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A vertical bar with a subscript, cutting a function down to part of its domain.
Also known as: Function restriction, Restricted to, Domain restriction bar
A vertical bar after a function with a set written below it denotes the same function considered only on that smaller set. Nothing about the rule changes; what changes is what it is allowed to be applied to, which can turn a badly behaved function into a well behaved one.
Denotes the restriction of a function to a subset of its domain: the same rule, applied only to the named part.
Contexts: Mathematics
Changes only the domain, not the rule, which is why a restriction can be continuous or invertible where the original is not.
Contexts: Mathematics
An upright stroke set after a letter with a smaller expression written at its foot.