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 …
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, 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 …
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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.
Strain Tensor Based on Clifford Algebra • Physics Forums
Nov 19, 2025 · The discussion focuses on the formulation of the displacement gradient tensor H in continuum mechanics, specifically its decomposition into the infinitesimal strain 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 …
How many independent components does a tensor have?
Jan 20, 2024 · It's a 4th-dimensional 4th-rank tensor so at first we have ##4^4=256## components. According to the book, Given that ##R_ {iklm}=-R_ {ikml}## 256 components...
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 …
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 …