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- \ProvidesPackage{sng_style}
- % Other packages
- \usepackage{amssymb,amsmath,amsfonts,amsthm,bm,enumerate}
- % Environment definitions
- \newtheoremstyle{tnamed}
- {\topsep}
- {\topsep}
- {}
- {}
- {\bfseries}
- {.}
- { }
- {\thmname{#1}\thmnumber{ #2}\thmnote{ (#3)}}
- \newtheoremstyle{notenamed*}
- {\topsep}
- {\topsep}
- {\slshape}
- {}
- {\bfseries}
- {:}
- { }
- {\thmnote{#3}}
- \theoremstyle{notenamed*}
- \newtheorem{note*}{Note}
- \theoremstyle{tnamed}
- \newtheorem{tnamed}[subsection]{Theorem}
- \newtheorem{cnamed}[subsection]{Corollary}
- \theoremstyle{definition}
- \newtheorem{definition}[subsection]{Definition}
- \newtheorem{example}[subsection]{Example}
- \newtheorem{corollary}[subsection]{Corollary}
- \newtheorem{lemma}[subsection]{Lemma}
- \newtheorem{proposition}[subsection]{Proposition}
- \newtheorem{exercise}[subsection]{Exercise}
- \newcommand{\notebox}[2]{%
- \begin{center}
- \fbox{
- \centering
- \parbox{#1}{%
- #2
- }%
- }%
- \end{center}
- }
- \newcommand{\units}[1]{\mathrm{#1}}
- % Sets
- \newcommand{\N}{\mathbb{N}}
- \newcommand{\R}{\mathbb{R}}
- \newcommand{\C}{\mathbb{C}}
- \newcommand{\Z}{\mathbb{Z}}
- \newcommand{\Q}{\mathbb{Q}}
- % Shortcuts
- \newcommand{\od}[2]{\frac{\mathrm{d} #1}{\mathrm{d} #2}}
- \newcommand{\odn}[3]{\frac{\mathrm{d}^{#1} #2}{\mathrm{d} #3^{#1}}}
- \newcommand{\pd}[2]{\frac{\partial #1}{\partial #2}}
- \newcommand{\pdn}[3]{\frac{\partial^{#1} #2}{\partial #3^{#1}}}
- \newcommand{\then}{\Longrightarrow \quad}
- \newcommand{\Then}{\quad \Longrightarrow \quad}
- \newcommand{\D}{\,\mathrm{d}}
- \newcommand{\ve}{\bm}
- \newcommand{\del}{\partial}
- \newcommand{\grad}{\nabla}
- \renewcommand{\div}{\nabla \cdot}
- \newcommand{\curl}{\nabla \times}
- \newcommand{\cross}{\times}
- % Operators
- \DeclareMathOperator{\diag}{diag}
- \DeclareMathOperator{\J}{J}
- \DeclareMathOperator{\Y}{Y}
- \DeclareMathOperator{\Ai}{Ai}
- \DeclareMathOperator{\Bi}{Bi}
- \DeclareMathOperator{\sech}{sech}
- \DeclareMathOperator{\csch}{csch}
- \DeclareMathOperator{\sgn}{sgn}
- \DeclareMathOperator{\e}{e}
- % Hat lower case letters
- \newcommand{\hta}{\hat{a}}
- \newcommand{\htb}{\hat{b}}
- \newcommand{\htc}{\hat{c}}
- \newcommand{\htd}{\hat{d}}
- \newcommand{\hte}{\hat{e}}
- \newcommand{\htf}{\hat{f}}
- \newcommand{\htg}{\hat{g}}
- \newcommand{\hth}{\hat{h}}
- \newcommand{\hti}{\hat{\imath}}
- \newcommand{\htj}{\hat{\jmath}}
- \newcommand{\htk}{\hat{k}}
- \newcommand{\htl}{\hat{l}}
- \newcommand{\htm}{\hat{m}}
- \newcommand{\htn}{\hat{n}}
- \newcommand{\hto}{\hat{o}}
- \newcommand{\htp}{\hat{p}}
- \newcommand{\htq}{\hat{q}}
- \newcommand{\htr}{\hat{r}}
- \newcommand{\hts}{\hat{s}}
- \newcommand{\htt}{\hat{t}}
