- What Is a Tensor? The mathematical point of view.
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 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
- 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
- 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 is a Rank 3 Tensor and Why Does It Matter?
Then, a rank-3 tensor is like picturing those three arbitrarily changed moved vectors in a different coordinate system, and applying a different linear transformation to each one
- 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
- Definition of Second-Order Tensor by Jim Adrian - Physics Forums
A second-order tensor is comprised at least of a two-dimensional matrix, as an nth-order tensor is comprised at least of an n-dimensional matrix, but what else is in the formal definition A scientific definition needs to name the term being defined, and describe the meaning of that term only
|