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This article use the improved integral inequalities with the deviate variable and some skills of inequalities as well as related knowledge about second-order differential equation,to obtain the following results: the classification of limit point case or limit circle case and boundedness for second order differential or difference equation with deviative variable,discussed the classification for certain n-order differential equations,Criteria for the classification of second order differential equation with deviative variable.

本文利用推广的具有偏差变元的积分不等式,结合不等式的一些技巧以及常微分方程的相关知识对一类二阶具有偏差变元的微分方程及一类二阶差分方程极限圆型的分类问题作了相关的研究工作,并且讨论了一类n阶具有偏差变元的常微分方程解的平方可积性与有界性和一类二阶非线性具有偏差变元的微分方程解的有界性。

This article estimates the extreme loss distribution with extreme value theory, estimates the shape parameter with HKKP estimator, which is unbiased to small sample data, selects the right threshold by selecting smallest mean square error of the estimated cumulative distribution function and empirical cumulative distribution function and based on the extreme value theory method, this article estimates the extreme loss distribution and the p-percentile operational loss under certain believe range for Chinese commercial banks, then calculates the operational risk supervise capital.

本文利用极值理论对中国商业银行操作损失极端值分布进行估计,针对尾参数估计的来用传统Hill佑计对小样本数据容易产生偏倚的情况,提出了采用Hill佑计的改进―小样本无偏估计的HKKP佑计来估计操作损失的尾参数,针对由于阈值确定不准确导致结果偏差大的情况,采用最小化估计的累计概率分布与经验累计概率分布平均平方误差的方法确定较精确的阈值,估计出给定置信水平下操作风险损失的分位数,从而使得中国商业银行操作风险监管资本的测定成为可能。

In this article, the wave of cutting speed is described as the deviation of mean square and the maximum deviation of speed during the working stroke.

本文用工作行程中速度的平均平方偏差及最大速度差来描述刀具速度波动,并以此为评价函数,采用多目标优化设计方法,确定牛头刨的主传动拉杆尺寸。

The modified method can satisfy the limit of mean square deviation within 10W/m^2, and the average relative error is about 25%.

计算结果与西沙实测资料、长年代的GSSTF2资料和NCEP/NCAR再分析资料进行比较验证,证明改进后的方法精度较高,基本可以保证湍流热通量的平均标准偏差在10W/平方公尺左右,与多年的月平均做比较,相对偏差为25%左右;同时,不仅首次将计算热通量的空间尺度精确到0.1°×0.1°,而且基本模拟出了南海季风暴发期间热通量变化的主要特点以及中国近海热通量随季节、纬度和海岸地形的变化特征。

According to the variations of the mean square deviation of the structures in MD trajectories relative to the initial structures, the false structures can be excluded.(2) In order to achieve the binding mode, the docking simulations were performed between glutathione and different isomers of 99mTc-HMPAO with the package of AutoDock.

以两种蛋白质复合物为例,对其候选结构进行MD模拟,根据MD轨迹中构象相对于初始北京工业大学工学硕士学位论文摘要一构象的平方平均偏差随时间的变化来辅助打分函数排除错误构象,得到了较好的结果。

Considering the fat-tail phenomenon that may exist in practical data, we have also studied the PTLE for the multi-t distribution model based on the three large sample tests above. Performances of the estimators according to the quadratic bias and mean square error are similarly compared in detail.

考虑到实际数据可能存在的厚尾情况,本文研究了文献中讨论颇多的多元t分布模型的基于大样本检验的等式约束预检验Liu估计,并同样在平方偏差和均方误差两个准则下对其优良性进行了详细比较。

The expected value of the square of the deviations of a random variable from the point of origin.

同一时间段内,两个随机变量平方偏差的统计值。

Variance: The square of the standard deviation.

方差是标准偏差的平方。

These two factors contribute 90% of the total sum of squares of deviations.

这两个因素造成90平方偏差总额%。

A new strategy for universe of discourse partition and optimizing the parameters updating algorithm of fuzzy neural controller is proposed.

以流量、入口压力和出口压力偏差的平方加权和为误差代价函数,实现对大容量输油泵流量、入口压力和出口压力的协调优化控制。

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