What Is a Tensor? The mathematical point of view.
Jan 26, 2025 · 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 …
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 …
Are there any differences between tensors and multidimensional …
Feb 5, 2015 · 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, …
What are the Differences Between a Matrix and a Tensor?
Jun 5, 2013 · 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?
Interpretation of $(r,s)$ tensor - Mathematics Stack Exchange
Regarding why a (0,1) (0, 1) tensor can be considered a vector, that is because (for finite-dimensional vector spaces) any vector space is isomorphic to its double dual vector space. …
terminology - What is the history of the term "tensor"?
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.
What even is a tensor? - Mathematics Stack Exchange
Dec 8, 2024 · 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 …
How would you explain a tensor to a computer scientist?
Feb 11, 2024 · 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 …
Why is a linear transformation a $ (1,1)$ tensor?
Jul 7, 2016 · Note that it's typical to define tensor to mean a multilinear map that is a function of vectors only in the same vector space, or of covectors in the associated dual space, or some …
What is a Rank 3 Tensor and Why Does It Matter? - Physics Forums
May 10, 2007 · A rank 3 tensor is defined as a multi-linear function that takes three generalized vectors and outputs a scalar, or can map two generalized vectors to a vector. Visualizing …