# Meaning of | In Mathematical Equation

**URL:** <https://boards.straightdope.com/t/meaning-of-in-mathematical-equation/247337>\
**Category:** Factual Questions\
**Created:** [May 27, 2004, 2:09pm UTC](https://boards.straightdope.com/t/meaning-of-in-mathematical-equation/247337 "2004-05-27T14:09:01Z")\
**Posts on this page:** 2\
**Page:** 2

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**Author:** ![Go\_You\_Big\_Red\_Fire\_Engine](https://avatars.discourse-cdn.com/v4/letter/g/eada6e/32.png) [@Go\_You\_Big\_Red\_Fire\_Engine](https://boards.straightdope.com/u/Go_You_Big_Red_Fire_Engine)\
**Post date:** [May 28, 2004, 10:44am UTC](https://boards.straightdope.com/t/meaning-of-in-mathematical-equation/247337/21 "2004-05-28T10:44:02Z")

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That is called a **schaefer** (sic) stroke. If I could find my text book, I could give you the proper spelling :rolleyes:  
Ah, found it. \*\*Scheffer \*\* stroke  
A quick summary of what everyone is saying…  
|x| absoloute value of x  
| can mean NAND  
or  
d|n = d divides n, ie. d|n = k, where k belongs to Z  
or it can simply mean “such that”

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**Author:** ![crozell](https://avatars.discourse-cdn.com/v4/letter/c/3da27b/32.png) [@crozell](https://boards.straightdope.com/u/crozell)\
**Post date:** [May 28, 2004, 2:17pm UTC](https://boards.straightdope.com/t/meaning-of-in-mathematical-equation/247337/22 "2004-05-28T14:17:08Z")

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> [@Jon the Geek](#):
>
> What does the | in a mathematical equation mean? For example, in this equation:  
> f(theta|u) \<is proportional to\> f(u|theta)f(theta)  
> what do the |'s mean?
> 
> I believe it’s something from linear algebra and/or statistics, but it isn’t ringing a bell from either. Granted, I took those classes about 10 years ago…

Another vote for [Bayes’ Theorem](http://mathworld.wolfram.com/BayesTheorem.html) here. Yes, the | symbol can have many different meanings, but in this case I would say you are definately dealing with conditional probabilities in an expression of Bayes’ classic formula.

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