${\displaystyle d_{j,i}^{2}=\vert \vert {\vec {x}}_{i}^{t}-{\vec {v}}_{j}\vert \vert _{A}^{2}-\sum _{k=1}^{N}\langle {\vec {x}}_{i}^{t}-{\vec {v}}_{j},{\vec {b}}_{j,k}\rangle _{A}^{2}}$

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