临界点

Our methods are based on the the surjection of maximal monotone operators and the critical point theorem of convex functionals.

本文主要利用极大单调算子满射原理和凸泛函临界点理论对半线性抛物型方程在各种控制下的能控性进行了研究。

Based on the surjection of maximal monotone operators, we prove that some semilinear heat equations with weak Lipschitz nonlinear terms are exactly controllable by L〓 0, T: H〓(Ω control; Based on the critical point theorem of coercive convex functionals, we prove that some parabolic equations with Lipschitz nonlinear terms are globally approximately controllable and finite-dimensional exactly controllable by controls acting on mobile supports, and finally, we extend the results to parabolic equations in R〓.

首先利用极大单调算子的满射原理证明了半线性热方程在较弱Lipschitz条件下可通过L〓0.T；H〓(Ω控制实现精确能控。然后通过构造强制凸泛函并利用其临界点理论证明了带Lipschitz非线性项的抛物型方程可通过作用在在移动支集上的控制来实现整体近似能控与有限维精确能控，最后将整体近似能控与有限维精确能控结论推广到无界区域R〓上。

However, if somebody already has cardiovascular disease, then it might just tip them over the edge and trigger a heart attack.

但如果有的人本来就有心血管疾病，那这就可能把他们逼到临界点，导致心脏病发作。

But he said: If somebody already has cardiovascular disease then it might just tip them over the edge and trigger a heart attack.

但他说："如果有的人本来就有心血管疾病，那这就可能把他们逼到临界点，导致心脏病发作。"

My question would be, what is the tipping point for startups to succeed in general?

我的问题是，什么是临界点创业成功的一般？

The p-elastica, the critical point for the total polynomial curvature functional on those curves with a fixed length satisfying given boundary conditions, is discussed.

主要研究了在具有固定长度、且满足给定边界条件的曲线上定义的总多项式曲率泛函的临界点，即所谓p-弹性曲线。

The method was also applied to the calculation of the coexistence envelope fornon-polar nitrogen and oxygen from the vicinity of the triple point to close to thecritical point.

对真实气体 N2、O2从接近三相点到临界点附近的汽液相平衡模拟得到了与实验数据非常吻合的结果。

Based on the principle of modified corresponding state,an equation to calculate the thermal pressure coefficient s of liquids over a wide temperature range from the triple point to the critical point was established, which has only a molecular size-dependent parameter.

根据改良的对应状态原理，建立了一个新的液体热压力系数计算公式，可适用于从三相点到临界点的宽阔温度范围。

At temperatures and pressures above the triple point and below the critical point, carbon dioxide liquid with overlying vapor may exist in equilibrium within a closed vessel.

在密封的容器中，当温度和压力大于其三态点，但是低于其临界点时，二氧化碳液体以及其上部漂浮着的二氧化碳蒸汽将处于一种平衡状态。

The results showed that there existed variation among eucalypt families in wood physical-mechanical properties and wood chemistry. There were significant differences among E.pellita families、E.grandis families and E.urophylla譋.grandis clones in wood colors as well as between Strains and within trees.The variation of the surface wetability of wood between E.grandis families and E.urophylla譋.grandis clones were significant.Even in the same families level or clones level,there still existed the same regulation. The degree of collapse of eucalypt had a large relation in the amount of tylosis in vessel and vestured pits on the cell wall of vessel. The more rich tylosis and vestured pits in vessels,the more probability to occur collapse for eucalypt.The biggest moment collapse was probably the critical point of the drying degrade.During the fomulation of drying technology,it is necessary to adopt moderate condition to make the vessels which had formed the biggest moment collapse at the biggest moment collapse resume,especially to prevent the permanent set.At the normal temperature level,the main factors which influenced residual collapse were the contents of ray parenchyma and axial parenchyma .Nearly all the cells joined the course of forming the moment collapse and biggest moment collapse.Interval drying was fit for eucalypt plantation which was easier to make collapse.

研究表明：桉树不同家系间木材物理力学性质和化学组成存在差异；粗皮桉家系间、巨桉家系间、尾巨桉无性系间材色存在显著差异，株间、株内木材材色存在变异；桉树木材表面润湿性在巨桉家系间、尾巨桉无性系间存在着显著差异，在同一家系或同一无性系中，株间和株内也存在着相同的变化规律；桉材皱缩程度与其导管中侵填体的多少和导管壁上纹孔具有的附物多少密切相关，侵填体含物越丰富，纹孔附物越多，桉材越容易皱缩；最大瞬间皱缩是能产生更大干燥降等的临界点，在制定干燥工艺时，必须在最大瞬间皱缩发生时，采用温和条件，使已产生最大瞬间皱缩的细胞尽可能多的恢复，尤其不能使其产生永久变定；在常温条件下，影响残余皱缩的主要因子是射线薄壁细胞和轴向薄壁细胞含量；而对于瞬间皱缩和最大瞬间皱缩，几乎所有细胞都参与它们的形成过程；对于易皱缩的桉树木材，间歇干燥是最有前途的干燥方法。

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。