%my command list
%written by Naveen V Nair : If anyone wants to use this, please feel free :-) ... 
%some general stuff
%1. vector fonts
\newcommand{\vb}[1]{\mathbf{#1}} 
%2. my way of numbering theorems proofs and the like
\newtheorem{theorem}{Theorem}[section]
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{corollary}[theorem]{Corollary}
\newtheorem{definition}{Definition}
\newtheorem{proof}[theorem]{Proof}
\newtheorem{result}{Result}

%\newenvironment{proof}[1][Proof]{\begin{trivlist}
%\item[\hskip \labelsep {\bfseries #1}]}{\end{trivlist}}
%\newenvironment{definition}[1][Definition]{\begin{trivlist}
%\item[\hskip \labelsep {\bfseries #1}]}{\end{trivlist}}
%\newenvironment{example}[1][Example]{\begin{trivlist}
%\item[\hskip \labelsep {\bfseries #1}]}{\end{trivlist}}
%\newenvironment{remark}[1][Remark]{\begin{trivlist}
%\item[\hskip \labelsep {\bfseries #1}]}{\end{trivlist}}

%3. curl,div,etc who is going to write them each time....WHY are they not included in latex already????
\newcommand{\del}{\nabla}
\newcommand{\curl}{\nabla \times}
\renewcommand{\div}{\nabla \cdot}
\newcommand{\delsq}{\nabla^2}
\newcommand{\cross}{\times}

%sometimes i want to write lap instead of delsq

\newcommand{\lap}{\nabla^2} 
%4. shortening some commands
\newcommand{\tends}{\rightarrow}
\newcommand{\abs}[1]{\left | #1 \right| } 
\newcommand{\norm}[2]{\left\Vert #2 \right\Vert_{#1}}  
%5.for generating eqrefs ..might conflict
% \newcommand{\eqref}[1]{(\ref{#1})}
%6. Good heavens i don't want to mathbb each time for complex spaces and real spaces and the like...
\newcommand{\rl}{\mathbb{R}}
\newcommand{\rln}[1]{\mathbb{R}^#1}
\newcommand{\cp}{\mathbb{C}}
\newcommand{\cpn}[1]{\mathbb{C}^#1}
\newcommand{\intgr}{\mathbb{Z}}
\newcommand{\intgrn}[1]{\mathbb{Z}^#1}

%7. for some reason the concept of ``support'' of a function, ``erfc'' etc is alien to Latex .. here is the fix. 
%\newcommand{\supp}[1]{\mathbf{supp}\mbox{ }{\{#1\}}}
\newcommand{\erfc}[1]{\mathbf{erfc}\left(#1\right)}
\providecommand{\tnorm}[1]{\Vert #1 \Vert}
\newcommand{\spn}[2]{span_#1 \left\{#2\right\}}

% ok lets try and make a max and min setup
\providecommand{\mmax}[2]{\mathop{max}_{#1}\left\{#2\right\}}
\providecommand{\mmin}[2]{\mathop{min}_{#1}\left\{#2\right\}}
\providecommand{\msup}[2]{\mathop{sup}_{#1}\left\{#2\right\}}
\providecommand{\minf}[2]{\mathop{inf}_{#1}\left\{#2\right\}}


%8 and finally some of my own quirks :-) 
\newcommand{\T}{\Tau}
\newcommand{\alfa}{\alpha}
\newcommand{\eps}{\varepsilon}
%wonder why no one ever did this ????
\newcommand{\ga}{\alfa}
\newcommand{\gb}{\beta}
%\newcommand{\gg}{\gamma}
\newcommand{\gd}{\dela}
%\newcommand{\ge}{\epsilon}
\newcommand{\gk}{\kappa}
\newcommand{\gr}{\rho}
\newcommand{\gw}{\omega}
\newcommand{\gt}{\tau}
\newcommand{\gz}{\zeta}
\newcommand{\gx}{\chi}
\newcommand{\gs}{\sigma}
\newcommand{\gn}{\nu}
\newcommand{\gp}{\pi}
\newcommand{\gc}{\psi}
\newcommand{\gf}{\phi}
\newcommand{\gq}{\theta}
\newcommand{\gl}{\lamda}
%and now caps
\newcommand{\gA}{\Alfa}
\newcommand{\gB}{\Beta}
\newcommand{\gG}{\Gamma}
\newcommand{\gD}{\Dela}
\newcommand{\gE}{\Epsilon}
\newcommand{\gK}{\Kappa}
\newcommand{\gR}{\Rho}
\newcommand{\gW}{\Omega}
\newcommand{\gT}{\Tau}
\newcommand{\gZ}{\Zeta}
\newcommand{\gX}{\Chi}
\newcommand{\gS}{\Sigma}
\newcommand{\gN}{\Nu}
\newcommand{\gP}{\Pi}
\newcommand{\gC}{\Psi}
\newcommand{\gF}{\Phi}
\newcommand{\gQ}{\Theta}
\newcommand{\gL}{\Lamda}

