查询词典 higher derivative

The main research contents and results are described as follows:The constitutive equation of the elastomer modeled by the fractional derivative Maxwell model has been investigated. Based on the thermodynamics constraints analysis of the physical parameters of the fractional derivative Maxwell model, the relaxation modulus and the creeping modulus of the model are analyzed.

本论文针对该目的，采用理论研究与试验研究相结合的方法，首先研究了胶泥缓冲器的耗能机理，进而设计开发了较理想的缓冲器产品，具体研究内容和成果如下：研究了胶泥的本构模型——分数微分Maxwell模型。

E. , the Frechet derivative is the first order of Zhang's integrated geometric factor. With the help of FEM, the calculation of the Frechet derivative is carried out conveniently, and its efficiency and accuracy are recommendable.

同时给出了均匀背景条件下Frechet导数结果，并且巧妙地解决了利用有限元素法计算Frechet导数的问题，获得了较高的运算效率和计算精度，从而使经典的有限元素法具备了求解测井响应和进行Frechet导数精确计算的双重功能。

The procedure estimating the regularization parameter is the same as that the adaptive Marquardt algorithm used. The Frechet derivative is directly derived from the forward methods: SAM and FEM. With the theory of SAM and Zhang′s geometric factor, the relationship between the Frechet derivative and the geometric factor is established, at the same time, one useful corollary is given, i.

选取正则化因子时，沿用自适应的Marquardt算法中阻尼因子的选取计算方法；计算Frechet导数时，根据逐次逼近解法和张氏几何因子理论，推导出了Frechet导数与张氏几何因子的关系，得出了Frechet导数为张氏一阶积分几何因子的结论。

By means of the Hermite interpolation formula with second derivative,a type of integrating formulas with second derivative is derived.

利用带二阶导数的Hermite插值公式，导出一类具有二阶导数的求积公式。

"Economic Mathematics" on the function of the limit, derivative and differential, derivative applications, indefinite integral, integral, integral and infinite binary Series and the first order differential equations, and so forth.

经济数学》介绍了函数、极限、导数与微分、导数的应用、不定积分、定积分、二元积分和无穷级数与一阶微分方程等内容。

Furthermore, in order to overcome the disadvantage of GMC, i.e., it can only apply to the processes with relative order of 1, based on Lie derivative, we propose to let the r th derivative of the process output follow the given reference trajectory, to get the control law expression through solving an optimization problem.

针对GMC方法只适于相对阶r为1的简单过程的缺点，采用Lie导数的概念，令过程输出的r阶导数的轨迹为事先设定的标称轨迹，通过解优化问题得到控制律表达式，把GMC方法推广至相对阶r大于1的复杂多输入多输出过程，从而提出了一种广义一般模型控制方法。

In chapter three, we study the uniqueness of meromorphic function and its derivative, and obtain the following result: There exists a set S with 6(4) elements such that any nonconstant meromorphic function f and its derivative f' satisfying E=E must be identical.

在第三章中，我们讨论了涉及导函数的唯一性问题，得到了下述结果：存在一个集合 S含有 6(4)元素，对于任意一个非常数亚纯函数f 及其导函数 f'，若 E=E，则f=f'。

The factor of the mixed partial derivative term controls the grid orthogonality. The other two factors of second order partial derivative terms control the grid spacing. The stre...

利用方程系数的这些特性，提出一种 Numman边界条件的给定方法，较好地实现了网格正交和疏密分布的有效控制

The results showed that there were three minimum values in the second derivative spectrums of normal person, in contrast there were four minimum values in most diabetic second derivative spectrums, the diabetic urine had one minimum value more than normal urine during the range from 550 nm to 570 nm.

发现健康人的二阶导数光谱都有三个极小值，与之形成对比的是绝大多数糖尿病患者的二阶导数光谱却有四个极小值，糖尿病患者的尿样在550 nm～570 nm区间范围内比健康人多出一个极小值。

And the spectrum was divided into three regions, which were 430~100 nm, 1 000~1 800 nm, 430~1 800 nm, respectively. Four methods of spectrum data preprocessing were used, which were multiplicative scattering correction, standard normal variate, first derivative and second derivative.

应用多元散射校正，标准正态变量变换，一阶微分和二阶微分四种不同预处理方法，分别在430~1 000 nm、1 000~1 800 nm和430~1 800 nm三个光谱范围内建立识别脐橙污染程度的偏最小二乘法数学模型。

You can do some assertiveness training.

你可以进行一些自信训练。

We were well on the path to making a rear-wheel-drive global platform," says Mays."

我们正致力于建立一个后轮驱动的平台，"Mays这样说道。"