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 …

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 …

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 …

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, …

May 10, 2007 · A rank 3 tensor inputs three generalized vectors (i.e. either a vector or their dual vector), and spits out a scalar. One can also think of it as inputting 2 generalized vectors (or a …

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?

Jun 9, 2024 · TL;DR Summary From what i know all quantities are tensors , divided into rank 0,rank 1 ,rank 2 , rank 3 ..rank ( n )according to their components which is 3^n . Current is …

This is a beginner's question on what exactly is a tensor product, in laymen's term, for a beginner who has just learned basic group theory and basic ring theory. I do understand from wikipedia …

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.

Sep 7, 2008 · You can also make a (0,2) tensor by lowering both indices of X^ {\mu \sigma}. The (0,2), (1,1), and original (2,0) tensors are all different objects labeled by the same letter - it's …