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  3. 1 be explicit calculation verify that 2 express a 4dimensional...

Question: 1 be explicit calculation verify that 2 express a 4dimensional...

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1. Be explicit calculation verify that: \left ( ds \right )^2=g_{\mu v}dx^{\mu}dx^{v} =g^{\mu v}dx_{\mu}dx_{v}=dx_{\mu}dx^{\mu}

2. Express a 4-dimensional boost (Lorenz transformation) parallel to the z-direction at velocity fraction β using hyperbolic functions of an angle.

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