查询词典 stability number

However, as we know, the stability condition obtained by method of linear stability is only necessary condition for stability, while subcritical instability cannot be excluded.

Xu[2]用推广的能量方法对该问题的非线性进行了研究，通过定义一个能量泛函，给出当参数时静止状态非线性稳定的充分条件。

Meanwhile,we establishψfunctional stability which is more general than the classical exponential stability and polynomially stability.

我们通过对几类方程的讨论，将不同的渐近稳定性借助于&ψ函数&归结为一种&ψ函数稳定性&。

The results show that the increasing Marangoni number will lead to more nonlinear distribution of temperature field, but streamfunction of the cell center; vorticity on the wall and peak value of velocity diminish first, then increase, finally lose stability. The thermocapillary convection in the whole liquid zone appears to get stronger along with the augmentation of Prantal number. The effect of increasing of Biot number on temperature and flow fields is not obvious although the convection is strengthened a little. As increasing the aspect ratio A, thermocapillary convection induced by temperature gradient and liquid viscosity becomes stronger.

结果表明：温度场的非线性分布随着Ma数的增大而加剧，但对流涡胞中心流函数、壁面涡量和轴向、径向速度峰值并不象温度场随着Ma数的增大而单调增大，而是先减小，然后增大，最后失稳，表明Ma数对热毛细对流的影响比较复杂，针对不同的物理模型，会导致完全不同的流态；Pr数愈大，流体的热扩散能力在粘性扩散与热扩散能力之比中愈占支配地位，当Ma数一定时，热毛细对流随Pr数的增大在整个液体区域内有增强的趋势；Bi数增大，热毛细对流有所增强，但不甚明显；A的增大使得由温度梯度和流体粘性诱导的热毛细对流随之增强。

Combining the performance evaluation (activity, selectivity and stability) and the characterization of the catalysts (XRD, TPD, FTIR and the pore structure measure), it can be concluded that :(1)The activity of modified β is higher than MCM-22, but the selectivity of ethylbenzene is lower about 3% than that of MCM-22;(2)The mounts of diethylbenzene and the other by-products are higher 1.7 times and 1.5 times than these of MCM-22 respectively;(3)The catalytic performance of zeolite mixture is nearly equal to modified β, but the selectivity of ethylbenzene is higher about 0.5% than that of modified β;(4)The catalytic activity of zeolite is mainly correlated with the number of acid sites, strength and distribution, and the distribution of products is determined by the binding energy of ethylbenzene and the pore structure, while the stability of catalyst is affected by the amount of poly-ring aromatic alkylate and the pore structure.

以性能评价和特性表征（XRD、TPD、FTIR和孔结构测定）相结合的方式，对上述三种催化剂性能比较的结果表明：（1）改性的活性明显高于MCM-22，但乙苯选择性却低于MCM-22绝对差约3%；（2）改性(上二乙苯和其他副产物的生成量分别约为MCM-22上对应值的1.7和1.5倍左右；（3）混合型催化剂的性能与改性相仿，但乙苯选择性提高0.5%左右；（4）对乙苯合成，沸石催化剂的活性主要取决于其B酸中心数、酸强度及酸分布，产物分布则取决于催化剂表面的乙苯脱附能垒值和孔道结构，而稠环芳烃的生成量和催化剂孔道结构是影响催化剂稳定性的主要因素。

Epidemic ; mathematical model ; threshold ; basic reproductive number ; nonlinearity ; high dimensional differential system ; global stability ; orbital asymptotical stability

流行病；数学模型；阈值；基本再生数；非线性；高维自治微分系统；全局稳定性；轨道渐近稳定

Analysis with numerical simulation shows that the equilibrium may not change its stability at all or changes its stability up to a finite number of times.

研究表明，系统在不同参数控制下，平衡点的稳定性可以不发生改变，也可以发生多次稳定性切换。

The paper through the mechanism which produces to the asphalt road surface water harm carries on the induction to summarize, as well as the different type bituminous mixture water stability has carried on a series of contrasts experiment to several kind of different aggregates and the asphalt adherency, has analyzed the aggregate and the asphalt adherency and the bituminous mixture water stability; Meanwhile moves the water action mechanism take the pavement structure in as the key point, in the basis room experiments to the design half rigid base bituminous mixture test sample carries on washes out the experiment, the observation test sample and washes out when the number of times increase along with the time variation the basic unit wash load situation, has analyzed the water to the bituminous pavement various structures level damage rule; To immerses under the condition using the ANASYS finite element software the bituminous pavement structure level the stress to carry on the analysis computation, and analyzed the bituminous pavement according to the computed result to produce the unboiled water harm the rule, further to understand the structure level produced the unboiled water harm the rule.

