A state is transient when its probability of ever returning is less than one.
The term "transient state" can refer to different concepts depending on the context. Here are a few common interpretations: 1. **In Systems Theory**: In the context of systems analysis and control theory, a transient state refers to the period during which a system responds to a change before reaching a steady state or equilibrium. During this phase, the system's behavior may be unstable or oscillatory as it adjusts to new conditions.
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