在数

For higher codimension, the situation becomes more complicated. Due to the counterexample of Lawson-Osserman [31], the higher codimension Bernstein type result is not expected to be true in the most generality.

在余维数为1的情况，这个结果以被推广到(n+1)-维欧氏空间中(n≤7)，以及在某种增长性限制下，这个结果被推广到任意维数欧氏空间中，这些结果可以参考[17]及其参考文献中所提到的文献。

There are rich phase structures in QCD at finite temperature and baryon chemical density, for instance, from hadron gas to quark-gluon plasma, chiral symmetry breaking phase and its restoration phase, the color superconductivity at low temperature and baryon chemical density.

在有限温度和重子数密度下，QCD包含了丰富的相结构，从强子气体到夸克-胶子等离子体，从手征对称性的破缺相到恢复相，在低温高重子数密度下的色超导等等。

The rate of fall is dependent on the continuity of the scale function in time domain. Furthermore, it relates with the multiplicity of zero point at ω=π of the amplitude spectrum of the low pass filter. The distribution of zero points was investigated thoroughly. From the above statement, the dominant interval is deduced to be [0, 2π].

衰减性取决于尺度函数的连续性，进一步它与低通滤波器在ω＝π处零点重数有关；详细讨论了零点的分布及其重数；由零点的分布和衰减性推出尺度函数的幅值谱主导区间为[0，2π]；ω＝0处极大值性态与低通滤波器在该处性态相同。

The information of datagram is deposited in corresponding array cells.

将数据报的信息存放在与其网络时延相对应的结构数组元素中，在每个采样点系统只使用结构数组相应元素中的信息，实现了对数据包网络时延的仿真。

Reduce the computing complexity of magnetic field integral equation with differential quotient, which makes the computing which combined field integral equation more efficiently.

在AIM算法的实现技术方面作了两个改进：一是采用了新的多极子展开方案，保证了迭代的数值稳定性；二是在差商逼近偏导数的过程中全部采用二阶形式，保证了差商逼近偏导数的精度。

Based on the research work of basic theories including phase space reconstruction,embedding theorem,correlation dimension,local dynamics,Lyapunov exponents,surrogate data etc,based on the research work of general methods such as principal component analysis,correlation dimension GP algorithm,false neighbors method,nonlinear time series prediction,local prediction, adaptive prediction,neural network model,support vector machines regression model, prediction power,nonlinear detection,coarse-graining methodology,conditional entropy and so on,the framework of nonlinear time series analysis are constructed.

在对包括相空间重构、嵌入定理、关联维数、局部动力学、Lyapunov指数、替代数据(来源：A97BC论文网www.abclunwen.com)、等基本理论与其物理意义的研究和讨论基础上；在对包括主分量分析、关联维数GP算法、伪邻近点法、非线性时间序列预测、局域预测、自适应预测、神经网络模型、支持向量回归模型、预测效果、非线性检测、粗粒化方法、条件熵等非线性时间序列一般分析方法的原理和算法研究基础上；构建了新的非线性时间序列分析的理论体系，归纳总结了非线性时间序列分析的基本问题和主要研究方面。2。

Similarly, the number of negatively charged electrons moving around the nuclei of the atoms increases across a period, but the additional electrons are all located in the same electron energy level or shell.

在一个周期里，原子的核电荷数和核外电子数递增，但是另外的电子都排布在同一电子能级或电子层中。

From the results obtained in the study, the following conclusions can be made:The methylene blue and spectrophotometer method can capture the free radicals generated successfully. This is an effective way to measuring the free radicals quantitatively in cavitation, moreover it is easy to fulfill.The intensity of cavitation increases with reduction in the cavitation number. But the different mechanism of various enhancive processes (chemical and physical processes) results in different effect by cavitation number.The effect of operating parameters, such as inlet pressure, temperature and time on cavitation indicate that optimum operating conditions exist at the cavitation enhancive effect is maximum.It is important to optimize the structure of hydrodynamic cavitation reactor for achieving a desired effect. A reasonable geometric parameter can promote the enhancive effect for a fixed hydrodynamic condition.Ventilating appropriate gas to cavitating flow can increase cavitational intensity and hence promote the enhancive effect of hydrodynamic cavitation.

研究结果表明：亚甲基蓝分光光度计法，能够成功地捕捉到水力空化产生的羟自由基，是定量检测空化自由基简便易行的有效方法；空化程度随空化数的减小而增强，但对于不同的强化过程，因其强化机理不同，故空化数对强化效应的影响也不同；水力空化系统的压力、温度及时间等操作参数对空化强化效应的影响规律表明：在适宜的操作条件下可产生最佳的空化强化效果；空化发生器结构的优化设计是保证空化强化效应的重要前提，在一定的水力学条件下，合理的结构尺寸可以增强空化作用效果：往水流中适量加入干扰气体能够提高空化强度，增强空化强化效果。

In order to reduce error of Nu number at large Ra number and thermal diffusivity, we analyze truncation error of corresponding heat-transfer equation and introduce an adjusting parameter in the equilibrium distribution function.

针对一二阶精度模型在Ra数极高或热传导系数极大时，Nu数的计算与经验值相比出现较大偏差，分析LBM对应宏观热传导方程的截断误差后，在平衡分布函数中引进一个调节因子。

It provides a way to find optimal lower dimensional approximations of the given data, and It enormously reduce the storage of the data which is needed when the physical processes is recurred. The physical process can be described in series expansion function that only is related to the time and space. It is optimal approximation of the given data in a certain least squares optimal sense. The most obvious advantage of the method is that it reduces the computation cost and computation time markedly.

它提供了一种描绘物理过程的有效方法，该物理过程可以写成一个只与时间相关的函数和一个只与空间相关的函数的展开式序列，且它们在均方意义上是最优的，在展开式中只需要少量的项数就可较准确地描述该物理过程，因此降低计算维数、减少计算量和节省计算时间是这个方法最明显的优点。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失