Even though tensors have an existence independent of what frame we choose to represent them in, it is inevitable that we need to utilize the numbers representing the tensor in a certain frame of reference. The elastic tensor is no exception; if we choose the wrong frame of reference the tensor components will in general be all non-zero, which is cumbersome to work with, even though correct. If we choose the preferred frame we gain two things: minimization of dependent non-zero elements and information as to the symmetry orientation represented by the elastic tensor. We propose to approach the problem in a statistical manner.
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