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Titlebook: Elementary Probability Theory with Stochastic Processes; Kai Lai Chung Textbook 19752nd edition Springer Science+Business Media New York 1

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發(fā)表于 2025-3-23 10:03:21 | 只看該作者
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發(fā)表于 2025-3-23 16:53:30 | 只看該作者
The Mirror of Mental Ruin in ,,The mathematical expectation of a random variable, defined in §4.3, is one of the foremost notions in probability theory. It will be seen to play the same role as integration in calculus—and we know “integral calculus” is at least half of all calculus.
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發(fā)表于 2025-3-24 09:06:50 | 只看該作者
Literary Careers in the Modern Eraes some of which may be measurable. An apple has its weight and volume; its juicy content can be scientifically measured, even its taste may be graded by expert tasters. A molecule has mass and velocity, from which we can compute its momentum and kinetic energy by formulas from physics. For a human
17#
發(fā)表于 2025-3-24 13:47:24 | 只看該作者
e introduced it at an earlier stage in the book, and the reader was alerted to this in §4.4. However, the belated entrance will give it more prominence, as well as a more thorough discussion than would be possible without the benefit of the last two chapters.
18#
發(fā)表于 2025-3-24 18:03:55 | 只看該作者
https://doi.org/10.1057/9781137413130bilities . and . = 1 ? p respectively where 0 < . < 1. For verbal convenience we suppose that each step is taken in a unit of time so that the nth step is made instantaneously at time .; furthermore we suppose that the possible positions of the particle are the set of all integers on the coordinate
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