What is the set $\{h_{w,b}(x)=[[\langle w,x\rangle >b ]]\mid w\in \mathbb{R}^d\}$

Question

In particular to the topic, what does $h_{w,b}(x)=[[\langle w,x\rangle > b]]$ means?

Answer 1

In the course the lecturer uses it for indicators, which means $[[\langle w,x\rangle >b]]=\begin{cases}1& \langle w,x\rangle >b\\0& otherwise\end{cases}$