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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「半月形希腊标志Epsilon」，并没有提到「字母」。

$\begingroup$ 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 $\epsilon$ or $\varepsilon$ is also used to denote the sign, including Levi-Civita symbol in physics and random sign in probability to name a few. $\endgroup$

qlearning是一种无模型的强化学习算法，通过不断更新Q值来寻找最优策略。epsilon贪婪策略用于平衡探索（exploration）和利用（exploitation）。 epsilon参数代表随机选择动作的概率，即有时候会随机选动作（探索），有时候选当前认为最优的动作（利用）。

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 $\delta > 0$ so that when $\lvert x - x_0\rvert$ is smaller than $\delta$, then $\lvert f(x) - f(x_0)\rvert$ is smaller than $\epsilon$. Let me do a simple example.

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 word "element" as a design inspiration isn't entirely unreasonable. $\endgroup$

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 some properties are satisfied. If one really wants to be precise, than one might want to state explicitly those properties out.

The epsilon-delta definition of continuity is a fundamental concept in real analysis, explaining how limits and continuity are defined using precise mathematical criteria.

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 González Cabillón, Peano introduced the backwards lower-case epsilon for "such that" in "Formulaire de Mathematiques vol. II, #2" (p. iv, 1898).

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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 allowed move in the game; Our opponents aren't going to win by throwing larger values of $\epsilon$ at us because we can just repeat our previous $\delta$ and win that round