outer product

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outer product $$\otimes $% WIDTH=23 HEIGHT=23$

$\includegraphics[height=10mm]{images/outerProduct}% WIDTH=48 HEIGHT=45$

Calculates the inner product of two tensors.

The operator can be placed on the canvas in two ways:

From the Tensor Operations (``tensor'') toolbar $\resizebox{!}{2ex}{\includegraphics{images/innerProduct}}% WIDTH=15 HEIGHT=14$ ; or
By typing the letters ``outerProduct'' on the canvas and then pressing the Enter key.

It computes: $\begin{displaymath} z_{i_{1},i_{2},\ldots,i_{r_{x}},j_{1},\ldots,j_{r_{y}}}=x_{i_{1},,i_{2},\ldots,i_{r_{x}}}y_{j_{1},\ldots,j_{r_{y}}}. \end{displaymath}% WIDTH=583 HEIGHT=31$ where $$r_{x}$% WIDTH=28 HEIGHT=21$ and $$r_{y}$% WIDTH=28 HEIGHT=25$ are the ranks of $x$% WIDTH=17 HEIGHT=16

and

respectively.