Epsilons

In mathematics and engineering, an epsilon (ε) is a small positive number used to represent a tiny quantity, often approaching zero. It helps to describe concepts like limits, where values get very close to a point but may never exactly reach it. Essentially, epsilon provides a way to quantify how close two things are or how small a difference is, without requiring an exact value. This notion is fundamental in precise mathematical reasoning, especially in calculus and analysis, where understanding the behavior of functions as they approach certain points matters greatly.