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A vertical bar or colon separating a variable from its condition.
Also known as: Set-builder separator, Pipe in set notation
Inside set-builder braces a vertical bar or a colon separates the thing being collected from the condition it must satisfy. The two are interchangeable, and a colon is preferred where the condition itself contains a vertical bar, which is the practical rule behind an apparently arbitrary choice.
Separates the variable from its defining condition inside set-builder notation, read aloud as 'such that'.
Contexts: Mathematics
Is written as a vertical bar or a colon interchangeably, with the colon usually chosen where a bar already appears in the condition, such as an absolute value.
Contexts: Mathematics
Also appears outside braces in probability, where a vertical bar means 'given' rather than 'such that'.
Contexts: Mathematics
A single upright stroke of full height, or two small dots one above the other, standing between two expressions.