1. the quality or state of being discrete; the condition of being separate, distinct, or individually distinct rather than continuous or connected.
Usage: commonly used in mathematics, logic, and computer science to describe separate, non-continuous elements
2. the quality of being discreet; prudence, caution, or careful judgment in speech or behavior.
Usage: less common than the first sense; sometimes considered a variant spelling of 'discreetness'

Examples

• In mathematics, discreteness refers to the property of being made up of distinct, separate values rather than a continuous range.
• The discreteness of digital data contrasts with the continuous nature of analog signals.
• Computer scientists study the discreteness of algorithms to understand how they process information step by step.
• The discreteness of the particles in quantum mechanics was a revolutionary concept in physics.
• She handled the sensitive matter with discreteness, keeping the details confidential.