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trees and plants
Hello. Could we approximate a tensor of (p,q) rank with matrices of their elements? I am talking also about the general case of a tensor not only special cases. For example a (2,0) tensor with i, j indices is a matrix of ixj indices. A (3,0) tensor with i,j,k indices I think is k matrices with ixj elements each one of them. So is a tensor of (p,q) rank with upper indices i1,i2,...,ip and lower indices j1,j2,...,jq a set of (i1xi2...xip)x(j1xj2...xjq-2) matrices of jq-1xjq elements? If I am incorrect what did I do wrong? Thank you.
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