查询词典 solutions

Comparing with water, the optimal heat transfer enhancement is achieved near the critical micelle concentrations of surfactants. The degree of heat transfer enhancement is different with different surfactants and is influenced by solubility characteristic, ionic nature and chemical structure of surfactants. Boiling in surfactant solutions, when compared with that in water, is observed to be more vigorous with smaller-sized, more regularly shaped and faster departure frequency bubbles, but the surfactant solutions of Triton X-100 and Triton X-114 become cloudy for the cloud point of surfactants.

和水相比，表面活性剂强化池内核态沸腾换热的最佳浓度为临界胶束浓度；不同种类表面活性剂强化换热程度不同，它们与表面活性剂的溶解特性、离子类型和化学结构有关；溶液沸腾时，沸腾汽泡的脱离直径变小，脱离频率变快和更不易聚集，但非离子表面活性Triton X-100和Triton X-114由于存在浊点其沸腾溶液变浑浊。

Meanwhile, we proved the unboundedness of solutions of Lienard equations with weaker damping terms when the rotation number is irrational. We still obtained the unboundedness of solutions of Lienard equations with asymmetric nonlinearities at resonance.

另外，还通过应用Birkhoff遍历定理证明了当旋转数为无理数时，弱阻尼的Lienard方程无界解的存在性；同时，证明了共振条件下具有不对称非线性项的Lienard方程无界解的存在性。

Isopiestic measurements are known to be one of the most accurate methods in determining thermodynamic properties for aqueous solutions and has been used mainly for binary and ternary unsaturated solutions.

等压法是测定溶液热力学性质的最精确的方法之一，前人主要用它测量二元和三元非饱和水溶液。

In this paper,some approximate optimal solutions and an augmented Lagrangian function in nonlinear programming were introduced,duality map and duality problems based on the augmented Lagrangian function were established, relationship between the approximate optimal solutions of augmented Lagrangian function and primal problem was discussed.

介绍了几种近似最优解和增广拉格朗日函数，建立了基于增广拉格朗日函数的对偶映射和相应的对偶问题，讨论了增广拉格朗日函数的几种近似解和原问题的几种近似解的关系，得到的结果推广了一些已有的结论。

Furthermore, the problem of coupled piezothermoelastic response of a piezoelectric cylinder of crystal class 6mm is investigated. Analytical solutions for this problem are successfully obtained by using Bessel-Fourier series expansion and Laplace transform. These solutions are helpful for study of the influence of coupling on the distribution of stresses, displacements, electric potential and other quantities as well as the role of inertia term.

研究了热电材料圆柱的瞬态压电热弹性响应问题，应用Bessel-Fourier级数展开和拉氏变换方法成功地求得了该问题的解析解，此解有助于研究瞬态响应问题中耦合效应对应力、位移和电势等物理量分布的影响以及惯性项的作用等问题。

Laplace transform is used to obtain the analytical solutions and long-time/short-time asymptotic solutions of the model.

然而实际油气藏的分布和孔隙结构是相当复杂的，对于非欧几里得的非均质多孔介

And we show the form of the reduced density matrix master equation and its solution at first .Then we derive the solutions of Ohmic spectrum and Laurent series spectra master equations. Finally, we make analysis of the solutions of stochastic process and their coefficients from the cumulants, late time uncertainty function and linear entropy

首先展示了有关约化密度矩阵主方程的形式和解的形式；接着推导出欧姆谱和分洛朗级数谱这两个随机过程主方程的解；最后从累积量，延时不确定关系和线性熵等方面来研究随机过程主方程的解及其系数特点。

Finally, we study the continuous reliant relation of solutions and initial-boundary condition , give the stability analysis by studying the limit relation of solutions of several initial-boundary value problems.

最后，研究了解对初边界条件的连续的依赖关系，具体通过研究迎头法与宽脉冲、迎头法与渐变迎头法、宽脉冲与δ脉冲、宽脉冲与渐变宽脉冲等几类特殊初边值问题解之间的极限关系来进行稳定性分析。

Some special matrices and numerical characteristics related to iteration solutions of linear systems, convergence and comparison theorems of matrix splittings, preconditioning techniques for iteration solutions of saddle point problems are deeply studied in this thesis.

本文对与大型线性代数方程组迭代求解有关的特殊矩阵和数值特征进行了深入的研究，特别系统地研究了矩阵分裂迭代法的收敛性和比较理论及鞍点问题迭代求解预处理技术。

Moreover, existence, uniqueness and continuous dependence of decreasing solutions and non-monotonic solutions for a linear iterative functional equation are discussed.

第三章研究了线性型迭代方程的拟凸解、拟凹解、凸解及凹解的存在性。

Panorama Many people are dancing in a large sitting room.

在一个大客厅里，许多人在跳舞。

We fully understand how a microwave oven cooks food, it is first necessary to talk ...

我们充分理解一个微波炉煮的食物，这是首先要谈。。。