The technique of extracting the content from geometric (tensor) equations by working in component notation and rearranging indices as required. Index gymnastics is a fundamental component of special and general relativity . Examples of index gymnastics include S^αβ _γ | = | g^βμ S^α _μγ S^α _μγ | = | g_μβ S^αβ _γ A^2 | = | A^α A_α g_αβ g^βγ | = | δ_α ^γ N^α _β ^(, γ) | = | N^α _(β, μ) g^μγ (R_α M_β)_(, γ) | = | R_(α, γ) M_β + R_α M_(β, γ) F_[αβ] | = | 1/2(F_αβ - F_βα) F_(αβ) | = | 1/2(F_αβ + F_βα)
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