\Epsilon - LaTeX Symbol

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E

\Epsilon

Epsilon (\Epsilon) is the fifth letter of the Greek alphabet and is often used in mathematics and science to represent a small positive quantity, an error term, or a permittivity in physics.

Examples

E = {x \in R : 0 < x < 1}

Epsilon representing a set of small positive real numbers.

\Epsilon = \{ x \in \mathbb{R} : 0 < x < 1 \}

x \to a lim f (x) = L \Rightarrow \forall E > 0, \exists δ > 0 : ∣ f (x) - L ∣ < E if 0 < ∣ x - a ∣ < δ

Epsilon used in the definition of the limit of a function.

\lim_{x \to a} f(x) = L \Rightarrow \forall \Epsilon > 0, \exists \delta > 0 : |f(x) - L| < \Epsilon \text{ if } 0 < |x - a| < \delta

E_{0} \approx 8.85 \times 1 0^{- 12} F/m

Epsilon naught (\Epsilon_0) representing the permittivity of free space in physics.

\Epsilon_0 \approx 8.85 \times 10^{-12} \text{ F/m}