High Quality Content by WIKIPEDIA articles! In linguistic semantics, a downward entailing (in short: "DE") expression is one that denotes a monotone decreasing function. A downward entailing expression reverses the relation of semantic strength among expressions. An expression like "run fast" is semantically stronger than the expression "run" since the former is true of fewer things than the latter.In mathematics, a monotonic function (or monotone function) is a function which preserves the given order. This concept first arose in calculus, and was later generalized to the more abstract setting of order theory.

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