Cross products of k-tensors
Object of class
Further arguments, currently ignored
Given a k-tensor S and an l-tensor T, we can form the cross product S %X% T, defined as\mjdeqn
S\otimes T\left(v_1,...,v_k,v_k+1,..., v_k+l\right)= S\left(v_1,... v_k\right)\cdot T\left(v_k+1,... v_k+l\right).omitted; see latex
Package idiom for this includes
S %X% T;
note that the cross product is not commutative. Function
can take any number of arguments (the result is well-defined because the
cross product is associative); it uses
cross2() as a low-level
The functions documented here all return a
The binary form
%X% uses uppercase X to avoid clashing with
%x% which is the Kronecker product in base R.
Robin K. S. Hankin
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