查询词典 approximate differentiability

The approximate solution to FPK equation isobtained. The joint probability density function and stationary mean out-crossing rateare investigated for ship nonlinear rolling subjected to additive white noise excitation.Melnikov function and phase space flux are applied to analyze highly nonlinear rolland capsizing of ships in the random seas. The variation of phase space flux withrespect to the characteristic wave period, significant wave height and damping ofships is studied.

求FPK方程近似解，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，应用Melnikov函数和相空间转移率研究船舶在随机波浪中的强非线性横摇运动及其倾覆问题，考虑波浪特征周期、有义波高及船舶阻尼特性的变化规律，推导了船舶在随机横浪中的极限波高的表达式。

Some non-stationary time series can be decomposed into several approximate stationary time series with wavelet decomposition.Decomposed time series are forecasted with auto-regression model,to obtain forecasting results of the original time series.

通过小波分解可以将某些非平稳时间序列分解成多层近似意义上的平稳时间序列，然后采用自回归模型对分解后的时间序列进行预测，从而得到原始时间序列的预测值。

Based on statistical learning theory and optimization theory,unconstrained optimization models for support vector machines are built,and an approximate algorithm-maximum entropy method is given.

本文方法特别易于计算机实现，数值实验结果表明了模型和算法的可行性和有效性。1引言近年来，在V.V apn ik的统计学习理论[1，2]基础上发展起来的支持向量机(Support V ector M ach ine，SVM)正成为机器学习领域中新的研究热点[3，4，5]。

In this paper, we use a stochastic approximation to calculate and approximate to the true values of mean lifetimes which are the important components of a masked system.

本论文使用随机近似方法去逼近遮蔽系统中重要元件平均寿命的真实值。

Therefore, basic methodologies for stochastic seismic and filtering responses of nonlinear structure are studied, the approximate solution methodologies and their practical applications are investigated in the dissertation employing equivalent linearization and moment equations method based on FPK equations and Ito stochastic differential equations. The research works are mainly concerned with the following aspects:Firstly, the differential expression of bilinear hysteretic is studied and a new differential expression is developed, then they are demonstrated.

因此，本文基于FPK方程和伊藤随机微分方程，研究了滞后结构物的随机地震反应和随机滤波问题的基本方法，并利用等效线性化法和矩方程法，研究了非线性结构随机地震反应分析和随机滤波分析的近似解法及它们的工程应用。

We design a heuristic rule for retailers to decide whether to transfer their stock or not, and provide an approximate technique to evaluate the transfer policy in this system.

我们设计一个启发式规则，可以用於让售商决定是否要转运他们的库存，并提供一个近似方法评价本文所提出的系统中的转运策。

The inventory cost is a primary component of the supply chain cost, and the method for multi-echelon inventory optimization and control must be adopted for the sake of the entire supply chain optimization and control, t present, papers on multi-echelon inventory systems have solved some problems, but they still have limitations. Firstly, they assumed that leadtime are constants. In practice, as the unknowable incidents exist in production, transportation and distribution processes, leadtime usually are uncertain. Secondly, there exist the hypotheses of totally back orders or completely lost sales under the condition of stockout in most literatures. Thirdly, the existing two-echelon inventory approximate model optimum always fixes one variable in the inventory strategy, and then seeks the optimal in the remained parameters, which makes the result can not be the best outcome.

目前有关两级库存优化控制的研究文献大多是假设提前期为常数的基础上建立模型，然而现实中由于供应链上各节点的库存不确定性以及运输、生产、交货等环节的不可预知性，使得提前期在多数情况下是不确定的；而且大部分文献都是假设缺货情况下要么完全延迟交货，要么完全损失销售，很少有考虑部分损失销售情况下库存优化控制的；另外，现有的两级库存近似模型的优化大都是固定一个库存策略中的变量，对余下变量寻优，其优化结果不可能是最优结果。

To be the heart of the dissertation, the fundamental coupling equations of multi-conductor system with both parallel and cross conductors existed are drawn by using secondary field theory. In addition to the strict solution, a kind of approximate solution, namely, equivalent transmission line equation is presented.

作为本论文的核心，重点研究了地下存在受扰多导体时地下场的分布情况，利用二次场的方法，得到了地下平行、交越多导体系统的基本耦合方程，除给出该方程的严格解外，还给出了一种近似解法——等效传输线方程解法。

By introducing the nonlinear complementarity problem function, the Karush-Kuhn-Tucker conditions of OPF model are transformed equivalently into a set of semismooth nonlinear algebraic equations. Then the set of semismooth equations can be solved by a semismooth L-M method based on the subdifferential. The method belongs to Newton-type method. It can ensure the positive defmitiveness of the iterative coefficient matrix by using the L-M parameter, which avoids the ill-conditioning of iterative equations. The method, requiring only the approximate solution of a linear system at each iteration, is quite applicable to the large-scale cases.

在利用非线性互补函数将OPF模型的KKT条件转化为半光滑非线性代数方程组后，采用基于次微分的半光滑L-M法求解，该方法属于牛顿法范畴，可通过对L-M参数的调整保证迭代系数矩阵的正定性，克服了系数矩阵的奇异引起的"病态"，且该方法在确定搜索方向时只需求解线性系统的加热器近似解，适用于大规模系统的求解。

The results of UPGMA duster analysis based on RAPD and ISSR fingerprint had the approximate trend, but not the same.(5) The synthetical comparison of RAPD and ISSR sustained the independency of Liriodendron, Manglietia, Parakmeria and Tsoongiodendron, and advised to redefine the range of Magnolia, subgen. Yulania indepent from Magnolia, then established Yulania, and abolished the division of subgenera and section Michelia, and set up Michelia.

基于RAPD标记和ISSR标记构建的树图，两者趋势大致相近，但不完全相同；(5)综合木兰科6属20种植物的RAPD和ISSR分析结果，支持鹅掌楸属、木莲属、拟单性木兰属和观光木属的独立；建议重新界定木兰属的范围，并成立玉兰属；建议取消含笑属下亚属和组的划分，设为含笑属。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。