259 lines
6.7 KiB
TeX
259 lines
6.7 KiB
TeX
%%----------------------------------------------------------------------------%%
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%%---------------------------- Personal Macros -------------------------------%%
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%%----------------------------------------------------------------------------%%
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%% A central location to add your favorite macros.
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%% A few examples to get you started.
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\newcommand{\uv}[1]{\ensuremath{\mathbf{\hat{#1}}}}
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\newcommand{\bo}{\ensuremath{\mathbf{\Omega}}}
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\newcommand{\eref}[1]{Eq.~\ref{#1}}
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\newcommand{\fref}[1]{Fig.~\ref{#1}}
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\newcommand{\tref}[1]{Table~\ref{#1}}
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%%-------------------------------- defs.tex ----------------------------------%%
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\newcommand{\TODO}[1]{\textcolor{blue}{\textit{\textbf{TODO:}\ #1}}}
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\newcommand{\ie}{\textit{i.e.}\xspace}
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\newcommand{\eg}{\textit{e.g.}\xspace}
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\newcommand{\cf}{\textit{cf.}\xspace}
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\newcommand{\apriori}{\textit{a priori}\xspace}
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\WithSuffix\newcommand\apriori*{\textit{a-priori}\xspace}
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\newcommand{\aposteriori}{\textit{a posteriori}\xspace}
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\newcommand{\adhoc}{\textit{ad hoc}\xspace}
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\newcommand{\etal}{\textit{et al.}\xspace}
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\newcommand{\perse}{\textit{per se}\xspace}
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\newcommand{\etc}{\textit{etc.}\xspace}
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\newcommand{\viz}{\textit{viz.}\xspace}
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\newcommand{\via}{\textit{via}\xspace}
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\newcommand{\qua}{\textit{qua}\xspace}
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\newcommand{\viceversa}{\textit{vice versa}\xspace}
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\newcommand{\mathspace}{\ \ }
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\newcommand{\mathtext}[1]{\mathspace\text{#1}\mathspace}
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\newcommand{\fm}{\ensuremath{\mathrm{fm}}}
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\newcommand{\fmi}{\ensuremath{\mathrm{fm}^{-1}}}
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\newcommand{\vecr}{\mathbf{r}}
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\newcommand{\vecx}{\mathbf{x}}
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\newcommand{\vecy}{\mathbf{y}}
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\newcommand{\vecz}{\mathbf{z}}
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\newcommand{\vecn}{\mathbf{n}}
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\newcommand{\vecm}{\mathbf{m}}
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\newcommand{\vecp}{\mathbf{p}}
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\newcommand{\veck}{\mathbf{k}}
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\newcommand{\vecq}{\mathbf{q}}
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\newcommand{\vece}{\mathbf{e}}
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\newcommand{\veca}{\mathbf{a}}
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\newcommand{\vecb}{\mathbf{b}}
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\newcommand{\vecu}{\mathbf{u}}
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\newcommand{\vecv}{\mathbf{v}}
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\newcommand{\vecR}{\mathbf{R}}
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\newcommand{\vecP}{\mathbf{P}}
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\newcommand{\vecK}{\mathbf{K}}
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\newcommand{\vecX}{\mathbf{X}}
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\newcommand{\vecY}{\mathbf{Y}}
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\newcommand{\vecZ}{\mathbf{Z}}
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\newcommand{\vZero}{\mathbf{0}}
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\newcommand{\vNabla}{\boldsymbol{\nabla}}
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\newcommand{\vtheta}{\boldsymbol{\theta}}
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\newcommand{\vsigma}{\boldsymbol{\sigma}}
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\newcommand{\vdelta}{\delta^{(3)}}
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\newcommand{\dd}{\mathrm{d}}
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\newcommand{\dx}[1]{\frac{\dd}{\dd #1}}
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\newcommand{\dq}[1]{\!\!\frac{\mathrm{d}^3#1}{(2\pi)^3}}
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\newcommand{\dqd}[1]{\!\!\frac{\mathrm{d}^d#1}{(2\pi)^d}}
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\newcommand{\dn}[1]{\!\frac{\mathrm{d}#1_0}{2\pi}}
