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YCor
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Cartesian product of $[(k-2)\text{-times Interval}_1] \times [\text{Interval}_2] \times [\text{Interval}_2]$

This is a soft question, hoping that it is still appropriate for this forum.
I need to describe twice the following region of $\mathbb{R}^k$ (i.e., we are in a $k$-dimensional Euclidean space, where $k \in \mathbb{N}-\{0,1,2\}$).
In detail, I have to state (in the abstract) that a constraint of a given optimization problem is the AABB defined as $[0,4-\sqrt{3}] \times [0,4-\sqrt{3}] \times [0,2] \times \cdots \times [0,2]$, where the closed interval $[0,2]$ appears $k-2$ times, while in the body of the article I would like to state the same product as above, by underlying the following construction: $$[0,2] \times \left[0,4-\sqrt{3}\right] \times \left[0,4-\sqrt{3}\right] \times \mathop{\Large\times}_{i=1}^{k-3}[0,2]$$ (there, I will replace the $\mathop{\Large\times}$ symbol with "\varprod").

Now, I am not sure if it would be fine to omit the last Cartesian product, I mean to simply write $[0,2] \times \left[0,4-\sqrt{3}\right] \times \left[0,4-\sqrt{3}\right] \mathop{\Large\times}_{i=1}^{k-3}[0,2]$. Otherwise, my last chance would be to forget about the construction and simply state the given box as $\left(\mathop{\Large\times}_{i=1}^{2} \left[0,4-\sqrt{3}\right] \right) \times \left( \mathop{\Large\times}_{j=3}^{k}[0,2]\right)$.

Thanks in advance for the kind suggestions.

Marco Ripà
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