We'd like to use analytics cookies to understand which symbols people look up, so we know what to research next. They are not used for advertising and we set none of them unless you say yes. What we store.
An arrow with a tail bar, naming what a function does to an element.
Also known as: Mapsto, Bar arrow, Element arrow
A barred arrow says where a function sends a particular element, while the plain arrow says which sets it runs between. Using one for the other is the commonest error in writing a function definition, and the bar at the tail is the only visual difference.
Names the rule of a function elementwise: x maps to its image, as distinct from the function's domain and codomain.
Contexts: Mathematics
Is distinguished from the plain function arrow, which relates sets rather than elements, by the short bar at its tail.
Contexts: Mathematics
A horizontal arrow pointing right with a short upright stroke crossing its tail.
One says what happens to an element, the other which sets are involved.