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, …
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 …
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 …
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 …
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?
manifolds - Difference Between Tensor and Tensor field?
A tensor field has to do with the notion of a tensor varying from point to point . A scalar is a tensor of order or rank zero , and a scalar field is a tensor field of order zero .
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.
Is current truly a scalar quantity or a tensor? - Physics Forums
Jun 9, 2024 · Electric field is present . The net movement of electrons would flow in direction opposite to the electric field yes.But if we were to take a small cross section of the conductor …