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  • is there any difference between these Differential $dx^2$ and $(dx)^2$!?

  • what is relation between them?

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closed as off topic by Carl Brannen, Kostya, Qmechanic, David Z Jul 8 '12 at 16:04

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Why are you asking it at Physics.SE? Isn't Maths.SE correct place for it? – Evil Angel Jul 8 '12 at 10:25
Note that in the context of (one-dimensional) Riemannian manifolds, the flat space metric tensor $(dx)^2$ is always written as $dx^2$. – Qmechanic Dec 9 '12 at 19:36

You can write:


Instead $(dx)^2$ is usually intended as a second order correction and typically is neglected in calculations.

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