|
- 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？ - 知乎
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」。
- 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 $\epsilon$ or $\varepsilon$ is also used to denote the sign, including Levi-Civita symbol in physics and random sign in probability to name a few $\endgroup$
- Good Explanation of Epsilon-Delta Definition of a Limit?
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
- Proving limits with epsilon delta for Multivariable Functions
$\begingroup$ 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
- analysis - What does $\epsilon$ mean in this formula - Mathematics . . .
$\begingroup$ 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 $\endgroup$
- calculus - Original source of precise ε-δ (epsilon-delta) formal . . .
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 given a
- notation - Backwards epsilon - Mathematics Stack Exchange
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)
- What is the epsilon-delta definition of limits, exactly?
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 delta such that the distance between x and a is smaller than delta
|
|
|