Bounded Interval (Noun)
Meaning
An interval that includes its endpoints.
Classification
Nouns denoting cognitive processes and contents.
Examples
- The bounded interval represents the range of temperatures that the material can withstand without degrading, from its lower bound of -20°C to its upper bound of 100°C.
- In mathematics, a bounded interval often implies that the endpoints of the set are included in the solution set.
- The bounded interval [0, 1] is also known as the unit interval, used to model probabilities within a discrete probability space.
- In physics, many real-world signals can only take on values within a bounded interval, making modeling easier with finite values.
- The function was analyzed over the bounded interval [a, b] to ensure its stability and convergence under various conditions.