👉 In mathematics, "compactify" is a process or method used to simplify or make smaller certain mathematical objects, such as functions or sets. It's often applied in analysis and topology when dealing with singularities or discontinuities of a function. For example, if you have a function \( f(x) \) defined on an interval \([a, b]\), the compactification of \( f \) is a new function that takes values in \([c, d]\), where:
