Bounded variation, a real-valued functions whose total variation is bounded

Boundedness axiom, the axiom schema of replacement

Bounded operator, a linear transformation L between normed vector spaces for which the ratio of the norm of L(v) to that of v is bounded by the same number, over all non-zero vectors v

Bounded set, a set of finite size, including a bounded poset, a partially ordered set which has both a greatest element and a least element

Bounded set (topological vector space), a set in which every neighborhood of the zero vector can be inflated to include the set

Bounded sequence, a sequence whose set of values is bounded

Bounded function, a function whose possible values are a bounded set