'\rVert' and '\lVert' Tex Commands

In the TeX/LaTeX typesetting system, it is often necessary to typeset various types of brackets or delimiters. The \rVert and \lVert TeX commands, respectively, are used to typeset the right and left double vertical bars.

Usage

The \rVert and \lVert commands are commonly used in mathematics to denote the magnitude or norm of a vector. For example, the magnitude of a vector v can be typeset as \lVert v \rVert. This will produce the following output:

$\lVert v \rVert$

It is also possible to use these commands with other symbols, such as matrices or functions. For example, the norm of a matrix A can be typeset as \lVert A \rVert. This will produce the following output:

$\lVert A \rVert$

Precautions

When using these commands, be careful to include the appropriate math delimiters, such as $, \[, or \( ... \). Failure to do so may result in errors or unexpected output.

Also, keep in mind that \rVert and \lVert are only used for double vertical bars. Single vertical bars can be typeset using the \vert and \mid commands, respectively.

Conclusion

The \rVert and \lVert TeX commands are useful for typesetting double vertical bars, commonly used in mathematics to denote magnitudes or norms. By including the appropriate math delimiters and being aware of their limitations, you can use these commands to produce professional-looking and accurate mathematical typesetting.