X-Git-Url: https://hackdaworld.org/gitweb/?p=lectures%2Flatex.git;a=blobdiff_plain;f=physics_compact%2Fmath_app.tex;h=edee2ff6549050a69fa098232f8e9a61eb4a1e69;hp=079d8d9f6f813a2476b76ac1f31b85ba491b7051;hb=69b350d82ab4382625484e3edbffd933f267aa50;hpb=1b61eac526bb34de8c8060551f70c6e7cd437d89 diff --git a/physics_compact/math_app.tex b/physics_compact/math_app.tex index 079d8d9..edee2ff 100644 --- a/physics_compact/math_app.tex +++ b/physics_compact/math_app.tex @@ -37,13 +37,14 @@ The addition of two vectors is called vector addition. \subsection{Dual space} \subsection{Inner and outer product} +\label{math_app:product} \begin{definition} The inner product ... \end{definition} \begin{definition} -The outer product ... +If $\vec{u}\in U$ and $\vec{v}\in V$ are vectors within the respective vector spaces and $V^{\dagger}$ is the dual space of $V$, the outer product of $\vec{u}$ and $\vec{v}$ is defined as the tensor product ... \end{definition} \section{Spherical coordinates}