查询词典 finite difference approximation

The numerical examples show that the three models stated above for the dynamic analysis of strap-on rocket and the dynamic re-analysis scheme for semi-analytical finite elements are reasonable, feasible and quite effective, the models presented can be used to obtain more accurate vibration modes including the modes missed in the multibeam approximation.

本论文给出的一些计算实例表明：对于捆绑式火箭的上述三种计算模型以及回转壳的动力分析的重分析修正方案是合理、可行的，也是有效的。

For convenience of finite element discretization and preserving symmetry of the stiffness matrix, approximation and symmetrization of the continuum equilibrium equations were conducted.

为了便于进行有限元离散化并保持总刚度矩阵的对称性对连续介质平衡方程进行了简化和对称化处理。

Based on reference outcomes and the analysis of finite element of new type joint, the calculation value of moment-resistant carrying capacity and reference experimentally outcomes are uniform approximation.

结果分析表明：新型节点的有限元计算结果和文献的试验结果吻合较好，由此证明本文钢管混凝土梁柱节点的有限元模拟分析的可行性。

The variational method and the effective mass approximation are used to calculate the phonon effects on the hydrogenic impurity states in a cylindrical quantum wire with finite deep potential by taking both the couplings of the electron-confined bulk longitudinal optical phonons and the impurity-ion–LO phonons into account.

采用有效质量近似和变分方法，同时考虑电子-约束型体纵光学声子及杂质离子-LO声子耦合，计算了有限深柱形量子线中杂质的极化效应。

This has offered theoretically approximation and finite element methods so as to complement the theory of fractal interpolation cambers.

本文最后不但列举了现代数学分析方法在阳极焙烧及其热工过程中的具体应用途径，而且在求解热工微分方程近似解时提供了计算技巧。

In the present work, we have done the following modifications: the finite range Gogny force has been used where the pairing correlation can be considered self-consistently, no symmetry restriction has been imposed where the triaxial and higher multipole deformations can be discussed, no approximation for Hartree-Fock and pairing fields has been done where all the contributions from Gogny force, Coulomb force and the center of mass correction to Hatree-Fock and pairing fields have been included.

Sakata等人首先提出组态指定的参考态方法，并在具有轴对称和旋称对称性的Skyrme-Hartree-Fock平均场中实现了这种新的微观描述，自洽地给出具有不同组态的激发态及随原子核转动频率或形变连续变化的平均场。

With this method, the nextto-leading order Debye screening mass was evaluated within real time hot QCD. Since the gluon damping rate was included self-consistently on the internal line of the self-energy, the infrared divergences were removed without putting by hand in a nonperturbative magnetic mass as a cutoff, and the results are positive and gauge-independent. In addition, the selfconsistent calculation method of the damping rates of the fast moving particles in a QGP was suggested, the self-consitent equations were derived at finite tempeature without infrared divergences, and the approximation solutions were shown. Meanwhile the relaxation times of the gluons and quarks were estimated as τ〓～0.7fm/c and τ〓～1.5fm/c at energy scales of RHIC and LHC.

用这种自洽方法从实时热QCD出发用计算了QGP中次带头阶Debye屏蔽质量，由于自洽包含了胶子自能内线中横胶子的衰减率，克服了红外发散的困难，不必用手加的非微扰磁质量作截断，证明了得到的结果是正定的且规范无关，同时本文给出了QGP中快速粒子衰减率的自洽计算方法，推出了有限温度下快速粒子衰减率的自治方程且红外发散不出现，给出了方程的近似解，并估计了RHIC和LHC能标下胶子和夸克的弛豫时间分别为τ〓～0.7fm/c，τ〓～1.5fm/c。

In conclusion, the results of multilevel model analysis showed that the GERD score of resident in Wuhan was relatively higher and had significant difference with that in Guangzhou, however, that in Shanghai, Beijing and Xi\'an had no significant difference compared with that in Guangzhou. That is to say, the prevalence of GERD in Wuhan was relatively higher compared with the other four survey sites; the residents'health status more worse, the GERD score more higher, and the influence of health status on GERD score was also effected by the region difference between Wuhan and Guangzhou; residents lived in rural region with lower education level, worse spirit status were more likely to suffer from GERD; Moreover, those residents who had family history of GI tumors or other GI diseases, some anamneses (such as dyspepsia, gastritis, rheumatic arthritis), and some diseases (such as irritable bowel syndrome and aerophagia) were also more likely to report GERD. However, no significant association was found between GERD and some other factors in this survey, such as sex, age, etc.

总之，多水平模型分析结果显示，与广州相比，上海、北京和西安居民的GERD总评分没有明显的差异，而武汉居民的GERD总评分则相对较高，即表示武汉的GERD发病率在5个调查城市中相对较高；居民的总体健康状况越差，其GERD总评分越高，且其对GERD总评分的影响受到武汉与广州之间地域差异的影响；农村居民、文化程度越低、精神状况越差者更容易患GERD；另外，那些有胃肠道疾病或肿瘤家族史，既往患有胃炎、消化不良、风湿性关节炎，现患有肠易激综合征、吞气症的人，患GERD的可能性更大，而性别、年龄等因素，本研究未发现其与GERD有显著的关系。

The scattering properties of particles with different shape parameters are simulated respectively in the modes of reflection and refraction. Both in the modes of reflection and refraction, the phase difference of non-spherical particle's PDA signal is the unbiased estimate of the corresponding phase difference of ideal spherical particle, and the standard deviation of angle roughness scale on particle surface impacts little on the distribution of phase difference.

本文通过物理光学的方法分析了非理想球形粒子的散射特性，利用物理光学中的稳相点理论，导出了非理想球形粒子散射光的相位表达形式，分析了非理想球形粒子的形状对PDA信号相位及相位差的影响，建立了非理想球形粒子的尺寸分布与PDA信号相位差分布之间的关系。

To against an afterload of 1.96kPa(200mmH_2O), measure two groups of direct flow and antidromic flow, both begin with the pressure difference of 0mmH_2O, add more 20 mmH_2O every time ,measure three tines at each pressure difference, get the average value at each pressure difference.

测试分为顺向和逆向两组，在克服后负荷压强为1.96kPa(200mmH_2O)情况下，分别从0mmH_2O压力差开始，每隔20mmH_2O递增，测量通过静脉外间接人造瓣膜的生理盐水流量，每个压力差值测量3次，取平均值。

We were cousins—his grandfather was King of Scots,and his great-grandfather was Henry VII of England.

我们是堂姐弟——他的祖父曾是苏格兰国王，他的曾祖父是英格兰的亨利二世。

I do want to help you, but I am in a quandary now!

我是想帮你，但是我现在左右为难啊！