% Equations for dot-kernel-v1
\section{Equations: dot-kernel-v1}

\subsection{dot}
\label{eq:dot}

\begin{equation}
  y = \sum x_i · w_i
\end{equation}

\textbf{Domain:} $x \in \mathbb{R}^n, w \in \mathbb{R}^n$

\textbf{Codomain:} $y \in \mathbb{R}$

\textbf{Invariants:}
\begin{itemize}
  \item $dot(x, 0) = 0$
  \item $dot(\alpha·x, w) = \alpha·dot(x, w)$
\end{itemize}

