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Chapter 9: We report a large quantity of numerical experiments of 13 different algebraic multigrid algorithms for solving the Poisson equation, anisotropic equation, equation with cross-derivative terms, general matrix problems with large off-diagonal positive entries, biharmonic equation, Toeplity matrix, elasticity systems, finite element discretization of the Laplacian and even 3D problems. Particular attention is focused on asymptotic convergence factors and CPU-time consumed. Numerical results for many different types of practical problems demonstrate the efficiency and robustness of the proposed algebraic multigrid methods.

第九章：在各种代数多重网格算法的基础上，进行了大量的数值试验，具体给出了十三种不同的代数多重网格方法求解泊松方程，各向异性方程，带混合导数项的方程，带有大的非对角正元素的一般矩阵问题，重调和方程，托普利兹矩阵，弹性力学方程组，拉普拉斯算子的有限元离散，甚至三维问题的较为丰富的数值结果，重点关注它们的渐近收敛因子和所需的CPU时间，来源于不同类型问题的计算结果既为代数多重网格理论分析和算法的改进提供了很实用的资料，同时也证实了本文给出的代数多重网格算法的效绩和稳健性。

This particular formula involves a special function,which is the uniformly bounded solution to a scalar Riemann-Hilbert problem,and which is asymptotically equal to the constant "1" except at the origin.

这个特殊的公式包含了一个特殊函数，这个特殊函数实际上是一个一维Riemann-Hilbert问题的一致有界的解，并且除了在原点，它的取值都渐近地等于常数"1"。

Fifthly, the rise of China will not stand in the way of any other country or pose a threat to any other country or be achieved at the expense of any particular country.

第五，中国的崛起不会妨碍任何人，也不会威胁任何人，也不会牺牲任何人。

Fifthly, the rise of China will not stand in the way of any other country or pose a threat to any other country, or be achieved at the expense of any particular nation.

第五，中国的崛起不会妨碍任何人，也不会威胁任何人，也不会牺牲任何人。

He may not even be at risk for any particular disease.

他可能不会有某种突发疾病的危险。

This person is not il. He may not even be at risk for any particular disease.

这个人并没有什么病，甚至可能也没有患某种特定疾病的危险。

This person is not ill. He may not even be at risk for any particular disease.

这个人并没有病，甚至连处于得某种病的边缘都不是。

This person is not ill. He may not even be at risk for any particular disease. But we can

这个人不算生病，他甚至没有什么风险换上疑难杂症。

Are men at risk for any particular mental health concerns?

问：男人们是否已经陷入某种心理健康的困扰中了？

In particular, he addresses spherical and affine buildings, and the "spherical building at infinity" attached to an affine building.

特别是，他的地址和仿射球形建筑，以及"在仿射建设附加到无穷大"球形建筑。

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。