Abstract: In the tensor analysis, symmetry breakages exist in concepts——there is differential of tensor, but there is no variational of tensor; in theories——there is differential theory of tensor, but there is no variational theory of tensor. However, the symmetry breakages can be compensated, as shown in this paper. The developing history of the concept of the virtual particle time derivative will be reviewed, as well as the process of abstracting the concept of the local variational of tensor and the procedure of constructing the variational theory of tensor. The symmetry between the variational theory and the differential theory for tensor will thus be revealed.