一阶

Based on the dynamics fundamental equation, the rigid ships rolling coupled oscillation model was established, then the definite condition of the coupled oscillation equation under the regular transverse wave and first-order ordinary differential equations were presented. The ship vibration rule under the regular transverse wave was analyzed by examples, simultaneously the influence of damping coefficient on the vibration type was discussed.

基于动力学基本方程，首先建立了刚性船舶横摇的耦合振动方程，然后给出了在规则横浪激励下的耦合振动方程的定解条件和一阶常微分方程组，最后通过算例计算了在规则横浪作用下船舶的振动规律，同时研究了阻尼系数等参数对其振动规律的影响情况。

The background component must be calculated by integration of the product of aerodynamic force covariance and influence function, instead of mode superimposition, while the resonant component only consider the contribution of the 1st mode.

前者不能按振型分解法求解，而应通过对气动力协方差与影响函数乘积积分的方法来计算；后者可只考虑一阶振型的贡献，两者应按平方和开方的原则组合得到脉动风致响应的峰值。

The atom stacking process of twins on {111} planes of diamond crystal were studied.

研究了一阶孪晶在金刚石晶体{111}面生长的原子堆垛过程。

We also obtain the expansion of the first Melnikov function for a system exhibiting a cuspidal loop.

对于一类具有尖点环的哈密顿系统给出了其在尖点环附近的一阶 Melnikov函数的展开式。

We study cuspidal loop bifurcation、 Homoclinic or double Homoclinic bifurcation、 Hopf bifurcation and obtain the necessary conditions to generate limit cycles by using the coefficients of the expansion of the first Melnikov function.

利用一阶Melnikov函数的展开式的系数研究了尖点环分支、同宿分支、双同宿分支和Hopf分支，并给出了产生极限环的充分条件。

Another part of our work begins with definition of multioutput generalized bent functions. We show their spectral characteristics and give equivalence definition using generalized first order Chrestenson cyclic spectrum. Also we calculate rate of accordance between multioutput generalized bent functions and multioutput m-valued affine functions. Then we define multioutput m-valued perfect nonlinear functions and show relationship between them and multioutput generalized bent functions. Finally we give two ways of constructions of multioutput generalized bent functions.

第三章中首先给出了剩余类环上的多输出广义Bent函数的定义，得到了多输出广义Bent函数的广义一阶Chrestenson谱特征，然后计算了多输出广义Bent函数与多输出m值仿射函数的符合率；接着定义了多输出m值完全非线性函数，讨论了多输出m值完全非线性函数与多输出广义Bent函数之间的关系；最后给出了两种构造多输出广义Bent函数的方法。

In this part, the characteristics of transient responses of flexible rotor systems with arbitrarily distributed mass on isotropic or anisotropic supports passing through several critical speeds seguencially are examined. Here, the current knowledge of rotor dynamics on the eigenproblem of damped free whirling vibration, the generaliged damped mode theary, the transient forced vibration and so on combined with KBM asymptotic method in the nonlinear vibration theory is employed and extended.

作者综合运用并引伸推广转子动力学关于阻尼自由回旋振动的特征问题、广义阻尼模态理论、瞬态强廹振动等現代理论和方法，结合非线性振动理论中的KBM渐近法，提出自己独創見解和覌点，成功地建立起正回旋和逆回旋两种情况下转子通过临界点的瞬态振动一阶微分方程组，可以在临界点的邻域内从事方程的数值积分计算。

After 1-D approximating of electrostatic fields in the IDT, we give the basic analysis model of IDT: the Delta function model, impulse response model, equivalent circuit model, and the model parameters.

从激励产生SAW的IDT上静电场的一阶近似入手，给出了分析IDT的基本模型：δ函数模型、脉冲响应模型、等效电路模型，给出了各模型的基本特点与参数。

Using first order plug-flow reactor model, BOD5 removal rate constants of the whole wetland system were estimated to be 0.50 1/day (at 24℃) and 0.76 1/day (at 24℃) in the start-up and stable phase, respectively. These values were comparable to or even higher than the value of deoxygenation rate constant, 0.23 1/day (at 20℃), that is normally used in the river water-quality model.

由一阶柱塞流反应器模式(first order plug-flow reactor model)估算人工湿地系统启动阶段及稳定操作阶段的BOD5去除速率常数平均分别为0.50 1/day(24℃)及0.76 1/day(24℃)，相当於或甚至高於一般河川水质自净模式中的BOD5脱氧速率常数的0.232 1/day(20℃)。

Outside the"domain of determinacy", the solution may not be unique.

利用一阶非线性偏微方程的特征线方法，研究了混合硬化下CMSG理论在剪切和自重拉伸两个问题的解。

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。