fossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 1 day agonumber box o number boxmander.xyzimagemessage-square32linkfedilinkarrow-up1371arrow-down110
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minus-squareDadifer@lemmy.worldlinkfedilinkEnglisharrow-up3·4 hours agoA tensor is a special box of numbers that doesn’t change under coordinate transformation.
minus-squareEq0@literature.cafelinkfedilinkEnglisharrow-up1·4 hours agoWhere does this definition come from? All the geometric definitions of tensors I have met always assumed a base, such that a change of coordinate or of parametrization would change the values of the tensor. Unless you define the tensor by its action instead of its values?
minus-squareexocortex@discuss.tchncs.delinkfedilinkEnglisharrow-up1·4 hours agoIsn’t a tensor the generalization of scalar, vector matrix and so on? (PLUS the invariance under coordinate transforms?) A box would be 3-dimensional indicating that tensors have 3 indices when in reality they have n-indices. Ir am i reading it wrong?
A tensor is a special box of numbers that doesn’t change under coordinate transformation.
Where does this definition come from?
All the geometric definitions of tensors I have met always assumed a base, such that a change of coordinate or of parametrization would change the values of the tensor. Unless you define the tensor by its action instead of its values?
Isn’t a tensor the generalization of scalar, vector matrix and so on? (PLUS the invariance under coordinate transforms?)
A box would be 3-dimensional indicating that tensors have 3 indices when in reality they have n-indices. Ir am i reading it wrong?