%*****
% This is a section for thesis contents.
%\newcommand{\data}{{\boldsymbol d}}
%\newcommand{\n}{{\boldsymbol n}}
\newcommand{\ndim}{n}
\newcommand{\ndimlev}{{n_0}}
\newcommand{\maxlev}{J}
\newcommand{\nsamp}{N}
\newcommand{\data}{\by}
\newcommand{\vsig}{\bx}
\newcommand{\sig}{x}
\newcommand{\noise}{\beps}
\newcommand{\Wmat}{{\boldsymbol W}}
\newcommand{\coeff}{{\boldsymbol \alpha}}
%\newcommand{\Lib}{{\mathfrak L}}
%\newcommand{\B}{{\mathfrak B}}
%\newcommand{\Dict}{{\mathfrak D}}
\newcommand{\Lib}{{\eul L}}
\newcommand{\B}{{\eul B}}
\newcommand{\Dict}{{\eul D}}
\newcommand{\thres}{{\boldsymbol \Theta}}
\newcommand{\Id}{{\boldsymbol I}}
\newcommand{\unit}{{\boldsymbol u}}
\newcommand{\LF}{L}
\newcommand{\subsp}{\Omega}

\newcommand{\train}{{\eul T}}
\newcommand{\test}{{\eul T}'}
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\newcommand{\E}{{\eul E}}
\newcommand{\F}{{\eul F}}
\newcommand{\D}{{\eul D}}
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\newcommand{\GL}{\mathrm{GL}}
\newcommand{\TF}{\Gamma}
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\newcommand{\vTF}{\bGamma}
\newcommand{\energydist}{\bgamma}
\newcommand{\bzero}{{\boldsymbol 0}}
\newcommand{\bone}{{\boldsymbol 1}}
\newcommand{\unif}{\operatorname{unif}}
%\newcommand{\nclass}{C}
\newcommand{\nclass}{K}
\newcommand{\iclass}{c}
\newcommand{\dist}{ , }
\newcommand{\wk}{\varDelta}
\newcommand{\splus}{\textsf{S-PLUS}}
\newcommand{\s}{\textsf{S}}
%\newcommand{\ind}{\mathrm{1}}
\newcommand{\ind}{I}
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\newcommand{\cond}{\,|\,}
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\newcommand{\Var}{\operatorname{Var}}
\newcommand{\Span}{\operatorname{span}}
\newcommand{\supp}{\operatorname{supp}}

\newcommand{\derc}{r}
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\newcommand{\onpsi}{\psi}
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\newcommand{\aupsi}{\Psi}
\newcommand{\acsphi}{\Phi}
\newcommand{\acspsi}{\Psi}

\newcommand{\Besov}[3]{B^{{#1},{#2}}_{#3}}
\newcommand{\hBesov}[3]{\dot{B}^{{#1},{#2}}_{#3}}
\newcommand{\Holder}[1]{C^{#1}}
\newcommand{\hHolder}[1]{\dot{C}^{#1}}
\newcommand{\Lip}[1]{\Lambda^{#1}}
\newcommand{\hLip}[1]{\dot{\Lambda}^{#1}}

\newcommand{\pv}{\,\, \mathrm{pv}\!\!}
\newcommand{\Hilb}{\eul H}

\newcommand{\tg}{\operatorname{tg}}
%\renewcommand{\dd}{{\mathrm d}}
%*****
