We thought it would be useful to put together a page of commonly used notation that you might meet when studying higher mathematics.
The notation found below is by no means an exhaustive list, and if you have any suggestions for additions to the list, please get in touch.
Here are relation symbols:
$$
\begin{align}
= &\qquad a= b\mbox{ means that }a\mbox{ is equal to }b\\
\equiv &\qquad a\equiv b \mbox{ means that }a\mbox{ is identically equal to }b\\
\not= &\qquad a\not= b\mbox{ means that }a\mbox{ is not equal to }b\\
< &\qquad a< b\mbox{ means that }a\mbox{ is smaller than }b\\
> &\qquad a> b\mbox{ means that }a\mbox{ is larger than }b\\
\leq &\qquad a\leq b\mbox{ means that }a\mbox{ is smaller than or equal to }b\\
\geq &\qquad a\geq b\mbox{ means that }a\mbox{ is larger than or equal to }b\\
\ll &\qquad a\ll b\mbox{ means that }a\mbox{ is much smaller than }b\\
\gg &\qquad a\gg b\mbox{ means that }a\mbox{ is much larger than }b
\end{align}
$$