导函数

And using the embedding theorem, we get the characterizations ofmeasurability, differentiability and integrability of fuzzy n - cell number valued mappings.

并利用此嵌入定理给出了模糊n-方体数值函数的可测性，可导性和可积性的刻划。

In order to get the λ repeated root s of equation f = 0, where λ∈R~+ and the equation may be underivative, an generalized Newton iterative method was constructed with order 2 as its convergence.

设方程f=0有λ重根，其中λ为任意正实数，函数f可能不可导，给出了求这一类方程的λ重根的一个广义Newton迭代法，并证明了这种方法的收敛阶为2。

Half penalty method and optimism design of ten connecting bar mechanism of plunger slide in double action drawing press;2. The essential boundary condition is imposed by employing a penalty method .

将选择施加在"虚结构"控制点上的虚载荷作为形状优化的设计变量，并将它与无网格Galerkin法相结合来开展结构形状优化研究，采用罚函数法来施加边界条件，通过直接微分法建立了结构形状优化的离散型灵敏度分析算法，利用无网格法研究了节点坐标关于设计变量导数的计算。

In this paper, mathematical analysis, linear algebra is more material as the foundation, on the basis of previous studies, will solve a number of the function extreme value methods, such as distribution method, elimination method, the discriminant method, mean inequality method, the geometric method, vector method and derivative method, and so to summarize, and on this basis is given for each method the corresponding examples to illustrate for readers to reference and understanding.

本文以数学分析、线性代数更教材为基础，在前人研究的基础上，将求解函数极值的若干方法，如配方法、消元法、判别式法、均值不等式法、几何法、向量法和导数法等等进行归纳总结，并在此基础上针对每一种方法给出相应的例子加以说明，以便读者参考和理解。

Theorem1 If has partial derivatives at , and has an extreme value at , then we have

定理 1 设函数在点具有偏导数，且在点处有极值，则有。

Moreover,using Ito differential formul a to the constructed Lyapunov function along solutions of lto stochastic differential systems,Lyapunov method is adopted to set up the fundamental theory of dissipativity in the module corresponding to the theory on the dissipativity of deterministic ordinary dif- fere.

提出了有关Ito型随机微分系统耗散性理论的新概念：按模耗散、按模等度耗散和按模一致耗散，并利用Lyapunov方法，借助于Ito 微分公式沿着Ito型随机微分系统的解对所构造的Lyapunov函数求导数，给出了Ito型随机微分系统有关按模耗散理论的一些代数判据，获得了与确定性常微分系统耗散性理论相对应的结论，最后的算例证明了该方法的有效性和可行性。

It shows that the derivative of finite discrete function is locally a pproximate to the one under continuous case.

通过引入最佳平均逼近直线，分别从几何直观和极限情形两个角度，研究了有限离散函数的导数概念的表现。

A fast finite mixture density function based adaptive importance sampling method is proposed to analysis structure failure probability and reliability sensitivity.

提出一种高效的基于混合密度函数的自适应重要抽样法，分析结构的失效概率及偏导型可靠性灵敏度。

Design parameter based on finite element model updating is part of an inverse problem of structure dynamics. Features of the structure are used as a function of design parameters. Parameters are updated based on the first derivative. This paper presents a new method which treats the model updating as a positive problem.

设计参数型有限元模型修正属於结构动力学反问题，其理论基础是将结构的特徵量视为设计参数的函数，然后依据特徵量对设计参数的一阶导数信息进行迭代求解。

Taking the first boundary condition as an example, it used the second order derivative of the junctions to represent the cubic spline interpolation function, and solved the relative equations with chasing method.

以第1边界条件为例，用节点处二阶导数表示三次样条插值函数，用追赶法求解相关方程组。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。