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$\begingroup$ 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 …

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 …

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 …

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 …

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 you find a …

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 …

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 …

$\begingroup$ I find the presentation of the $\epsilon$-$\delta$ definition as a game tends to help beginning students: the players are Paul the prover, and Alice the adversary.

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 Julio …

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