组合概率论

As in Volume 2, where I found to my delight that the basic principles of elementary probability theory and number theory arose naturally in the study of algorithms for random number generation and arithmetic, I learned while preparing Section 7.2.1 that the basic principles of elementary combinatorics arise naturally and in a highly motivated way when we study algorithms for combinatorial generation.

如同在第二卷中那样，在那里我高兴地发现，初等概率论和数论的基本原理很自然地出现在关于随机数生成和算术的算法的研究中。而当我准备编写7.2.1小节时，我注意到，当我们研究组合生成的算法时，初等组合学的基本原理自然地并以高度带激励的方式出现。

Other semirings arise naturally in such diverse areas of mathematics as combinatorics, functional analysis, topology, graph theory, Euclidean geometry, probability theory, commutative and noncommutative ring theory, optimization theory, discrete event dynamical systems, automata theory, formal language theory and the mathematical modeling of quantum physics and parallel computation systems.

在许多不同的数学领域存在着其它形式的半环，比如组合学，泛函分析，拓扑学，图论，欧式几何，概率论，交换和非交换环，优化论，离散动力系统，自动化理论，形式语言理论，量子物理的数据模型和并行计算系统。

Modify the interpretation by discarding this assumption and justify Dempster's rule of combination.

由于在随机译码器解释下证据理论的基本概念是由概率函数来表达的，从而迫使该理论必须遵从概率论的规范；据此，本文放弃这个解释的一个在概率论中没有承诺的预设而对它进行修正，并为Dempster组合规则辩护。

In this paper, we study the correlation properties with the theory of probability and spectrum for non-linear combiners with memory.

本文主要利用概率论和频谱理论的方法对带记忆的非线性组合生成器的相关性进行了研究。

The demand with every investor diverse basis is declinable to prospective value the different risk that anticipate and differs bears force, usable to this probability theory and financial price are academic, the futures price with current foundation, all sorts of differring the period authority price that knocks a price, and the risk of investor bears force and walk along the estimation of situation to the price, find out best investment combination.

每个投资者根据不同的需求对未来价格变化有不同的预期和不同的风险承受力，对此可用概率论和金融定价理论，根据目前的期货价格、各种不同敲定价的期权价格，以及投资人的风险承受力和对价格走势的估计，找出最优投资组合。

For about 20 years,lots of boffins have do their best in the field,the system reliability theory has made a prominently progress,and produced many theories and methods one after another.

主要以概率论、随机过程论、决策论、博弈论、组合数学和近代数理统计方法为基础，通过有限元、边界元法和随机网络分析技术为计算手段，二十多年来，经过大量科研工作者的辛勤努力，使得系统可靠性理论取得了令人瞩目的成绩，相继提出了多种理论方法。

The papers are organized in topical sections on probabilistic models, cryptology, pseudo random sequences, quantum models, statistics, probability theory, information measures, error concepts, performance criteria, search, sorting, ordering, planning, language evolution, pattern discovery, reconstructions, network coding, combinatorial models, and a problem section.

文件在概率的模型上被在与目前有关的部分里组织，密码学，假的随机序列，量模型，统计，概率论，信息测度，错误概念，性能准则，搜寻，分类，预订，计划，编码的语言演化，图案发现，重建，网络，组合的模型和一个问题部分。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失