查询词典 hilbert problems

We also discussed the hierarchy of language inclusion of quantum automata in Hilbert spaces.

我们还对Hilbert空间上量子自动机语言形成的谱系进行了研究。

Professor Hilbert, I'm an IRS agent.

希柏特教授，我是国税局的人

Hilbert are great masters of mathematics who have devoted themselves to modern mathematics development.

希尔伯特是遐迩闻名的两位数学大师，他们对现代数学的发展作出了杰出贡献。

Hilbert 的话'We must know, we will know.

翻成「当我们必须知道，我们就一定会知道」，也是可议的（页61）。

At least that's what Professor Hilbert said.

希柏特教授是这么说的

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。

There are a variety of problems associated with the Basset Hound including; eye problems from the drooping lower eyelid, limb problems and ear irritations due to the lack of air circulation in the ear canal.

这里有各式各样的问题都与Basset力猎犬包括；眼科问题，从下垂的下眼睑，四肢问题和耳朵发炎症状，由于缺乏空气流通，在耳道。

Real estate experts, the general quality of the new premises cracks some common and not harm to the main structure, the maintenance could be solved; There are not easy to handle the cracks, some of the concrete itself may be limited, quality problems, and even reinforced their intensity and laying spacing problems may affect the useful life of housing, serious security problems will occur.

房产专家介绍，新房裂缝有些是一般的质量通病，不伤及到主体结构，维修就可以解决；还有的裂缝就不好说了，有的可能是混凝土本身的配比、质量有问题，甚至钢筋本身的强度和铺设的间距有问题，有可能影响房屋的使用年限，严重的会发生安全问题。

The second improvement is to combine the fuzzy optimization model, which has its advantages with view to quantitative problems, with the decision-making method based on fuzzy congruity theory, which has its advantages with view to qualitative problems, thereby a model that is more applicable to the practical evaluation of the problems that have both quantitative indices and qualitative indices, or a so-called mixed model is established.

本研究提出了相应的改进方法：一是将基于模糊一致矩阵理论的决策分析方法推广到了多层次的情况，使之适用于多层次、多指标综合评价问题；二是将对定量指标问题具有优越性的模糊优选模型和对定性指标问题具有优越性的基于模糊一致矩阵理论的决策分析方法结合起来，构建了更适合应用于实际综合评价问题既有定量指标又有定性指标的模型，即所谓的混合型模型。

The second improvement is to combine the fuzzy optimization model, which has its advantages with view to quantitative problems, with the decision-making method based on fuzzy congruity theory, which has its advantages with view to qualitative problems, thereby a modelthat is more applicable to the practical evaluation of the problems that have both quantitative indices and qualitative indices, or a so-called mixed model is established.

本研究提出了相应的改进方法：一是将基于模糊一致矩阵理论的决策分析方法推广到了多层次的情况，使之适用于多层次、多指标综合评价问题；二是将对定量指标问题具有优越性的模糊优选模型和对定性指标问题具有优越性的基于模糊一致矩阵理论的决策分析方法结合起来，构建了更适合应用于实际综合评价问题既有定量指标又有定性指标的模型，即所谓的混合型模型。

That snake Alaric named Archbishop...

庇护。。。那个毒如蛇蝎的Alaric被命名为大教主。。。

You have done lots of magical things to be amazed at.

你做了很多神奇的事物感到惊讶。