monotonicity

Noun

Meaning

(mathematics, physics) The state of being monotonic.

(mathematical analysis) Said of a positive measure: the property of a positive measure of a measure space, that given two measurable sets where the first set is contained in the second one, then the measure of the first set must be less than or equal to the measure of the second set.

Source: en.wiktionary.org

Synonyms

Examples

The above definition of monotonicity is relevant in these cases as well. Source: Internet

The probability of the empty set : Monotonicity : The numeric bound It immediately follows from the monotonicity property that : Proofs The proofs of these properties are both interesting and insightful. Source: Internet

This follows from the monotonicity of measures. Source: Internet

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