%This file contains all of my definitions for
%the midterm.
%It removes theorem environments from the style file for Stochastic Calculus and Financial Applications (2nd Ed)




%Probability Commands
\newcommand{\conp}{\stackrel{p}{\rightarrow}}
\newcommand{\longconp}{\stackrel{p}{\longrightarrow}}
\newcommand{\cond}{\stackrel{d}{\rightarrow}}
\newcommand{\equalindist}{\stackrel{\rm d}{=}}
\newcommand{\given}{{\, \mid \, }}
\newcommand{\Ito}{It\^o }
\newcommand{\Itos}{It\^o's }

%Caligrpahic Shorthand
\newcommand{\scriptA}{{\mathcal A}}%\AA is angstrom
\newcommand{\BB}{{\mathcal B}}
\newcommand{\CC}{{\mathcal C}}
\newcommand{\DD}{{\mathcal D}}
\newcommand{\EE}{{\mathcal E}}
\newcommand{\FF}{{\mathcal F}}
\newcommand{\GG}{{\mathcal G}}
\newcommand{\HH}{{\mathcal H}}
\newcommand{\II}{{\mathcal I}}
\newcommand{\LL}{{\mathcal L}_{\rm LOC}}
\newcommand{\MM}{{\mathcal M}}
\newcommand{\NN}{{\mathcal N}}
\newcommand{\scriptS}{{\mathcal S}}%\SS is dingbat
\newcommand{\TT}{{\mathcal T}}

%Black Board Bold; Other Bold
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\Q}{\mathbb{Q}}
\newcommand{\N}{\mathbb{N}}
\newcommand{\C}{\mathbb{C}}
\newcommand{\bbeta}{{\boldmath{\beta}}} %bold beta

%Indicator
%My old definition
\newcommand{\ind}{\mathbb{I}}
%\newcommand{\ind}{1\hspace{-2.8mm}{1}}

%Here, NUMBER of mm should be contained in the interval [3.0, 3.2] if the
%symbol should appear on a slide.
% NUMBER = 2.5 (resp. NUMBER = 2.3) if the symbol should appear on a
% standard LaTeX 2e (resp. AMS-TeX) document.



%Designs for Headings
\newcommand{\bfblock}[1]{\medskip\noindent \bf #1 \rm \medskip}
\newcommand{\scblock}[1]{\medskip\noindent \sc #1 \rm \medskip}
\newcommand{\soln}[1]{\medskip \noindent {\sc Solution for Problem} #1.}

%Vector Notation Override
%\renewcommand{\vec}[1]{\overrightarrow{#1}}

%Fussing with Line and Page Controll
\newcommand{\mynewline}{\hfill\newline}


%Arithmetic and Calculus Shorthand
\newcommand{\double}{{L^2(dP \times dt)}}
\newcommand{\single}{{L^2(dP)}}
\newcommand{\px}[1]{\frac{\partial #1}{\partial x}}
\newcommand{\pxx}[1]{\frac{\partial^2 #1}{\partial x^2}}
\newcommand{\pt}[1]{\frac{\partial #1}{\partial t}}
\newcommand{\qv}[1]{{\langle}{#1}{\rangle}}
\newcommand{\dt}{{\, dt}}
\newcommand{\dbt}{{\, dB_t}}
\newcommand{\mesh}{\text{mesh}}
\newcommand{\half}{{\frac{1}{2}}}
\newcommand{\equalbydef}{\stackrel{\rm def}{=}}

%Math Operators
\DeclareMathOperator \Var {Var}
\DeclareMathOperator \Cov {Cov}


%These are orphans but they are used in a few dozen places
\newcommand{\pfend}{$\Box$ \\  \vspace{0.0in} }
\newcommand{\fa}{\quad \text{for all }}