LaTeX Lambda (λ) - 完整指南
The Greek letter lambda (λ/Λ) is widely used in mathematics and physics for wavelength, eigenvalues, and lambda functions.
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Lambda
LaTeX Code
No package required
\lambdaLowercase lambda symbol
No package required
\LambdaUppercase lambda symbol
目录
LaTeX Lambda 是什么?
Lambda is the eleventh letter of the Greek alphabet. It is extensively used in mathematics and physics: lowercase λ represents wavelength in physics and eigenvalues in linear algebra, while uppercase Λ appears in various mathematical contexts. Lambda functions in computer science are also named after this letter.
如何在 LaTeX 中使用 Lambda
方法 1:使用 \lambda
✅无需额外包
Lowercase lambda symbol
示例:使用 \lambda
\documentclass{article}
\begin{document}
% Using the Lambda
Text with \lambda
\end{document}方法 2:使用 \Lambda
✅无需额外包
Uppercase lambda symbol
示例:使用 \Lambda
\documentclass{article}
\begin{document}
% Using the Lambda
Text with \Lambda
\end{document}常见用途
Lambda 符号通常用于以下情况:
Wavelength
Represents wavelength of electromagnetic radiation.
Code
Wavelength of visible light: $\lambda = 500$ nmOutput
Wavelength of visible light: λ = 500 nm
Eigenvalue
Used for eigenvalues in linear algebra.
Code
Find eigenvalues $\lambda$ such that $A\mathbf{v} = \lambda\mathbf{v}$Output
Find eigenvalues λ such that Av = λv
Decay Constant
Used in exponential decay formulas.
Code
$N(t) = N_0 e^{-\lambda t}$Output
N(t) = N₀ e^(-λt)
完整示例
Wave Equation
Lambda in wave equation
\documentclass{article}
\begin{document}
The relationship between wavelength, frequency, and speed: $c = \lambda \nu$, where $\lambda$ is wavelength and $\nu$ is frequency.
\end{document}Eigenvalue Problem
Lambda in eigenvalue problem
\documentclass{article}
\begin{document}
The characteristic equation is $\det(A - \lambda I) = 0$, where we solve for $\lambda$.
\end{document}常见问题
我应该使用哪种方法?
我们建议使用上面标记为"推荐"的方法。但是,最佳方法取决于您的具体需求:
- \lambda: Lowercase lambda symbol
- \Lambda: Uppercase lambda symbol
我在哪里使用这个符号?
该符号可以用于:
- 在数学方程式中(数学模式)
- 在常规文本中(如果使用文本模式)
- 在各种文档环境中
我可以在显示模式中使用这个吗?
是的,在数学模式($ $)中工作的符号也适用于显示模式($$ $$)。这允许您在自己的行上显示符号,具有更大的格式。
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