1. The plural of monotonicity; the quality or state of being monotonic (unchanging in direction, either consistently increasing or consistently decreasing).
Usage: Primarily used in mathematics, computer science, and formal logic.; Technical/academic term.
2. In mathematics and logic, instances or examples of functions, sequences, or relations that exhibit monotonic behavior (strictly or weakly increasing or decreasing).
Usage: Specialized mathematical usage.

Examples

• The algorithm's monotonicities ensure that the output values never decrease as input increases.
• Researchers studied the monotonicities of different sorting functions to optimize performance.
• The monotonicities of the data set made it easier to apply certain statistical tests.
• In formal verification, proving monotonicities of system properties is crucial for correctness.
• The graph displayed several monotonicities across different intervals of the domain.