一般方程

The general theory of backward stochastic differential equations has been de-veloped only recently, beginning in the early 1990s.

倒向随机微分方程的一般理论只是最近才发展起来的，它始于上个世纪九十年代初。

Invariant Manifold: An unstable periodic orbit in a Hamiltonian system (a general class of differential equations which includes the three body problem) have associated two families of orbits forming tubes connected to the periodic orbit.

不变流形：一个不稳定的周期轨道的哈密顿系统（一个微分方程一般类，其中包括三个体问题）有关联的两个形成连接管轨道周期轨道的家庭。

objective to study the correlation among psychosomatic health factors,depression,anxiety and sleep status in college students,to analyze influence factors in sleep status.methods with questionnaire opened in-vestigation,200college students were evaluated using cornell medical index,self-rating depression,self-rating anxiety scaleand pittsburgh sleep quality index.stepwise regression analysis was used.re-sults total score of sds was35.55±7.8,and sas was0.48±0.9.each score of cmi was higher than normal range,the highest was digestion system,next was respiration system,then,fatigue,eyes and ears,anxiety,sensitivity,tension,maladjustment in turn.total average score of psqi was6.32±3.6,ordinary sleep were115cases（57.5%）,good and bad sleep were42（21%）and43（21.5%）cases respectively.influence factors in total score of psqi were sas,cmi,respiration system,anxiety,past healthy,digestion system,fatigue,sensitivity,sds and malad-justment in turn,using stepwise regression analysis,total score of psqi as dependent variable,each factor score of cmi,total score of sds and sas as independent variables.conclusion problems of psychosomatic health,anxiety and depression could both lead to sleep disorder.

目的 研究在校大学生心身健康因素及抑郁焦虑等与睡眠状况的相关性，并对影响睡眠状况的有关因素进行分析。方法采用问卷式的开放性研究，对在校的200名大学生进行康奈尔心身健康问卷、自评抑郁量表、焦虑自评量表和匹兹堡睡眠质量量表的测定，采用逐步回归分析方法。结果 sds总分为35.55±7.8、sas总分为0.48±0.9，cmi评分：消化系统最为严重评分为2.52，其次为呼吸系统、疲劳感、眼和耳、焦虑、敏感、紧张、不适应等，评分均高于正常常模。psqi总均分为6.32±3.6，一般睡眠有115例占57.5%，睡眠质量较好42例占21.0%，睡眠质量较差43例占21.5%。评估对睡眠状况的影响程度，以psqi总分为因变量，选择cmi各因子分和sds、sas总分作为自变量，进行多因素逐步回归分析，进入方程的因素依据标准化偏回归系数，影响psqi总分的因素依次为sas总分、cmi总分、呼吸系统、焦虑、既往健康、消化系统、疲劳感、敏感、sds总分、不适应（f=226.8；p.01；r=0.73）。结论心身健康问题和焦虑抑郁可导致睡眠障碍。

Based on the Logistic equation and system dynamics, the models of passenger flow growth of urban rail transit in one line and in the whole urban rail net have been established.

以逻辑斯蒂方程为基础、系统动力学为工具建立单条线路及整个城市轨道交通网的客流量发展模型，通过分析影响城市轨道交通客流量变化的多个因素探讨城市轨道交通客流量变化的一般规律，对如何发展城市轨道交通提出建议。

Especially, contact angle of a real three-phase system is usually not, as predicted by the Young equation, defined uniquely, but varies in a range of values-the phenomenon known as hysteresis of the contact angle.

特别是，实际三相系统的接触角一般能在某个范围内被钉扎不动，不象Young方程所指出的那样有唯一确定的值，称之为接触角的滞后现象。

Euler-Lagrange equations of the functionals defined on the unit sphere S〓 with more general form is also educed, which is beneficial to the discussion of the behavior of those functionals in chromaticity diffusion.

我们还导出了球面上的较一般形式的泛函的Euler-Lagrange方程，为进一步研究不同泛函用于色彩扩散的性态打下了基础。

The main work and achievements are summarized as follows:From the point of view of the formation satellites system energy, the vectorial form of the generalized relative dynamic equations is derived by the Lagrange method.

本文的主要研究内容如下：从编队卫星的相对能量角度出发，基于拉格朗日方法给出了一般情况下编队卫星相对动力学方程的矢量表达式。

After analyzing the working characteristics of the laser crystal,taking into account of the aeolotropism of heat conduction of Nd:GdVO4 crystal,the general analytical expressions of the temperature field and thermal distortion field of Nd:GdVO4 crystal end-pumped by super-Gaussian beam were obtained based on the Poisson equation for aeolotropic heat conduction.

通过激光晶体工作特点分析，考虑到Nd：GdVO4晶体热传导各向异性的特点，采用各向异性传热的Poisson方程，得出了超高斯光束端面抽运Nd：GdVO4晶体温度场以及热形变场的一般解析表达式。

For general nonautonomous case, by means of the lower and upper averages of a function, under the conditions that the restriction on coefficients of the systems is relaxed further, some new results on the logistic equation are obtained, and sufficient conditions are given for permanence and global attractivity of the systems.

对于一般非自治情形，借助于函数的上、下平均值，在进一步放宽了对系数限制的情况下，我们得到logistic方程的一些新结果，给出了系统持久和全局吸引的充分条件。

In the present thesis, the solution of axisymmetrical space full plastic problems of ideal elastoplastic material is proposed from the fundamental equations, the possibility of using Tresca's yielding condition and the influence of longitudinal stress are discussed therefore the analytic formulae of plastic strain are also derived.

本文从轴对称空间问题的基本方程出发，研究了理想弹塑性材料塑性加载时的一般解法，讨论了采用各种形式Tresca屈服条件的可能性及轴向应力对于它的影响，并导出了塑性应变的解析式。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