%creating some of my own symbols : first for such that an inverted E
\newcommand{\such}{ \mbox{ } \cdot \! \supset \!\!\!\!\!\!\! -\!\!\!- \! \cdot \mbox{ }}
%integral with a bar 
\newcommand{\barint}{\int \!\!\!\!\!\! -}
%ofcourse Rn and Cn 
\newcommand{\rn}[2]{\mathbb#1^#2}
\providecommand{\qed}{\nobreak \ifvmode \relax \else
      \ifdim\lastskip<1.5em \hskip-\lastskip
      \hskip1.5em plus0em minus0.5em \fi \nobreak
      \vrule height0.75em width0.5em depth0.25em\fi}


% and i keep adding stuff
\newcommand{\dt}{{\Delta t}}
\renewcommand{\baselinestretch}{1.0}
\newcommand{\curr}{\bf J}
\newcommand{\hfl}{ H^{1/2}_{div}}


%bold face characters
\newcommand{\ba}{{\bf a}}
\newcommand{\bb}{{\bf b}}
\newcommand{\bc}{{\bf c}}
\newcommand{\bd}{{\bf d}}
\newcommand{\be}{{\bf e}}
\newcommand{\bg}{{\bf g}}
\newcommand{\bh}{{\bf h}}
\newcommand{\bi}{{\bf i}}
\newcommand{\bj}{{\bf j}}
\newcommand{\bk}{{\bf k}}
\newcommand{\bl}{{\bf l}}
\newcommand{\bm}{{\bf m}}
\newcommand{\bn}{{\bf n}}
\newcommand{\bo}{{\bf o}}
\newcommand{\bp}{{\bf p}}
\newcommand{\bq}{{\bf q}}
\newcommand{\br}{{\bf r}}
\newcommand{\bs}{{\bf s}}
\newcommand{\bt}{{\bf t}}
\newcommand{\bu}{{\bf u}}
\newcommand{\bv}{{\bf v}}
\newcommand{\bw}{{\bf w}}
\newcommand{\bx}{{\bf x}}
\newcommand{\by}{{\bf y}}
\newcommand{\bz}{{\bf z}}
\newcommand{\bA}{{\bf A}}
\newcommand{\bB}{{\bf B}}
\newcommand{\bC}{{\bf C}}
\newcommand{\bD}{{\bf D}}
\newcommand{\bE}{{\bf E}}
\newcommand{\bF}{{\bf F}}
\newcommand{\bG}{{\bf G}}
\newcommand{\bH}{{\bf H}}
\newcommand{\bI}{{\bf I}}
\newcommand{\bJ}{{\bf J}}
\newcommand{\bK}{{\bf K}}
\newcommand{\bL}{{\bf L}}
\newcommand{\bM}{{\bf M}}
\newcommand{\bN}{{\bf N}}
\newcommand{\bO}{{\bf O}}
\newcommand{\bP}{{\bf P}}
\newcommand{\bQ}{{\bf Q}}
\newcommand{\bR}{{\bf R}}
\newcommand{\bS}{{\bf S}}
\newcommand{\bT}{{\bf T}}
\newcommand{\bU}{{\bf U}}
\newcommand{\bV}{{\bf V}}
\newcommand{\bW}{{\bf W}}
\newcommand{\bX}{{\bf X}}
\newcommand{\bY}{{\bf Y}}
\newcommand{\bZ}{{\bf Z}}

