Please see the picture bellow about the definition of the nodes of the d-dimensional Hypercube. Could anyone please tell me what does that notation means. I get confused with the superscript after the curly braces. What does that mean in set theory.
Edges: $\forall i:(x_1,\ldots,x_d)\to(x_1,..,1-x_i,.. ,x_d)$
What does this mean? How are the nodes and the edges defined formally?