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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 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)
Is current truly a scalar quantity or a tensor? - Physics Forums TL;DR Summary From what i know all quantities are tensors , divided into rank 0,rank 1 ,rank 2 , rank 3 rank ( n )according to their components which is 3^n Current is supposed to be a scalar quantity right? It does not follow vector rules Our book says it is a tensor quantity (ofcourse yes) but my question is "Is current truly a scalar quantity" ? If a bunch of electron were to drift
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
Purpose of Tensors, Indices in Tensor Calculus Explained Tensor calculus was discovered by mathematicians, not physicists Your questions are really about how tensor calculus is used in physics, and General Relativity in particular That's a much narrower subject than the uses of tensor calculus in general AndersF said: Tensors
linear algebra - The physical meaning of the tensor product . . . The metric tensor is the very object that encodes geometrical information about the manifold M M All other useful quantities are constructed from it, such as the Riemann curvature tensor and the Ricci curvature tensor (of course, we still need something called an ‘ affine connection ’ in order to define these tensors)