%caligraphy characters

\newcommand{\ca}{{\mathcal a}}
\newcommand{\cb}{{\mathcal b}}
\newcommand{\cc}{{\mathcal c}}
\newcommand{\cd}{{\mathcal d}}
\newcommand{\ce}{{\mathcal e}}
\newcommand{\cf}{{\mathcal f}}
\newcommand{\cg}{{\mathcal g}}
\newcommand{\ch}{{\mathcal h}}
\newcommand{\ci}{{\mathcal i}}
\newcommand{\cj}{{\mathcal j}}
\newcommand{\ck}{{\mathcal k}}
\newcommand{\cl}{{\mathcal l}}
\newcommand{\cm}{{\mathcal m}}
\newcommand{\cn}{{\mathcal n}}
\newcommand{\co}{{\mathcal o}}
\providecommand{\cp}{{\mathcal p}}
\newcommand{\cq}{{\mathcal q}}
\providecommand{\cr}{{\mathcal r}}
\newcommand{\cs}{{\mathcal s}}
\newcommand{\ct}{{\mathcal t}}
\newcommand{\cu}{{\mathcal u}}
\providecommand{\cv}{{\mathcal v}}
\newcommand{\cw}{{\mathcal w}}
\newcommand{\cx}{{\mathcal x}}
\newcommand{\cy}{{\mathcal y}}
\newcommand{\cz}{{\mathcal z}}
\newcommand{\cA}{{\mathcal A}}
\newcommand{\cB}{{\mathcal B}}
\newcommand{\cC}{{\mathcal C}}
\newcommand{\cD}{{\mathcal D}}
\newcommand{\cE}{{\mathcal E}}
\newcommand{\cF}{{\mathcal F}}
\newcommand{\cG}{{\mathcal G}}
\newcommand{\cH}{{\mathcal H}}
\newcommand{\cI}{{\mathcal I}}
\newcommand{\cJ}{{\mathcal J}}
\newcommand{\cK}{{\mathcal K}}
\newcommand{\cL}{{\mathcal L}}
\newcommand{\cM}{{\mathcal M}}
\newcommand{\cN}{{\mathcal N}}
\newcommand{\cO}{{\mathcal O}}
\newcommand{\cP}{{\mathcal P}}
\newcommand{\cQ}{{\mathcal Q}}
\newcommand{\cR}{{\mathcal R}}
\newcommand{\cS}{{\mathcal S}}
\newcommand{\cT}{{\mathcal T}}
\newcommand{\cU}{{\mathcal U}}
\newcommand{\cV}{{\mathcal V}}
\newcommand{\cW}{{\mathcal W}}
\newcommand{\cX}{{\mathcal X}}
\newcommand{\cY}{{\mathcal Y}}
\newcommand{\cZ}{{\mathcal Z}}



\newcommand{\nhat}{\hat{\bn}}

%subequations
\providecommand{\bml}{\begin{subequations}}
\providecommand{\eml}{\end{subequations}}



%overbar vector notation
\newcommand{\va}{\bar{a}}
\providecommand{\vb}{\bar{b}}
\newcommand{\vc}{\bar{c}}
\newcommand{\vd}{\bar{d}}
\newcommand{\ve}{\bar{e}}
\newcommand{\vf}{\bar{f}}
\newcommand{\vg}{\bar{g}}
\newcommand{\vh}{\bar{h}}
\newcommand{\vi}{\bar{i}}
\newcommand{\vj}{\bar{j}}
\newcommand{\vk}{\bar{k}}
\newcommand{\vl}{\bar{l}}
\newcommand{\vm}{\bar{m}}
\newcommand{\vn}{\bar{n}}
\newcommand{\vo}{\bar{o}}
\newcommand{\vp}{\bar{p}}
\newcommand{\vq}{\bar{q}}
\newcommand{\vr}{\bar{r}}
\newcommand{\vs}{\bar{s}}
\newcommand{\vt}{\bar{t}}
\newcommand{\vu}{\bar{u}}
\newcommand{\vv}{\bar{v}}
\newcommand{\vx}{\bar{x}}
\newcommand{\vy}{\bar{y}}
\newcommand{\vz}{\bar{z}}
\newcommand{\vA}{\bar{A}}
\newcommand{\vB}{\bar{B}}
\newcommand{\vC}{\bar{C}}
\newcommand{\vD}{\bar{D}}
\newcommand{\vE}{\bar{E}}
\newcommand{\vF}{\bar{F}}
\newcommand{\vG}{\bar{G}}
\newcommand{\vH}{\bar{H}}
\newcommand{\vI}{\bar{I}}
\newcommand{\vJ}{\bar{J}}
\newcommand{\vK}{\bar{K}}
\newcommand{\vL}{\bar{L}}
\newcommand{\vM}{\bar{M}}
\newcommand{\vN}{\bar{N}}
\newcommand{\vO}{\bar{O}}
\newcommand{\vP}{\bar{P}}
\newcommand{\vQ}{\bar{Q}}
\newcommand{\vR}{\bar{R}}
\newcommand{\vS}{\bar{S}}
\newcommand{\vT}{\bar{T}}
\newcommand{\vU}{\bar{U}}
\newcommand{\vV}{\bar{V}}
\newcommand{\vW}{\bar{W}}
\newcommand{\vX}{\bar{X}}
\newcommand{\vY}{\bar{Y}}
\newcommand{\vZ}{\bar{Z}}