Let ${\overline{L}}_{i}=(L_{i},\|\cdot\|_{i})$, $i=0,\dots,d-1$, be a collection of approachable metrized line bundles on $X$. For a $d$-dimensional subvariety $Y\subset X$, we denote by $\operatorname{c}_{1}({\overline{L}}_{0})\land\dots\land\operatorname{c}_{1}({\overline{L}}_{d-1})\wedge\delta_{Y}$ the limit measure in Proposition 2.33. For integrable bundles ${\overline{L}}_{i}$ and a $d$-dimensional cycle $Y$ of $X$, we can associate a signed measure $\operatorname{c}_{1}({\overline{L}}_{0})\land\dots\land\operatorname{c}_{1}({\overline{L}}_{d-1})\wedge\delta_{Y}$ on $X^{{\text{\rm an}}}$ by multilinearity.