 $$\begin{aligned} \qquad {\mathcal{C}}\bigcap \prod_{j=0}^d  \left[ \theta_j - \underline{r}_{{\mathcal{C}},j} ({\boldsymbol{\theta}},{\boldsymbol{\theta}}'),  \theta_j+\bar{r}_{{\mathcal{C}},j} ({\boldsymbol{\theta}},{\boldsymbol{\theta}}') \right] 