数值的

Using Biot's 2D elastodynamic theory solves the saturated soil equation. The Fredholm integral equation of the second kind can be built by using the fundamental solution of circular load, the compatibility condition and superposition method. The Fredholm integral equation of the second kind of pile groups can be solved by using numerical method. The numerical solutions of pile groups axial forces, pore pressures under vertical harmonic loading and shear forces, moments and pore pressures under horizontal harmonic loading can be obtained.

采用Biot提出的三维波动原理，利用圆形简谐载荷作用下的Biot固结方程的基本解和桩土之间的变形协调条件，并采用叠加原理得到饱和土中群桩的第二类Fredholm积分方程，应用数值法求解群桩的第二类Fredholm积分方程，得到在垂直简谐载荷作用下群桩的轴力、孔压随桩身变化的数值结果以及在水平简谐载荷作用下群桩的剪力、弯矩和孔压随桩身变化的数值结果。

Forexample, the group 2, 4 and 10 of BOX-PCR were good agreement with group 5, 13 and12 of numerical analysis, and the group 3, 4 and 8 of RAPD were equal to group 6, 12and 8 of numerical analysis, and the group 5, 6 and 8 were identical with group 6, 12 and8 of numerical analysis, which indicated the 4 methods used could reveal the biodiversityamong the tested free-living nitrogen fixation strains.

总的来说，本研究所采用的表型分群和遗传型分群的结果在总体趋势上是一致的，BOX-PCR的群2、4和10分别与数值分类中的第5、13和12表观群一致；RAPD的群3、4和8分别与数值分类的群6、12和8相对应，16S rRNA PCR-RFLP中的群5、6和8则数值分类的群6、12和10完全吻合，说明本实验所获得的研究结果可信。

Except in Gaussian process, the best prediction in MA model is nonlinear, generally there is no exact solution, it could compute numeric solution by numeric method.

除了在高斯过程之外，MA模式下的最佳预测都是非线性，一般情况下无解析解，只能透过数值方法得出数值解。

Chapter 5: Evaluate a given water-air intercooler both in academic and experimental ways so as to test the validity of the two ways.

第五章：以6BTA型水空中冷器为例，进行数值模拟评估，以验证试验平台和数值模拟评估方法的正确性。

Numerical results obtained by inverse Laplace transformation were used to discuss the difference of the dynamic responses of shell under different response modes by respectively applying axial symmetry load and fluid load.

最后利用Laplace数值逆变换得到时间域中的数值结果，讨论了在球壳内作用有轴对称荷载和流体压力两种情况时不同响应模式条件下球壳动力响应。

At the same magnetic intensity, the stabilization of fluidized bed is in inverse proportion to the gas apparent velocity.

实验结果和数据也与数值模拟结果基本吻合，进一步证明了数值模拟结果的正确性。

Secondly,we develop multiple-dimensional Jacobi polynomial approximations in non-isotropic Hilbert spaces.

本文在建立Jacobi谱方法和拟谱方法数值分析理论的基础上，数值求解这三类问题。

Finally, a Lorenz system is employed to verify the effectiveness of the proposed method, and the simulation results are shown in the end of this paper.

在本文最后，针对Lorenz系统进行了数值计算，数值计算结果表明了所给方法的有效性。

Owing to the drawbacks of analytical shimming, this paper puts forward the concept of passive numerical shimming for searching a method of compensating Bz'easily to a high level and with a low cost. Based on the magnetic field caused by a magnetic moment, the distribution of moments in a superconducting NMR imaging megnet can be determined through some pseudoinversion algorithm directly from Bz'. The moments are used to compensate Bz'.

无源数值匀场的出发点直接是不均匀磁场的磁场偏差B〓本身；无源数值匀场的基础为磁性材料的磁矩所产生的磁场；由已知B〓，通过某种逆运算，确定磁性材料的磁矩在主磁体中的分布，实施此分布，以磁性材料的磁矩所产生的磁场直接对B〓进行补偿——这便是本文提出的无源数值匀场的概念。

The numerical simulation of the detection signal was implemented with the theory of diffraction optics, and the numerical simulation of the wavefront reconstruction was realized with Green function algorithm under Neumann boundary conditions.

根据衍射光学理论，对其探测信号进行数值模拟，并利用Neumann边界条件的Green函数法对其波前重构进行数值模拟。

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。