查询词典 condition of equilibrium

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。

This way of looking at equilibrium explains why the equilibrium condition for the goods market is called the IS relation, for Investment equals Saving.

这一考虑均衡的方法解释了为什么物品市场的均衡条件被称作IS关系。

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

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。

Based on the radical conditions of genetic equilibrium, the principle of linkage equilibrium condition and process, for two gene loci is introduced by precise mathematical reasoning.

由于许多教科书中关于连锁平衡的介绍，多是引用结论或是推导不太严谨，使学生在学习群体遗传学时对理解连锁平衡的原理感到困难。

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。

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。

In the theoretical investigation, we calculate the static load-deflection curves and the longitudinal forces transmission for a specified angle difference between the fixed clamp and the moving clamp. To study the stability of the equilibrium configuration, we superpose the equilibrium configuration with a small perturbation and calculate the natural frequencies of the deformed elastica. In addition, the condition where two ends with identical angles are introduced will be researched.

在理论分析方面，针对几种不同的固定夹持端与滑动夹持端之夹角，计算出静态的受力-变形曲线以及轴向力传递关系；为了探讨平衡位置的稳定性，在平衡位置加上微小的简谐扰动，然后计算出弹性板条受力变形后的自然频率；此外，对於两端角度相同的情形，将有更深入的研究。

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。

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜，使中国顾客比任何国家的人消费得更多。