条件方程

The number and stability of the limit cycles of a class of polynomial system with degree n are studied under some conditions by means of the results about Abel equation.

并利用关于Abel方程的这些结果得到了一类n次多项式系统在一定条件下极限环的个数和稳定性。

Firstly,based on the WR Sexton method,the method and mathematic models of supplementing the sub-idle rotating component characteristics is presented.Secondly,the turbofan windmilling high-low pressure rotor co-working equations and the whole engine co-working equations are established.lastly,a turbofan engine windmilling characteristics under various windmilling conditions are simulated and analyzed.

首先，基于不可压流理论，附以可压缩效应修正的指数法发展了补充慢车转速以下部件特性的计算模型和计算程序；其次，根据流量连续、压力平衡、功率平衡、燃烧室进出口总温相等及转速相等等约束条件建立了风车状态时涡扇发动机高低压转子及整机的共同工作方程；最后发展了具有一定计算精度的涡扇发动机风车状态特性计算模型和程序，并以某型涡扇发动机为例，计算分析了不同飞行条件下发动机的风车特性，从计算结果看，其趋势是合理的。

The test results showed that when the cycle water flow was 65m^3/h and the oxygen flow was 1, 2,……, 10L/min, the relationship between the dissolved oxygen and oxygen flow in the water was y=0.1009χ^2+0.0594χ+5.9588 (r=0.9927). According to the mass balance principle, the maximum oxygen utilization rate of oxygen cone was calculated at 84.56%. Under the condition of the maximum oxygen utilization rate of oxygen cone, according to the rate of Nile tilapia oxygen consumption, the number of oxygen cone was projected in industrialized fish farming system. It provided the basis for oxygen supply system design in industrialized fish farming system.

结果表明，在循环水流量为65 立方公尺/h，水温24.5℃，氧气流量为0， 1， 2，……，10 L/min的条件下，溶氧与氧气流量回归方程为y=0.1009χ^2+0.059 4χ+5.958 8(r=0.9927)；根据物料平衡原理，推算出氧气锥的最大氧气利用率为84.56%；在最大氧气利用率的条件下，依照尼罗罗非鱼的耗氧率计算模式，推算出工厂化养鱼系统需配置氧气锥的台数。

At first, the rought C〓F〓 mixed gases are obtained by pyrolysis process of R22. A experimental pyrolysis device is designed and made by ourself. The optimum operating conditions are offered in the paper. Secondly, the much efforts is on the synthesis of R134. After through the discussion of basic thermodynamics and kinetics, selecting and preparating catalyst, it is possible that the synthesis of R134 by pyrolyzed gases hydrogenation. Base on the character of catalytic process, the kinetics equation about C〓F〓 catalytic hydrogenation is established. The rate constant of the reaction is obtained through experiment data regression. In order to achieve higher yield of R134, some optimum technological conditions is determined.

论文首先对R22裂解制成四氟乙烯混合原料气的裂解过程进行了讨论，自行设计和制作裂解反应装置，并确定裂解反应的最佳操作条件；然后，重点对R134的合成进行基础研究，分别从热力学和动力学的角度探讨以含四氟乙烯的R22裂解混合气为原料合成R134这一全新工艺的可能性，选择和制备加氢催化剂，根据催化过程特点建立四氟乙烯催化加氢反应的总包动力学方程，并在此基础上自行设计和制作中试合成装置，获得了以裂解混合气为原料合成R134的最佳工艺条件，为R134的工业化生产提供了必要的理论依据和实验基础。

The thermodynamics about the buckwheat microporous starch absorbing the methylene blue follows the monolayer absorption rule of the Langmuir equation. The alkalinity condition monolayer saturated adsorption is 2.9 times higher than acidic condition. When pH value rose from 4.8 to 10.8, the negative value of absorption heats increased, absorption was spontaneous exothermic process, and that was easier to carry on at pH10.8 due to the slight adsorption electrostatic repulsion.

