查询词典 critical

Firstly, the eigenvalue problem of a class of second order elliptic equation with critical potential and indefinite weights is considered. Then, using critical point theory, Trudinger-Moser inequality and the properties of the first eigenvalue, we prove the existence of a nontrivial solution for a class of nonlinear elliptic with critical potentialand indefinite weights in R~2. Secondly, we prove the existence of nontrivial solutions for a class of subcritical and critical elliptic systems with indefinite part in R~2 byusing a generalized linking theorem, Trudinger-Moser inequality and concentration-compactness principle.5. The existence of at least three weak solutions for discrete boundary value problem is established by using a three critical point theorem introduced by Ricceri.

首先，讨论了R~2中一类带不定权且含临界位势的二阶椭圆型方程的特征值问题，并借此特征值问题的第一特征值性质，利用山路引理及Trudinger-Moser不等式，证明了R~2中一类带不定权且含临界位势的非线性椭圆型方程非平凡解的存在性；其次，利用广义环绕定理，Trudinger-Moser不等式及集中列紧原理，得到了R~2上一类具有强不定部分的半线性椭圆型方程组在非线性项分别为次临界增长和临界增长情形下非平凡解的存在性。

The light scattering data were well described by the crossover model proposed by Anisimov and Sengers, and the effective critical exponentsγandυshowed nonmonotonic crossovers from the 3D-Ising values to the mean-field ones as the temperature departed from the critical point. The coexistence curves exhibited that the values of effective critical exponents for the order parameter of the refractive-index decreased as the distance from the critical point increased, however after the regular terms were subtracted, the nonmonotonic crossovers from Ising to mean-field critical behavior were exhibited. The influence of sodium bromide on the trend of the crossover was small.

静态光散射数据符合Sengers和Anismov等提出的临界跨接理论，关联长度和渗透压缩系数的有效临界指数存在非单调跨接，盐对于跨接程度的影响不明显；共存曲线研究发现，随着偏离临界温度，折射率的有效临界指数逐渐减小，但是当与共存曲线相关的正规项的影响被排除以后，体系表现出从3D-Ising到平均场行为的非单调跨接，盐对于跨接程度的影响不明显。

The physical character of the super-critical hydrogen in the regenerative cooling channel is studied : started with the physical character of the super-critical hydrogen , using the method of least square , figuring out the state equation which is applicable to the state from liquid to the super-critical in the super-critical pressure , the constrained convection and the heat transfer in the super-critical channel are simulated using the equation , the results of the simulation are identical with the experiment in the same condition .

对再生冷却通道内的超临界氢的物性进行了研究：从超临界氢物性的实验结果入手，用最小二乘法拟合出适用于超临界压力下氢由液态过渡到超临界态的状态方程，并利用该方程对超临界氢管内强迫对流换热进行了数值仿真，仿真结果与相同条件下实验结果相一致。

The saturated liquid densities of HFC227ea and the vapor-liquid coexistence curve were measured, the critical temperature and critical density were determined by the critical opalescence phenomenon, and then the critical pressure was determined by vapor pressure equation.

测量了HFC-227ea饱和液体密度和临界区的气液共存线，确定了HFC-227ea的临界温度、临界压力、临界密度；推算了HFC-227ea的饱和气体密度，并验证了其可信度；关联了饱和气液密度，提出了高精度的HFC-227ea饱和气液密度关联式；关联了临界区气液共存线，可精确再现HFC-227ea临界区性质，并根据临界幂定律导出了HFC-227ea的临界指数和临界幅值。

The paper studied the effects of five kinds of photoperiod(16、 14、 12、 10、 8h light/d) on the two cultivars of camellia japonica('White snow tower' and ' White-red peony').The morphological and physiological indexes relative to growth were measured. Then the critical daylength and the flower bud differentiation of ' White snow tower ' and ' White-red peony' were defined. The results indicated:(1)Camellia japonica was long-daylength plant, and different cultivar had different critical daylength,the critical daylength of 'White snow tower' was about 14 h light/day,while the critical daylength of 'White-red peony' was about 12 h light/day.

