Using the same arguments, one can show the following more general formula: In the situation of Theorem 5.2 instead of only one function $h$ consider $h_{1},...,h_{n}$ piecewise affine linear convex functions on $\bar{\tau}$. Refine the subdivision $\mathfrak{D}$ such that it suits every $h_{i}$. Then

$$\Deg\left(\bigwedge_{i=1}^{n}c_{1}\left(\mathcal{O}(h_{i}\circ p_{\mathfrak{X}^{\prime}})\right).Y\right)=\Deg(S)\cdot n!\cdot\MA(h_{1},...,h_{n})(u),$$

where

$$\MA(h_{1},...,h_{n}):=\frac{1}{n!}\sum_{k=1}^{n}(-1)^{n-k}\cdot\sum_{1\leq i_{1}<...<i_{k}\leq n}\MA(h_{i_{1}}+...+h_{i_{k}})$$

denotes now the mixed Monge-Ampère measure of $h_{1},...,h_{n}$ (for details see [PRr04, §5]).