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Bookmark or Share- What are the Differences Between a Matrix and a Tensor?The components of a rank-2 tensor can be written in a matrix. The tensor is not that matrix, because different types of tensors can correspond to the same matrix. The differences between those tensor types are uncovered by the basis transformations (hence the physicist's definition: "A tensor is what transforms like a tensor").
- Exploring the Meaning of Curling a Stress Tensor - Physics ForumsFAQ: Exploring the Meaning of Curling a Stress Tensor What is a stress tensor in physics? A stress tensor is a mathematical concept used in physics to describe the stress or force per unit area acting on a material. It is a 3x3 matrix that represents the distribution of forces and torques on an infinitesimal element of a material.
- What Is a Tensor? The mathematical point of view. - Physics ForumsThe tensor product of two 1 dimensional vector spaces is 1 dimensional so it is smaller not bigger than the direct sum. The tensor product tof two 2 dimensional vector spaces is 4 dimensional so this is the the same size as the direct sum not bigger.This is correct but missing the relevant point: that the presentation contains a false statement.
- Are there any differences between tensors and multidimensional arrays ...Tensor : Multidimensional array :: Linear transformation : Matrix. The short of it is, tensors and multidimensional arrays are different types of object; the first is a type of function, the second is a data structure suitable for representing a tensor in a coordinate system.
- What, Exactly, Is a Tensor? - Mathematics Stack ExchangeThe complete stress tensor, $\sigma$, tells us the total force a surface with unit area facing any direction will experience. Once we fix the direction, we get the traction vector from the stress tensor, or, I do not mean literally though, the stress tensor collapses to the traction vector.
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