\[ \begin{bmatrix} X^1_1 & X^1_2 & \cdots & X^1_d \\ X^2_1 & X^2_2 & \cdots & X^2_d \\ \vdots & & & \\ X^N_1 & X^N_2 & \cdots & X^N_d \end{bmatrix} \]
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