Equation_sheet_1.tex

\documentclass[12pt]{article}
\usepackage{nicefrac}
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\newcommand{\E}{\mathbb{E}}
\renewcommand{\P}{\mathbb{P}}
\newcommand{\half}{\tfrac{1}{2}}

\newcommand{\wbar}{\overline{w}}
% New commands added by Simon:
\newcommand{\fis}{F_{\mathrm{IS}}}
\newcommand{\fit}{F_{\mathrm{IT}}}
\newcommand{\fst}{F_{\mathrm{ST}}}
\newcommand{\Wbar}{\overline{W}}

\newenvironment{question}[1][]{\refstepcounter{question}\par\medskip
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\begin{document}
\title{EVE102 Equation Sheet for Midterm 1}
%\author{Graham Coop}
\date{}
\maketitle

\begin{center}
\begin{tabular}{ccc}
$(1-F) p^2 + F p$, & $(1-F) 2pq$, & $(1-F) q^2 + F q$ \nonumber
\end{tabular}
\end{center}

\begin{equation}
D_{AB} = p_{AB} - p_Ap_B \nonumber
\end{equation}

\begin{equation}
  H_t = \left(1-\frac{1}{2N_e} \right)^tH_0 \approx H_0 e^{-\nicefrac{t}{2N_e}} \nonumber
\end{equation}

\begin{equation}
  D_t=  (1-r)^t D_0 \approx D_0 e^{-rt} \nonumber
\end{equation}

\begin{equation}
  H = \frac{4N_e\mu}{1+4N_e\mu} \approx 4N_e\mu  \nonumber
\end{equation}

\begin{equation}
  F_{ij}= 0 \times r_0 + (\nicefrac{1}{4}) r_1  + (\nicefrac{1}{2}) r_2.  \nonumber
\label{eqn:coeffkinship}
\end{equation}

\begin{equation}
(1-\fit) =\frac{H_I}{H_S} \frac{H_S}{H_T}=(1-\fis)(1-\fst).\nonumber
\label{eqn:F_relationships}
\end{equation}

\begin{equation}
\fit =1-\frac{H_I}{H_T}.\nonumber
%\label{eqn:F_relationships}
\end{equation}

\begin{equation}
\fis =1-\frac{H_I}{H_S}.\nonumber
%\label{eqn:F_relationships}
\end{equation}

\begin{equation}
\fst =1-\frac{H_S}{H_T}.\nonumber
%\label{eqn:F_relationships}
\end{equation}

\end{document}