LaTeX Epsilon (ε) - 完整指南

The Greek letter epsilon (ε) is used in mathematics and physics to represent small quantities and perturbations.

Symbol Preview

Epsilon

LaTeX Code

Method 1: Using \epsilon

No package required

Recommended

\epsilon

Standard epsilon symbol

Method 2: Using \varepsilon

Requires: \usepackage{cmd.package}

\varepsilon

Alternative epsilon symbol (more curved)

LaTeX Epsilon 是什么？

Epsilon is the fifth letter of the Greek alphabet. In mathematics and physics, epsilon typically represents a small positive quantity used in limit proofs, error bounds, and perturbation theory. LaTeX provides both the standard form (\epsilon) and an alternative curved form (\varepsilon).

如何在 LaTeX 中使用 Epsilon

方法 1：使用 \epsilon

✅无需额外包

Standard epsilon symbol

示例：使用 \epsilon

latex

\documentclass{article}

\begin{document}

% Using the Epsilon
Text with \epsilon

\end{document}

方法 2：使用 \varepsilon

⚠️所需包：

\usepackage{cmd.package}

Alternative epsilon symbol (more curved)

示例：使用 \varepsilon

latex

\documentclass{article}
\usepackage{amssymb}
\begin{document}

% Using the Epsilon
Text with \varepsilon

\end{document}

常见用途

Epsilon 符号通常用于以下情况：

Limits and Continuity

Used in epsilon-delta definitions of limits.

Code

For every $\epsilon > 0$, there exists $\delta > 0$ such that...

Output

For every ε > 0, there exists δ > 0 such that...

Error Bounds

Represents small error terms in approximations.

Code

The error is bounded by $\epsilon = 0.001$

Output

The error is bounded by ε = 0.001

完整示例

Epsilon-Delta Definition

Classic epsilon-delta definition of continuity

latex

\documentclass{article}
\begin{document}

A function $f$ is continuous at $c$ if for every $\epsilon > 0$, there exists $\delta > 0$ such that $|x - c| < \delta$ implies $|f(x) - f(c)| < \epsilon$.

\end{document}