Lucas

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Jul
21
awarded  Student
Jul
20
comment why isn't “functional operator” a contradiction?
thanks guys, this is helpful! but would you mind fleshing it out a little more for me? I thought a scalar was just a magnitude, while a vector has more structure - it's a magnitude and a set of directions. Is a scalar field (a collection of scalars) really a kind of vector space (a collection of vectors)? Even if the scalars can be brought together to form vectors, does this really imply that a scalar field is vector space, instead of the ingredients for a vector space? And would framing this in terms of tensors help to understand how vectors and scalars are part of the same larger framework?
Jul
20
asked why isn't “functional operator” a contradiction?