理论概率

Dynamic reliability under Littlewood-Paley wavelet is the biggest, dynamic reliability under modified meyerwavelet and harmonic wavelet are close. Analyzing the dynamic reliability of structure under odd exponent wavelet is very simple, it doesnt calculate Power Spectral Density function integral, it is only to calculate the square of displacement standard deviation and the square of velocity, then the dynamic reliability of structure can be concluded by max distribution. In addition the effects of upper limit is considered, when upper limit is smaller, the dynamic reliability of structure is less, that is, the damage possibility is bigger.

通过结构地震反应在小波基下的动力可靠性分析说明：无论是单自由度还是多自由度从理论上推导在这四种小波下的结构动力可靠性是可行的，而且考虑的结构地震反应都是非平稳的高斯过程，方法实现也比较容易；在Littlewood—Paley小波基下求得的结构的动力可靠度比较大，由改造的meyer小波和谐波小波求得的动力可靠度略有差异；单边指数小波下的结构动力可靠性分析非常简单，不用求功率谱函数来积分，只需求得结构地震反应的位移方差，速度方差，利用最大值分布公式就可得到结构的动力可靠时程；另外也考虑了超越界限对结构动力可靠度的影响，超越界限越小，结构的动力可靠度越小，即破坏概率越大。

Thus, we have studied the high-Tc superconducting quantum interference device system by stochastic theory, and obtained some significative result, especially the stationary distribution function of DC SQUID is obtained firstly in the accurate theory, and the expressions of all this systems characteristics functions are obtained.

为此，我们利用随机理论研究了高温超导量子干涉器件系统，取得了一点有意义的成果，特别是得到：DC SQUID系统的定态概率分布的精确解析表达式，进而得到该系统的所有特性函数。

As the main part of this thesis, based on RSJ model, a symmetric DC SQUID is theoretically studied through two-dimensional Fokker-Planck equations, by using the "potential condition" in the case of steady state, the stationary probability distribution function of this system is obtained firstly in the accurate theory, meanwhile, the expressions of all the SQUID characteristics functions are obtained, for example, the circulating current, total normalized voltage and transfer function.

作为本论文的主体工作，我们以RSJ模型为基础，利用二维Fokker—Planck方程从理论上研究了对称型双结超导量子干涉器件，利用定态条件下的"势条件"得到了系统定态概率分布的精确解析表达式，进而得到了该系统所有特性函数如环路电流、总电压、调制函数的统计表达式，利用数值计算讨论了各种参数对DC SoL71D系统特性的影响。

The stationary probability density function and the stationary mean out-crossing rate of the response of ship nonlinear roll-motion subjected to additive stochastic white noise excitation are examined by a new approximate method in this paper.

应用求解FPK方程近似解的一种新理论研究白噪声激励下船舶非线性横摇运动的联合概率密度函数及稳定期望穿阈率。

By applying the theory of infinite series, this paper proves a factorial inequality and proposes an improved upper bound of the parameter on Stirling s formula.

应用级数理论证明了一个关于阶乘的不等式，从而给出Stirling公式中参数的一个改进上界，并在此基础上，对一个有关产品检测的古典概率———二项分布的近似计算问题进行了讨论

Statistical dependence and stochastic comparisons have been proven to be very useful in applied probability, statistics, reliability, operations research, and other fields.

统计相依与随机比较在应用概率、统计学、可靠性理论、运筹学等其它的领域有着广泛的应用。

Base on the classical problem of the theory of optimal stopping──the secretary problem,k-th choice problem is worked out(k managers choose k secretaries ).The optimal stopping rule is given,and we proved that the optimal value of probability is the kth item of Poisson distribution with parameter k.i.e.e￣-K/k!.

从最优停止理论的经典问题──秘书问题出发，构想了K个经理从N个姑娘中各选一秘书的问题，证明了其最优规则，得出了概率最优值是参数为K的泊松分布的第K项，即e￣k￣k／k从！

Bayes sequential decision problems, stopping rule problems, optimality of sequential probability ratio test, Wald identity, asymptotic theory, and other topics.

序贯分析：贝叶斯序贯决策问题，停步法则问题，序贯概率比率检验的最优化，Wald等式，渐进理论，及其它。

Topics covered include subjective notion of probability, Bayes' Theorem, prior and posterior distributions, and data analysis techniques for statistical models.

包括：概率的主观定义，贝叶斯理论，先验和后验分布，统计模型的数据分析技术。

To analyze the reliability of oil pipeline ,the traditional methods of the evaluation for reliability ,based on the theory of reliability and supposal of failure rate ,regard the pipeline as a system of series connection or parallel connection .

对长输管道可靠性进行评估的传统方法是，将管道结构视为一个串联或并联系统，运用可靠性的理论概念和各种失效概率假设，以故障率的统计资料为计算依据来进行可靠度的计算分析，可靠度也采用故障率等参数来表达。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。