Motivating Questions
- What is a discrete-time dynamical system, and how can we represent one using functions?
- How can we make predictions about a discrete-time dynamical system?
\(t\) | \(h_t\) | \(h_{t+1}\) |
---|---|---|
\(0\) | \(2\) | \(3.5\) |
\(1\) | \(3.5\) | \(5\) |
\(2\) | \(5\) | \(6.5\) |
\(3\) | \(6.5\) | \(8\) |
\(t\) | \(p_t\) | \(p_{t+1}\) | \(10 \cdot 0.5^t\) |
---|---|---|---|
\(0\) | \(10\) | \(6\) | \(10\) |
\(1\) | \(6\) | \(4\) | \(5\) |
\(2\) | \(4\) | \(3\) | \(2.5\) |
\(3\) | \(3\) | \(2.5\) | \(1.25\) |
\(4\) | \(2.5\) | \(2.25\) | \(0.625\) |
\(5\) | \(2.25\) | \(2.125\) | \(0.3125\) |