After analyzing several theory models of inductive reasoning, we use the Bayes Theorem to prove the premise probability principle, and integrate this theory with human mental process.
在分析多个理论模型的基础上，采用贝叶斯定理证明了前提概率原则，并将此原则与人类心理过程相结合，将归纳推理分解为连续进行的三步过程。
The other is the Indifference Principle of Trial Setup, with which the Theorem of Opinions' Convergence in the subjective probability theory is justified.
二是“试验机制无差别原则”，用以为主观主义概率归纳逻辑的意见收敛定理进行辩护。
The stability problems of steel structure are studied using the method of probability analysis and stability lower bound theorem from three respects.
本文以概率分析及安定下限定理的分析方法，从三个方面对钢结构的安定问题进行了研究。
By use of large deviation theorem, this paper researches deeply to how to estimate such probability.
本文利用大偏差定理对此概率如何进行估计进行深入研究。
The almost sure central limit theorem and self-normalized limit theory have become two important fields of the study of probability limit theory in recent decades.
而对几乎处处极限定理和自赋范极限理论的研究则是近几十年来概率极限理论研究中的两个重要方向。
Probability of following after them, its central research topics are focused on promoting and improving the Bernoulli law of large Numbers and central limit theorem.
概率论继他们之后，其中心研究课题则集中在推广和改进伯努利大数定律及中心极限定理。
Differential equation and probability limit theorem have been widely used in the mathematical model of biological population growth.
以往关于生物种群增长的数学模型多是用微分方程和概率极限定理的方法来推导的。
While this sounds perhaps like a little too much freedom, this view comes with a rule for updating probability in light of new observations, known as Bayes theorem.
这听上去或许有点太过自由，这种观点是与一条规则一起产生的，根据新的观察更新概率，即我们所知道的贝叶斯定理。
According to the theorem of integral mean value it is proved in this paper that by means of probability integral the subsidence equivalent curve is a circle or a ellipse.
文中还根据积分中值定理证明了应用概率积分法求得的下沉等值线是椭圆形或圆形。
The solution of Hume's problem by the subjective or personalistic theory of probability induction relies heavily on Dutch Book theorem, which is divided into two parts, static and dynamic.
当代概率归纳逻辑的一个重要学派即主观主义或私人主义对待休谟问亦即归纳合理性问题的态度，密切地依赖于他们提出的大弃赌定理。
The solution of Hume's problem by the subjective or personalistic theory of probability induction relies heavily on Dutch Book theorem, which is divided into two parts, static and dynamic.
当代概率归纳逻辑的一个重要学派即主观主义或私人主义对待休谟问亦即归纳合理性问题的态度，密切地依赖于他们提出的大弃赌定理。
应用推荐