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Minimizing the magnitude of the sum of a vector of complex numbers with an integer constraint
Let $h_{1}, ..., h_{N} \in \mathbb{C} $
Consider minimizing the function below:
$ \min \left| \sum\limits_{i=1}^N h_{i} x_{i} \right| $
with the constraints $x_{i}^2 = 1$
i.e., $x_{i}$ can only take ...
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