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By using the interpolation mechanism of fuzzy system, an approach of building the series of fuzzy systems, which can uniformly approximate any continuous function on a compact domain to any accuracy, is given, and then the universal approximation theorem is generally proved.

利用模糊系统的插值模型来代替被控对象的真实模型,设计了一个自适应模糊控制策略;为保证系统的全局稳定性,增加了一个补偿控制律,它是根据模糊系统的逼近误差估计量来设计的,因此这里系统跟踪误差的收敛性不依赖于模型最小误差的平方可积性[70,71]。

Under weighted squared error loss, it is showed that a least favorable prior, when estimators are restricted to be polynomials of X with degree no more than k, exists and has at most (k+2)-point support, and its Bayes solution, under above restriction, is a k/sup th/ polynomial minimax estimator.

是观测值X的期望值,在X的多项式函数中,於加权平方误差损失之下,本文考虑使其最大风险最小化的多项式大中取小估计式。

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。

Sensitivity function and control sensitivity function are obtained by Youla parameterization of controller,which is used to describe an integral square performance criterion containing tracking error and control energy.

由控制器Youla参数化得到控制系统的敏感度函数和控制敏感度函数用来表示一个包含跟踪误差和控制能量在内的积分平方性能指标,针对不同类型的时滞过程运用谱分解的方法最小化该性能指标,从而导出相应控制器的设计方法,可使系统在控制能量约束条件下具有最优的控制性能。

An integral square performance criterion containing tracking error and control energy was defined. Spectral factorization to minimizing the performance index for different systems was applied and corresponding parameter tuning methods of PID controller was derived, which could be used to obtain optimal control performance under control energy constraint.

定义了一个包含跟踪误差和控制能量在内的积分平方性能指标,针对不同系统运用谱分解的方法最小化该性能指标,从而导出相应的PID控制器的参数整定方法,可使系统在控制能量约束条件下具有最优的控制性能。

It was suggested that in the radiation distance of 50 to 100 cm, the dosage could be calculated by the square inverse ratio law.

提示:照射距离为50~100cm时可采用平方反比定律计算剂量,如果可能尽量采用相同的距离进行最小红斑量测定与照射或按不同距离时的强度比值折算。

In the radiation distance of 25 cm, the practical value was less than theoretical one. It was suggested that in the radiation distance of 50 to 100 cm, the dosage could be calculated by the square inverse ratio law.

提示:照射距离为50~100cm时可采用平方反比定律计算剂量,如果可能尽量采用相同的距离进行最小红斑量测定与照射或按不同距离时的强度比值折算。

In this paper, we consider the symmetric loss function.

为此,传统的解决方法是在平方损失的条件下,将风险保费的估计量限定在样本的线性非齐次估计量中,并利用最小二乘法求得其最优线性非齐次可信性估计。

MSSM is the most promising extension of SM, and can solve many difficulties in SM, such as Higgs self-energy quadratical divergence. In the R-parity violation MSSM, top-charm such as Higgs self-energy quadratical divergence.

最小超对称标准模型是标准模型最有希望的扩展,可以解决标准模型中的许多问题,比如Higgs自能平方发散问题等。

The corres- ponding computer program is also developed and has been used to work out a series of problems with satisfactory results.

文(8)建议最小二乘意义下的近似方法,目的是使连接点处两单元轴向位移差的平方泛函取极小,但是对二维及三维的薄壁杆件体系

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