Markov sequence

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• Markov chain — A simple two state Markov chain. A Markov chain, named for Andrey Markov, is a mathematical system that undergoes transitions from one state to another, between a finite or countable number of possible states. It is a random process characterized …   Wikipedia

• Markov model — In probability theory, a Markov model is a stochastic model that assumes the Markov property. Generally, this assumption enables reasoning and computation with the model that would otherwise be intractable. Contents 1 Introduction 2 Markov chain… …   Wikipedia

• Sequence alignment — In bioinformatics, a sequence alignment is a way of arranging the sequences of DNA, RNA, or protein to identify regions of similarity that may be a consequence of functional, structural, or evolutionary relationships between the sequences.[1]… …   Wikipedia

• Markov partition — A Markov partition is a tool used in dynamical systems theory, allowing the methods of symbolic dynamics to be applied to the study of hyperbolic systems. By using a Markov partition, the system can be made to resemble a discrete time Markov… …   Wikipedia

• Markov number — The first levels of the Markov number tree A Markov number or Markoff number is a positive integer x, y or z that is part of a solution to the Markov Diophantine equation studied by Andrey Markoff (1879 …   Wikipedia

• Markov spectrum — In mathematics, the Markov spectrum devised by Andrey Markov is a complicated set of real numbers arising in the theory of certain quadratic forms, and containing all the real numbers larger than Freiman s constant.[1] Contents 1 Context 2 See… …   Wikipedia

• Markov , Andrey Andreyevich — (1856–1922) Russian mathematician Born at Ryazan in Russia, Markov studied at the University of St. Petersburg and later held a variety of teaching posts at the same university, eventually becoming a professor in 1893. He was an extremely… …   Scientists

• Markov property — In probability theory and statistics, the term Markov property refers to the memoryless property of a stochastic process. It was named after the Russian mathematician Andrey Markov.[1] A stochastic process has the Markov property if the… …   Wikipedia

• Sequence motif — In genetics, a sequence motif is a nucleotide or amino acid sequence pattern that is widespread and has, or is conjectured to have, a biological significance. For proteins, a sequence motif is distinguished from a structural motif, a motif formed …   Wikipedia

• Markov process — Statistics. a process in which future values of a random variable are statistically determined by present events and dependent only on the event immediately preceding. Also, Markoff process. [1935 40; after Russian mathematician Andrei Andreevich …   Universalium

• Markov information source — In mathematics, a Markov information source, or simply, a Markov source, is an information source whose underlying dynamics are given by a stationary finite Markov chain. Contents 1 Formal definition 2 Applications 3 See also …   Wikipedia