参数方程

We first got the PML equations by making the radius complex, and then proved that the sesquilinear form in the weak formulation of the PML problem satisfies the Grding inequality under the hypothesis of the absorption factor, and further could prove the existence and uniqueness of the solutions of the PML problem, finally, we gave the numerical experiments which show that this method is feasible to a certain extent.

首先通过复化极径得到PML方程，然后在关于吸收参数的假设下，证明了PML问题变分形式中的半双线性形式满足Grding不等式，进而证明了PML问题解的存在惟一性，并给出了数值实验。实验结果表明，该方法有一定的可行性。

We first got the PML equationsby making the radius complex, and then proved that the sesquilinear form in the weak formulation of the PML problem satisfies the Garding inequality under the hypothesis of the absorption factor, and further could prove the existence and uniqueness of the solutions of the PML problem, finally, we gave the numerical experimentswhich show that this method is feasible to a certain extent.

首先通过复化极径得到PML方程，然后在关于吸收参数的假设下，证明了PML问题变分形式中的半双线性形式满足Garding不等式，进而证明了PML问题解的存在惟一性，并给出了数值实验。实验结果表明，该方法有一定的可行性。

This paper mainly introduces experimental methods and basic principle about gelled acid reaction kinetics. Through the reaction kinetics experiment of straight acid and gelled acid, the reaction parameters of acid - rock reaction and kinetic equation in different conditions were achieved.

介绍了胶凝酸反应动力学的试验方法及基本原理，进行了普通酸和胶凝酸与灰岩的反应动力学试验，得到不同条件下的酸岩反应动力学参数及反应动力学方程，对优化碳酸盐岩油藏酸压设计有一定的指导作用。

Based on the early works, the C program language and the least square method were used to obtain the thermal viscoplastic constitutive equation.A mechanical thermal coupled model was created and DEFORM-2D was used to analyze the thermal and mechanical parameters' changing during the process of adiabatic shearing.

我们在所作的前期工作及国内外的研究成果的基础上，应用C语言程序实现了最小二乘法拟合热一粘塑性本构方程中待定参数的求解过程；在此基础上应用DEFORM 2D 有限元分析系统对，Ti-6A1-4V绝热剪切过程中的热一力变化历史进行了分析；在数值模拟结果的基础上，进行了再结晶动力学的分析与计算。

Due to rotation characteristics of spindle and definite parameterized structure of aerostatics lubricated bearing ,mass-spring structural method equivalent to aerostatics bearing system was introduced and system main coordinates and inherent frequency were obtained by establishing dual movement equation.

针对气体静压主轴的运动特性和气体静压润滑轴承的参数结构，提出了采用质量-弹簧结构方法来等效气体静压轴颈轴承系统，并建立了系统二自由度运动方程，最终确定了系统的主坐标系和固有频率。

Based on the analysis of the forces exerted on particles in air flow, the track equation which describe particles jetted from nozzle in air sampler and formula between the track and design parameters of impactor are obtained.

本文从颗粒在气流中的受力情况分析入手，得到冲击采样器中喷嘴喷出后颗粒的运动轨迹方程以及运动轨迹与采样器切割头设计参数的关系式。

The explicit solution expressed by elementary function of equations of heat and mass transfer in spray air washer is solved.

利用常微分方程研究喷水室热质交换方程组的解，得到了各断面空气的干球温度和含湿量及水温之间的关系式，得出了喷水室热质交换方程组用初等函数表示的显式解，给出了各种状态参数情形下解的表达式。

But in fact, the system of half-tracked air-cushion vehicle is over complicated. When the vehicle drives in an unknown soil, the parameters and structures of controlled member will change with load or disturbances. This system is nonlinear and time-variant, and it is very difficult to analyze its transfer function and state function quantitatively.

然而在实际工作中，由于本课题中的系统过于复杂，当行驶在未知土壤条件下时，被控对象往往随着载荷或干扰因素影响，其特性参数或结构发生改变，属于非线性和时变性的不确定系统，它的传递函数或状态方程难于用传统的定量分析方法加以实现。

The tree diameter at breast height and crown length can be used to predict the size and location of mean knot diameter in a whorl.A linear mixed model expressed as function of tree and knot variables such as HK、RKD、KD and DBH was used to predict sound knot length,and a log-linear mixed model using RKD and DBH as variables was used to describe loose knot length.4.A knot has four development phases:from the birth of a branch to its growth cessation,from growth cessation to death,form death to occlusion and form birth to occlusion.The numbers of annual rings in four periods,as well as the stem width of respective zones were used as dependent variables predicted by models expressed as function of tree variables and knot attributes.5.Using the data of diameter out side bark of 15 relative heights along the step,the best taper equation for Larix olgensis was established.

节子平均直径可以用以胸径，冠幅和节子高度为参数的舒马克生长方程来预测，用树木胸径和冠长可对每轮节子平均直径的最大值及位置进行预测；健全节长度可用以节子着生高度、相对直径、节子直径以及树木胸径为参数的线性混合模型来预测，疏松节长度采用节子相对直径和胸径为自变量的可转化为线性模型的自然对数模型来预测；4、节子有四个生长发育时期：从枝条形成到生长停止BC从生长停止到死亡(CD从死亡到包藏DO从形成到包藏

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。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。