本论文通过对沥青路面水损害产生的机理进行归纳总结，对几种不同集料和沥青的粘附性以及采用不同抗剥落措施的沥青混合料的水稳性进行了一系列对比试验，分析了集料与沥青的粘附性及沥青混合料的水稳定性，并对水稳性试验进行了评价；同时以路面结构中的动水作用机理为重点，依据室内试验对设计的半刚性基层沥青混合料组合试件进行冲刷试验，观察试件随时间变化和冲刷次数增加时基层的冲刷量情况，分析了水对沥青路面结构层的损坏规律；利用ANSYS有限元软件对浸水前后沥青路面层底应力进行分析计算，并根据计算结果分析了沥青路面产生水损害的规律，进一步了解结构层产生水损害的规律。

Research the effect of different watering period and the number on the yield and quality of glutenous wheat, the results showed: Watering times and period is directly related to the wheat yield and quality ,with the decrease of watering times, yield showed a downward trend, watering 5 times in Whole growth period, wheat yield is highest (7593.0kg/hm2), and it is lowest(7353.0 kg/hm2) with no watering in Wheat jointing period .watering 5 times in Whole growth period, Grain protein content (13.4%) and wet gluten content (33.6%) is minimum, Flour stability time is shortest (8.7 min),watering 2 times in whole growth period, protein content (16.3%) and wet gluten content (35.5%), stability time (9.6min) and so on, these comprehensive quality indicators are better.

经过不同浇水时期及浇水次数对强筋小麦产量和品质的影响研究，研究结果表明：浇水时期和浇水次数对小麦产量和品质有直接关系，随浇水次数的减少产量呈下降的趋势，全生育期浇5水产量最高7593.0kg/hm2，拔节期不浇水产量最低7353.0kg/hm2。

The definition of the absolute value for a fuzzy number is obtained.Furthermore,a lot ofproblems,such as absolute integrability,bounded variation and absolute continuity,arepresented and discussed.The representation theorem of the absolute values of fuzzy num-bers is established.It plays an important role in discussing the problems conceming theabsolute value.The relation between the absolute integrability and integrabili-ty is discussed,and the following result is obtained:aintegrable fuzzy-number-valued function is absolutely integrable iff it is integrable.The relation between theabsolute integrability and the absolute continuity of the primitive for fuzzy-number-valuedfunctions is dealt with.It is also pointed out that a fuzzy number valued function is ab-solutelyintegrable if and only if its integral primitive is fuzzy absolutely continuous.

提出了模糊数绝对值的概念并讨论了与绝对值相关的一系列问题，如绝对可积性、有界变差性、绝对连续性等，给出了模糊数绝对值的定义以及表示定理，该表示定理在涉及绝对值问题的讨论中起非常重要的作用；讨论了绝对可积与可积之间的关系，得到了结论：可积的模糊数值函数绝对可积的充要条件是该模糊数值函数可积；给出了模糊数值函数绝对可积与其积分原函数绝对连续性之间的关系，指出模糊数值函数绝对可积的充要条件是其原函数模糊绝对连续。

The findings show how the students understanding the concept of complex number and other related concepts:(1) The concepts of complex number is understood from the perspective of algebraic expression;(2) The concepts of complex number is understood from the perspective of geometry;(3) The concepts of complex number is understood comprehensively.

结果显示，学生对复数及其一些概念的理解呈现三个侧面：（1）代数式子意义上理解的复数；（2）几何意义上理解的复数；（3）整体意义上理解的复数。

The production moved off-Broadway to New York City, where she won the Joseph E. Calloway award for her performance, and was profiled in American Theater Magazine as one of ten young theater artists to watch.

生产提出过百老汇的新的纽约市，在那里她赢得了约瑟夫calloway奖，她的表现，并于异型在美国的战区杂志之一， 10战区的青年艺术家观赏。

It's a risk tradeoff, and I believe that adding test support code usually wins.

这是一个风险的权衡，我相信添加测试代码通常会占上风。