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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 are the Differences Between a Matrix and a Tensor?
What is the difference between a matrix and a tensor? Or, what makes a tensor, a tensor? I know that a matrix is a table of values, right? But, a tensor?
- 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
- 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
- Difference Between Tensor and Tensor field? - Mathematics Stack Exchange
A scalar is a tensor of order or rank zero , and a scalar field is a tensor field of order zero A vector is a tensor of order or rank one , and a vector field is a tensor field of order one Some additional mathematical details Rn R n is a vector space representing the n-tuples of reals under component-wise addition and scalar multiplication
- What even is a tensor? - Mathematics Stack Exchange
We call that an operator is (n, m) (n, m) tensor (or tensor field) if it is a linear operators that takes m m vectors and gives n n vectors Conventionally, 0 0 -vectors is just a scalar
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