Given the equations $||x||_2=1$, $\sum_{i=1}^n x_iy_i=0$ and some of the $y_i$ values sum to zero, e.g., $y_5+y_3+y_2=0$ is it possible to prove that the set $$\mathcal{Y} = \{ y~|~ ||x||_2=1, \sum_{i=1}^n x_iy_i=0, \sum_{i\in\{5,3,2\}}y_i=0\}$$ is convex?
2026-03-21 23:52:49.1774137169
Convexity of a set of constraints
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