Difference between revisions of "What is Tensor?"
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# Scalar, {{#tag:math|\mathbb{R} }} | # Scalar, {{#tag:math|\mathbb{R} }} | ||
− | # Vector, {{#tag:math|\mathbb{R}^ | + | # Vector, {{#tag:math|\mathbb{R}^n }} |
− | # Matrix | + | # Matrix, {{#tag:math|\mathbb{R}^n \times \mathbb{R}^m}} |
# 3-Tensor | # 3-Tensor | ||
In simplifying terms, we can think of tensors as multidimensional arrays of numbers, as a generalization of scalars, vectors, and matrices.
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.
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