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probability theory     
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  概率论
     From Proving lim e~(-n)(sum(n~k/k!=1/2)from λ=0 ton)from n→∞ by method of probability theory, we obtain a lot of intersting equalities and inequlities, that may be used for exercises.
     从用概率论的方法证明lim e~(-n)(sum(n~k/k!=1/2)from λ=0 ton)from n→∞,我们得到许多有趣的等式和不等式,它们可作为练习题之用。
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     An algorithm mining positive and negative association rules is presented based on the probability theory and the Piatetsky-Shapiro's argument and a model of mining association rules is constructed to measure the uncertainty of association rules, which is proved to be e
     第四章基于概率论以及Piatetsky-Shapiro的观点给出了一个能同时挖掘正关联规则和负关联规则的算法,且构建了一个关联规则挖掘模型以度量关联规则的不确定性,同时阐明了该模型是度量关联规则不确定性的有效方法。
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     On the Teaching of Probability Theory and Mathematical Statistics
     浅谈概率论与数理统计的教学
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     Application of thought on the probability theory and mathematical statistics
     概率论与数理统计思想的应用
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     Talk about Excel Application in Teaching of Probability Theory and Mathematical Statistics from Random Simulation of Large Numbers Law
     从大数定律随机模拟谈Excel在概率论与数理统计教学中的应用
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  概率理论
     Probability Theory of Conditional Inference
     有关条件推理认知机制的概率理论
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     Here, a formula determining the sampling test plan of electronic products, i. e. N_τ= (0.69 + M)/λ_0, is presented by graphing, based on probability theory.
     文章根据概率理论,通过图解方法找出了决定电子产品抽检方案的公式,即Nτ=(0.69+M)/λ_0.
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     The Calculation of RV Reducer's Transmission Error based on Probability Theory
     基于概率理论的RV减速器的传动误差计算
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     With the help of the fuzzy probability theory it expresses the design objective of product quality, the principle and modeling method of fuzzy robust design for product quality.
     用模糊数描述产品质量的设计目标 ,以表达设计质量指标的品质等级信息。 用模糊概率理论分析了模糊目标的稳健设计准则 ,提出了产品质量的模糊稳健设计原理及建模方法。
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     Evaluation model of college entrance examination which based on statistics and probability theory offers a kind of effective analytical method.
     基于统计分析和概率理论而建立的高校招生考试成绩评价模型,为高校招生考试成绩评价提供了一种理论分析方法。
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  概率方法
     Application of some methods in probability theory to other mathematical problems
     一些概率方法在非概率数学问题中的应用
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     Based on analysis of four uncertainty calculi including probability theory, Dempster-Shafer theory, fuzzy set theory, and MYCIN/EMYCIN calculi, this paper pays attention to computation complexities, and presents the combinations of four numeric approaches and nonnumeric approaches.
     本文从专家系统中不精确计算方法(包括概率方法,D-S证据理论,可能性理论和MYCIN/E MYCIN等数值方法)着手,通过对它们的信息和时间复杂度以及各自优缺点的比较,提出了数值方法之间的结合及其与非数值方法(如缺省逻辑,非单调逻辑等)结合的途径。
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     Though traditional methods in non-deterministic planning are based on probability theory, we believe our method is better because possibility theory is more powerful in handling ignorance.
     同时由于可能性方法在描述无知方面相对于概率方法更为优秀,我们认为可能性智能规划相对于概率智能规划在描述动作的不确定性上有着更大的优势。
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     The Application of the Probability Theory In the Other Questions
     概率方法在其它问题中的应用
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     The two formulas given in the 《Design Code for Water Supply and Drainage in Buildings》(GBJ 15-88)are not applicable for drinking water system in the calculation of the design flow in portable water pipelines. The author proposes to use probability theory in the calculation of the design flow in portable water pipelines in residential buildings,etc.
     在直饮水管道秒流量的计算中 ,《建筑给水排水设计规范》(GBJ15 -88)给出的2个生活秒流量计算公式并不适合于直饮水系统 ,作者提出概率方法来计算住宅类直饮水管道秒流量。
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  概率统计理论
     The character of system error and conclusion are made by analysising experimental data based on probability theory.
     然后对实验数据,应用概率统计理论对测量数据进行了较全面的分析,提出了减少测量误差的措施。
短句来源
     Thirdly, considering the design parameters of composite beams as random variables, the probability nature of rigidity reduced factor is analyzed using probability theory and Monte-Carlo method, thus, the probability distribution function and characteristic number of rigidity reduced factor is calculated.
     再次根据概率统计理论并结合Monte-Carlo方法,将组合梁设计参数看作随机变量,分析了刚度折减系数的概率特性,近似得出刚度折减系数的概率分布函数和特征值。
短句来源
     The law of iterated logarithm is an important result in probability theory and has extensive applications.
     重对数律是强大数定律的精确化,体现概率统计理论研究中速度问题的重大进展,具有广泛的应用.
短句来源
     The fatigue life is estimated using fatigue's routine method, the limitation of surface defect is determined by means of drawing lessons from foreign graph and the index calculation of reliability is based on probability theory.
     用常规疲劳设计方法估算疲劳寿命,借鉴国外图表参数确定表面缺陷容限,依据概率统计理论计算可靠度指标。
     Architectural and functional features of a self-adaptive flight control system with self-repair function for aircraft with thrust vector are discussed. The on-line controller design is conducted using the RHO optimal algorithm, the on-line flight parameter identification is implemented using the MSLS algorithm, and a FDI algorithm is developed using global parity space method, sensor data fusion and probability theory.
     研究了具有自修复功能的推力矢量飞机自适应控制系统的结构功能特点,研究了RHO优化控制算法实现在线控制器设计,利用MSLS辨识算法实现在线飞行参数辨识和等价空间算法、传感器信息融合技术和概率统计理论实现FDI算法。
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      probability theory
    The most important aspects of the study seem to be calculations of identification criteria based on the probability theory and purposeful selection of more characteristic search attributes.
          
