# \pv

Used in complex analysis and distribution theory to denote the Cauchy principal value (short form)

https://texform.dev/latex/commands/pv

## Metadata

| Field | Value |
| --- | --- |
| Topic | [Physics: quantities](https://texform.dev/latex/topics/physics-quantities) |
| Packages | physics |
| Allowed mode | math |
| Tags |  |
| Commonality | low |
| Kind | prefix |

## Syntax

### physics

Argument specification: ``

Used in complex analysis and distribution theory to denote the Cauchy principal value (short form)

## Examples

```latex
\pv
```

[Open in Playground](https://play.texform.dev/?input=%5Cpv)

## Renderer support

| Package | MathJax | KaTeX | XeTeX |
| --- | --- | --- | --- |
| physics | full | none | full |

## In TeXForm

TeXForm parses this entry as prefix syntax; the package determines its argument specification.

## Equivalent forms

```latex
\principalvalue
```

exact. 

## See also

- [\\grad](https://texform.dev/latex/commands/grad)
- [\\gradient](https://texform.dev/latex/commands/gradient)
- [\\Im](https://texform.dev/latex/commands/Im)
- [\\laplacian](https://texform.dev/latex/commands/laplacian)
- [\\principalvalue](https://texform.dev/latex/commands/principalvalue)
- [\\PV](https://texform.dev/latex/commands/PV)
- [\\Re](https://texform.dev/latex/commands/Re)
- [\\Res](https://texform.dev/latex/commands/Res)

## Test cases

### physics

| Input | Case | MathJax | KaTeX | XeTeX |
| --- | --- | --- | --- | --- |
| \pv | Positive: baseline | Pass | Fail | Pass |