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  1. 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?

    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… …

  2. notation - What does the letter epsilon signify in mathematics ...

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

  3. 为什么ε在中国广泛被念做伊普西龙,然而他的发音是epsilon [ˈepsɪlɑːn]?

    Nov 10, 2021 · 知乎,中文互联网高质量的问答社区和创作者聚集的原创内容平台,于 2011 年 1 月正式上线,以「让人们更好的分享知识、经验和见解,找到自己的解答」为品牌使命。知乎凭借认真、专 …

  4. analysis - What does "$\epsilon$" mean in this formula - Mathematics ...

    Apr 19, 2022 · However, note that $\epsilon$ is most commonly used in analysis as an arbitrarily small (but positive) value. If you are new to the idea of an $\epsilon$ -neighborhood, check out this post.

  5. calculus - Original source of "precise" ε-δ (epsilon-delta) formal ...

    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

  6. 为什么数学分析中总喜欢用epsilon? - 知乎

    Sep 18, 2020 · 这个表格的实用价值在于提供了一套系统的“翻译”规则。 在分析证明中,当直接论证 S₀ 的结论受阻时,数学家可以转而证明其对应的、更易处理的 S_ {\epsilon} 版本。

  7. calculus - How are epsilon and delta related, and how does the relation ...

    Sep 30, 2025 · The thing we're trying to prove starts with $\forall\epsilon>0 \ \exists\delta>0,$ so all we need to do is make sure we know how to find one suitable value of $\delta$ no matter what the value …

  8. 使用 epsilon 比较浮点数是否不够科学? - 知乎

    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 …

  9. real analysis - Does the epsilon-delta definition of limits truly ...

    Jun 20, 2023 · This quote resonates with my current dilemma. Does the Epsilon-Delta definition truly capture the essence of what we mean by a 'limit'? though the epsilon-delta definition is a …

  10. 无穷小量和 epsilon 的关系是什么? - 知乎

    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 …