查询词典 equilibrium condition

Moreover, we also obtain equilibrium rather than oly free-disposal equilibrium under an additional standard condition.

此外，我们在增加一个标准条件下证得均衡存在，而不仅是自由处置均衡的存在性。

The equilibrium equations under local coordinate are obtained through Euler angle transformation. In the modeling of warp, otter door is treated as the end node. The equilibrium equation of otter door is established through d\'Alembert\'s principle. It provides the end boundary condition of the dynamic model of warp.

通过欧拉角的转换关系获得了曳纲微元段矢量动力平衡方程在曳纲局部坐标系下的方程组形式；在建模过程中，将网板视为曳纲的尾部节点，根据达朗伯原理建立了网板的平衡方程，并将其作为曳纲模型的尾部边界条件。

For the infective subsystem, we obtain the existent condition of the subsystem equilibrium point and the uniqueness of the positive equilibrium point by the no infectious subsystem's conclusion and the image analysis. The partial stability of the subsystem equilibrium points is discussed by analyzing eigenvalue. The condition that the system has no limit cycle is obtained by the Dulac function.

对染病子系统，利用无病子系统所得结论及图像分析法，得到了系统平衡点的存在条件，正平衡点的存在唯一性；利用特征根方法判断了系统平衡点的局部稳定性；利用Dulac函数得到了系统不存在极限环的条件；利用极限方程理论得到了系统疾病消除平衡点和地方病平衡点的全局稳定性。

From these researches as above, this paper found a new method to analysis salty soil road engineering properties by phase equilibrium theory, which provides a new angle of analysis on salty soil properties, experiment and engineering practice in these ways as follows:(1) Analysis the disadvantage of traditional salty soil experiment;(2) Analysis the disadvantage of current salty soil definition by phase equilibrium theory, and gives the chart of distinguish salty soil by the condition of hydrography and climate change;(3) Analysis the mechanics of subgrade frost boiling based on the change rule of liquid content;(4) Based on the change rule of ingredients content and volume in salty soil, analysis the mechanics of subgrade salt heaving and the restraining method by adding sodium chloride.

通过以上研究，本文初步建立了以相平衡理论为核心的盐渍土路用工程性质分析方法，该方法对盐渍土工程性质的理论分析、试验研究以及工程实践提供了新的研究思路与方法，具体体现在：(1)分析了传统的盐渍土试验存在的缺陷；(2)分析了现行盐渍土定义的不足，并以相平衡理论为基础，结合水文、气候条件的变化给出了判别盐渍土的诺谟图；(3)分析了盐渍土盐溶液含量的变化规律，并从盐渍土含液量变化规律出发，分析了盐渍土路基较非盐渍土路基翻浆严重的机理；(4)分析了盐渍土各固相含量及其体积的相变规律，并在此基础上分析盐渍土路基的盐胀机理，以及采用添加氯化钠来抑止硫酸盐盐渍土的盐胀机理

By applying game theory and contraction mapping theorem, a sufficient condition for the existence and uniqueness of Nash equilibrium in a multi-person non-cooperative game is proposed. Another implication in the sense of game theory is presented for the stability condition of supply-demand equilibrium in traditional economic theory. It can demonstrate the stability condition for supply-demand equilibrium in economic theory. So the stable supply-demand equilibrium of cobweb model in economics is in fact equivalent to the Nash equilibrium in game theory. That is a brand-new explanation for the conclusion in traditional economic theory.

应用博弈论中的有关理论与压缩映象定理寻求一类多ISP非合作对策纳什均衡存在、唯一的充分条件，给出了传统经济理论中供求均衡稳定性条件的对策论意义，证明了经济理论中的供求均衡稳定性条件；说明了经济学中蛛网模型的稳定供求均衡实际上就是对策理论中的纳什均衡，从而给出了传统经济理论中关于这一结论的新解释。

According to the plane cross section assumption, configuration of a rod is expressed as a history of the cross section with arc coordinate. A special solution which stands for equilibrium in straight line state is obtained from differential equilibrium equation. Linear perturbation equation is derived and its general solution is obtained in which the integral constants are determined by constrained conditions at two ends of the rod. The condition of existence of non zero solution of the integral constants gives to the Greenhill formula of exact elastic rod model, which shows that the boundary of stable area is a closed curve and of symmetry, and inference of shearable and extensible to stability of the rod is depend on three factors: difference between flexibility of shear and extension of a section of the rod, bending stiffness and the length of the rod.

