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diff --git a/Docs/source/latex_theory/newcommands.tex b/Docs/source/latex_theory/newcommands.tex
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+
+\usepackage{bm}
+\usepackage{amsmath}
+\usepackage{amssymb}
+\usepackage{graphicx}
+\usepackage{url}
+\usepackage{hyperref}
+
+\usepackage[displaymath]{lineno}\usepackage{bm}% bold math
+
+\newcommand{\fe}{\mathbf{\tilde{E}}}
+\newcommand{\fb}{\mathbf{\tilde{B}}}
+\newcommand{\fj}{\mathbf{\tilde{J}}}
+\newcommand{\ff}{\tilde{F}}
+\newcommand{\fg}{\tilde{G}}
+\newcommand{\fk}{\mathbf{k}}
+\newcommand{\fkhat}{\mathbf{\hat{k}}}
+
+% Definitions from Remi's paper on Galilean math
+\newcommand{\Km}{\vec{K}_{\vec{m}}}
+\newcommand{\km}{\vec{k}_{\vec{m}}}
+\renewcommand{\vec}[1]{\boldsymbol{#1}}
+\newcommand{\vgal}{\vec{v}_{gal}}
+\newcommand{\nab}{\vec{\nabla'}}
+\newcommand{\Dt}[1]{ \frac{\partial #1}{\partial t}}
+\newcommand{\mc}[1]{\hat{\mathcal{#1}}}
+\newcommand{\xj}{\vec{x}'_{\vec{j}}}
+\newcommand{\Xll}{\vec{X}_{\vec{\ell}}}
+\newcommand{\Integ}[1]{\int_{-\infty}^{\infty} \!\!\!\!\!\!
+ \mathrm{d}#1}
+\newcommand{\RInteg}[1]{\int_{0}^{\infty} \!\! \frac{#1\mathrm{d}#1}{(2\pi)^2}}
+
+% Definitions from Remi's Thesis
+\newcommand{\h}{\mathcal{H}}
+\newcommand{\hf}{\frac{1}{2}}
+\newcommand{\um}{$\mu$m}
+\newcommand{\Um}{\mu \mathrm{m}}
+\newcommand{\aal}{\langle \vec{a}_l^2 \rangle}
+\newcommand{\etad}{ \eta_d }
+\newcommand{\etae}{ \eta_\epsilon }
+\newcommand{\etag}{ \eta_\gamma }
+\newcommand{\tlambda}{ \tilde{\lambda} }
+%\newcommand\comment[1]{\textcolor{red}{\textbf{#1}}}
+\newcommand{\gsim}{\mathrel{\hbox{\rlap{\lower.55ex
+\hbox{$\sim$}} \kern-.3em \raise.4ex \hbox{$>$}}}}
+\newcommand{\lsim}{\mathrel{\hbox{\rlap{\lower.55ex
+\hbox{$\sim$}} \kern-.3em \raise.4ex \hbox{$<$}}}}
+\newcommand{\kfoc}{k_\mathrm{foc}}
+\newcommand{\bkfoc}{\bar{k}_\mathrm{foc}}
+\newcommand{\xil}{\xi_{\mathrm{laser}}}
+
+\newcommand{\Ex}[2]{{E_x}^{#1}_{#2}}
+\newcommand{\Ey}[2]{{E_y}^{#1}_{#2}}
+\newcommand{\Ez}[2]{{E_z}^{#1}_{#2}}
+\newcommand{\Bx}[2]{{B_x}^{#1}_{#2}}
+\newcommand{\By}[2]{{B_y}^{#1}_{#2}}
+\newcommand{\Bz}[2]{{B_z}^{#1}_{#2}}
+\newcommand{\Jx}[2]{{J_x}^{#1}_{#2}}
+\newcommand{\Jy}[2]{{J_y}^{#1}_{#2}}
+\newcommand{\Jz}[2]{{J_z}^{#1}_{#2}}
+
+\newcommand{\tEr}[2]{\tilde{E_r}^{#1}_{#2}}
+\newcommand{\tEt}[2]{\tilde{E_\theta}^{#1}_{#2}}
+\newcommand{\tEz}[2]{\tilde{E_z}^{#1}_{#2}}
+\newcommand{\tBr}[2]{\tilde{B_r}^{#1}_{#2}}
+\newcommand{\tBt}[2]{\tilde{B_\theta}^{#1}_{#2}}
+\newcommand{\tBz}[2]{\tilde{B_z}^{#1}_{#2}}
+\newcommand{\tJr}[2]{\tilde{J_r}^{#1}_{#2}}
+\newcommand{\tJt}[2]{\tilde{J_\theta}^{#1}_{#2}}
+\newcommand{\tJz}[2]{\tilde{J_z}^{#1}_{#2}}
+
+\newcommand{\CCirc}{\textsc{Calder Circ}}
+\newcommand{\CCart}{\textsc{Calder 3D}} \ No newline at end of file