What Is a Tensor? The mathematical point of view. - Physics Forums
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 …
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
Every tensor is associated with a linear map that produces a scalar. For instance, a vector can be identified with a map that takes in another vector (in the presence of an inner product) and …
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 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?
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 …
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.
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 …
understanding of the "tensor product of vector spaces"
The first definition comes from the philosophy that students are bad at understanding abstract definitions and would prefer to see the tensor product defined as a space of functions of some …
Why is the tensor product important when we already have direct …
Jan 25, 2011 · Tensor products are important in areas of abstract algebra, homological algebra, algebraic topology and algebraic geometry and tensor products of vector spaces are also …