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Monotonicity is an English word. Below you'll find 4 example sentences showing how it's used in practice.

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Monotonicity in a sentence

Monotonicity meaning

  1. The state of being monotonic.
  2. 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.

Using Monotonicity

  • The main meaning on this page is: 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.
  • In the example corpus, monotonicity often appears in combinations such as: the monotonicity.

Context around Monotonicity

  • Average sentence length in these examples: 17 words
  • Position in the sentence: 2 start, 2 middle, 0 end
  • Sentence types: 4 statements, 0 questions, 0 exclamations

Often before:

set 1×

Often after:

property 1×

Sentence patterns with Monotonicity

These short patterns come directly from the example sentences and show how the word is often embedded:

definition of monotonicity is relevant 1× empty set monotonicity the numeric 1× from the monotonicity of measures 1× from the monotonicity property that 1× monotonicity in order 1×

Sentence openings and endings

Common sentence openings:

monotonicity in order 1× the above definition 1× the probability of 1× this follows from 1×

Common sentence endings:

cases as well 1× interesting and insightful 1× monotonicity of measures 1× to real numbers 1×

Words around Monotonicity

Just before it in the word index:

monotonically 6 monotonic 11 monotone 37 monotonal 2 monotherapy 14 monotherapies 2

Just after it in the word index:

monotonous 72 monotonously 2 monotony 65 monotreme 3 monotremes 5 monotropoid 3

Similar in corpus frequency:

aaai 6 aani 6 aarne 6 aarya 6 aasb 6 aasen 6

Corpus analysis for Monotonicity

  • In this selection, "monotonicity" usually appears near the start of the sentence. The average example has 17 words, and this corpus slice is mostly made up of statements.
  • Around the word, set and property stand out and add context to how "monotonicity" is used.
  • Recognizable usage signals include definition of monotonicity is relevant and empty set monotonicity the numeric. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "monotonicity" sits close to words such as aaai, aani and aarne, which helps place it inside the broader word index.

Example types with monotonicity

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

This follows from the monotonicity of measures. (7 words)

The above definition of monotonicity is relevant in these cases as well. (12 words)

Monotonicity in order theory Order theory deals with arbitrary partially ordered sets and preordered sets in addition to real numbers. (20 words)

Longer example sentences

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. (29 words)

Monotonicity in order theory Order theory deals with arbitrary partially ordered sets and preordered sets in addition to real numbers. (20 words)

The above definition of monotonicity is relevant in these cases as well. (12 words)

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.

Common combinations with monotonicity

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "monotonicity" in a sentence?
An example: "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." This page contains 4 example sentences with the word "monotonicity" from authentic English texts.
What does "monotonicity" mean?
Monotonicity means: The state of being monotonic.
How many example sentences with "monotonicity" are there?
Voorbeeldzinnen.info contains 4 example sentences with "monotonicity", drawn from a database of millions of English sentences.