Function iteration

Function iteration involves repeatedly applying a function to its own output. Starting with an initial value, you use the function to generate a new value, then apply the same function to that new value, and continue this process. Essentially, you're "looping" the function over and over, each time updating the input with the previous result. This technique helps analyze patterns, stability, or behavior of a system over time, such as predicting population growth or exploring fractal shapes. It's a straightforward way to see how changes evolve step by step when fed back into the same rule or process.