Monotonically

usgb/məˈnɑː.tə.nɪ.kli/
adverb

In a manner that is consistently increasing or decreasing, without changes in direction.

The function behaves monotonically, meaning it does not decrease over its entire domain.
Visual representation of "monotonically" - In a manner that is consistently increasing or decreasing, without changes in direction.

Usage tips

Formal

monotonically increasing,monotonically decreasing,monotonic sequence

Definition 1 of 1
Visual representation of "monotonically"
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Understanding Trends

Recognizing monotonically in data can help in understanding trends.

Illustration for Understanding Trends
Data scientists look for monotonically increasing or decreasing patterns to forecast future values.
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Precise Language

Using monotonically emphasizes accuracy in mathematical discussions.

Illustration for Precise Language
In technical writing, using the term monotonically can prevent misunderstandings.
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Mathematical Rigor

Monotonically is often required in proofs and theorems in math.

Illustration for Mathematical Rigor
Mathematics expects clear definitions, and the use of monotonically is crucial in formal proofs.
Visual representation of the word "Monotonically"

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