Share The Formula You Found

+Label +Description

Recently Referred Formulae

aam-media=wp-config.php
\begin{pmatrix}
P_A(i) \\
P_B(i) \\
P_C(i) \\
P_D(i) \\
P_E(i) \\
\end{pmatrix}
=
\begin{pmatrix}\frac{3}{8} & \frac{3}{8} & 1 & \frac{1}{2} & 1\\\frac{3}{8} & 0 & 0 & \frac{1}{2} & 0\\0 & \frac{3}{8} & 0 & 0 & 0\\\frac{1}{4} & 0 & 0 & 0 & 0\\0 & \frac{1}{4} & 0 & 0 & 0\end{pmatrix}^i
\begin{pmatrix}
P_A(0) \\
P_B(0) \\
P_C(0) \\
P_D(0) \\
P_E(0) \\
\end{pmatrix}
\begin{pmatrix}
P_A(i+1) \\
P_B(i+1) \\
P_C(i+1) \\
P_D(i+1) \\
P_E(i+1) \\
\end{pmatrix}
=
\begin{pmatrix}\frac{3}{8} & \frac{3}{8} & 1 & \frac{1}{2} & 1\\\frac{3}{8} & 0 & 0 & \frac{1}{2} & 0\\0 & \frac{3}{8} & 0 & 0 & 0\\\frac{1}{4} & 0 & 0 & 0 & 0\\0 & \frac{1}{4} & 0 & 0 & 0\end{pmatrix}
\begin{pmatrix}
P_A(i) \\
P_B(i) \\
P_C(i) \\
P_D(i) \\
P_E(i) \\
\end{pmatrix}
\begin{pmatrix}
P_A(i) \\
P_B(i) \\
\end{pmatrix}
=
\begin{pmatrix}\frac{4}{5} - \frac{4 \left(- \frac{1}{4}\right)^{i}}{5}\\\frac{4 \left(- \frac{1}{4}\right)^{i}}{5} + \frac{1}{5}\end{pmatrix}
\begin{pmatrix}
P_A(i) \\
P_B(i) \\
\end{pmatrix}
=
\begin{pmatrix}\frac{\left(- \frac{1}{4}\right)^{i}}{5} + \frac{4}{5}\\\frac{1}{5} - \frac{\left(- \frac{1}{4}\right)^{i}}{5}\end{pmatrix}