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发表于 2025-3-25 07:03:07
Markov Processes,Markov processes constitute a fundamental class of stochastic processes, characterized by a memoryless property which renders them highly tractable and beneficial in practical applications.
Classify
发表于 2025-3-25 08:10:10
Functions on Riemann Surfaces,Let . be a compact connected Riemann surface. We have seen that holomorphicfunctions on . are constant functions.
outskirts
发表于 2025-3-25 13:43:07
Stochastic Processes,Random variables describe the . of a random phenomenon: for example, an unobservable position of a particle in a physics model or the price at a future date of a stock in a financial model.
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发表于 2025-3-25 16:57:06
Conditional Expectation, Conditional Independence, Introduction to Martingales,From a theoretical vantage point, conditioning is a useful means of exploiting auxiliary information. From a practical vantage point, conditional probabilities reflect the change in unconditional probabilities due to additional knowledge.
Ophthalmoscope
发表于 2025-3-25 21:26:35
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bromide
发表于 2025-3-26 01:00:42
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废止
发表于 2025-3-26 06:28:17
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狂怒
发表于 2025-3-26 10:06:31
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Fulminate
发表于 2025-3-26 13:01:20
Probabilities of Large Deviations,At the beginning of this course on probability theory we considered the probabilities . with .. = .. for a sequence of independent random variables .., ..,..., and we estimated those probabilities by Chebyshev’s inequality:
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发表于 2025-3-26 17:29:26
Outline: Uniformization by Spectral Determinant,In the next chapter we give an alternative proof of the above corollary, i.e. of the Uniformization Theorem. Our proof is largely inspired by the work and .