- \newcommand{\htu}{\hat{u}}
- \newcommand{\htv}{\hat{v}}
- \newcommand{\htw}{\hat{w}}
- \newcommand{\htx}{\hat{x}}
- \newcommand{\hty}{\hat{y}}
- \newcommand{\htz}{\hat{z}}
- % Hat upper case letters
- \newcommand{\htA}{\hat{A}}
- \newcommand{\htB}{\hat{B}}
- \newcommand{\htC}{\hat{C}}
- \newcommand{\htD}{\hat{D}}
- \newcommand{\htE}{\hat{E}}
- \newcommand{\htF}{\hat{F}}
- \newcommand{\htG}{\hat{G}}
- \newcommand{\htH}{\hat{H}}
- \newcommand{\htI}{\hat{I}}
- \newcommand{\htJ}{\hat{J}}
- \newcommand{\htK}{\hat{K}}
- \newcommand{\htL}{\hat{L}}
- \newcommand{\htM}{\hat{M}}
- \newcommand{\htN}{\hat{N}}
- \newcommand{\htO}{\hat{O}}
- \newcommand{\htP}{\hat{P}}
- \newcommand{\htQ}{\hat{Q}}
- \newcommand{\htR}{\hat{R}}
- \newcommand{\htS}{\hat{S}}
- \newcommand{\htT}{\hat{T}}
- \newcommand{\htU}{\hat{U}}
- \newcommand{\htV}{\hat{V}}
- \newcommand{\htW}{\hat{W}}
- \newcommand{\htX}{\hat{X}}
- \newcommand{\htY}{\hat{Y}}
- \newcommand{\htZ}{\hat{Z}}
- % Hat lower case Greek letters
- \newcommand{\htalpha}{\hat{\alpha}}
- \newcommand{\htbeta}{\hat{\beta}}
- \newcommand{\htgamma}{\hat{\gamma}}
- \newcommand{\htdelta}{\hat{\delta}}
- \newcommand{\htepsilon}{\hat{\epsilon}}
- \newcommand{\htzeta}{\hat{\zeta}}
- \newcommand{\hteta}{\hat{\eta}}
- \newcommand{\httheta}{\hat{\theta}}
- \newcommand{\htiota}{\hat{\iota}}
- \newcommand{\htkappa}{\hat{\kappa}}
- \newcommand{\htlambda}{\hat{\lambda}}
- \newcommand{\htmu}{\hat{\mu}}
- \newcommand{\htnu}{\hat{\nu}}
- \newcommand{\htxi}{\hat{\xi}}
- \newcommand{\htpi}{\hat{\pi}}
- \newcommand{\htrho}{\hat{\rho}}
- \newcommand{\htsigma}{\hat{\sigma}}
- \newcommand{\httau}{\hat{\htau}}
- \newcommand{\htupsilon}{\hat{\upsilon}}
- \newcommand{\htphi}{\hat{\phi}}
- \newcommand{\htchi}{\hat{\chi}}
- \newcommand{\htpsi}{\hat{\psi}}
- \newcommand{\htvarphi}{\hat{\varphi}}
- \newcommand{\htomega}{\hat{\omega}}
- % Hat upper case Greek letters
- \newcommand{\htGamma}{\hat{\Gamma}}
- \newcommand{\htDelta}{\hat{\Delta}}
- \newcommand{\htTheta}{\hat{\Theta}}
- \newcommand{\htLambda}{\hat{\Lambda}}
- \newcommand{\htXi}{\hat{\Xi}}
- \newcommand{\htPi}{\hat{\Pi}}
- \newcommand{\htSigma}{\hat{\Sigma}}
- \newcommand{\htPhi}{\hat{\phi}}
- \newcommand{\htPsi}{\hat{\Psi}}
- \newcommand{\htOmega}{\hat{\Omega}}
- % Tilde lower case letters
- \newcommand{\ta}{\tilde{a}}
- \newcommand{\tb}{\tilde{b}}
- \newcommand{\tc}{\tilde{c}}
- \newcommand{\td}{\tilde{d}}
- \newcommand{\te}{\tilde{e}}
- \newcommand{\tf}{\tilde{f}}
- \newcommand{\tg}{\tilde{g}}
- \newcommand{\tlh}{\tilde{h}}
- \newcommand{\ti}{\tilde{\imath}}
- \newcommand{\tj}{\tilde{\jmath}}
- \newcommand{\tk}{\tilde{k}}
- \newcommand{\tl}{\tilde{l}}
- \newcommand{\tm}{\tilde{m}}
- \newcommand{\tn}{\tilde{n}}
