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Recently Referred Formulae

\begin{pmatrix}
P_A(i) \\
P_B(i) \\
\end{pmatrix}
=
\begin{pmatrix}
1/2 & 1 \\
1/2 & 0 \\
\end{pmatrix}
^i
\begin{pmatrix}
P_A(0) \\
P_B(0) \\
\end{pmatrix}
\begin{pmatrix}
P_A(i+1) \\
P_B(i+1) \\
\end{pmatrix}
=
\begin{pmatrix}
1/2 & 1 \\
1/2 & 0 \\
\end{pmatrix}
\begin{pmatrix}
P_A(i) \\
P_B(i) \\
\end{pmatrix}
\scriptstyle \lim_{x \to \alpha -0} f(x) = \lim_{x \to \alpha +0} f(x) = f(\alpha)
\scriptstyle r^n
{\rm d}r(t) = a(b-r(t)){\rm d}t   \sigma {\rm d}W_t