Thursday, February 21, 2013

Linearization and commercial arithmetic

The scale here is critical After all short enough linear intervals in all relevant dimensions Oughta capture the decisions of agents using arithmetic to calculate their actions And reactions
x_n :

  x_{n+1}=f_\mu(x_n)=\begin{cases}
    \mu x_n     & \mathrm{for}~~ x_n < \frac{1}{2} \\ \\
    \mu (1-x_n) & \mathrm{for}~~ \frac{1}{2} \le x_n 
    \end{cases}