The final embedding for a token at position $i$, denoted as $\mathbf{e}_i$, is obtained by applying the Rotary Positional Embedding (RoPE) transformation to the token's original embedding $\mathbf{x}_i$. This is represented by the function $\mathrm{Ro}(\mathbf{x}_i, i\theta)$, where $i$ is the position and $\theta$ represents the rotational frequency parameters. The formula is: $\mathbf{e}_i = \mathrm{Ro}(\mathbf{x}_i, i\theta)$