# Write a sequence of vectors as a matrix

Let $$X \in \mathbb{R}^{N\times T}$$, where $$N,T\in \mathbb{Z}^{> 0}$$, and $$x\in (\mathbb{R}^N)^T$$, by which I mean $$x = (x_1, x_2, \dots, x_T)$$, where $$x_i \in \mathbb{R}^N$$. The objects $$X$$ and $$x$$ are different representations of the same thing. Is it incorrect, or strange, write $$X\in (\mathbb{R}^N)^T$$ or $$x\in \mathbb{R}^{N\times T}$$? Are there alternative ways to connect these two representations?