理论概率

The PageRank is derived from a theoretical probability value on a logarithmic scale like the Richter Scale .

在PageRank是来自上一像黎克对数标度的理论概率值。

Based on the interval probability and the second fuzzy probability, go a step further the definition and characters of random variables with the third fuzzy probability and the fuzzy distribution function and fuzzy probability distribution sequence were put forward.,the definition and characters of mathematical expectation and variance were studied also.

在区间概率和第二类模糊概率的基础上，进一步给出了具有第三类模糊概率的随机变量及其模糊分布函数和模糊分布列的定义和性质，并研究了模糊概率随机变量的模糊数学期望和模糊方差的定义和性质，进一步完善了模糊概率理论。

The aim of this paper is to answer the query on the foundation of quantum mechanics advanced by Tao Zongying in articles,Acta Mathematica Scientia,1982,2(2):183～192 and Acta Photonica Sinica,1997,26(9):769～770.It is shown,based on the globalism concept in quantum mechanics,that Landau and Lifshitz′s momentum probability distribution function of a particle in a one dimensional infinitely deep square potential well is correct,and that Pauli and other′s distribution function is incorrect.The problem of mome...

本文回答了文献1～2对量子力学提出的疑问基于量子力学的整体性概念指出，Landau和Lifshitz给出的一维无限深方势阱中粒子的动能概率分布函数是正确的，Pauli等人给出的概率分布函数是不正确的从量子测量理论的角度讨论了一维谐振子的动量概率分布问题，并且指出势能大于本征能量的概率不为零并不表示存在负动能的概率分布区域

This paper introduced the appliance of probability and statistics in reality,including classical model,formula of total probability, normal distribute,mathematics expectation and the central limit theorem.While it also discusses the widely uses of probability and statistics and the close relationship with the real life.Therefore,it lays the theoretical foundation for the practical uses with probability and statistics,and the basis of mathematics model.

本文介绍了概率统计的某些知识在实际问题中的应用，主要围绕古典概型，全概率公式，正态分布，数学期望，极限定理等有关知识，探讨概率统计知识在实际生活中的广泛应用，进一步揭示概率统计与实际生活的密切联系，为应用概率知识解决实际问题，数学模型的建立，学科知识的迁移奠定一定的理论基础。

The similar results were also found in their parents, siblings and younger generation. Results Results from binominal distribution analysis showed that the number of cases in the families of NIDDM was significantly bigger than the theoretical range, indicating that there was significant familial aggregationin in the occurance of NIDDM. Simple and multiple logistic regression analysis also showed that genetic factor was one of the most important factors in the development of NIDDM.

结果 病例组一级亲属总的患病率为3.47％，与对照组的1.03％相比，差异有非常显著性（χ2 =17.66，P＜0.01；无论其父母、同胞或子女，均以病例亲属的患病率显著高于对照；Ⅱ型糖尿病家族中实际发病数超过其二项分布的理论概率范围，即Ⅱ型糖尿病的分布呈明显的家族聚集性；单因素和多因素logistic回归模型拟合也提示，家族史仍是Ⅱ型糖尿病的最主要危险因素。

Meanwhile, probability theory made progress and became matured. During 1921-1928 Borel considered dealing with some strategic game problems with probability theory, form which he established several useful conceptions in Game theory, and it was at that time that Game theory was found in the rudiment.

同时随着概率理论的进一步发展和成熟，波莱尔在1921-1928年首先用已有的概率理论考虑了几个策略博弈的例子，并创造出了博弈理论中几个非常有用的概念，同时产生出了现代博弈理论的思想萌芽，在这一时期对博弈论的早期理论有贡献的还有思特豪斯、波莱尔的学生威利和他的同事。

We can find the theoretical probability of an event using the following ratio: P = Number of favorable outcomes / Total number of outcomes.

我们能找到的理论概率事件使用以下比率：对=数量有利结果/总人数的结果。

Breakeven Point and Sensitivity analysis were revised to make the risk evaluation properly and scientifically. The evaluations of the probability analysis of random risks were analyzed in the way of the theoretical probability and Monte Carlo simulation. And the application of gray prediction can make up the lack of data. 5. For the risk assessment of the real estate investment, the fuzzy math and the gray cluster were applied to reduce the influence of the subjective factors in the risk measurement.

对于房地产投资风险的估计则主要是针对随机风险进行概率研究，首先对目前常用的BP分析和敏感性分析进行改良，进一步降低风险估计的确定性成分；其次对随机风险的估计进行了研究，结合案例探讨了理论概率分析和蒙特卡罗模拟方法在分析中的应用；并且将灰色预测应用于风险估计，弥补我国房地产业发展时间短、数据不完整的缺点。

By comparing the age structure characters of the registered population,Kish table population and the respondent population,the author calculated the theoretical probability distribution of Kish table and found the reason of low proportion of the younger age group in the household sample table and the distorted age structure.

在对比登记人口、Kish选样表人口和被调查人口的年龄结构特点的基础上，分析Kish表的理论概率分布，发现了低龄人口入选比例低和Kish选样表中入选人口与被访者年龄结构扭曲的原因。

Based on the modeling theory of the equivalent probability density error model(marked as "Tepdem") and the numerical algorithm,this paper provides an approach on how to ascertain a point location with the highest coordinates precision between both of the adjacent characteristic points on a generic curve accurately by use of the theory of function extremum as well as the iterative algorithm,and it also provides the method on how to obtain the least width of "Tepdem" exactly,from which,the explanation of geom...

基于等概率密度误差模型建模原理和数值算法，运用函数极值理论和迭代方法来求解平面一般曲线上两相邻特征点间位置精度最高的点，以精确确定误差模型的最小带宽，从理论上给出等概率密度误差模型的几何特征，从而进一步完善矢量GIS的位置不确定性理论。通过实例计算与可视化分析，验证了理论推导的正确性。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