deletions | additions       diff --git a/untitled.tex b/untitled.tex  deleted file mode 100644  index a5c9697..0000000  --- a/untitled.tex  +++ /dev/null 
...
\section{Abstract}  Investigate the results of a vector stacking operator in analogy to the matrix multiplication or inner and outer vector products.  \section{Introduction}  We have vector dot product \begin{equation}  \begin{bmatrix}  a & b  \end{bmatrix}  \cdot  \begin{bmatrix}  c \\ d  \end{bmatrix}  =ac+bd  \end{equation}  and outer 'dyadic' of this product by reversing the position of row and column vectors  \begin{equation}  \begin{bmatrix}  a \\ b  \end{bmatrix}  \cdot  \begin{bmatrix}  c & d  \end{bmatrix}  =  \begin{bmatrix}  ac & ad \\  bc & bd  \end{bmatrix}  \end{equation}  So investigate coupling of row and column vectors such that \begin{equation}  \begin{bmatrix}  a \\ b  \end{bmatrix}  \cdot  \begin{bmatrix}  c \\ d  \end{bmatrix}  =  \begin{bmatrix}  ac \\ ad \\ bc \\ bd  \end{bmatrix}  \end{equation}