👉 In mathematics, a seminorm is a function f such that for all ε > 0, there exists δ > 0 such that |f(x) - f(y)| ≤ ε whenever |x - y| < δ. Seminorms are fundamental in the study of norms and their properties. A common example of a seminorm is the supremum norm on a vector space V over R or C, which can be defined as follows: \[ \lVert x \r