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- What Is a Tensor? The mathematical point of view. - Physics Forums
A tensor itself is a linear combination of let’s say generic tensors of the form In the case of one doesn’t speak of tensors, but of vectors instead, although strictly speaking they would be called monads
- What, Exactly, Is a Tensor? - Mathematics Stack Exchange
Every tensor is associated with a linear map that produces a scalar For instance, a vector can be identified with a map that takes in another vector (in the presence of an inner product) and produces a scalar
- What are the Differences Between a Matrix and a Tensor?
What is the difference between a matrix and a tensor? Or, what makes a tensor, a tensor? I know that a matrix is a table of values, right? But, a tensor?
- What even is a tensor? - Mathematics Stack Exchange
I'm an electrical engineer, and thus don't often interact with the types of mathematics that involve tensors But when I try to get a deeper understanding of certain things that I do interact with, I
- terminology - What is the history of the term tensor? - Mathematics . . .
tensor - In new latin tensor means "that which stretches" The mathematical object is so named because an early application of tensors was the study of materials stretching under tension
- How would you explain a tensor to a computer scientist?
A tensor extends the notion of a matrix analogous to how a vector extends the notion of a scalar and a matrix extends the notion of a vector A tensor can have any number of dimensions, each with its own size A $3$ -dimensional tensor can be visualized as a stack of matrices, or a cuboid of numbers having any width, length, and height
- Tensor-Hom adjunctions - Mathematics Stack Exchange
However, in the proof of the Hom Tensor adjunction, the map that you define for the bijection can be seen to also be a homomorphism Really you have to write out the proof in detail, and observe that you are dealing with homomorphisms
- Difference Between Tensor and Tensor field? - Mathematics Stack Exchange
A tensor field has to do with the notion of a tensor varying from point to point A scalar is a tensor of order or rank zero , and a scalar field is a tensor field of order zero
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