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- 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 produces a scalar
- What Is a Tensor? The mathematical point of view.
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 they would be called monads
- Difference Between Tensor and Tensor field? - Mathematics Stack Exchange
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
- What is the stress-energy-momentum tensor and its role in general . . .
One of the questions I have is whether the stress-energy-momentum tensor can always be put in the form of particles and interactions like photons, leptons and quarks and the energy associated with their speed I assume that the stress tensor never involves gravitational energy, right? You have stress tensor for pure Maxwell theory, remember?
- What exactly is a tensor product? - Mathematics Stack Exchange
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 th
- Definition of Second-Order Tensor by Jim Adrian
A second-order tensor is comprised at least of a two-dimensional matrix, as an nth-order tensor is comprised at least of an n-dimensional matrix, but what else is in the formal definition A scientific definition needs to name the term being defined, and describe the meaning of that term only
- terminology - What is the history of the term tensor? - Mathematics . . .
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
- Weyl tensor on 3-dimensional manifold - Physics Forums
The discussion centers on proving that the Weyl tensor vanishes on 3-dimensional manifolds, implying a relationship between the curvature tensor, Ricci tensor, and curvature scalar Participants highlight that the Weyl tensor's independent components can be calculated using the formula (n^2 (n^2-1)) 12, which results in zero components for n=3 The symmetry properties of the Riemann tensor are
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