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\newcommand{\dm}[1]{\!\frac{\mathrm{d}#1}{2\pi}}
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\newcommand{\dfq}[1]{\!\!\frac{\mathrm{d}^4#1}{(2\pi)^4}}
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\newcommand{\ddq}{\dq{q}}
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\newcommand{\ddr}{\mathrm{d}^3r}
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\newcommand{\del}[1]{\frac{\partial}{\partial #1}}
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\newcommand{\deli}[2]{\frac{\partial^{#2}}{\partial #1^{#2}}}
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\newcommand{\gsim}{\gtrsim}
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\newcommand{\lsim}{\lesssim}
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\newcommand{\ii}{\mathrm{i}}
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\newcommand{\ee}{\mathrm{e}}
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\newcommand{\vD}{\boldsymbol{D}}
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\newcommand{\vcalD}{\boldsymbol{\cal D}}
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\newcommand{\hc}{\mathrm{h.c.}}
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\newcommand{\OO}{\mathcal{O}}
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\newcommand{\ZZ}{\mathbb{Z}}
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\newcommand{\RR}{\mathbb{R}}
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\newcommand{\CC}{\mathbb{C}}
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\newcommand{\YY}{Y}
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\newcommand{\YYY}{\scalebox{1.33}{\ensuremath{\mathcal{Y}}}}
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\newcommand{\HH}{\mathcal{H}}
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\newcommand{\eps}{\varepsilon}
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\newcommand{\one}{\mathbbm{1}}
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\newcommand{\leviciv}{\epsilon}
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\newcommand{\rot}{\mathrm{rot}}
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\newcommand{\diag}{\mathrm{diag}}
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\newcommand{\Laplace}{\Delta}
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\newcommand{\EulerGamma}{C_E}
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\newcommand{\Rp}{\mathrm{Re}}
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\newcommand{\Ip}{\mathrm{Im}}
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\newcommand{\Si}{\mathrm{Si}}
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\newcommand{\Ci}{\mathrm{Ci}}
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\newcommand{\Li}{\mathrm{Li}}
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\newcommand{\LiTwo}{\mathrm{Li}_2}
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\newcommand{\mean}[1]{\langle #1\rangle}
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\newcommand{\sgn}{\mathrm{sgn}}
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\newcommand{\vectornorm}[1]{{\|#1\|}}
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\newcommand{\conj}[1]{\overline{#1}}
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\newcommand{\abs}[1]{\left|#1\right|}
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\newcommand{\CG}[6]{\ensuremath{C^{#5#6}_{#1#2,#3#4}}}
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\newcommand{\ThreeJ}[6]{\left(\!\!%
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\begin{array}{CCC}%
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{#1} & {#3} & {#5} \\%
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{#2} & {#4} & {#6}%
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\end{array}%
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\!\!\right)%
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}
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\newcommand{\SixJ}[6]{\left\{\!\!%
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\begin{array}{CCC}%
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{#1} & {#2} & {#3}\\[0.2em]%
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{#4} & {#5} & {#6}%
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\end{array}%
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\!\!\right\}%
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}
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\newcommand{\couple}[3]{\left({#1}{#2}\right)\!{#3}}
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\newcommand{\EB}{-E_B}
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\newcommand{\EBp}{E_B}
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\newcommand{\EBm}{\EB}
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\newcommand{\LL}{\mathcal{L}}
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\newcommand{\MN}{M_N}
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\newcommand{\Md}{M_d}
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\newcommand{\Mpi}{M_\pi}
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\newcommand{\ec}{e}
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\newcommand{\Mhi}{M_{\text{hi}}}
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\newcommand{\Mlo}{M_{\text{lo}}}
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\newcommand*\rvec[1]%
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{\ensuremath{\overset{\smash{\raisebox{-1.5pt}{\tiny$\rightarrow$}}}{#1}}}
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\newcommand*\lvec[1]%
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{\ensuremath{\overset{\smash{\raisebox{-1.5pt}{\tiny$\leftarrow$}}}{#1}}}
