Bound

In mathematics, a "bound" refers to a limit or restriction on the size, value, or extent of a certain quantity. For example, it can mean an upper bound, which is the highest possible value something can reach, or a lower bound, the lowest value it can be. Boundaries help mathematicians understand the range within which certain numbers can vary and are essential in analyzing the behavior of functions, sequences, or sets. They ensure that values stay within predictable limits, making complex problems more manageable and helping to prove properties or convergence.