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Definitions from the Web

Monotonicity

Definition:

Monotonicity refers to the property of a function or a sequence that preserves the order of elements, either increasing or decreasing without any reversals.

Sense 1:

Part of Speech: Noun

Definition:

In mathematics, monotonicity is the characteristic of a function that remains either entirely non-increasing or non-decreasing over its entire domain.

Example Sentence:

The monotonicity of the graph indicates that the function is strictly increasing.

Sense 2:

Part of Speech: Noun

Definition:

In computer science, monotonicity describes the behavior of a program or function where the output value never decreases with subsequent input values.

Example Sentence:

The implementation of the algorithm guarantees the monotonicity of the output.

Sense 3:

Part of Speech: Adjective

Definition:

As an adjective, monotonicity refers to the property of an ordered set or sequence that is consistently increasing or decreasing without reversals.

Example Sentence:

The monotonicity of the data implies a direct correlation between variables.

Related Products:

• Monotonic Functions
• Monotonicity in Computer Science
• Order Theory