本试验以山茶花的两个栽培品种&白雪塔&与&花牡丹&(White-red peony)为材料，主要研究光周期对山茶花成花的效应，通过测定不同光照长度(16、14、12、10、8小时/天)对其生长发育相关的形态指标和生理指标的影响，确定了&白雪塔&与&花牡丹&的临界日长和花芽分化进程。

The calculation and analysis show that the sub-critical fast reactor is feasible for transmutation of minor actinides and can remain sub-critical when it adds some MA, it is feasible to choose the CDFR for the sub-critical fast reactor research.

计算结果表明：次临界快堆中加入MA后能够保持一定的次临界度且具有较好的嬗变效果，因此，选取示范快堆堆芯作为ADS次临界快堆的参考堆芯研究是可行的。

Critical angle of refraction - semi-circular cylindrical mobile light source, the incident angle change the size of refraction angle to change at this time, when the refraction angle = 90 degrees, which is critical at this time angle of incidence angle, the critical angle of water at 40 degrees large about anything mobile source of water in the water screen that is a reflection of light, a phenomenon that total reflection.

光折射的临界角定义：光折射角=90度时，入射角即为临界角，按二方法，将半导体激光光源去掉铁夹，吸附在右下角的铁板上入射光对准中心，即产生折射光线，沿半圆形柱面移动光源，改变入射角的大小，这时折射角也改变，当折射角=90度时，这时入射角即为临界角，水的临界角大的在40度左右，再做移动光源在水中的水屏即出现反射光线，这种现象称全反射。

The unsaturated and compacted soil triaxial test result under constant suction describes the unsaturated soil critical state surface in p-q-s three dimensional space: in p - q plane, the slope M of critical state line is independent of suction; the cross line of LC yield surface and critical state surface is a curve with extremum in three dimensional stress space, and its projection in p-s plane is located in quadrant 1 in triaxial compression state; its projection in q-s plane has asymptote, and there should also be asymptote in respect of the curve that stands for the function relationship between cohesive and suction.

基于局部变形测量的常吸力非饱和压实土三轴剪切试验结果，全面描述了非饱和土p—g—s三维应力空间中临界状态面的合理形态：在p—q平面，临界状态线斜率M是与吸力无关的物理量；临界状态面与LC屈服面交线在三维应力空间中是一条存在极值的曲线；该交线在p—s平面的投影曲线在三轴压缩应力状态下应位于第一象限；该交线在q—s平面的投影曲线应存在渐近线；反映凝聚力与吸力关系的函数曲线也应存在渐近线。

The coexistence curves and light scattering data for a critical solution of benzonitrile + octane have been reported. The critical exponents relating to the difference in the density variables between two coexisting phasesβ, the osmotic compressibilityγ, and the correlation length v have been deduced and the values were consistent with the 3D-Ising value in the range close to the critical point. The experimental results of the coexistence curves have also been analyzed to examine the Wegner correction terms and the behavior of the diameter of the coexistence curves.

用折射率法和不同角度的光散射法测量了苯甲腈+正辛烷二元体系在临界温度附近的液-液共存曲线和一相区不同温度下的渗透压缩系数及关联长度，得到与共存曲线相关的临界指数β，与渗透压缩系数相关的的临界指数γ和与关联长度相关的的临界指数γ，发现在近临界点体系符合3D-Ising模型，讨论了共存曲线直径和Wagner校正项。

In common glass fiber reinforced polyolefine pipe, when the volume faraction is less than the critical value, the glass fiber can not act as reinforcement, on the contray, it would reduce the whole intensity of the compound material. However, when extruded in combined stress field, the extend intensity of the compound system increases when the volume fraction of glass fibers is less than the critical value. When the glass fiber volume fraction is higher than the critical value, the required glass fiber volume fraction of compound fibers extruded in the combined stress field is less than theory value.

一般玻璃纤维增强管材在常规挤出时当添加的玻璃纤维体积含量小于临界体积分数(当添加的玻纤的复合体系拉伸强度等于基体聚合物材料的拉伸强度时的玻纤体积分数)时，玻纤起不到增强的作用，反而会使复合材料的整体强度降低；但在复合应力场下挤出时，当添加的玻纤含量小于临界体积分数时，复合体系的拉伸强度不但没有降低反而升高了；当添加的玻纤含量大于临界体积分数时，复合体系要达到同样强度，经过复合应力场的玻纤增强管材需要的体积分数小于理论值。

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。