átfedésmentes

Átfedésmentes is a Hungarian adjective that translates to "non-overlapping" or "disjoint" in English. It is used in various contexts, most notably in mathematics and computer science, to describe sets or intervals that do not share any common elements or points.

In set theory, two sets are considered átfedésmentes if their intersection is the empty set. For example, the set of even numbers and the set of odd numbers are átfedésmentes. Similarly, in interval notation, two intervals are átfedésmentes if they do not contain any of the same numbers. For instance, the interval [1, 3] and the interval [4, 6] are átfedésmentes.

The concept of átfedésmentes is crucial for partitioning data or resources into distinct, independent groups. In computer programming, it can refer to memory regions that do not overlap to prevent data corruption or to non-overlapping processes that operate independently. This principle ensures clarity and prevents conflicts in applications where resources must be managed precisely. The term emphasizes the absence of shared components, ensuring that each element or region is uniquely assigned.