Definitions and properties
Tensors in Data Sciences

Vectors are denoted with bold lowercase letters, e.g. x , matrices with bold uppercase letters, e.g. M , and tensors with bold calligraphic letters, e.g. $\mathcal{T}$ . The transposition operator of a vector or matrix will be noted ^T ; in $ℂ$ the Hermitian transposition operator is ^H . The components of vectors, matrices and tensors in a predefined coordinate system will be scalar numbers, represented by indexed non-bold letters,...