一阶

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。

In the method, the mathematic model of parameter identification is frequency response function.

本方法中，参数识别的数学模型是系统的一阶近似频率响应函数。

In chapter 2, we deal with boundary value problems of the first order functional differentional equation with impluses, some results of the existence are obtained by using the monotone iterative technique and methods of upper and lower solutions.

第二章讨论一阶脉冲泛函微分方程的边值问题，在合适的条件下利用单调迭代法和上下解方法，获得了若干解的存在性结果。

We can get complex individual terms produced by combination of simple individual terms and a functional expression.

个体变元与个体常元的逻辑性质不同，它们与谓词、量词组合的公式在一阶逻辑与模态逻辑中的表现也是不同的。

The coupling constants between the fundamental mode and the first-order cladding modes were determined by a mode-coupling equation.

通过耦合模方程确定了基模和一阶各次包层模之间的耦合常数。

This paper is the continuance of that of Lewalle (2001). Lewalle has made use of Gaussian wavelet to obtain the N-S equations with flexion as fundamental quantity in the infinite domain. In that work, Lapalace operator has been degraded to one-order operator. Moreover the resulted N-S equations take the form of diffusion equations with local bilinear mutual interaction kernel.

本文是Lewalle工作的继续，Lewalle利用高斯子波，得到了以弯曲度为基本量的无穷域中N-S方程，此时Lapalace算子降低为一阶导数，并且N-S方程变形为具有局部化双线性相互作用的扩散方程的形式。

The topics covered in these sections are the geometric interpretation of systems of linear equations, the classification of finite symmetry groups in two and three dimensions, the exponential of a matrix and its application to solving systems of first order linear differential equations with constant coefficients, and Hurwitz's theorem on the composition of quadratic forms.

这些条文所涉及的主题是线性方程组的几何解释，在两个和三个有限对称群的分类方面，一个矩阵及其应用，以解决一阶常系数线性差分方程，系统指数赫尔维茨定理在二次形式组成。

As applications of our results,in section 3.3,we investigate the existence of periodic solutions and golbal exponential stability of some classes of impulsive cellular neural networks with time delays.

第四章首先使用Krasnoselskill锥不动点定理研究了一类一阶奇异脉冲泛函微分方程的周期边值问题，得到了这类奇异边值问题正解存在性的充分条件，我们的结果允许右端函数f中关于u是奇异的。

Then the experiment is done and a very good vibration reduction result is achieved.

实验结果证明在一阶临界转速附近，可取得70%的较好减振效果。

The optimization for the configuration of first-order planar high-Tc dc-SQUID gradiometer which is widely used in unshielded environment is also involved in this thesis.

对于在无屏蔽环境下普遍采用的高温超导 dc-SQUID 一阶平面式磁场梯度计进行了图形结构的优化设计。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。