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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 …

$\begingroup$ 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 …

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 …

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 …

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.

Nov 3, 2016 · When adding a "small" positive number $\epsilon$ to some quantity, one should/might have some criterion in mind that $\epsilon$ should be "small enough" so that …

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 …

$$\le |(x - x_{0})|^{2} + |2x_{0}(x-x_{0})| < \epsilon$$ by the triangle inequality. But we don't know this is less than epsilon since we now have something that is greater than what we actually …

Aug 2, 2013 · The epsilon-delta definition of limit says that if you want f(x) to be arbitrary close to a value L as x approaches a, i.e $\displaystyle lim_{x \to a} f(x)= L$, all you need to do as that …

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