Uniform Continuity

Uniform continuity is a concept in mathematics, particularly in calculus, that ensures a function behaves consistently across its entire domain. A function is uniformly continuous if, for any small change in input, there’s a corresponding small change in output, regardless of where you are in the function. This means the function doesn’t have abrupt changes or varying rates of change as you move along its input values. In simpler terms, if you can predict the output reliably for all inputs, no matter how close together they are, the function is uniformly continuous.