Let $z, w \in \mathbb{C}^{N \times 1}$ each be a D5689: Complex column matrix.
The dot product of $(z, w)$ is the D1207: Complex number \begin{equation} \sum_{n = 1}^N z_n \overline{w}_n \end{equation}

Let $z, w \in \mathbb{C}^{N \times 1}$ each be a D5689: Complex column matrix.
The dot product of $(z, w)$ is the D1207: Complex number \begin{equation} z^T \overline{w} \end{equation}