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  2. 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 …

    注意到\epsilon的Unicode全名是「Greek Small Letter Epsilon」,即「小写希腊字母Epsilon」;而\varepsilon的Unicode全名则是「Greek Lunate Epsilon Symbol」,即「半月形希腊标 …

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

    $\begingroup$ Historically, the symbol $\in$ is derived from $\epsilon$, thus it is not impossible to confuse both symbols. Also, not as ubiquitous as its primary usage, this Greek symbol …

  4. Proving limits with epsilon delta for Multivariable Functions

    Oct 11, 2015 · $\begingroup$ How is x^2.y^2 smaller or equal to 2.x^2 ? I'd imagine you'd rather have x^2.y^2 smaller or equal to x^4 instead.

  5. Good Explanation of Epsilon-Delta Definition of a Limit?

    Nov 18, 2021 · In the game our opponents value of epsilon and our responding value of delta must always be strictly greater than zero. Saying "$\epsilon = 0$" or "$\delta = 0$" isn't an …

  6. How do you determine what $\\epsilon$ to use? - Mathematics …

    Jun 21, 2016 · The point is that given any $\epsilon > 0$ you have make $\lvert f(x) - f(x_0)\rvert$ smaller than this randomly given $\epsilon$, by choosing/(demonstrating the existence of) a …

  7. notation - Backwards epsilon - Mathematics Stack Exchange

    Dec 24, 2010 · The backwards epsilon notation for "such that" was introduced by Peano in 1898, e.g. from Jeff Miller's Earliest Uses of Various Mathematical Symbols: Such that. According to …

  8. notation - Why exactly was $\epsilon$ chosen to denote a very …

    Jul 3, 2017 · $\begingroup$ See the post: Who gave you the epsilon ?: Cauchy in his 1823 textbook used trhe Greek letters $\alpha, \beta, \gamma, \delta, \epsilon, \ldots$ for "nombres …

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

    Apr 19, 2022 · $\begingroup$ As an aside, the $\in$ takes its basic shape from the Greek letter $\epsilon$. The symbol $\in$ means "is an element of", so using the Greek letter that starts the …

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

    Sep 3, 2022 · I frequently see Karl Weierstrass credited for formulating the precise definition of a limit. But what I'd like to know is the origin of the formal definition so common in textbooks, that …

  11. 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 …