
An Introduction to Tensors - Mathematics Stack Exchange
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 …
What, Exactly, Is a Tensor? - Mathematics Stack Exchange
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 …
Tensors, what should I learn before? - Mathematics Stack Exchange
May 23, 2019 · 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 …
What is exactly the relation between vectors, matrices, and 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 …
Are there any differences between tensors and multidimensional …
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 …
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?
Conceptual difference between Covariant and Contravariant tensors
Nov 5, 2021 · I am having some confusion over the concept of covariant and contravariant vectors. Most text books on tensors define contravariant vectors/tensors as objects whose …
What is the conceptual idea behind raising and lowering indices?
The use of indices for tensors originates from notation for matrices and vectors but extends consistently and beautifully first to abstract vector spaces and then to tensors and tensor …
linear algebra - Mathematicians' Tensors vs. Physicists' Tensors ...
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.
Interpretation of $ (2,0)$-tensors - Mathematics Stack Exchange
Dec 21, 2023 · I am aware that $ (0,2)$ -tensors are things like an inner product, a differential $2$ -form, and more generally a bilinear map. I am aware that $ (1,1)$ -tensors are just linear …