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
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 …
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, …
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 …
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 …
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 …
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?
All About the Einstein Field Equations - Physics Forums
Feb 26, 2024 · Mathematically, the EFE relate the Ricci curvature tensor , the metric tensor , and the stress-energy tensor , incorporating the Einstein constant . Fast Facts Einstein’s Big …
Is current truly a scalar quantity or a tensor? - Physics Forums
Jun 9, 2024 · TL;DR 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 supposed to be a …
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.