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When a dynamical system is formalized using discrete time (when time is an element of the integers \( \htmlId{tooltip-setOfIntegers}{\mathbb{Z}} \)), the system's update operator is applied iteratively to get the state at the next time points.
| \(T\) | This is the symbol for a dynamical system's update operator. |
| \(\mathbf{x}\) | This symbol represents a state of the dynamical system at some time point. |
| \(n\) | This symbol represents any given whole number, \( n \in \htmlId{tooltip-setOfWholeNumbers}{\mathbb{W}}\). |
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