What does $S \subseteq [d]$ mean in the context of {$d, w_{1},w_{2}, ..., w_{d}$}? I don't get what [d] stands for.
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Almost certainly $[d]=\{1,2,\ldots,d\}$; this is a fairly standard notation. Check to see whether the context shows that $S$ is being used as a set of subscripts on the $w$’s.
Brian M. Scott
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