条件方程

By applying the approach of the transformation of Lie group,the exact analytical solutions of the non-linear consolidation equation is obtained under different initial and boundary conditions. Based on this solution,the differences between that of large and infinite strain consolidation theories are analyzed.

运用变换群的方法求得了某些条件下大应变固结方程的完整解析解答，在此基础上与相同条件下的小应变固结论理做了比较，并通过对实例的计算，分析了不同假设条件下一维固结理论之间的差异。

Under the conditions that the system without impulse effect satisfies the one-side Lipschitz condition, and the impulsive terms satisfy the corresponding Lipschitz conditions, a sufficient condition which can be easily checked the stability of the analytic solution is obtained.

在不受脉冲影响的原方程满足单边Lipschitz条件，及脉冲项满足相应的Lipschitz条件的情况下，给出了一个容易判别的解析解渐近稳定的充分条件。

Here mainly introduces five natures of the initial value problems, In several aspects summed up as the following : whether there are solutions to the problems, whether the only solution, the existence of solutions interval extent; Initial issues under what conditions have a solution--Cauchy - Piano existence theorem; how the district between the definition of a solution to open up a larger interval up; initial value problems for the sole condition --- Lipschitz conditions; 3、the numerical solution of the initial value problems of Ordinary Differential equations .

在这里主要介绍了初值问题的5个方面的性质，分别在这几个方面中总结了以下内容：初值问题是否有解，解是否惟1，解的存在区间有多大；初值问题在什么条件下有解----柯西-皮亚诺存在定理；怎样把在小区间上有定义的解开拓到较大的区间上去；初值问题解的惟1性条件---李普希茨条件；3：常微分方程初值问题的数值解法。

Application and development of platelet transpiration cooling technology in LRE;2. The Computation and Analysis of Heat Transfer of Platelet Cooled Microchannel on the High Temperature and High Pressure Gas Wall;3. Physical-mathematic model is built for the process of evaporation and combustion of the two interactive arbitrary size semisphere pearly transpiration droplets in platelet hole structure under micro-gravity condition.

针对微重力条件下层板孔隙结构中两个相邻任意尺寸半球形珠状发汗的蒸发与燃烧过程，建立了相应的数学物理模型；在双球坐标系中求解分子扩散传质偏微分方程，得到发汗液珠的分子扩散组分分布的解析解和扩散速率表达式；分析得到在常温、高温条件下蒸发以及燃烧状态下发汗液珠的相互作用因子式，计算了相互作用的发汗液珠在不同条件下的发汗蒸发量以及变化趋势。

Naturally,we confront with such a problem:can we generalizethe systematic work on the classical boundary value problem for analytic func-tions and singular integral equation to Clifford analysis?And so this problemhas especially theoretical and practical meaning,and naturally this problem hasbecome a common hot topic for mathematicians at home or abroad.

其结果在一定程度上推广了一些经典文献的结果，取消了这些在经典文献结果中对s=0或s=n的条件限制，需要指出的是，据作者所知，到目前为止，本文也是第一次系统而又比较深入地研究了取值在泛Clifford代数〓上的超复函数的性质，并获得了比较系统而又深入的结果；另外，本文还对Clifford分析中的某些比较特殊的Riemann边值问题与奇异积分方程做了一定程度的研究，由于文中所用的方法较曾经出现的文献而言有着根本的改进，因此，本文去掉了从前在这一问题的研究过程中所做出的一些不必要的条件限制，从而使得在比以往条件更弱的情况下，获得了比以前文献中更多的结果。

The linear transient eddy current electromagnetic field problem for determining solution is characterized by replacing the interface condition of the tangential component of the electric field intensity by the interface condition of the normal component of the magnetic flux density, and ignoring the displacement current in the constraint equations.

谢莉 北京航空航天大学自动化科学与电气工程学院，北京 100083雷银照北京航空航天大学自动化科学与电气工程学院，北京 100083线性瞬态涡流电磁场定解问题的主要特点是边界条件使用磁感应强度的法向分量边界条件代替了电场强度的切向分量边界条件，约束方程中忽略了位移电流。

objective to investigate law of development of chrysomyia megacephala in natural condition,and to probe its application in forensic medicine.methods rate of development and total effective temperature of chrysomyia megacephala were observed,recording the result and statistical analysis.results two equation of linear regression（y1=0.430 8+0.237 1x,y2=75.684 6-1.444 7x） were established between the total effective temperature and the length or weight of chrysomyia megacephala.conclusion it can be used to estimate the time of death in forensic medicine practice depending on the mathematical model from the effective temperature.

目的 研究大头金蝇在自然条件下的发育规律，探讨其在法医学中的应用。方法对大头金蝇在自然条件下的发育速度及有效积温进行观察、记录和统计学处理。结果确立了y1=0.430 8+0.237 1x，y2=75.684 6-1.444 7x 2个有效积温与蛆长和蛹体质量的线性回归方程。结论在自然条件下用积温法建立起的大头金蝇发育数学模型可应用在法医学死亡时间推断中。

The UV/vis exhibited the absorbance of BSA(210nm) to shift tored and decrease gradually with the addition of nicotine, reflecting the transition of secondarystructure of BSA, namely the helix of BSA become looser.

Lineweaver-Burk 双倒数方程计算pH7.4 和 pH11.0 体系在温度为 20℃和 37℃条件下尼古丁和 BSA 的结合常数 k 分别为： k20℃=140.15 L·mol-1 ，k37℃=131.83 L·mol-1 （pH7.4）和 k20℃=141.76 L·mol-1，k20℃=27.79L·mol-1(pH11.0)，表明结合常数在 pH7.4 条件下受温度的影响要比 pH11.0 条件下小，推测是由于不同 pH 下尼古丁存在的不同形态所致。

The inefficiency problem during cold rolling of titanium sheet without tension exerted on it was investigated. The state equation of stress of titanium sheet under tensional effect is deduced on the basis of Hill's anisotropic yield criterion in combination with the anisotropic characteristics of titanium s mechanical properties.

针对钛板在无张力条件下冷轧效率低下的问题，首先结合钛材力学性能各向异性的特点，以Hill异性屈服准则为基础，推导出钛板在张力冷轧下的应力状态方程，从而在理论上阐明，钛板在张力条件下进行冷轧的可行性主要取决于其塑性变形条件及其所处的应力状态。

Firstly, micro-thermal calorimeters were used to qualitatively analyze the thermochemistry behaviour of reactants system under adiabatic mode; Subsequently a series of toluene nitration experiments were carried out in an isothermal reaction calorimeter to study the influences of different operating conditions such as stirring speed feeding rate and setting temperature and so on . The thermal hazard assessment of toluene nitration was derived from the measured calorimetric data, the rate of the reaction the adiabatic temperature increase △T_ad and maximal temperature attainable MTSR_max in a runaway situation can also been derived.

首先采用微量热分析仪对反应体系在绝热状态下的热行为进行分析；再采用等温条件下的反应量热器实验研究不同的工艺条件如搅拌速度、加料速度和设定温度等参数对反应结果的影响；结合热分析数据和RCle数据，对甲苯的一段硝化过程进行了初步的热危险分析，推导出反应速率方程、反应失控条件下的绝热温升△T_和反应所能达到的最大温度MTSR等参数。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。