基于平面截面假定，弹性杆的位形表达为截面的弧坐标历程，根据平衡微分方程得到了两端受力螺旋作用时的直线平衡特解，导出了线性化扰动方程及其通解，积分常数根据两端铰支时的边界条件确定，并根据其存在非零解的条件得到弹性直杆精确模型的Greenhill公式，表明稳定域为一对称的封闭区域，拉/压和剪切对稳定性的影响取决于：拉/压柔度与剪切柔度之差，抗弯刚度和杆长这三个因素

By using the calculated results of EET theory, the local valence electron structure elements of residual chemical bonds of Al-Si and Mg-Al alloy melts, that is, the residual bond structure models, were established. From the viewpoint of effect of pressure on melt structure, the essential reason of deviation phenomenon for maximum solution point and eutectic point in thermodynamics equilibrium phase diagram was analysed. Moreover, under pressure condition, the change of thermodynamics equilibrium phase diagram was macroscopic reflection of microstructure change of alloy melt.

运用固体与分子经验电子理论的计算结果分别建立Al-Si、Mg-Al两种合金熔体的剩余化学键的局域价电子结构基本单元即残余键结构模型，从压力对熔体结构作用的层面，分析热力学平衡相图中最大固溶点和共晶点发生偏移的本质原因，并指出压力作用下热力学平衡相图的变化是合金熔体微观结构信息变化的宏观反映。

By combinatory counting process to enumerate data of work condition of each generators, thus makes sure the searching and solver in optimal condition.3. Set up the power equilibrium equation and flow equilibrium equation according to the slack variable. It is not necessary to adjust the optimization any more and guarantee the optimal precision of the solution.4. Digitalize the composite characteristic curve, such as the digital input and accurate extraction of data during the performing.The above mentioned is an expanding for optimal performing of hydropower station in theory. It has good engineering applicability.

在水轮机专业领域和水电站运行领域主要成果是：(1)用人工智能的方法解决了水电站机组间负荷动态最优调度问题，且用数学方法严格证明了解的最优性；(2)用组合计数对并联机组的每个组合工况进行无遗漏枚举，从而保证搜索策略的作用范围和解的最优性；(3)利用松弛变量建立了功率平衡方程和流量平衡方程，使优化结果不再需要二次调节，保证了解的优化精度；(4)综合特性曲线的数字化，包括曲线的数字化输入和在程序运行过程中对曲线信息的精确提取。

Under such a solidification condition that the growth rate is low and the temperature gradient ahead of the solidi fication front is steep, a large amount of α-Al nuclei can be produced by peritectic reaction, during which only metastable Al〓Zr particles or very fine equilibrium Al〓Zr particles rather than larger equilibrium Al〓Zr partiles are involved.

在低的生长速度和高的界面前沿温度梯度条件下，结晶前沿Al〓Zr粒子与液态铝发生包晶反应（只涉及亚稳Al〓Zr或尺寸极小的平衡Al〓Zr，而不涉及尺寸较大的平衡Al〓Zr）产生大量α晶胚，α晶胚呈球面生长，最终形成等轴非枝晶形态。

The results show that the loads from landing gear to aircraft body are obviously reduced by using active control technology. The motion of aircraft CG and the variation of pitch angle are more stable, and the strut load and strut stroke of landing gear can be maintained in a range of static equilibrium condition.

计算结果表明，主动控制技术可明显降低起落架传给机身的载荷，隔离由地面产生的振动，使飞机重心运动和俯仰角变化更加平稳，使起落架支柱载荷和行程位移尽量保持在静态平衡状态的一定范围之内。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。