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What Is a Tensor? The mathematical point of view. - Physics Forums 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 is a Rank 3 Tensor and Why Does It Matter? - Physics Forums A rank 3 tensor inputs three generalized vectors (i e either a vector or their dual vector), and spits out a scalar One can also think of it as inputting 2 generalized vectors (or a rank 2 tensor), and outputting a vector, or inputting 1 generalized vector, and outputing 2 vectors (or a rank 2 tensor)
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
Why is a linear transformation a $(1,1)$ tensor? A type- (n, m) (n, m) tensor [in the former sense] is a tensor of order d = n + m d = n + m in the latter sense, but second definition is broader for it does not restrict us to a single vector space
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
understanding of the tensor product of vector spaces Isn't it easier to just define tensor algebra as the largest model (in the sense of a universal property) of the unital associative algebra oer k k that contains V V as a subspace? Tensor product of vector spaces becomes easier to understand then