不调和

We've found that on symplectic manifolds there exists a series of Euler-Lagrange cohomology groups different from both de Rham and harmonic cohomology in general and proposed a set of general volume-preserving equations that contain the Hamiltonian equations as a special case.

中文摘要：我们发现在作为经典力学中的相空间的辛流形上有可能存在不同于de Rham上同调和调和形式的上同调，称之为Euler-Lagrange上同调；提出相空间上保体积的一般方程，通常的正则方程是其特殊形式；进而推广了经典力学中著名的刘维定理；同时把Noether定理与上同调联系起来。

At many occasions they arise quite natu-rally.For example,they appear in the Iwasawa decomposition of the isometry group ofa non-compact Riemannian symmetric space.Also,every connected homogeneous Rie-mannian manifold of non-positive sectional curvature can be represented as a connectedsolvable Lie group with a left-invariant Riemannian metric.

它们出现在非紧致黎曼对称空间的等距群的Iwasawa分解中；任一非正截面曲率的连通齐性和黎曼流形可以表为带有左不变黎曼度量的连通可解李群等，带有左不变黎曼度量的幂零及可解李群的微分几何，调和分析和谱几何是重要的研究课题。

The main results are:(1) the L1 boundedness of the Cesaro means operator of the harmonic expansions on the unit sphere with reflection-invariant measures is proved, and the characterization of the convergence index is given; for the points not in the planes with singularities, the pointwise convergence is also proved; these results are the generalizations of those both for the classical spherical harmonic expansions and for the Jacobi expansions;(2) Using the differential-reflection operators of Dunkl type, the uncertainty principle of a class of Sturm-Liouville operators is established, and as consequences, the uncertainty principles of some well-known classical orthogonal expansions such as Jacobi, Hermite and Laguerre expansions are obtained;(3) by introducing the Cauchy-Riemann equations in terms of the differential-reflection operators of two variables, the harmonic analysis of the extended Jacobi expansions is studied; the results include the Lp boundedness and the weak-L1 boundedness of the conjugate extended Jacobi expansions; specially, for some indexes p smaller than 1, the basic theory of the related Hardy spaces is established.

主要成果有：（1）证明了带有反射不变测度的球面调和展开蔡沙罗平均算子的L1有界性，给出了收敛指标的特征刻划，对不在奇性平面上的点，还证明了点态收敛性，这些成果同时推广了经典球面调和展开和雅可比展开的结果；（2）利用Dunkl型的微分-反射算子建立了一类斯特姆-刘威尔算子的测不准原理，并由此得到一些著名的经典正交展开如雅克比展开、赫米特展开和拉盖尔展开的测不准原理；（3）利用由两个变量的微分-反射算子定义的柯西-黎曼方程组来研究扩展雅克比展开的调和分析，证明了共轭扩展雅克比展开的Lp有界性和弱L1有界性，特别是对小于1的一些指标p，建立了相应的哈代空间的基本理论。

They do not know those parts of it which explain and justify the reminder:the considerations which show that a fact which seemingly conflicts with another is reconcilable with it,or that,of two apparently strong reasons,one and not the other ought to be preferred.

他们不了解理论的解释和说明部分，这些部分提醒人们思考：一个事实好像和另外一个事实相冲突但实际上却是可以调和的，或者两个明显都是有着牢固根据的理由，其中一个而不是另一个总该受到人们的青睐。

In terms of honor, l stand aloof and will no reconcilement.

雷 为了荣誉，我的立场不会变，我们不可能调和。

Unlike Newman, who aimed at reconciling differences, and to whom the Lutheran formula was but "a paradox or a truism", Ward repudiated the "solifidian" view as an outrage on the Divine sanctity; it was "a type of Antichrist", and in sound reason no better than Atheism.

不像纽曼，谁旨在调和的分歧，以及向谁路德公式，而是&一个悖论或不言自明&，病房推翻了& solifidian &的观点是一种不能容忍的对神的神圣性，这是&一种antichrist &，并在健全的原因，不优于无神论。

Neither is the spirit a man, for it is called the spirit, and not a man; but the commingling and union of all these constitutes the perfect man.

灵也不就是人，因为它称为灵，而不称为人。而是这三者充分地调和与联合才构成完全的人。

18 God reconciles the world to Himself, reaches to all, but that it is not sealed indiscriminately on the hearts of all to whom it comes so as to be effectual.

神调和世界上对自己，以达到所有的，但它不是密封，不分青红皂对心，所有的人来等，以行之有效的。

Among them we may occasionally see some man of deep conscientiousness, and subtle and refined understanding, who spends a life in sophisticating with an intellect which he cannot silence, and exhausts the resources of ingenuity in attempting to reconcile the promptings of his conscience and reason with orthodoxy, which yet he does not, perhaps, to the end succeed in doing.

在这一大群之中，我们还可以间或看到某个具有深刻良心和精细理解的人，用其一生以他所不能压熄的智力从事于矫作世故，并竭其一切巧思努力于把其良心和理性所迫促的东西与正统调和起来，而最后或许还办不成功。

The brush pen is sharp, soft and elastic so that Chinese calligraphy and painting is likely to become an art of line. Chinese ink can be diluted and attempered. Moreover, it is neither sticky, nor astringent nor stagnant. These properties make people able to write or paint freely. The paper for Chinese calligraphy and painting, especially rice paper, can absorb Chinese ink of various kinds. It is suitable for calligraphy and painting using brush pen.

其中，毛笔笔锋尖细、质地柔软而富有弹性，这使得中国书画更易成为一种自由表达的线的艺术；松墨和油墨易于稀释和调和，而且不粘、不涩、不滞，可以保持运笔的灵活，并通过墨汁的浓淡变化实现写意的目的；中国书画的用纸具有吸附软笔水墨的特性，不仅适宜于毛笔的书写，也有利于发挥墨的特性。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。