| 1 | \setlength{\textheight}{23cm} | 
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| 2 | \setlength{\textwidth}{16cm} | 
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| 3 | \setlength{\topmargin}{0cm} | 
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| 4 | \setlength{\oddsidemargin}{0cm} | 
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| 5 | \setlength{\evensidemargin}{0cm} | 
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| 6 | \setlength{\marginparwidth}{0pt} | 
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| 7 |  | 
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| 8 | \def\beq{\begin{equation}} | 
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| 9 | \def\eeq{\end{equation}} | 
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| 10 | \def\bea{\begin{eqnarray}} | 
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| 11 | \def\eea{\end{eqnarray}} | 
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| 12 | \def\bq{\begin{quote}} | 
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| 13 | \def\eq{\end{quote}} | 
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| 14 | \def \lsim{\mathrel{\vcenter{\hbox{$<$}\nointerlineskip\hbox{$\sim$}}}} | 
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| 15 | \def \gsim{\mathrel{\vcenter{\hbox{$>$}\nointerlineskip\hbox{$\sim$}}}} | 
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| 16 | \def\gappeq{\mathrel{\rlap {\raise.5ex\hbox{$>$}}{\lower.5ex\hbox{$\sim$}}}} | 
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| 17 | \def\lappeq{\mathrel{\rlap{\raise.5ex\hbox{$<$}}{\lower.5ex\hbox{$\sim$}}}} | 
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| 18 | \def\simlt{\stackrel{<}{{}_\sim}} | 
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| 19 | \def\simgt{\stackrel{>}{{}_\sim}} | 
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| 20 | \def\msnu{m_{\tilde{\nu}}} | 
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| 21 | \def\msnui{m_{\tilde{\nu}_i}} | 
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| 22 | \def\msnuj{m_{\tilde{\nu}_j}} | 
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| 23 | \def\msnuI{m_{\tilde{\nu}_I}} | 
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| 24 | \def\msnuJ{m_{\tilde{\nu}_J}} | 
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| 25 | \def\snu{\tilde{\nu}} | 
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| 26 | \def\snuvi{\langle\tilde{\nu}_i\rangle} | 
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| 27 | \def\Huv{\langle H_u \rangle} | 
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| 28 | \def\mchi{m_{\chi}} | 
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| 29 | \def\Rp{R_p} | 
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| 30 | \def\Rpv{R_p \! \! \! \! \! \! /~~} | 
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| 31 | \def\mnu{[m_{\nu}]_{ij}} | 
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| 32 | \def\LI{$\{ L_I \} ~$} | 
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| 33 | \def\vd{\vec{\delta}} | 
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| 34 | \def\hd{\hat{\delta}} | 
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| 35 |  | 
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| 36 | \def\ltap{\raisebox{-.4ex}{\rlap{$\sim$}} \raisebox{.4ex}{$<$}} | 
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| 37 | \def\gtap{\raisebox{-.4ex}{\rlap{$\sim$}} \raisebox{.4ex}{$>$}} | 
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| 38 | \newcommand{\Rsl}{{\not \! \!{R}}} | 
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| 39 | \newcommand{\sqm}{m_{\tilde{q}}} | 
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| 40 | \newcommand{\slm}{m_{\tilde{l}}} | 
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| 41 | \newcommand{\ms}{\widetilde{m}} | 
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| 42 | \newcommand{\sun}{\Delta m^2_{\rm solar}} | 
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| 43 | \newcommand{\atm}{\Delta m^2_{\rm atm}} | 
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| 44 | \newcommand{\lsnd}{\Delta m^2_{\rm LSND}} | 
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| 45 | %\def\bea{\begin{eqnarray}} | 
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| 46 | %\def\eea{\end{eqnarray}} | 
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| 47 | \def\la{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil$\displaystyle## | 
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| 48 | $\hfil\cr<\cr\sim\cr}}} | 
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| 49 | {\vcenter{\offinterlineskip\halign{\hfil$\textstyle## | 
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| 50 | $\hfil\cr<\cr\sim\cr}}} | 
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| 51 | {\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle## | 
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| 52 | $\hfil\cr<\cr\sim\cr}}} | 
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| 53 | {\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$ | 
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| 54 | \hfil\cr<\cr\sim\cr}}}}} | 
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| 55 | % greater than or order of \ga | 
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| 56 | \def\ga{\mathrel{\mathchoice {\vcenter{\offinterlineskip\halign{\hfil | 
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| 57 | $\displaystyle##$\hfil\cr>\cr\sim\cr}}} | 
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| 58 | {\vcenter{\offinterlineskip\halign{\hfil$\textstyle## | 
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| 59 | $\hfil\cr>\cr\sim\cr}}} | 
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| 60 | {\vcenter{\offinterlineskip\halign{\hfil$\scriptstyle## | 
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| 61 | $\hfil\cr>\cr\sim\cr}}} | 
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| 62 | {\vcenter{\offinterlineskip\halign{\hfil$\scriptscriptstyle##$ | 
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| 63 | \hfil\cr>\cr\sim\cr}}}}} | 
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