I am deriving a matrix form for part of an equation which demands a conditional form but I have trouble in making it so that to be acceptable in scientific communities. Let's assume that we have vector $J$ which has time dependent coefficient $1$. If we expand it into a matrix form we have: $$ \mathrm{E}\{ y(t) \}= \begin{bmatrix} \vdots & \vdots & \dots & \vdots \\ I_{m\times 1}(t>t_{1}) & I_{m\times 1}(t>t_{2}) & \dots & I_{m\times 1}(t>t_{p}) \\ \vdots & \vdots & \dots & \vdots \\ \end{bmatrix}_{m\times p}. \begin{bmatrix} J(t_1) \\ J(t_2) \\ \vdots \\ J(t_p) \end{bmatrix}_{p\times 1}, $$
My question is to know if this matrix form (right side) is acceptable or correct or anything left to make it simpler/better?
