> In math, epsilon is basically "it's not zero, except when it is." In the math I know, it’s not necessarily small, but it is larger than zero. https://mathwor

> In math, epsilon is basically "it's not zero, except when it is." In the math I know, it’s not necessarily small, but it is larger than zero. https://mathworld.wolfram.com/Epsilon-DeltaDefinition.html https://mathworld.wolfram.com/Epsilon-DeltaDefinition.html: “An epsilon-delta definition is a mathematical definition in which a statement on a real function of one variable f having, for example, the form "for all neighborhoods U of y₀ there is a neighborhood V of x₀ such that, whenever x in V, then f(x) in U" is rephrased as "for all ε > 0 there is δ > 0 such that, whenever 0 < |x - x₀| < δ, then |f(x) - y₀| < ε.” (Also used in proofs. https://mathworld.wolfram.com/Epsilon-DeltaProof.html https://mathworld.wolfram.com/Epsilon-DeltaProof.html) https://en.m.wikipedia.org/wiki/Limit_of_a_function#%7F'%22%60UNIQ--postMath-00000007-QINU%60%22'%7F-definition_of_limit https://en.m.wikipedia.org/wiki/Limit_of_a_function#%7F'%22%...: “For every real ε > 0, there exists a real δ > 0 such that for all real x, 0 < |x − p| < δ implies |f(x) − L| < ε.” > it's something where we can handwave its qualitative size depending on what's convenient. Aha! You’re doing physics, not math. Mathematicians only handwave when they can prove it doesn’t affect results ;-)