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Zermelo-Fraenkel set theory
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Complex column matrix
Euclidean complex dot product
Formulation 0
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}
Formulation 1
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}
Child definitions
»
D6241: Euclidean real dot product
