临界

In chapter 5,we persue the ctiticality and complexity of thecritical sets.We describe carefully the Whitney's example in 1935.Meantime,we introduce some rsults about the critical sets and thecritical value sets,in particular,on W-sets and C-sets.And usingthe Lebesgue density theorem and the Vitali covering lemma weprove a rank zero theorem with Hausdorff measures.Finally wegive some examples to prove our results are sharp in the sense thatthe numbers k,m,n,s,〓,etc.,in the hypothesescan not be improved.

第五章研究临界点集的临界性和复杂性，并详细地描绘了Whit-ney在1935年的例子，同时也介绍了关于临界点集和临界值集的一些结果，尤其是W-集和C-集的一些结果，并利用Lebesgue密度定理和Vitali覆盖引理证明了一个与Hausdorff测度相关的秩零定理，最后举例证明我们的结果在定理的假设中的那些数字如k，m，n，s，a，r+/等不能被改进的情况下是最佳的。

The particle density criterion and the temperature criterion of instability for the imperfect Fermi gas with weakly attractive interaction are given, and the dependance of the critical density of particles on the temperature...

给出了不稳定性的粒子数密度判据和温度判据，就不同逸度情况下临界粒子数密度的具体表达结果以及温度、粒子质量和吸引相互作用对临界粒子数密度的影响进行了讨论。

In order to study the stability of non-Newtonian fluid and its flow pattern discrimination method,the integral stability theory and local stability theory are applied to the concentric annulus flowing of plastic fluid and power-law fluid,then a relevant stability parameter expression of discriminating flow pattern is derived and set up in the paper.

针对非牛顿流体的稳定性问题及其流态判别的研究，将整体稳定性理论及局部稳定性理论应用于塑性流体和幂律流体在同心环空的流动中，建立和推导出相对应的判别流动状态的稳定性参数表达式。这些参数的临界值与牛顿液体流态准数雷诺数的临界值，同样具有与液体流变性无关的特点。

So we put forward fracture criterion of the deviator strain energy density factor and fracture criterion of the deviator strain energy for the mixed-mode crack propagation, simplifies as criterion and criterion respectively.

作为应用举例，它们成功地预测了复合型裂纹的启裂角和临界荷载，将其与现有的理论结果和实验数据进行比较，其结果是在预测裂纹启裂角方面优于Sih的S准则，而预测的临界荷载偏保守。

The height of coal seam, the dispensability and compressibility of broken roof gangue, and the size of the broken block of PKS are the main evaluating factors of water-flowing fracture, which are concerned with the critical distance between PKS location and mining seam.

对导水裂隙带高度产生影响的主关键层与开采煤层临界距离主要与煤层采高、顶板碎胀压实特性、主关键层破断块度等因素有关，可以粗略按7~10倍煤层采高计算该临界距离。

The stress-strain curves of Cu-Zn-Al alloys at different temperatures have been plotted on the tensile machine with the aid of electrometry. The main results were as follows: 1. When specimens were deformed within the range of M_s and M_d, the critical stress for inducing martensitic transformation increased with the temperature, and there existed a linear relationship between them. 2. When specimens were deformed above Af, complete pseudoelasticity might be obtained theoretically, which might be damaged, h...

在拉力试验机上用电测法测绘了Cu-Zn-Al合金在马氏体相变点上下各温度的σ-ε曲线，所得主要结果如下：(1)试样在M_s与M_d之间加载，随着温度升高，诱发马氏体相变所需临界应力增大，且加载温度与临界应力之间存在着线性关系；(2)在A_f点以上加载，理论上可获得完全的伪弹性，但加载温度过高或应变量过大，均会损害伪弹性；(3)试样在M_s点上下温度区域变形，得到的伪弹性回复和形状记忆回复之和在80%以上，但在M_s点附近总回复量出现一极小值，且伪弹性回复在M_f点以下又有所回升。

Based on different mist evaporation processes,mist movements in smoke and flame with none aerification,partial aerification and total aerification were studied,leading to mist endotherm rate,prediction model for critical mist flow rate and the criterion between defferent aerification processes.

根据雾滴吸热蒸发状态的不同，分别分析了烟气层和火焰区内无汽化、部分汽化和完全汽化时的雾滴运动情况，得出了细水雾吸热速率，建立了临界雾流率预测模型，并给出了不同汽化状态之间的临界判据。

The critical rate equation of the particles engulfment is drawn on the bases of thermodynamic conditions and relative movement of the particles against the interface.

基于两相流原理，给出了粒子进入熔体的临界条件，定量描述了考虑粒子浓度时粒子在熔体中的运动速度，建立了粒子俘获/推移的热力学条件，并在热力学条件及粒子相对于固-液界面运动的基础上，建立了粒子俘获的临界速度判据。

Since the aldehyde groups can be reversibly converted into enol groups depending on acidity and alkalescence of environment, the inter-and intra-molecule interaction of CMDA can be adjusted by changing the pH of medium, as a result, the self-assembly behavior of CMDA may be altered.

结果表明，CMDA在水中自组装形成纳米自聚集体，在pH=4.0和pH=10.83溶液中CMDA的临界聚集量浓度值分别为0.002mg／mL和0.005mg／mL，比中性环境中的临界聚集量浓度（0.02mg／mL）低了1个数量级。3种pH条件下自聚集体溶液表面张力具有共同的变化趋势，但在酸性与碱性条件下具有更好的表面活性。

Rapidly creating super criticality, either by shooting one piece of subcritical material into another, or compressing subcritical mass fissionable materials together to accomplish this.

超临界快速制造，已由拍摄成另一块临界物质、压缩裂变材料临界质量或一起做到这一点。丰富的材料

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。