希腊字母epsilon的两种写法ϵ，ε，一般认为哪个是原型，哪个是变体？ 我一直以为前者是原型，因为TeX中两者分别记为\epsilon，\varepsilon 但在Microsoft Word的数学公式输入器中却将两者分别… …

This letter "$\\varepsilon$" is called epsilon right ? What does it signify in mathematics ?

Apr 19, 2022 · The symbol is called "epsilon," and is simply a variable, just like x x or y y. However, note that ϵ ϵ is most commonly used in analysis as an arbitrarily small (but positive) value. If you are new …

Sep 3, 2022 · Original source of "precise" ε-δ (epsilon-delta) formal definition of a limit? Ask Question Asked 3 years, 5 months ago Modified 3 years, 5 months ago

假设epsilon取0.1，表达式2中应该相等的被判为不等了，错！ 假设epsilon取0.2，表达式1中应该不等的被判为相等了，错！ 假设epsilon取0.15，表达式1中应该不等的被判为相等了，表达式2中应该相等 …

Sep 30, 2025 · It isn't even an outline of a proof. It's like the "scratch work" part of Some questions about epsilon-delta limit proofs, which helps you think up the proof but isn't part of the proof. As you can …

Sep 9, 2018 · 无穷小量和 epsilon 的关系是什么? 好多文章都说柯西对极限的定义巧妙绕过了无穷小量，但我感觉这种定义方式就是用 [公式] 代替了无穷小的定义，柯西所谓的“要多小有多小并且大于0的 …

Sep 18, 2020 · 这些陈述是确定性的、无误差的。 S_ {\epsilon} 列则代表了为“创造操作空间”而引入误差项后的近似陈述。 每一项都与 S₀ 列中的对应项形成类比，但关键区别在于加入了 o (1) 项，这个符 …

Nov 18, 2021 · Closed 2 years ago. I'm really doing my best but completely failing to understand the epsilon-delta definition of a limit. I vaguely understand it like this: Given a bound on the difference …

本文主要给出一个我自己思考得到的 ϵ δ 的几何模型来帮助建立这种直觉。 这个模型主要强调的不是严格性，而是着重于如何帮助理解。 1 ϵ δ 的几何模型 1.1 ϵ δ 的定义 \epsilon -\delta 极限定义的描述方 …