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Mark series

A Markov series is a type of mathematical model used to describe systems where the future state depends only on the current state, not on the sequence of past events. Think of it as a process with memoryless steps: knowing where you are now is enough to predict where you'll go next, regardless of how you arrived there. These models are useful in areas like finance, speech recognition, and weather forecasting, where the next outcome depends primarily on the present condition. The key property is the Markov property, which simplifies analysis because future states are conditionally independent of past states beyond the current one.