    Papers read at the third Soviet - Japanese symposium on probability theory and mathematical statistics, Tashkent, August-Septemb
          
    A commutative probability theory related to parastatistics
          
    The lack-of-preference law and the corresponding distributions in frequency probability theory
          
    We obtain two new distributions in frequency probability theory and demonstrate them, in particular, in the example of frequency dictionaries.
          
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    In this paper the following results have been proved:Theorem 1. Let x_n(n = 0, 1, 2,…) be a homogeneous Markov chain, S(k, n) be the number of occurrences of the state k and A (k, l, n) be the number of the state l occurring directly after the state k in the first n trials, and assume that P(D_k)>0, where D_k={ω:x_i=k for infinite i}, then holds almost everywhere in D_k, i.e.,Theorem 2. Let x_n(n = 0, 1, 2,…) be a homogeneous Markov chain, C be a irreducible class of the recurrent states, k ∈ C, S(k, n) be the...

    In this paper the following results have been proved:Theorem 1. Let x_n(n = 0, 1, 2,…) be a homogeneous Markov chain, S(k, n) be the number of occurrences of the state k and A (k, l, n) be the number of the state l occurring directly after the state k in the first n trials, and assume that P(D_k)>0, where D_k={ω:x_i=k for infinite i}, then holds almost everywhere in D_k, i.e.,Theorem 2. Let x_n(n = 0, 1, 2,…) be a homogeneous Markov chain, C be a irreducible class of the recurrent states, k ∈ C, S(k, n) be the number of occurrences of the state k and A(k, l, n) be the number of the state l occurring directly after the state k in the first n trials, if there exists j ∈C such that q_i = P(x_o = j) > 0, then holds almost everywhere in δ_j = {ω:x_o = j}, i.e.,In proof, the author has put forward a new purely analytical method for researches on strong limit theorems, a method of the function theory which is completely different from the usual methods in probability theory.

    本文建立了关于可列齐次马氏链转移概率的一组强大数定律.关于有穷链及具有可列个结果的独立重复实验的相对频率的通常强大数定律是本文所得到的结果的一个简单的推论.在证明中,本文提出了研究强极限定律的一种新的纯分析方法,它与概率论中的通常方法截然不同.

    In this paper, formal derivation of the Kalman filter is made on the basis of an elementary knowledge of probability theory and matrix algebra. The structure of this filter formula and its application have also been illustrated through an example of estimating ship's position.

    本文用较少的概率论和矩阵代数知识对卡尔曼滤波公式作了形式上的推导,并以船位估计问题为例介绍了滤波公式的结构和它的应用。

    This paper described property of the test equipment. 2. The principles of the design for the prot of a long stroke reverse-loop scavenging diesel has been drawn out of our simulating tests. 3. A correcting of the mathematical model indicating the relation between the scavenging efficiency and the scavenging ratio has put forward. A method has also been elicited by which the parameter of the given model b1 and b2 has been prescribed in the light of probability theory.

    本文介绍了试验装置的特点;论述了关于长行程回流扫气柴油机气口设计的几 个原则;提出了关于扫气效率同扫气过量空气系数之间关系的修改数学模型 及应用概率统计理论确定数学模型  中参数 b1和b2的方法。

     
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