- \newcommand{\tlo}{\tilde{o}}
- \newcommand{\tp}{\tilde{p}}
- \newcommand{\tq}{\tilde{q}}
- \newcommand{\tr}{\tilde{r}}
- \newcommand{\ts}{\tilde{s}}
- \newcommand{\tlt}{\tilde{t}}
- \newcommand{\tu}{\tilde{u}}
- \newcommand{\tv}{\tilde{v}}
- \newcommand{\tw}{\tilde{w}}
- \newcommand{\tx}{\tilde{x}}
- \newcommand{\ty}{\tilde{y}}
- \newcommand{\tz}{\tilde{z}}
- % Tilde upper case letters
- \newcommand{\tA}{\tilde{A}}
- \newcommand{\tB}{\tilde{B}}
- \newcommand{\tC}{\tilde{C}}
- \newcommand{\tD}{\tilde{D}}
- \newcommand{\tE}{\tilde{E}}
- \newcommand{\tF}{\tilde{F}}
- \newcommand{\tG}{\tilde{G}}
- \newcommand{\tH}{\tilde{H}}
- \newcommand{\tI}{\tilde{I}}
- \newcommand{\tJ}{\tilde{J}}
- \newcommand{\tK}{\tilde{K}}
- \newcommand{\tL}{\tilde{L}}
- \newcommand{\tM}{\tilde{M}}
- \newcommand{\tN}{\tilde{N}}
- \newcommand{\tO}{\tilde{O}}
- \newcommand{\tP}{\tilde{P}}
- \newcommand{\tQ}{\tilde{Q}}
- \newcommand{\tR}{\tilde{R}}
- \newcommand{\tS}{\tilde{S}}
- \newcommand{\tT}{\tilde{T}}
- \newcommand{\tU}{\tilde{U}}
- \newcommand{\tV}{\tilde{V}}
- \newcommand{\tW}{\tilde{W}}
- \newcommand{\tX}{\tilde{X}}
- \newcommand{\tY}{\tilde{Y}}
- \newcommand{\tZ}{\tilde{Z}}
- % Tilde lower case Greek letters
- \newcommand{\talpha}{\tilde{\alpha}}
- \newcommand{\tbeta}{\tilde{\beta}}
- \newcommand{\tgamma}{\tilde{\gamma}}
- \newcommand{\tdelta}{\tilde{\delta}}
- \newcommand{\tepsilon}{\tilde{\epsilon}}
- \newcommand{\tzeta}{\tilde{\zeta}}
- \newcommand{\teta}{\tilde{\eta}}
- \newcommand{\ttheta}{\tilde{\theta}}
- \newcommand{\tiota}{\tilde{\iota}}
- \newcommand{\tkappa}{\tilde{\kappa}}
- \newcommand{\tlambda}{\tilde{\lambda}}
- \newcommand{\tmu}{\tilde{\mu}}
- \newcommand{\tnu}{\tilde{\nu}}
- \newcommand{\txi}{\tilde{\xi}}
- \newcommand{\tpi}{\tilde{\pi}}
- \newcommand{\trho}{\tilde{\rho}}
- \newcommand{\tsigma}{\tilde{\sigma}}
- \newcommand{\ttau}{\tilde{\tau}}
- \newcommand{\tupsilon}{\tilde{\upsilon}}
- \newcommand{\tphi}{\tilde{\phi}}
- \newcommand{\tchi}{\tilde{\chi}}
- \newcommand{\tpsi}{\tilde{\psi}}
- \newcommand{\tvarphi}{\tilde{\varphi}}
- \newcommand{\tomega}{\tilde{\omega}}
- % Tilde upper case Greek letters
- \newcommand{\tGamma}{\tilde{\Gamma}}
- \newcommand{\tDelta}{\tilde{\Delta}}
- \newcommand{\tTheta}{\tilde{\Theta}}
- \newcommand{\tLambda}{\tilde{\Lambda}}
- \newcommand{\tXi}{\tilde{\Xi}}
- \newcommand{\tPi}{\tilde{\Pi}}
- \newcommand{\tSigma}{\tilde{\Sigma}}
- \newcommand{\tPhi}{\tilde{\phi}}
- \newcommand{\tPsi}{\tilde{\Psi}}
- \newcommand{\tOmega}{\tilde{\Omega}}
- % Bar lower case letters
- \newcommand{\bra}{\bar{a}}
- \newcommand{\brb}{\bar{b}}
- \newcommand{\brc}{\bar{c}}
- \newcommand{\brd}{\bar{d}}
- \newcommand{\bre}{\bar{e}}
- \newcommand{\brf}{\bar{f}}
