View example sentences and word forms for Monotonicity.
Monotonicity
Monotonicity meaning
The state of being monotonic. | 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.
Example sentences (4)
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.
Monotonicity in order theory Order theory deals with arbitrary partially ordered sets and preordered sets in addition to real numbers.
The above definition of monotonicity is relevant in these cases as well.
This follows from the monotonicity of measures.