Difference between revisions of "What is Tensor?"
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In simplifying terms, we can think of tensors as multidimensional arrays of numbers, as a generalization of scalars, vectors, and matrices. | In simplifying terms, we can think of tensors as multidimensional arrays of numbers, as a generalization of scalars, vectors, and matrices. | ||
| − | # Scalar | + | # Scalar, <math>R</math> |
# Vector | # Vector | ||
# Matrix | # Matrix | ||
Revision as of 11:07, 15 November 2020
2020
In simplifying terms, we can think of tensors as multidimensional arrays of numbers, as a generalization of scalars, vectors, and matrices.
- Scalar, [math]R[/math]
- Vector
- Matrix
- 3-Tensor
When we describe tensors, we refer to its “dimensions” as the rank (or order) of a tensor, which is not to be confused with the dimensions of a matrix. For instance, an m × n matrix, where m is the number of rows and n is the number of columns, would be a special case of a rank-2 tensor. A visual explanation of tensors and their ranks is given is the figure below.
