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Maximal Rank of m×n×2 Tensors over Arbitrary Fields
In this paper, we completely characterize the maximum rank of m×n×2
tensors over an arbitrary field. We note that the maximal tensor rank may be different over different fields, and we find the maximum rank of a given m×n×2 tensor is consistent over any field except F2. We discuss the field in two cases: one is in F2, and the other is in any field except F2.
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