In mathematics, tensors are one of the first objects encountered which cannot be fully understood without their accompanying universal mapping property. Before talking about tensors, one …

Some tensors correspond to geometric objects or primitives. As I said, vectors can be thought of as very simple tensors. Some other tensors correspond to planes, volumes, and so on, formed …

Feb 5, 2015 · 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 …

Here I will be just posting a simple questions. I know about vectors but now I want to know about tensors. In a physics class I was told that scalars are tensors of rank 0 and vectors are tensors …

Nov 24, 2016 · In an introduction to Tensors it is said that tensors are a generalization of scalars, vectors and matrices: Scalars are 0-order tensors, vectors are 1-order tensors, and matrices …

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?

Feb 11, 2024 · This notation aligns with the mathematical representation of tensors and allows for easy interpretation of the tensor's structure and transformation properties. It's a concise and …

Jan 15, 2021 · Strictly speaking, tensors of a fixed rank form a vector space (over R R, say), and thus "tensors are vectors" for pure mathematicians who don't work in anything related to …

A nice development of tensors in the applied mathematics level can be found in the book "Matrix Analysis for Scientists and Engineers" by Alan Laub. I also like very much the chapter on the …

Jan 28, 2018 · Both mathematicians and physicists use general tensors, engineers use Cartesian tensors. Most tensors are rank 2 tensors and can be represented by a square matrix.