Finite-sums set
= Finite-sums set
{title2=$\operatorname{FS}(x_i)$}
For a sequence $(x_i)$, its finite-sums set is
$$
\operatorname{FS}(x_i)=\left\{\sum_{i\in F}x_i: \varnothing\ne F\subseteq\mathbb N\text{ finite}\right\}.
$$
= Finite-sums set
{title2=$\operatorname{FS}(x_i)$}
For a sequence $(x_i)$, its finite-sums set is
$$
\operatorname{FS}(x_i)=\left\{\sum_{i\in F}x_i: \varnothing\ne F\subseteq\mathbb N\text{ finite}\right\}.
$$