must be rigorously and unambiguously specified for each case."