- \newcommand{\brg}{\bar{g}}
- \newcommand{\brh}{\bar{h}}
- \newcommand{\bri}{\bar{\imath}}
- \newcommand{\brj}{\bar{\jmath}}
- \newcommand{\brk}{\bar{k}}
- \newcommand{\brl}{\bar{l}}
- \newcommand{\brm}{\bar{m}}
- \newcommand{\brn}{\bar{n}}
- \newcommand{\bro}{\bar{o}}
- \newcommand{\brp}{\bar{p}}
- \newcommand{\brq}{\bar{q}}
- \newcommand{\brr}{\bar{r}}
- \newcommand{\brs}{\bar{s}}
- \newcommand{\brt}{\bar{t}}
- \newcommand{\bru}{\bar{u}}
- \newcommand{\brv}{\bar{v}}
- \newcommand{\brw}{\bar{w}}
- \newcommand{\brx}{\bar{x}}
- \newcommand{\bry}{\bar{y}}
- \newcommand{\brz}{\bar{z}}
- % Bar upper case letters
- \newcommand{\brA}{\bar{A}}
- \newcommand{\brB}{\bar{B}}
- \newcommand{\brC}{\bar{C}}
- \newcommand{\brD}{\bar{D}}
- \newcommand{\brE}{\bar{E}}
- \newcommand{\brF}{\bar{F}}
- \newcommand{\brG}{\bar{G}}
- \newcommand{\brH}{\bar{H}}
- \newcommand{\brI}{\bar{I}}
- \newcommand{\brJ}{\bar{J}}
- \newcommand{\brK}{\bar{K}}
- \newcommand{\brL}{\bar{L}}
- \newcommand{\brM}{\bar{M}}
- \newcommand{\brN}{\bar{N}}
- \newcommand{\brO}{\bar{O}}
- \newcommand{\brP}{\bar{P}}
- \newcommand{\brQ}{\bar{Q}}
- \newcommand{\brR}{\bar{R}}
- \newcommand{\brS}{\bar{S}}
- \newcommand{\brT}{\bar{T}}
- \newcommand{\brU}{\bar{U}}
- \newcommand{\brV}{\bar{V}}
- \newcommand{\brW}{\bar{W}}
- \newcommand{\brX}{\bar{X}}
- \newcommand{\brY}{\bar{Y}}
- \newcommand{\brZ}{\bar{Z}}
- % Bar lower case Greek letters
- \newcommand{\bralpha}{\bar{\alpha}}
- \newcommand{\brbeta}{\bar{\beta}}
- \newcommand{\brgamma}{\bar{\gamma}}
- \newcommand{\brdelta}{\bar{\delta}}
- \newcommand{\brepsilon}{\bar{\epsilon}}
- \newcommand{\brzeta}{\bar{\zeta}}
- \newcommand{\breta}{\bar{\eta}}
- \newcommand{\brtheta}{\bar{\brheta}}
- \newcommand{\briota}{\bar{\iota}}
- \newcommand{\brkappa}{\bar{\kappa}}
- \newcommand{\brlambda}{\bar{\lambda}}
- \newcommand{\brmu}{\bar{\mu}}
- \newcommand{\brnu}{\bar{\nu}}
- \newcommand{\brxi}{\bar{\xi}}
- \newcommand{\brpi}{\bar{\pi}}
- \newcommand{\brrho}{\bar{\rho}}
- \newcommand{\brsigma}{\bar{\sigma}}
- \newcommand{\brtau}{\bar{\brau}}
- \newcommand{\brupsilon}{\bar{\upsilon}}
- \newcommand{\brphi}{\bar{\phi}}
- \newcommand{\brchi}{\bar{\chi}}
- \newcommand{\brpsi}{\bar{\psi}}
- \newcommand{\brvarphi}{\bar{\varphi}}
- \newcommand{\bromega}{\bar{\omega}}
- % Bar upper case Greek letters
- \newcommand{\brGamma}{\bar{\Gamma}}
- \newcommand{\brDelta}{\bar{\Delta}}
- \newcommand{\brTheta}{\bar{\Theta}}
- \newcommand{\brLambda}{\bar{\Lambda}}
- \newcommand{\brXi}{\bar{\Xi}}
- \newcommand{\brPi}{\bar{\Pi}}
- \newcommand{\brSigma}{\bar{\Sigma}}
- \newcommand{\brPhi}{\bar{\Phi}}
- \newcommand{\brPsi}{\bar{\Psi}}
- \newcommand{\brOmega}{\bar{\Omega}}
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