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\newcommand{\vDright}{\rvec{\vD}}
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\newcommand{\vDleft}{\lvec{\vD}}
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\newcommand{\vk}{\mathbf{k}}
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\newcommand{\vp}{\mathbf{p}}
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\newcommand{\vq}{\mathbf{q}}
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\newcommand{\vx}{\mathbf{x}}
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\newcommand{\vy}{\mathbf{y}}
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\newcommand{\vz}{\mathbf{z}}
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\newcommand{\vA}{\mathbf{A}}
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\newcommand{\vj}{\mathbf{j}}
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\newcommand{\vP}{\mathbf{P}}
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\newcommand{\vK}{\mathbf{K}}
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\newcommand{\vX}{\mathbf{X}}
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\newcommand{\vB}{\mathbf{B}}
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\newcommand{\dqn}{\dn{q}}
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\newcommand{\keV}{\ensuremath{\mathrm{keV}}}
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\newcommand{\MeV}{\ensuremath{\mathrm{MeV}}}
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\newcommand{\atanh}{\mathrm{atanh}}
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\newcommand{\tr}{\mathrm{tr}}
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\newcommand{\Tr}{\mathrm{Tr}}
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\newcommand{\LO}{\text{LO}\xspace}
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\newcommand{\NLO}{\text{NLO}\xspace}
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\newcommand{\NNLO}{\text{N$^2$LO}\xspace}
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\newcommand{\NNNLO}{\text{N$^3$LO}\xspace}
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\newcommand{\skrowspace}{0.5em}
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\NewEnviron{subalign}[1][]{%
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\begin{subequations}\begin{align}
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\BODY
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\end{align}\label{#1}\end{subequations}
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}
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\NewEnviron{spliteq}{%
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\begin{equation}\begin{split}
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\BODY
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\end{split}\end{equation}
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}
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\NewEnviron{mleq}{%
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\begin{equation}
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\BODY
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\end{equation}
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}
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\newcommand{\ph}{{\phantom{0}}}
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\newcommand{\cS}{\mathcal{S}}
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\newcommand{\psia}{\psi_{\text{Lo}}}
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\newcommand{\psib}{\psi_{\text{Hi}}}
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\newcommand{\psiinf}{\psi_{\infty}}
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\newcommand{\Om}{\OO}
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\newcommand{\Vn}{V_{C,nL}^t}
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\newcommand{\Vd}{\Delta V}
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\newcommand{\keteta}{\xi}
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\renewcommand{\vec}[1]{\mathbf{#1}}
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\newcommand{\anc}{A}
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\newcommand{\Dil}[2]{D_{#1,#2}}
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\newcommand{\maxplus}{\mathbin{\stackrel{\text{max}}{+}}}
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\newcommand{\minplus}{\mathbin{\stackrel{\text{min}}{+}}}
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\newcommand{\inner}[2]{\langle#1,#2\rangle}
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\newcommand{\maxinner}[2]{\inner{#1}{#2}_{\text{max}}}
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\newcommand{\dvrsum}[2]{\sum\limits_{#1={-}#2/2}^{#2/2-1}}
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\newcommand{\cdd}{{\cdot\cdot}}
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\newtheorem{lemma}{Lemma}
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\newcommand\abssym[1]{\left|#1\right|}
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\newcommand\normsym[1]{\left\Vert#1\right\Vert}
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\newcommand\norm[1]{\|#1\|}
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\newcommand\parenth[1]{\left(#1\right)}
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\newcommand{\Jostf}{\mathcal{F}}
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\newcommand{\ny}[1]{\textcolor{gray}{NY: #1}}
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\newcommand{\braketmatrix}[3]{\left \langle #1 \middle| #2 \middle| #3 \right \rangle}
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