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Bernard Kelly deleted ___gamma2.tex
about 10 years ago
Commit id: c0741028c4dc5b858b29cc2835920b31fd695048
deletions | additions
diff --git a/___gamma2.tex b/___gamma2.tex
deleted file mode 100644
index e5c7050..0000000
--- a/___gamma2.tex
+++ /dev/null
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& = & \gamma^2 v^m v^n \ell_{m,n}\\
& = & - \left[ \delta^m_i + ( \gamma - 1 ) \frac{v^m v_i}{v^2} \right] \gamma v^n \ell_{m,n}\\
& = & - \gamma v^n \ell_{i,n} - \gamma ( \gamma - 1 ) \frac{v^m v^n v_i}{v^2} \ell_{m,n}\\
& = & - \left[ \delta^n_j + ( \gamma - 1 ) \frac{v^n v_j}{v^2} \right] \gamma v^m \ell_{m,n}\\
& = & - \gamma v^m \ell_{m,j} - \gamma ( \gamma - 1 ) \frac{v^m v^n v_j}{v^2} \ell_{m,n}\\
\ell_{i',j'} & = & \Lambda^{m}_{\,\, i'} \Lambda^{n}_{\,\, j'} \ell_{m,n}\\
& = & \left[ \delta^m_i + ( \gamma - 1 ) \frac{v^m v_i}{v^2} \right] \left[ \delta^n_j + ( \gamma - 1 ) \frac{v^n v_j}{v^2} \right] \ell_{m,n}\\
& = & \left[ \delta^m_i + ( \gamma - 1 ) \frac{v^m v_i}{v^2} \right] \left[ \ell_{m,j} + ( \gamma - 1 ) \frac{v^n v_j}{v^2} \ell_{m,n} \right]\\
& = & \ell_{i,j} + ( \gamma - 1 ) \frac{v^n v_j}{v^2} \ell_{i,n} + ( \gamma - 1 ) \frac{v^m v_i}{v^2} \ell_{m,j} + ( \gamma - 1 )^2 \frac{v^m v_i}{v^2} \frac{v^n v_j}{v^2} \ell_{m,n} \\
diff --git a/layout.md b/layout.md
index 403ed33..5f39b87 100644
--- a/layout.md
+++ b/layout.md
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___gamma.tex
The_derivatives_of_t.tex
H_alpha.tex
___gamma2.tex
brace_ds2__.tex
brace_gamma_i_j_.tex
subsectionzBoosted_I.tex