Presbycusis 发表于 2025-3-23 13:05:30
http://reply.papertrans.cn/39/3803/380232/380232_11.png有罪 发表于 2025-3-23 15:32:06
Surfaces with Riemannian Metric,The best we can do is to set up a list of axioms, say wishes, that makes . look like a directional derivative. An optimal list of wishes would be such that one can fulfill these wishes but only in a unique way.BET 发表于 2025-3-23 18:47:03
General Definition of Independent Random Variables and Laws of Large Numbers,The definition of independent real-valued random variables was given in Lecture 4. We now extend this definition to the case of more general random variables.先兆 发表于 2025-3-23 22:45:40
http://reply.papertrans.cn/39/3803/380232/380232_14.png维持 发表于 2025-3-24 04:51:58
Riemann Surfaces,A . is a differentiable manifold with charts in . and holomorphic transition maps. In short, we can say that a Riemann surface is a surface with a .-structure.dominant 发表于 2025-3-24 07:57:26
Conditional Probabilities and Expectations,Let (., ., .) be a probability space, . ∈ . and .(.) > 0. The conditional distribution on the set . is a probability distribution defined on the .—algebra . by ..Inclement 发表于 2025-3-24 13:38:06
http://reply.papertrans.cn/39/3803/380232/380232_17.pngBlazon 发表于 2025-3-24 18:08:00
Branching Processes,Here we consider another example of Markov chains, which arises in the analysis of so-called multiple decay processes for elementary particles. The theory of such processes was introduced in articles by the Soviet mathematicians A. N. Kolmogorov and B. A. Sevast’yanov.Endoscope 发表于 2025-3-24 22:09:09
Markov Chains,The theory of Markov chains makes use of the theory of so-called stochastic matrices. We therefore begin with a small digression of a purely algebraic nature.碎石 发表于 2025-3-25 01:02:35
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