harryrobert/nav2tex-decoder-latex-pretrain huggingface dataset:
\frac{{\partial{J_{GMEEFP}}}}{{\partial{{\boldsymbol{x}}_k}}}={\boldsymbol{W}}_k^{}{{\boldsymbol{\Lambda}}_k}{{\boldsymbol{d}}_k}-{\boldsymbol{W}}_k^T{{\boldsymbol{\Lambda}}_k}{{\boldsymbol{W}}_k}{{\boldsymbol{x}}_k}
\rho_{s, k}(\varphi b) \, :=\,{\mathbb E}_{0}\big [ Z_{s}^{-1}\varphi (s, \overline{X}_{s, 1}, \ldots , \overline{X}_{s, k}) b(s, X_{s, 1}, F_{s, 1}) \, \vert \, \mathcal F_{T}^{X}\, \big] \,
\lambda_{h2}= \lambda_{h2}^{(0)}+ k^{-2}\lambda_{h2}^{(2)}g_h^{\mu\nu}\partial_{\mu}\partial_{\nu}+ k^{-4}\lambda_{h2}^{(4)}g_h^{\mu \nu}g_h^{\rho \sigma}\partial_\mu \partial_\nu \partial_\rho\partial_\sigma + \ldots
C^{(2)}=\{-\frac{1}{\omega_{A}}(\frac{1}{\omega_{C}}f^{CAB}\varphi_{C}+f^{\lambda AB}\varphi_{\lambda})+\frac{1}{2\omega_{A}\omega_{B}}f_{C}^{\;AB}\varphi^{C}\}(P_{A}^{a}P^{b}_{B}-P^{b}_{A}P^{a}_{B}).
C_1(p,p') = \frac{z^2g_z(|p|)g_z(|p'|)}{p^2 + p'^2 + p\cdot p' + z^2}, C_2(p,p') = \frac{|p||p'|g_z(|p|)g_z(|p'|)}{p^2 + p'^2 + p\cdot p' + z^2}.
\left( \eta_{\mu \nu}\partial_{\mu}\partial_{\nu}+ m^{2}+ \xi R + +{\frac{1}{3}}R_{\alpha}^{\nu}y^{\alpha}\partial_{\nu}-{\frac{1}{3}}R_{\ \alpha \ \beta}^{\mu \ \nu}y^{\alpha}y^{\beta}\partial_{\mu}\partial_{\nu}+ O ( R^{2}) \right) \phi = 0