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 …
An Introduction to Tensors - Mathematics Stack Exchange
The tensor product of elements in these vector spaces that one usually sees in engineering and physics texts (frequently matrices) is basically an element in the tensor product of the …
What, Exactly, Is a Tensor? - Mathematics Stack Exchange
A k k -tensor is a multilinear function from V × V × ⋯ × V V × V × × V to the reals, where V V is a vector space and k k is the number of the V V 's in the above Cartesian product. (Calculus on …
What are the Differences Between a Matrix and a Tensor?
Jun 6, 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?
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 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 as input and outputs a scalar. It can also take two generalized vectors (or a rank 2 …
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 …
Complete set of answers to Schaum's Tensor Calculus
Oct 19, 2009 · Study the application of tensor calculus in computational chemistry Mathematicians, computational chemists, and students of tensor calculus seeking to deepen …
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 …
Bianchi Identity: Explained Simply & Relation to Riemann Tensor
Mar 9, 2015 · The Riemann tensor contains more information than the Ricci tensor. The Bianchi identity is an identity that holds for the Riemann tensor (and there is an associated one for the …