ergodic theorem sentence in Hindi
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- The ergodic theorem has also had repercussions for dynamics.
- The multiplicative ergodic theorem is stated in terms of matrix cocycles of a dynamical system.
- Kingman's subadditive ergodic theorem can be used to prove statements about Lyapunov exponents.
- In the 1930s, independently of John von Neumann, he discovered the mean ergodic theorem.
- A conceptually different proof of the multiplicative ergodic theorem was found by M . S . Raghunathan.
- This shows the possibility of serious errors when using the ergodic theorem for the study of physical systems.
- Birkhoff's most durable result has been his 1931 discovery of what is now called the ergodic theorem.
- The ergodic theorem has also had repercussions for dynamics, probability theory, group theory, and functional analysis.
- Overisel is the birthplace of mathematician George David Birkhoff, best known for what is now called the ergodic theorem.
- Quantum ergodic theorem originated by John von Neumann is a strong result arising from the mere mathematical structure of quantum mechanics.
- By the ergodic theorem, the stationary distribution is approximated by the empirical measures of the random states of the MCMC sampler.
- He also made many contributions to other areas including ergodic theory and he gave an elementary proof of the mean ergodic theorem.
- She published her thesis " Invariant measure and the ergodic theorems " in 1947 and received her Ph . D in 1948.
- Then the ergodic theorem is applied to transform the multi-dimensional integral to a one-dimensional integral in evaluation of the Fourier coefficients.
- DNA is used by researchers as a molecular tool to explore physical laws and theories, such as the ergodic theorem and the theory of elasticity.
- Then the pointwise ergodic theorems says that the average velocity of all particles at some given time is equal to the average velocity of one particle over time.
- Their first meeting, where they discussed Wiener's proof of the ergodic theorem, went so well that Pitts moved to Boston to work with Wiener.
- In 1927, he published his " Dynamical Systems " Birkhoff's most durable result has been his 1931 discovery of what is now called the ergodic theorem.
- It is a special case of the ergodic theorem where one takes the normalized angle measure \ mu = \ frac { d \ theta } { 2 \ pi }.
- The ergodic theorem then asserts that the average behavior of a function ? over sufficiently large time-scales is approximated by the orthogonal component of ? which is time-invariant.
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