荞麦微孔淀粉对亚甲基蓝的吸附热力学遵循Langmuir直线吸附方程的单分子层吸附规律，碱性条件的单分子层饱和吸附量比酸性条件高2.9倍；pH值从4.8增大至10.8，吸附热负值增大，吸附为放热的自发过程，且在pH10.8时吸附所受到的静电斥力小，吸附更容易进行。

Different water conditions were set up in pot experiment, and the effects of water stress on the matter accumulation and distribution of winter wheat were reviewed.

方法］采用盆栽方法，通过设置不同的土壤水分条件，从器官水平考察水分条件对冬小麦物质积累、分配等的影响，并建立产量和耗水量的关系方程。

Dead branches or knots in different sizes of tree was studied and different branch development phases of growth,suppression,death and self-pruning was analyzed to evaluate the effect that knot size and distribution impact on timber quality.Branch and knot dynamic models were developed using stand and tree variables.Based on multipleunit stepwise regression method, the individual tree growth model was established using forest and crown factors as the variable. The best taper equation model of Larix olgensis was bucking data of 130 sample trees selected in the studied area.

本研究以不同年龄、不同密度及不同立地条件的落叶松人工林作为研究对象，基于19块标准地中95株标准木的树干解析、枝解析及节子剖析数据，揭示了不同林分条件下林木的枝条数量及在树冠内的空间分布格局、生长发育规律；研究了不同大小树木的死枝和节子大小及其变化规律，分析了枝条的生长、被压、寿命和自然整枝过程，评价了节子大小和分布对木材质量的影响；以林分变量、林木变量和着枝深度等为自变量建立枝条生长和节子大小的动态预测模型；选择林分因子和林木的树冠因子作为竞争因子，用多元逐步回归的方法建立落叶松人工林与距离无关的单木生长模型，并根据研究地区选取的130株造材样木数据，建立了落叶松人工林最佳削度方程。

Using 〓-theory in partial differential equation,I find out a sufficient condition on A,B,under which ican be extended to andreplaced by a self-adjoint operator.

利用偏微分方程中的〓理论，我对算子A和B找到了一个充分条件，在该条件下，i可以扩张成一个自共轭算子。

In summary, various key experimental conditions in electron acoustic imaging of ferroelectric domains were systematically studied. The optimum experimental conditions to obtain EAI of domains with good quality and the factors important to image analysis have been presented. The piezoelectric vibrator model and calculation of motion equation are helpful for explaining the imaging mechanism and related experimental phenomena. The sample holder with variable electric field was designed. The domain movement of BaTiO〓 ceramics and crystal under lateral and longitudinal applied electric field and domain movement of PMN-PT crystal under longitudinal poling electric field were observed. The application of SEAM on revealing of ferroelastic domains, imaging of residual stress distribution in ceramics coatings and around the pores on the surface of ferroelectric ceramic composite have been reported respectively. All these works enriched the study of electron acoustic imaging and extended the application of SEAM in the characterization of materials.

综上所述，本文系统地研究了各项关键实验条件对电畴电声成像的影响，指出了获得最佳畴结构电声像的条件和成像分析中应当考虑的各种影响因素；提出了解释电畴电声成像的压电振子模型，在此基础上推导并求解了压电振子运动方程，并对一些实验现象作出了解释；成功地设计了可变电场的样品台，观察了BaTiO〓陶瓷和晶体在横向电场作用下的畴运动，PMN-PT晶体在纵向极化电场作用下的畴运动；探索了电声显微镜在铁弹畴成像，陶瓷涂层应力观察，陶瓷自然表面气孔周围应力成像的应用，这些研究，丰富了电声成像的学术内涵，拓展了电声显微镜的应用领域。

A novel numerical boundary condition is presented in the paper, which is compared with the method of measured equation of invariance on computational time and memory requirement. It is demonstrated that the new boundary condition is of benefit both on the time and memory, therefore is an efficient method for computation of electrically large dimension objects.

本文给出了一种新的吸收边界条件，并与不变性测试方程法、矩量法在计算时间、存贮空间方面进行比较，结果表明运用这个条件在计算时间和存贮空间上都具有优点，是计算电大尺寸媒质柱体电磁散射特性的一种有效手段。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新