👉 In mathematics, an update is a method of calculating the value of a function based on its output at a certain point in time. This process can be used to solve problems that involve time series data. A "updater" is a function that takes one input and returns another input that represents the current state of the system.
For example, consider the following update rule for a simple first-order dynamic system:
```
y[n+1] = y[n] + 0.5
(x