概率论的基本原理之一叫做乘法法则。
One of the first principles of probability theory is called the multiplication rule.
概率论第一个基本原理中的一条是事件的独立性。
One of the first principles of probability is the idea of independence.
结构的常规可靠性分析是基于概率论的。
Conventionally, probability theory has been used in structural reliability analysis.
这是概率论教材，希望对大家有很大的参考价值！
This is the teaching of probability theory, I hope all of you have great reference value!
哲学因果描述不仅有决定论描述，还有概率论描述。
Philosophical cause relation contains not only determinism, but also probability.
信息理论作为应用概率论的一个分支，应用日益重要。
Information theory, as a branch of applied probability theory, becomes more and more important in appling.
如果继续往下看，在概率论里有一个基本的概念，叫做二项分布。
If you follow through from the independent theory, there's one of the basic relations in probability theory — it's called the binomial distribution.
它讨论了新的成效，随着概率论的应用各种各样的问题。
It discusses new results, along with applications of probability theory to a variety of problems.
本文还从概率论的角度给出了精确的判决门限确定公式。
The formulation of judging threshold is given from the point of probability theory.
本课程的重点是数据分析以及概率论和统计学的理论基础。
This course focuses on analysis of data and the theoretical underpinnings of probability and statistics.
这个领域的课程包括概率论，统计线性模型，和随机过程。
Courses in this field include probability theory, linear statistical models, and stochastic processes.
随机变量的分布函数及其反函数在概率论中占有重要地位。
Random variable distribution functions and their inverse functions take an important role in probability theory.
有那勒,他遇到的这个人,叫睿都巴若那,这就到了讲概率论的时候了
we have Nala and he meets this man, Rituparna, and this is where a probability theory apparently comes in.
这些自以为有学问的人同他们的概率论模型现已吃上了官司。
These eggheads are now in the dock, along with their probabilistic models.
本文列举了利用概率论的思想方法证明不等式的六种基本方法。
This article enumerates six fundamental methods of using the method of thinking of probability to prove the inequality.
条件概率系列公式是“概率论与数理统计”课程的重要知识点。
The series formulas of conditional probability are important points in the Probability and Mathematical Statistics course.
随机分形是融概率论、经典分析和几何学于一体的新兴数学分支。
Random fractal, which involves probability, classical analysis and geometry, is a new mathematics branch.
本文从概率论出发讨论了单光子计数技术中多光电子的损失及其修正。
Multiphotoelectron loss and its correction in single photon technique are discussed on the basis of probability theory.
某些人觉得这很惊奇并且值得一提，而无神论者则认为这不过是概率论的结果而已。
To some they are amazing and worthy of note, to the skeptics, it is just the law of probability.
我认为概率论的发明促使了保险业的诞生，这是我为什么认为理论对于金融非常重要。
I think it was the invention of probability theory that really started it and that's why I think theory is very important in finance.
不管怎样，在故事结尾，那勒回去了，我们知道他已经掌握了概率论的知识？
Anyway, the story ends and Nala goes back and is now armed with probability theory, we assume.
给出了概率论中所用到的随机变量列的四种收敛性，证明了它们之间的关系。
The paper gives four kinds of convergence of sequence of random variables in probability theory, proves the relations between them.
此领域与数据挖掘密切相关，并且经常需要使用各种技巧，包括统计学、概率论和模式识别等。
The field is closely related to data mining and often USES techniques from statistics, probability theory, pattern recognition, and a host of other areas.
保险机构的出现，我认为这是金融业中，最早的分支之一，大约在17世纪，概率论刚刚诞生。
The institution of insurance is something that really came in — it's one of the earliest — I consider it a division of finance — really came in the 1600s when probability theory was invented.
哈金相信历史上有很多赌博理论家，曾多次构想了概率论，但从来没有记录下来，并且恐为人知。
Hacking believes that there were many gambling theorists who invented probability theory at various times in history but never wrote it down and kept it as a secret.
我不准备拓展这一部分，毕竟这节课不是概率论，但我希望你们能记住这个公式，并且学会应用。
I'm not going to expand on this because I can't get into — this is not a course in probability theory but I'm hopeful that you can see the formula and you can apply it.
世界既不是随机的也不是模糊的，但有时可以应用概率论，有时可以应用可信性理论。
The world is neither random nor fuzzy, but sometimes it can be analyzed by probability theory, and sometimes by credibility theory.
在那之前，概率的数学理论，是不存在的，而随着概率论的出现，保险业也突然出现了。
The mathematical theory of probability was unknown until that time and you can see that insurance suddenly made an appearance at that time.
概率极限理论是概率论的主要分支之一，也是概率论的其他分支和数理统计的重要基础。
Limit theory is one of the key branches of Probability theory, and also the important foundation of other branches.
概率极限理论是概率论的主要分支之一，也是概率论的其他分支和数理统计的重要基础。
Limit theory is one of the key branches of Probability theory, and also the important foundation of other branches.
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