I am reading paper The Approximation Power Of Moving Least-squares by David Levin (and few more with same topic), and I have become a bit confused about notations.
What confuses me the most is $p_j(x)$ where $p$ is a polynomial (of degree $M$), $x$ is a vector (of size $D$) and $j$ is from $1$ to $J = \binom{D+M}{M}$. What is result of such thing, a vector, a polynomial, or a number? How to compute it?
The question is probably noobish, but we may be using different notation in my country, or I am just stupid. Either way, thank you for your patience and any replies.