Andrei Markov

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Definition
  1. Proper noun:
    • A Russian mathematician: Andrei Markov refers to a specific historical figure, a Russian mathematician who lived from 1856 to 1922. He is primarily known for his foundational work in probability theory and stochastic processes.
Examples of Usage
  • Proper noun:
    • The theory of Markov chains is named after the mathematician Andrei Markov.
    • Andrei Markov made significant contributions to the study of probability.
Advanced Usage
  • "Markovian": (adjective) relating to or having the properties of a Markov process, especially the property that the future state depends only on the present state and not on the sequence of events that preceded it.
    • The system's behavior is assumed to be Markovian for the model to be valid.
Variants and Related Words
  • Markov chain (noun): a stochastic model describing a sequence of possible events where the probability of each event depends only on the state attained in the previous event.
    • They used a Markov chain to model the weather patterns.
  • Markov process (noun): a random process whose future probabilities are determined by its most recent values.
    • The analysis required understanding of the underlying Markov process.
Synonyms
  • Andrey Markov: An alternative transliteration of the same name.
  • A. A. Markov: A common abbreviated reference in academic contexts.
Related Phrases
  • Markov property (noun phrase): the memoryless property of a stochastic process.
    • The model's simplicity relies on the Markov property.
  • Markov decision process (noun phrase): a mathematical framework for modeling decision making in situations where outcomes are partly random and partly under the control of a decision maker.
    • Reinforcement learning algorithms often utilize Markov decision processes.
Noun
  1. Russian mathematician (1856-1922)

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