# \Im

Used in complex analysis to denote the imaginary part operator, optionally applied to an expression in braces

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

## Metadata

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

## Syntax

### physics

Argument specification: `d<{,}>`

Used in complex analysis to denote the imaginary part operator, optionally applied to an expression in braces

## Examples

```latex
\Im
```

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

```latex
\Im{z}
```

[Open in Playground](https://play.texform.dev/?input=%5CIm%7Bz%7D)

## Renderer support

| Package | MathJax | KaTeX | XeTeX |
| --- | --- | --- | --- |
| physics | full | full | full |

## Usage frequency

0.09% of formulas in the measured corpus contain this entry, rank 113 of 263 entries with frequency data.

## In TeXForm

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

## See also

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

## Test cases

### physics

| Input | Case | MathJax | KaTeX | XeTeX |
| --- | --- | --- | --- | --- |
| \Im | Positive: baseline | Pass | Pass | Pass |
| \Im{a} | Positive: vary:d[0] | Pass | Pass | Pass |