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Moreover it is very difficult to confirm the divided difference interval rightly.

自动微分是一种新的能精确而有效地计算导数的方法,它优越于传统的微分方法。

But for the middle and large scale problems, the computation cost by symbolic differentiation is very expensive. When the direction derivative is evaluated, the computation cost by divided difference can be reduced, but it is only one kind of approximate computation.

对于大中规模问题来说,使用符号微分,成本昂贵,有时甚至不可行,在计算导数的方向梯度时,利用差分法虽然可以降低计算成本,但得到的是近似值,而且确定恰当的差分区间也很困难。

By using the limits of functions and the exchange limit theorem,we considered the relationship between the double limit of function with two variables and its repeated limit s.

应用函数列的极限与函数的极限交换次序定理,研究了二元函数的二重极限与它的两个累次极限的关系定理,研究了二元函数的两个二阶混合偏导数可交换次序定理。

Experiments and application situation on determination of dysprosium by fluorescence analysis and derivative spectrum analysis method are reviewed.

对近10a来的用荧光法和导数光谱法测定镝的研究及应用进行了综合报道。研究了在聚乙二醇2000 硫酸铵铝试剂双水相体系中,铝试剂作萃取剂,对镧、镨、镝的萃取行为。

The laser induced fluorescence and its derivative spectra of dysprosium europium, samarium, and terbium in the system of TFATOPO-Nongru-100 was studied and the method for the simultaneous determination of the four rare earths was developed.

我们利用自己编写的数字微分软件,研究了TFA-TOPO-农乳-100体系中Dt、Eu、Sm和Tb的激光诱导荧光及其导数荧光光谱,拟定了同时测定四个稀土元素的分析方法。

In this paper, we consider the problem of Edgeworth expansions for a class of U-statistic functions by using their Taylor expansions.

利用函数的泰勒展开,考虑了一类U统计量函数的Edgeworth展开问题。分别在函数的三、四阶导数有界等条件的假设下,给出了一类U统计量函数的Edgeworth 展开式

In this paper, started with the most elementary probability formula of Fisher matrix for time delay estimation, some properties of the Fisher matrix for time delay, Doppler shift and its hither derivatives joint estimation are exploited by use of Toeplitz matrix chracteristics in passive location systems.

本文从时延估计的Fisher矩阵的最基本概率表达式入手,利用Toerlitz矩阵性质,对无源定位中时延、多普勒及其更高阶导数联合估计的Fisher矩阵的性质进行分析。

For instance, a chiral or dielectric or conduct circular cylinder, a chiral or dielectric or conduct elliptic cylinder. 5. A general program to calculate any order and any type Mathieu function and its derivation is compiled.

编制了计算任意类、任意阶马丢函数及其导数的程序,此程序解决了多种不稳定性,通用性强,对计算没有任何附加限制,在普通微机上即可保证较高的计算精度和速度。

Although the merit function introduced here is the sum of squares of overdetermined equations, by using the special structure of it, we successfully form the Newton equation by avoiding the product of Jacobi matrices and using only the Jacobi matrix of the function defining NCP.

对非线性互补问题,利用所构造价值函数具有的特殊非线性最小二乘结构,成功实现了具有一般意义的构造Newton方程时仅利用价值函数的一阶导数且无须计算相应残量函数Jacobi矩阵乘积的Newton法。

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。

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