1. Describe physical phenomena: tensor operation is the basis of describing physical phenomena. For example, physical quantities in electromagnetic field, gravitational field, fluid mechanics and other fields can be expressed by tensors. Through tensor operation, these physical quantities can be calculated and analyzed, so as to better understand and predict physical phenomena.

2. Maintain transformation invariance: An important feature of tensor operation is to maintain transformation invariance. This means that the result of tensor operation remains unchanged in different coordinate systems. This invariance makes tensor an ideal tool to describe physical phenomena, because physical laws usually have the same form in different reference frames.

3. Describe multidimensional space: Tensor operation can describe physical quantities in multidimensional space. In physics, many physical quantities (such as stress and energy density) are distributed in multidimensional space. Through tensor operation, these physical quantities distributed in multi-dimensional space can be unified for effective calculation and analysis.

4. Mathematical modeling: Tensor operation also plays an important role in mathematical modeling. For example, in differential geometry, topology and other fields, tensor is used to describe the curvature of space and other properties. Through tensor operation, these properties can be quantified and analyzed, thus establishing a mathematical model to describe complex phenomena in the real world.

5. Application in computer science: Tensor operation is also widely used in the field of computer science. For example, in computer graphics, machine learning, data mining and other fields, tensors are used to represent multidimensional data. Through tensor operation, these data can be processed and analyzed efficiently, thus improving the performance and accuracy of the algorithm.

In a word, tensor operation plays an important role in mathematics and physics. It provides a powerful tool for describing and analyzing physical phenomena, and also plays an important role in mathematical modeling and computer science.