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Pronunciation varies by accent · adjective
(mathematics, of a family of functions) Having the property that there exists a positive number M such that for all functions f in the family of functions F defined on X, |f(x)| ≤ M for all x in X..
The stability is shown to be uniform with respect to the singular parameter or the solutions are shown to be equibounded.
An important example of such a semigroup in infinite dimensional Hilbert space is the weak operator closed monothetic semigroup generated by a linear operator with equibounded iterates.
Use equibounded when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Equibounded means (mathematics, of a family of functions) Having the property that there exists a positive number M such that for all functions f in the family of functions F defined on X, |f(x)| ≤ M for all x in X..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
The stability is shown to be uniform with respect to the singular parameter or the solutions are shown to be equibounded.
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