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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
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
How would you explain a tensor to a computer scientist? 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 of dimensions, each with its own size A $3$ -dimensional tensor can be visualized as a stack of matrices, or a cuboid of numbers having any width, length, and height
What even is a tensor? - Mathematics Stack Exchange 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 things that I do interact with, I
All About the Einstein Field Equations - Physics Forums 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 Reveal: Albert Einstein first presented the Einstein Field Equations in 1915
Definition of Second-Order Tensor by Jim Adrian - Physics Forums 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