查询词典 condition of equilibrium

Seeing that many researchers devoted themselves to the study of catenary method in recent years. Based on the standard curve of the catenary, the catenary algorithm of two-end-fixed cableway was studied in this paper, which established state coordinate equation and which used the numerical value method to analyze non-linear equations under the condition offeree equilibrium and condition of deformation compatibility.

为此，近年来不少学者致力于单跨架空索道悬链线理论的研究，本文在此基础上，从索道悬链线的标准线形出发，通过建立状态协调方程，来研究架空索道的悬链线精确算法，计算上采用满足力平衡和变形相容条件为基础的数值分析方法来求解非线性方程组。

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 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。

In the part of empirical analysis of Chinese IPO first-day return, the difference between existing study and this study is that we use principal components analysis to extract from five factors to construct investors'sentiment index, add it to controled varibles, on which we examine the influence of offering mechanism on IPO first-day return. Moreover, we gather statistics and compare the IPO holding return for lockup period between fixed-price-class offering method and bookbuilding-class offering method, as well as price range between Chinese A-share market and Hongkong stock market, which prvide comprehensive evidence to appraise Chinese IPO bookbuilding mechanism. 2. Compare to the existing literatures which consider discount or allocation, incentive allocation and discount are considered at the same time in optimal mechanism design in this dissertation, and the offering bottom price is introduced to the price range. We investigate the relationship between price range and allocation quantity, and obtain the optimal price range and allocation strategy so that the advantages of independent allocation are reflected. On the other hand, the disadvantages of independent allocation are reflected in the manipulation in case of no restriction on IPO allocation. To distinguish from the existing literatures, bookbuilding mechanism is introduced to the model. We study the allocation strategy adopted by the underwriter in the pooling equilibrium of manipulation. In addition, we analyze the incentive compatibility conditions to which the existence of pooling equilibrium should satisfy and examine some factors'impact on the existence of manipulation.3. In bookbuilding without independent IPO allocation, Chinese realistic IPO background is considered and the condition of bookbuilding and fixed-price hybrid offering is added. Divide bookbuilding and fixed-price hybrid offering into sequential hybrid and simultaneous hybrid, and point out that the key points of subscription strategy in the two kinds of hybrid are different. Through modeling and simulation we obtain the impact of institutional investors'subscription strategy on bookbuilding without independent IPO allocation, which fill the gap in related research. Moreover, in the part of IPO bookbuilding with over-allotment option, the pricing strategy is divided into hot-IPO strategy and weak-IPO strategy. Take into account the procedure of Chinese IPO with over-allotment option, it presents how the underwriter determines the pricing strategy and what effect it brings to offering price and issue size through modeling and simulation. Therefore, it is instructive as a complement to existing literatures.

此外，对我国A股市场询价发行方式与固定价格发行方式下的IPO锁定期到期时持有收益率、以及我国A股市场与香港市场的询价发行价格区间进行了统计比较，为评价我国IPO市场的询价发行提供了比较全面的依据。2、相比已有文献仅考虑折价和分配中的一种激励措施，本论文在有自主配售权下的机制设计中并用了分配与折价两种激励措施，并且在价格区间的制定中引入发行底价，考察了价格区间与分配量之间的关系，得到最优的价格区间和分配策略，从中体现自主分配权的优点；在有自主分配权下的操纵行为研究中则体现了自主配售权的弊端，与已有文献不同的是，在模型中引入了累计投标询价机制，研究了承销商在混同均衡操纵中采取的分配策略，并对操纵存在的条件进行分析讨论，得出各个因素对混同均衡操纵存在的影响。3、在无自主分配权下的询价发行中，充分考虑了我国实际应用的背景，加入了与固定价格发售混合的条件，并将询价与固定价格混合发行分为序贯与同步两种方式，指出机构投资者在两种情况下申购策略的侧重点各有不同，通过对序贯混合发行方式下的网下累计投标策略以及同步混合发行方式下的资金分配策略的模型建立和数值仿真，考察了机构投资者申购策略对无自主分配权下的询价发行的影响，填补了相关研究文献的空白；在包含超额配售选择权的询价发行中，将发行定价策略分为热销策略和弱销策略，在考虑了我国含超额配售选择权的发行流程下，通过建模以及数值仿真得出承销商会对发行定价策略作出怎样的选取，进而会对新股发行价格、发售数量产生怎样的影响，对目前相关研究的缺乏做出了有益的补充。

For tightening and receding of wefts, the conditions under which wefts recede from the back beam and move forward towards the front beam relative to warps are developed by combining equilibrium condition of forces of warp with critical slip condition of weft.

针对纬纱的打紧与回退问题，将经纱的力平衡条件与纬纱的临界打滑条件相结合，建立了纬纱相对于经纱向后梁一侧回退及向胸梁一侧前移的条件。

The problems of the heat transfer equation of cloud drop growth were analyzed from chemical potential and principle of phase equilibrium of multi-component system. It was pointed out that Clapeyron equation was the result gained under the condition of rigid phase equilibrium. It only shows the linear relation between steam press and temperature at saturation state, and does not show that there is any thermodynamic process which can meet this equation.

基于多元体系化学势和相平衡原理，分析了云滴长大热传导方程存在的问题，指出克拉伯龙方程是严格相平衡条件下推导出的结果，仅表示饱和状态下蒸汽压与温度之间的线性关系，并不表示存在满足克拉伯龙方程的热力学过程。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。