定理的

By reviewing carefully original literature,it is pointed out that pursing a more general reciprocity law maby the most motive of the development of algebraic number theory, usual material mainly emphasizes the function of Fermats last theorem.

通过原始文献的深入分析，研究表明：一般互反定律的寻求可能是代数数论发展的最主要动力，而通常文献中主要强调了费马大定理的作用。

Based on them, we calculated precisely some enegy levels of P-wave and D-wave of a helium atom, presented and proved the general interdimensional degeneracies for a quantum N-body system, derived the general spherical spinor functions and the exact solution to the Dirac equation for the hydrogen atom, and proved uniformly the Levinson theorem for the Dirac equation in D-dimensions.

在此基础上，我们精确计算了氦原子P波和D波若干较低能级，建立和证明了量子N体系统不同维数状态间最普遍的简并，推导出任意 D 维空间广义球旋函数和Dirac方程氢原子的精确解，统一地提出和证明了任意 D维空间Dirac方程Levinson定理的一般形式。

This paper presents the statements of the Uniqueness Theorem for magnetic field at first, then proves it in Conlomb Norms and general conditions. The latter is only a special one under the normal case.

本文首先给出静磁场唯一性定理的表述形式，对一般情况下和库仑规范条件▽A=0下的情况均作了证明，得出后者只是一般情况下的一个特例。

Greek philosopher and mathematician who founded in southern Italy a school that emphasized the study of musical harmony and geometry. He proved the universal validity of the Pythagorean theorem and is considered the first true mathematician.

毕达哥拉斯古希腊哲学家和数学家，在意大利南部创立学派，强调对音乐和谐及几何的研究：他证明了毕达哥拉斯定理的广泛有效，性并且被认为是世界是第一位真正的数学家

The sufficient condition of strict dissipativity for this kind of singular systems is then obtained, the robust dissipative controller for the class of singular systems with uncertainties is also given.

给出了此类不确定广义系统严格耗散的充分条件，然后设计了此类不确定广义系统的鲁棒耗散控制器，最后通过数值算例验证了定理的可行性。

Based on the upper bound limit analysis theorem,upper-bound answers of bearing capacity of circular shallow foundations by suitable choice of a kinematically admissible velocity field and admissible failure mechanisms were derived.

在极限分析上限定理的基础上，选择合适的机动位移速度场及容许破坏模式，推导出地基承载力上限解，然后利用弹塑性力学知识得出了滚石冲击压力以及滚石冲击深度的计算表达式。

Based on its exact kinematic analysis and by applying the power equation of kinetic energy theorem,its balance analysis is given,and the exact analytical expression for computing crank axle torque is obtained.

在对摆杆型游梁式抽油机进行详细运动分析的基础上，应用动能定理的功率方程对其进行了平衡分析，得到了曲柄输出轴扭矩的解析表达式。

Ideal Kaehlerian slant immersions in a complex space form are also proved to be minimal, which is a natural generalization of Chen's result.

另外对于复空间形式中的Kaehler slant浸入，如果它是理想的，则必是极小浸入，该结果是Chen定理的自然推广。

Based on this theorem, a new design method can be used not only in the SISO's BDNS, but in the MIMO's square matrix BDNS (numbers of input equal ones of output). The equations of motion of a missile are a three-square matrix BDNS . Then, it is naturally to design a flight control system by BDC method.

在此定理的基础上，又提出了BDNS的块对角控制器（Block Diagonal Controller-下文简称BDC）设计方法，这种方法不仅适用于单输入单输出BDNS，而且对于多输入多输出的方阵BDNS也同样适用。

In this paper, the author queried a few conclusions in [1] , and elaborated different views on several problems, such as relations between non-Euclidean geometry and real space, relations between mathematical logic and thinking, the significance of Godel s second incompleteness theorem, and so on.

本文对文〔1〕的几个论断提出一些疑问，并在&非欧几何与现实空间&、&数理逻辑与思维&、&哥德尔不完备性定理的意义&等若干问题上表述了与《数学是什么》一文中不同的观点。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。