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12 changes: 8 additions & 4 deletions episodes/16-writing-functions.md
Original file line number Diff line number Diff line change
Expand Up @@ -573,21 +573,25 @@ density. In the model, time takes discrete values 0, 1, 2, ...

## Solution

1. ```python
1.
```python
def logistic_map(x, r):
return r * x * (1 - x)
```

2. ```python
2.
```python
initial_population = 0.5
t_final = 10
r = 1.0
population = [initial_population]

for t in range(t_final):
population.append( logistic_map(population[t], r) )
```

3. ```python
3.
```python
def iterate(initial_population, t_final, r):
population = [initial_population]
for t in range(t_final):
Expand All @@ -598,7 +602,7 @@ density. In the model, time takes discrete values 0, 1, 2, ...
population = iterate(0.5, period, 1)
print(population[-1])
```

```output
0.06945089389714401
0.009395779870614648
Expand Down