# Name of Math Symbol $"\mapsto"$ in the expression $\mathbf{x} \mapsto A \mathbf{x}$

I do not know the name of the math symbol with the arrow bracket pointing to the right. Any help identifying it or resource to find it would be helpful. I already checked the LA symbols on Wikipedia and no look. Thanks!

• It's "\mapsto": $x \mapsto Ax$ Jun 22, 2020 at 5:47
• In general, use detexify.kirelabs.org/classify.html Jun 22, 2020 at 5:47
• Wow, that was fast and well said. Thank you, kind sir!
– Jaxx
Jun 22, 2020 at 5:49
• Thanks Ben! REALLY USEFUL SITE ^_^
– Jaxx
Jun 22, 2020 at 5:50

Let $$A$$ and $$B$$ be sets where $$a \in A$$ and $$b \in B$$. Now, let $$f$$ $$\subseteq A \times B$$ be a map from $$A$$ to $$B$$. When we write down a map we state the name of the map followed by the traditional arrow notation from the domain ($$A$$) to the codomain ($$B$$). Stacked directly below is the defintion of the map: a description of how every $$a \in$$ $$A$$ is assigned exactly one $$b \in$$ $$B$$ such as $$\color{blue} {f : A \to B}$$ $$\color{red}{a \mapsto f(a) = a^2}.$$ Where the line in $$\color{blue}{blue}$$ reads "$$f$$ is a map from $$A$$ to $$B$$" and the line in $$\color{red}{red}$$ (to answer your question about $$\mapsto$$) reads "$$f$$ maps $$a$$ to $$f(a)$$" (where $$f(a)$$ is precisely $$a^2$$ in this example).