consider we have n dimensional manifold,N(adsbygoogle = window.adsbygoogle || []).push({});

at point p we can define a vector

this vector is independent of our coordinate.

assume we choose two chart (u,ψ) and (v,Ω) that intersection of ψ and Ω is not empty.

in this situation, we know a vector define at p in chart (u,ψ) transforms to chart (v,Ω) with this relation

[itex]v^μ{}[/itex]=[itex]\frac{}4{}21[/itex]

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# Transoformation of vector

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