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How to use nonempty in a sentence

Looking for sentences and phrases with the word nonempty? Here are some examples.

Sentence Examples
For example, when proving that every bounded nonempty set X of real numbers has a least upper bound a, one proceeds as follows.
For instance, the intersection of a fuzzy subset and its complement may be nonempty.
Constraints on the strategies are described by a nonempty, closed, convex set K, model which covers most cases of practical interest.
Note that the presence of a given column in a pre-cluster uniquely determines the contents and relative position of the rows which have nonempty entries in that column.
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