>>12195302>What is a tensor?Given a manifold, it's tangent and cotangent bundle, a physicists "tensor" of rank (s,r) is simply a section of the tensor product bundle of s copies of the tangent and r copies of the cotangent space. That is, it's a way to assign a multi linear map at each point in space. This is not a new concept for anyone that has taken multivariable calculus as the Jacobean matrix assigns a linear transformation to each point of space, i.e a rank (1,1) tensor. But in many cases in physics your natural space is not some Rn, but a manifold.
>What is a blingle?Given a zingbop, it's glorpfle and glorfunkle pingrep, a physicists "blingle" of gleep (s,r) is simply a section of the blingle product pingrep of s copies of the glorpfle and r copies of the glorfunkle space. That is, it's a way to assign a soople map at each point in space. This is not a new concept for anyone that has taken multivariable calculus as the Jacobean matrix assigns a linear transformation to each point of space, i.e a rank (1,1) blingle. But in many cases in physics your natural space is not some Rn, but a zingbop.
